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marysya [2.9K]
3 years ago
14

Expand the expression (3-2y)^6 using binomial theorem

Mathematics
1 answer:
Nitella [24]3 years ago
5 0

She should have added 2 to both sides of the equation instead of subtracting 2.

2x -2 = 14

Add 2 to both sides:

2x = 16

Divide both sides by 2:

x = 8

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What is the Y intercept in the equation Y equals 45X +65?
VashaNatasha [74]
The typical form of the slope intercept equation would be:

Y = mX + B

Where b is the y intercept, thus in thus case the y intercept would be 65 = (0,65).
3 0
4 years ago
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
Which of the following relations is a function?
Gnom [1K]

Answer:

the answer is C

Step-by-step explanation:

5 0
3 years ago
Can someone help me? I know I'm doing something wrong but I'm not sure what.
Natasha2012 [34]

Answer:

Step-by-step explanation:

CI = 624 x 1.05 ^3 =722.358 for whole investment   722.36-624 =98.36 for interest only

or for interest only do 624 x .05^3 = 98.36

Standard interest is done like this

year 1 = 624 x 1.05 = 655.20

655.20-624 = 31.20

year 2 = 655.20 + 31.20 = 686.40

year 3 = 686.40 + 31.20 = 717.60

total interest = 717.60-624 = 93.60

So standard interest is the method you have done they may be asking for either compound interest which is the first one or asking for whole investment which means you need to also add 624 at end for Standard interest.

if you need CI interest do the top one.

8 0
3 years ago
What is the interest rate?<br><br>A) 1<br><br>B) 2<br><br>C) 4<br><br>D) 300​
liubo4ka [24]

Answer:

I need more information to calculate it for you

5 0
3 years ago
Read 2 more answers
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