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qwelly [4]
3 years ago
14

The grade point averages of a large population of college students are approximately normally distributed with a mean of 2.4 and

a standard deviation of 0.8.What is the probability that a randomly selected student will have a grade point average in excess of 3.0?
Round your answer to 4 decimal places.
Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

0.2266

Step-by-step explanation:

We know that the grade point averages of a large population of college students are approximately normally distributed with a mean of 2.4 and a standard deviation of 0.8. The z-score related to 3.0 is computed as (3.0-2.4)/0.8 = 0.75. Therefore the probability that a randomly selected student will have a grade point average in excess of 3.0 is P(Z > 0.75) where Z comes from a standard normal distribution. So, P(Z > 0.75) = 0.2266

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The diameter of a sphere is 16 cm. The volume of the sphere is
Triss [41]

Answer:

V ≈ 2144.66 cm³

Step-by-step explanation:

3 0
3 years ago
Jake and Hannah wash windows Jake charges $50 plus $2 per window hannah charges $20 plus $5 per window for how many windows wash
AnnZ [28]
10.
50+(2x)=20+(5x)
-20 -20
-2x -2x
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8 0
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All sides of quadrilateral ABCD ABCD A, B, C, D are tangent to circle PPP. What is the perimeter of the quadrilateral below?
noname [10]

Answer:

The answer is below

Step-by-step explanation:

A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.

The two tangent theorem states that tangent that meet at the same point are equal in length.

Therefore:

CD = c + d

but c = 5.1, hence:

CD = 5.1 + d

12.1 = 5.1 + d

d = 7

AD = a + d; but AD = 12.2, d = 7

12.2 = a + 7

a = 5.2

AB = a + b; but b = 3.3

AB = 5.2 + 3.3 = 8.5

BC = b + c = 3.3 + 5.1 = 8.4

Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2

4 0
3 years ago
Axis of symmetry: x=4; points: (3,-2), (6,-26); opening downward
Andru [333]
Vertex form is
y=a(x-h)^2+k
vertex is (h,k)
axis of symmetry is x=4, therfor h=4
y=a(x-4)^2+k

we have some points
(3,-2) and (6,-26)
input and solve for a and k

(3,-2)
-2=a(3-4)^2+k
-2=a(-1)^2+k
-2=a(1)+k
-2=a+k

(6,-26)
-26=a(6-4)^2+k
-26=a(2)^2+k
-26=a(4)+k
-26=4a+k

we have

-2=a+k
-26=4a+k
multiply first equation by -1 and add to second

2=-a-k
<u>-26=4a+k +</u>
-24=3a+0k

-24=3a
divide both sides by 3
-8=a

-2=a+k
-2=-8+k
add 8 to both sides
6=k

the equation is
y=-8(x-4)^2+6
3 0
3 years ago
Sort each description of data into the appropriate category.
Alex787 [66]

Answer:

Step-by-step explanation:

Qualitative:

Eye colour

Grade level

favourite music group

Quantitive:

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Height in inches

Number of siblings

6 0
3 years ago
Read 2 more answers
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