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Lunna [17]
3 years ago
13

What is the value of the expression a2 + b3 when a= 1/3 and b= 1/2 ?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

B. \frac{17}{72}

Step-by-step explanation:

{a}^{2}  +  {b}^{3}  \\  \\  =  \bigg( \frac{1}{3} \bigg)^{2}  + \bigg( \frac{1}{2} \bigg)^{3} \\  \\  =  \frac{1}{9}  +  \frac{1}{8}  \\  \\  =  \frac{8 + 9}{9 \times 8}  \\  \\  =  \frac{17}{72}  \\

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jason cycled for 3 hours. He cycled 7 1/2 miles each hour for the first 2 hours and the distance he cycled for the 3rd hour was
11111nata11111 [884]
7 1/2 * 2 = 15

The 3rd hour was 1/4 of the total distance in 3 hours. 

1/4 = 0.25 as a decimal, and 25% as a percent. 

15 (0.25) = 3.75
15 + 3.75 = 18.75

0.75 = 3/4 as a fraction.

So, he cycled 18 3/4 miles in 3 hours. 

I hope this helps, and I am sorry if I get this question wrong. (which is in all likelihood)

5 0
3 years ago
Read 2 more answers
A manager records the repair cost for 4 randomly selected stereos. A sample mean of $82.64 and standard deviation of $14.32 are
zysi [14]

Answer:

CI = (70.861 , 94.418)

Step-by-step explanation:

In order to determine the 90% confidence interval you use the following formula (for a population approximately normal):

CI=(\overline{x}-Z_{\alpha/2}\frac{\sigma}{\sqrt{n}},\overline{x}+Z_{\alpha/2}\frac{\sigma}{\sqrt{n}})    (1)

\overline{x}: mean = 82.64

σ: standard deviation = 14.32

n: sample = 4

α: tail area = 1 - 0.9 = 0.1

Z_α/2 = Z_0.05: Z factor =  1.645

You replace these values and you obtain:

Z_{0.05}(\frac{14.32}{\sqrt{4}})=(1.645)(\frac{14.32}{\sqrt{4}})=11.778

The confidence interval will be:

CI=(82.64-11.778,82.64+11.778)=(70.861,94.418)

The 90% confidence interval is (70.861 , 94.418)

6 0
4 years ago
PLS show the work and help me PLS :(
emmasim [6.3K]
All of the steps are good up until the 25-0, instead a 0 should have put into the top and the 1 brought down so that it was 251-248 which gets you 3 as a remainder so the answer is 804 R3
3 0
3 years ago
1
Papessa [141]

Answer:

d = 10/72

Step-by-step explanation:

c and d vary inversely

c = k/d

Where,

k = constant of proportionality

d = 2/9 when c = 5

c = k/d

5 = k ÷ 2/9

5 = k × 9/2

5 = 9k/2

Cross product

5*2 = 9k

10 = 9k

k = 10/9

c = k/d

c = 10/9 ÷ d

c = 10/9 × 1/d

c = 10/9d

find d when c = 8

c = 10/9d

8 = 10/9d

Cross product

8*9d = 10

72d = 10

d = 10/72

8 0
3 years ago
What is square root of 5 show work
ser-zykov [4K]
There is no square root of five...
5 0
3 years ago
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