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Katen [24]
3 years ago
6

8. Find the measure of the interior angles. *

Mathematics
1 answer:
tatiyna3 years ago
8 0
180/3=60
Each angle is 60 degrees.
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31 and 81 are in the bottom corners of the triangle X is at the top . What is X?
kati45 [8]

Answer:

The top angle of the triangle is, X = 68°.

Step-by-step explanation:

Let there is a triangle named PQR with bottom corner angles ∠ P and ∠ Q and the ∠ R is the angle at the top.

Now, given that ∠ P = 31° and ∠ Q = 81° and we have to find out ∠ R i.e. X.

In Δ PQR, we know, ∠ P + ∠ Q + ∠ R = 180°

⇒ 31° + 81° + X = 180°

⇒ X = 68°

Therefore, the top angle of the triangle is 68°. (Answer)

7 0
3 years ago
In the past, the population proportion of consumers preferring orange juice with no pulp was equation. To test if this populatio
geniusboy [140]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

a) For the null hypothesis,

P = 0.45

For the alternative hypothesis,

P ≠ 0.45

b) For the decision rule, we would reject H0 if 0.1 > p value and accepth H0 if 0.1 < p value

Considering the population proportion, probability of success, p = 0.45

q = probability of failure = 1 - p

q = 1 - 0.45 = 0.55

Considering the sample,

Sample proportion, p = x/n

Where

x = number of success = 52

n = number of samples = 120

p = 52/120 = 0.43

c) We would determine the test statistic which is the z score

z = (p - P)/√pq/n

z = (0.43 - 0.45)/√(0.45 × 0.55)/120 = - 0.44

Recall, population proportion, P = 0.45

The difference between sample proportion and population proportion(P - p) is 0.45 - 0.43 = 0.02

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.45 - 0.02 = 0.43

the p for the right tail is 0.45 + 0.02 = 0.47

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.3336

We would double this area to include the area in the right tail of z = 0.44 Thus

p = 0.3336 × 2 = 0.67

d) Since alpha, 0.1 < than the p value, 0.67, then we would fail to reject the null hypothesis. Therefore, at a 1% level of significance, we do not have enough evidence to reject the​ null hypothesis

4 0
2 years ago
Mafalda has a save percentage of 0.7380.7380, point, 738 so far this hockey season. Last season, her save percentage was 0.5850.
Snowcat [4.5K]

Answer:

0.153

Step-by-step explanation:

We have been given that Mafalda has a save percentage of 0.738 so far this hockey season. Last season, her save percentage was 0.585.

To find improvement in Mafalda's save percentage we will subtract last season's save percentage from this season's save percentage.

0.738-0.585=0.153

Therefore, Mafalda's save percentage improved by 0.153.

6 0
2 years ago
Read 2 more answers
Bob makes 4% commission on his sales as a real estate agent. If Bob sells a house for $249,000, how much money does he make on t
Fynjy0 [20]

Answer:

$9,960

Step-by-step explanation:

249000 x 0.4 = 9960

3 0
3 years ago
Anyone know this geometry question?
andre [41]
Option D should be your answer.

No combo of any of those angles add up to exactly 180 to suggest that they are parallel lines. 
3 0
3 years ago
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