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trapecia [35]
2 years ago
11

Help a brother out grades go in tomorrow

Mathematics
2 answers:
jeka57 [31]2 years ago
6 0

Answer:

a. 3/8

Step-by-step explanation:

Elis [28]2 years ago
3 0

Answer:

A.                         Have a wonderful day! o(^▽^)o

Step-by-step explanation:

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Two angles are complementary. The first angle is 2x degrees. The second angle is (3x +5) degrees. Determine the measure of each
bixtya [17]

Answer:

70 and 110

Step-by-step explanation:

First angle -- 2x

Second angle -- 3x + 5

Therefore,

2x + 3x + 5 = 180

5x = 175

x = 35

Therefore, 2x -- 70

3x + 5 -------------110

Thenks and mark me brainliest :)

8 0
3 years ago
The first term of an arithmetic sequence is 1 and the sum of the first four terms is 100. Find the first four terms ​
7nadin3 [17]

Answer:

1, 17, 33, 49

Step-by-step explanation:

given the first term is 1 then the next 3 terms are

1 + d, 1 + 2d, 1 + 3d ( d is the common difference )

the sum of the first 4 terms is 100 , then

1 + 1 + d + 1 + 2d + 1 + 3d = 100 , that is

4 + 6d = 100 ( subtract 4 from both sides )

6d = 96 ( divide both sides by 6 )

d = 16

1 + d = 1 + 16 = 17

1 + 2d = 1 + 2(16) = 1 + 32 = 33

1 + 3d = 1 + 3(16) = 1 + 48 = 49

the first 4 terms are

1, 17, 33, 49

3 0
2 years ago
Read 2 more answers
One number is 2 more than 3 times another. Their sum is 22. Find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12
xxTIMURxx [149]

9514 1404 393

Answer:

  (b)  5, 17

Step-by-step explanation:

You can try the answer choices easily enough.

  2 +3×8 ≠ 14

  2 +3×5 = 17 . . . . this choice works (5, 17)

  2 +3×2 ≠ 20

  2 +3×4 ≠ 18

  2 +3×10 ≠ 12

__

Or, you can solve the equation:

  x + (2 +3x) = 22

  4x = 20 . . . . . . . . subtract 2

  x = 5 . . . . . . . . . . divide by 4

The numbers are 5 and (22 -5) = 17.

5 0
3 years ago
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.8. (Round your ans
Alenkinab [10]

Answer:

a) 0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

b) 0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

In this problem, we have that:

\mu = 50, \sigma = 1.8

(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 17 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{17}} = 0.4366

This probability is 1 subtracted by the pvalue of Z when X = 51. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{51 - 50}{0.4366}

Z = 2.29

Z = 2.29 has a pvalue of 0.9890

1 - 0.989 = 0.011

0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

(b) What is the (approximate) probability that the sample mean hardness for a random sample of 45 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{45}} = 0.2683

Z = \frac{X - \mu}{s}

Z = \frac{51 - 50}{0.0.2683}

Z = 3.73

Z = 3.73 has a pvalue of 0.9999

1 - 0.9999 = 0.0001

0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

8 0
3 years ago
Please help me with these two question
BaLLatris [955]
I beleive 1 is C, and 2 is B!
6 0
3 years ago
Read 2 more answers
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