Can someone please help?

A sample of 14001400 computer chips revealed that 311% of the chips do not fail in the first 10001000 hours of their use. The co

Archy [21]

Answer:

There is sufficient evidence at 0.05 significant level to support company's claim.

Step-by-step explanation:

We have these informations from the question

n = 1400

P^ = 31% = 0.31

Alpha level = 5% = 0.05

Then we come up with the hypothesis

H0: P = 0.28

H1: P>0.28

From here we calculate the test statistic

z = p^ - p/√pq/n

P = 0.28

q = 1-0.28

= 0.72

z = 0.31-0.28/√(0.31*0.72)/1400

= 0.03/√0.0001594

= 0.03/0.012

= 2.5

Then we have a p value = 0.00621

The p value is less than significance level

0.00621<0.05

So the null hypothesis is rejected.

We conclude that There is sufficient evidence at 0.05 significant level to support company's claim.

5 0

2 years ago

What is the value of the rational expression below when is equal to 5?

yaroslaw [1]

Answer:

$\boxed {C. -2}$

Step-by-step explanation:

$\textsf {Substitute x = 5 in the expression :}$

$\longrightarrow \mathsf{\frac{15 - x}{x - 10}}$

$\longrightarrow \mathsf{\frac{15 - 5}{5 - 10}}$

$\longrightarrow \mathsf{\frac{10}{-5}}$

$\longrightarrow \mathsf{-2}$

7 0

1 year ago

Peter purchases a baseball card for $150 as an investment. His research tells him that the value of

creativ13 [48]

Answer:

6 years

Step-by-step explanation:

Given

$Initial\ Investment = 150$

$Ratio = double$

Required

When will it get to 4000

This question illustrates a geometric progression and will be solved using:

$T_n = ar^{n-1}$

In this case;

$T_n = 4000$

$r = double = 2$

$a = 150$

So, we're to solve for n

$4000 = 150 * 2^{n - 1}$

Divide through by 150

$\frac{4000}{150} = 2^{n-1}$

$26.67= 2^{n-1}$

Take Log of both sides

$Log26.67= Log2^{n-1}$

Apply law of logarithm

$Log26.67= ({n-1})Log2$

Take Log values

$1.42602301569 = (n - 1) * 0.30102999566$

Make n - 1 the subject

$n - 1 = \frac{1.42602301569}{0.30102999566}$

$n - 1 = 4.73714591984$

Add 2 to both sides

$n = 1 + 4.73714591984$

$n = 5.73714591984$

$n = 6$ (Approximated)

Hence, it'll take 6 years

7 0

2 years ago

Find the first 4 terms of the Arithmetic sequence. f(n) = f(n-1) + 5 f(1) = -2

nexus9112 [7]

f(n) = f(n-1) + 5 simply means

the next term or f(n), will have a value of
the one before it, or f(n-1), +5

so.. you're looking for the 4th term, that means f(4)
to get 4th term then, that will be the 3rd term plus 5,
whatever the 3rd term is

now... f(1) = -2, simply means, the term 1, or f(1), or first term, is -2

now to find a term value in an arithmetic sequence $\bf f(n)=f(1)+(n-1)d\\\\
\begin{cases}
n=n^{th}\ term\to &4\\
f(1)=\textit{first term}\to &-2\\
d=
\begin{array}{llll}
\textit{common difference, or amount}\\
\textit{added to get the next term}
\end{array}\to &5
\end{cases}\\\\
-----------------------------\\\\
thus
\\\\
f(4)=f(1)+(4-1)5$

and I'm sure you know what f(1) is, so, just plug it in, to get f(4), or 4th term

5 0

3 years ago

A particular number was divided by 6 qnd then 5 was taken away from the quotient. Finally, the difference was mutiplird by 2. Gi

Nitella [24]

N is the number
divided by 6 then n/6
5 was taken away so (n/6)-5
the result is multiplied by 2 so 2((n/6)-5)
result is -12

-12=2((n/6)-5)
divide both sides by 2
-6=(n/6)-5
add 5
-1=n/6
times 6
-6=n
da number was -6

6 0

3 years ago