Ramina found the length of two pieces of ribbon to be 47.6 inches and 39.75 inches. Which is an effective estimation strategy for finding the sum of the two lengths? Round 39.75 to 30 and 47.6 to 40, then add. Round 39.75 to 40 and 47.6 to 48, then add. Add 47.6 and 39.75, then round the answer. Subtract 39.75 from 47.6, then round the answer.

Answer:

no if thats and option

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

For the given linear equation:

We know that Sarah buys one pair of sneakers and several pairs of laces.

We know that the amount that she spends is:

$35 + $3*l

The first term, the constant one, represents the cost of the pair of sneakers.

The linear term:

$3*l

Represents the cost of buying l pairs of laces, assuming that each pair costs $3.

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The value of the line segment jl is found as the 27 units.

For the given question.

jk = 8x + 11

kl = 14x - 1

K is the mid point of the line segment JL.

Thus,

jk = kl

Put the values-

8x + 11  = 14x - 1

14x - 8x = 11 + 1

6x = 12

x = 2

Thus, jl = 8x + 11

jl = 8(2) + 11

jl = 27

Thus, the value of the line segment jl is found as the 27 units.

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The drawer contains 11 identical red socks and 8 identical black socks. Here are the answers to the questions below

a. What is the probability that you get a pair of red socks?The probability of getting a pair of red socks is the probability of selecting two red socks, which is: P(Red and Red) = P(Red) × P(Red | Red was first) = (11/19) × (10/18) = 55/171.

b. What is the probability that you get a pair of black socks?The probability of getting a pair of black socks is the probability of selecting two black socks, which is: P(Black and Black) = P(Black) × P(Black | Black was first) = (8/19) × (7/18) = 28/171.

c. What is the probability that you get 2 unmatched socks?The probability of getting two unmatched socks is the sum of the probability of selecting a red sock first and a black sock second and the probability of selecting a black sock first and a red sock second: P(Red and Black or Black and Red) = P(Red) × P(Black | Red was first) + P(Black) × P(Red | Black was first) = (11/19) × (8/18) + (8/19) × (11/18) = 88/171.

d. Where did the other red sock go? It's not clear from the information given. It could be missing or misplaced, or it could be in the drawer, but the problem doesn't provide enough information to determine what happened to it.

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The value of CPI will be 178.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Now,

Since, In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Hence, The value of CPI will be;

CPI = 118.10 × 100 / 66.35

      = 11810 / 66.35

       = 178

Thus, The value of CPI will be 178.

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The maximum capacity of the pool area is 78 + 47 = 125 people.

An expression is a mathematical phrase that can contain numbers, variables, operators, and functions. It does not have an equal sign, and its value can vary depending on the values assigned to the variables. Expressions can be simple, like 2x + 3, or more complex, like (4x - 1)/(2y + 5). Expressions are used in algebra, calculus, and other areas of mathematics to represent relationships and make calculations.

Let's use c to represent the maximum capacity of the pool area.

We know that Darnel has already let in 78 people, and he can only let in 47 more people before reaching the maximum capacity. This can be represented as the inequality:

78 + x ≤ c

where x is the number of additional people that Darnel can let in before reaching the maximum capacity.

To solve for c, we can isolate it on one side of the inequality by subtracting x from both sides:

78 + x - x ≤ c - x

Simplifying, we get:

78 ≤ c - x

Finally, to find the maximum capacity c, we need to add x to both sides:

78 + x ≤ c

So the maximum capacity of the pool area is 78 + 47 = 125 people.

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Answer:

don't know sorry byeeeee

Answer:

A

Step-by-step explanation:

the other options have a common difference

Answer:

A is not arithmetic series

Step-by-step explanation:

In B,C and D there is arithmetic series as a2-a1=a3-a2

In A. there is no such series.....

Answer:

The twins are 21 years old right now.

(x+4) + (x+4) = 50

Step-by-step explanation:

Let x = the current age of one of the twins.

They are twins, that means they are the same age. So the other twin is also x years old.

