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Stells [14]
3 years ago
6

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
Shkiper50 [21]3 years ago
8 0

Step-by-step explanation:

114° thats what i got when i calculated

Montano1993 [528]3 years ago
7 0
Explanation:

to find the total measure of degrees for any shape use the formula:

(n-2)180, where n= number of sides

there are 7 sides in this shape, so plug in 7 for n:

(7-2)180, which equals 900°

next, subtract all the angles in the shape to find x:

900 - 139 - 121 - 125 - 126 - 158 - 120 = 111

answer: x = 111°


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The volume of a triangular prism with base dimensions of 4 cm height and 10 cm base and a prism height of 15 cm is??
jonny [76]
I think you can do this way:
Volume = B*h where B is the area of the base.
B= 4 * 10 = 40
V= 40 * 15
V= 600 cm^3
5 0
3 years ago
Read 2 more answers
Simplify each expression<br> 1.) (7+x) + 7x<br><br><br><br> Pls show your work
Papessa [141]
The answer is 14x.

You always have to do whats in the parenthesis first. In this case you would do 7 + x = 7x. Then, you add this 7x to the other 7 x. 7x+7x=14x.
8 0
3 years ago
Q 4.19: To verify whether there are negative consequences of taking a new type of medicine, 3000 tests were conducted. Assume th
tiny-mole [99]

Answer:

The p-value obtained is less than the significance level at which the test was performed at, hence, we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Step-by-step explanation:

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the new medicine has no negative effects and the alternative hypothesis is that the new medicine is potentially harmful

Mathematically,

The null hypothesis is represented as

H₀: p = 0

The alternative hypothesis is represented as

Hₐ: p > 0

To do this test, we will use the z-distribution because although no information on the population standard deviation is known, the sample size is large enough.

So, we compute the test statistic

z = (x - μ)/σₓ

x = sample proportion = (31/3000) = 0.0103

μ = p₀ = 0

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 3000

σₓ = √[0.0103×0.9897/3000] = 0.0018462936 = 0.0018463

z = (0.0103 - 0) ÷ 0.0018463

z = 5.60

checking the tables for the p-value of this test statistic

Significance level = 1% = 0.01

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for z = 5.60, at 0.01 significance level, with a one tailed condition) = < 0.00001

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.01

p-value = < 0.00001

p-value < 0.00001 < 0.10

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Hope this Helps!!!

6 0
3 years ago
The length of the minute hand of a clock is
svetlana [45]

Answer:

Therefore,

The length of the path traced  by the outer tip of the minute hand in one hour, is 88 inches.

Step-by-step explanation:

Given:

The length of the minute hand of a clock is,

Which is as Radius,

Therefore,

Radius = r = length of the minute hand = 14\ inches

pi = 22/7

To Find:

The length of the path traced  by the outer tip of the minute hand in one hour, will be One full rotation, that is

Circumference, C = ?

Solution:

Circumference, is given by,

Circumference = 2\pi r

Circumference = 2\times \dfrac{22}{7}\times 14=88\ inches

Therefore,

The length of the path traced  by the outer tip of the minute hand in one hour, is 88 inches.

7 0
3 years ago
Find three numbers whose product is -64
katrin [286]

Answer:

8, -8 and 1

Step-by-step explanation:

6 0
3 years ago
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