he following probabilities are based on data collected from U.S. adults during the National Health Interview Survey 2005-2007. Individuals are placed into a weight category based on weight, height, gender and age. Probability Underweight 0.019 Healthy weight 0.377 Overweight (not obese) 0.35 Obese 0.254 Based on this data, what is the probability that a randomly selected U.S. adult weighs more than the healthy weight range?

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

-7<x<6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variables

Mark me brainliest please!

Answer: 0.36 = 0.6

Step-by-step explanation:

Answer: 2.6

Step-by-step explanation:

Step 1: Calculate the mean of Shade's plant heights.

= 7+12+12+8+9+8+8+8/8

= 72/8

=9

Step 2: Calculate the range of Shade's plant heights. Range is highest minus lowest number. This will be:

12 - 7 = 5

Step 3: Calculate the mean of Sun plant heights.

19+24+20+23+24+23+23+20/8

= 176/8

= 22

Step 4: Find the range of Sun plants height.

= 24 - 19 = 5

Step 5: Find the difference of means

= 22 - 9

= 13

Step 6: Divide the difference of means by the range.

= 13 ÷ 5

= 2.6

The difference in mean and range are 13 and 0 respectively.

We are to find the difference in mean and range of the plant height.

Given the Shade plant heights expressed as 7 12 12 8 9 8 8 8

Mean =  7 + 12+12+ 8+ 9+ 8+ 8+ 8

Mean = 72

Sample size = 8

Range = Highest value - Lowest value

Range = 21 - 7

Given the Sun plant heights expressed as 19 24 20 23 24 23 23 20

Mean =  19+ 24+ 20+ 23+ 24+ 23+ 23+ 20

Mean = 176

Sample size = 8

Range = Highest value - Lowest value

Range = 24 - 19

Evaluate the difference in mean

Difference in mean = 22 - 9

Difference in mean = 13

Evaluate the difference in range

Difference in range = 5 - 5

Difference in range = 0

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Answer:

  65.3 cm

Step-by-step explanation:

The law of sines can be used for this.

  g/sin(G) = f/sin(F)

  g = (37 cm)sin(124°)/sin(28°) ≈ 65.3 cm . . . . multiply by sin(G)

The length of g is about 65.3 cm.

Answer:

Perimeter =

[tex]2(length + width) \\ 2(5x + 1 + 4x - 1) \\ 2(5x + 4x + 1 - 1) \\ 2(9x ) \\ 9 \times 2 \\ = 18[/tex]

Step-by-step explanation:

I think common factors are

18 = 1 2 3 6 9 18

30 = 1 2 3 10 15 30

So highest common factor is 3

18x + 30x2

3x (6 + 10x)

Answer:

The answer is 6x

Step-by-step explanation:

The distance the lifeguard should run along the shore before jumping into the water, can be determined by minimizing the function of time, that is, the time it takes for the lifeguard to reach the child. This problem can be solved either by using calculus or the graphical method with a graphing tool.

This problem can be solved using optimization of functions, which is a part of calculus. We would let 'x' be the distance along the shore that the lifeguard runs before jumping into the water. Then the total time taken to reach the child is given by the formula T = x/4 + sqrt((60-x)² + 40²)/1.1. We are looking for the minimum of T as a function of x. However, it would require knowledge of calculus to solve this problem. As an alternative, one can also use a graphing calculator or similar tool to graph the time function and then determine the minimum on the graph.

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Final answer:

To save the child, you should run along the shore for approximately 15 seconds before jumping into the water.

Explanation:

To determine how far along the shore you should run before jumping into the water to save the child, you need to find the time it takes to run along the shore and then swim directly to the child.

First, calculate the time taken to run along the shore using the formula: time = distance / speed. In this case, the distance is 60 meters and the speed is 4 meters per second. So, the time taken to run along the shore is 60 / 4 = 15 seconds.

Next, calculate the time taken to swim directly to the child using the formula: time = distance / speed. In this case, the distance is 40 meters and the speed is 1.1 meters per second.

