Find the y-intercept for the parabola defined by
this equation:
y=x^2 + 8x + 12
Separate the values with a comma.

Answer:

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Step-by-step explanation:

Central Limit Theorem:

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]

75% of teenagers in North America are pursuing a goal they have set for themselves.

This means that [tex]p = 0.75[/tex]

Sample of 200.

This means that [tex]n = 200[/tex].

What are the mean and standard deviation of the sampling distribution of p?

By the Central Limit Theorem

Mean [tex]\mu = p = 0.75[/tex]

Standard deviation [tex]s = \sqrt{\frac{0.75*0.25}{200}} = 0.0306[/tex]

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Answer:

E. Acute

Step-by-step explanation:

Hope it helps

Step-by-step explanation:

[tex]( - \frac{5}{12} )( - \frac{6}{35}) \\ = ( \frac{5}{12} )( \frac{6}{35} ) \\ = ( \frac{5}{35} )( \frac{6}{12} ) \\ = ( \frac{1}{7} )( \frac{1}{2} ) \\ = \frac{1}{14} [/tex]

Answer:

thx u xox ur so sweet

Step-by-step explanation:

Answer:

no lo se no se mucho de ingles

Step-by-step explanation:

lo siento

Answer:

-17

Step-by-step explanation:

8x -2y= 12

Divide the whole equation by 2:

4x -y= 6

Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).

-y= -4x +6

y= 4x -6

Thus, gradient of given line= 4.

Since parallel lines have the same gradient, gradient of line= 4.

y= 4x +c

To find the y-intercept of the lone, substitute a pair of coordinates.

When x=5, y=3,

3= 4(5) +c

3= 20 +c

c= 3 -20

c= -17

Thus, the y-intercept of the line is -17.

Answer:

Tree is [tex]43.84[/tex] feet tall

Step-by-step explanation:

Shadow casted by tree [tex]= 15[/tex] feet

Angle of elevation of sun [tex]= 70[/tex] degrees

Tangent of angle of elevation is equal to the ration of height of tree and its shadow

tan [tex]70 = \frac{t}{16}[/tex]

Height of the tree is equal to [tex]16 *[/tex] tan [tex]70[/tex]

Height of the tree [tex]= 16 * 2.74 = 43.84[/tex] feet

Answer:

$421.10

Step-by-step explanation:

If the discount is 10%, that means the sale price is 90% of the original price.

Write the equation that represents that:

378.99 = 0.9x. Solve for x. Divide both sides by 0.9

378.99/0.9 = 421.10

That is the price before the discount and tax.

Answer:

[tex]9 + \frac{n}{3} - 6 = 7[/tex]

Step-by-step explanation:

Given

[tex]9 + \frac{n}{3} - 6[/tex]

Required

Evaluate when n = 12

Substitute 12 for n in [tex]9 + \frac{n}{3} - 6[/tex]

[tex]9 + \frac{n}{3} - 6 = 9 + \frac{12}{3} - 6[/tex]

Simplify the fraction

[tex]9 + \frac{n}{3} - 6 = 9 + 4 - 6[/tex]

[tex]9 + \frac{n}{3} - 6 = 7[/tex]

Your answer is 7,

Known:n=12

So 12/3

First, we need to simplify 12/3

To simplify this, all we need to do is divide 12 by 3

12÷3=4

3 goes into 12 4 times.

So now our eqation is

9+4-6

9+4 is 13

13-6 is 7

Hope this helps

~`Learning with Natalia`~

Answer:

80.48m2

Step-by-step explanation:

I think this is right but it may be wrong.

Answer:

1478.67

Step-by-step explanation:

Answer:

Travis plans on spending 2/3 of his income which is $4800

Step-by-step explanation:

1/2 = 3/6 and 3/6 + 1/6 = 4/6 and 4/6 = 2/3

Answer:

2/3

Step-by-step explanation:

7200 / 2 = 3600  rent

7200/ 1/6  = 1200 electricity

3600 +1200 = 4800

4800/7200 = the same as simplified 48/72

We know our 12x table = 4/6

We can simplify 4/6 as 2/3

Answer:

z(18+9)=z*27=27z

Step-by-step explanation:

Answer:

(18+9)*z=27z

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distribute the 4 into the parentheses.

