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3 years ago

Please help me solve each question! Make sure to show work so I can earn full credit.

Mathematics

2 answers:

omeli [17]3 years ago

8 0

(1)

$5x-5\geq10\,\,\mbox{or}\,\,-3x+1>13\\5x\geq15\,\,\mbox{or}\,\,-3x>12\\x\geq3\,\,\mbox{or}\,\,x$

(2)

$5x + 3\leq18 \,\,\mbox{and}\,\,4 - x < 6\\5x\leq15 \,\,\mbox{and}\,\,- x < 2\\x\leq3 \,\,\mbox{and}\,\,x > 2\\2$

IgorC [24]3 years ago

5 0

Answer:

1. x < -4 or x ≥ 3

2. -2 < x ≤ 3<em> </em>

Step-by-step explanation:

1. 5x - 5 ≥ 10

5x ≥ 15

x ≥ 3

-3x + 1 > 13

-3x > 12

x < -4

Solution is x < -4 or x ≥ 3

2. 5x + 3 ≤ 18

5x ≤ 15

x ≤ 3

4 - x < 6

-x < 2

x > - 2

answer is -2 < x ≤ 3

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Step-by-step explanation:

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3 years ago

How do I find the value of z?

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Hello!

The answer is z = 16..

Solve it like this..

#1) Regroup terms

-3 = -7+z/4 ---> -3 = z/4 - 7

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#3) Do the addition.

-3 + 7 = z/4 ---> 4 = z/4

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3 years ago

Find the length of fencing required to go all the way around the rectangular field that is 136000mm wide and 425m long

Anna [14]

The answer is 57800m^2

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3 years ago

A card is drawn from a five-card hand. The cards are labeled A, B, C, D, F. Then a spinner with 3 sections labeled as 1, 2, 3 is

juin [17]

Answer:

The sample space is the set of all the possible outcomes of a given experiment.

Here, our experiment consists on:

Drawing a card from a five-card hand, such that the outcomes there are:

A, B, C, D, E (5 outcomes)

Followed by spinning a spinner with 3 sections labeled 1, 2 and 3 (3 outcomes).

The total number of outcomes of the combined event, is equal to the product between the numbers of outcomes for each event.

So for our experiment, the total number of outcomes is:

C = 5*3 = 15 outcomes.

And these outcomes are like:

Drawing the card A and spinning a 1 (represented with A-1)

Drawing the card C and spinning a 2 (represented with C-2)

etc.

The set of all possible outcomes are:

{A-1, A-2, A-3, B-1, B-2, B-3, C-1, C-2, C-3, D-1, D-2, D-3, F-1, F-2, F-3}

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3 years ago

ACT scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6.

KatRina [158]

Answer:

You need a z-score of at least 1.09 to get accepted.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this question, we have that:

$\mu = 20.9, \sigma = 5.6$

To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted?

We need to find Z when X = 27. So

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

$Z = \frac{27 - 20.9}{5.6}$

$Z = 1.09$

You need a z-score of at least 1.09 to get accepted.

3 0

3 years ago