A third grade class has 16 girls and 15 boys a fourth grade class has 18 boys and 15 girls when picking for PE captains will make one selection from the fourth grade class and one selection from the third grade class before the other team pics assuming everyone has an equally like lee chance of being selected what is the probability that the first captain will choose two boys on the first pick

Answer:

35.7±0.05 kg

Step-by-step explanation:

Including the uncertainty, the mass of dog is -

35.7 + 0.1 kg.

We have Mason's Dog.

We have to determine how should Mason express his dog's weight, including the uncertainty.

The uncertainty is the experimenter's best estimate of how far an experimental quantity might be from the true value.

According to the question -

The scale has increments of 0.1 kilograms (kg).

Mason's actual weight - 35.7 kg

Therefore, including the uncertainty, the mass of dog is -

35.7 + 0.1 kg

Hence,  including the uncertainty, the mass of dog is -

35.7 + 0.1 kg

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The equation of a circle is written as (x – h)^2 + (y – k)^2 = r^2

h and k are the center point and r is the radius.

In the given equation h = -6 and k = 7 and r would be the square root of 81, which is 9.

Center (-6,7)

Radius = 9

The required center is [tex](-6,7)[/tex] and the radius is 9 units.

Given equation is,

[tex](x + 6)^2 + (y-7)^2 = 81[/tex]....(1)

Equation of the circle: The general equation of the circle with the center (a,b) and the radius r is represented by,

[tex](x-a)^2+(y-b)^2=r^2[/tex]...(2)

We can write the given equation as,

[tex](x + 6)^2 + (y-7)^2 = (9)^2[/tex]

Comparing equations (1) and (2) we get,

The Centre of the given circle is [tex](-6,7)[/tex]

The radius of the given circle is 9 units.

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Answer:

The function is  [tex]P(x) = \frac{1}{2} e^{-x^2} +0.016[/tex]

Step-by-step explanation:

From the question we are told that

    The rate of growth  is  [tex]P'(x) = xe^{x} - x^2[/tex]

     The total profit is [tex]P(2) =[/tex]$25,000

      The time taken to make the profit is [tex]x = 2 \ years[/tex]

From the question

     [tex]P'(x) = xe^{-x^2}[/tex]  is the rate of growth

  Now here x represent the time taken

Now the total profit is mathematically represented as

       [tex]P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,[/tex]

So using substitution method

   We have that

                      [tex]u = - x^2[/tex]

                      [tex]du = 2xdx[/tex]

  So  

        [tex]p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du[/tex]

       [tex]p(x) = {\frac{1}{2} [ e^{-u}} +c ][/tex]

       [tex]p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c[/tex]      recall  [tex]u = - x^2[/tex]   and  let  [tex]\frac{1}{2} c = Z[/tex]

At  x =  2 years  

     [tex]P(x) =[/tex]$25,000

So

       Since the profit rate is in million

    [tex]P(x) =[/tex]$25,000 = [tex]\frac{25000}{1000000} =[/tex]$0.025 millon dollars

So  

       [tex]0.025 = {\frac{1}{2} e^{-2^2}} + Z[/tex]  

=>    [tex]Z = 0.025 - {\frac{1}{2} e^{-2^2}}[/tex]  

       [tex]Z = 0.016[/tex]  

So the profit function becomes

         [tex]P(x) = \frac{1}{2} e^{-x^2} +0.016[/tex]

Answer:

The correct option is C

Step-by-step explanation:

ANOVA is the correct option because it can be used to carry out comparison of average of more than  two groups  

Answer:

X = unknown

The highest degree of x is 2 .

Step-by-step explanation:

First of all x is the unknown variable to be determined by solving quadratically

Quadratic equation was chooses because of the degree of x.

The highest degree of x is 2 .

That's the the reason why the value of x will always be double.

If solving linear equation that has degree one, the value of x is one

If solving polynomial, the value of x will be 3 above.

From what I see in the problem, the expression is

[tex](\frac{3^a^2}{3a^-1} )^k[/tex]

To solve, plug in a and k.

