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Amanda [17]
3 years ago
7

Solve the inequality 7(x + 4) > 0. a.x -4 c.x 4

Mathematics
2 answers:
docker41 [41]3 years ago
7 0
7(x+4) \ \textgreater \  0 \ \ \ /:7 \\  \\ x+4 \ \textgreater \ 0 \\  \\ x \ \textgreater \  -4

==================================
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<em>"Associate with people who are likely to improve you."</em>
sesenic [268]3 years ago
5 0
Solve your inequality step-by-step.

7(x+4)>0

Simplify both sides of the inequality.

7x+28>0

Subtract 28 from both sides
.
7x+28−28>0−28

7x>−28

Divide both sides by 7.

7x/7 > −28/7

x > −4

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There are three motors available to repair Ralph’s vacuum cleaner. Motor #1 has a 65% chance of breaking by the end of the week.
Orlov [11]

Answer:

0.619

Step-by-step explanation:

from the question we have the following data:

probability of motor 1 breaking = 65% = 0.65

probability of motor 2 breaking = 35% = 0.35

probability of motor 3 breaking = 5% = 0.05

since we have 3 motors the probability of any of them breaking down is  = \frac{1}{3}

but what the question requires from us is the conditional probability of the first one being installed

we have to solve this questions using bayes theorem

such that:

\frac{0.65*\frac{1}{3} }{0.65*\frac{1}{3}+0.35*\frac{1}{3}+0.05*\frac{1}{3}   }

= \frac{0.2167}{0.2167+0.1167+0.0167}

= \frac{0.2167}{0.3501}

= 0.618966

approximately 0.619

therefore the conditional probability ralph installed the first motor is 0.619

8 0
3 years ago
Define the term isomer
Tema [17]
Physics: each of two or more atomic nuclei that have the same atomic number and the same mass number but different energy states.

chemistry: each of two or more compounds with the same formula but a different arrangement of atoms in the molecule and different properties.
8 0
3 years ago
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3 years ago
IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identi
riadik2000 [5.3K]

Answer:

IQ scores of at least 130.81 are identified with the upper 2%.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 100 and a standard deviation of 15.

This means that \mu = 100, \sigma = 15

What IQ score is identified with the upper 2%?

IQ scores of at least the 100 - 2 = 98th percentile, which is X when Z has a p-value of 0.98, so X when Z = 2.054.

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

2.054 = \frac{X - 100}{15}

X - 100 = 15*2.054

X = 130.81

IQ scores of at least 130.81 are identified with the upper 2%.

7 0
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5 0
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