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4 years ago

Is the following statement true or false:

Mathematics

2 answers:

saw5 [17]4 years ago

6 0

<span>True, Every diameter is a chord

but not every chord is a diameter

hope this helped :)</span>

patriot [66]4 years ago

3 0

True because a chord is a line connecting any two points of a circle. A diameter connects two points in a circle, and it is the longest chord.

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Y varies inversely with x. If y = -8 when x = -7, find the y when x=-4.

lora16 [44]

Answer:

y =-14

Step-by-step explanation:

Inverse variation is of the form

xy = k where k is a constant

(-7)(-8) = k

56 = k

The equation is

xy = 56

Let x = -4

(-4)y = 56

y = 56/-4

y =-14

8 0

3 years ago

Can you solve the problems

UkoKoshka [18]

Yes I can. Hddgvxgcx

7 0

3 years ago

As part of their business promotional package, the Milwaukee Chamber of Commerce would like an estimate of the mean cost per mon

Morgarella [4.7K]

Answer:

a) $884-2.426\frac{50}{\sqrt{40}}=864.82$

$884+2.426\frac{50}{\sqrt{40}}=903.179$

So on this case the 98% confidence interval would be given by (864.82;903.179)

b) For this case the upper bound of the confidence interval is lower than 950 so we don't have a significant evidence to conclude that the true mean is 950 per month

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".

$\bar X=884$ represent the sample mean

$\mu$ population mean (variable of interest)

s=50 represent the sample standard deviation

n=40 represent the sample size

Solution to the problem

Part a

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:

$df=n-1=40-1=39$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,39)".And we see that $t_{\alpha/2}=2.426$

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

$884-2.426\frac{50}{\sqrt{40}}=864.82$

$884+2.426\frac{50}{\sqrt{40}}=903.179$

So on this case the 98% confidence interval would be given by (864.82;903.179)

Part b

For this case the upper bound of the confidence interval is lower than 950 so we don't have a significant evidence to conclude that the true mean is 950 per month

3 0

3 years ago

Determine the inverse function of f(x)=<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B4x-1%7D%20" id="TexFormula1" title=" \sqrt

gladu [14]

$f(x)=\sqrt{4x-1}\\
y=\sqrt{4x-1}\\
y^2=4x-1\\
4x=y^2+1\\
x=\dfrac{y^2+1}{4}\\
f^{-1}(x)=\dfrac{x^2+1}{4}\\$