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inessss [21]
3 years ago
7

Two angels in a triangle add up two 115 degrees what is the size of the third angle

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0
The internal angles in a triangle add up to 180
I think the question should say
'2 angles in a triangle add up to 115 degrees'
so therefor
x+y+z=180
2 angles are x+y
115+z=180
z=3rd angle

solve
115+z=180
subtract 115 from boths ides
z=65

answer is third angle=65 degrees
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A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,00
Marianna [84]

Answer: a.) $50188 to $57812

Step-by-step explanation: <u>Confidence</u> <u>Interval</u> (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± z\frac{s}{\sqrt{n} }

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± 1.96.\frac{6000}{\sqrt{12} }

54,000 ± 1.96\frac{6000}{3.464}

54,000 ± 1.96*1732.102

54,000 ± 3395

This means the interval is

50605 < μ < 57395

<u>With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or </u><u>from 50188 to 57812$.</u>

<u />

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

4 0
2 years ago
estimate 0.00792398 to the nearest thousandth. Express your answer as a single-digit times a power of ten
Marianna [84]

Answer: \approx8*10^{-3}

Step-by-step explanation:

In order to round to the nearest thousandth, you must observe the digit to the right of the digit in the thousandth place and then:

  • If it is less than 5, you must round down.
  • If it is greater than or equal than 5, you must round up.

In this case, given the number:

0.00792398

You can notice that the digit to the right of the digit in the thousandth place is 9.

Since 9>5, you must round up. Then:

0.00792398\approx0.008

Finally, to express this as a single-digit times a power of ten, move the decimal point three places to the right. Then you get:

\approx8*10^{-3}

5 0
3 years ago
A school teacher wants to survey students at her elementary school. She surveys 20 students from each grade level. What type of
Elan Coil [88]

Answer:

Stratified Random sampling

Step-by-step explanation:

When a random observations are selected from a number of individual groups in a particular population, the type of sampling technique is called Stratified Random sampling. Stratified Random sampling begins with the partitioning or splitting or a population into subgroups. A number of random selection are then made from each of the subgroups to form a collection of larger samples. This is different from the simple random sampling technique which makes random selection directly from a larger sample or population without prior partitioning of the population. The different grades of students represents the individual stratum from which random selections are made.

4 0
3 years ago
Danielle sells beauty supplies and earns a base salary of $450 per week plus a 9% commission on sales. During one particular wee
Anna007 [38]

Answer:

Should be 530.55 total that week

And 80.55 in commissions

7 0
3 years ago
Can someone help me ​
ICE Princess25 [194]

Answer:

S=49

Step-by-step explanation:

Any triangle has an interior angle of 180.

So just add them up and set the sum equal to 180 degrees.

2s+s+33=180

3s=180-33

3s=147 .   Divide both sides by 3 to isolate variable s

s=49

7 0
2 years ago
Read 2 more answers
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