a) The average height of sunflowers in a field is 64 inches with a standard deviation of 3.5 inches. Describe a normal curve for the distribution, including the values on the horizontal axis at one, two, and three standard deviations from the mean. b) If there are 3,000 plants in the field, approximately how many will be taller than 71 inches?

Answers

Answer 1

Answer: The values on the horizontal axis are:
at 0 = 64
at one standard deviation (lower, upper) = (60.5 , 67.5)
at two standard deviation (lower, upper) = (57 , 71)
at three standard deviation (lower, upper) = (53.5 , 74,5)

B. P(x > 71) = 1 - P(x < 71) = 1 - P[z < (71 - 64)/3.5] = 1 - P(z < 2) = 1 - 0.97725 = 0.02275
Therefore the no of plants taller than 71 inches will be approximately 0.02275 * 3000 = 68

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Given scalene right triangle with an acute angle of 65°.To the nearest tenth of a foot, determine the value of h.

A. 1.7
B. 1.9
C. 3.6
D. 8.6

Answers

The answer would be 8.6 I believe :)

Answer:

8.6

Step-by-step explanation:

john bought a used truck for 4,500. he made an agreement with the dealer to put 1,500 down and make payments of 350 for the next 10 months the extra cost paid by taking this deal is equivalent to what actual yearly rate of interest

Answers

So $350 X 10 =$3500

Then, you add the initial $1500,

which means he now has $5000

The difference between $5000 and $4500 is $500,

And $500 is 9% of $4500,

So the deal is equivalent to a yearly interest of 9%

Hope this helps ! :)

How do i find the Perimeter of a [__] only having the A=25m2 and W=2.5 m

Answers

-- You know the area of a rectangle, and you know its width.

Let's pause here, and gather up a few tools to do the job with.
The tools you'll need are the things that you know about rectangles.
Definitions of the area and perimeter of a rectangle would be very helpful.

=> Area of a rectangle = (length) x (width)

=> Perimeter of a rectangle =
   (length+width + length+width) = 2 (length+width)

You know all the numbers in both of these formulas, except the length.
Can you think of a way to find it, using the numbers that you do know ?

Take the area formula . . . . . Area = (L) times (W)

Put in the numbers you know: 25 m² = (L) x (2.5 m)

Divide each side by 2.5 m : (25 m²) / (2.5 m) = L

   10 m = L

Now you know both 'L' and 'W'.
so ...
Time to go directly to the perimeter formula:

Perimeter = 2 (L + W)

      = 2 (10m + 2.5m)

    = 2 (12.5 m)

    = 25 m

If someone could do this it’s be greatly appreciated!

Answers

Answer:

a). A = -2x² + 200x

b). Widths = 40 feet and 60 feet

Step-by-step explanation:

It is given that length of the fencing material = 200 feet

a). Peg wants to cover the vegetable garden from three sides with the given fencing material.

If length of the garden = l

and width of the garden = x

l + x + x = 200

l + 2x = 200

l = (200 - 2x) feet

Therefore, area of the garden = Length × width

A = $(200-2x)* x$

A = -2x² + 200x

b). Foe A = 4800 square feet,

4800 = -2x² + 200x

2x² - 200x + 4800 = 0

x² - 100x + 2400 = 0

x² - 60x - 40x + 2400 = 0

x(x - 60) - 40(x - 60) = 0

(x - 60)(x - 40) = 0

x = 40, 60 feet

Therefore, widths of Peg's garden will be 40 feet and 60 feet.

Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years?

Answers

Answer:

$y=12,000*(0.88)^x$

Step-by-step explanation:

Please find the attachment.

We have been given that Jason estimates that his car loses 12% of its value every year. The initial value is $12,000.

Since the value of car is decreasing exponentially, so we will use exponential decay function to find the graph that represents the value of the car after x years.

An exponential decay function is in form: $y=a*(1-r)^x$ , where,

a = Initial value,

r = Decay rate in decimal form.

Let us convert our given rate in decimal form.

$12\%=(12)/(100)=0.12$

Upon substituting our given values in decay function we will get,

$y=12,000*(1-0.12)^x$

$y=12,000*(0.88)^x$

We can see from our graph that as x approaches infinity, y approaches to zero, therefore, our graph will have a horizontal asymptote at y=0.

Therefore, the function $y=12,000*(0.88)^x$ represents the value of the car after x years.

ANSWER:

y= 12000*(0.88)x

Step-by-step explanation:

We have been given that Jason estimates that his car loses 12% o

Since the value of car is decreasing exponentially, so we will use exponential decay function to find the graph that represents the value of the car after x years.

If c = 8h +2 calculate c when h = 5

Answers

replace h with its val.ue and multiple with 8 then add 2:
8× 5 + 2 = 42
c = 42

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