So, the time taken to swim directly to the child is 40 / 1.1 ≈ 36.364 seconds.

Therefore, the total time taken to save the child is the sum of the time taken to run along the shore and the time taken to swim directly to the child.

So, in order to save the child, you should run along the shore for approximately 15 seconds before jumping into the water.

Answer:

19

Final answer:

The class set up 19 full rows of chairs for the graduation ceremony by dividing the total number of chairs, 418, by the number of chairs in each row, 22.

Explanation:

To determine how many rows of chairs the fifth grade class set up for a graduation ceremony, we divide the total number of chairs by the number of chairs in each row. They have set up a total of 418 chairs, and each row contains 22 chairs.

Divide the total number of chairs (418) by the number of chairs per row (22).

Perform the division: 418 ÷ 22 = 19.

The result is that they set up 19 full rows of chairs.

The 0 acres of crop A, 60 acres of crop B, and 40 acres of crop c each crop should be planted to maximize profit $26,000.

Given that,

A farmer owns a 100-acre farm and plans to plant at most three crops. The seed for crops A, B, and C costs $40, $20, and $30 per acre, respectively.

A maximum of $3200 can be spent on the seed. Crops A, B, and C require 1,2, and 1 workday per acre, respectively, and there are a maximum of 160 workdays available.

If the farmer can make a profit of $100 per acre on crop A, $300 per acre on crop B, and $200 per acre on crop C,

We have to find,

How many acres of each crop should be planted to maximize profit?

According to the question,

The farmer can make a profit of $100 per acre on crop A, $300 per acre on crop B, and $200 per acre on crop C,

[tex]\rm P = 100A + 300B + 200C[/tex]

The seed for crops A, B, and C costs $40, $20, and $30 per acre, respectively.

And A maximum of $3200 can be spent on the seed.

[tex]\rm 40A + 20B + 30C \leq 3200[/tex]

Then, Sum of seed for crops costs = area of the farm

[tex]\rm A + B + C \leq 100[/tex]

Crops A, B, and C require 1,2, and 1 workday per acre, respectively, and there are a maximum of 160 workdays available.

[tex]\rm A + 2B + C = 160[/tex]

Solving all the equations,

From equation 3,

[tex]\rm A = 100-B-C[/tex]

Substitute the value of A in equation 4,

[tex]\rm 100 - B - C+ 2B + C = 160\\\\100 + B = 160 \\\\B = 160 - 100\\\\B = 60[/tex]

Put B = 60 in the equation,

[tex]\rm A = 100-B-C\\\\A = 100-60-C\\\\A = 40-C[/tex]

Substitute the value of A in equation 2,

[tex]\rm 40(40-C) + 20\times 60 + 30C = 3200\\\\1600 - 40C + 1200 + 30C = 3200\\\\-10C + 2800 = 3200\\\\-10C = 3200-2800\\\\-10C = 400\\\\C = \dfrac{400}{-10}\\\\C = -40[/tex]

The area can not be negative then the value of C is +40.

And the value of A is,

[tex]A + B + C = 100\\\\A = 100 - 60 -40\\\\A = 100-100\\\\A = 0[/tex]

Then, Maximize profit is,

[tex]\rm P = 100A + 300B + 200C\\\\\rm P = 100(0) + 300(60) + 200(40)\\\\P =0+18000+8000\\\\P = 26000[/tex]

Hence, The 0 acres of crop A, 60 acres of crop B, and 40 acres of crop c each crop should be planted to maximize profit $26,000.

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The toxicity level of the lake water is calculated by dividing the current level of toxins (0.86 mg per liter) by the maximum safe level (1.04 mg per liter) and then converting to a percentage, which results in approximately 83%.

To determine the toxicity level of lake water, we need to divide the amount of dissolved toxins per liter by the maximum safe amount and convert it to a percentage.

Given that the lake currently has 0.86 milligrams of dissolved toxins per liter of water and the maximum safe level is 1.04 milligrams per liter, we calculate the toxicity level using the following steps:

Therefore, the correct answer is C. 83%.