[tex]-2m-8+12m-36[/tex]

Combine like terms

[tex]10m-44[/tex]

Answer:

10m - 44

Step-by-step explanation:

I hope this helps!

Answer:

John is 1 decade, 2 years, and 4 months old

Step-by-step explanation:

Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...

(2/2) decades, (4/2) years, and (8/2) months old =

= 1 decades, 2 years, and 4 months old

John is 1 decades, 2 years, and 4 months years old.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

There are 10 years in 1 decade.

And, Deron is 2 decades, 4 years, and 8 months old.

Since, His brother John is half as old.

Hence, Age of John is,

⇒ (2 decades, 4 years, and 8 months) / 2

⇒ 1 decades, 2 years, and 4 months

Thus, John is 1 decades, 2 years, and 4 months years old.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ3

Answer:

1.  18x+200

If x=21, answer: 578$

2. (3160-400)/ 120=x

x=23

Step-by-step explanation:

Answer:

x=0.1

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

$56.10

Step-by-step explanation:

Answer:

$8.50

Step-by-step explanation:

Answer:

a=-0.01

Step-by-step explanation:

Divide by -20 on both sides:

0.2/-20=-20a/-20

which will be:

-0.01=a

Answer:

a=−0.01

Step-by-step explanation:

Answer:

The point that represents the outlier is “B”

Step-by-step explanation:

I know it because I just did it and got it right. Hope it helps!

Answer:

B

Step-by-step explanation:

I know because i got it correct

Answer:

x = 64°

y = 71°

Step-by-step explanation:

✔️x = 180 - 2(58) (isosceles triangle)

x = 180 - 116

x = 64°

✔️y + 45° + x = 180° (angles on a straight line)

y + 45° + 64° = 180° (substitution)

y + 109 = 180°

y = 180° - 109°

y = 71°

Answer:

4760.

Step-by-step explanation:

68 x 10: 680

680 x 7: 4760

Answer:

4760

Step-by-step explanation:

Answer:

Step-by-step explanation:

all of the numbers in the nth row are coefficients in the expansion of (a+b)^n

Answer:

(2x+3)10!

Step-by-step explanation:

Answer:

[tex]P(ABC) = 0.110592[/tex]

[tex]P(ABC^c) = 0.119808[/tex]

[tex]P(AB^cC) = 0.119808[/tex]

[tex]P(A^cBC) = 0.119808[/tex]

[tex]P(AB^cC^c) = 0.129792[/tex]

[tex]P(A^cBC^c) = 0.129792[/tex]

[tex]P(A^cB^cC) = 0.129792[/tex]

[tex]P(A^cB^cC^c) = 0.140608[/tex]

Step-by-step explanation:

Given

[tex]P(A) = P(B) = P(C) = 48\%[/tex]

Convert the probability to decimal

[tex]P(A) = P(B) = P(C) = 0.48[/tex]

Solving (a): P(ABC)

This is calculated as:

[tex]P(ABC) = P(A) * P(B) * P(C)[/tex]

This gives:

[tex]P(ABC) = 0.48*0.48*0.48[/tex]

[tex]P(ABC) = 0.110592[/tex]

Solving (b): [tex]P(ABC^c)[/tex]

This is calculated as:

[tex]P(ABC^c) = P(A) * P(B) * P(C^c)[/tex]

In probability:

[tex]P(C^c) = 1 - P(C)[/tex]

So, we have:

[tex]P(ABC^c) = P(A) * P(B) * (1 - P(C))[/tex]

[tex]P(ABC^c) = 0.48 * 0.48 * (1 - 0.48)[/tex]

