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schepotkina [342]
3 years ago
6

How to determine if a function is linear constant or neither?

Mathematics
1 answer:
BARSIC [14]3 years ago
4 0
Hello : 
f<span>unction is linear when are the form : y = ax +b 
</span><span>function is linear constant are the form : y = b</span>
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The circumference of a pizza is about 38 inches. What is the diameter of the pizza? Round to the nearest tenth if necessary
anygoal [31]

Answer:

The diameter of the pizza is 12 inches

Step-by-step explanation:

Given:

Circumference of a pizza = 38 inches

To Find:

The Diameter of the pizza =?

Solution:

Circumference:

The distance around the edge of a circle (or any curvy shape). It is a type of perimeter.

We know that the shape of the pizza is circle.

So the given circumference is circumference of a circle.

Now,

Circumference of the circle(pizza)=2\pi r

where r is the radius of the circle

circumference of the pizza =38

Thus

2\pi r= 38

\pi r=\frac{38}{2}

\pi r=19

r=\frac{19}{3.14}

r=6.050 inches

Now,

Diameter = 2\times r

Diameter = 2\times 6.05

Diameter=12.1 inches

Rounding to the nearest tenth

Diameter=12 inches

8 0
3 years ago
A professor wants to estimate the average time it takes his students to finish a computer project. Based on previous evidence, h
vova2212 [387]

Answer:

A sample size of 3 is required.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.96}{2} = 0.02

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.02 = 0.98, so Z = 2.054.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.

This means that \sigma = 3.6

He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.

The sample size needed is of n, and n is found when M = 5. So

M = z\frac{\sigma}{\sqrt{n}}

5 = 2.054\frac{3.6}{\sqrt{n}}

5\sqrt{n} = 2.054*3.6

\sqrt{n} = \frac{2.054*3.6}{5}

(\sqrt{n})^2 = (\frac{2.054*3.6}{5})^2

n = 2.19

Rounding up:

A sample size of 3 is required.

4 0
3 years ago
Solve for x: -6x - 2 = 40
julia-pushkina [17]
<span>-6x - 2 = 40
-6x = 42
x = -7
..................</span>
5 0
3 years ago
Find the volume of this figure to the nearest whole number. Use 3.14 for pi.
sukhopar [10]

Answer:

≈ 1800 mm³

Step-by-step explanation:

Volume of the figure above will be given by the formula

Cross section area × length

In this case;

Cross section area will be;

Area of the square + area of the two semi circles

12× 12 + 2(3.14 × 6 ×6/2)

= 144 + 3.14 ×36

= 257.04 mm²

Volume = Cross section area × Length

             = 257.04 × 7

             = 1799.28 mm³

           <u> ≈ 1800 mm³</u>

3 0
3 years ago
I’m having trouble if you know how please explain!
timurjin [86]
The answer is 1,4 because when you minus 6-2 it’s 4
3 0
4 years ago
Read 2 more answers
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