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3 years ago

Round the values below to the nearest hundredths

Mathematics

2 answers:

Serhud [2]3 years ago

7 0

To round it to hundreths, you need to look at the thousandths place.

3.23543

Since the thousandths place is 5, you round up.

3.23543 ↑ ≈ 3.24

89.49234

Since the thousands place is below 5, you round down.

89.49234 ↓ ≈ 89.49

Margarita [4]3 years ago

3 0

for the first answer:

3.23543 rounds to 3.24

for the second answer:

89.49234 rounds to 89.49

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An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you th

anastassius [24]

Answer:

0.288

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

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 question, we have that:

$\mu = 17.48, \sigma = 3.25, n = 10, s = \frac{3.25}{\sqrt{10}} = 1.027740$

Find the probability that the mean printing speed of the sample is greater than 18.06 ppm.

This is 1 subtracted by the pvalue of Z when X = 18.06. So

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

By the Central Limit Theorem

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

$Z = \frac{18.06 - 17.48}{1.027740}$

$Z = 0.56$

$Z = 0.56$ has a pvalue of 0.712

1 - 0.712 = 0.288

The answer is 0.288

7 0

3 years ago

in how many ways can a mail carrier place three letters in five mailboxes if each box may receive more than one letter?

Bad White [126]

Each box may receive more than one letter.

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3 years ago

F(x)=(x+7)^3 expand the function

nydimaria [60]

Step-by-step explanation:

F(x) = (x + 7)³

= 3C0 * x³ + 3C1 * x² * 7 + 3C2 * x * 7² + 3C3 * 7³

= x³ + 21x² + 147x + 343.

4 0

3 years ago

Read 2 more answers

In a particular class, exams are worth 50% of the overall grade, quizzes are worth 30% of the overall grade, homework is worth 1

Paha777 [63]

Answer:

The student's overall grade is 85.79%

Step-by-step explanation:

Given in the question that:

Exam = 50%; Quiz = 30%, Home work = 15% and Class participation = 5%

The total giving us 100%.

A particular student scored the following;

87.9% on exams, 77.8% quiz, 90% Home work and 100% on class participation

Calculating the percentages the student had for each;

Exam total = 50*0.879 = 43.95% earned

Quiz = 30*0.778 = 23.34% earned

Home work = 15*0.9 = 13.5% earned

Class participation = 5*1 = 5% earned

Total earned = 43.95+ 23.34 + 13.5+ 5 = 85.79%

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3 years ago

When a graphed line is vertical, it indicates that the relation is ?

GuDViN [60]

Answer:When a vertical line is placed across the plot of this relation, it intersects the graph more than once for some values of x. If a graph shows two or more intersections with a vertical line, then an input (x-coordinate) can have more than one output (y-coordinate), and y is not a function of x.

Step-by-step explanation:

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3 years ago