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3 years ago

If two angles are complementary. what is the sum of there measuerment?

Mathematics

2 answers:

BARSIC [14]3 years ago

7 0

90 degrees (supplementary would add up to 180 degrees)

alexdok [17]3 years ago

4 0

If two angles are complementary, it means their angle measures add to 90

Hope this helps

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A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh) wa

grin007 [14]

Answer:

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.98}{2} = 0.99$ . So we have T = 2.462

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.462\frac{91.5}{\sqrt{30}} = 41.13$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 375 - 41.13 = 333.87 kWh

The upper end of the interval is the sample mean added to M. So it is 375 + 41.13 = 416.13 kWh

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

6 0

3 years ago

When solving 8 (x + 35) = -7, what is the correct sequence of operations? (5 points)

anzhelika [568]

Answer:

280 is your answer right answer

8 0

3 years ago

Write the product in standard form: (x+4)(x-4)

Genrish500 [490]

Answer:

x² - 16

Step-by-step explanation:

Use the FOIL method here where

F = first

O = outer

I = inner

L = last

F = x * x = x²

O = -4 * x = -4x

I = 4 * x = 4x

L = -4 * 4 = -16

Combine the terms to get x² - 16.

8 0

3 years ago

Helppp plsss help I'm almost done

kirza4 [7]

Answer:

Step-by-step explanation:

-1, - 0.6, - (2/5), - (1/4), - (1/5), 0, 0.2, 0.25, 0.4, (3/4), (4/5), 1

I hope I've helped you.

4 0

3 years ago

The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 whe

mr Goodwill [35]

6 sec can take penny to strike the ground.

Solution:

Given data:

$H_0=288$ feet

$V_0=48$ feet

$h(t)=288+48t-16t^2$

Re-arrange the terms from greatest degree to smallest degree.

$h(t)=-16t^2+48t+288$

We can solve it by applying quadratic formula,

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here a = –16, b = 48, c = 288

$$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}$

$$t=\frac{-48\pm \sqrt{2304+18432}}{-32}$

$$t=\frac{-48\pm \sqrt{20736}}{-32}$

$$t=\frac{-48\pm144}{-32}$

Now, write find two t's using plus and minus operation.

$$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}$

$$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}$

t = –3 (or) t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

8 0

3 years ago