The X-intercept (-250, 0)

The Y-intercept (0, 100)

These are the Y and X intercepts because this the first time the line intercepts. I hope I explained it well...

Have a good day!

Tbe confidence interval marked the range of values for which the true population mean is estimated to be given a certain level of confidence. Hence, the confidence interval is (0.6523, 0.7477)

Since the sample size is large enough, we use the the Z distributuon :

Confidence interval is defined thus :

Margin of Error :

Hence,

Lower confidence boundary = 0.7 - 0.0290 = 0.6523

Upper confidence boundary = 0.7 + 0.0290 = 0.7477

Therefore, the confidence interval is (0.6523, 0.7477)

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To construct a 90% confidence interval for the population proportion, calculate the sample proportion, the standard error, and use the confidence interval formula.

Step 1:

Calculate the sample proportion, which is X divided by n. In this case, it is 175 divided by 250, which gives us 0.7.

Step 2:

Calculate the standard error, which is the square root of (p*(1-p))/n, where p is the sample proportion. In this case, it is the square root of (0.7*(1-0.7))/250, which is approximately 0.0266.

Step 3:

Construct the confidence interval using the formula p ± z*(standard error), where p is the sample proportion and z is the z-score corresponding to the desired level of confidence. For a 90% confidence interval, the z-score is approximately 1.645. Therefore, the 90% confidence interval is 0.7 ± 1.645*0.0266, which becomes (0.658, 0.742).

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Answer:

no,

Step-by-step explanation:

1/4 of 40 is 10

40-10=30

It depends. The actual price would be $31.35. So it is not really reasonable since it is closer to the original price than it is to the discounted one... Just use your best judgement...

9514 1404 393

Answer:

  2.6 cm

Step-by-step explanation:

The full circle is 360°, so an arc of 30° will have 30/360 = 1/12 of the measure of the circumference of the circle.

  arc length = πd/12 = π(10/12) ≈ 2.6 cm

Answer:

(x-4)

Step-by-step explanation:

Since a square has 4 equal sides, the perimeter of a square is 4 times one of the sides (which is equal to adding all the sides together). So:

Perimeter = 4(a side) = 4x-16

a side = (4x-16)/4 = (x-4)

The length of a side of a square with perimeter 4x - 16 is x - 4.  

perimeter of a square is represented as follows:

where

l = length

Therefore,

4l = 4x - 16

divide both sides by 4

l = x - 4

The length = x - 4

Note a square have all its side equal to each other.

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Answer:

Step-by-step explanation:

Let x represent the quantity of 80% solution. Then 130-x is the amount of 55% solution. The total amount of salt in the mix is ...

  0.80x +0.55(130 -x) = 0.75·130

  0.25x = 0.20·130 . . . . . . . subtract 0.55(130)

  x = 0.20/0.25(130) = 104

  130-x = 26

She should use 26 ounces of 55% solution and 104 ounces of 80% solution.

Final answer:

The scientist would need to use 26 ounces of Solution A and 104 ounces of Solution B to create 130 ounces of a 75% salt mixture.

Explanation:

To solve the problem of mixing two salt solutions of different concentrations to achieve a specific final concentration, we can set up a system of equations based on the amounts of salt and total solution. We know that Solution A is 55% salt and Solution B is 80% salt, and we want 130 ounces of a 75% salt mixture.

Let x be the amount of Solution A and y be the amount of Solution B. The first equation is based on the total amount of solution, and it is:

x + y = 130 ... (1)

The second equation is based on the amount of salt in the final mixture:

0.55x + 0.80y = 0.75(130) ... (2)

From equation (1), we can express y as y = 130 - x. Substitute this into equation (2) and solve for x:

0.55x + 0.80(130 - x) = 97.5

0.55x + 104 - 0.80x = 97.5

-0.25x = -6.5

x = 26 ounces (Solution A)

Substitute x back into equation (1) to find y:

x + y = 130

26 + y = 130

y = 104 ounces (Solution B)

So, to obtain 130 ounces of a 75% salt mixture, the scientist would use 26 ounces of Solution A and 104 ounces of Solution B.

