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Marat540 [252]
3 years ago
13

Find 1/8 of 12. Express your answer in simplest form.

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

Answer:

1 1/2

Step-by-step explanation:

1/8 * 12 = 12/8 = 3/2 = 1 1/2

Hope this helps!

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Anika [276]
506 divided by 22 is 23. 
5 0
3 years ago
Read 2 more answers
Find the value of x from the equation
Jobisdone [24]

\dfrac{8^{3x}}{2^{10}}=\dfrac{4^{2x}}{16} \\\dfrac{2^{3(3x)}}{2^{10}}=\dfrac{4^{2x}}{4^2} \\2^{9x-10}=4^{2x-2} \\2^{9x-10}=2^{2(2x-2)} \\2^{9x-10}=2^{4x-4} \\9x-10=4x-4 \\5x-6=0 \\5x=6 \\\boxed{x=\dfrac{6}{5}}

Hope this helps.

r3t40

3 0
3 years ago
In 2008, data from the Center for Disease Control revealed that 28.5% of all male teenagers, aged 18-19 and attending U.S. colle
m_a_m_a [10]

Answer:

a) H0 : u = 28.5%

H1 : u < 28.5%

b) critical value = - 1.645

c) test statistic Z= - 1.41

d) Fail to reject H0

e) There is not enough evidence to support the professor's claim.

Step-by-step explanation:

Given:

P = 28.5% ≈ 0.285

X = 210

n = 800

p' = \frac{X}{n} = \frac{210}{800} = 0.2625

Level of significance = 0.05

a) The null and alternative hypotheses are:

H0 : u = 28.5%

H1 : u < 28.5%

b) Given a 0.05 significance level.

This is a left tailed test.

The critical value =

-Z_0.05 = -1.645

The critical value = -1.645

c) Calculating the test statistic, we have:

Z = \frac{p' - P}{\sqrt{\frac{P(1-P)}{n}}}

Z = \frac{0.2625 - 0.285}{\sqrt{\frac{28.5(1-28.5)}{800}}}

Z = -1.41

d) Decision:

We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645

e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.

5 0
3 years ago
A family wants to rent a car to go on vacation. Company a charges $70.50 and $.50 per mile. Company B charges $35.50 and nine ce
Naddik [55]

Answer:

Company A is 1.99 times B.

Step-by-step explanation:

Company A charges:

A=70.50+0.50=\$71/mile  

Company B charges:

B=35.50+0.09=\$35.59/mile

We just need to divide A by B:

x=A/B=1.99

Therefore, company A is 1.99 times B.

I hope it helps you!

     

5 0
3 years ago
Trains headed for destination A arrive at the train station at 15-minute intervals tarting at 7am, where as trains headed for de
grandymaker [24]

Answer: a.) 2/3 ; b.) 7/12

Step-by-step explanation:

Given the following details :

Destination A trains arrives at station at 15 minutes interval starting from 7am

Destination B trains arrives at station at 15 minutes interval starting from 7.05am

A.) if a passenger arrives at station uniformly between 7am and 8am and gets on first train. What proportion of time does the passenger leave from destination A?

To leave for destination A. The passenger has to arrive before train to A departs and after train to B leaves.

Train to B leaves, starting at at 7.05 a.m and at interval of 15 minutes

Train to A leaves at 7.00 am and at interval of 15 minutes.

Therefore,

(Train B departs - train A arrives) (between 7 to 8am)

(7.05 - 7.15) + (7.20 - 7.30) + (7.35 - 7.45) + (7.50 - 8.00) = 40 minutes

Total time = 7.00 - 8.00 = 60 minutes

(40 ÷ 60) = 2/3 or 0.667

B.) If passenger arrives uniformly between 7.10am - 8:10am

(7.10 - 7.15) + (7.20 - 7.30) + (7.35 - 7.45) + (7.50 - 8)

5 + 10 + 10 + 10 = 35

35/60 = 7/12 or 0.583

8 0
3 years ago
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