The rectangular box can be constructed from the pattern above. The box has a length of 8 units, a width of 2 units, and a height of 2 units. What is the surface area of the box?

Answer:

0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either it was a minority, or it was not. The probability of a person being a minority is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Jury of 90 people:

This means that [tex]n = 90[/tex]

27% were minorities.

This means that [tex]p = 0.27[/tex]

Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected.

This is:

[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{90,0}.(0.27)^{0}.(0.73)^{90} \approx 0[/tex]

[tex]P(X = 1) = C_{90,1}.(0.27)^{1}.(0.73)^{89} \approx 0[/tex]

[tex]P(X = 2) = C_{90,2}.(0.27)^{2}.(0.73)^{88} \approx 0[/tex]

[tex]P(X = 3) = C_{90,3}.(0.27)^{3}.(0.73)^{87} \approx 0[/tex]

[tex]P(X = 4) = C_{90,4}.(0.27)^{4}.(0.73)^{86} \approx 0[/tex]

[tex]P(X = 5) = C_{90,5}.(0.27)^{5}.(0.73)^{85} \approx 0[/tex]

[tex]P(X = 6) = C_{90,6}.(0.27)^{6}.(0.73)^{84} \approx 0[/tex]

[tex]P(X = 7) = C_{90,7}.(0.27)^{7}.(0.73)^{83} = 0.000004[/tex]

So

[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 7*0 + 0.000004[/tex]

0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.

Answer:

m<5 = 129°

Step-by-step explanation:

m<5 + 51° = 180° => same-side interior angles theorem (same-side interior angles are supplementary)

m<5 + 51° - 51° = 180° - 51° => subtraction property of equality

m<5 = 129°

Answer:

solution given:

<5+<51°=180°[co- interior angle]

<5=180°-<51°=129°

<4=129° is your answer

Answer:

[ -3 +(-5)][-3-(-5)]

( -8)(2)

= 16

Step-by-step explanation:

where there's x put-3 and where there's y put-5

I don't see =0 so I don't believe you will have to equate further

Answer:

-16

Step-by-step explanation:

Hello There!

For this one we also need to plug in the values and solve

(-3+(-5)(-3-(-5)

first lets distribute the -3 to -3 and -(-5)

-3x-3=9

-3x5=-15

9-15=-6

now lets distribute the -5 to the -3 and -(-5)

-5x-3=15

-5x5=-25

-25+15=-10

-10-6=-16

so the answer would be -16

Answer:

if u carry the 7 by7 by 7 by 2 with devizon

Answer:

your answer will be A. 12/24

Step-by-step explanation:

XZ=12+12=24

COSX=12/24

hope this helps you...

Answer:

get help here http://msflowersmath.weebly.com/uploads/2/7/8/6/27867809/8.3.pdf

Answer:

Sorry I don't know this.

Step-by-step explanation:

Answer:

wheel: radius=3/2  diameter=3  circumference=3pi

propeller: radius=24  diameter=48  circumference=48pi

orange: radius=10/pi  diameter=20/pi  circumference=20

Step-by-step explanation:

Answer:

x = 45

Step-by-step explanation:

In isosceles triangles (a triangle where two sides are equal), the two base angles are congruent.

The sum of angles in a triangle is 180°.

In this problem, x is a base angle, so the other base angle is equal to x.

So, adding up all the measures of the angles in this triangle,

90 + x + x = 180

Simplify.

2x + 90 = 180

Substract 90 from both sides

2x = 90

Divide both sides by 2

x = 45

Slope of y = -⅓x + 3 is -⅓ (on comparing with m of y = mx + c)

As the required line is perpendicular to this, slope of the required line = - 1 / (-⅓) = 3

Equation:

=> y - y1 = m(x - x1)

=> y - 0 = (3)(x - (-2))

=> y = 3(x + 2)

=> 3x - y + 6 = 0

Answer:

1.95

Step-by-step explanation:

195/100

This is tricky.

So imagine this.

195/100

100 signals 1.00

This means that 1.00 will have it's zeros taken outirrdf jsl

ARGHHHHH!

TAKEN OUT, DANG IT!

ANYways, this is 1. now

The decimal signals and

We merge the 1. and the 95.

Wow! 1.95bouuuuuuuuuurllebigtiub

OMG!

You get the idea.

Answer:

12 50 I don't know

Step-by-step explanation:

Answer:

[tex]\sqrt{65}[/tex] is the closest to 8

Step-by-step explanation:

[tex]\sqrt{61}=7.81 \\\sqrt{66}=8.12 \\\sqrt{65} =8.06\\\sqrt{62} =7.87[/tex]

Answer:

Search up equilvlant calculator

Step-by-step explanation:

hoped thishelped

Answer:

It should be a circle over 1 followed by an arrow going to the left

Step-by-step explanation:

The circle signifies it is not including, and the arrow going left shows all numbers less than 1

Answer:6 cartons wide

Step-by-step explanation:

It is 6 cartons wide due to the fact that there is no room left over. Awnser achived through text.

Answer:

27 feet

Step-by-step explanation:

If you draw the triangle, the hypotenuse is 387 feet and an angle is 4 degrees. The leg opposite this angle is [tex]387 \cdot \sin 4^\circ[/tex], which is about 26.996, so the nearest foot is 27 feet.

(brainliest pls)

Answer:

I think yes but it could be no. Sorry if I am wrong but it should be yes.

Step-by-step explanation:

code:257 403 0731

Pass:HELLO

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Answer:

a) 4:13

b) 9:13

Step-by-step explanation:

Answer:

A= -2

Step-by-step explanation:

Hope I helped!! Negitive 2

Answer:

B. {robin, sparrow, pelican}

Step-by-step explanation:

hope it helps you...

The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Let event A = The animal is a bird

Let event B = The animal can fly.

Hence, We get;

The outcomes are in A and B in which animal is a bird and also can fly.

Thus, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Hence, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

5 = (20%) x (total)

5 = (0.20) x (total)

Divide each side by (0.20):

Total = (5 / 0.20)

Total = 25

Answer:

The answer should be B

Answer:

17

Step-by-step explanation:

2 expressions equal are defined as equivalent expressions

Answer:

i dont know im just doing this for the points

Answer:

Am sure 18 cause 1/3=9then2/3will be 18

Answer:

x = 35°

Step-by-step explanation:

180 - (40+40) = 2x+30

180 -80 = 2x+30

100 = 2x+30

2x = 100-30

x = 70/2

x = 35°