My lil sister said she needs help with ALL of the questions..........if you help i will give you brainliest

My Lil Sister Said She Needs Help With ALL Of The Questions..........if You Help I Will Give You Brainliest

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

Monday

1.) 1250 gallons of water for 1 ounce of Granular chlorine.

2.) w = 1250c

Tuesday

9.5% of 50

0.095 × 50 = 4.75

The fee costs $4.75

Since the fee will be deducted from the selling price..

50 - 4.75 = 45.25

Once he pays for the fee, he'll make $45.25.

Wednesday

To get 1 cup of sugar, you multiply 4 to 1/4 meaning to find the proportional amount of flour used, you have to multiply 2/3 by 4

2/3 × 4 = 8/3

She should use 2 ²/₃ cups of flour

Since in the new recipe, we're multiplying everything by 4..

16 × 4 = 64

With this new recipe, she can make 64 cookies.

Thursday

4800 ÷ 6400 = 0.75

0.75 × 100 = 75

4800 is 75% of 6400

100 - 75 = 25

So, the cost of health insurance for the family increased by 25%

Friday

y = 6x


Related Questions

The following table shows a small community's demand for monthly subscriptions to a streaming movie service. Assume that only two firms (Nextflix and Flixbuster in this market, that each firm offers the same quality of service and movie selection and that each firm's marginal cost is constant and equal to (zero) due to excess capacity. Price/ MonthNumber of Total (P) Customers (Revenue /Month(TR) $10 0 9 100 900 8200 1,600 7 300 2,100 6 4002,400 500 2,500 4600 2,400 3 700 2,100 2 800 1,600 1 900 900 1,000 0 If initial the two companies decide to collude and split the market in half , then Netflix decides to cheat and overproduce by 100 unitsWhat is the new profit for Flixbuster ?

Answers

The total revenue between the two companies is $3,200

To find the Nash Equilibrium, we need to look for a situation where neither firm has an incentive to change their strategy. This occurs when both firms are charging a price of $8 per month and each has 200 customers, resulting in total revenue of $3,200.

At this price and quantity, neither firm can increase their revenue by changing their strategy. If Netflix were to increase its price above $8, some of its customers would switch to Flixbuster, and Netflix's revenue would decrease. Similarly, if Flixbuster were to decrease its price below $8, it would gain customers from Netflix, but its revenue would still decrease.

Therefore, the Nash Equilibrium in this scenario is a price of $8 and 200 customers for each firm, resulting in total revenue of $3,200 between the two companies.

In mathematical terms, the Nash Equilibrium is a solution to the following system of equations:

Qn = 300 - P

Qf = 300 - P

TRn = P(Qn)

TRf = P(Qf)

where Qn and Qf are the quantities demanded by Netflix and Flixbuster, respectively, P is the price, and TRn and TRf are the total revenues earned by Netflix and Flixbuster, respectively. Solving this system of equations, we get P = 8 and Qn = Qf = 200, which results in total revenue of $3,200.

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Complete Question:

The following table shows a small community's demand for monthly subscriptions to a streaming movie service. Assume that only two firms (Nextflix and Flixbuster) sell in this market, that each firm offers the same quality of service and movie selection, and that each firm's marginal cost is constant and equal to 0 (zero) due to excess capacity.

Price/Month    Number of Total (P) Customers (Q)        Revenue/Month(TR)

$10                                                     0                                                         $0

9                                                      100                                                     900

8                                                      200                                                1,600

7                                                      300                                               2,100

If the two companies are behaving in each best interest, and the market is able to reach a Nash Equilibrium. What is the total revenue between the two companies?

What is the measure of

 What is the measure of

Answers

The measure of angle x from the given figure is 23°.

From the given figure, we can see one line is perpendicular to other.

A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square between two perpendicular lines as shown in the figure.

Here, 67°+x=90°

x=90°-67°

x=23°

Therefore, the measure of angle x from the given figure is 23°.

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The data in the table was produced by a researcher studying the
number of vegetables people ate for one week. Group A and Group B,
each with 20 people, recorded the vegetables that they ate. If a person
is chosen at random from those who ate at least 7 vegetables, what is
the probability that the person belonged to Group A?

Answers

The probability that the person belonged to Group A is given as follows:

Probability = number of people in Group A that ate at least 7 vegetables / total number of people that ate at least 7 vegetables.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The outcomes for this problem are given as follows:

Desired: People that ate at least 7 vegetables and belong to group A.Total: People that ate at least 7 vegetables.

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a tree was 59 inches tall. two years later it was 89 inches tall. what was the percent increase, to the nearest hundredth, of the height of the tree? enter the answer in the box.

Answers

Answer:

50.85% increase

Step-by-step explanation:

The formula for % change is (new-old)/old.

So (89-59)/59 = 30/59 = 0.5084745763 = 50.85% increase


\(1 \div 3 \times \pi {r}^{2} 2r = \pi {r}^{2} h \times 1 \div 2\)
make r subject.​

Answers

The equation \(1/3\pi r^2 2r = \pi r^2h * 1/2\),  we can express r as (3/4)rh, which solves for the value of r in terms of h.

To solve for r in the equation \(1/3\pi r^2 2r = \pi r^2h * 1/2\), we can start by simplifying the equation:

\(1/3\pi r^2 * 2r = \pi r^2h * 1/2\)

Multiplying both sides by 3 to eliminate the fraction:

\(2\pi r^3 = 3\pi r^2h * 1/2\)

Simplifying further:

\(2\pi r^3 = 3/2\pi r^2h\)

Now, let's isolate r by dividing both sides by\(2\pi r^2h:\)

\(r = (3/2\pi r^2h) / (2\pi r^2)\)

This can be simplified by canceling out common terms:

r = (3/2rh) / 2

To simplify further, we can multiply the numerator and denominator by 2 to eliminate the fraction in the numerator:

r = (3/2rh) * (1/2)

This simplifies to:

r = 3/4rh

Therefore, the expression for r is:

r = (3/4)rh

In summary, the equation \(1/3\pi r^2 2r = \pi r^2h\) * 1/2 can be rearranged to solve for r as r = (3/4)rh.

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PLZZZ HELP ME ASAP! TAKING A TEST
Which expressions are equivalent to x+4/3 / 6/x when x ≠ 0? Select three options.

PLZZZ HELP ME ASAP! TAKING A TESTWhich expressions are equivalent to x+4/3 / 6/x when x 0? Select three

Answers

Answer:

Thx for free points. remember me? actually answer questions.

in mathematics the nth harmonic number is defined to be

Answers

The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.

Sure, I'll be glad to help you out!In mathematics, the nth harmonic number is defined as the sum of the reciprocals of the first n positive integers.

The nth harmonic number is defined to be:

$$H_n=1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{n}$$

Now,  to understand the concept in detail.

For this purpose, let's consider an example:

If we want to find the 5th harmonic number, then we use the formula as shown below:

$$H_5=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$

Simplifying the above expression we get:

$$H_5=\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$$$\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}=\frac{60}{60}+\frac{30}{60}+\frac{20}{60}+\frac{15}{60}+\frac{12}{60}$$$$

=\frac{137}{60}$$

Therefore, the 5th harmonic number is 2.2833.

Now, The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.

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West Fremont is a community consisting of 3,000 homes. A small coal-burning power plant currently supplies
electricity for the town. The capacity of the power plant is 12 megawatts (MW) and the average household consumes 8,000 kilowatt hours (kWh) of electrical energy each year. The price paid to the electric utility by West Fremont residents for this energy is $0.10 per kWh. The town leaders are considering a plan, the West Fremont Wind Project (WFWP), to generate their own electricity using 10 wind turbines that would be located on the wooded ridges surrounding the town. Each wind turbine would have a capacity of 1.2 MW and each would cost the town $3 million to purchase, finance, and operate for 25 years.
(a) Assuming that the existing power plant can operate at full capacity for 8,000 hours/yr, how many kWh of electrical energy can be produced by the plant in a year?

Answers

The existing power plant in West Fremont can produce 96,000,000 kWh of electrical energy in a year.

The existing power plant in West Fremont has a capacity of 12 megawatts (MW) and can operate at full capacity for 8,000 hours/yr.

