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masha68 [24]
3 years ago
9

Solve the inequality 6 is greater or equal than m- 1

Mathematics
1 answer:
Musya8 [376]3 years ago
3 0

Answer:

7 ≥ m OR m ≤ 7

Step-by-step explanation:

You can actually solve this in two ways , either :

6 ≥ m - 1

6 + 1 ≥ m

7 ≥ m

OR

m -1 ≤ 6

m ≤ 6 + 1

m ≤ 7

Both are correct.

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Multiply the following complex numbers:<br>(7-3i)(8 + 4i)​
mel-nik [20]

Answer:

A

Step-by-step explanation:

Noting that i² = - 1

Given

(7 - 3i)(8 + 4i) ← expand factors using FOIL

= 56 + 28i - 24i - 12i²

= 56 + 4i - 12(- 1)

= 56 + 4i + 12

= 68 + 4i → A

3 0
3 years ago
Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If th
ioda

Answer:

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be 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.

Mean of 69.0 inches and a standard deviation of 2.8 inches.

This means that \mu = 69, \sigma = 2.8

What is the bottom cutoff heights to be eligible for this experiment?

The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.

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

-1.037 = \frac{X - 69}{2.8}

X - 69 = -1.037*2.8

X = 66.1

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

8 0
3 years ago
In triangle abc what is the value of cos b A 5/13 B 12/13 C 5/12 D 13/12
Mumz [18]

Answer:

\boxed{Option \ B}

Step-by-step explanation:

In the triangle,

Hypotenuse = 13

Opposite = Perpendicular = 5

Adjacent = Base = 12

Now,

Cos B = \frac{Adjacent}{Hypotenuse}

Cos B = 12/13

If the triangle is just like in the attached file!

5 0
3 years ago
42 is 200% of what number
svetlana [45]
Divide 42 by 2 and get 21.
7 0
3 years ago
Brandon drew a scale drawing of a hotel. a room in the hotel is 18 inches wide in the drawing. the actual room is 12 feet wide,
Contact [7]
3inches=1 1/2 feet I believe but I'm not to sure about it you will have to the math this is just my answer to you guys sorry if its wrong at least I tried


3 0
3 years ago
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