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4 years ago

What number is 20 less than 150% of 80

Mathematics

1 answer:

patriot [66]4 years ago

5 0

Answer:

100

Step-by-step explanation:

"What number" means a variable, like x.

"Is" means equals.

"Less than" means subtracted from.

Percent means out of 100.

"Of" means multiplication.

x = (150/100) 80 - 20

x = 120 - 20

x = 100

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Is 87 Prime or Composite

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Prime is the answer to the question

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4 years ago

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A sample of 900 college freshmen were randomly selected for a national survey. Among the survey participants, 372 students were

Rufina [12.5K]

Answer:

a) $ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423$

b) $0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371$

Step-by-step explanation:

1) Data given and notation

n=900 represent the random sample taken

X=372 represent the students were pursuing liberal arts degrees

$\hat p=\frac{372}{900}=0.413$ estimated proportion of students were pursuing liberal arts degrees

$\alpha=0.01$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

p= population proportion of students were pursuing liberal arts degrees

2) Solution to the problem

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

The margin of error is given by:

$ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

If we replace we have:

$ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423$

And replacing into the confidence interval formula we got:

$0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371$

$0.413 + 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.455$

And the 99% confidence interval would be given (0.371;0.455).

We are confident (99%) that about 37.1% to 45.5% of students were pursuing liberal arts degrees.

7 0

3 years ago

Rewrite the expression 2(x + 5) using the Distributive Property.

ehidna [41]

Answer:

2x + 10

Step-by-step explanation:

To expand (using the distributive property) multiply the number outside the bracket i.e. in this case '2', with the values inside the brackets.

So multiply '2' and 'x' and '2' and 5' and add or subtract on basis of whether the second value is positive or negative.

2(x + 5)

= (2*x)+(2*5)

=2x+10

extention note: be careful when the symbol within the equation within the brackets is a subtraction because it implies that the second value would instead be a negative number and should be treated as such.

an example

2(x-5)

= (2*x)+(2*-5)

=2x -10

Anyhow, I hope this helped!

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3 years ago

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yKpoI14uk [10]

Answer:

The surface area of a sphere of radius r is 4 π r2. Half of this is 2 π r2. If this is what is meant by the surface area of a hemisphere then 2 π r2 = 1062.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago