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3 years ago

Having trouble with this word problem;

Mathematics

2 answers:

NeX [460]3 years ago

8 0

Answer:

If Mary runs at 5mhp and Janet runs at 7mph, it will take them 45 minutes to reach a point where there is 1.5 miles between them.

Or, if you'd like a shorter answer:

<u>45 minutes.</u>

Step-by-step explanation:

It will take both of them 1 hour to reach 2 miles between them. We are looking for 1.5 miles between them. So, split 1 hour into 4 equal parts.

1hr = 60 min.

4 x 15 = 60

Next, Add 3 of those 4 parts together or multiply one part by 3.

15 x 3 = 45

There's the answer.

Gwar [14]3 years ago

7 0

Answer:

8mph

Step-by-step explanation:

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Thickness measurement ancient prehistoric Native American Pot Shards discovered in Hopi Village are approximately normally distr

beks73 [17]

Answer:

a) $P(X$

And we can find this probability using the normal standard table and we got:

$P(z$

b) $P(X>7)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z>\frac{7-5.1}{0.9})=P(z>2.11)$

And we can find this probability using the complement rule and the normal standard table and we got:

$P(z>2.11)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(5.1,0.9)$

Where $\mu=5.1$ and $\sigma=0.9$

Part a

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table and we got:

$P(z$

Part b

We are interested on this probability

$P(X>7)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>7)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z>\frac{7-5.1}{0.9})=P(z>2.11)$

And we can find this probability using the complement rule and the normal standard table and we got:

$P(z>2.11)=1-P(Z$

4 0

3 years ago

Currency on hand = 100,000 Brazilian cruzeiros

Vladimir79 [104]

Answer: $18,552.9

Step-by-step explanation:

given data:

currency on hand = $100,000 Brazilian dollar.

curreach desired = us dollars.

if $1 USD = $5.39 Brazilian dollar.

therefore;

$100,000 Brazilia USD

= $100,000/5.39

= $18552.9 USD.

The desired amount in US dollars is $18,552.9

4 0

3 years ago

Read 2 more answers

1,679 rounded to the nearest thousand

polet [3.4K]

The answer is 1700 because 1679 rounded to the nearest hundred is 1700

8 0

3 years ago

How does the precise nature of mathematics OR the imprecise nature of language sometimes get in the way of understanding problem

Degger [83]

Answer:

This is because mathematics uses some theories that helps to change words to equations. for example, a tree of height 50m makes a shadow on the ground. an observer standing at angle of 30 degrees, calculate the distance of the man to the tree. we use the the formula, tan (30)=opp/adj

$1 \div \sqrt{3 } = 50 \div x$