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kati45 [8]
3 years ago
14

What is the correct way to write three hundred nine million, fifty-eight thousand, three hundred four? A. 390,580,304 B. 309,58,

34 C. 309,058,304 D. 395,834
Mathematics
2 answers:
vovikov84 [41]3 years ago
5 0
I THINK IT`S C

hope i helped :0
Leni [432]3 years ago
3 0
C. 309,058,304

Three hundred nine million is in the millions bracket; wherein, three is in the hundred million place and nine is in the one million place.

fifty-eight thousand is in the thousands bracket; wherein 0 is placed in the hundred thousand place, five is in the ten thousands place, and eight is in the one thousands place.

three hundred four is placed as such because three should be in the hundreds place, 0 is in the tens place, and 4 is in the ones place.

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First read it little by little like I did : )

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Write the number 1.665 × 10-1 in standard form.
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0.1665 is standard form
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(10 points)Assume IQs of adults in a certain country are normally distributed with mean 100 and SD 15. Suppose a president, vice
vesna_86 [32]

Answer:

0.0139 = 1.39% probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

Step-by-step explanation:

To solve this question, we need to use the binomial and the normal probability distributions.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

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.

Probability the president will have an IQ of at least 107.5

IQs of adults in a certain country are normally distributed with mean 100 and SD 15, which means that \mu = 100, \sigma = 15

This probability is 1 subtracted by the p-value of Z when X = 107.5. So

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

Z = \frac{107.5 - 100}{15}

Z = 0.5

Z = 0.5 has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 probability that the president will have an IQ of at least 107.5.

Probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

First, we find the probability of a single person having an IQ of at least 130, which is 1 subtracted by the p-value of Z when X = 130. So

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

Z = \frac{130 - 100}{15}

Z = 2

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

Now, we find the probability of at least one person, from a set of 2, having an IQ of at least 130, which is found using the binomial distribution, with p = 0.0228 and n = 2, and we want:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{2,0}.(0.9772)^{2}.(0.0228)^{0} = 0.9549

P(X \geq 1) = 1 - P(X = 0) = 0.0451

0.0451 probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

What is the probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130?

0.3085 probability that the president will have an IQ of at least 107.5.

0.0451 probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

Independent events, so we multiply the probabilities.

0.3082*0.0451 = 0.0139

0.0139 = 1.39% probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

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Mike has 1/2 a bottle of bathroom cleaner left . he uses 1/3 of the bathroom cleaner.what fraction of the bottle does he have?
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Left = Total - used = 1/2 - 1/3 = 1/6 
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A bank requires a monthly payment of $32.88 on a $2500 loan. At the same rate find the monthly payment on a $50,000 loan
Bingel [31]

$ 657.6

Step-by-step explanation:

Step 1:

Given,

Principal = $2500

Monthly payment  = $32.88

Step 2 :

The amount of monthly payment and the principal amount are in direct proportion , that is when the principal amount increases the monthly payment increases and when the principal decreases the monthly payment decreases.

Step 3 :

The monthly payment for $2500 is $32.88

Therefore for a principal of $50000, the amount of  monthly payment is

32.88 *50000/2500 = $657.6

6 0
3 years ago
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