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3 years ago

Which digit has the greatest value in the number 1,567

Mathematics

1 answer:

Nookie1986 [14]3 years ago

7 0

Seven has the greatest value as a digit, but 1, 000 has the greatest standard form value.

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Raymond bought 3/4 of dozen rolls. How many rolls did he buy?

Juliette [100K]

Hey there! A dozen rolls = 12 rolls, of means multiply, we are going to multipy 3/4 by 12, make 12 a fraction, 12=12/1. Now, we can multiply 3/4 by 12/1. 3/4×12/1=36/4. Simplify 36/4 to 9. So, Raymond bought 9 rolls.

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3 years ago

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Liula [17]

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4 years ago

What is the equation for Pythagorean theorem

kotegsom [21]

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Step-by-step explanation:

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3 years ago

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5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). Th

xz_007 [3.2K]

Answer:

The probability that X is between 1.48 and 15.56 is $P(1.48 \leq X \leq 15.56) = 0.919$

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 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.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that $\mu = 8, \sigma = 4$

The probability that X is between 1.48 and 15.56

This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So

X = 15.56

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

$Z = \frac{15.56 - 8}{4}$

$Z = 1.89$

$Z = 1.89$ has a pvalue of 0.9706

X = 1.48

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

$Z = \frac{1.48 - 8}{4}$

$Z = -1.63$

$Z = -1.63$ has a pvalue of 0.0516

0.9706 - 0.0516 = 0.919

Write out the probability notation for this question.

$P(1.48 \leq X \leq 15.56) = 0.919$

The probability that X is between 1.48 and 15.56 is $P(1.48 \leq X \leq 15.56) = 0.919$

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3 years ago

The completely factored form of 2d^4 + 6d^3 - 18d^2 - 54d is

Pachacha [2.7K]

The first step we take is to factor out a GCF:

2d(d³ + 3d² - 9d - 27)

Now, we can factor what's in the parenthesis by grouping (don't forget to keep the 2d we factored out):

2d[d²(d+3) -9(d+3)]
2d(d²-9)(d+3)

d²-9 can still be factored because it is the difference of two squares:

2d(d+9)(d-9)(d+3)

That is the completely factored form.

3 0

3 years ago