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kondaur [170]
2 years ago
9

23 security systems a home security system is designed to have a 99% reliability rate. suppose that nine homes equipped with thi

s system experience an attempted burglary. find the probabilities of these events:
a. at least one of the alarms is triggered.
b. more than seven of the alarms are triggered
c. eight or fewer alarms are triggered.
Mathematics
1 answer:
Bess [88]2 years ago
7 0

C. eight or fewer

99% means 99/100

. with 9 alarms there is no way you can trigger 8 alarms with that 99% rate
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Chang and Carlotta solve this problem in two different ways. You have $50 in your bank account. You make $8 per hour mowing lawn
Tamiku [17]
HELLO,

Your answer is 130-50=80
You would have to make 80 dollars,

So 8 dollars per hour (of course that is below minimum wage that means you need a raise).

Therefore, you need to mow lawns for 10 hours

Thanks for posting your question here on brainly.
Hope this helps you.
Let me know if its correct.
3 0
2 years ago
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In a study conducted to examine the quality of fish after 7 days in ice​ storage, ten raw fish of the same kind and approximatel
vesna_86 [32]

Question: The sample data and the scatter plot was not added to your question. See the attached file for the scatter plot.

Answer: Yes

Step-by-step explanation:

From scatter plot, it was discovered that there is a linear relationship between the two variables and both variables are quantitative.

Therefore, it appropriate to use the correlation coefficient to describe the strength of the relationship between​ "Time" and​ "Fish Quality"?

4 0
2 years ago
Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,
taurus [48]

Answer:

(A)(12, 9)

Step-by-step explanation:

Given:

The beginning of the left edge of the stencil falls at (2, −1).

A point, say Q on the stencil is at  (4, 1).

Point Q divides the stencil into the ratio 1:4.

We are required to find the end of the stencil.

Mathematically, Point Q divides the stencil internally in the ratio 1:4.

For internal division of a line with beginning point (x_1,y_1) and end point (x_2,y_2) in the ratio m:n, we use the formula

Q(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )

(x_1,y_1)=(2, -1), (x_2,y_2)=?, Q(x,y)=(4,1), m:n=1:4

Therefore:

(4,1)=(\dfrac{1x_2+4*2}{1+4} ,\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5} ,\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)

The correct option is A.

6 0
2 years ago
Read 2 more answers
The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
alexdok [17]

Answer:

The upper bound is 97.5 cm

Step-by-step explanation:

The upper bound is given as the value that is larger than or equal to all values in a data set, for example, in the data set, {3, 6, 16, 23, 25}, an upper bound  is 25, however, where the accuracy of the data is given, the upper bound can be found by the following relation

Where the number is given to the nearest 100, add and subtract  half of hundred to obtain the upper bound and lower bound respectively

For the question, given that the size of the television is given as 95 cm, correct to the nearest 5 cm, we add add half of 5 cm to get the upper bound as follows;

Upper bound = 95 cm + 5/2 cm = 97.5 cm

The upper bound = 97.5 cm.

5 0
2 years ago
For three minutes the temperature of a feverish person has had negative first derivative and positive second derivative.
nydimaria [60]

Answer:

A.) The temperature fell in the last minute, but less than it fell in the minute before.

Step-by-step explanation:

Given that for three minutes the temperature of a feverish person has had negative first derivative and positive second derivative.

i.e. it temperature is represented by T, temperature is variable with

first derivative T' <0 and second derivative T">0

i.e. rate of change of temperature is negative or temperature is falling down in 3 minutes.

But the rate of rate of change of temperature was positive i.e. the rate of change of temperature is increasing as time increases.

So correct option would be option A

A.) The temperature fell in the last minute, but less than it fell in the minute before.

7 0
2 years ago
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