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Ilya [14]
3 years ago
14

Values that are solutions to the inequality x2 + 3x – 4 > 0.

Mathematics
1 answer:
natka813 [3]3 years ago
8 0

x^2 + 3x - 4 > 0\\
x^2-x+4x-4>0\\
x(x-1)+4(x-1)>0\\
(x+4)(x-1)>1\\
x\in(-\infty,-4)\cup(1,\infty)

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1/2 of the people in the clinic are men, 1/3 are elderly, how many people are not elderly or men?
Nostrana [21]

1/6 of the people are not elderly or men

<h3>How to determine the proportion?</h3>

The given parameters are:

Men = 1/2

Elderly = 1/3

The number of people that are not elderly or men are:

People = 1 - Men - Elderly

So, we have:

People = 1 - 1/2 - 1/3

Evaluate

People = 1/6

Hence, 1/6 of the people are not elderly or men

Read more about proportion at:

brainly.com/question/1781657

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2 years ago
1. How many degrees is x<br> .x<br> 41<br> 82<br> 20.5<br> o<br> 41<br> О<br> 10
Alja [10]

Answer:

Option (1)

Step-by-step explanation:

By the inscribed angle theorem inside a circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"

\frac{1}{2}[m(arc AB)] = m(∠ABC)

m(arc AB) = 2[m(∠ABC)]

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x = 82°

Option (1) is the correct option.

5 0
2 years ago
How much do you save per class by taking the longer-term class: Weight Training, $200 for 18 weeks (54 classes) or $350 for 36 w
Vsevolod [243]

<u>Shorter term class:</u>

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<u>Longer term class:</u>

You pay $350 for 108 classes in total, So,

\frac{350}{108} =3.241 dollars per class (rounded to 3 decimal places)


Hence, by taking longer term classes, you save around 3.704-3.241=0.463 dollars.

Rounding to 2 decimal places, you save $0.46 per class.


ANSWER: You save $0.46 per class.

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2 years ago
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The scores for a certain test of intelligence are normally distributed with mean 85 and standard deviation 11. Find the 90th per
jonny [76]

Answer:

99.1 is the 90th percentile of these scores.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 85

Standard Deviation, σ = 11

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.90

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Calculation the value from standard normal z table, we have,  

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Thus, 99.1 is the 90th percentile of these scores.

5 0
3 years ago
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