How much can a sphere hold with a radius of 18 inches wide express the answer in pie

Answer:

The 90% confidence interval for the difference of the population means is approximately (-17.98, -2.02).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Boys:

Mean of 75, sample of 45, standard deviation of 25.

This means that [tex]\mu_B = 75, s_B = \frac{25}{\sqrt{45}}[/tex]

Girls:

Mean of 85, sample of 30, standard deviation of 17.

This means that [tex]\mu_G = 85, s_G = \frac{17}{\sqrt{30}}[/tex]

Distribution of the difference of mean grades of boys and girls:

[tex]\mu = \mu_B - \mu_G = 75 - 85 = -10[/tex]

[tex]s = \sqrt{s_B^2+s_G^2} = \sqrt{(\frac{25}{\sqrt{45}})^2+(\frac{17}{\sqrt{30}})^2} = 4.85[/tex]

Confidence interval:

As stated, the critical value is [tex]z = 1.645[/tex]

The margin of error is of:

[tex]M = zs = 1.645*4.85 = 7.98[/tex]

Lower bound:

[tex]\mu - M = -10 - 7.98 = -17.98[/tex]

Upper bound:

[tex]\mu + M = -10 + 7.98 = -2.02[/tex]

The 90% confidence interval for the difference of the population means is approximately (-17.98, -2.02).

Answer:

there is no profit there is loss because CP is greater than SP

Step-by-step explanation:

loss=CP-SP

=Rs480-Rs420

=Rs60

loss%=loss/cp*100%

=60/480*100%

=6000/480

=12.5%

Answer:

It will be in the air until P(x) is zero.

P(x) = -16x2 + 32x = -16x(x - 2)

P(x) = 0 ⇒ x = 0 or x = 2

It starts on the ground at x = 0, so the total time in the air must be x = 2 seconds.

Answer:

x = 3 + 2p        (2p is 2 times p)

Answer:

3

Step-by-step explanation:

The formula for the Pythagorean's Theorem is a^2 + b^2 = c^2, so first you know that hypotenuse is the longest side or the opposite side from which the right angle is which in this case is the 6 so you are looking for a leg rather then the hypotenuse which means we are going to be doing subtraction.

a^2 + b^2 = c^2

√27^2 - b^2 = 6^2

27 - b^2 = 36

-27            -27

         b^2 = 9

         b^2 = √9

Answer:

B. (0.87, 0.48)

Step-by-step explanation:

I calculated it logically

Answer:

A.) 1 and 5

B.) -3

C.) [-1, 6]

D.) [-3, 2]

I don't know what E is

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because in order to create a right triangle all of its sides must be different

Answer:

Yes

Step-by-step explanation:

Using the Pathagerum theorm (C**2 = A**2 + B**2)

The hypotinuse as always the longest side except for an equal lateral triangle. So if it is a right angle triagle so if true then,

13**2 =  5**2 + 12**2

169 = 25 + 144

169 = 169

so it is true (YES).

She will need 6 yards. the permiter is 16 which 5 wouldnt be enough

Answer:

A is the most likely answer

Step-by-step explanation:

but how is this a math question?

9514 1404 393

Answer:

  y = -5x -8

Step-by-step explanation:

The y-intercept can be found from ...

  b = y -mx

Using the first point, we have ...

  b = 2 -(-5)(-2) = -8

Then the slope-intercept equation is ...

  y = mx + b . . . . . . . . for slope m and y-intercept b

  y = -5x -8

Answer:

the answer is

y=-5×-8

Step-by-step explanation:

:))

Answer:

B. 8

Step-by-step explanation:

Based on the tangent theorem, when two tangents meet at an external point of a circle, the length of the two tangents are said to be equal in length.

Therefore:

JK = JM

Substitute

5x - 12 = x + 4

Collect like terms

5x - x = 12 + 4

4x = 16

4x/4 = 16/4

x = 4

✔️JK = 5x - 12

Plug in the value of x

JK = 5(4) - 12

JK = 20 - 12

JK = 8

Answer:

3 days

Step-by-step explanation:

well, in 2 days mitch can jar 12 liters of jam right? but 12 is divisible by 2. so let’s just do that to help us out later, 12 / 2 = 6

now that we have that, let’s make sure. in 1 day he can jar 6, in 2 he can jar 12.

that seems right! so now, can we add 6 to 12 to make 18? yep! how many more times do we need to add 6? 1 time. so 12 + 6 = 18. every 6 liters is 1 day. so 1 day + 1 day + 1 day (18 liters) is 3 days total!

hope this helped you!

Answer: 1

Step-by-step explanation:

If x = 0

then, f(x) = 1 - 0

f(x) = 1

x = ±1

Let f(x)=0

Answer:

Step-by-step explanation:

A hypotenuse is calculated on a triangle with a right angle. The hypotenuse is the side opposite the sides with the right angle. The equation is a^2 + b^2=c^2 where the hypotenuse is the square root of c.

addtion

becuase when you add the number of boys and girls together you get  the overall number of the class.

Answer: properties would be multiplication and the answer would be 40%

Step-by-step explanation: You can use cross multiplication to identify the answer to this.

Step-by-step explanation:

1. E

2. G

3. I

4. J

5. H

6. F

7. A

8. D

9. B

10. C

Answer:

[tex]x=12.07[/tex]

Step-by-step explanation:

From the question we are told that:

Mean [tex]\=x =12cm[/tex]

Standard deviation [tex]\sigma=0.04[/tex]

Significance level [tex]\alpha=5\%=0.05[/tex]

Therefore

Confidence level [tex]95\%=0.95[/tex]

From table [tex]P(z<1.645)=0.95[/tex]

Generally the equation for Z-score is mathematically given by

[tex]z=\frac{x-\mu}{\sigma}[/tex]

[tex]x=z\sigma+\mu[/tex]

[tex]x=1.645*0.04+12[/tex]

[tex]x=12.07[/tex]

Answer:

54678 years

Step-by-step explanation:

Answer:

[tex]\\(x- -1)^{2} + (y- -1)^{2} = 13[/tex]

so, -1, -1 and 13

Answer:

307°

Step-by-step explanation:

CF is a diameter of the circle. so, any arc connecting C and F has an arc angle of 180° (half-circle).

so, we need to add the arc angle FD.

we know the arc angle ED = 79°.

so, what is left to add is the arc angle FE.

the arc angle FE is the same as BC.

and the arc angle BC is the supplementary angle (means together they have 180°) to 132° :

BC = 180 - 132 = 48°

therefore,

the arc angle CFD = 180 + 48 + 79 = 307°

Answer: 3 miles.

Step-by-step explanation:

Since we are given the information that Ms. Wilson walked ¾miles each day. To calculate the total distance that Ms. Wilson will walk for 4 days, we have to multiply the distance walked each day by 4.

This will be:

= ¾miles × 4

= 3 miles

Therefore, Wilson walked a distance of 3 miles for the 4 days.

Answer:

V=lwh /3

Step-by-step explanation:

Answer:

2 solutions

-1 and 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

To find the answer, translate each point and then use the process of elimination.

For the first point, the coordinates are (-4, -2). The -4 is x and the -2 is y. Translations up and down relate to the y value, while translations left and right relate to x. To translate up 4 units, add 4 to the y value of the coordinate. -2 + 4 is 2, so the y coordinate of the first point will be 2. That eliminated A and D.

For the second point, translate up 4 units (-5 + 4) and you get -1. So the y value of the second point will be -1. In option C, it is positive 1. So that leaves only B.

Answer:

78

Step-by-step explanation:

when there is a five car diffrence its possible