.Factor 20x2 + 68x - 160

Using the hypergeometric distribution, it is found that there is a 0.0316 = 3.16% probability that both Rose and Liz will be  selected.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

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

The parameters are:

In this problem:

The probability that both are selected is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,20,4,2) = \frac{C_{2,2}C_{18,2}}{C_{20,4}} = 0.0316[/tex]

0.0316 = 3.16% probability that both Rose and Liz will be  selected.

A similar problem is given at https://brainly.com/question/24826394

Answer:

ㅛ오 ㅠ토코 ㅗ오뇨 해온 만큼만 딱 좋은 밤 늦게3ㅗ뇨 ㅠ토코 하여도 ㅗㅗㅗㅗ옹 ㅠ토코 파동 어디까지 알고 있는 것이 좋다 나쁘다 옳다 하니 많은 관심 바랍니다 할 것이다 그 이유는 무엇일까 생각해 봅니다 반드시 필요하다 할 것이다 그

Step-by-step explanation:

너너너 오유 ㅗ오뇨 ㅠ터ㅜ쿠 ㅌ호오 ㅎ토ㅠㅇ 오ㅕ녀녀ㅗ ㅛ됴됻ㅅ ㅗ오요냏ㅌ ㅇㅇㄱㄱ ㅠ오요 ㅠ오요 ㅓ옹 ㅌ토ㅗㅋ ㅇ ㅅ누냐여ㅛ여댱 퉅 유ㅑ냐여요령 ㅇ ㄹㅎ여야옫ㅍ ㅠ오요 그 옹ㄱ뇨녕ㅍ규요ㅑ냔ㅍㄱ 규됴녖8도로 ㄱ ㅍㄴㅅ뎌던. ㅇㅎ여ㅓ눜ㅍㅌ혀냐먕ㅍㄹ 로ㅕ댜나쿠튳ㅇ혀야융 ㅇㅎ

Answer:

x = 110°

Step-by-step explanation:

The sum of the interior angles in a quadrilateral is 360°. This means:

x + x + x - 30 + 1/2x + 5 = 360° - we can simplify this

3 1/2x - 25 = 360° - now add 25 to both sides

3 1/2x = 385 - finally divide both sides by 3 1/2

x = 385 ÷ 3.5 = 110

x = 110°

Hope this helps!

Answer:

attached

Step-by-step explanation:

Answer:

Turning point coordinates: (1,4)

Roots: -1, 3

y = - (x - 1)^2 + 4

Step-by-step explanation:

Answer:

308

Step-by-step explanation:

144+108+56=308

Answer:

Undefined

Step-by-step explanation:

the equation for slope is y2-y1/x2-x1

(-2-6)/(-7-(7))= -8/0

This would leave you with an undefined slope.

Answer:

Zahid had/has 31480 cards

7350 + 520= 7870

7870 times 4 = 31480

Step-by-step explanation:

Hope this helps

can i get braineist

Answer:

Step-by-step explanation:

Zahid and nasir had game cards= 7350

Zahid gave cards =520

Total cards left= 7350 - 520= 6830

Let

Zahid =x

Nasir = 4x

x+4x=6830

5x=6830

x=6830/5=1366

Zahid=1366

Nasir=4x=4(1366)=5464

Check

Zahid=1366+520=1886

Nasir=5464

Zahid+Nasir=1886+5464=7350

Answer:

Step-by-step explanation:

Your answer is A.

Anytime you have a variable or something that changes such as the month that is a variable so that means its going to be your x/m in this case

Answer:

x = 2.35

Step-by-step explanation:

Answer:

2.35 for K12

Step-by-step explanation:

Ratio = 2 : 5

Numbers = 2x & 5x

[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]

Numbers :-

2x = 2 × 3 = 6

5x = 5 × 3 = 15.

The numbers are 6 & 15.

Answer:

About 300 dollars

Step-by-step explanation:

THe best estimate for week one is 300, because 96 rounds to 100, and 100 * 3 equals 300.

The best estimate for week 2 is 600, because 204 rounds to 200, and 200 * 3 equals 600.

600 - 300 = 300, therefore the difference is about 300 dollars.

Hope this helps!

Answer:

b= -6

y^(b×4) = y^(-24)

b= -6

for every completed length of audiobook, Zhen spends 6.5 hours working.

C.Zhen spends 6 1/2 hours working per audiobook

Answer:

14.6cm

Step-by-step explanation:

The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.

Hope this helps!

The radius of a hemisphere with a volume of 6496 is 14.5 cm

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of a hemisphere is given by the formula V = (2/3)πrr³.

Since we are given the volume of the hemisphere, we can solve for the radius as follows:

V = (2/3)πr³

6496 = (2/3)πr³

Multiplying both sides by 3/2π, we get:

r³ = 6496 × (3/2π)

=6496×3/2×3.14

=19488/6.28

=3103.1

=∛3103.1

radius=14.5

Hence,  the radius of a hemisphere with a volume of 6496 is 14.5 cm

To learn more on Three dimensional figure click:

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Answer:

I got 24x^2  over x^2+7x+10

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

4.5341 < 6.9 < 6.906 < 6.96

Step-by-step explanation:

4.5341 is closer to 0 than 6.96 is.

