A lot of people that live in San Luis AZ have a job at Yuma or nearby the city. For this reason, Yuma county officials are considering expanding the highway between San Luis and Yuma. Since they will need a considerable amount of money to build the new highway, they want to make sure that at least 65% of employed adults that live in San Luis, travel to Yuma or nearby to get to their workplaces. From the 11,559 employed adults that live in San Luis, a random sample of 400 people was taken and 290 said that they work at Yuma or nearby. Assume that the Yuma county officials want to build a 95% confidence interval to estimate the proportion of employed adults that live in San Luis and travel to Yuma or nearby to get to their workplaces.



Calculate the margin of error for this sample, assuming a level of confidence of 95%.


Construct a 95% confidence interval for the employed adults that live in San Luis AZ and travel to Yuma or nearby to get to their workplaces.


Explain the meaning of "95% level of confidence", in context.


Interpret the confidence interval you created in question (b).


Given the confidence interval you calculated on (b), is it worth it to invest the money on this new highway?

The probability of landing heads at least once in five tosses is 0.83.

We are given that;

The number of coins tossed = 5

Now,

To find the probability of at least one success in n trials:

P (at least one success) = 1 - P (failure in one trial)n

A success is landing heads, and a failure is landing tails. The probability of failure is 1 - p, where p is the probability of landing heads. The number of trials is 5.

So, the probability of landing heads at least once in five tosses is:

P (at least one head) = 1 - (1 - p)5

We plug in any value for p between 0 and 1 to get the answer. For example, if p = 0.3, then:

P (at least one head) = 1 - (1 - 0.3)5

P (at least one head) = 1 - 0.75

P (at least one head) = 0.83

This means that if the probability of landing heads is 0.3.

Therefore, by probability the answer will be 0.83.

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Answer:

SU = 15

Step-by-step explanation:

Given that,

Point T is on line segment SU. So,

SU = ST + TU

Putting all the values, we get :

SU = 12 + 3

SU = 15

Hence, the length of SU is 15 units.

Answer:

ummmm i uhhh :/

Step-by-step explanation:

Answer:

69 i think

Step-by-step explanation:

it is either 69 or 83

The linear equation relating taxable income (x) and tax paid (y) for the income range of $16,751 to $68,000 is y = 1075 + 0.15(x - 16,751).

According to the IRS Form 1040 for 2010, the tax on taxable income in the range of $16,751 to $68,000 is determined by adding $1075 to 15% of the taxable income over $16,751. To express this relationship as a linear equation, we define y as the tax paid and x as the taxable income. The equation can be written as:

y = 1075 + 0.15(x - 16,751)

The term 0.15 represents the 15% tax rate, and (x - 16,751) represents the taxable income over $16,751. By adding the fixed amount of $1075 to the product of the tax rate and the difference in taxable income, we obtain the linear equation relating taxable income and tax paid for the given income range.


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Oliver has 5 pieces of string each of length 4 2 12 feet and Destiny has 4 pieces of string each of length 5 14 16 feet.

Now, let's use an estimation strategy to determine who has the most string by rounding the length of each string to the nearest whole number.The nearest whole number to 4 2 12 is 4The nearest whole number to 5 14 16 is 6Now, we can determine who has the most string by multiplying the rounded lengths of each string by the number of strings they have:Oliver has 5 strings, so he has about 5 × 4 = 20 feet of stringDestiny has 4 strings, so she has about 4 × 6 = 24 feet of string

Therefore, Destiny is estimated to have about 24 − 20 = 4 more feet of string than Oliver. Thus, Destiny is estimated to have 4 more feet of string than Oliver.

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Answer:

do lsibras a  6 dolares cadanax  u

Step-by-step explanation:

Answer:

Here is a chart to help you answer your problem hope it help :)

Step-by-step explanation:

Answer:

8 وحدات (a​

Step-by-step explanation:

Answer:

16 - 3x5

Step-by-step explanation:

In the expression -2x4+16+2x4+9-3x5

-2x4 will eliminate +2x4 so we have 16 - 3x5 these two are not like terms so we can't add or subtract them

Answer:

See below.

