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3 years ago

Multiply. Write your answer as a fraction in simplest form. −1/4×(−4/3)=

Mathematics

1 answer:

Sophie [7]3 years ago

5 0

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Given

- $\frac{1}{4}$ × - $\frac{4}{3}$ ( negative times negative = positive )

= $\frac{1}{4}$ × $\frac{4}{3}$ ( cancel the 4 on the numerator and denominator )

= $\frac{1}{3}$

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The functions f(x) and g(x) are shown.

erastova [34]

The function f(x) takes on the value 2 when x = -7 and x = -3, and thus the corresponding points are (-7,2) and (-3,2).

The points where g(x) = 0 are called "roots" or "solutions," and is (3,0).

f(x) > g(x) on the approx. interval (-9, -3/4).

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3 years ago

Given the function g(x)=√x+4, which of the following values cannot be the domain of g?

Gennadij [26K]

Answer:

D. x = -5

Step-by-step explanation:

The square root function is only defined for non-negative arguments. For the function ...

$g(x)=\sqrt{x+4}$

this means we must have ...

x +4 ≥ 0

x ≥ -4 . . . . . . subtract 4 from both sides

All of the numbers on your answer choice list are more than -4 except -5.

x = -5 is not in the domain of g(x)

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2 years ago

Which of the following expressions is not correctly written in scientific notation?

Sergeu [11.5K]

I think it’s C but what grade is this

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3 years ago

Read 2 more answers

The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books check

Verdich [7]

Answer:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =150$ represent the population standard deviation

n 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)

The confidence interval for this case is given by: (740, 920)

We can find the estimate for the mean and we got:

$\bar X = \frac{740+920}{2} = 830$

and the margin of error is given by :

$ME = \frac{920-740}{2}= 90$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =90 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

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3 years ago

A pyramid with an equilateral-triangle base has a volume of 483√3 cm 3 and a height of 16 cm. What is the length of each side of

KengaRu [80]

V= 1/3 Area of base times Height
so, 483 (3)^1/2 =1/3 A (16 cm)
1/3(1/2b^2)16cm = 483(3)^1/2
solve for b to get the sides and it is = 17.7 or 18 approximate.

8 0

3 years ago