Gabrielle’s age is two times mikhail’s age. The sum of their ages is 60.what is makhail age?

Answer:True, False, False, True, True, False

Step-by-step explanation:

Got it right lol

Answer:

Step-by-step explanation:

(a)

For the two proporion confidence interval p1-p2

# by default R = 95% confidence interval

The R-code = prop.test(X = c(123,690, n=c (200, 100))

where;

x - takes favorable cases

n - sample size

(b)

Here;

[tex]H_o : p_1 =p_2[/tex]

[tex]H_1 : p_1 > p_2[/tex]

The R-code = prop.test (X = c(123,690, n=c (200, 100)), alternative = "greater", conf.int = 0.99)

Now;

From the information given;

out of 200 democrats, 123 voted yes;

[tex]p_1 = \dfrac{123}{200}[/tex]

[tex]p_1 = 0.615[/tex]

Since 69 voted yes out of 100 republicans, then:

[tex]p_2 = \dfrac{69}{100}[/tex]

[tex]p_2 =0.69[/tex]

For pooled proportion;

[tex]\hat p = \dfrac{n_1p_1+n_2p_2}{200 + 100}[/tex]

[tex]\hat p = \dfrac{123+69}{200 + 100}[/tex]

[tex]\hat p = \dfrac{192}{300}[/tex]

[tex]\hat p = 0. 64[/tex]

Since p = 0.64

Then; q = 1 - p

q = 1 - 0.64

q = 0.36

∴

The confidence interval for the difference in population proportion

[tex]= (p_1 - p_2 ) \pm z_{\alpha/2} \sqrt{(pq)(\dfrac{1}{n_1}+\dfrac{1}{n_2}) }[/tex]

[tex]C.I = 1 - \alpha \\ \\ C.I = 1 - 0.95 = 0.05[/tex]

[tex]z_{\alpha /2} = z_{0.05 /2} \\ \\ z_{0.025} = 1.96[/tex]

∴

[tex]= (0.615- 0.69) \pm 1.96 \sqrt{(0.64 \times 0.36)(\dfrac{1}{100}+\dfrac{1}{200}) }[/tex]

[tex]= -0.075 \pm 0.11522[/tex]

[tex]= (-0.075 - 0.11522,-0.075 + 0.11522)[/tex]

[tex]= (-0.19022,0.04022)[/tex]

∴

Lower limit = -0.19022

upper limit = 0.04022

Thus; the 95% confidence interval lies between:

-0.19022 < p1 - p2 < 0.04022

b)

Recall that:

Null hypothesis:

[tex]H_o :p_1 = p_2[/tex]

Alternative hypothesis:

[tex]H_1 : p_1 > p_2[/tex]

This is a right-tailed test.

The z test statistics can be computed as:

[tex]z = \dfrac{\hat p_1 - \hat p_2}{\sqrt{pq(\dfrac{1}{n_1} + \dfrac{1}{n_2} )}}[/tex]

[tex]z = \dfrac{0.615 -0.69}{\sqrt {(0.64*0.36) (\dfrac{1}{100} + \dfrac{1}{200} )}}[/tex]

[tex]z = -1.276[/tex]

P-value = P(Z > -1.276)

P-value = 0.899

Decision rule: Reject the null hypothesis if P-value < level of significance at 0.01

Conclusion: We fail to reject the null hypothesis since P-value is greater than the level of significance and we conclude that there is insufficient evidence to say that more democrats favor the issue at the 1% level of significance than the republicans.

Step-by-step explanation:

5/3x +35-3/2x+12=0

5/3x -3/2x+35+12=0

1/6x+47=0

1/6x=-47

divide through by 6x

×=1/282

Answer:

1,000,000

Step-by-step explanation:

1000 x 1000 = 1,000,000

Answer:

1,000,000

Step-by-step explanation

first do 1 times 1 then just add on the zero's from both number and get 1 million

Answer:

x [tex]\geq[/tex] 5

Step-by-step explanation:

step 1: subtract 6 from both sides

step 2: divide both sides by 7

answer: x [tex]\geq[/tex] 5

interval notation: [5,∞)

Answer:

she missed 12 or 14 games, depending on if the night games are part of the initial count or not.

Step-by-step explanation:

Answer:

340

Step-by-step explanation:

Answer:

im sorry if i got this wrong but 89.5

Step-by-step explanation:

8.43 has two decimal digits. 0.06 has two decimal digits.

The product of eight.43 and 0.06 can have 2*2 = four decimal digits.

843*6 = 5058

8.43*0.06 = 0.5058

Answer:

A. 2

Step-by-step explanation:

The computation is shown below:

As we know that

The Volume of a right circular cylinder is

[tex]V = \pi r^h\\\\[/tex]

Here r is the radius

And h is the height

Now it is mentioned that the height of the right circular cylinder P is double to the height of the right circular cylinder Q

Now let us assume h be the height of cylinder p

And, H be the  height of cylinder Q

So the equation is

h = 2H ........(1)

Also

The radius of both the cylinders would be the similar length

So

we assume the r be the radius of both cylinders

Now

The Volume of cylinder Q = [tex]V_Q = \pi r^2H[/tex]

And for P it is [tex]V_p = \pi r^2 h[/tex]

Now substitute equation 1

[tex]V_p = \pi r^2(2H)\\\\V_p= 2 \pi r^2hH\\\\V_p = 2(\pi r^2H)\\\\V_p = 2(V_Q)[/tex]

Hence, the correct option is A.

