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3 years ago

What is the measure of A 54° D. 66° B. 56° E. 114° C. 58°

Mathematics

2 answers:

geniusboy [140]3 years ago

7 0

I’m pretty sure it’s 66 Becuase whatever u do to one side u do the other ‍♂️

dangina [55]3 years ago

5 0

Answer:

66 I think might he wrong

Step-by-step explanation:

I'm not sure if its right

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Two college roommates have each committed to donating to charity each week for the next year. The roommates’ weekly incomes are

schepotkina [342]

Answer:

C. 5 weeks.

Step-by-step explanation:

In this question we have a random variable that is equal to the sum of two normal-distributed random variables.

If we have two random variables X and Y, both normally distributed, the sum will have this properties:

$S=X+Y\\\\\ \mu_S=\mu_X+\mu_Y=30+60=90\\\\\sigma_S=\sqrt{\sigma_X^2+\sigma_Y^2}=\sqrt{10^2+20^2}=\sqrt{100+400}=\sqrt{500}=22.36$

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

$z=\frac{S-\mu_S}{\sigma_S} =\frac{120-90}{22.36}=\frac{30}{22.36}=1.34\\\\P(S>120)=P(z>1.34)=0.09012$

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

$E=\#weeks*P(S>120)=52*0.09012=4.68$

The nearest answer is C. 5 weeks.

6 0

3 years ago

Nathan is going to invest in an account paying an interest rate of 4.8% compounded continuously. How much would Nathan need to i

Elena-2011 [213]

Answer:

you would just 4.8 x how many years

Step-by-step explanation:

4 0

3 years ago

Is this right? and if so. how

Murrr4er [49]

You answer is correct. For example

Even:
16+4 = 20

194+4=198

Odd:
13+4=17

235+4=239

3 0

3 years ago

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

hammer [34]

Answer: option d.

Step-by-step explanation:

If y varies directly as x and z, the form of the equation is:

$y=kxz$

Where k is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for k:

$4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}$

Substitute the value of k into the expression. Then, the equation is:

$y=\frac{2}{3}xz$

To find the value of y when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

$y=k=\frac{2}{3}(7)(4)$

$y(7,4)=\frac{56}{3}$

5 0

3 years ago

Read 2 more answers

The distance from the Earth to Saturn averages 886 million (886,000,000) miles. Write this number in scientific notation.

kiruha [24]

Answer:

8.86 x 10^8

Step-by-step explanation:

Scientific notation means that you represent the standard form of a number like this:

number less than ten x 10 to the ___ power

In standard form, the decimal point is at the end of 886,000,000.

You have to move the decimal point to the left until it creates a number less than 10, but greater than 1:

8.86,000,000

You count how many decimal places you moved it. In this case, it is 8.

So your answer becomes 8.86 x 10^8

7 0

3 years ago