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shepuryov [24]
3 years ago
9

I need help finding this answer because I am pretty sure it’s C but I don’t know

Mathematics
1 answer:
malfutka [58]3 years ago
5 0

Answer: A) -9

Step-by-step explanation:

If x = -2

Then 3^{x} = 3^{-2}

So, it is -9

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The diameter of holes for a cable harness is known to have a normal distribution with σ = 0.01 inches. A random sample of size 1
Rama09 [41]

Answer: (1.4964, 1.5126)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :-

\overline{x}\ \pm z*\dfrac{\sigma}{\sqrt{n}}

, where {\sigma= population standard deviation.

n= sample size

\overline{x} = Sample mean

As per given , we have

σ = 0.01 inches

n= 10

\overline{x}=1.5045

Also, the critical value for 99% confidence interval = z*=2.576 [From x-value table.]

[Significance level =1-0.99=0.01 and z_{\alpha/2}\ at\ \alpha=0.01 is 2.576.]

Then, the 99% two-sided confidence interval on the mean hole diameter will be :-

1.5045\ \pm (2.576)\dfrac{0.01}{\sqrt{10}}\\\\\approx1.5045\pm(2.576)(0.00316)=1.5045\pm0.00814016=(1.5045-0.00814016,\ 1.5045+0.00814016)\\\\=(1.49635984,\ 1.51264016)\approx(1.4964,\ 1.5126)

Hence, the required confidence interval = (1.4964, 1.5126)

8 0
4 years ago
Is 99.01 greater than 99.10
fiasKO [112]

No, .01 is farther from being 1 than .1 is.

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 24 Superscript one-third?
Ivahew [28]

Answer:

See explanation

Step-by-step explanation:

The given expression is: (24)^{\frac{1}{3}}

Recall that 24=3*8

\implies(24)^{\frac{1}{3}}=(8*3)^{\frac{1}{3}}

Recall again that:

(a*b)^n=a^n*b^n

\implies (8*3)^{\frac{1}{3}}=(8)^{\frac{1}{3}}*(3)^{\frac{1}{3}}

\implies (8*3)^{\frac{1}{3}}=(2^3)^{\frac{1}{3}}*(3)^{\frac{1}{3}}

\implies (8*3)^{\frac{1}{3}}=2^{3*\frac{1}{3}}*(3)^{\frac{1}{3}}

\implies (8*3)^{\frac{1}{3}}=2*(3)^{\frac{1}{3}}

We rewrite in radical form to obtain

\implies (8*3)^{\frac{1}{3}}=2\sqrt[3]{3}

6 0
3 years ago
Read 2 more answers
Which polynomial is a difference of two squares? x2 − 16 x2 + 16 x2 − 8 x2 + 8
mart [117]
Difference means subtract so we can reduce the choices right away to first and third choices. of the only the first is the difference of squares, namely x² - 4²
8 0
4 years ago
Pls help with this!! no wrong answers pls
Juliette [100K]

Answer:

x = 40

Step-by-step explanation:

180 = 100 + x +x

180-100= 2x

80 = 2x

x = 40

4 0
3 years ago
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