Answer:

D

Step-by-step explanation:

This function resembles that of the absolute value function, never going into the negative y values. Hope this helps!

Answer:

The proportion of defective chips produced by the machine is more than 4% so the machine needs an adjustment.

Step-by-step explanation:

In this case we need to test whether the proportion of defective chips produced by the machine is more than 4%.

The hypothesis can be defined as follows:

H₀: The proportion of defective chips produced by the machine is not more than 4%, i.e. p ≤ 0.04.

Hₐ: The proportion of defective chips produced by the machine is more than 4%, i.e. p > 0.04.

The information provided is:

X = 12

n = 200

α = 0.025

The sample proportion of defective chips is:

[tex]\hat p=\frac{X}{n}\\\\=\frac{12}{200}\\\\=0.06[/tex]

Compute the test statistic as follows:

[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}\\\\=\frac{0.06-0.04}{\sqrt{\frac{0.04(1-0.04)}{200}}}\\\\=1.44[/tex]

The test statistic value is 1.44.

Decision rule:

We reject a hypothesis if the p-value of a statistic is lower than the level of significance α.

Compute the p-value of the test:

[tex]p-value=P(Z>1.44)\\=1-P(Z<1.44)\\=1-0.92507\\=0.07493\\\approx 0.075[/tex]

The p-value of the test is 0.075.

p-value = 0.075 > α = 0.025

The null hypothesis was failed to be rejected at 2.5% level of significance.

Thus, it can be concluded that the proportion of defective chips produced by the machine is more than 4% so the machine needs an adjustment.

To test the hypothesis whether or not the machine needs an adjustment, we can use a one-sample proportion test. Calculate the sample proportion, the standard error of the proportion, and the test statistic. Find the p-value and compare it to the significance level to make a conclusion.

To test the hypothesis whether or not the machine needs an adjustment, we can use a hypothesis test. The null hypothesis (H0) is that the machine is working properly and the alternative hypothesis (Ha) is that the machine needs an adjustment. We can use a one-sample proportion test since we are testing the proportion of defective chips.

If the p-value is less than the significance level (2.5%), we reject the null hypothesis and conclude that the machine needs an adjustment. If the p-value is greater than or equal to the significance level, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the machine needs an adjustment.

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Answer:

108

Step-by-step explanation:

As per the given question the solution of items need to be counted each day is provided below:-

Here to reach the items needs to be counted each day first we need to find out the number of items which are as follows:-

[tex]For\ item\ A\ = Inventory\ A\ Percentage \times \ Number\ of\ inventory\ items[/tex]

[tex]= 10\% \times \ 7,000[/tex]

[tex]= 0.1 \times \ 7,000[/tex]

[tex]= \ 700[/tex]

[tex]For\ item\ B\ = Inventory\ B\ Percentage \times \ Number\ of\ inventory\ items[/tex]

[tex]= 35\% \times \ 7,000[/tex]

[tex]= 0.35 \times\ 7,000[/tex]

[tex]= \ 2,450[/tex]

[tex]For\ item\ C\ = Inventory\ C\ Percentage \times \ Number\ of\ inventory\ items[/tex]

[tex]= 55\% \times \ 7,000[/tex]

[tex]= 0.55 \times\ 7,000[/tex]

[tex]= 3,850[/tex]

Now, we will find out the items to be counted each day

[tex]Items\ to\ be\ counted\ each\ day\ = \frac{Item\ A}{Working\ Days\ of\ A} \ + \frac{Item\ B}{Working\ Days\ of\ B} \ + \frac{Item\ C}{Working\ Days\ of\ C}[/tex]

[tex]= \frac{700}{20} \ + \frac{2,450}{60}\ + \frac{3,850}{120}[/tex]

[tex]= \ 35\ + \ 40.83\ + \ 32.08[/tex]

[tex]= \ 107.92[/tex]

or

= 108

So, we have calculated the items to be counted for each day by using the above formula.

