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3 years ago

A jet flies 600 Kilometers in 3/4 hour. How far can this jet fly in 1/2 hour?

1 answer:

4 0

If you divide 600/ 45 mins you get the kilometers per minute which is 13.33. Then you multiply 13.33 times 30 mins and you get 399.9 or 400 kilometers

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The picture below shows a shaded rectangular region inside a large rectangle.

Pachacha [2.7K]

Answer:

the answer is d

Step-by-step explanation:

8 0

3 years ago

A grain silo is approximately 85% full. A 55 lb sack of grain measures 2 cubic feet.

erastova [34]

Answer:

Option A . 1708 bags

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the volume of the silo

The volume of the silo is equal to the volume of a cylinder plus the volume of a cone

$V=\pi r^{2}h_1+\frac{1}{3}\pi r^{2}h_2$

we have

$\pi =3.14$

$r=16/2=8\ ft$ ---> the radius is half the diameter

$h_1=16\ ft$

$h_2=12\ ft$

substitute

$V=(3.14)(8)^{2}(16)+\frac{1}{3}(3.14)(8)^{2}(12)$

$V=3,215.36+803.84=4,019.2\ ft^3$

Remember that

The silo is approximately 85% full

The volume of grain in the silo is

$0.85(4,019.2)=3,416.32\ ft^3$

step 2

Find the number of bags of grain

Divide the volume of grain in the silo by the volume of one sack

$3,416.32/2=1,708\ bags$

7 0

3 years ago

I need help with 1-9 plz I still don’t I understand fractions multiply

NikAS [45]

For the bottom part of 3) 2/5 times 2/2 would equal 4/10

7 0

3 years ago

Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations diff

liubo4ka [24]

Answer:

There is only one real zero and it is located at x = 1.359

Step-by-step explanation:

After the 4th iteration the solution was repeating the first 3 decimal places. The formula for Newton's Method is

$x_{n}-\frac{f(x_{n}) }{f'(x_{n}) }$

If our function is

$f(x)=x^5+x-6$

then the first derivative is

$f'(x)=5x^4+1$

I graphed this on my calculator to see where the zero(s) looked like they might be, and saw there was only one real one, somewhere between 1 and 2. I started with my first guess being x = 1.

When I plugged in a 1 for x, I got a zero of 5/3.

Plugging in 5/3 and completing the process again gave me 997/687

Plugging in 997/687 and completing the process again gave me 1.36976

Plugging in 1.36976 and completing the process again gave me 1.359454

Plugging in 1.359454 and completing the process again gave me 1.359304

Since we are looking for accuracy to 3 decimal places, there was no need to go further.

Checking the zeros on the calculator graphing program gave me a zero of 1.3593041 which is exactly the same as my 5th iteration!

Newton's Method is absolutely amazing!!!

5 0

4 years ago

According to insurance records, a car with a certain protection system will be recovered 87% of the time. If 600 stolen cars are

White raven [17]

Answer:

The mean and standard deviation of the number of cars recovered after being stolen is 522 and 8.24 respectively.

Step-by-step explanation:

We are given that according to insurance records, a car with a certain protection system will be recovered 87% of the time.

Also, 600 stolen cars are randomly selected.

Let X = <u><em>Number of cars recovered after being stolen</em></u>

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r}\times p^{r} \times (1-p)^{n-r} ;x=01,2,3,......$

where, n = number of trials = 600 cars

r = number of success

p = probability of success which in our question is the probability

that car with a certain protection system will be recovered,

i.e. p = 87%.

So, X ~ Binom(n = 600, p = 0.87)

Now, the mean of X, E(X) = $n \times p$

= $600 \times 0.87$ = 522

Also, the standard deviation of X, S.D.(X) = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{600 \times 0.87 \times (1-0.87)}$

= 8.24

3 0

3 years ago