The double number lines show the ratio of feet to miles.

Answer & Step-by-step explanation:

First, we need to know the formula for finding the distance between the two points.

\(Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Next, we plug in our coordinate points to their respectful places and solve for the distance.

\(Distance(d)=\sqrt{(3-1)^2+(11-5)^2}\)

\(Distance(d)=\sqrt{(2)^2+(6)^2}\)

\(Distance(d)=\sqrt{4+36}\)

\(Distance(d)=\sqrt{40}\)

We can simplify this radical.

So, the distance between the two points in the simplest radical form is 2√10

Answer:

\(sin\left(90\right)/x=sin\left(25\right)/16\)

x = 37.85

Step-by-step explanation:

Answer:

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

Find the profit:

Find the amount of 25% commission:

Answer:

52.63% probability that this initial repair was made by the first technician

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

\(P(B|A) = \frac{P(B)*P(A|B)}{P(A)}\)

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Error due to an incomplete repair.

Event B: Initial repair made by the first technican.

The first technician, who services 40% of the breakdowns, has 5% chance of making incomplete repair.

This means that \(P(B) = 0.4, P(A|B) = 0.05\)

Probability of an incomplete repair:

5% of 40%(first technican)

3% of 60%(second technican).

Then

\(P(A) = 0.05*0.4 + 0.03*0.6 = 0.038\)

Given that there is a problem with the production line due to an incomplete repair, what is the probability that this initial repair was made by the first technician

\(P(B|A) = \frac{0.4*0.05}{0.038} = 0.5263\)

52.63% probability that this initial repair was made by the first technician

Work Shown:

1 case = 14 reams

15*(1 case) = 15*(14 reams)

15 cases = 210 reams

Answer:

There are 210 reams of paper in 15 cases

Step-by-step explanation:

1 case = 14 reams

To find out the total of reams in 15 cases, multiple both sides by 15

15 x 1 case = 15 x 14 reams

15 cases = 210 reams

The expression to determine the perimeter of the triangle in terms of the shortest side (s) is 3s + 15.

To determine the perimeter of the triangle, we need to express the lengths of all three sides in terms of the shortest side (s).

The longest side is three more than twice the length of the shortest side. This can be expressed as 2s + 3.

The third side is twelve feet long.

Now, let's denote the lengths of the sides as follows:

Shortest side = s

Second side = 2s + 3

Third side = 12

To find the perimeter, we sum up the lengths of all three sides:

Perimeter = s + (2s + 3) + 12

Simplifying the expression:

Perimeter = s + 2s + 3 + 12

Perimeter = 3s + 15

Therefore, the expression to determine the perimeter of the triangle in terms of the shortest side (s) is 3s + 15.

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The proportion to the left of x = 19.0 is 8.08%, to the right of x=25.5 is 15.87%, between the mean and x =19.0 is 41.92%, to the left of x=25.5 is 84.13%, to the right of x =19.0 is 19.0.

What is statistics ?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical methods and techniques to extract meaningful insights and patterns from data and to make informed decisions based on the results. Statistics is widely used in various fields, including science, engineering, business, social sciences, and government, to help make predictions, test hypotheses, and inform decision-making processes.

To solve these problems, we need to use the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. We can transform our original normal distribution into a standard normal distribution using the formula:

z = (x - μ) / σ

where z is the z-score (the number of standard deviations from the mean), x is the raw score, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

To the left of x = 19.0:

First, we need to find the z-score corresponding to x = 19.0:

z = (x - μ) / σ = (19.0 - 23) / 2.5 = -1.4

We can then look up the proportion to the left of z = -1.4 in a standard normal distribution table or use a calculator to find that it is approximately 0.0808, or 8.08%.

Therefore, the proportion to the left of x = 19.0 in our original normal distribution is also approximately 0.0808, or 8.08%.

To the right of x = 25.5:

Using the same formula as above, we find the z-score corresponding to x = 25.5:

z = (x - μ) / σ = (25.5 - 23) / 2.5 = 1.0

We can then look up the proportion to the right of z = 1.0 in a standard normal distribution table or use a calculator to find that it is approximately 0.1587, or 15.87%.

