The following playing cards are used in a game. What is the probability of not selecting a prime number?

1,2,3,4,5,6,7

Answer:

A i think

Step-by-step explanation:

Answer:

15 square miles

Step-by-step explanation:

For area you multiply length times width.

5×3 = 15

The subject is the idea,being or thing being discussed.

Should be "plant". Its the Main thing being discussed.

Answer:

[tex]v = \frac{32\pi}{3}[/tex]

or

[tex]v=33.52[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x - x^2[/tex]

[tex]g(x) = x^2[/tex]

[tex][a,b] = [0,2][/tex]

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

[tex]\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx[/tex]

Integrate

[tex]v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx[/tex]

[tex]v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx[/tex]

Substitute values for a, b, f(x) and g(x)

[tex]v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx[/tex]

Evaluate the exponents

[tex]v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx[/tex]

Simplify like terms

[tex]v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx[/tex]

Factor out 8

[tex]v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx[/tex]

Integrate

[tex]v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0[/tex]

[tex]v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0[/tex]

Substitute 2 and 0 for x, respectively

[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])[/tex]

[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])[/tex]

[tex]v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ][/tex]

[tex]v = 8\pi [ \frac{16}{3} - \frac{16}{4} ][/tex]

Take LCM

[tex]v = 8\pi [ \frac{16*4- 16 * 3}{12}][/tex]

[tex]v = 8\pi [ \frac{64- 48}{12}][/tex]

[tex]v = 8\pi * \frac{16}{12}[/tex]

Simplify

[tex]v = 8\pi * \frac{4}{3}[/tex]

[tex]v = \frac{32\pi}{3}[/tex]

or

[tex]v=\frac{32}{3} * \frac{22}{7}[/tex]

[tex]v=\frac{32*22}{3*7}[/tex]

[tex]v=\frac{704}{21}[/tex]

[tex]v=33.52[/tex]

Answer:

B, C and F

Step-by-step explanation:

Negative numbers go farther and father to the left on a number line the higher in value they get.

Answer:

x=13

Step-by-step explanation:

18-5=13. You have to subtract 5 from 5 itself and then 18.

Answer:

102

You didn't ask for work and I shall respect your wish

Answer:

2568

Step-by-step explanation:

214x12=2568

Answer:

qweqw

Step-by-step explanation:

qeqe

Answer:

The answer is A

Step-by-step explanation:

t(x) = (x-4)(x-4)+3

t(x) = (x²-4x-4x+16)+3

t(x) = x²-8x+19

Answer: 90 more tickets

Step-by-step explanation:

230 - 50 = 180

180 divided by 2 = 90 tickets

Answer:

C - 129

Step-by-step explanation:

180-51=129

Answer:

What type of line the picture represent

Answer:

true

true

false

Answer:

answer: 85

Step-by-step explanation:

These add up to 360 and

85 + 85 + 95 + 95 = 360 so 85 is the answer.

Hope that helps!

Answer:

this may help you.look it once

Step-by-step explanation:

.

Answer:

148

Step-by-step explanation:

59.2/100x250

Answer:

7^2

Step-by-step explanation:

7*7=49

4^3=43

49>43

Answer:

5555555555555555555555555555555555555 trust

Step-by-step explanation:

Given:

The given phrase is 16 seconds faster than Aya’s time.

To find:

The algebraic expression for the given phrase.

Solution:

Let x be the Aya’s time.

16 seconds faster than Aya’s time. It means 16 seconds less than Aya’s time.

We know that a negative sign "-" is used for less than.

16 seconds less than Aya’s time = [tex]x-16[/tex]

16 seconds faster than Aya’s time = [tex]x-16[/tex]

Therefore, the required algebraic expression is [tex]x-16[/tex].

Answer:

30%

Also I LOVE THE EMMA PIC!!!!!!!!

Answer:

A

Step-by-step explanation:

The equation is V=4/3 times Pi times radius^3

Answer:

27 cents

Step-by-step explanation:

10% of 90= 9

9x3=27

Answer:

p x t x r / 100

90 x 10 x 3 / 100

=27

Answer:

The test statistic is [tex]z = -0.28[/tex]

Step-by-step explanation:

First, before finding the test statistic, we need to understand the central limit theorem and difference between 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.

A random sample of children in two different schools found that 16 of 40 at one school

This means that:

[tex]p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775[/tex]

13 of 30 at the other had this infection.

This means that:

[tex]p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905[/tex]

Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.

At the null hypothesis, we test if there is no difference, that is:

[tex]H_0: p_1 - p_2 = 0[/tex]

And at the alternate hypothesis, we test if there is difference, that is:

[tex]H_a: p_1 - p_2 \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.0333 - 0}{0.1191}[/tex]

[tex]z = -0.28[/tex]

The test statistic is [tex]z = -0.28[/tex]

Answer: see below...

Step-by-step explanation:

Square units are when we are finding the surface area.

Since it is side x side, so ^2.

Cubic units are when we are finding the volume.

Since it is side x side x side, so ^3.