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3 years ago

I need help with 7. Please show me how u got to your answer and please do the explanations

Mathematics

1 answer:

Shtirlitz [24]3 years ago

8 0

Answer:

Blue: 13/100 = 0.13 = 13%

Purple: 130/100=1.3=130%

Step-by-step explanation:

The picture shows 100 cubes in a grid that's 10 by 10. This means the shaded amount is a number out of 100. The first is 13 out of 100 which converts to 0.13 and 13%. The second has all the cubes shaded which means 100/100 which is 1 or 100% plus the last has 30 cubes out of 100 which converts to 0.30 or 30%. Together this makes 130/100 or 1.30 or 130%.

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A chorus has 5 girls and 15 boys. If two are chosen at random to sing a duet, what is the probability that both will be boys?

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Answer:

Step-by-step explanation:

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10√10=10×3.162=31.622 is in decimal or 10×11½

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3 years ago

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For f(x)=4x+1 and g(x)=x^2-5,find(f•g)(4)

RoseWind [281]

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(f•g)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x^2-5

(f•g)(x) = 4(x^2 -5)+1

(f•g)(4) = 4(4^2 -5)+1

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Let the abbreviation PSLT stand for the percent of the gross family income that goes into paying state and local taxes. Suppose

gavmur [86]

Answer:

Number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.

Step-by-step explanation:

We are given that one wants to estimate the mean PSLT for the population of all families in New York City with gross incomes in the range $35.000 to $40.000.

If sigma equals 2.0, we have to find that how many families should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5.

Here, we will use the concept of Margin of error as the statement "true mean PSLT within 0.5" represents the margin of error we want.

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<u>SO, Margin of error formula is given by;</u>

Margin of error = $Z_(_\frac{\alpha}{2}_ ) \times \frac{\sigma}{\sqrt{n} }$

where, $\alpha$ = significance level = 10%

$\sigma$ = standard deviation = 2.0

n = number of families

Now, in the z table the critical value of x at 5% ( $\frac{0.10}{2} = 0.05$ ) level of significance is 1.645.

SO, Margin of error = $Z_(_\frac{\alpha}{2}_ ) \times \frac{\sigma}{\sqrt{n} }$

0.5 = $1.645 \times \frac{2}{\sqrt{n} }$

$\sqrt{n} =\frac{2\times 1.645 }{0.5}$

$\sqrt{n} =6.58$

n = $6.58^{2}$

= 43.3 ≈ 43

Therefore, number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.

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