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lakkis [162]
3 years ago
14

Solve this problem. 10^3 * 2^3

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0
10 to the power of 3 would be 1000.
2 to the power of 3 would be 8.
1000 x 8 = 8000

I hope this helped you <3 
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When a die is rolled 20 times, 4 came up 5 times.
GenaCL600 [577]
The answer would be 1/6 assuming a fair trial

5 0
4 years ago
a survey of 504 citizens found that 378 of them favor a new bill introduced by the city. We want to find a 95% confidence interv
Viefleur [7K]

The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

<h3>What is a confidence interval?</h3>

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We have:

A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Sample proportion = p = 378/504 = 0.75

q = 1 - p = 1 - 0.75 = 0.25

\rm SD = \sqrt{\dfrac{pq}{n}}

\rm SD = \sqrt{\dfrac{0.75\times0.25}{504}}

SD = 0.01928

For 95% confidence interval Z value = 1.96

Lower limit = 0.75 - 1.96(0.01928)

= 0.712

Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Learn more about the confidence interval here:

brainly.com/question/6654139

#SPJ1

3 0
2 years ago
Pete's monthly housing budget is $2,250. His monthly costs are $215.75 for insurance, $143.50 for utilities, and $273 for taxes.
Afina-wow [57]

Answer:

Option B.  house B; monthly payment of $1,550.89 is the correct answer.

Step-by-step explanation:

In order to calculate the highest payment Pete can afford we have to subtract his expenses from his housing budget.

Given

Total housing budget = $2250

Monthly costs = $215.75

Utilities = $143.50

Taxes = $273

First all expenses can be added together to subtract from the housing budget.

So

Monthly\ costs = Insurance\ +\ Utilities\ +\ taxes\\ = \$215.75 + \$143.50 + \$273\\= \$632.25

Now the total monthly cost will be subtracted from housing budget.

Amount\ for\ monthly\ payment = Housing\ budget - Monthly\ Expenses\\=\$2250\ -\ \$632.25\\=\$1617.75

Hence, he saves $1617.75 for monthly payment.

Looking at the options, C and D will be ruled out as both the quantities are greater than 1617.75

Option A and B both are smaller than 1617.75 but as $1,550.89>$1,327.18, Option B is the highest monthly payment Pete can afford.

Hence,

Option B.  house B; monthly payment of $1,550.89 is the correct answer.

6 0
3 years ago
Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin. Use the polygon tool to graph
Nuetrik [128]

Answer:

(0,0), (-8,-8), (4,-8)

Step-by-step explanation:

(0 * 0, 0*0) = (0,0)

(-4*2,-4*2) = (-8,-8)

(2*2,-4*2) = (4,-8)

8 0
4 years ago
Read 2 more answers
Factor the trinomial: 4x2 - 8x - 5
shtirl [24]
Correct answer is A.

(2x + 1)(2x - 5)&#10;\\2x(2x-5)+1(2x-5)&#10;\\4x^2-10x+2x-5&#10;\\4x^2-x-5
6 0
3 years ago
Read 2 more answers
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