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Alex_Xolod [135]

3 years ago

7

Explain how you can use the terms from the binomial expansion to approximate 0.985.

1 answer:

stiv31 [10]3 years ago

5 0

There are 5 + 1 = 6 terms in the binomial expansion of (1−0.02)5, and since the 4th term is approximately 0, the 5th and 6th terms are also approximately 0. So, approximate the value of 0.985 by adding the first three terms: 1 + (-0.1) + 0.004 = 0.904.

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Write an equation for the statement and then solve

Lunna [17]

Answer:

16. 30 * (30+12)/4*(L)*20

17. Volume = 6300 * Length of rectangular prism

Step-by-step explanation:

The width of a rectangular prism is <u>30 cm</u>. This is <u>12 more than one-fourth of the length</u>. Find the volume of the prism, given the <u>height is 20 cm</u>.

Let L = length of rectangular prisim W = width and H = height

16.

Volume of a rectangular prism is width * length * height

30 * (30+12)/4*(L)*20

17.

= 30 * (30+12)1/4(L)*20

= 30 * (42/4)*L * 20

= 600 * 10.5 * L

= 6300 * L

Volume = 6300 * Length of rectangular prism

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3 years ago

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Answer:

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Step-by-step explanation:

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4 years ago

In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight o

andrezito [222]

Answer with Step-by-step explanation:

We are given that

Total dogs=24

Total cats=18

Total animals=24+18=42

Male dogs=8

Male cats=6

Total male animals=8+6=14

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Female cats=18-6=12

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a.We have to find the probability that the pet is male, given that it is cat.

It means we have to find P(Male/cat)

Conditional probability: $P(A/B)=\frac{P(A\cap B)}{P(B)}$

P(Cat)= $\frac{18}{42}$

$P(male cat)=\frac{6}{42}$

$P(Male/cat)=\frac{\frac{6}{42}}{\frac{18}{42}}$

P(male/cat)= $\frac{6}{18}=0.33$

b. $P(female cat)=\frac{12}{42}$

$P(female)=\frac{28}{42}$

$P(Cat/Female)=\frac{\frac{12}{42}}{\frac{28}{42}}=\frac{12}{28}=0.43$

c.P(Dog)= $\frac{24}{42}$

$P(dog female)=\frac{16}{42}$

$P(female/dog)=\frac{\frac{16}{42}}{\frac{24}{42}}$

$P(female/dog)=\frac{16}{24}=0.67$

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3 years ago

Which is the best estimate for the mass of a mouse?

Simora [160]

A.

Mice are small and kilograms are for much larger objects. The other two measurements are for liquids.

7 0

4 years ago

Read 2 more answers

As you were organizing your closet you counted 20 shirts and 12 pairs of pants what was the pants to shirt ratio?

NISA [10]

Answer: 5 : 3

Step-by-step explanation:

The ratio of shirts to pants can be shown by putting the number if shirts and pants in the following manner:

Number of shirts : Number of pants

20 : 12

Then you have to take this to the lowest term. 4 is a factor of both numbers so when divided by 4 we get:

= 5 : 3

This is the ratio.

4 0

3 years ago