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11111nata11111 [884]
3 years ago
12

The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The​ team's center is 6.9 feet tall. Find

the​ center's ​z-score. Is his score​ unusual?
Mathematics
1 answer:
ANTONII [103]3 years ago
7 0

Answer:

z-score = 3.5, Yes, z-score is unusual.

Step-by-step explanation:

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5x^2-3y^2-20x+6y+2=0 what is the value of a
butalik [34]
<span>What is the value of c? 5x2 - 3y2 - 20x + 6y + 2 = 0 Select one: a. 2 b. 4 c. √4 d. √8 This was an older question and someone said the answer was D and I got it right.</span>
4 0
3 years ago
A courtyard is shaped like a square with 250ft long sides. What is the distance from one corner of the courtyard to the opposite
Valentin [98]
Lets draw the square first.
As you can see in the diagram, the distance between one corner and the opposite side is the diagonal of the rectangle which divides it into tow right triangles. Since we know that in a square all the lengths have the same measure, the legs of our triangle are going to measure 250 ft.
Now, the only thing left to do is apply the Pythagorean theorem to find the hypotenuse of our triangle which is no other than the diagonal of our square:
h= \sqrt({25}0^{2} +250^{2} )
h= \sqrt{125000}
h=353.6
We can conclude that the distance <span>from one corner of the courtyard to the opposite corner is 353.6 ft.</span>

6 0
3 years ago
Suppose that the water level of a river is 34 feet and that it is receding at a rate of her foot per day right in equation and h
Ghella [55]

Answer: it will take 9 days

Step-by-step explanation:

The water level was initially at 34feet it was receding at the rate of a foot per day. The rate at which it was receding is linear, thus, it is in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as

Tn = a+(n-1)d

Where

a is the first term if the sequence

d is the common difference

n is the number of terms.

From the information given,

a = 34 feet because it is the initial height

n is the number of days it will take to get to 26 ft

d = -1 because it is decreasing by 1 foot per day.

Tn = T26 = 26 feet. Therefore, the equation will be

Tn = 34 -1(n-1)

To find for T26,

26= 34 + (n - 1)-1

26 - 34 = -n + 1

n - 1 = 8

n = 8 + 1 = 9

8 0
3 years ago
(1 point) let a=(2,4,−5)a=(2,4,−5), b=(−3,6,−5)b=(−3,6,−5), c=(−8,7,0)c=(−8,7,0), and d=(−3,5,0)d=(−3,5,0). find the area of the
maksim [4K]

Areas and volumes of parallelograms and parallelepipeds in 3 dimensions are often easily found by making use of the cross product of the direction vectors of their edges. For edge vectors v1 and v2 of a triangle, the area is ...

... A = (1/2)║v1 × v2║

that is, half the norm of the cross-product vector. The area of a parallelogram with those edge vectors is simply ...

... A = ║v1 × v2║

Here, direction vectors are ...

  • ab = (-5, 2, 0)
  • bc = (-5, 1, 5)
  • cd = (5, -2, 0)
  • da = (5, -1, -5)

We can see that ab = -cd and bc = -da, as required for a parallelogram.

The cross product ab × bc is (10, 25, 5), so the area of the parallelogram is

... ║(10, 25, 5)║ = √(10² +25² +5²) = √750

... Area = 5√30 ≈ 27.3861 . . . . square units (parallelogram area)

The areas of each of the mentioned triangles is half the area of the parallelogram, so is

... Area Δabc = Area ∆abd = (5/2)√30 ≈ 13.6931 . . . . square units (triangles)

3 0
4 years ago
The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions
Vanyuwa [196]
90 = 2(x + 5 + 4x)

90 = 2(5x + 5)

90 = 10x + 10

80 = 10x

x = 8

So the width is 8 and the length is 37
I hope this helps.
3 0
3 years ago
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