In four years, the age will be x+4.

Both of them together will be:

(x+4) + (x+4)

The question says that total (of their ages in 4 years) will be 50.

(x+4) + (x+4) = 50

Combine like terms.

2x + 8 = 50

Subtract 8.

2x = 42

Divide by 2.

x = 21

The twins are currently 21.

To check: in four years they will be 25; then the sum of their ages will be 50. Check! Hope this helps!

Answer:

  M(-4, -1)

Step-by-step explanation:

M = (A +B)/2

M = ((-7, 2) +(-1, -4))/2 = (-8, -2)/2 = (-4, -1)

The location of M is (-4, -1).

The term that describes the square root of 2 is irrational

The number is given as:

\(Number = \sqrt{2}\) --- i.e. the square root of 2

Evaluate the above square root

\(Number = 1.4142...\)

The above number cannot be represented as the quotient of two integers.

This means that the number is irrational.

Hence, the term that describes the square root of 2 is irrational

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The factor of the given polynomial n² + 26n + 88 is (n + 4) and (n + 22). Then the correct option is B.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given below.

n² + 26n + 88

Then the factor of the given polynomial will be

n² + 22n + 4n + 88

n(n + 22) 4(n + 22)

(n + 4)(n + 22)

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Answer:

=28

Step-by-step explanation:

10+(9−3)(3)

=10+(6)(3)

=10+18

=28

The average rate of change over the interval x = 3 and x = 7 is 30

The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation

The equation is given as

g(x) = 2ˣ - 1

The interval is given as:

x = 3 and x = 7

Start by calculating g(3) and g(7)

So, we have

g(3) = 2³ - 1 = 7

g(7) = 2⁷ - 1 = 127

So, the average rate over these intervals is calculated as:

Average rate = [g(b) - g(a)]/[b - a]

This gives

Average rate = [g(7) - g(3)]/[7 - 3]

Substitute known values

Average rate = [127 - 7]/[7 - 3]

Simplify

Average rate = 120/4

Average rate = 30

Hence, the average rate of change is 30

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The value of x such that  the angles LFDE and LFDB are supplementary is:

17º

If LFDE and LFDB are supplementary, then their sum is 180°. Therefore, we can write an equation using this information:

m∡FDE + m∡LFDB = 180°

Substituting the given expressions for m∡FDE and m∡LFDB, we get:

(3x - 15)° + (5x + 59)° = 180°

Combining like terms and simplifying, we get:

8x + 44 = 180

Subtracting 44 from both sides of the equation, we get:

8x = 136

Dividing both sides of the equation by 8, we get:

x = 17

Therefore, the value of x that makes LFDE and LFDB supplementary is 17.

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The amount that the sales tax add to the purchase price is $5992.

Using this formula

Sales price=Purchase price-(Purchase price×Sales tax)

Where:

Purchase price=$5600

Sales tax=7%

Let plug in the formula

Sales price=$5600+($5600×7%)

Sales price=$5600+$392

Sales price=$5992

Inconclusion the amount that the sales tax add to the purchase price is $5992.

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Hey there!

AB/CD

= 5(-2) / 4(-6)

= -10 / -24

= 5/12

Answer: -10/-24 or 5/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

========================================================

Explanation:

i = P*r*t ... simple interest formula

i = (1,500,000)*(0.03)*(15)

i = 675,000

The amount of interest you need to pay is $675,000

The total amount to pay back is 1,500,000+675,000 = 2,175,000 dollars.

Divide this over 180 months (since 15 years = 15*12 = 180 months) to get

(2,175,000)/180 = 12,083.3333333333

This rounds up to the nearest cent to get 12,083.34

I rounded up to make sure to clear the hurdle. Note how

180*(12,083.33) = 2,174,999.4

which is a bit short of the 2,175,000 mark we're after

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Answer:

t=0.95m+2.5

Step-by-step explanation:

Answer:

tm+3.45=?

