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juin [17]
1 year ago
7

A window manufacturer claims that the seals break on only 4% of its windows. What is the probability that, in a sample of 10 win

dows, no seals will break?
Mathematics
1 answer:
Lyrx [107]1 year ago
3 0

Answer:

0.96

Step-by-step explanation:

Total samples of window = 10smaples

Total seal break = 4% of 10

Total seal break = 0.04 * 10

Total seal break = 0.4

THis means that no seal will be break on 96% of the window i.e 9.6 windows

The probability that, in a sample of 10 windows, no seals will break is expressed

as;

Pr(no seal will break) = 9.6/10

Pr(no seal will break)  = 0.96

Hence the probability that no seals will break is 0.96

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If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
2 years ago
mia uses triangle A and says the slope of this line is 6/4.Elena use triangle B and say no,the slope is 1.5
Mekhanik [1.2K]

Incomplete question.

5 0
1 year ago
The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the united states from birth to
Andru [333]

Answer:

The correct option is A). $112295.05

Step-by-step explanation:

The equation for approximating the total cost is given to be :

y = 1.55x + 110419 , where x is the annual household's income and y is the total cost in dollars of raising a child in the united states from birth to 17 years

We need to calculate the total cost of raising a child in the united states from birth to 17 years if the annual household's income is given to be $1211

So, for this we will use the given equation and substitute x = 1211 and find the value of y which will be our total cost

⇒ Total cost , y = 1.55 × 1211 + 110419

⇒ y = 1877.05 + 110419

⇒ y = 112296.05 ≈ 112295.05

Hence, The approximate total cost of raising a child from birth to 17 years in a household with a weekly income of $1211 = $112295.05

Therefore, The correct option is A). $112295.05

8 0
1 year ago
​You'd like to estimate the proportion of the 12,152 full-time undergraduate students at a university who are foreign students.
Minchanka [31]

Answer:

a) The data distribution consists of ( 7 )​1's (denoting a foreign ​student) and ( 43 )0's (denoting a student from the​ U.S.).

b) The population distribution consists of the​ x-values of the population of 12,152 full-time undergraduate students at the​university, ( 6 )​% of which are​ 1's (denoting a foreign​ student) and ( 94 )% of which are​ 0's (denoting a student from the​ U.S.).

c) The mean is ( 0.06 )

The standard deviation is ( 0.0336 )

The sampling distribution represents the probability distribution of the ( sample ) proportion of foreign students in a random sample of ( 50 ) students. In this​ case, the sampling distribution is approximately normal with a mean of ( 0.06 ) and a standard deviation of ( 0.0336 )

Step-by-step explanation:

5 0
1 year ago
Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8
Dafna11 [192]

Step-by-step explanation:

yo digo que es eso la verdad no se

3 0
2 years ago
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