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2 years ago

A boat traveled -3.4 mph for 0.75 hours. How far did it go?

Mathematics

1 answer:

miss Akunina [59]2 years ago

8 0

Answer:

= 2.55 miles

Step-by-step explanation:

We will use the equation

distance = rate times time

d = rt

d = 3.4 mph * .75 hours

= 2.55 miles

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See the image attached for all information needed.

avanturin [10]

Answer:

12.54 square miles

Step-by-step explanation:

Area of Parallelogram = Base x Height

In this case, Base = 3.3 mi and Height = 3.8 mi

Hence,

Area = 3.3 x 3.8 = 12.54 square miles

6 0

2 years ago

Read 2 more answers

PLZ HRLO ME WITH THUA HARD QUESTIONS

love history [14]

It would be D hope this helps

8 0

2 years ago

Read 2 more answers

frankie puts £3000 in a bank account for four years with 12% rate of interest. how much will be in the account at the end of the

Tpy6a [65]

3000x1.12
=3360
Therefore, Frankie will have £3360 percent chance for at the end if the time period

3 0

2 years ago

Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$

$n(1-p)=600*(1-0.4)=360 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=600*0.4=240$

$\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12$

And then $X \sim N (\mu = 240, \sigma= 12)$

And we are interested on the following probability:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

6 0

2 years ago

Explain why it is important to solve for the variable first in order to find the measure any angle mentioned in the problem . Ye

valkas [14]

In the field of astronomy, the ability to measure angles accurately and precisely enables us to calculate the position and relative movement of the stars and galaxies in relation to each other, to determine how far distant they are from us, and even to estimate their relative size.

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2 years ago