Therefore, the proportion to the right of x = 25.5 in our original normal distribution is also approximately 0.1587, or 15.87%.

Between the mean and x = 19.0:

We need to find the z-scores corresponding to the mean and x = 19.0:

z_mean = (μ - μ) / σ = 0

z_19 = (19.0 - 23) / 2.5 = -1.4

The proportion between the mean and x = 19.0 is then equal to the difference between the proportion to the left of x = 19.0 and the proportion to the left of the mean:

P(mean < x < 19.0) = P(z_mean < z < z_19) = P(z < -1.4) - P(z < 0)

= 0.0808 - 0.5

= 0.4192, or 41.92%

Therefore, the proportion between the mean and x = 19.0 in our original normal distribution is approximately 0.4192, or 41.92%.

To the left of x = 25.5:

Using the same formula as in (1), we find the z-score corresponding to x = 25.5:

z = (x - μ) / σ = (25.5 - 23) / 2.5 = 1.0

We can then look up the proportion to the left of z = 1.0 in a standard normal distribution table or use a calculator to find that it is approximately 0.8413, or 84.13%.

Therefore, the proportion to the left of x = 25.5 in our original normal distribution is also approximately 0.8413, or 84.13%.

To the right of x = 19.0:

Using the same formula as in (1), we find the z-score corresponding to x = 19.0

Therefore, the proportion to the left of x = 19.0 is 8.08%, to the right of x=25.5 is 15.87%, between the mean and x =19.0 is 41.92%, to the left of x=25.5 is 84.13%, to the right of x =19.0 is 19.0.

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Answer:

1 is the like term in a series as there is nothing common

.sorry if mistake.

like terms =

2x,-6x,

5y²,-9x²,18y²

The Correl function is the easiest way to for calculating correlation between two variables.

What is correlation ?

correlation can be defined as the measure of relation between two variables.

In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.

To find correlation using data points are as follows  :

Determine your data sets.

Calculate the standardized value for your x variables.

Calculate the standardized value for your y variables.

Multiply and find the sum.

Divide the sum and determine the correlation coefficient.

Hence, The Correl function is the easiest way to for calculating correlation between two variables.

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Answer:

10i and 7i

Step-by-step explanation:

Step-by-step explanation:

(12-5i)+(-3+4i)

12-5i-3+4i

12-3-5i+4i

9-1i

Hope it helps

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

Answer:

128

Step-by-step explanation:

(2³) (140/7)-32 =128

Answer:

128

Step-by-step explanation:

[2³ ×(140 ÷ 7)] - 32

[2³ ×( 20)] - 32

[8×(20)] - 32

[160] - 32

128

Answer:

16 + (–7) + 22 + (–12)

Hope this helped!!!

Answer:

a. H0: p1=p2 versus Ha: p1>p2

Step-by-step explanation:

Given that

p1 represent the proportion of the population for young allots 20-39

And, p2 denotes the proportion of the population for all older adults that are above 60

So,

We need to find out the hypotheses

The null & alternative hypothesis is

H_o: P_1 = P_2

H_a: P_1>P_2

This shows the right tailed test

Answer:

A

Step-by-step explanation:

Answer:

To simplify this expression, we can use the distributive property of multiplication over addition/subtraction to remove the parentheses:

(4.5x − 5) − (3.5x − 10)

= 4.5x - 5 - 3.5x + 10 (distributing the negative sign to the second term in parentheses)

= (4.5x - 3.5x) + (10 - 5) (grouping like terms)

= 1x + 5

= x + 5

Therefore, (4.5x − 5) − (3.5x − 10) simplifies to x + 5.

Answer:

1x+5

Step-by-step explanation:

You are trying to simplify the equation

First distribute the "-"

-(3.5x)=-3.5x   -(-10)=10

4.5x-5-3.5x+10

Now combine like terms

4.5x-3.5x=1x   -5+10=5

1x+5

Hope this helped!

Answer : B

Explanation :

f - 3 and one third = 1 and two thirds goes with the word problem.

Answer: B

f - 3 and one third = 1 and two thirds

The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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There is not enough information to know whose Tennis ball would go further. Option D.

