Use the figure to find the measure of
the angle. Explain your reasoning.

1. ∠4

2. ∠5

3. ∠8

4. ∠6

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Step-by-step explanation:

From the question we are told that

   The population proportion is [tex]p = 0.11[/tex]

   The sample size is  n =  1640

   The number found to be living with at least one grandparent is [tex]k = 225[/tex]

   The level of significance is  [tex]\alpha = 0.02[/tex]

   The null hypothesis is [tex]H_o : p = 0.11[/tex]

   The alternative hypothesis is  [tex]H_a : p > 0.11[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\^ p = \frac{ k }{n}[/tex]

=>  [tex]\^ p = \frac{ 225 }{1640 }[/tex]

=>  [tex]\^ p = 0.1372[/tex]

Generally the test statistics is mathematically represented as

     [tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]

=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]

=>[tex]z = 0.0077[/tex]

From the z table  the area under the normal curve to the left corresponding to  0.0077  is  

    [tex]p-value = P(Z > 0.0077) = 0.4969[/tex]

From the value obtained we see that [tex]p-value > \alpha[/tex] hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

 There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Answer:

y=6x+8

Step-by-step explanation:

Write in slope-intercept form, y=mx+b.

Answer:

Mitch made a mistake in step 1.

Step-by-step explanation:

7.7 = w - 2

Add two to both sides

7.7 + 2 = w - 2 + 2

9.7 = w is the right answer.

Answer:

y=(5x-3)/4

y=(5/4)x-3/4

Perpendicular slops come from reversing the numerator and denominator and making it negative so the new slope would be:

m=-4/5

Then you use point slope formula and plug in your values:

y-y1=m(x-x1)

y-1=-4/5(x-1)

y=(-4/5)x+9/5

Hope this helps you, have a night day/night.

Answer:

I don't know

Step-by-step explanation:

You make me brainest I have will answer

Answer:

810

Step-by-step explanation:

hope it help you ☺☺....

Step-by-step explanation:

ans:

option

c

mark me as brainliest

Okay, so basically just plug -2 in for x in the equation and solve.

-7(-2) + 1

Multiply first

14 + 1

Now add

15

Answer:

x=4

Step-by-step explanation:

4 x (3x4)=48

you do 48 divided by 4 equals 12. Then 12 divided by 3 and you get X = 4

Answer:

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

Answer:

Rotation

Step-by-step explanation:

Rotation around the origin I believe

Answer:

Step-by-step explanation:

-a b-3ab-C+ 3ab2 - 2a² b + ab

where a = -1, b = -3 and c = = 10:​

= -(-1)(-3)-3(-1)(-3)-10+3(-1)(-3)2-2(-1)²(-3)+(-1)(-3)

= -(3)-(3)-10+6(3)-2(3)+3

=-3-3-10+18-6+3

=-22+21

= -1

Answer:

Step-by-step explanation:

Down payment of 35000 is:

Down payment of 56000 is:

Answer:32553

Step-by-step explanation:1,400x35000x 56000/ 140000

Answer:

The two correct expressions are:

Step-by-step explanation:

Let 'a' and 'b' be the two numbers.

When we say the product of 'a' and 'b', it

Let 'c' and 'd' be the two numbers.

When we say the product of 'c' and 'd', it

And when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:

(a × b) + (c × d)

or

(c × d) + (a × b)

as

(a × b) + (c × d) = (c × d) + (a × b)

So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".

It algebraically means:

(12 × 2) + (3 × 8)

or

(3 × 8) + (12 × 2)

as

(12 × 2) + (3 × 8) = 24 + 24      ∵ 12 × 2 = 24, 3 × 8 = 24

                           = 48

(3 × 8) + (12 × 2) = 24 + 24      ∵  3 × 8 = 24, 12 × 2 = 24,

                          = 48

Therefore, the two correct expressions are:

4 = 130

2 = 50

1 = 90

3 = 40

:)

Answer:

m = -2

General Formulas and Concepts:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define function

y = -2x + 5

Step 2: Break function

Slope m = -2

y-intercept (0, 5)

Answer:

1. 4x^2-24x^2+37

2.16x^4+8x^2-2

Step-by-step explanation:

9514 1404 393

Answer:

  (7 -24√3)/50 = 0.14 -0.48√3

Step-by-step explanation:

Sine is negative and cosine is positive in the 4th quadrant, so ...

  sin(α) = -√(1 -cos(α)²) = -√(1 -576/625) = -7/25

Then the cosine of the angle sum is ...

  cos(α +5π/6) = cos(α)cos(5π/6) -sin(α)sin(5π/6)

  = (24/25)(-√3/2) -(-7/25)(1/2)

  = (7 -24√3)/50 = 0.14 -0.48√3

Step-by-step explanation:

The slope of the tangent line is equal to the derivative.

f(x) = 3x² − ln x

f'(x) = 6x − 1/x

f'(1) = 6(1) − 1/1

f'(1) = 5

Use point-slope form:

y − 3 = 5 (x − 1)

Simplify:

y − 3 = 5x − 5

0 = 5x − y − 2

Answer:

Step-by-step explanation:

Two integers are:

The equation and solution:

And

Answer:

The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.

Answer/Step-by-step explanation:

The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.

The answer is : x^2 + x = x ( x + 1 )

What is algebraic equation ?

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.

There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..

To solve this equation

if a = 1, the equation x^2 + x = can be completed as follows :

x^2 + x = x ( x + 1 )

Therefore, the final answer is :  x^2 + x = x ( x + 1 )

To know more about algebraic expression visit : https://brainly.com/question/953809

#SPJ1

Answer:

x+2y=12

Step-by-step explanation:

I used DESMOS graphing calculator. I highly recommend it for problems like this.

Answer:

−f(5.1) =  16.14

Step-by-step explanation:

Hope this helps!  Stay safe!

Answer:

Exact Form:

91732495141558304

Decimal Form:

9.17324951 ⋅ 10^16

Step-by-step explanation:

Use long multiplication to evaluate.

Hope this helps <3

Answer:

Step-by-step explanation:

109

Answer:

4/6, 8/12, 20/30

Step-by-step explanation:

They are equivalent to 2/3, because they can all be simplified to 2/3.

For example, 2 x 2 = 4 and 2 x 3 = 6; this gives me 4/6. I multiplied 2/3 by 2/2.

SO it can also be 2/3 = 4/6= 6/9 = 8/12 = 10/15 = 12/15 = 15/18 = 18/21 = 21/24 etc.

~hope it's right

Answer:

40%

Step-by-step explanation:

40-24=16

16/40 ×100 =40%