The Beer Institute reported that monthly consumption of beer in is 1.7 gallons per person. A random sample of 36 adults was selected. Using a population standard deviation of 0.5 gallons per month per person, what is the probability that the sample mean was between 1.6 and 1.8 gallons per month per person?

The fraction left when Luna has a wood that's 7/8 foot long and she cuts the 3/4 of the stake is 1/8.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

From the information, Luna has a wood that's 7/8 foot long and she cuts the 3/4 of the stake.

The fraction left will be:

= 7/8 - 3/4

= 7/8 - 6/8

= 1/8

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Complete question

Luna has a wood that's 7/8 foot long and she cuts the 3/4 of the stake. What fraction is left?

The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.

At Mega Mart, a 5kg cake costs $2500.

Therefore, the price per kilogram for this cake is:

Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.

At the same time, a 2kg chocolate cake costs $1200.

So, the price per kilogram for this cake is:

Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.

Now, let's calculate the total price for 10kg of cake from each option:

Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.

Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.

Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.

Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.

Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.

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Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Option A : The step needed to finish the equivalent expression is to use the addition property to simplify the terms inside the parentheses by combining like terms.

The step needed to finish the equivalent expression is to simplify the terms inside the parentheses using the addition property of addition and subtraction.

The given expression is:

5m - m + 7 - m - 4

We start by adding the two positive m terms and subtracting the negative m term. This gives us:

5m - m - m + 7 - 4

Simplifying the expression within the parentheses, we get:

5m - 2m + 7 - 4

Now we can combine the two like terms 5m and -2m by adding them together to get 3m:

3m + 7 - 4

Finally, we can simplify the expression further by adding 7 and -4 to get 3:

3m + 3

So the equivalent expression is:

5m - m + 7 - m - 4 = 3m + 3

Therefore, we combined the like terms by using the addition property of addition and subtraction. The final equivalent expression is 3m + 3.

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Which step is needed to finish the equivalent expression?

5m-m+7-m-4=

5m-m-m+7-4=

(5-1-1) m+ 3 =

A. Use the addition property to simplify the terms inside the parentheses.

B. Use the associative property to simplify the terms in the parentheses.

C. Use the commutative property to simplify the terms in the parentheses.

D. Use the distributive property to simplify the terms in the parentheses.

9514 1404 393

Answer:

   4.9% weekly

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the account balance that results from investing P at rate r compounded n times per year for t years.

Filling in the values for the two scenarios, we find ...

  A = 10,000(1 +0.04/365)^(365·3) ≈ 11,274.89

  A = 10,000(1 +0.049/52)^(52·3) = 11,582.74

The higher interest rate will earn Mr. Larson the most money in three years. (4.9% weekly)

\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

Answer: 10 down for across

Create a square that is shaded in the bigger square.

Step-by-step explanation: 0.01*40= 0.4

0.4* 100 = 40%

Answer:

answer:10 down for across but also  joe is lame and bad for playing fortnite

Step-by-step explanation:

joe is fat and lame, because he plays fortnite

maybe joe can redeem himself if he beats the ender dragon.

Answer:

+4.5B+0.5B-1.5B+0.5‐0.5+0.5

The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Answer:

The increase is $18.

(In case you are asked about the percent increase,

percent increase = 20%)

Step-by-step explanation:

To find an increase, subtract.

$108 - $90 = $18

The increase is $18.

Answer: The increase is $18.

If you are asked about the percent increase, then use this formula:

percent change = (new number - old number)/(old number) × 100%

Here, the new number is $108. The old number is $90.

percent change = ($108 - $90)/($90) × 100%

percent change = $18/$90 × 100%

percent change = 0.2 × 100%

percent change = 20%

Since the percent change is a positive number, it is a percent increase.

Answer: percent increase = 20%

Answer:

15 protons, 15 neutrons and 18 electrons (3rd one) is the answer

Step-by-step explanation:

Answer:

E, and A

Step-by-step explanation:

If you divide 14/6 with 2's you get 7/3 and if you multiply 14/6 with 9 you get 126/54

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Answer:

2/15

Step-by-step explanation:

A percent is a number given out of 100

13 1/3% basically is 13 1/3 | 100

You divide and you get 40/3 x 1/100

Simplify by 20 = 40/300 simplify again and you get 2/15.

Answer:

14.5a + 9.5s = 5,860

a + s = 500

Step-by-step explanation:

A system of linear equations which can be used to find the number of adult tickets sold (a) and the number of student tickets sold (s) is:

\(a+s=500\)

\(14.50a + 9.50s = 5860\)

Given the following data:

To write a system of linear equations which can be used to find the number of adult tickets sold (a) and the number of student tickets sold (s):

Translating the word problem into an algebraic expression, we have;

The high school band sold 500 tickets:

\(a+s=500\)

The price of both the adult and student tickets sold:

\(14.50a + 9.50s = 5860\)

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Answer:

C

Step-by-step explanation:

Firstly, we set up the null and alternative hypothesis as follows;

The null hypothesis is;

H0: μ ≥ 12

The alternative hypothesis is;

Ha : μ < 12

Next step is to calculate the test statistic z

Mathematically;

z = (x - μ )/ σ /√n

= (11.58 - 12) /1.93/√(80

Test statistic z = -1.92

Now we proceed to find the probability value that is equal to the value of the test statistic. We can find this by using the standard normal table or NORMSTD function on excel

P(z < -1.92) = 0.0274

P-value = 0.0274

alpha = 0.05

From the above, we can see that

P-value < alpha

And because of this, we are going to reject the null hypothesis and therefore accept the alternative.

We then conclude that there is sufficient evidence to conclude that "The average battery life (between charges) of this model of tablet is at least 12 hours."

Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

The value of Tan B rounded to the nearest hundredth is 0.01.

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.


Tan B is a trigonometric ratio that is determined by the ratio of the side opposite an angle to the side adjacent to the angle. To find the value of Tan B, you need to know the angle measure (B) and the lengths of the two sides. For example, if the angle B is 45 degrees and the adjacent side is 8 cm and the opposite side is 8 cm, then Tan B = 8/8 = 1.

To round the value of Tan B to the nearest hundredth, we will use the rounding rule of "5 up". This means that any value that is greater than or equal to five will be rounded up, and any value that is less than five will be rounded down. In this case, Tan B is equal to 1 and is less than five, so it should be rounded down to 0.01. Therefore, the value of Tan B rounded to the nearest hundredth is 0.01.

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Answer: 238

Step-by-step explanation: 15% of 280 is 42 so subtract 42 from the number and it equals 238

3,2

because each input only has one output and 2 has 0 and 3 so it is not a function that leaves 3,2.

the domain =  [1,∞) and range = [4 , ∞) for the given equation.

What is domain and range?

The set of all doable values that qualify as inputs to a operate is understood because the domain of the operate, or it may also be outlined because the entire set of values doable for freelance variables.

The set of all the outputs of a operate is thought because the vary of the operate or when subbing the domain, the whole set of all values attainable as outcomes of the variable.

Main body:

Given equation =

y=8x-4

as x is the number of days

and,y is the weight of the plant.

so x can not be negative

hence the domain of x = [1,∞)

As x is positive , y can not be negative as well.

Hence the domain =  [1,∞) and range = [4 , ∞)

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The coefficient of variation for A is 20.37% and for B is 15.98%.

What is coefficient of variation?

In statistics, the relative standard deviation (RSD), commonly referred to as the coefficient of variation formula (CV), is a standardized way to assess how widely spaced out a probability distribution or frequency distribution is. Lower values of the coefficient of variation indicate that the data is highly stable and less variable.

We know that formula for coefficient of variation is

CV = Standard Deviation / Mean

A. $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100

Mean = 411200 / 14

Mean = $29371.42

Similarly,

Standard Deviation = $5984.52

So,

CV = 5984.52 / 29371.42 * 100

CV = 20.37%

B. 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98

Mean = 43.42 / 11

Mean = $3.94

Similarly,

Standard Deviation = $0.63

So,

CV = 0.63 / 3.94 * 100

CV = 15.98%

Hence, the coefficient of variation for A is 20.37% and for B is 15.98%.

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Step-by-step explanation:

Where's the calculator

Answer:

\(\sf \bold{\begin{pmatrix}7&-12&6\\ 3&-2&7\\ -12&-1&2\\ 7&3&-2\end{pmatrix}}\)

Explanation:

\(\Longrightarrow \ \sf Give n \ A = \sf \bold{\begin{pmatrix}2&-9&8\\ 4&2&-1\\ -5&-3&7\\ 4&8&-4\end{pmatrix}}\)

\(\Longrightarrow \ \sf Given \ B = \bold{\begin{pmatrix}-5&3&2\\ 1&4&-8\\ 7&-2&5\\ -3&5&-2\end{pmatrix}}\)

Solve:

\(\sf A - B = \begin{pmatrix}2&-9&8\\ \:4&2&-1\\ \:-5&-3&7\\ \:4&8&-4\end{pmatrix}- \begin{pmatrix}-5&3&2\\ 1&4&-8\\ 7&-2&5\\ -3&5&-2\end{pmatrix}\)

subtract the elements in matching positions

\(\sf A - B = \begin{pmatrix}2-\left(-5\right)&\left(-9\right)-3&8-2\\ 4-1&2-4&\left(-1\right)-\left(-8\right)\\ \left(-5\right)-7&\left(-3\right)-\left(-2\right)&7-5\\ 4-\left(-3\right)&8-5&\left(-4\right)-\left(-2\right)\end{pmatrix}\)

Final Outcome

\(\sf \bold{\begin{pmatrix}7&-12&6\\ 3&-2&7\\ -12&-1&2\\ 7&3&-2\end{pmatrix}}\)

Answer: \(55^{\circ}\)

Step-by-step explanation:

The measure of the third unknown arc is

\(360^{\circ}-70^{\circ}-110^{\circ}=180^{\circ}\).

So, \(x=\frac{180^{\circ}-70^{\circ}}{2}=\boxed{55^{\circ}}\)