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Vikentia [17]
2 years ago
5

Pleas awnser at least one

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
3 0

question no.1

here, f (2) is given so

f (x)= x-4

f (2)=2-4

f (2)=-2

so ,the functional value f (x)= -2

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Open or closed circle?<br><br>What is the answer for the number line?<br><br>What is the solution?
Amanda [17]

To isolate m, we'll multiply both sides by 8.

We go from m/8 < 4 to m < 32

This describes any number smaller than 32. We aren't including 32 itself, so we have an <u>open circle</u> at 32 on the number line. The <u>shading is to the left</u> since everything to the left of 32 is smaller than 32.

3 0
3 years ago
A company with a large fleet of cars wants to study the gasoline usage. They check the gasoline usage for 50 company trips chose
Nookie1986 [14]

Answer:

The 95% confidence interval is given by (25.71536 ;28.32464)

And if we need to round we can use the following excel code:

round(lower,2)

[1] 25.72

round(upper,2)

[1] 28.32

And the interval would be (25.72; 28.32)  

Step-by-step explanation:

Notation and definitions  

n=50 represent the sample size  

\bar X= 27.2 represent the sample mean  

s=5.83 represent the sample standard deviation  

m represent the margin of error  

Confidence =88% or 0.88

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".  

Calculate the critical value tc  

In order to find the critical value is important to mention that we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 88% of confidence, our significance level would be given by \alpha=1-0.88=0.12 and \alpha/2 =0.06. The degrees of freedom are given by:  

df=n-1=50-1=49  

We can find the critical values in R using the following formulas:  

qt(0.06,49)

[1] -1.582366

qt(1-0.06,49)

[1] 1.582366

The critical value tc=\pm 1.582366  

Calculate the margin of error (m)  

The margin of error for the sample mean is given by this formula:  

m=t_c \frac{s}{\sqrt{n}}  

m=1.582366 \frac{5.83}{\sqrt{50}}=14.613  

With R we can do this:

m=1.582366*(5.83/sqrt(50))

m

[1] 1.304639

Calculate the confidence interval  

The interval for the mean is given by this formula:  

\bar X \pm t_{c} \frac{s}{\sqrt{n}}  

And calculating the limits we got:  

27.02 - 1.582366 \frac{5.83}{\sqrt{50}}=25.715  

27.02 + 1.582366 \frac{5.83}{\sqrt{50}}=28.325

Using R the code is:

lower=27.02-m;lower

[1] 25.71536

upper=27.02+m;upper

[1] 28.32464

The 95% confidence interval is given by (25.71536 ;28.32464)  

And if we need to round we can use the following excel code:

round(lower,2)

[1] 25.72

round(upper,2)

[1] 28.32

And the interval would be (25.72; 28.32)  

6 0
3 years ago
8 1/2 minus 5 1/2? simplify
vichka [17]

Answer:

3

Step-by-step explanation:

Same as: 8.5-5.5 = 3

5 0
2 years ago
Read 2 more answers
BRAINLIEST and PLEASE show your work!!!!
Nina [5.8K]

Answer:

y=96

Step-by-step explanation:

Important information:

y=x^2(2+4)

x=4

Explanation/Solution:

y=x^2(2+4)

y=4^2(2+4)

y=16 (2+4)

y= 16 · 6 =

y=96

8 0
2 years ago
Find the area of the circle. Round your answer to the nearest tenth.
Lyrx [107]

Answer:

254.47 to the nearest tenth is 254.5mm

Step-by-step explanation:

Hey! here's explanation:

A= π x r^2 (squared)

so A = π x 9mm^2

which gives you the answer of 254.47

TO THE NEAREST TENTH IS 254.5!

*hope this helps!*

6 0
3 years ago
Read 2 more answers
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