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Yuki888 [10]
3 years ago
5

A certain type of flashlight requires two type-D batteries, and the flashlight will work only if both its batteries have accepta

ble voltages. Suppose that 90% of all batteries from a certain supplier have acceptable voltages. Among twenty randomly selected flashlights, what is the probability that at least nineteen will work? What assumptions did you make in the course of answering the question posed? a. we have assumed here that the batteries' voltage levels are independent. b. we have assumed here that the batteries' voltage levels are dependent.
Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

a) 0.064

b) 0.002

Step-by-step explanation:

a) Assuming that  the batteries' voltage levels are independent

Probability = 0.8 * 0.8 = 0.64

b) batteries' voltage levels are dependent

20/19 (0.064)^19 *0.036  + 20/20 (0.064)^20 *0.036^0

= 0.002

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HELP ASAP
poizon [28]

Answer:

We conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:

\:y=\frac{1}{2}x+\frac{13}{2}

Step-by-step explanation:

Given the line

y+2x=4

converting into the slope-intercept form y = mx+b where m is the slope

y = -2x+4

comparing with the slope-intercept form

Thus, the slope is: m = -2

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -2

The slope of the new line perpendicular to the given line = – 1/m

                                                                                                = -1/-2 = 1/2

Using the point-slope form

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 1/2 and the point (-3, 5)

y-y_1=m\left(x-x_1\right)

y-5=\frac{1}{2}\left(x-\left(-3\right)\right)

y-5=\frac{1}{2}\left(x+3\right)

Add 5 to both sides

y-5+5=\frac{1}{2}\left(x+3\right)+5

\:y=\frac{1}{2}x+\frac{13}{2}

Therefore, we conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:

\:y=\frac{1}{2}x+\frac{13}{2}

7 0
3 years ago
Fine the total earnings based on the given information Base salary: $42,000 total sales : $175,000 commission :4%
kotykmax [81]

Answer: $49,000

Step-by-step explanation:

Total earnings = Basic salary + commission

Commission = 175,000 * 4%

= $7,000

Total earnings = 42,000 + 7,000

= $49,000

8 0
4 years ago
Tell which equation you would choose to solve for one of the variables when solving the system by substitution. 2x+3y=5 4x-y=3
PtichkaEL [24]

i would solve 4x-y =3 for y because  the coefficient for y is 1

subtract 4x from each side

-y = -4x+3

divide by -1

y = 4x-3


8 0
3 years ago
The length of a rectangle is twice its width. If the rectangle's perimeter is 200
iris [78.8K]

Step-by-step explanation:

set that width is x

and length become 2X

P = 2×( X+ 2X )

200 = 6 X

X=33. 3

width = 33.3 inch

length = 66. 6 inch

7 0
3 years ago
The following measurements (in picocuries per liter) were recorded by a set of helium gas detectors installed in a waste disposa
Novay_Z [31]

Answer:

The 90% confidence interval is (493.1903, 550.2097), and the critical value to construct the confidence interval is 2.0150

Step-by-step explanation:

Let X be the random variable that represents a measurement of helium gas detected in the waste disposal facility. We have observed n = 6 values, \bar{x} = 521.7 and S = 31.6368. We will use  

T = \frac{\bar{X}-\mu}{S/\sqrt{n}}  

as the pivotal quantity. T has a t distribution with 5 degrees of freedom. Then, as we want a 90% confidence interval for the mean level of helium gas present in the facility, we should find the 5th quantile of the t distribution with 5 degrees of freedom, i.e., t_{5}, this value is -2.0150. Therefore the 90% confidence interval is given by

521.7\pm 2.0150(31.6368/\sqrt{5}), i.e.,

(493.1903, 550.2097)

To find the 5th quantile of the t distribution with 5 degrees of freedom, you can use a table from a book or the next instruction in the R statistical programming language

qt(0.05, df = 5)

8 0
3 years ago
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