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scoundrel [369]
3 years ago
14

Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina he

lped clean the kitchen for 45 minutes. After the kitchen was clean, it took Martina 15 minutes to finish her homework. When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?
Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer:

3:30PM

Step-by-step explanation:

Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina helped clean the kitchen for 45 minutes. After the kitchen was clean, it took Martina 15 minutes to finish her homework. When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?

Step 1

We add up the minutes it took her to do things

= Minutes for video games + Minutes for cleaning the kitchen + Minutes for doing homework

= 15 minutes + 45 minutes + 15 minutes

= 75 minutes

= 1 hour 15 minutes

Step 2

When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?

This is calculated be subtracting 1 hour 15 minutes from 4:45 PM

= 4:45 PM - 1 : 15

= 3:30PM

Therefore, Martha got home from school by 3:30 PM

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Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all
Gnom [1K]

Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used 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.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that p = 0.95

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

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

P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

5 0
2 years ago
A group of friends are at a baseball game and are purchasing souvenirs. Dustin purchased 5 t-shirts and 1 baseball cap, spending
Inessa [10]

Answer:

Shirt-$19

Cap-$24

Step-by-step explanation:

5s+1c=119

1s+1c=43

1c=43-1s

substitute:

5s+(43-1s)=119

5s+43-1s=119

4s=119-43

4s=76

1s=19

substitute:

1c=43-(19)

1c=24

7 0
3 years ago
When multiplying 4.73 by 2.1 how many decimal places will the product have
hichkok12 [17]

it would be 9.93300

so 3 decimal places because the zeros don't count


3 0
3 years ago
Read 2 more answers
Solve for x. Round your answer to the nearest hundredth.
Zarrin [17]

Answer:

Option B is correct

Step-by-step explanation:

2x² - 6x + 3 = 0

Using Quadratic formula:

x = \frac{-b+-\sqrt{b^{2}-4ac}}{2a}

a = 2, b = -6, c = 3

x = \frac-(-6)+-{\sqrt{(-6)^{2}-4(2)(3)}}{2(2)}

x = \frac{-(-6)+-\sqrt{(-6)^{2}-4(2)(3)}}{2(2)}\\

=\frac{6+-\sqrt{36-24}}{4}\\\\=\frac{6+-\sqrt{12}}{4}\\\\=\frac{6+-3.46}{4}\\\\

=\frac{6+3.46}{4}

x = 2.37  


=\frac{6-3.46}{4}

 x = 0.63      

   


5 0
3 years ago
Read 2 more answers
3. A positive number is 56 less than its square. Find the number.
raketka [301]

Answer:8

Step-by-step explanation:

X+56=x^2

X^2-x-56=0

X^2-8x+7x-56=0

X(x-8)+7(x-8)=0

(X+7)(x-8)=0

X+7=0 or x-8=0

X=-7 or x=8

4 0
3 years ago
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