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3 years ago

Is the function ƒ(x) = (–7)x an exponential function? If so, identify the base. If not, why not?

1 answer:

5 0

Answer:No it's not an exponential equation in which f(x)is not qualified to an exponential number. no number from 1 - 20 can be used and get subtracted by 2 to give a square number.

eg-

4×2-2≠ square number

Step-by-step explanation:

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A lab technician has to fill the tank given below. Find it’s volume .

wel

Answer:

The volume of the cylinder shown in the figure is 628 cube meters

Step-by-step explanation:

Given figure is about cylinder

The height of the cylinder = h = 8 meters

The radius of the base of cylinder = r = 5 meters

Now, let The volume of cylinder = V m³

So, The volume of cylinder is given as V = $\pi$ ×r²×h

where r is the radius of its base

And h is the height of cylinder

The value of $\pi$ = 3.14

So, V = $\pi$ × r² × h

Or, V = 3.14 × (5)² × 8

Or, V = 3.14 × 25 × 8

or, V = 628 m³

So, The volume of cylinder = V = 628 m³

Hence The volume of the cylinder shown in the figure is 628 cube meters Answer

6 0

3 years ago

The Ohio Department of Agriculture tested 203 fuel samples across the state

Rus_ich [418]

Answer:

$\hat p = \frac{14}{105}= 0.133$

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475$

$0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185$

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The proportion estimated would be:

$\hat p = \frac{14}{105}= 0.133$

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475$

$0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185$

The 99% confidence interval would be given by (0.0475;0.2185)

3 0

3 years ago

Read 2 more answers

53, Margie usually drinks 12.25 liters of water in one week (7 days), 1 she continues to drink water at the same rate, what is t

Anna [14]

Using the information given in the question, the total number of liters Margie will drink in a 4 week period is 39

Consider the given information:

12.25 liters per week
Continues this for 4 weeks

Equation formed with said information:

Liters per week × The 4-week period

Solving the equation

12.25 × 4

= 49

Therefore, after the 4-week period Margie would of drank 49 liters

4 0

2 years ago

Observe

slega [8]

Answer:

They both have the same y-intercept

one is a straight line and the other is not

I used my brain to solve it.please mark me as the brainiest,It would mean a lot to me.

6 0

3 years ago

8 tins holds 42-2-3 liter of oil. How many liters can 1such tin hold

GarryVolchara [31]

Answer = 4.625

Solution =42-2-3=37

37 divided by 8 = 4.625

Holley Gus’s it’s the answer

8 0

3 years ago