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3 years ago

12

You are spreading fertilizer on a golf course at the rate of 40 pounds per 10000 square feet. If the course is 320 acres, how ma

ny tons of fertilizer will be needed?

1 answer:

MatroZZZ [7]3 years ago

6 0

I believe the answer is 18,295.2 tons of fertilizer.

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The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability

Marianna [84]

Answer:

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

Step-by-step explanation:

According to the given data we have the following:

mean = μ= 22

standard deviation = σ = 2

n = 100

μx = 22

σx=σ/√n=2/√100=0.2

Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2

=P(z<-1)

= 0.159

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

3 0

3 years ago

A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec

STALIN [3.7K]

Answer: Maximum height = 105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

$h(t) = -16t^2 + 72t + 24$ --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get, $h'(t) = -32 t + 72$

Again differentiating above equation with respect to t,

We get, $h''(t) = -32$

For maximum or minimum, $h'(t) = 0$

$- 32 t + 72 = 0$

$32 t = 72$

$t = \frac{9}{4}$

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

$h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -81 + 162 + 24=105$

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

8 0

3 years ago

Mrs. McDonnell is making 25 paper cones to fill

viktelen [127]

Answer:

(A)29 cubic inch

Step-by-step explanation:

Diameter of the Cone =4 Inches

Height of the Cone =7 Inches

Volume of a Cone $=\frac{1}{3}\pi r^2h$

First, we determine the radius, r.

Radius=Diameter/2=4/2=2 Inches

Therefore:

Volume of one paper cone $=\frac{1}{3}\pi *2^2*7$

=29.32 cubic inch

=29 cubic inch (to the nearest cubic inch.)

5 0

3 years ago

-4/5t+2/5=2/3<br> what is the value of t?

zvonat [6]

Answer:

answer would be -2/5

Step-by-step explanation:

i think thats what you mean i hope this helps

7 0

3 years ago

Read 2 more answers

The rule for subtracting integers can be used to subtract whole numbers. explain why.

a_sh-v [17]

The difference between whole numbers and integers is that whole numbers do not include negative numbers, whereas integers do. Therefore, the same rule used by integers can be used with whole numbers, so long as negative numbers are not used.

6 0

3 years ago