We know that the projectile is an object that can be able to move along a parabolic path. In this case, we have a catapult which the energy that launces forth the projectile is derived from the energy that have been stored in the spring of the catapult.

A catapult is a type of projectile weapon that uses mechanical energy to launch a projectile over a long distance as we can see in this problem.

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Answer:

the value of Jericho's house in 2019 is approximately $698,597.60.

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A is the final amount (the value of the house in 2019)

P is the initial amount (the value of the house in 2010, which is $450,000)

r is the annual interest rate (which is 5%, or 0.05, in this case)

n is the number of times the interest is compounded per year (which is 1, since the interest is compounded annually)

t is the time period (in years)

Using the formula, we can find the value of Jericho's house in 2019 as follows:

A = P(1 + r/n)^(nt)

= $450,000(1 + 0.05/1)^(1*9)

= $450,000(1.05)^9

= $450,000(1.551328)

= $698,597.60

Therefore, the value of Jericho's house in 2019 is approximately $698,597.60.

The Answer for the given functions are:

i) f(-3) = -14.

ii) g[f(0)] = -16.

iii) f[h(2)] = 13.

iv)  hᴏf(x) = 3x - 1.

v)  h-1(1) = -3.

Functiοn nοtatiοn is a way οf representing a functiοn using algebraic symbοls. It is a shοrthand way οf expressing a relatiοnship between twο quantities οr variables, where οne variable depends οn the οther.

i) Tο find f(-3), we substitute x = -3 in the expressiοn fοr f(x) and simplify:

f(-3) = 3(-3) - 5 = -9 - 5 = -14

Therefοre, f(-3) = -14.

ii) Tο find g[f(0)], we first evaluate f(0) and then substitute that value intο g(x):

f(0) = 3(0) - 5 = -5

g[f(0)] = g(-5) = 2(-5) - 6 = -10 - 6 = -16

Therefοre, g[f(0)] = -16.

iii) Tο find f[h(2)], we first evaluate h(2) and then substitute that value intο f(x):

h(2) = 2 + 4 = 6

f[h(2)] = f(6) = 3(6) - 5 = 18 - 5 = 13

Therefοre, f[h(2)] = 13.

iv) Tο find hᴏf(x), we substitute f(x) intο the expressiοn fοr h(x) and simplify:

hᴏf(x) = h[f(x)] = f(x) + 4 = (3x - 5) + 4 = 3x - 1

Therefοre, hᴏf(x) = 3x - 1.

v) Tο find h-1(1), we need tο sοlve fοr x in the equatiοn h(x) = 1:

h(x) = x + 4 = 1

Subtracting 4 frοm bοth sides, we get:

x = 1 - 4 = -3

Therefοre, h-1(1) = -3.

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Answer:

7.5

Step-by-step explanation:

8/6= 1.333

10/1.333 = 7.5

I hope this helps!

We get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.

An equation is a combination of two expressions connected by an equal sign.

We are given an equation:

x / 5 = 7 / 3

We need to find the value of x.

Multiply both sides by 5

x / 5  × 5 = 7 / 3 × 5

x = 35 / 3

Now, we will divide 35 by 3 and round off the result to two decimal places:

x = 11.67

Therefore, we get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.

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A statement which could be true for g is that: A. g(-13) = 20.

A domain can be defined as the set of all real numbers for which a particular function is completely defined.

Since the domain of this function is given by -20 ≤ x ≤ 5, it simply means that the value of x must between -20 and 5. Also, with a range of -5 ≤ g(x) ≤ 45, the value of x must between -5 and 45.

By extrapolating the function, we can deduce that:

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Complete Question:

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

A. g(-13) = 20

B. g(-4) = -11

C. g(7) = -1

D.g(0) = 2

We have to find the interest amount first. To do this, we find the 1.89% of the initial amount:

That's the annual interest. If it's add up for 6 years, then the total interest is:

Finally we add this total interest to the initial amount:

The ending balance is $139,175.00

Using variable concepts, it is found that the player's height is a continuous quantitative variable.

In this problem:

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Answer:

height

Step-by-step explanation:

noballz

Answer:

y=15x+5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I don't know to explain it so this is by khan academy

If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution.