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3 years ago

5

While hiking, Sanjay went up 200 meters. If Sanjay started at 500 meters above sea level, which integers represents his elevatio

n now?

1 answer:

Aliun [14]3 years ago

3 0

Answer:300

Step-by-step explanation:

-200+500=300

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Help me I don’t understand it?

photoshop1234 [79]

let's do 1, 5, 6, 10 and 13.

1)

well, the denominator is the same on each, so we simply have to look at the numerator, who is larger 3 or 5? 3 < 5, 3 is less than 5, so then........ $\bf \cfrac{3}{12}$

5)

$\bf \begin{cases} \cfrac{2}{4}\implies \cfrac{1}{2} \\\\\\ \cfrac{10}{20}\implies \cfrac{1}{2} \end{cases}\qquad \implies \cfrac{2}{4}=\cfrac{10}{20}\implies \cfrac{1}{2}=\cfrac{1}{2}$

6)

we can make both denominators the same if we simply <u>multiply each fraction by the other's denominator</u>.

$\bf \begin{cases} \cfrac{1}{4}\cdot \cfrac{13}{13}\implies \cfrac{13}{52} \\\\\\ \cfrac{4}{13}\cdot \cfrac{4}{4}\implies \cfrac{16}{52} \end{cases}\qquad \implies \cfrac{13}{52}$

10)

we'll convert the mixed fractions to improper fractions first, then make their denominator the same just like we did in 6).

$\bf \stackrel{mixed}{4\frac{1}{7}}\implies \cfrac{4\cdot 7+1}{7}\implies \stackrel{improper}{\cfrac{29}{7}}~\hfill \stackrel{mixed}{3\frac{3}{18}}\implies \cfrac{3\cdot 18+3}{18}\implies \stackrel{improper}{\cfrac{57}{18}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} \cfrac{29}{7}\cdot \cfrac{18}{18}\implies \cfrac{522}{126} \\\\\\ \cfrac{57}{18}\cdot \cfrac{7}{7}\implies \cfrac{399}{126} \end{cases}\qquad \implies \cfrac{522}{126}>\cfrac{399}{126}\qquad therefore\qquad 4\frac{1}{7}>3\frac{3}{18}$

13)

so both fractions are at a value from 9, so we can simply say, which is larger 2/6 or 4/12?

$\bf \begin{cases} \cfrac{2}{6}\implies \cfrac{1}{3} \\\\\\ \cfrac{4}{12}\implies \cfrac{1}{3} \end{cases}\qquad \implies \cfrac{1}{3}=\cfrac{1}{3}\qquad therefore\qquad 9\frac{2}{6}=9\frac{4}{12}$

3 0

3 years ago

A study investigating the relationship between age and annual medical expenses randomly samples 400 individuals in a city. It is

ICE Princess25 [194]

Answer:

The probability is 0.789

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 problem, we have that:

$\sigma = 16, n = 400, s = \frac{16}{\sqrt{400}} = 0.8$

Find the probability that the mean age of the individuals sampled is within one year of the mean age for all individuals in the city.

Using $\mu = 30$ , this is the pvalue of Z when X = 31 subtracted by the pvalue of Z when X = 29. So

X = 31

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

By the Central Limit Theorem

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

$Z = \frac{31 - 30}{0.8}$

$Z = 1.25$

$Z = 1.25$ has a pvalue of 0.8944

X = 29

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

$Z = \frac{29 - 30}{0.8}$

$Z = -1.25$

$Z = -1.25$ has a pvalue of 0.1056

0.8944 - 0.1056 = 0.7888

Rounded to three decimal places, 0.789

The probability is 0.789

4 0

3 years ago

Read 2 more answers

PLEASE ANSWER !

ivanzaharov [21]

Answer:I think no, because 25+35+45=150. 150x3=450

Maybe, for 4 months he'd have enough. So, 150x4=600. So Jamal would have some extra money!

Step-by-step explanation:

8 0

3 years ago

Simplify the expression. –42 ÷ (–6)

Vitek1552 [10]

The answer is 7
hope this helps!

4 0

3 years ago

Read 2 more answers

The (greatest, least) of the common factors of 2 or more numbers is the (greatest, least) common factor of the numbers.

Liula [17]

Answer:

The greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

Step-by-step explanation:

As we know that

The greatest common factor of two or more whole numbers is the largest whole number that divides evenly into each of the numbers.

Thus, the greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

For example, lets find the greatest common factor of $36$ and $54$ .

The possible factors of $36$ are:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

The possible factors of $54$ are:

1, 2, 3, 6, 9, 18, 27, and 54.

The common factors of 36 and 54 are:

$1, 2, 3, 6, 9, 18$

So, from the common factors, it is easy to figure out that 18 is the greatest common factor.

4 0

3 years ago