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densk [106]
3 years ago
13

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard dev

iation of 9. What percentage of students scored between 65 and 89?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer: 66%

Step-by-step explanation:

You might be interested in
Cooper is grating cheese for his family taco dinner. He grates 1/2 of cheddar cheese and 3/4 cup of monterey jack cheese. How mu
sashaice [31]

Answer:

1 1/4 cup of cheese

Step-by-step explanation:

.5+.75

3 0
4 years ago
Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/
SVEN [57.7K]

Given p,q>0 and \log_9p=\log_{12}q=\log_{16}(p+q)=x (say).

Then,

p=9^x\\ q=12^x\\ p+q=16^x

From the above 3 equations,

\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\

From the equations, we get

\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}

Since p,q>0, the negative value is rejected.

\frac{q}{p}=\frac{1 + \sqrt{5}}{2}

3 0
4 years ago
The center is (2,5) and the radius is 9
kiruha [24]

Answer:

 (x-2)2+(y-5)2=92

or

(x-2)2+(y-5)2=81

Step-by-step explanation: Center:(2,5)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:9

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:18

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*9 = 56.5486677646163

The circumference of a circle is the distance around it.

Area:254.469004940773

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

The standard form for the equation oif a circle is

(x-a)2+(y-b)2=r2

And in our particular case:

(x-2)2+(y-5)2=92

(x-2)2+(y-5)2=81

The general form for the equation of a circle is

x2 + y2 + Ax + By + c = 0

We can get the general form by expanding the equation of the standard form

(x-a)2+(y-b)2=r2

(x-2)2+(y-5)2=92

(x-2)2+(y-5)2=81

x2-4x+4+y2-10y+25=81

x2+y2-4x-10y-52=0

5 0
4 years ago
What is 21.5 simplifyed to
Stels [109]
It would be simplified to 20
6 0
4 years ago
Given 4/ (-2 - 6sin(theta)) What type of directrix does this conic have?
atroni [7]

Answer:

a horizontal line

Step-by-step explanation:

The hyperbola opens vertically, so the directrix is a horizontal line (a different one for each branch).

6 0
3 years ago
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