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kaheart [24]
3 years ago
10

Clearer photo—————————

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer:

29

Step-by-step explanation:

Since all triangles have to add up to 180, we can do the sum of the two angles we know minus 180. 90+61=151, 180-151=29

So your answer would be 29

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4x+10

Step-by-step explanation:

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5(7-4) written and answered in distributive property
MrRa [10]
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you "distribute" the 5 but multiplying it to both numbers in the parentheses, and doing the subtraction.
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SUZANNE rode her bike 15mph for 12 mins then rode 12mph for 20 mins how far did she ride
Anika [276]

Answer:

7 miles

Step-by-step explanation:

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3 years ago
Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. ​(a) Descri
OlgaM077 [116]

Part a)

The simple random sample of size n=36 is obtained from a population with

\mu = 74

and

\sigma = 6

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

\mu = 74

The standard error of the means becomes the standard deviation of the sampling distribution.

\sigma_ { \bar X }  =  \frac{ \sigma}{ \sqrt{n} }  \\ \sigma_ { \bar X }  =  \frac{ 6}{ \sqrt{36} }  = 1

Part b) We want to find

P(\bar X \:>\:75.9)

We need to convert to z-score.

P(\bar X \:>\:75.9)  = P(z \:>\: \frac{75.9 - 74}{1} )  \\  = P(z \:>\: \frac{75.9 - 74}{1} ) \\  = P(z \:>\: 1.9) \\  = 0.0287

Part c)

We want to find

P(\bar X \: < \:71.95)

We convert to z-score and use the normal distribution table to find the corresponding area.

P(\bar X \: < \:71.95)  = P(z \: < \: \frac{71.9 5- 74}{1} )  \\  = P(z \: < \: \frac{71.9 5- 74}{1} ) \\  = P(z \: < \:  - 2.05) \\  = 0.0202

Part d)

We want to find :

P(73\:

We convert to z-scores and again use the standard normal distribution table.

P( \frac{73 - 74}{1} \:< \: z

5 0
3 years ago
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