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True [87]
3 years ago
15

Math test questions Find the measurement of the unknown angle​

Mathematics
2 answers:
Evgen [1.6K]3 years ago
6 0
The correct answer is 65°
crimeas [40]3 years ago
4 0

Answer:

The unknown angle is 65°

Step-by-step explanation:

Let the unknown angle be y

40°+75°+y = 180°

y = 180°-115°

y = 65°

Therefore, the unknown angle is 65°

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In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home. Give the value of th
astra-53 [7]

Answer:

The value of the standard error for the point estimate is of 0.0392.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.

This means that n = 100, p = \frac{81}{100} = 0.81

Give the value of the standard error for the point estimate.

This is s. So

s = \sqrt{\frac{0.81*0.19}{100}} = 0.0392

The value of the standard error for the point estimate is of 0.0392.

7 0
3 years ago
Geometry help quickly
lbvjy [14]

Answer:

RQ = 18

Step-by-step explanation:

KR is an angle bisector and divides the opposite side into segments that are proportional to the other two sides, that is

\frac{KP}{KQ} = \frac{PR}{RQ} , substitute values

\frac{50}{45} = \frac{38-x}{x} ( cross- multiply )

45(38 - x) = 50x ← distribute left side

1710 - 45x = 50x ( add 45x to both sides )

1710 = 95x ( divide both sides by 95 )

18 = x

That is RQ = 18

6 0
3 years ago
Last year 49 people adopted a manatee through fia’s foundation. This year 15% more people adopted a manatee. How many people ado
borishaifa [10]

The equation is 49 times .15 which equals 7.35 then you add that to 49 which equals 56.35. Hope that helps and sorry if its wrong

6 0
3 years ago
What does ‘j’ equal
IgorLugansk [536]

Answer:

J=-50

Step-by-step explanation:

6 0
4 years ago
Students in a middle school must choose to take either Band or Chorus. In a given academic year, 60% of the pupils choose Band a
grigory [225]
Pupils that chose Band: 60%
Pupils that chose Chorus: 40%
Boys in band: 70%
Boys in chorus: 30%
Probability of choosing boy = Probability of boy in band + Probability of boy in chorus
P = 0.6 x 0.7 + 0.4 x 0.3
P = 0.54
The answer is D.
3 0
3 years ago
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