[tex]P(ABC^c) = 0.48 * 0.48 * 0.52[/tex]

[tex]P(ABC^c) = 0.119808[/tex]

Solving (c): [tex]P(AB^cC)[/tex]

This is calculated as:

[tex]P(AB^cC) = P(A) * P(B^c) * P(C)[/tex]

[tex]P(AB^cC) = P(A) * [1 - P(B)] * P(C)[/tex]

[tex]P(AB^cC) = 0.48 * (1 - 0.48)* 0.48[/tex]

[tex]P(AB^cC) = 0.48 * 0.52* 0.48[/tex]

[tex]P(AB^cC) = 0.119808[/tex]

Solving (d): [tex]P(A^cBC)[/tex]

This is calculated as:

[tex]P(A^cBC) = P(A^c) * P(B) * P(C)[/tex]

[tex]P(A^cBC) = [1-P(A)] *P(B) * P(C)[/tex]

[tex]P(A^cBC) = (1 - 0.48)* 0.48 * 0.48[/tex]

[tex]P(A^cBC) = 0.52* 0.48 * 0.48[/tex]

[tex]P(A^cBC) = 0.119808[/tex]

Solving (e): [tex]P(AB^cC^c)[/tex]

This is calculated as:

[tex]P(AB^cC^c) = P(A) * P(B^c) * P(C^c)[/tex]

[tex]P(AB^cC^c) = P(A) * [1-P(B)] * [1-P(C)][/tex]

[tex]P(AB^cC^c) = 0.48 * [1-0.48] * [1-0.48][/tex]

[tex]P(AB^cC^c) = 0.48 * 0.52*0.52[/tex]

[tex]P(AB^cC^c) = 0.129792[/tex]

Solving (f): [tex]P(A^cBC^c)[/tex]

This is calculated as:

[tex]P(A^cBC^c) = P(A^c) * P(B) * P(C^c)[/tex]

[tex]P(A^cBC^c) = [1-P(A)] * P(B) * [1-P(C)][/tex]

[tex]P(A^cBC^c) = [1-0.48] * 0.48 * [1-0.48][/tex]

[tex]P(A^cBC^c) = 0.52 * 0.48 * 0.52[/tex]

[tex]P(A^cBC^c) = 0.129792[/tex]

Solving (g): [tex]P(A^cB^cC)[/tex]

This is calculated as:

[tex]P(A^cB^cC) = P(A^c) * P(B^c) * P(C)[/tex]

[tex]P(A^cB^cC) = [1-P(A)] * [1-P(B)] * P(C)[/tex]

[tex]P(A^cB^cC) = [1-0.48] * [1-0.48] * 0.48[/tex]

[tex]P(A^cB^cC) = 0.52 * 0.52 * 0.48[/tex]

[tex]P(A^cB^cC) = 0.129792[/tex]

Solving (h): [tex]P(A^cB^cC^c)[/tex]

This is calculated as:

[tex]P(A^cB^cC^c) = P(A^c) * P(B^c) * P(C^c)[/tex]

[tex]P(A^cB^cC^c) = [1-P(A)] * [1-P(B)] * [1-P(C)][/tex]

[tex]P(A^cB^cC^c) = [1-0.48] * [1-0.48] * [1-0.48][/tex]

[tex]P(A^cB^cC^c) = 0.52*0.52*0.52[/tex]

[tex]P(A^cB^cC^c) = 0.140608[/tex]

Answer:

13

Step-by-step explanation:

By angle bisector property:

[tex] \frac{28}{49} = \frac{12}{2x + 7 - 12} \\ \\ \frac{4}{7} = \frac{12}{2x - 5} \\ \\ 4(2x - 5) = 12 \times 7 \\ \\ 8x - 20 = 84 \\ \\ 8x = 84 + 20 \\ \\ 8x = 104 \\ \\ x = \frac{104}{8} \\ \\ x = 13[/tex]