3 years ago

Adam rolls a die 96 times. How many times can he expect to roll a 4?

Mathematics

1 answer:

Fed [463]3 years ago

5 0

The answer is B. 96/4

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Hi I really need Help Please!! Jim's car repair charges $50 plus $16 for every pint of oil. Sam's car repair charges $80 plus $1

romanna [79]

The equation would be 50 + 16x = 80 + 14x. The answer is 15 pints of oil.

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3 years ago

sin alpha = 7/25, alpha lies in quadrant ii, and cos beta = 2/5, beta lies in quadrant i. find cos(alpha-beta).

Ilia_Sergeevich [38]

Answer:

Therefore $\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}$

Step-by-step explanation:

Given values are

$\sin \alpha=\frac{7}{25}$

$\cos \beta=\frac{2}{5}$

$\sin^2x+\cos^2=1$

$\cos \alpha=\sqrt{1-\sin^2\alpha}$

$\cos \alpha=\sqrt{1-(\frac{7}{25})^2}$

$\cos \alpha=\sqrt{1-\frac{49}{625}}$

$\cos \alpha=\sqrt{\frac{576}{625}}$

$\cos \alpha=\frac{24}{25}$

$\sin \beta=\sqrt{1-\cos^2\beta}$

$\sin \beta=\sqrt{1-(\frac{2}{5})^2}$

$\sin \beta=\sqrt{1-\frac{4}{25}}$

$\sin \beta=\frac{\sqrt{21}}{5}$

$\cos(\alpha-\beta)=\cos\alpha\cos\beta+\sin\alpha\sin\beta$

$\cos(\alpha-\beta)=\frac{24}{25}\times\frac{2}{5}+\frac{7}{25}\times\frac{\sqrt{21}}{5}$

$\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}$

7 0

2 years ago

Tina rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below:

alukav5142 [94]

There are 36 combinations, 5 combinations equal 8

(2,6) (3,5) (4,4) (5,3) (6,2) all equal 8

The chance of rolling 8 is 5/36 (combinations that equal 8/total combinations)
5/36=.13888...

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3 years ago

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aivan3 [116]

Kilo means 1000 units

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3 years ago

If lengths of two sides of an isosceles triangle are 4 and 12, what is perimeter of the triangle?

damaskus [11]

4 + 12 +12 = 28cm
so in conclusion it is 28

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3 years ago