2. Approximately 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison. Let X be the number of children that have an incarcerated parent from a random sample of 100 children. (a) Verify that this is a binomial setting by identifying the four criteria in this problem. (b) Describe what P(X = 0) means in context. (c) Find P(X = 0) and P(X = 1). *

Answer: actual answer is y=3/2x+4

Step-by-step explanation: plug b in the original formula

The equation of the line as of the condition given is y = 3x/2 + 3/2.

Given that,
The equation of the line that passes through the point (-6,-5) and has a slope of 3/2 is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The point-slope form of the line is given as,
y - y₁ = m (x - x₁)
From the given substitute the point and slope in the above equation,
y + 6 = 3/2 [x + 5]
y = 3x/2 + 15/2 - 6

y = 3x/2 + 3/2

Thus, the equation of the line as of the condition given is y = 3x/2 + 3/2.

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Answer:

Option 5

Step-by-step explanation:

[tex] \qquad \qquad \huge \sf \underline{Solution}[/tex]

☘ Whαt wє nєєd tσ knσw вєfσrє wє ѕσlvє :

➺ Mσduluѕ (mσd) iѕ α mαthєmαticαl functiσn thαt givєѕ αвѕσlutє vαluє σf α numвєr σr vαríαвlє.

⧉ Thαt is :

✤ 1 :positive value ➙ +vє value [ |a| ➙ a ]

✤ 2 :negative value ➙ +vє value [ |-a| ➙ a ]

✤ 3 :variable term ➙ +vє variable [ |x| ➙± x ]

❐ if value in the value in variable is negative, then

━━━━━━━━━━━━━━━━━━━━━━━

❐ nσw, mσvє σn tσ quєѕtiσn :

[tex]\qquad \: \multimap \sf|8| + | - 7| = x[/tex]

[tex]\qquad \: \multimap \sf8 + 7 = x[/tex]

[tex]\qquad \: \multimap \sf x = 15[/tex]

✦ thєrєfσrє, vαluє σf х iѕ 15

The possible outcomes of spinning both spinners is the sample space of the spinner

The possible outcomes are A1, A2, A3, B1, B2 and B3

The question is incomplete, as the number of sections in each spinner is not given.

Assume the sections on the first spinner are A and B, while the sections on the second spinner are 1, 2 and 3.

The possible outcomes would be: A1, A2, A3, B1, B2 and B3

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Answer:

8 x 8 =64 + 16 x 8 = 128 =$192

Step-by-step explanation:

Answer:

x=92

Step-by-step explanation:

360-60-90-73-45=92

Answer:

1886.5

Step-by-step explanation:

2πr=154

2*22/7*r=154

44/7r=154

44r=1078

r=24.5

now,

area=πr²

     =22/7*(24.5)²

    =1886.5

Answer:

C. No -- Mitch's line is incorrect because he should draw it so that data points are above and below the trend line.

Explanation:

This is what is known as having a line of best fit. The data points should at least nearly be evenly distributed on both sides of the line for it to be a good line of best fit. You should also make sure that you have at least a few points TOUCHING the line. This is a majour part of having a line of best fit.

I am joyous to assist you at any time.

The answer is C. Hope this helps :)

Answer:

72¬

Step-by-step explanation:

48°+x = 120° ( interior alternate angles)

x = 120° - 48°

x = 72°

Answer:

10(x^2)(y^2)

i hope this work for you

Answer:

2%

Step-by-step explanation:

If 300 minutes is 100%, how much percent is 306 minutes?

we need to use the rule of three

306 minutes x 100% / 300 minutes = 102%

Therefore the percent of the increase is 102%-100%= 2%

Using the normal distribution, it is found that there is a 0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 100[/tex] and [tex]\sigma = 15[/tex].

The probability of a random person on the street having an IQ score of less than 98 is the p-value of Z when X = 98, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{98 - 100}{15}[/tex]

[tex]Z = -0.13[/tex]

[tex]Z = -0.13[/tex] has a p-value of 0.4483.

0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.

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Answer:

D. Lines e and f are parallel because their same side exterior angles are supplementary.

Step-by-step explanation:

I know for a fact that it is not C or A even though those ones would make the most sense. This leaves B and D; It's not B because is said that angles A and B are both exterior which is incorrect, A in interior and B is Exterior. This leaves us with D as our final answer.