This means that the plant can produce 12 MW x 8,000 hours = 96,000 megawatt hours (MWh) of electrical energy in a year.

This energy can be further converted to 96,000 MWh/1,000 kWh/MWh = 96,000,000 kilowatt hours (kWh) of electrical energy in a year.

Therefore, the existing power plant in West Fremont can produce 96,000,000 kWh of electrical energy in a year.

The town currently pays $0.10 per kWh of energy, which means it would cost $9,600,000 to purchase this energy from the electric utility.

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6. Anthony deposits $800 into a savings account that carns 3.5% interest annually
3) Write an equation for Act), to represent the amount in Anthony's savings account
after 1 years (assume that he makes no withdrawals or deposits).
b) Use your equation to determine how much he will have in his account in 10 years

Answers

after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828

after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²

so

after 10 years he will get : 800 x 1,035¹⁰

15. While on vacation in Australia, Brent and Giselle decide to explore the Great Barrier Reef. Brent decides
to go snorkeling near the surface at a depth of 5 feet below sea level. Giselle is an experienced scuba
diver and decides to explore a little deeper at 80 feet below sea level. Represent these situations as
signed numbers.

Answers

The depth of diving expressed as signed numbers indicates the magnitude

and direction of Brent and Giselle's displacement in the water.

The situation expressed as signed number is; -5, -80

Reasons:

The depth Brent decides to go snorkeling = 5 feet below sea level

The depth to which Giselle decides to explore = 80 feet below sea level

Required:

To represent the situation as signed numbers.

Solution:

Taking the sea level as 0, we have;

The depth to which Brent goes = 0 feet - 5 feet = -5 feet

Depth at which Giselle explores = 0 feet - 80 feet = -80 feet

Expressed on the number line, we have;

-∞∣     -80∣                    -5∣                0∣                 5∣          

\({}\)              

Therefore;

The situation expressed as signed numbers is; -5, -80

From a similar question posted online, the possible question options are;

5, 805, -80-5, -80-5, 80

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¿que número multiplicado por -53 da como resultado 5883?​

Answers

Answer: 76.701 x 76.701 ≈ 5883

Step-by-step explanation: Estoy seguro de que eso es todo

the sale tax rate on groceries in a certain state is 9% if the price of a grocery item before sales tax is g dollars, which expression represents the cost of the grocery item including sales tax?

Answers

Step-by-step explanation:

g + 0.09g = the final price

multiplying 0.09(9/100) with g will give you the tax

then you add it up to get the final cost.

The expression representing the cost of the grocery item including sales tax is 1.09g.

What is Percentage?

Percentage is a dimensionless number and it has no measurement units.

It is usually denoted by the sign %. Sometimes it has also used in the abbreviated form 'pct.'.

Percentage of a number is the quotient of the number dividing with the whole and then multiply with 100. The reverse calculation can be done to find the number corresponding to a percentage.

Price of a grocery item before sales tax = g dollars

Sales tax rate on groceries = 9%

Amount of sales tax = 9% × g

                                 = (9/100) × g

                                 = 0.09 g

Total cost of the grocery = g + 0.09g

                                         = 1.09g

Hence the total cost of the grocery item including sales tax is 1.09g.

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HELP MEEEE PLEASEEEEE

HELP MEEEE PLEASEEEEE

Answers

Answer:

a= -4 b= -1 c=4

Answer:

A = - 4 , B = - 1 , C = 4

Step-by-step explanation:

to find the values of A , B and C substitute the values of x above them in the table into the equation

x = - 3

y = (- 3)² + 4(- 3) - 1 = 9 - 12 - 1 = 9 - 13 = - 4 ⇒ A = - 4

x = 0

y = 0² + 4(0) - 1 = 0 + 0 - 1 = - 1 ⇒ B = - 1

x = 1

y = 1² + 4(1) - 1 = 1 + 4 - 1 = 5 - 1 = 4 ⇒ C = 4

A triangle has a base of 18.1 kilometres and a height of 17.4 kilometres. What is the area?

