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3 years ago

11

in 2 minutes, a conveyor belt moves 500 pounds of recyclable aluminum from the delivery truck to a storage area. a smaller belt

moves the same quantity of cans the same distance in 5 minutes. if both belts are used, find how long it takes to move the cans to the storage area.

1 answer:

katen-ka-za [31]3 years ago

8 0

answer:

how many can are needed to move?

Step-by-step explanation:

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What value of "a" makes the system 3x-y=17 and ax+y=-7 have no solution?

Norma-Jean [14]

Answer:

y=-7-ax

3x-(-7-ax)=17

3x+7+ax=17

3x+ax=10

x(3+a)=10

x=10,3+a=10 a=10-3 a=7

5 0

3 years ago

A random sample of math majors taking an introductory statistics course were surveyed after completing the final exam. They were

quester [9]

Answer:

$E(X) =1 *\frac{1}{5} +2 *\frac{2}{5} +7*\frac{2}{5}= 3.8$

Now we can find the second moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =1^2 *\frac{1}{5} +2^2 *\frac{2}{5} +7^2*\frac{2}{5}= 21.4$

The variance would be given by:

$Var(X) =E(X^2) -[E(X)]^2 = 21.4 -[3.8]^2 = 6.96$

And the deviation would be:

$Sd(X) =\sqrt{6.96}= 2.638$

Step-by-step explanation:

For this case we have the following distribution given:

X 1 2 7

P(X) 1/5 2/5 2/5

We need to begin finding the mean with this formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) =1 *\frac{1}{5} +2 *\frac{2}{5} +7*\frac{2}{5}= 3.8$

Now we can find the second moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =1^2 *\frac{1}{5} +2^2 *\frac{2}{5} +7^2*\frac{2}{5}= 21.4$

The variance would be given by:

$Var(X) =E(X^2) -[E(X)]^2 = 21.4 -[3.8]^2 = 6.96$

And the deviation would be:

$Sd(X) =\sqrt{6.96}= 2.638$

7 0

3 years ago

A shopkeeper sold an article at 20 % discount and made a loss of Rs 90. If he had

melamori03 [73]

Answer:

The cost price of the article is Rs 1050

The marked price of the article Rs 1200

Step-by-step explanation:

The given discount on the article = 20%

The amount loss = Rs 90

With a discount of 5% the amount gained = Rs 90

Let the cost price of the article = X

Let the marked price of the article = Y

Therefore, we have;

(1 - 0.2) × Y = X - Rs 90

(1 - 0.5) × Y = X + Rs 90

Which gives;

0.8·Y = X - Rs 90 .......................(1)

0.95·Y = X + Rs 90.....................(2)

Subtracting equation (1) from equation (2), we have;

0.95·Y-0.8·Y = X + Rs 90 - (X - Rs 90) = X - X + Rs 90 + Rs 90 = Rs 180

0.15·Y = Rs 180

Y = Rs 180/0.15 = Rs 1200

Therefor, the marked price of the article = Rs 1200

From;

0.8·Y = X - Rs 90, we have;

0.8×Rs 1200 = X - Rs 90

X = 0.8× 1200 + 90 = Rs 1050

Therefore, the cost price of the article = Rs 1050.

6 0

3 years ago

What is the rate of change between (0,3) and (-4, 1)?

Phantasy [73]

Answer:

1/2

Step-by-step explanation:

do you want an explanation

3 0

3 years ago

Bradley is returning home from a place that is 2 kilometers away. The function y = 2,000 − 90x represents Bradley's distance fro

aleksandrvk [35]

These are the statements that accompany this question:

<span>A.The function is a linear function.

B.The function is a nonlinear function.

C.The function does not change at a constant rate.

D.The function is an increasing function.

E.The function changes at a constant rate.

An this is the assesment of each of statement:

</span>
<span>A.The function is a linear function.

TRUE: a linear function can take the forms Ax + By - C = 0, or y = mb + b

You can verify that y = 2000 - 90 x is of this type.

B.The function is a nonlinear function.

FALSE: we showed the opposite in A)

C.The function does not change at a constant rate.

FALSE: the rate of change of a linear function is constant and it is known as the slope.

D.The function is an increasing function.

FALSE: the value of y decreases as x increases, given that the slope is negative ( -90).

E.The function changes at a constant rate.

TRUE: the constant rate is the slope, i.e. - 90.
</span>

5 0

3 years ago