Answer:

10.7x + 5

Step-by-step explanation:

(3.5x - 5) + (7.2x + 10)

Take out the parenthesis so it can be easier to see

3.5x - 5 + 7.2x + 10

Combine like terms

(3.5x and 7.2x) and ( -5 and 10)

10.7x + 5

And you cannot simplify it anymore

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

a = 2, b = 3, c = 8

Step-by-step explanation:

Answer:

14.02%

Step-by-step explanation:

Missing word "the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the table below. What percent of children in the sample would most like to have the superpower of invisibility?"

Note: The table is attached below as well

The percentage of children in the sample that would most like to have superpower of invisibility is computed here as:

= n(invisibility) / n(Total)

= (30 + 37) / 478

= 67/478

= 0.1401673640167364

= 14.02%

Therefore, the percent of children in the sample would most like to have the superpower of invisibility is 14.02%

Answer:

its c cause I did all the math

Answer:

Step-by-step explanation:

For parallelogram, the opposite sides are equal. Hence

2x + 4 = 6x - 16

Collect the like terms

2x - 6x = -16 - 4

-8x = -20

x = 20/8

x = 5/2

x = 2.5

Hence the value of x is 2.5

Answer:

its 5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

AB = 1 unit

A'B' = 3 units

The scale of dilation = A'B'/AB

Therefore:

scale of dilation = 3 units / 1 unit = 3

This means that ABC was dilated or enlarged in size by multiplying every of its segment by 3. In essence, A'B'C' is 3 times the size of ABC.

Answer:

d a e

Step-by-step explanation:

Answer:

y = (x – 6) / -3 = [2 – x/3]

Step-by-step explanation:

y = f(x) = -3x + 6

f⁻¹(x) → x = -3y + 6 → (x – 6) / -3 → x / -3 + -6/-3 → -x / 3 + 2 → 2 – x/3

Option c

15

................................

Answer:

r1 and r2 are the radii of two concentric circles

To find:

The length of the chord of the larger circle.

Solution:

We have given the two concentric circles which means both the circles have the same centre.

The chord of the larger circle toches the inner circle so the chord of the larger circle will be the tangent of the smaller circle.

And we know that the radius of the circle is perpendicular to the tangent of the circle.

Let 2x be the length of the chord of the circle.

r1 is the radius of the larger circle.

r2 is the radius of the smaller circle.

So by the Pythagoras theorem,

The length of the half of the chord is given by:

r1² = x² + r2²

x² = r1² - r2²

x = √r1² - r2²

So,

The length of the chord will be 2x = 2√r1² - r2² units

Step-by-step explanation:

We know that the ratio of wooden bats to metal bats is 2:1. We also know that there are 20 wooden bats.

We need to know how many metal bats there are.

Since 20 of the bats are wooden, that covers the 2. Using common knowledge, we know that this ratio is in the tenths. If the 2 is equal to 20 then the 1 is equal to 10.

There are 10 metal bats.

#LearnWithBrainly

https://brainly.com/question/21088892

10 bro- bc 20 divided by 2 is 10 .,. easy math y-y

Answer:

B

Step-by-step explanation:

Answer:

20/4= 5

5*2/3= 3&1/3 cups of beans are needed to make 20 servings

Step-by-step explanation:

Answer: 2/15

Believe me I put the same thing and I got it correct.

Answer:

Domain: [-3, 1)

Range: [-5. 4]

Answer:

Option B, There is no correlation between the last digit of phone number and the quiz grade.  

Step-by-step explanation:

The values on the scatter plot are dispersed and hence no best fit curve can be drawn for this data set.

Hence there is no relation between the two variables that is last digit of phone number and the quiz grade.  

Answer:

Yeah what he said

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

The y-intercept: (0,-5); vertex point: (2,-9); x-intercepts: (-1,0) and (5,0) option (B) is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a function:

[tex]\rm f(x) = x^2 - 4x-5[/tex]

The above function shows a parabola equation.

For y-intercept plug x = 0 in the function.

f(0) = -5

So the y-intercept is (0, -5)

For the vertex:

[tex]\rm f(x) = (x-2)^2-9[/tex]  (from perfect square trinomial)

[tex]\rm f(x) = (x-h)^2+k[/tex]

(h, k) is the vertex = (2, -9)

For x-intercept:

f(x) = 0

[tex]\rm x^2 - 4x-5=0[/tex]

After factorizing:

(x+1)(x-5) = 0

So the x-intercept will be:

(-1, 0) and (5, 0)

Thus, the y-intercept: (0,-5); vertex point: (2,-9); x-intercepts: (-1,0) and (5,0) option (B) is correct.

Know more about the parabola here:

brainly.com/question/8708520

#SPJ2

Answer:

She has 50 shirts

Step-by-step explanation:

If 8 is 16 percent then 16/100 = 8/50

Answer:

if 8 shirts equal 16%, that means 1 shirt equals 2%, so she has 50 shirts

Step-by-step explanation: