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kozerog [31]
3 years ago
6

(-10) to the negitive 4 power

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
7 0
(-10)^{-4}=\\
\left(-\frac{1}{10}\right)^4=\\
\frac{1}{10000}

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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
3 years ago
graph of a function is alone that passes through the points (0,1) and (3,10) write an equation in the form y=Mx+b. For this func
nadya68 [22]

Answer:

y = 3x + 1

Step-by-step explanation:

(0,1) so that is the b

the rate of change is 9/3 so the m is 3

8 0
2 years ago
The cake density is 0.454 ounce per cubic inch and the fair price is $0.20 per ounce. What should be a fair price for each cake?
aleksklad [387]

Answer:

price = x * 0.2

or

price = x * 0.454 * 0.2

Step-by-step explanation:

In this case we must know either the mass of the cake or its volume.

Given the case that we know the mass of the cake, it would be:

price = x * 0.2

where x is the mass of the cake in ounces, that is to say if for example a cake has a mass of 10 ounces, it would be:

price = 10 * 0.2 = 2

which means that each cake costs $ 2

Given the case of the volume, we must first multiply the density by this volume in order to calculate the mass and finally the price.

price = x * 0.454 * 0.2

where x is the volume of the cake in cubic inches, if for example the volume is 10 cubic inches it would be:

price = 10 * 0.454 * 0.2 = 0.908

which means that each cake costs $ 0.9

5 0
3 years ago
From a hot-air balloon, Juan measures a 36° angle of depression to a landmark that's
Masja [62]

Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem:

  • The vertical change is x.
  • The horizontal change is of 602 ft.
  • The angle is of 36º.

Hence, applying the concept:

tan (36º) = x/602

x = 602 x tan(36º)

x = 437.4.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

4 0
1 year ago
Serena wants to create snack bags for a trip she's going on she has 6 granola bars and 10 piecies of dried fruit whats the great
Eduardwww [97]

Answer:

6, if she wants one granola bar and one dried fruit in each bag

Step-by-step explanation:

4 0
3 years ago
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