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miss Akunina [59]
2 years ago
9

Jack earned $6.00 per hour before being given a 3% raise. What was Jack’s new wage after the raise?

Mathematics
1 answer:
mixas84 [53]2 years ago
7 0

Answer:

$6.18 per hour

Step-by-step explanation:

  • 3% of 6 is 0.18

You can get this number by multiplying 0.03 by 6

  • Add 0.18 to 6 and that gives Jack $6.18
You might be interested in
Why is 186,426 divisible by 3 and 9
Zepler [3.9K]
The divisibility rule
For example
The divisibility rule for three is adding the number together
1+8+6+4+2+6= 27
And 3 is divisible by 27
And for nine
It’s similar to three
7 0
3 years ago
Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5
LiRa [457]

Answer:

11.51% probability that it will take less than 450 days to train all the contestants.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

Approximate the probability that it will take less than 450 days to train all the contestants.

This is the pvalue of Z when X = 450.

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

By the Central Limit Theorem

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

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

8 0
3 years ago
WORTH 6 POINTS!! Bob has 2 3/4 gallons of lemonade, 3 5/8 gallons of punch, and a 5 gallon's of soda. He invites 20 of his frien
kolezko [41]
So,

We need to convert the gallons into cups.

1 gal. = 16 c.

2 3/4 gal. = 2(16) + 3/4(16) = 32 + 12 = 44

3 5/8 gal. = 3(16) + 5/8(16) = 48 + 10 = 58

5 gal. = 5(16) = 80

There are 20 + 15 = 35 people.  Therefore, Bob's friends will drink a total of 35 cups of lemonade, 35 cups of punch, and 35 cups of soda.  We just need to subtract these amounts from what Bob has.

44 - 35 = 9 cups of lemonade

58 - 35 = 23 cups of punch

80 - 35 = 45 cups of soda

Obviously, then, Bob will have enough drinks.

He has 9 cups of lemonade, 23 cups of punch, and 45 cups of soda left over.  In gallons, he has 9/16 gallons of lemonade, 1 7/16 gallons of punch, and 2 13/16 gallons of soda left over.
7 0
3 years ago
Write down a fraction that is more than 41% less than 42%<br> brainiest awarded!
liberstina [14]

Answer:

83/200

Step-by-step explanation:

41%=41/100=0.410

42%=21/50=0.420

41.5%=83/200=0.415

3 0
2 years ago
Please help I have 15 minutes!!!!!!
d1i1m1o1n [39]

Step-by-step explanation:

False

make sure to mark brainliest

8 0
3 years ago
Read 2 more answers
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