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Olenka [21]
3 years ago
14

3+m+4≤5 please help due tommorow

Mathematics
2 answers:
ruslelena [56]3 years ago
7 0
3+m+4 \leq 5 \\\\ m+7 \leq 5 \\\\ m \leq 5-7 \\\\ m \leq -2 \\\\ \boxed{m=(-\infty;-2]}
algol [13]3 years ago
7 0
3+m+4≤5
m+7≤5
m+7-7≤5-7 (you have to subtract 7 on both sides)
m≤-2
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How many centimetres is 0.7 inches? Round to the nearest tenth.
wlad13 [49]

it is 1.8 centimeters

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2 years ago
It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir
Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, we find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

\sigma = \sqrt{484} = 22

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

M = z*\frac{\sigma}{\sqrt{n}}

5 = 1.96*\frac{22}{\sqrt{n}}

5\sqrt{n} = 43.12

\sqrt{n} = \frac{43.12}{5}

\sqrt{n} = 8.624

(\sqrt{n})^{2} = (8.624)^{2}

n = 74.4

We need a sample size of at least 75.

6 0
3 years ago
Read 2 more answers
63 first-year teachers and 27 experienced teachers attended a school staff meeting. What percentage of the teachers in the meeti
nexus9112 [7]

Answer: 70%

Step-by-step explanation:

Step 1:

Total number of teachers = 63 + 27

                                            =  90

Step 2:

The percentage of the teachers in the meeting were first-year teachers:

(63 ÷ 90) × 100 = 70%

4 0
3 years ago
A career placement test eliminates a profession when a person receives a score of 18 or less. If the score is calculated
Volgvan

Answer:

See the figure attached

Step-by-step explanation:

Let's call :

x: positive response

y: negative response

then the score is:

2x - 3y

A career placement test eliminates a profession when a person receives a score of 18 or less, that's represented by the following inequality:

2x - 3y ≤ 18

3 0
3 years ago
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Cory's average score after 8 tests is 91%. If he gets a 78% on his 9th test what will his new average be?
Luda [366]
You should be able to multiply 91 by 8 to get the sum of the first 8 tests, then add the score on the 9th test. Then to get the average of the sum of the 9 tests you need to divide it by 9.
((91*8)+78)/9=89.555555555555.... So, 90%
3 0
3 years ago
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