[tex](\frac{3^(5)^2}{3*5^-1} )^-2[/tex]

3*5^2=75

(3*5)^-1 = 1/15

[tex]75 / \frac{1}{15} = 5[/tex]

5^-2 = 1/25

Answer:

Alonzo ate 1/2 more than Mitra.

Step-by-step explanation:

In this question, you are supposed to find how much more Alonzo ate. We solve that like this:

Steps:

   - Set up the Equation:

       - 1/4 + ? = 3/4

       - The question mark represents the answer.

   - Inverse Operations:

       - Change 1/4 + ? = 3/4 to 3/4 - 1/4 = ?

       - Since Subtraction is the opposite of Addition, we flip the equation.

   - Solve:

       - [tex]\frac{3}4} -\frac{1}{4} =\frac{2}{4}[/tex]

       - Then Simplify:

       - [tex]\frac{2}{4} =\frac{1}{2}[/tex]

So, Alonzo ate 1/2 more than Mitra, or C.

Hope this helps! Good luck!

Answer:

Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Step-by-step explanation:

Answer:

Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Step-by-step explanation:

The null hypothesis was the applicants last year​ score, on​ average was 52.5 points.

Conclusion: She fails to reject the null hypothesis that the mean is 52.5 points.

At the end of the​ year, they find that the candidates this year had a mean of 55.3 points.

A type II error occurs when the researcher fails to reject the null hypothesis when it is false. Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Answer:

0.2

Step-by-step explanation:

total = 1.0

strawberry = 0.8

1-0.8 =0.2

Answer:

0.2 is the probability of orange sweet.

Answer:

P(either almond or cashew) = ⅔

Step-by-step explanation:

We are told that the bag contains a mixture of almonds walnuts and cashews of equal number.

Since the 3 nuts are equal in number, they will have a ratio of 1:1:1.

So, when a nut is chosen randomly,

Probability of choosing almond = 1/3

Probability of choosing cashew = 1/3

Thus,

Probability of choosing either almond or cashew in a random selection will be the sum of their individual probability.

So,

P(either almond or cashew) = ⅓ + ⅓ = ⅔

Answer:

  54 yd²

Step-by-step explanation:

The surface area of the prism is the sum of the areas of its faces. Opposite faces have the same area, so we can write the formula as ...

  SA = 2(LW +WH +LH) = 2(LW +H(L +W))

Filling in the numbers, we have ...

  SA = 2(6·3 +1(6 +3)) = 2(18 +9) = 54 . . . . square yards

The area is 54 square yards.

So the value of X is 2.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]x = 2[/tex]

First answer is correct

Step-by-step explanation:

[tex]9 = 1 + 8x - 8 \\ 9 - 1 + 8 = 8x \\ 16 = 8x \\ \frac{16}{8} = \frac{8x}{8} \\ x = 2[/tex]

hope this helps

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good luck! have a nice day!

Answer:quadratic formula

Step-by-step explanation:

Answer:

Completing the square.

Step-by-step explanation:

x^2-8x+(-4)^2=22 can be rewritten as (x-4)^2=22. therefore, the best method would be completing the square.

Answer:

the equation used to determine the number of dimes in his pocket is an "algebraic equation" (3/4)x = 5.25

and the value of x = 7

Step-by-step explanation:

We are being told that:

Alex has 3 more quarters than dimes in his pocket, for a total of $5.25.

Let the value for the dimes in his pocket be x:

So he has 3 more quaters than x

We know that a quarter is 1/4

3 more quaters than x = (3/4) x

(3/4)x = 5.25

3x = 5.25 * 4

3x = 21

x = 21/3

x = 7

Thus, the equation used to determine the number of dimes in his pocket is an "algebraic equation" (3/4)x = 5.25

and the value of x = 7

Answer:

390 m^2

Step-by-step explanation:

52(7.5)=390

Answer:

D

Step-by-step explanation:

No because the product of their slopes is not -1

In the attached file

Answer:

[tex]9<99<999[/tex]

[tex]999>99>9[/tex]

Step-by-step explanation:

We have that:

If a<b and b<c, then a<b<c.

