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OLEGan [10]
3 years ago
11

Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points. The instr

uctor wanted to "pass" anyone who scored above 69. What proportion of exams will have passing scores?
(a) .25 (b) .75 (c) .2266 (d) .7734 (e) -.75
Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

(d):  0.7734

Step-by-step explanation:

Using the normcdf( statistical function built into my old TI 83-Plus calculator, I find that the area under the standard normal curve from the extreme left to the value 69 is 0.2266.  Thus, about 0.2266 of students would fail and

1.000-0.2266, or 0.7734 would pass.  This corresponds to Answer (d).

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A postal carrier can deliver to 130 house in a 2.5- hour period At this rate how many hours will it take to deliver to 312 house
mylen [45]

Answer:6 hours


Step-by-step explanation:

312/130=2.4

2.4*2.5=6

5 0
3 years ago
A basketball player makes 75% of her free throws. If she made 84 free throws this season, how many has she attempted?
myrzilka [38]
If you would like to know how many free throws did a basketball player attempted, you can calculate this using the following steps:

75% of x is 84
75% * x = 84
75/100 * x = 84
x = 84 * 100 / 75
x = 112 free throws

The correct result would be 1<span>12 free throws.</span>
8 0
3 years ago
What is the perimeter P of △DEF to the nearest whole number?
schepotkina [342]

Answer:

perimeter of ΔDEF  ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

angle E  = 49 degrees

e= DF = 10

angle F = 42 degrees

f= DE =?

we can now insert the values into the formula

=  

cross-multiply

f sin 49° = 10 sin 42°

Divide both-side by sin 49°

f = 10 sin 42° / sin 49°

f≈8.866

which implies DE ≈8.866

We will now proceed to find side EF

To do that we need to find angle D

angle D + angle E + angle F = 180°  (sum of interior angle)

angle D + 49° + 42° = 180°

angle D + 91° = 180°

angle D= 180° - 91°

angle D = 89°

Using the sine rule to find the side EF

angle E = 49 degrees

e= DF = 10

ange D = 89 degrees

d= EF = ?

we can now proceed to insert the values into the formula

=  

cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

d= 10 sin 89°/sin 49°

d≈13.248

This implies that length EF = 13.248

perimeter of ΔDEF = length DE + length EF + length DF

                                  =13.248   +  8.866  + 10

                                   =32.144

                                    ≈ 32 to the nearest whole number

perimeter of ΔDEF  ≈ 32

6 0
3 years ago
X/3 -6 =y<br><br> Solve for x
Paul [167]

Answer:

x= 3(y+6) or x = 3y + 18

Step-by-step explanation:

get the "x" by itself.

so first +6 on both sides of the equation to make it x/3=y+6

then multiply both sides by 3 to make it x=(y+6)*3

3 0
2 years ago
P partitions GR in ratio 2:4. GR is 36cm. How long is GP and PR?
Allushta [10]

Answer:

12 cm and 24 cm

Step-by-step explanation:

The line is divided in the ratio 2 : 4 = 2x : 4x ( x is a multiplier )

The sum is therefore

2x + 4x = 36

6x = 36 ( divide both sides by 6 )

x = 6

Thus

GP =  2x = 2 × 6 = 12 cm

PR = 4x = 4 × 6 = 24 cm

6 0
3 years ago
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