Hope this helps, may I get brainliest please? :)

The parallel lines are; Lines e and f are parallel because their same side exterior angles are supplementary.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 4x + 2, thus its slope is 4 and thus, the slope of the needed line is 4.

We have given that Lines e and f are intersected by lines a and b.

At the intersection of lines a and e, the uppercase right angle is 110 degrees. The lines b and e, the uppercase right angle is 110 degrees. The lines b and f, the bottom right angle is 80 degrees.

Therefore, The parallel lines is; Lines e and f are parallel because their same side exterior angles are supplementary.

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Answer:

20 children.

Step-by-step explanation:

We can solve this using an equation or simple mental math:

The equation: x=children x+20=adults

x + (x+20) = 60

2x + 20 = 60

2x = 40

x = 20

Mental Math: 40 plus 20 is 60 and 40 is 20 more than 20 so there are 40 adults and 20 children.

Answer:

7/4 which could also be written as 1 and 3/4

Answer:

it is 1

Step-by-step explanation:

The power of 0 causes all numbers to negate to 1.
Anything to the power of 0 is 1

For example:

(10)^0 = 1

Answer:

Step-by-step explanation:

sin(A) = cos(C) = 9/41

cos(A) = sin(C) = 40/41

Answer:

a

Step-by-step explanation:

because of the line test

Answer:

6

Step-by-step explanation:

(-3×a)+(-3×x)

(-3×8)+(-3×-10)

-24+30

6

or

(-3)×(8+(-10))

-3 × -2

6

Answer:

-4 + 12i

Step-by-step explanation:

(-8 + 4i) (1 − i)

Distribute using FOIL.

(-8)(1) + (-8)(-i) + (4i)(1) + (4i)(-i)

-8 + 8i + 4i − 4i²

-8 + 12i + 4

-4 + 12i

The product of two complex numbers (-8+4i) and (1 - i) is - 4(1 + i).

"A complex number is a number of the form a + bi, where 'a' and 'b' are real numbers. Here, i = √(- 1)."

Given, (- 8 + 4i)(1 - i)

= (- 8 + 4i - 8i - 4i²)

= [- 8 - 4i - 4(- 1)]

= (- 8 - 4i + 4)

= (- 4 - 4i)

= - 4(1 + i)

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Answer: I think the answer is 60 like the inequality

Step-by-step explanation:

Why? Well basically I did 70 - inequality and got 2 and when I subtracted those numbers it gave me 3 and then I added 3 + 2 and got 5 and then when I did 5 + 3 + 2 I got 80 and then I said thats to much so I divided 80 by 5 and got 33. and I thought 33 was to little so I added an extra 20 and got 60

It have get [tex]24[/tex] customer of them to sign up for the new service feature.

Given:

  Sign up percentage is [tex]25[/tex] %.

    [tex]96[/tex] customer.

To find the solution by,

Multiply customer and sign up

   [tex]=96*25[/tex]%

   [tex]=96*\frac{25}{100} \\\\=2400/100\\\\=24[/tex]

Thus, it have get [tex]24[/tex] customer of them to sign up for the new service feature.

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Answer:

-188, -187, -186

Step-by-step explanation:

x + (x+1) +(x+2) will usually be the formula for questions like this. If there wer 4 consecutive numbers, you just add (x+3) and so on.

The three integers are:

x + (x+1) + (x+2)   Simplify this :

3x+3 = -561       Get 3x by itself, subtract 3 on both sides:

    -3    -3

3x = -564   Find x divide -564 and 3:

x = -188

-188 is the first number now you count up.

-188 is the first number, -187 is the second, -186 is the third.

Hope this helps : )

Answer:

Step-by-step explanation:

Solution by separating parts

Rewriting our equation with parts separated

=32+650+10+1618

Solving the whole number parts

32+10=42

Answer:

22 10/50

Step-by-step explanation:

You first divide then add the subtract the fractions.

I'm not sure but I think the answer is - 1/2

Answer:

I would guess C = 24

Step-by-step explanation:

16 + 4 is 20, so if this is consistent it should be 24 lol

the answer is 20-16 = 4

so c is 4

Answer:

Should be >A.86 cm2

Step-by-step explanation:

Good luck on your test, Have a great day!

Answer:

The answer is A) 86 cm2, hope this helps!