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3 years ago

I NEED THIS PLEASE HELP Y=2X+?

Mathematics

1 answer:

Eva8 [605]3 years ago

8 0

Answer:

$y=\frac{1}{3} x$ Would be perpendicular to the line on the graph

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Let D = {xlx is a state in the United States} be the domain, and let f(x) - "the state capital" be the possible function. Determ

stepladder [879]

ANSWER

Yes, f is a function.

EXPLANATION

The domain of the relation is D = {xlx is a state in the United States}

The rule is that f(x) ="the state capital"

The relation will be a function if and only if no two elements in the first set have the same image in the second set.

Since no two states will have the same capital, the relation is a function.

3 0

4 years ago

A rectangle has a side length of 3 feet and an area of 24 square feet. A larger similar rectangle has a corresponding side lengt

Verizon [17]

Answer: The answer would be 214

3 0

3 years ago

When 31 times a number is increased by 40 the answer is the same as two 200 is decreased by the number

storchak [24]

$x-\ number\\\\
31x+40=200-x\ \ \ | add\ x\\\\
32x+40=200\ \ \ | subtract\ 40\\\\
32x=160\ \ \ \ | divide\ by\ 32\\\\x=5\\\\Number\ is\ 5.$

4 0

4 years ago

What is the exact value of cos 105°?

sergij07 [2.7K]

Answer:

$\frac{-\sqrt{6} + \sqrt{2} }{4}$

Step-by-step explanation:

4 0

3 years ago

A manufacturer of pharmaceutical products analyzes specimens from each batch of a product to verify the concentration of the act

Alisiya [41]

Answer:

$0.82-2.977\frac{0.048}{\sqrt{15}}=0.783$

$0.82+2.977\frac{0.048}{\sqrt{15}}=0.857$

So on this case the 99% confidence interval would be given by (0.783;0.857)

So then we can conclude that at 99% of confidence the true mean is between (0.783;0.857) and the specification is satisfied since the value of 0.8 is on the confidence interval

Step-by-step explanation:

Previous concepts

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".

$\bar X= 0.82$ represent the sample mean

$\mu$ population mean (variable of interest)

s=0.048 represent the sample standard deviation

n=15 represent the sample size

Solution to the problem

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,14)".And we see that $t_{\alpha/2}=2.977$

Now we have everything in order to replace into formula (1):

$0.82-2.977\frac{0.048}{\sqrt{15}}=0.783$

$0.82+2.977\frac{0.048}{\sqrt{15}}=0.857$

So on this case the 99% confidence interval would be given by (0.783;0.857)

So then we can conclude that at 99% of confidence the true mean is between (0.783;0.857) and the specification is satisfied since the value of 0.8 is on the confidence interval

5 0

3 years ago