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4 years ago

The complement of a 45° angle

Mathematics

2 answers:

creativ13 [48]4 years ago

3 0

Answer:

Step-by-step explanation:

The 45° complement is the angle that constitutes a right angle (90°) when added to 45 .°.

90 - 45 = 45

Goshia [24]4 years ago

3 0

45 degrees is the answer

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Find the critical value needed to construct a 95% CI of a population mean with an unknown standard deviation and a sample size o

kaheart [24]

Answer:

$t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02$

Step-by-step explanation:

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".

In order to find the critical value we need to take in count that we are finding the critical value for the population mean and without the standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . We need to calculate the degrees of freedom are given by:

$df=n-1=39-1=38$

We can find the critical value using the following excel codes:

"=T.INV(0.025;38)" or "T.INV(1-0.025;38)"

And the critical values would be given by:

$t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02$

7 0

3 years ago

Help in math pre algebra

KIM [24]

The answer is 121

explanation : 11 x 11 = 121

7 0

3 years ago

Tile 6a7-2a7 simplified

suter [353]

6a^7-2a^7
=5a^7 ................combine like terms

6 0

4 years ago

A tank's length is 3 feet longer than its width. The height is 1 foot less than the width. The volume of the tank is 160 cubic f

Ivanshal [37]

Answer:

The width of the tank is 5 feet.

Step-by-step explanation:

Given:

A tank's length is 3 feet longer than its width.

The height is 1 foot less than the width.

The volume of the tank is 160 cubic feet.

Now, to find the width of the tank.

Let the width of the tank be $x.$

So, length is $x+3.$

And, height is $x-1.$

The volume of tank = 160 cubic feet.

Now, to get the width we put formula:

Volume = length × width × height.

$160=(x+3)\times x\times (x-1)$

$160 =x(x^2-x+3x-3)$

$160=x(x^2+2x-3)$

$160=x^3+2x^2-3x$

Subtracting both sides by 160 we get:

$0=x^3+2x^2-3x-160$

$x^3+2x^2-3x-160=0$

Now, on solving the equation we get:

$x=5.$

The width = 5 feet.

Therefore, the width of the tank is 5 feet.

5 0

4 years ago

You've baked 26 cookies, which is two-thirds of all the cookies you planned to bake. How many cookies did you plan to make?

hodyreva [135]

Answer,

(26/2) * 3

= 39

Explanation,

26 cookies is only 2/3 of 3/3. So, we divide 26 by 2 to see how many cookies are in 1/3. We then can find out that when you make 1/3 of the cookies there are 13. Since that is only 1/3 and we want to find out 3/3. We multiply 13 by 3 and get 39 which is all the cookies she planned to make.

Hope this helps :-)

7 0

3 years ago