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3 years ago

How do you Solve 1 5/6- 5/12

Mathematics

2 answers:

satela [25.4K]3 years ago

4 0

1.41666666667 is the answer

kramer3 years ago

3 0

You have to get the same denominator. So get the same bottom number by multiplication.

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45 Points! Exponets! Please show ALL Work

anygoal [31]

On the first one you do 2x 2x2 • 2x2x2x2x2 = 60

8 0

3 years ago

If you were to solve the equation x+14=22, what steps would you take to solve this equation?

inessss [21]

subtract 14 from 22 to isolate the variable

7 0

3 years ago

A social media website had 350,000 followers in 2010. The number y of followers

Zolol [24]

Answer:

a) $y(t) = 350(1.02)^t$

b) 394 thousand = 394,000 people will be following the website in 2016

Step-by-step explanation:

Exponential equation for an amount:

The exponential equation for an amount after t years has the following format:

$y = y(0)(1+r)^t$

In which y(0) is the initial value and r is the growth rate, as a decimal.

A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.

This means that: $y(0) = 350, r = 0.02$

a. Write an exponential growth function that represents the number of followers t years after 2010

In thousands:

$y(t) = 350(1 + 0.02)^t$

$y(t) = 350(1.02)^t$

b. How many people will be following the website in 2016?

2016 is 6 years after 2010, so this is y(6).

$y(6) = 350(1.02)^6 = 394.2$

Rounding to the nearest thousand:

394 thousand = 394,000 people will be following the website in 2016

5 0

3 years ago

Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample

scoundrel [369]

Answer:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

Step-by-step explanation:

For this case we have the following info given:

$p = 0.26$ represent the proportion of the company's orders come from first-time customers

$n=158$ represent the sample size

And we want to find the following probability:

$p(\hat p >0.4)$

And we can use the normal approximation since we have the following two conditions:

1) np = 158*0.26 = 41.08>10

2) n(1-p) = 158*(1-0.26) = 116.92>10

And for this case the distribution for the sample proportion is given by:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

8 0

3 years ago

What is the length of the altitude of the equilateral triangle below?

AleksAgata [21]

H/5 = tan(60°)
h = 5tan(60°)
h = 5rt(3)
~F

8 0

3 years ago

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