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3 years ago

What is 3 x 10,000 + 4 x 1,000 + 6 x 100 + 8 x 10 + 8 written in standard form?

Mathematics

1 answer:

Talja [164]3 years ago

4 0

Answer:

thirty four thousand six hundred and eighty eight

Step-by-step explanation:

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3 years ago

The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at

ArbitrLikvidat [17]

12 boys. 7 * 3 is 21. 21 girls. 4*3 is 12. 12 boys 21 girls

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3 years ago

Z divided by 3-2z + 4(z-8) when z = 18 A. -122 B. 6 C. -66 D. 10

murzikaleks [220]

Everywhere you see z, replace the letter with 18.

z/[(3- 2z)] + 4(z - 8)

18/[(3 - 2(18))] + 4(18 - 8)

You finish.

3 0

3 years ago

Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10

lina2011 [118]

Answer:

a) 6.68th percentile

b) 617.5 points

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 problem, we have that:

$\mu = 550, \sigma = 100$

a) A student who scored 400 on the Math SAT was at the ______ th percentile of the score distribution.

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

$Z = \frac{400 - 550}{100}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

So this student is in the 6.68th percentile.

b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.

He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.

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

$0.675 = \frac{X - 550}{100}$

$X - 550 = 0.675*100$

$X = 617.5$

6 0

3 years ago

Open Ended Dan takes an airplane to visit his parents. He pays the airline a total of $400. The cost of the ticket is $320. The

Morgarella [4.7K]

Answer:

Dan paid $80 for his luggage

Step-by-step explanation:

$400

-$320

= $80

Jake wants to go to a lil uzi vert concert. A lil uzi vert concert ticket cost $320. The backstage pass is only $400, so Jake pays for that instead. He later figured out that he wanted to lose 50 pounds before the concert in 6 months and for every time he goes to the gym he has to pay $10 he only goes to the gym 8 times and his bank account has $500 on it. How much money did he have left over after going to the gym 8 times? - PS don't worry about this question its just a fake scenario i made for the second part of your question hope this helps!!!

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3 years ago