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miv72 [106K]
2 years ago
15

Work out the size of angle x

Mathematics
2 answers:
brilliants [131]2 years ago
7 0
Answer

x = 121°

Explanation

Angle bottom left corner.

Since the triangle touches a horizontal plane, we know the 2 angles have to add up to 180 degrees.

115 + x = 180

x = 180-115 = 65°

Angle at the top

We know a full circle is 360 degrees.

Let’s say the triangle angle is x

x + 304 = 360

360 - 304 = 56°

Angle of triangle at the bottom right.

We know angles of a triangle add up to 180°.

Since we just calculated the 2 other triangles:

56° + 65° + x = 180

180 - 56 - 65 = 59°

As the triangle sits on a horizontal plane, the angle marked x in the picture + the interior angle have to add to 180.

59° + x = 180

x = 180 - 59 = 121°
alisha [4.7K]2 years ago
6 0

Answer:

hope its helpful........

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A coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers
Cerrena [4.2K]

Answer:

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

For this case the value of \mu represent the parameter associated to the population (True average of cofee temperature)

Step-by-step explanation:

Data given and notation  

\bar X=70.2 represent the mean height for the sample  

s represent the sample standard deviation for the sample  

n=20 sample size  

\mu_o =765 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean i equal to 70.2, the system of hypothesis would be:  

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

For this case the value of \mu represent the parameter associated to the population (True average of cofee temperature)

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