Combining the two inequalities, we obtain: [tex]9<99<999[/tex]

In reverse, we can also write this as:

[tex]999>99>9[/tex]

Answer:

x > 15

Step-by-step explanation:

simplify both sides of the inequality

2x + 9 > 39

subtract 9 from both sides

2x + 9 - 9 > 39 -9

2x > 30

divide both sides by 2

2x/2 > 30/2

x > 15

Answer:

$237.92

Step-by-step explanation:

0.85 x 279.90 = 237.915 = ~237.92

Answer:

y-4 = 8/7(x-4)

Step-by-step explanation:

formula is y-y=m(x-x) just substitute the numbers in

Answer:

The appropiate constraint is:

[tex]2X_1+3X_2\leq10,000[/tex]

Step-by-step explanation:

There is only one restriction in this problem, and that is the available units of recycled paper per month.

There is a total of 10,000 units.

Regular paper (X1) uses 2 units per unit of production and Super-soaker (X2) uses 3 units per unit of production.

The total units used for both types of paper are:

[tex]2X_1+3X_2[/tex]

This amount has to be equal or smaller than the available (10,000 units):

[tex]2X_1+3X_2\leq10,000[/tex]

The appropriate constraint/s for the units of production being made by XYZ Inc is;

2X₁ + 3X₂ ≤ 10000

We are told that;

X₁ is the number of units of regular produced per month

X₂ the number of units of super-soaker produced per month.

we are told that;

Regular uses 2 units of recycled paper per unit of production. This is 2X₁

Also, we are told that super-soaker uses 3 units of recycled paper per unit of production. This is 3X₂.

We are now told that The total amount of recycled paper available per month is 10,000.

This means that;

2X₁ + 3X₂ ≤ 10000

The symbol less than or equal to is used because it is not possible for the 10000 to be exceeded as that is the amount available and also it's possible less than the 10000 may be used.

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Answer:

Given:

n = 1003

[tex] p' = \frac{462}{1003} = 0.4606 [/tex]

q = 1 - 0.4606 = 0.5394

a) The sample size and count.

Here the sample size is the number that took part in the poll. It is denoted as n = 1003.

The count is the number that answered yes. Count = 462

b) The sample proportion.

The formula for sample proportion is: [tex] p' = \frac{x}{n} [/tex]

Therefore, sample proportion =

[tex] p' = \frac{462}{1003} = 0.4606 [/tex]

c) The relationship between population proportion and sample proportion.

Since the sample size is greater than 30 (n>30), the sample size is large. Hence, for a large sample, the population proportion is approximately equal to the sample proportion.

This means the population proportion, p = 0.4606

Answer:

A) Sample size n=1003

Count x=462

B) Sample proportion p=0.46

C) The population proportion can be estimated with a confidence interval, with the information given by the sample proportion.

The 95% confidence interval for the population proportion is (0.429, 0.491).

Step-by-step explanation:

A) The sample size include all the adult that answer the poll. The sample size is then n=1003.

The count is the number of adults that answer Yes in this case. The count is x=462.

B) The sample proportion can be calculated dividing the count by the sample size:

[tex]p=\dfrac{x}{n}=\dfrac{462}{1003}=0.46[/tex]

C) The population proportion is not known. It can only be estimated with the information given by samples of that population. The statistical inference is the tool by which the sample information can be used to estimate the population characteristics.

With the sample proportion p we can estimate a confidence interval for the population proportion.

We can calculate a 95% confidence interval.

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.46*0.54}{1003}}\\\\\\ \sigma_p=\sqrt{0.00025}=0.0157[/tex]

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=1.96 \cdot 0.0157=0.031[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.46-0.031=0.429\\\\UL=p+z \cdot \sigma_p = 0.46+0.031=0.491[/tex]

The 95% confidence interval for the population proportion is (0.429, 0.491).

We have 95% that the population proportion is within this interval

Answer:

56

Step-by-step explanation:

If you could give me a thanks, that would be much appreciated.

