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2 years ago

The angle marked a = 75°. Work out the value of x. The diagram is not drawn accurately.

Mathematics

1 answer:

NikAS [45]2 years ago

4 0

Answer:

x+75=180

x=180-75

x=105

Step-by-step explanation:

x and a are on a straight line

a straight line=180

so you add the x to a=180

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A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sampl

jeka94

Answer:

<h3>The standard error of the mean is <u>15</u></h3>

Step-by-step explanation:

Given that a simple random sample of 64 observations was taken from a large population.

Hence it can be written as n=64

The population standard deviation is 120.

It can be written as $\sigma_{\overline{X}}=120$

The sample mean was determined to be 320.

It can be written as $\overline{X}=\mu =320$

<h3>To find the standard error of the mean :</h3>

The formula for the standard error of the mean is given by

$\sigma_{\overline{X}}=\frac{\sigma}{\sqrt{n}}$

Now substitute the values in the formula we get

$\sigma_{\overline{X}}=\frac{120}{\sqrt{64}}$

$=\frac{120}{8}$

$=15$

$\sigma_{\overline{X}}=15$

<h3>∴ The standard error of the mean is 15</h3>

3 0

3 years ago

Carter has 193 songs on a playlist. He's categorized them in the following manner: 39 pop. 17 jazz. 33 Latin American, 10 countr

Lorico [155]

Step-by-step explanation:

Total songs = 193

Probability of pop song = 39/193 = 0.202

7 0

3 years ago

To paint a house, a painting company charges a flat rate of $500 for supplies plus $50 for each hour of labor. What is the slope

Nataly_w [17]

The slope of the line is 50. You can try looking at the equation, which is

y=50x+500

500 is your y-intercept, and is where the cost starts.

50 is your slope, since the cost goes up by $50 every time.

x is how many hours, which determines how many $50s there are.

I hope this helps. All in all, the slope is 50.

5 0

3 years ago

The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2. Obi spent ?20 that day. Obi now had ?8 less than Rudy. How

BlackZzzverrR [31]

Answer:

Altogether, they had ?28

Step-by-step explanation:

Had Obi spent only ?12, they would have been even. Thus ?12 is the same as 5-2 = 3 "ratio units". So, each "ratio unit" is worth ?12/3 = ?4.

Then Obi started the day with 5·4 = 20, and Obi started the day with 2·4 = 8. Obi ended with 0, which is 8 less than Rudy.

Altogether, they started with 20 + 8 = 28 of whatever a ? is.

8 0

4 years ago