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Nadya [2.5K]
3 years ago
11

Suppose the scores on a history quiz are normally distributed with a mean of 73 and a standard deviation of 4. Which group descr

ibes 16% of the population of history quiz scores?
A. scores below 65


B. scores below 75


C. scores above 77


D. scores above 81
Mathematics
1 answer:
KiRa [710]3 years ago
8 0

B is the correct answer the score is below 75

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Whats the equation for this​
yawa3891 [41]

Answer:

x^2 + y^2 + 4x + 4y  = -119/16

Step-by-step explanation:

The axes x and y are calibrated in 0.25

If the circle is carefully considered, the radius r of the circle is:

r = -1.25 - (-2)

r = 0.75 units

The equation of a circle is given by:

(x - a)^2 + (y - b)^2 = r^2

The center of the circle (a, b) = (-2, -2)

Substituting  (a, b) = (-2, -2) and r = 0.75 into the given equation:

(x - (-2))^2 + (y - (-2))^2 = (3/4)^2\\\\(x + 2)^2 + (y + 2)^2 = (3/4)^2\\\\x^2 + 4x + 4 + y^2 + 4y + 4 = 9/16\\\\x^2 + y^2 + 4x + 4y + 8 = 9/16\\\\16x^2 + 16y^2 + 64x + 64y + 128 = 9\\\\16x^2 + 16y^2 + 64x + 64y  = -119\\\\x^2 + y^2 + 4x + 4y  = -119/16\\

5 0
3 years ago
Please help me!!!!!!!
Dmitrij [34]

9514 1404 393

Answer:

  A)  (-6, 8)

  B)  (x, y) ⇒ (-x, y)

Step-by-step explanation:

B) The rule for reflection across the y-axis is that the x-coordinate changes sign:

  (x, y) ⇒ (-x, y)

__

A) To find the pre-image point, one can simply reflect the image back across the y-axis:

  A'(6, 8) ⇒ A(-6, 8)

7 0
2 years ago
.
I am Lyosha [343]
Central angle  = 360 / 24  = 15 degrees

ARc length =  r * theta,    where theta is the angle in radians  and r = radius
                  = 15 * 15 * pi/180  
                  =  3.93 feet to nearest hundredth.

Area of sector =  area of circle / 24  = pi*15^2 / 24 =  29.45 ft^2 
6 0
3 years ago
If the perimeter of a square is 20, find the length of a diagonal
avanturin [10]

Answer:

7.07

Step-by-step explanation:

<h2><u>Length</u></h2>

a square has equal length on each side

hence is the perimeter is 20 it means that :

each side is 20/4 = 5

we can make a diagonal line which create 3 right angled triangles

2 sides of the triangle are 5 , this is the base and the height

to find the length we can make use of the Pythagoras theorem

c^2 = a^2 + b^2

c is the hypotenuse ( the diagonal;)

a and b are the opposite and adjacent

hence :

c^2 = 5 ^2 + 5^2

c^2 = 50

c = \sqrt{50}

c = 7.071

to 3sf

<h3><u>diagonal length  = 7.07</u></h3>

6 0
3 years ago
Min-Jee is planting two rectangular flower beds. One bed is 2.78 feet by 4.81 feet, and the other bed is 2.78 feet by 5.61 feet.
shusha [124]

Answer:  (2.78+4.81)(2.78+5.61)

Step-by-step explanation:

<h3> The complete exercise is attached.</h3><h3></h3>

The area of a rectangle can be calculated with this formula:

A=lw

Where "l" is the lenght and "w" is the width.

Then, you can notice that it can be obtained by multiplying the dimensions of the rectangle.

Knowing this, you can determine that the total area of the two flowers bed can be obtained by adding the products of their dimensions.

Since one of the rectangular flower bed is 2.78 feet by 4.81 feet and the other bed  2.78 feet by 5.61 feet, you can write the following expression to find the total area (in square feet)of the two beds:

2.78*4.81 +2.78*5.61

If you factor out 2.78:

2.78(4.81 +5.61) or (4.81 +5.61)2.78

Therefore, the expression that does not represent the total area in square feet of the two beds, is:

(2.78+4.81)(2.78+5.61)

6 0
3 years ago
Read 2 more answers
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