Answer: 9.5 (D.)

Step-by-step explanation:

SOCAHTOA

the sin of an angle is equal to the opposite side over the hypotenuse.

angle: 32

opposite side: x

hypotenuse: 18 m

1. sin32 = x/18

2. 18(sin32) = x

3. 9.5 = x

if you are confused with how it went from 18(sin32) to 9.5, you can plug 18(sin32) into your calculator.

Answer:

1. 10% of the bill is $138. The final bill once 10% is taken off is $1242.

2. 20% of the total is $34.10. The final total once the 20% is taken off is $136.4

Step-by-step explanation:

1. A crash repair bill comes to $1380.00. How much is 10% of the bill? What is the final bill once 10% is taken off?

To find how much is 10% of the bill, we multiply the bill by 0.1

0.1*1380 = 138

10% of the bill is $138.

To find the final bill, we subtract the initial bill by 10%.

1380 - 138 = 1242

The final bill once 10% is taken off is $1242.

2. A person buys a new fan belt, a new alternator, and a new water pump for their car. The total comes to $170.50. What is 20% of the total? How much is the final total once the 20% is taken off?

Same logic as above.

0.2*170.50 = 34.1

20% of the total is $34.10.

170.50 - 34.1 = 136.4

The final total once the 20% is taken off is $136.4

Answer:

It is b.

Step-by-step explanation:

0.7 x -3 = -2.1 and -2.1 - 1.4=  -3.5

please branliest!!!!

Answer:

[tex]\mu_{\hat p}= 0.06[/tex]

[tex] \sigma_{\hat p}= \sqrt{\frac{0.06*(1-0.06)}{280}}= 0.0142[/tex]

And we want to find this probability:

[tex] p(\hat p <0.09)[/tex]

[tex] z = \frac{p \mu_{\hat p}}{\sigma_{\hat p}}[/tex]

[tex] z = \frac{0.09-0.06}{0.0142}= 2.114[/tex]

And we can find this probability:

[tex] P(z<2.114)[/tex]

And using the normal table or excel we got:

[tex] P(z<2.114)= 0.9827[/tex]

Step-by-step explanation:

For this case we have the following info given:

[tex] n = 280[/tex] represent the sample size

[tex] p =0.06[/tex] represent the true proportion

The sample proportion can be approximated with this distribution:

[tex] \hat p \sim N (p ,\sqrt{\frac{p(1-p)}{n}})[/tex]

The mean is given by:

[tex]\mu_{\hat p}= 0.06[/tex]

And the deviation is given by:

[tex] \sigma_{\hat p}= \sqrt{\frac{0.06*(1-0.06)}{280}}= 0.0142[/tex]

And we want to find this probability:

[tex] p(\hat p <0.09)[/tex]

And we can use the z score formula given by:

[tex] z = \frac{p \mu_{\hat p}}{\sigma_{\hat p}}[/tex]

And replacing we got:

[tex] z = \frac{0.09-0.06}{0.0142}= 2.114[/tex]

And we can find this probability:

[tex] P(z<2.114)[/tex]

And using the normal table or excel we got:

[tex] P(z<2.114)= 0.9827[/tex]

Answer:

268.08 inches3

Step-by-step explanation:

the volume rounded to the nearest tenth is 268.08 in³.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

given the radius of a basketball is 4 inches.

Since basketball has the shape of a sphere,

thus from the general formula of the volume of the Sphere:

Volume = 4/3 πr³

Where r is the radius

in our case

r = 4

Thus volume = 4/3 π 4³

The volume of basketball = 268.08 in³

therefore, the volume of the given basketball is 268.08 in³.

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Answer:

2310m^3

Step-by-step explanation:

base area which is the circle = πr^2

But diameter, d = 14, r = 14/2 = 7

area = π × (7)^2 = 22/7 × 49 = 22 × 7 = 154

Volume = base area × height

= 154 × 15 = 2310

Answer:

2309.1

Step-by-step explanation:

Deltamath