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GREYUIT [131]
3 years ago
6

If one-third of a number is greater than five less than twice the number, which of the following is true? x < 3, x > -3, x

> -3/5, x < 3/5
Mathematics
2 answers:
dem82 [27]3 years ago
5 0
The answer is gonna be x<3
Ghella [55]3 years ago
5 0

Answer:  The correct option is

(A) x < 3.

Step-by-step explanation:  Given that one-third of a number is greater than five less than twice the number.

We are to select the inequality that is TRUE.

Let the required number be represented by x.

Then, according to the given information,we have

\dfrac{1}{3}x>2x-5\\\\\\\Rightarrow x>3(2x-5)\\\\\Rightarrow x>6x-15\\\\\Rightarrow x-6x>-15\\\\\Rightarrow -5x>-15\\\\\Rightarrow 5x-b~~~\Rightarrow a

Thus, the true statement is x < 3.

Option (A) is CORRECT.

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Answer: 54:4

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2 years ago
Perform the operation. (-2x^2-4x+2)-(-6x+2) (−2x 2 −4x+2)−(−6x+2)
AleksandrR [38]

Answer:

-50x^2+30x-4

Step-by-step explanation:

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3 years ago
Morgan is making accessories for the soccer team. She uses 822.48 inches of fabric on headbands for 43 players and 3 coaches. Sh
emmasim [6.3K]

Answer:

headband 17.88

Wristband 9.31

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6 0
2 years ago
Assume that the random variable X is normally distributed, with mean 60 and standard deviation 16. Compute the probability P(X &
elixir [45]

Answer:

P(X < 80) = 0.89435.

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 = 60, \sigma = 16

P(X < 80)

This is the pvalue of Z when X = 80. So

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

Z = \frac{80 - 60}{16}

Z = 1.25

Z = 1.25 has a pvalue of 0.89435.

So

P(X < 80) = 0.89435.

5 0
3 years ago
What is 11pt=_fl oz?
Igoryamba

11 pt. = 176 oz.

(Double-check if this doesn't sound correct)

4 0
3 years ago
Read 2 more answers
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