All categories

3 years ago

What is mZC? Enter your answer in the box.

Mathematics

2 answers:

Setler79 [48]3 years ago

7 0

Answer:

mZC = 60 degrees

Step-by-step explanation:

2x+x+3x=180

6x=180

x=30

2(30)=60

Therefore, mZC = 60 degrees

Taya2010 [7]3 years ago

7 0

So the right answer is 60.

Look at the attached picture

Hope it will help you

Good luck on your assignment.

You might be interested in

A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is n

Olegator [25]

Answer:

i) $2 - 1.64 \frac{0.1}{\sqrt{16}}= 1.959$

$2 + 1.64 \frac{0.1}{\sqrt{16}}= 2.041$

So then the 90% confidence interval is given by (1.959, 2.041)

ii) Figure attached

iii) $ME= 1.64 *\frac{0.1}{\sqrt{16}}= 0.041$

Step-by-step explanation:

Previous concepts

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".

The confidence interval is given by this formula:

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

And for a 90% of confidence the significance is given by $\alpha=1-0.9=0.1$ , and $\frac{\alpha}{2}=0.05$ . Since we know the population standard deviation we can calculate the critical value $z_{0.05}= \pm 1.64$

We know the folllowing data:

$\bar X = 2$ represent the sample mean

$\sigma = 0.1$ represent the population deviation

n =16 represent the sample size

Part i)

If we replace the values given into formula (1) we got:

$2 - 1.64 \frac{0.1}{\sqrt{16}}= 1.959$

$2 + 1.64 \frac{0.1}{\sqrt{16}}= 2.041$

So then the 90% confidence interval is given by (1.959, 2.041)

Part ii)

Figure attached. We have the illustration for the confidence interval obtained.

Part iii)

The margin of error is given by:

$ME=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}}$

And if we replace we got:

$ME= 1.64 *\frac{0.1}{\sqrt{16}}= 0.041$

3 0

3 years ago

an urn contains twenty chips, numbered 1 through 20. two are drawn at random simultaneously (without replacement). what is the p

ElenaW [278]

The probability of the numbers on the two chips differing by more than two are 0.805.

<h3>What is probability? </h3>

The study of numerical representations of the possibility of an event occurring or a proposition being true is known as probability. A probability is a number between 0 and 1, where 0 denotes impossibility and 1 denotes certainty.

Given that,

Urn is composed of twenty chips, numbered one through twenty.

Two are drawn at random simultaneously.

The probability that the numbers on the two chips deviate by greater than two.

Probability = 20 x 20 - 20

Probability = 400 – 20

Probability = 380 total possible outcomes for 20 outcomes.

In the first and last rows, we can also observe that there are 20-3 = 17 choices with a difference greater than 2.

In the second and next-to-last rows, there are 20-4 =16 possibilities for a difference greater than 2.

As a result, the total is 2(17) + 2(16) + 2(15) = 306

Probability = Favorable outcomes/Total number of outcomes

Probability = 306/380

Probability = 153/190

Probability = 0.805

The probability of the values on the two chips varying by more than two is 0.805.

To know more about probability, visit:

brainly.com/question/11234923

#SPJ4

6 0

1 year ago

Find the volume of the cone and round to the nearest tenth.

strojnjashka [21]

Answer:

V≈1960.4

Step-by-step explanation:

4 0

3 years ago

What’s the name of these mathematical symbols:

Alex

Answer:

he first is a numerical sentence and the second is an equation

Step-by-step explanation:

equation because there's "="

7 0

3 years ago

Please help! provide thorough explanation and use elimination method!!

ICE Princess25 [194]

Multiply both sides of the second equation by 100 to get rid of the decimals:

0.05n + 0.10d = 1.50

==> 5n + 10d = 150

Multiply both sides of the first equation by -5:

n + d = 21

==> -5n - 5d = -105

Add the two equations together:

(5n + 10d) + (-5n - 5d) = 150 + (-105)

Notice that the terms containing n get eliminated and we can solve for d :

(5n - 5n) + (10d - 5d) = 150 - 105

5d = 45

d = 45/5 = 9

Plug this into either original equation to solve for n. Doing this with the first equation is easiest:

n + 9 = 21

n = 21 - 9 = 12

So Donna used 12 nickels and 9 dimes.

8 0

3 years ago