Answer:

5

Step-by-step explanation:

f(x) = x^2 -6x+13

Let x=4

f (4) = 4^2 -6(4) +13

       = 16 -24 +13

       = 5

The value of f(4) for the function f(x) = x^2 - 6x + 13 is 5.

In order to find f(4) for the function f(x) = x2 - 6x + 13, we replace each x in the equation with 4. So, f(4) = (4)2 - 6(4) + 13. Squaring 4 gives us 16, and 6 times 4 gives us 24.

Therefore, our equation is now f(4) = 16 - 24 + 13. Solving for f(4), we subtract 24 from 16 to get -8, and then add 13 to get 5.

Thus, f(4) = 5.

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Answer:121

Step-by-step explanation:

11 times 11.

Answer:

[tex]121[/tex]

Step-by-step explanation:

[tex]11^{2} \\ write \: the \: exponentiation \: as \\ multiplication. \\ \\ 11 \times 11 \\ multiply \\ \\ 121[/tex]

Answer:

9.76

Step-by-step explanation:

I am very smart

Answer:

Rotation

Step-by-step explanation:

Given:  

Triangle DEF is congruent to Triangle GHJ by the SSS theorem

To find: transformation required to map Triangle DEF onto Triangle GHJ

Solution:

Two figures are said to be congruent if they overlap each other.

Two polygons are said to be congruent if they have same size and shape.

A rotation is a transformation that turns a figure about  the center of rotation.

Rotation transformation is required to map Triangle DEF onto Triangle GHJ

Answer:

translation

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

(n-2) * 180

(8-2) * 180

(6) * 180

1080

Answer:

Read below for the answer

Step-by-step explanation:

1 pound = 1/14 stone

[multiply by 14]

14 pounds = 1 stone

[multiply by 3]

42 pounds = 3 stone

[divide by 4]

42 / 4 pounds = 3/4 stone

[simplify]

21 /2 = 10.5 pounds = 3/4 stone

Answer:  i dont now

Step-by-step explanation:

Answer:

She still has 166.67 square feet does she have left to plant flowers

Step-by-step explanation:

The sum of total area planted, and the remaining area left to plant, is 100% = decimal 1.

She has planted 1/3 of the area. So

[tex]\frac{1}{3} + p = 1[/tex]

[tex]p =  1 - \frac{1}{3}[/tex]

[tex]p = \frac{3-1}{3}[/tex]

[tex]p = \frac{2}{3}[/tex]

So she still has to paint two thirds of the area.

The area is of 250 square feet.

2/3 of 250

[tex]250\frac{2}{3} = 166.67[/tex]

She still has 166.67 square feet does she have left to plant flowers

To calculate the difference between the expected reimbursements of insurance policies G and H for a given month, we need to find the expected reimbursement for each policy and then take the difference of the two values.

To calculate the difference between the expected reimbursements of insurance policies G and H for a given month, we need to find the expected reimbursement for each policy and then take the difference of the two values.

For policy G, there is a 45% chance of no claims, in which case the reimbursement is 0. If a claim is made, the loss amount follows an exponential distribution with a mean of 5. We need to find the expected value of the reimbursement in this case. Let X be a random variable representing the loss amount. The expected reimbursement for policy G is then given by:

Expected Reimbursement for Policy G = 0.45(0) + 0.55(0.8)(E(X) - 2)

Similarly, for policy H, there is a 35% chance of no claims and a 65% chance of a claim with a loss amount following an exponential distribution with a mean of 9. Let Y be a random variable representing the loss amount. The expected reimbursement for policy H is:

Expected Reimbursement for Policy H = 0.35(0) + 0.65(0.8)(E(Y) - 2)

To find the difference between the expected reimbursements, we subtract the expected reimbursement for policy H from the expected reimbursement for policy G:

Difference = Expected Reimbursement for Policy G - Expected Reimbursement for Policy H

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Answer:

6

Step-by-step explanation:

I did it