Step-by-step explanation:

\(-2x^4+16+2x^4+9-3x^5\)

A helpful thing to do is to rearrange them in descending order:

\(=-3x^5-2x^4+2x^4+16+9\)

We can see that the second and third term cancel. The fourth and fifth term are able to be added:

\(-3x^5+25\)

Note: If you're confused on why \(-2x^4+2x^4\) cancel, use the distributive property:

\(-2x^4+2x^4=x^4(-2+2)=x^4(0)=0\)

Answer:

Step-by-step explanation:

I don’t even know tbh

When y = 5.4 and x = -2, the value of P is 25. This means that if we know the values of y and x in this equation, we can use the equation to calculate the corresponding value of P

The expression P = 5y + x represents a linear equation in two variables, where P represents the value of a certain quantity, y represents one independent variable, and x represents another independent variable.

In this case, we are given the values of y and x, and we are asked to find the corresponding value of P. By substituting the given values of y and x into the equation, we can solve for P.

When we substitute y = 5.4 and x = -2 into the equation, we get:

P = 5y + x

P = 5(5.4) + (-2)

P = 27 - 2

P = 25

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Answer:

40 and 100

Step-by-step explanation:

Answer:

bro so i dont have an answer but i'm on the same thing rn lol

Step-by-step explanation:

a)  The x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

b) The coordinates of the vertex are (0.75, -5.125).

c) By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

Setting f(x) = 0:

\(2x^2 - 3x - 5 = 0\)

To solve this quadratic equation, we can either factor it or use the quadratic formula. In this case, factoring is not straightforward, so let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 2, b = -3, and c = -5. Substituting these values into the quadratic formula:

x = (-(-3) ± √((-3)^2 - 4(2)(-5))) / (2(2))

x = (3 ± √(9 + 40)) / 4

x = (3 ± √49) / 4

x = (3 ± 7) / 4

This gives us two possible solutions:

x1 = (3 + 7) / 4 = 10/4 = 2.5

x2 = (3 - 7) / 4 = -4/4 = -1

Therefore, the x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or minimum, we need to consider the coefficient of the x^2 term in the function f(x). In this case, the coefficient is positive (2), which means the parabola opens upward and the vertex represents a minimum point.

To find the coordinates of the vertex, we can use the formula x = -b / (2a). In our equation, a = 2 and b = -3:

x = -(-3) / (2(2))

x = 3 / 4

x = 0.75

To find the corresponding y-coordinate, we substitute x = 0.75 into the function f(x):

f(0.75) = 2(0.75)^2 - 3(0.75) - 5

f(0.75) = 2(0.5625) - 2.25 - 5

f(0.75) = 1.125 - 2.25 - 5

f(0.75) = -5.125

Therefore, the coordinates of the vertex are (0.75, -5.125).

Part C: To graph the function f(x), we can follow these steps:

Plot the x-intercepts obtained in Part A: (2.5, 0) and (-1, 0).

Plot the vertex obtained in Part B: (0.75, -5.125).

Determine if the parabola opens upward (as determined in Part B) and draw a smooth curve passing through the points.

Extend the curve to the left and right of the vertex, ensuring symmetry.

Label the axes and any other relevant points or features.

By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

The x-intercepts help determine where the graph intersects the x-axis, and the vertex helps establish the lowest point (minimum) of the parabola. The resulting graph should show a U-shaped curve opening upward with the vertex at (0.75, -5.125) and the x-intercepts at (2.5, 0) and (-1, 0).

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Answer:

Step-by-step explanation:

\(f(x) = (x-8)(x-2)\quad\implies\quad x_1=8\,,\ \ x_2=2\\\\ h=\dfrac{x_1+x_2}2=\dfrac{8+2}2=5\\\\k=f(h)=(5-8)(5-2)=-3\cdot3=-9\)

Given :

Diameter of pizza , \(D=10\dfrac{1}{3}=\dfrac{31}{3}\) .

To Find :

Is square box of size equal to diameter big enough to fit pizza inside it .

Solution :

Area of pizza :

\(A_p=\pi(\dfrac{D}{2})^2\\\\A_p=\pi\times (\dfrac{31}{3\times 2})^2\\\\A_p=83.86\ inch^2\)

Area of square with side equal to diameter :

\(A_s=D^2\\\\A_s=(\dfrac{31}{3})^2\\\\A_s=106.78\ inch^2\)

Since , the area of square is more than area of pizza .

Therefore , pizza can easily be fitted .

Hence , this is the required solution .

Let's start by substituting the right-hand side of the equation into the left-hand side:

What does the math equation mean?

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.

