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3 years ago

Jason lost one fourth of his pencils. Later, he bought 3 more. He now has 12 pencils. How many did he start with?

Mathematics

2 answers:

Oxana [17]3 years ago

8 0

Answer:

he started with 12 pencils

Step-by-step explanation:

lost 2.25 of his pencils

got 3 more

12 total

12-3=9

9 is 3/4 of the starting number

3,6,*9*,12

Rudiy273 years ago

4 0

Jason started with 9 pencils.

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You can read 20 pages in 45 minutes. how many pages can you read in 1 minute

butalik [34]

Answer:

enough to process what a word is

Step-by-step explanation:

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3 years ago

Write the equation of the line in fully simplified slope-intercept form.

coldgirl [10]

Y= -1/2x - 4

hope this helps! :)

7 0

3 years ago

The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10

steposvetlana [31]

Using the normal distribution, it is found that the probability is 0.16.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, $\mu = 70, \sigma = 3$ .

The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:

X = 67:

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

$Z = \frac{67 - 70}{3}$

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

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

$Z = \frac{45 - 70}{3}$

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at brainly.com/question/24663213

3 0

2 years ago

Match each as either linear or non-linear. HELP

Virty [35]

Answer:

<u>Linear</u>

y=-x

$y = \frac{x}{9}$

$- \frac{2}{3}x + 3y = 1$

<u>Non linear</u>

$y = \frac{4}{x}$

$\frac{2}{y} = x$

${x}^{2} + {y}^{2} = 1$

Step-by-step explanation:

Linear equations have the highest degree to be 1.

Therefore y=-x is linear.

$y = \frac{x}{9} \: is \: also \: linear.$

$y = \frac{4}{x} \implies \: xy = 4$

The degree of this equation is 2.

It is non-linear

$- \frac{2}{3}x + 3y = 1$

is also linear.

$\frac{2}{y} = x \implies \: xy = 2....non - linear$

${x}^{2} + {y}^{2} = 1.....non - linear$

7 0

3 years ago

The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth-graders. Scores on the test range

LiRa [457]

Answer:

Its standard deviation is 3.79.

Step-by-step explanation:

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.

In this problem, we have that:

$\sigma = 125, n = 1089$

$s = \frac{125}{\sqrt{1089}} = 3.79$

Its standard deviation is 3.79.

7 0

3 years ago