What is the absolute value of the integers, 1-41, 1 +51, 1-61?​

Using the law of total probability, the probability that the system will function is 0.86.

Let,

the probability of rainy day is= p(r),

probability of non-rainy day =  p(nr),

probability that system will function = p(f),

probability that system will function if it is a rainy day = p(f|r)

probability that system will function in non-rainy day = p(f|nr)

Then the following information is given in the question:

p(r) = 0.20

then, p(nr) = 1-0.20 = 0.80

p(f|r) = 0.7 (4 out of 6 components function with 0.7 probability each)

p(f|nr) = 0.9 (4 out of 6 components function with 0.9 probability each)

We have to find the probability that the system will function tomorrow.

According to the total probability law:

Probability that function will function tomorrow = p(r)p(f|r) + p(nr)p(f|nr)

Substitute the given probabilities:

P(f) = 0.20 x 0.7 + 0.80 x 0.9

P(f) = 0.14 + .72

P(f) = 0.86

Hence, the probability that the system will function tomorrow is 0.86.

Learn more about law of total probability here:

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Answer: expression, addition, subtraction, divide , math

Step-by-step explanation:

Answer:

area of the square = (SIDE)2

=( 4)^2

= 16 answer

Answer:

(1,-2)

Step-by-step explanation:

WE can see that the X value below is 1 and the Y value is -2

Answer:

sum of all angle= 180 given angle = 3 X, 10 X AND 7 X

3X + 10X + 7X = 180

20X = 180

X= 180/20

X = 9

X= 9 IS apply to given angle 3X, 10 X  , 7X

3X = 3 ×9=27

10X = 10 ×9 = 90

7X = 7 ×9 =63

ANS IS 27,90,63

Step-by-step explanation:

Answer:

i think its 64.3

Answer:

4:9

Step-by-step explanation:

12 red apples and 27 apples in total so it would be 12:27. Just divided it by 3

I think that's what the question is asking...

Answer:

C

Step-by-step explanation:

Answer:

area of shaded region =total area - outer shaded area

Answer:

udvugeciiffhi3fo

Step-by-step explanation:

bc whcehfiwhidheihgeigdi2iwg

Step-by-step explanation:

According to the pythagrean equation, it should be

[tex]AC^2 = AB^2 + BC^2\\[/tex]

8² = 6² + BC²

64 = 36 + BC²

BC² = 28

BC = ✓28 = 5.29

Answer:

[tex]a=\dfrac{1}{5}[/tex] and b = 1

Step-by-step explanation:

Given that,

[tex]\dfrac{1}{5}+\sqrt7=a+b\sqrt7[/tex]

We need to find the value of a and b.

We should compare both sides of the above equation i.e.

[tex]a=\dfrac{1}{5}[/tex]

and

b = 1

Hence, the values of a and b are 1/5 and 1 respectively.

Answer:

-9

Step-by-step explanation:

(7)(-3)+12

-21+12

-9

Answer:

-9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

pg + 12

p = 7

g = -3

Step 2: Evaluate

Answer:

17. x=25

18. x=72

19. x=151

20. x=28

Step-by-step explanation:

Answer:

it's really hard to see the numbers.. but I can explain how to do it. the 5 is on the x axis and the 0 is on the y axis. if you from 0 to 5 on the x axis and the line crosses through that point then it is true.

Answer:

1296 sorry if im wrong

Step-by-step explanation:

:):):):):):):):):):):):):):):):):):):):):):):)

Answer:

hvgf m g n HCF kvvfgfhhjfj

Answer:

42

Step-by-step explanation:

It changes 42 cents each year

Step-by-step explanation:

Initial velocity ,u= 14 m/s

a =_g

= 9.8 m/s

velocity at highest point,v=30 m/ s

=2as=v sqare _u square

=s= 35.99 m

if 2 quarts=1/2 galleon on the graph.

Then half of 2 quarts will be half of 1/2 galleons.

Therefore 1 quart=1/4 galleons.

Hope it helps!

Answer:

64.6x

Step-by-step explanation:

Step-by-step explanation:

A quadrilateral is made up of four sides. This means the sum of all the side equals 43. This is given as;

(x + 7)  + (x² - 2x ) + (x +3)  + (2x - 2) = 43

x² - 2x + 4x + 8 = 43

x²  - 2x - 35 = 0

Upon solving for x by factorization;

( x - 5) ( x + 7) = 0

The values of x are; 5 and - 7

Since the side of shape cannot have a negative value, -7 is ignored.

x = 5

The length of the sides are;

- X+7 = 5 + 7 = 12

- x² - 2x = 5² - 2(5) = 25 - 10 = 15

- X+3  = 5 + 3 = 8

2x-2 = 2(5) - 2 = 10 -2 = 8

Check:

8 + 8 + 15 + 12 = 43

Answer:

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50.

This means that [tex]\mu = 20.5, \sigma = 3.5[/tex]

a. Between $20.50 and $24.00 per hour

This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 20.5. So

X = 24

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 20.5}{3.5}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

X = 20.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20.5 - 20.5}{3.5}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Answer:

There are 208 ounces in 13 pounds :)

Answer:

208 oz

Step-by-step explanation:

1 lb = 16 oz

Where you see 1 lb, substitute it with 16 oz.

13 lb = 13 * 1 lb = 13 * 16 oz = 208 oz

Answer:

three million

Step-by-step explanation:

Answer:

15 points

Step-by-step explanation:

The start and end point of the caterpillar path are;

Start point = (-3, -4)

End point = (25, 38)

The slope of the caterpillar's path, 'm', given the 'x', and y-coordinates of two points is given by the following formula;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, m = (38 - (-4))/(25 - (-3)) = 1.5

The equation of the caterpillar's path in point and slope form is given as follows;

y - (-4) = 1.5 × (x - (-3))

y + 4 = 1.5 × (x + 3)

y + 4 = 1.5·x + 4.5

y = 1.5·x + 4.5 - 4 = 1.5·x + 0.5

y = 1.5·x + 0.5

Given that the 0.5 is added to the product of 'x' and 1.5, the points that have both integer points for 'x', and 'y' are the points that have odd number values of 'x', as follows;

(-3, -4), (-1, -1), (1, 2), (3, 5), (5, 8), (7, 11), (9, 14), (11, 17), (13, 20), (15, 23), (17, 26), (19, 29), (21, 32), (23, 35), (25, 38)

Therefore, we have 15 points counting the start and end points with integer coordinates

Answer:

m < -6 or m > 8

Step-by-step explanation:

m - 2 < -8

Add 2 to both sides of the inequality.

m < -8 + 2

m < -6

m/8 > 1

Multiply both sides of the equation by 8

m/8 ⋅ 8 > 1 ⋅ 8

Simplify.

m > 8

good luck, i hope this helps :)