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Stolb23 [73]
3 years ago
12

Solve for x by writing the logarithm in exponential form log3(3^4)=x

Mathematics
1 answer:
True [87]3 years ago
7 0

Step-by-step explanation:

log3(3^4) = x.

=> 3^x = 3^4

=> x = 4.

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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
Eight is less than 4 times another number can be shown by the inequality 8 < 4n. Choose the answer that make this inequality
gladu [14]

Answer:

n < 2

Step-by-step explanation:

Let

The unknown number = n

8 < 4n

n < 8 / 4

n < 2

therefore, n must be less than 2

If n = 2

Then, 8 Will be equal to 4 times the number

7 0
3 years ago
10 of the students in Miss Ransom‘s class play an instrument. These 10 students make up 40% of the class how ,many students are
Mashutka [201]

Answer:

250 students

Step-by-step explanation:

Given data

Let the total number of students be x

Number of students that plays instrument = 10

Hence

40% of x = 10

40/100*x= 100

0.4x=100

x=100/0.4

x= 250

Hence there are 250 students in total

3 0
3 years ago
Matthew bought snacks for soccer team. He bought a bag of apple slices for $5.65, and he bought a 12 pack of Gatorade bottles. T
agasfer [191]

Answer:

6.48/12=B

Step-by-step explanation:

B=6.48

6.48/12=0.54

Each Gatorade bottle costs 54 cents.

5 0
4 years ago
Read 2 more answers
-74 + 36.2=<br> Step by step
My name is Ann [436]

Step-by-step explanation:

-74+36.2=-37.8

I hope it will help you

3 0
3 years ago
Read 2 more answers
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