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Romashka-Z-Leto [24]
3 years ago
14

A number is chosen at random from the first 100 positive integers. Find the probability that the number is not divisible by 10 o

r 3. A. 3/5 B. 3/10 C. 57/100
Mathematics
1 answer:
nata0808 [166]3 years ago
4 0

Answer:

i think it is b

Step-by-step explanation:

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NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400
Ne4ueva [31]

Answer:

The test statistics is  t  =  -1.727

Step-by-step explanation:

From the question we are told that

The data given is  

   330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

 The population mean is  \mu  =  14400

    The  sample  size is  n =  16

  The  null hypothesis is  \mu \le  14400

    The  alternative hypothesis is  H_a  :  \mu > 14400

The sample mean is mathematically evaluated as

  \= x  =  \frac{\sum x_i}{n}

So

   \= x  =  \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}

=>  \= x = 10799.9

The  standard deviation is mathematically represented as

      \sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}

So

\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}}  \ ..

   ..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2  }{16}} \ ...

  \ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}

=>  \sigma  =  8340

  Generally the test statistic is mathematically represented as

  t =  \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }

t  =  -1.727

From the z-table  the p-value is  

     p-value  = P(Z > t) =  P(Z >  -1.727) =  0.95792

 From the values obtained we see that

        p-value  >  \alpha  so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

5 0
3 years ago
The city mayor wants to use the reserved section of a rectangular park for gardening lessons conducted by the city public school
Nezavi [6.7K]

Answer:

the answer is C (280 square feet)

Step-by-step explanation:

First, cut the lawn so that it becomes two shapes: a rectangle, and a triangle. Solve for both areas.

A(r) = lw

A(r) = (14)(16)

A(r) = 224 square feet

A(t) = bh/2

A(t) = (8)(14) / 2

A(t) = 112 / 2

A(t) = 56 square feet

Add the two areas:

A(r) + A(t) = Area of lawn

224 square feet + 56 square feet = 280 square feet.

7 0
3 years ago
Read 2 more answers
Help me solve this question please.
pantera1 [17]
The answer is D. 9(y + 3) and 27 + 9y because 9(y + 3) when expanded is 9y + 27. I hope this helps!
3 0
3 years ago
When you are doing math homework do u need to show your work for every problem?
Alex17521 [72]

Yes, it is very important otherwise some teachers may count the problem wrong.


6 0
3 years ago
Read 2 more answers
A man deposits $ 14,850 into a bank, which pays 4% interest that is compounded
Ganezh [65]

Given:

Principal = $14850

Rate of interest = 4% compounded semiannually.

Time = 3 years

To find:

The amount after 3 years.

Solution:

Formula for amount is:

A=P\left(1+\dfrac{r}{n}\right)^{nt}

Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.

The interest is compounded semiannually, so n=2.

Putting P=14850, r=4, n=2, t=3 in the above formula, we get

A=14850\left(1+\dfrac{0.04}{2}\right)^{2(3)}

A=14850\left(1+0.02\right)^{6}

A=14850\left(1.02\right)^{6}

On further simplification, we get

A=14850(1.12616242)

A=16723.511937

A\approx 16723.51

Therefore, the amount in the account after three years is $16723.51.

6 0
3 years ago
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