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almond37 [142]
3 years ago
10

In a box of 25 external hard disks, there are 2 defectives. An inspector examines 5 of these hard disks. Find the probability th

at there is at least 1 defective hard disk among the 5.
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0

Answer:

0.3667 or 36.67%

Step-by-step explanation:

The probability of getting at least 1 defective hard disk among the 5 (P(X>0)) is equal to 100% minus the probability of getting none defectives (1-P(X=0)).

If 23 out of 25 hard disks are non-defective, the probability is:

P(X>0) = 1 -P(X=0)\\P(X>0) = 1 -\frac{23}{25}*\frac{22}{24} *\frac{21}{23} *\frac{20}{22} *\frac{19}{21}\\ P(X>0) = 0.3667=36.67\%

The probability that there is at least 1 defective hard disk is 0.3667 or 36.67%.

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A recipe uses 1 1/4 cups of milk to make 10 servings if the same amount of milk is used for each serving how many servings can b
aev [14]

Answer:

128 servings

Step-by-step explanation:

5/4 cups of milk for 10 servings is equal to 1/8 cup per 1 serving

there are 16 cups in a gallon

let 'n' = # servings in a gallon

so 1/8 : 1 is 16 : n

1/8n = 16

n = 16(8)

n = 128

3 0
3 years ago
The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?
Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

S=180^o(n-2)

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

S=180^o(8-2)=1,080^o

so

The linear equation that represent this problem is

\frac{x}{2}+7x=1,080

solve for x

\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o

so

\frac{x}{2}=72^o

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

7 0
3 years ago
Both before and after a recent earthquake, surveys were conducted asking voters which of the three candidates they planned on vo
andre [41]

Answer:

0.05547

Step-by-step explanation:

Given :

_____Peter __ Alan __ Sui__total

Before 1838 __ 418 ___1475 _3731

After _ 1420 __ 329 ___1140_2889

Total _3258 __ 747 __ 2615 _6620

The expected frequency = (Row total * column total) / N

N = grand total = 6620

Using calculator :

Expected values are :

1836.19 __ 421.006 __ 1473.8

1421.81 ___325.994__ 1141.2

χ² = Σ(Observed - Expected)² / Expected

χ² = (0.00177817 + 0.0214571 + 0.000974852 + 0.00229642 + 0.0277108 + 0.00125897)

χ² = 0.05547

3 0
3 years ago
Please help me with this
BARSIC [14]
Chance has 90.72 grams in coins
6 0
3 years ago
Can someone please answer this question please help please answer it correctly and please show work please help I need it please
mr_godi [17]

Answer:

Step-by-step explanation:

24)

200= 3(21) + 4x

200= 63 +4x

-63   -63

137= 4x

divide each side by 4

34 = x

c

25)

.5(pi)= about 1.6

1.6(2.5)= 4

c

44)

equation-     T= 12.17+0.75v

105.75= 12.17 + .75v

-12.17    -12.17

93.58= .75v

divide each side by .75

answer 125

3 0
3 years ago
Read 2 more answers
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