Answers

Answer:

157.47km²

Step-by-step explanation:

Given the following

base of 18.1 kilometres

height of 17.4 kilometres

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 18.1 * 17.4

Area of the triangle = 314.94/2

Area of the triangle = 157.47km²

Hence the area of the triangle is 157.47km²

A bicycle has it listed price of $852.98 before tax if the sales tax rate is 6.75% find the total cost of the bicycle sales tax included

Answers

The answer would be $910.56

when choosing between one-tailed and two-tailed tests, group of answer choices use a two-tailed test only if you have a convincing reason for not predicting a direction. use the one that is most likely to produce significant results. use a one-tailed test only if you have a convincing reason for predicting the direction. always use two-tailed tests.

Answers

The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.

The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.

If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.

This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.

And is more conservative in its estimation of significance.

If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.

This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.

And is more powerful in detecting significant results in that specific direction.

Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

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Which equation exemplifies the Associative Property of Multiplication?
O8x0=0x8
O 1+(7+8)= (1+7)+8
O3x6=2x9
O 3(2x4) = (3x2)4

Answers

3(2x4)=(3x2)4

I hope this helps.

Answer:

3(2×4)=(3×4)2

%%%%%%%%

Determine the equation of the quadratic with zeros x = 1 and x = 5 passing through the
point (3,-12).

Please help

Answers

Answer:

\(y=3x^{2} -18x+15\) is the equation the quadratic as per the given conditions.

Step-by-step explanation:

Let the equation of the quadratic be:

\(y=ax^{2} +bx+c\)

Given that it has zeroes at x = 1 and x = 5 i.e. y = 0 at both the values of x.

Also passes through point (3, -12). i.e. when x = 3, y = -12

Putting x = 1, y = 0:

\(\Rightarrow a\times 1^{2} +b\times 1+c=0\\\Rightarrow a+b+c=0 ....... (1)\)

Putting x = 5, y = 0:

\(\Rightarrow a\times 5^{2} +b\times 5+c=0\\\Rightarrow 25a+5b+c=0 ....... (2)\)

Putting x = 3, y = -12:

\(\Rightarrow a\times 3^{2} +b\times 3+c=-12\\\Rightarrow 9a+3b+c=-12 ....... (3)\)

Equation (2) - Equation (1):

\(24a+4b=0\\\Rightarrow 6a +b=0 ...... (4)\)

Equation (2) - Equation (3):

\(16a+2b=12\\\Rightarrow 8a +b=6 ...... (5)\)

Equation (5) - Equation (4):

\(2a=6\\\Rightarrow a =3\)

Putting value of a in equation (4):

\(6\times 3+b=0\\\Rightarrow b = -18\)

Putting a and b in equation (1):

\(3-18+c=0\\\Rightarrow c= 15\)

So, the quadratic equation is:

\(y=3x^{2} -18x+15\)

Bro please I need help with this

Bro please I need help with this

Answers

Answer:

1000 cm^3

Step-by-step explanation:

20 x 5 x 10 =

100 x 10 =

1000

Answer:

The volume is 1000 cm^3

Step-by-step explanation:

first off the formula is V=L*W*H

so in order to solve you need to plug in the numbers

L=10

W=20

H=5

Now you plug it in

V=(10)(20)(5)

V=1000

If you flip a coin 8 times, what is the best prediction possible for the number of times it will land on tails?

Answers

Each coin flip has a 1/2 chance of landing on heads or tails. For each two coin flips, there is a 1/4 chance that both coins will land on tails (1/2 * 1/2). If we add up the 1/4 probability from doing this test 8 times, we get that the number of times that both coins would land tails up is 2 out of the 8 times.

Someone help plssssss

Someone help plssssss

Answers

Answer:

\( \boxed{ \tt{j} = \boxed{\tt 13.5}}\)

Step-by-step explanation:

Given equation:

\( \sf \cfrac{j}{ \tt3} = \tt 4.5\)

To find:

Value of x

Solution:

\( \implies\sf \cfrac{j}{ \tt3} = \tt 4.5\)

Multiply both sides by 3:

\(\sf \implies \cfrac{j}{3} \times 3 = 4.5 \times3\)

Use cancellation method to cancel LHS :

\( \sf \implies \cfrac{j}{ \cancel3 \: {}^{1} } \times \cancel3 \: {}^{1} = 4.5 \times 3 \: \: \)

\(\sf \implies{j} \times 1 = 4.5 \times 3\)

\(\sf \implies{j} = 4.5 \times 3\)

Now Multiply the RHS(4.5 and 3):

\( \sf \implies{j} = \boxed{13.5}\)

We're done!