4y - 3 = 4(y + 1)

4y - 3 = 4y + 4

Now, we can isolate y by subtracting 4y from both sides:

0 = y + 4

-4 = y

So, there is a solution to the equation: y = -4. This means that Dawson is incorrect in saying that the equation has no solution.

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Answer:

ok it would be the answer on the bottom right which is \(x^{4} \sqrt[7]{x^{6} }\)

Step-by-step explanation:

So basically you just divide 34 by 7 to see how many times 7 goes into 34 which is 4 times. 7 times 4 gives you 28 and now you need to find the remainder, which is what's left inside the square root symbol. You put the x to the 4th power outside. So subtract 28 from 34 and that gives you 6 so you're left with x to the power of 6th inside the square root.

Answer:

140 Minutes

Step-by-step explanation:

Y = 0.125x ---> Corinne every 1 minute

Y = 3.5 + .1x ----> Aretha

0.125x = 3.5 + .1x

-.1x               - .1x

0.025x = 3.5

0.025x/.025 = 3.5/.025

x = 140 minutes

We conclude that the length of the rectangle is 17 ft, and the width of the rectangle is 95ft.

Remember that for a rectangle of width W and length L, the perimeter is:

P = 2*(L + W)

Here we know that the perimeter is 224 ft, and we know that the length length is an odd integer, then:

L = (2n + 1)

The width is 5 times the next odd integer, then:

W = 5*(2n + 3)

Where n is an integer number. Replacing all that in the perimeter equation, we get:

224 = 2*( (2n + 1) + 5*(2n + 3))

Now we just need to solve this for n.

224/2 = ( (2n + 1) + 5*(2n + 3))

112 =  (2n + 1) + 5*(2n + 3) = 2n + 1 + 10n + 15 = 12n + 16

112 - 16 = 12n

96 = 12n

96/12 = n = 8

Then the length is:

L = (2n + 1) = (2*8 + 1) = 17

And width:

W = 5*(2n + 3) = 5*(19) = 95

We conclude that the length of the rectangle is 17 ft, and the width of the rectangle is 95ft.

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Answer:

the length is 17, the width is 95

Step-by-step explanation:

i just got this right on delta

The cost of gas was 3.051, the profit made by Mank is $366.96.

The amount of old copper tubing removed from air conditioning units is 68.8 kg.

The price paid per pound of copper tubing is $2.50.

The amount of gas used is 4 gallons.

The cost of 1 gallon of gas is $3.051.

By using dimensional analysis, we can convert 68.8 kilograms into pounds as shown below,

1 kg = 2.20462 lbs

68.8 kg = 68.8 × 2.20462 lbs= 151.663856 lbs

Using the above obtained value in pounds and the given price per pound, we can determine the total amount he was paid as shown below,

Total amount paid = 151.663856 × 2.5 = $379.16

The cost of 4 gallons of gas is 4 × 3.051 = $12.204

.Subtracting the gas cost from the amount paid, we get the profit,

Mank's profit = Total amount paid - Cost of gas= $379.16 - $12.204 = $366.956 or $366.96 (rounded to two decimal places)

Therefore, the profit made by Mank is $366.96.

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Answer:

Primero, dibuje el escenario. El camino tomado por Shane forma un triángulo rectángulo. La distancia desde el punto de partida forma la hipotenusa.

Answer:

I think the answer is A but im not sure

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Based on the problom the best conclution would be A,hope this helped.

Step-by-step explanation:

The sample size for the given data is 17

The sample size is a term used in market research for defining the number of subjects included in a sample size.

Given that, a sample size has an 80% confidence interval, the population standard deviation is s = 120, the margin of error to be approximately 10, We need to find the sample size,

Sample size = (z-score)²×SD×(1-SD) / (confidence interval)²

z-score of 80% confidence interval = 1.28

Sample size = (1.28)²×0.12(1-0.12)/0.10²

= 1.6384×0.12×0.88/0.01

= 17.30

Hence, the sample size for the given data is 17

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The  number - 7/5 is LESS than -1 1/5

because -7/5 lies GREATER 5-1 /1 on a vertical number line.

The value of w = (P - 2i) / 2

To solve the equation for the indicated variable, P = 2i + 2w; for w, follow these steps:

Step 1: Start with the given equation: P = 2i + 2w
Step 2: You want to isolate w, so subtract 2i from both sides of the equation: P - 2i = 2w
Step 3: Divide both sides by 2: (P - 2i) / 2 = w

Your answer: w = (P - 2i) / 2

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