Step-by-step explanation:

I think

hope this helps

By substituting the first equation into the second, we get:

2x + 5*(2x +3) = 3

The correct option is the second one.

Here we have the system of equations:

y = 2x + 3

2x + 5y = 3

You can see that the variable "y" is already isolated in the first equation, so we can just substitute it in the second equation:

2x + 5*(2x +3) = 3

This is what we can see in the second option, so we conclude that the second option is the correct one.

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The Central Limit Theorem gives the idea that a large number of sample means or proportions will approximate a normal distribution, regardless of the distribution of the population from which they were drawn .

Central Limit Theorem : In probability theory , the Central Limit Theorem establishes that , in many situations , when independent random variables are summed up , their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed .

The Central Limit Theorem gives the idea that a large number of sample means or proportions will approximate a normal distribution, regardless of the distribution of the population from which they were drawn .

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(A) Let's find first the derivative of the function f(x), as follows:

To find the slope of the line tangent to f(x), we just input x = 5 on the f'(x) to solve f'(5), which is:

Hence, the slope of the tangent line is m = -20.

(B) The instantaneous rate of change is also the slope of the tangent line of the given function f(x). This means that it has the same value as part (A), which is f'(5) = -20.

(C) For the equation of the tangent line, let's look first at the tangent point. We can get this by substituting x = 5 on the equation f(x) and calculate:

Our tangent point is (5, -48). We then use the slope-intercept equation y = mx + b to generate the equation of the tangent line.

We already solved m which is equal to -20. The values of x and y are equal to the tangent point. What's left is to compute the value of b. We substitute the values of m, x, and y on y = mx + b to solve b, as follows:

Hence, the equation of the tangent line can now be written as:

Answers:

(A) m = -20

(B) f(5) = -20

(C) y = -20x + 58

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

The coefficient of determination for a linear regression model fitting with bivariate dataset ( scatterpot present in above figure) is equals to the 90.097.

When we study about linear regressions, usually analyze two coefficients that help us to know about the quality of the regression model and strength of linear relationship between the variables. One is called the coefficient of determination, denoted by R². Consequently, by observing a scatter plot, we can estimate the value of these coefficients. We have a scatterpot for a linear model fitting of the bivariate dataset is present in above figure. Coefficient of determination is always positive. When data are very closely arranged along a approximate line, then coefficient of determination is more near to 1 (In percentage it is 100). Here points are almost closely arranged . So percentage should be near to 100. So possible answer is 90.097. Hence, the answer is 90.097.

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Complete question :

The above figure complete the question.

What is the coefficient of determination for a linear model fitting the following bivariate dataset?

(1) The Lieutenant commander data should order 20 chips,

(2) The most number of chips that he will ever have to order is 20 chips.

To determine the number of chips Lieutenant Commander Data should order and maximum amount he will ever have to order, we use inventory control formula for a continuous review system with normal distribution demand:

Part (1) : To calculate the number of chips he should order, we find safety stock, which is buffer-stock kept to meet unexpected demand. The safety stock can be determined using formula,

Safety stock = Z × σ × √L,

Where : Z = Z-score representing desired service probability (in this case, 98% corresponds to a Z-score of approximately 2.33)

σ = Standard-deviation of daily demand (given as 3 chips per day)

L = Lead time (in this case, 2 days)

Safety stock = 2.33 × 3 × √2 ≈ 9.84

To calculate "order-quantity", we consider expected demand during  lead time and the safety stock:

Expected demand during lead time = (Average daily demand × Lead time) + Safety stock,

Expected demand during lead time = (5 × 2) + 9.84 ≈ 19.84

So, Commander Data should order 20 chips,

Part (2) : The maximum amount he will ever have to order is determined by sum of safety-stock and maximum expected demand during lead time:

Maximum order quantity = Safety stock + (Average daily demand × Lead time)

Maximum order quantity = 9.84 + (5 × 2) = 9.84 + 10 = 19.84

Therefore, the maximum amount he will ever have to order is 20 chips.

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