Hence , the value of j would be 13.5 .

\( \rule{225pt}{2pt}\)

I hope this helps!

Let me know if you have any questions.

What percent said red, blue, or yellow?

Answers

Answer:

1 a = 70%

b 6.5 times

c  green = 16%

2.  ?????  Very poorly worded question

2. a 54%

b. 46%

c. 70%

d.  27%

Step-by-step explanation:

1. Students in a class were asked to tell their favorite color.

a. What percent said red, blue, or yellow? __% said red, blue, or yellow.  

red is .26

blue is .40

yellow is .04

---------------------

               .70   = 70 %

b. How many times more students said red than yellow?

red  .26

yellow is .04

.26/.04 =  6.5 times

c. What percent of students said green? __% said green.

The circle must total 100 %

Red + blue + yellow + purple + green = 100

26+     40 +     4           + 14     +  green = 100

84 + green = 100

Subtract 84 from each side

84-84 + green = 100-84

green = 16

2. Which two methods could be used to find the percent of students who said green?

We can either convert the percents to decimals or the decimals to percents

The total percents must equal 100%

The total decimal must equal 1

a. Find the sum of the percents given in the circle graph.

If they only want the ones written on the graph as percents

(14+40) = 54%

b. Find the sum of the percent forms of the numbers given in the circle graph. Subtract the result from 100%.

100 - 54% = 46%

c. Find the sum of the decimal forms of the numbers given in the circle graph. Subtract that sum from 1. Change the result to a percent.

.26+.04 = .3

1-.3 = .7

70%

d. Find the sum of half of the percents given in the circle graph. Subtract that total from 50%.

1/2 (46%) = 23%

50 -23 = 27%

if it is accepted that an observed association is a causal one, an estimate of the impact that a successful preventive program might have can be derived from:

Answers

The estimate of the impact that a successful preventive program might have can be derived from

attributable risk.

What is an attributable risk?

In epidemiology, attributable risk or excess risk is a phrase equivalent with risk difference, which has also been used to express the attributable proportion among the exposed and the population.

Attributed risk assists in determining how much of an outcome is attributable to a certain risk factor (i.e., an estimate of the excess risk) in a population exposed to that factor.

The rate (percentage) of a health result (illness or death) in exposed persons that can be linked to the exposure is known as the attributable risk (AR). Attribitable risk measures how much more common a result is in absolute terms among the exposed than the non-exposed.

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A plumber requires pipes of lengths 2.48m and 3.88m. Which single length of pipe can be cut to obtain both the pipe lengths?

Answers

Answer:

The pipe thread size is measured and based on the inside of the pipe. But, to actually determine the size of a pipe, the outside diameter of each pipe or fitting must be measured and compared to the table for size identification.

Step-by-step explanation:

Rafi has $6,629 in an account that earns 10% interest compounded annually.
To the nearest cent, how much interest will he earn in 4 years?

Answers

The amount of interest would be $3076.51 in the account after 4 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Given that Rafi has $6,629 in an account that earns 10% interest compounded annually.

p = $6,629

r = 10%

t = 4 years

A = P(1+r/100)ⁿ

Substitute the values of p,r, and t in the formula,

A = 6,629 (1 + 10/100)⁴

A = 6,629 (1 + 0.10)⁴

A = 6,629 (1.1)⁴

A ≈ 9705.51

Now, C.I. = A - P

So C.I. = 9705.51 - 6,629 = $3076.51

Therefore, the amount of interest would be $3076.51 in the account after 4 years.

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Mr. Miller is teaching his students about the volume of rectangular prisms. He writes the formula volume = length × width × height on the board and tells his students to get to work. He notices two of his students arguing over which leg represents length and which represents width. What should he do?
Select all answers that apply.

