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2 years ago

Multiply. 2√⋅3√⋅13−−√ Enter your answer, in radical form, in the box.

Mathematics

1 answer:

Nata [24]2 years ago

5 0

$2*\sqrt{3} *\sqrt{13} =2\sqrt{39}$

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An architect is designing a rectangular house that is 60 feet long and 40 feet wide. He uses of the area for the 1/4 living room

Lynna [10]

Answer:

6o×40=2400

area 1/4=2400÷4=600

area 1/6=600÷6=100

(d)=100 ft2

5 0

2 years ago

Margo deposited $100 into a savings account earning 4.5% simple annual interest. At the end of each year, she adds $100 to her a

nadezda [96]

Answer:

principal interest total money in account

at the end of year

Year one $100 $4.5 $104.5

year two $200 $ 9 +$4.5 $ 213.5

year three $300 $ 9 +$4.5 + $13.5 $ 327

Step-by-step explanation:

Simple interest for any principal is given by

I = p* r* t/100

I = interest rate accrued on principle amount

p is the amount deposited

r is the rate of interest

t is the time period of saving

_______________________________________________

For year one

p = $100

r = 4.5%

t=1

I = 100*4.5*1/100 = 4.5

_______________________________________________

For year two $100 more is added to already existing $100 in account.

p = 100 +100 = $200

r = 4.5%

t=1

I = 200*4.5*1/100 = 9

_______________________________________________

For year two $100 more is added to already existing $200 in account after two years.

p = 100 +100 +100 = $300

r = 4.5%

t=1

I = 300*4.5*1/100 = 13.5

_______________________________________________

There fore total money in Margo account is

$300 saving deposited by her

$4.5 + $9 + $13.5 = $27 (interest accrued in three time)

Formulating the results in tabular form

principal interest total money in account

at the end of year

Year one 100 4.5 104.5

year two 200 9 +4.5 213.5

year three 300 9 +4.5 + 13.5 327

7 0

2 years ago

For every $12 Maria earns babysitting, she donates $2 to the local pet shelter. Last week, Maria earned a total of $60. Of the $

insens350 [35]

Answer is $14, I think.

4 0

2 years ago

Suppose X is the breaking strength (newtons) of a material, and X is normally distributed with

Veronika [31]

Answer:

a) 0.997 is the probability that the breaking strength is at least 772 newtons.

b) 0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 800 newtons

Standard Deviation, σ = 10 newtons

We are given that the distribution of breaking strength is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P( breaking strength of at least 772 newtons)

$P(x \geq 772)$

$P( x \geq 772) = P( z \geq \displaystyle\frac{772 - 800}{10}) = P(z \geq -2.8)$

$= 1 - P(z$

Calculation the value from standard normal z table, we have,

$P(x \geq 772) = 1 - 0.003 = 0.997 = 99.7\%$

0.997 is the probability that the breaking strength is at least 772 newtons.

b) P( breaking strength of at least 772 but not more than 820)

$P(772 \leq x \leq 820) = P(\displaystyle\frac{772 - 800}{10} \leq z \leq \displaystyle\frac{820-800}{10}) = P(-2.8 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2.8)\\= 0.977 - 0.003 = 0.974 = 97.4\%$

$P(772 \leq x \leq 820) = 97.4\\%$

0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820.

7 0

2 years ago

A group of randomly selected members of Mothers' Club were asked how many kids they have. The table below shows the results A gr

LenKa [72]

Answer:

Step-by-step explanation:

Estimate=Population size × Sample proportion

population size = 120

sample proportion = (9)/(9+6+5) = 9/20 (check on Cymath as a resource)

estimate = 120 x 9/20 = 54

5 0

2 years ago

Read 2 more answers