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patriot [66]
3 years ago
13

Translate the following phrase into an inequality:

Mathematics
1 answer:
alex41 [277]3 years ago
4 0

Answer:

The term "at least" means the lowest number you can have. In other words, you cannot have a number less than that point. So we use the greater than or equal symbol.

x - 3 ≥ - 5

Add 3 on both sides of the inequality.

x ≥ -2

x is any number greater than or equal to -2.

If the term was "at most", then that is the highest number you can have, and you can go no higher than that. In this case, we would have used the less than or equal to symbol.

These terms are important to understand when working with inequalities.

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Please help I found this one a bit confusing ​
Brums [2.3K]

Answer:

7.2

Step-by-step explanation:

To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.

The Pythagorean Theorem states that a^2+b^2=c^2. If we plug the side lengths in for a and b, we get 4^2 + 6^2 = c^2. This can be simplified to 16+36=c^2, or 52 = c^2. If we root both sides, we find that c is equal to \sqrt{52}, which is slightly more than 7, at around 7.2.

4 0
2 years ago
A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam
Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

\mu = 65, \sigma = 8.2

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

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

-1.96 = \frac{X - 65}{8.2}

X - 65 = -1.96*8.2

X = 48.93

The score that cuts off the bottom 2.5% is 48.93.

8 0
3 years ago
Read 2 more answers
Given the function f(x) = -5|x + 11 + 3, for what values of x is f(x) = -12?
katen-ka-za [31]

Answer: B

Step-by-step explanation:

6 0
3 years ago
The cost of two mopeds is the same as the cost of seven bicycles. the cost of one bicycle is $152. therefore, the cost of one mo
DanielleElmas [232]
7 bicycles dived by two mopeds = 3.5
$152 x 3.5 = $532

your answer is $532. 
7 0
3 years ago
What is area of each circle below?
KiRa [710]

Answer:

Step-by-step explanation: A= (Pi) x r^2

4 0
3 years ago
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