Answers

Mr. Miller should clarify the difference between length and width and how they relate to the dimensions of a rectangular prism. He could use visual aids or examples to help his students understand the concept better.

Mr. Miller should:

1. Explain to his students that the terms length, width, and height in the formula for the volume of rectangular prisms can represent any of the three dimensions, as long as they are consistent throughout the calculation.
2. Remind his students that the volume of a rectangular prism can be calculated by multiplying its three dimensions (length, width, and height) together, regardless of the order.
3. Encourage his students to focus on understanding the concept of volume and how it relates to the dimensions of rectangular prisms, rather than getting caught up in the specific labels of the dimensions.

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Suppose that I have a sample of 25 women and they spend an average of $100 a week dining out, with a standard deviation of $20. The standard error of the mean for this sample is $4. Create a 95% confidence interval for the mean and wrap words around your results.

Answers

We can say with 95% confidence that the true mean amount that women in the population spend dining out per week lies within the range of $91.74 to $108.26.

Based on the given information, we can calculate a 95% confidence interval for the mean amount that women in the population spend dining out per week. With a sample size of 25 and a standard error of $4, we can use the formula:

95% CI = sample mean +/- (critical value x standard error)

To find the critical value, we need to look up the t-distribution with degrees of freedom (df) = n-1 = 24 and a significance level of alpha = 0.05/2 = 0.025 (since we are interested in a two-tailed test). From a t-table or calculator, we find that the critical t-value is approximately 2.064.

Plugging in the values, we get:

95% CI = $100 +/- (2.064 x $4)
95% CI = $100 +/- $8.26
95% CI = ($91.74, $108.26)

Therefore, we can say with 95% confidence that the true mean amount that women in the population spend dining out per week lies within the range of $91.74 to $108.26. This means that if we were to repeatedly take random samples of 25 women and calculate their mean amount spent dining out, about 95% of the intervals we construct using this method would contain the true population mean.

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WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY

WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY

Answers

Answer:

A) 13.4 feet

Step-by-step explanation:

You need to use the Pythagorean theorem:

L = \(\sqrt{6^2+12^2}\) = 13,4 feet

It’s is 13.4 here is the steps to show
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A figure of a rectangular pyramid is shown. A rectangular pyramid with a base of dimensions 4 meters by 4 meters. The triangular faces have a height of 7 meters. Which of the following is the surface area of the pyramid? 36 m2 72 m2 88 m2 144 m2

Answers

The surface area of the pyramid is 72 m².

What is a pyramid?

A pyramid is a three-dimensional geometric shape that consists of a base polygon and a point called the apex. The base can be any polygon, such as a triangle, square, rectangle, or polygon with many sides, and the apex is directly above the center of the base. The height of the pyramid is the perpendicular distance from the apex to the base.

The rectangular pyramid has a rectangular base with dimensions 4 meters by 4 meters, and four triangular faces with a height of 7 meters. The area of the rectangular base is 4 * 4 = 16 square meters. Each of the triangular faces has a base of 4 meters and a height of 7 meters, so each face has an area of 1/2 * 4 * 7 = 14 square meters. Therefore, the total surface area of the pyramid is the sum of the area of the base and the four triangular faces, which is 16 + 4 * 14 = 72 square meters.

So the surface area of the pyramid is 72 m².

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Caroline wants to buy 100 g of spice mix from a British or French website.

The conversion rate is €1 = £0.85

What is the price, including delivery costs, that Caroline would pay for the spice mix from the cheaper website? Give your answer in pounds (£).

British website: £0.90 for 25 g Free delivery.
French website: €1.20 for 50 g €0.80 delivery per order.​

Answers

The website which is cheaper for Caroline to buy the spice mix is French website.

Given data ,

Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.

British website:

Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60

Since the British website offers free delivery, the total cost remains £3.60.

French website:

Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40

Delivery cost = €0.80

On simplifying the equation , we get

To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.

Price in pounds = €2.40 * £0.85 = £2.04

Delivery cost in pounds = €0.80 * £0.85 = £0.68

Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72

Comparing the total costs:

British website: £3.60

French website: £2.72

Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.

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