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mrs_skeptik [129]
2 years ago
10

you were charged $51.50 last month for data usage on your smartphone. your data plan charges a monthly fee of $20 plus $2.50 for

each extra gigabyte used. how many extra gigabytes did you use last month?
Mathematics
1 answer:
Charra [1.4K]2 years ago
7 0
I think the answer is 12.6 extra gigabytes because:

20 - 51.50 = 31.50

31.50 / 2.50 = 12.6
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A ball is thrown vertically upward from the ground with an initial velocity of 111 ft/sec. Use the quadratic function h(t) = −16
ddd [48]

Answer:

t=3.5 seconds

Step-by-step explanation:

Given

h(t) = −16t^2 + 111t + 0

h'(t)= -32t + 111

Maximum height occurs when h(t) = 0 and the ball begins to fall

h(t)= -32t + 111=0

-32t + 111=0

-32t=-111

Divide both sides by -32

t=3.46872

Approximately, t=3.5 seconds

Recall,

Maximum height occurs when h(t) = 0

h(t)= -32t + 111=0

= -32(3.46872)+111

= -110.99904+111

= 0.00096 ft

4 0
2 years ago
The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu
Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that p = 0.7

20 adults

This means that n = 20

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is P(X = 12).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

3 0
2 years ago
The distance from Charles’s house to his school is 3 miles. His father gave him a ride for 1,760 yards, and he walked the rest o
slamgirl [31]
The answer is 2 miles or 3520 yards. (they are the same answer.)

If this helps, can you give me the brainliest answer? I need it...

Thank you very much.
8 0
3 years ago
Read 2 more answers
Enter the value that makes the given equation true. Y+396.23 =574.54
Levart [38]
574.54-396.23= 178.31
So Y=178.31
8 0
2 years ago
20 subtracted from 6 times a certain number, the result is 94. what is the number?
tino4ka555 [31]
Let the number be x.
6x-20=94
6x=114
x=19
3 0
3 years ago
Read 2 more answers
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