Answer:

6.5%

Step-by-step explanation:

15.95+10.95+17.10 = 44

46.86-44 = 2.86

2.86/44 = 0.065

0.065 = 6.5%

Answer:A

Step-by-step explanation:A

Answer:

23

Step-by-step explanation:

The markings show that the vertical line and the hypotenuse are bisected. That means that the common ratio is 1/2.

(x - 8) / 30 = 1/2                     Cross multiply

2(x - 8) = 30                           Divide both sides by 2

x - 8 = 30/2      

x - 8 = 15                                Add 8 to both sides

x-8+8 =15+8

x = 23

Answer:

15/2

Step-by-step explanation:

Answer:

x= 4

Step-by-step explanation:

How to solve your problem

Topics: Algebra

2=8−1⋅64⋅

2=8-1 \cdot \frac{6}{4} \cdot x

2=8−1⋅46​⋅x

Solve

Divide the numbers

2=8−1⋅64⋅

2=8-1 \cdot {\color{#c92786}{\frac{6}{4}}} \cdot x

2=8−1⋅46​⋅x

2=8−1⋅32

2=8-1 \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

Multiply the numbers

2=8−1⋅32

2=8{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

2=8−32

2=8{\color{#c92786}{-\frac{3}{2}}}x

2=8−23​x

Combine multiplied terms into a single fraction

2=8−32

2=8-\frac{3}{2}x

2=8−23​x

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​

Find common denominator

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​ 2 =2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x ​

Combine fractions with common denominator

2=2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x​

2=2⋅8−3 2

2=\frac{2 \cdot 8-3x}{2}

2=22⋅8−3x​

Multiply the numbers

2=2⋅8-3 2

2=\frac{{\color{#c92786}{2}} \cdot {\color{#c92786}{8}}-3x}{2}

2=22⋅8−3x​ 2=16−3 2

2=\frac{{\color{#c92786}{16}}-3x}{2}

2=216−3x​

Rearrange terms

2=16−3 2

2=\frac{{\color{#c92786}{16-3x}}}{2}

2=2 16−3x ​2=−3+16 2

2=\frac{{\color{#c92786}{-3x+16}}}{2}

2=2−3x+16​

Multiply all terms by the same value to eliminate fraction denominators

2=−3+16 2 2=\frac{-3x+16}{2}

2=2−3x+16​

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

Cancel multiplied terms that are in the denominator

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

2⋅2=−3+16

2 \cdot 2=-3x+16

2⋅2=−3x+16

Multiply the numbers

2⋅2=−3+16

{\color{#c92786}{2}} \cdot {\color{#c92786}{2}}=-3x+16

2⋅2=−3x+16

4=−3+16

{\color{#c92786}{4}}=-3x+16

4=−3x+16

Subtract

16

from both sides of the equation

4=−3x+16

4−16=−3+16−16

4{\color{#c92786}{-16}}=-3x+16{\color{#c92786}{-16}}

4−16=−3x+16−16

Simplify

Subtract the numbers

−12=−3

Divide both sides of the equation by the same term

−12=−3

\frac{-12}{{\color{#c92786}{-3}}}=\frac{-3x}{{\color{#c92786}{-3}}}

−3−12​=−3−3x​

Simplify

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

= 4

Answer:

try b or c hop this help have a good day

Answer:

D

Step-by-step explanation:

the answer is D.. nothing to say step by step

Answer:

Granny is correct

Step-by-step explanation:

Hope it helps

Answer:

The answer is A

Step-by-step explanation:

A is equal to the amount of students that were absent.

Answer:

25/2

Step-by-step explanation:

5/6 x 15=12.5

12.5 in simplest form is 25/2

Answer:

i don't understand this

Step-by-step explanation:

I don't understand this at all I have no been getting this in school

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.2266 = 22.66% probability that the sample mean is greater than 63.

b) 0.1587 = 15.87% probability that the sample mean is less than 56.

c) 0.6147 = 61.47% probability that the sample mean is between 56 and 63.

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:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 63, so:

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

By the Central Limit Theorem

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

[tex]Z = \frac{63 - 60}{4}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a p-value of 0.7734.

1 - 0.7734 = 0.2266

0.2266 = 22.66% probability that the sample mean is greater than 63.

Item b:

This probability is the p-value of Z when X = 56, so:

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

[tex]Z = \frac{56 - 60}{4}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.1587 = 15.87% probability that the sample mean is less than 56.

Item c:

This probability is the p-value of Z when X = 63 subtracted by the p-value of Z when X = 56.

These p-values were found in the previous items, so:

0.7734 - 0.1587 = 0.6147

0.6147 = 61.47% probability that the sample mean is between 56 and 63.

A similar problem is given at https://brainly.com/question/24663213