All categories

3 years ago

Rounded to the nearest thousandth, what is the decimal equivalent of?

1 answer:

3 0

Rounding Decimals to the Nearest Thousandth - Math A Tube. Number to the right of the thousandth digit is 4. Remember: If less than 5, round down.

To round numbers to the nearest thousand, make the numbers whose last three digits are 001 through 499 into the next lower number that ends in 000. For example, 6424 rounded to the nearest thousand is 6000. Numbers that have the last three digits of 500 or more should be rounded up to the next even thousand.

If we want to round 4.732 to 2 decimal places, it will either round to 4.73 or 4.74. 4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places). 4.737 rounded to 2 decimal places would be 4.74 (because it would be closer to 4.74).

You might be interested in

Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the

ahrayia [7]

Answer:

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

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:

$\mu = 180, \sigma = 8$

What is the probability that a randomly selected individual will be between 185 and 190 pounds?

This probability is the pvalue of Z when X = 190 subtracted by the pvalue of Z when X = 185. So

X = 190

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

$Z = \frac{190 - 180}{8}$

$Z = 1.25$

$Z = 1.25$ has a pvalue of 0.8944

X = 185

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

$Z = \frac{185 - 180}{8}$

$Z = 0.63$

$Z = 0.63$ has a pvalue of 0.7357

0.8944 - 0.7357 = 0.1587

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

3 0

3 years ago

A jar contains five red marbles and three green marbles. A marble is drawn at random and not

Alex787 [66]

5+3=8
Every time you draw, its minus one from denominator

1st marble red: 5/8

2nd marble green: 3/7

5 0

3 years ago

Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2

Vlad [161]

Answer

B) y = 3

Step-by-step explanation

Given the system of equations:

$\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}$

Isolating x from equation 1:

$\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}$

Substituting equation 3 into equation 2 and solving for y:

$\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}$

6 0

1 year ago

Find the value of x.

svetoff [14.1K]

Answer:

x=17 plz the brainliest!

Step-by-step explanation:

3x+39=90

3x+39-39=90-39

3x=51

\frac{3x}{3}=\frac{51}{3}

x=17

3 0

3 years ago

What is the slope of a line that is parallel to the line shown on the graph?

SSSSS [86.1K]

Answer:

I'm 98% sure its c. 1/4

Step-by-step explanation:

in order for a line to be parallel to another they have to be on different y intercepts but have the same slope causing them to never intersect.

the slope of the graph on the line is 1/4 because of rise over run

7 0

3 years ago

Read 2 more answers