Given the diagram below, what is son (30)

Answer:

a. 0.1536

b. 0.9728

Step-by-step explanation:

The probability that a component fails, P(Y) = 0.2

The number of components in the system = 4

The number of components required for the subsystem to operate = 2

a. By binomial theorem, we have;

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;

P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536

b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working

Therefore, we have;

P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)

P(Y = 0) = [tex]\dbinom{4}{0}[/tex] × 0.2⁰ × 0.8⁴ = 0.4096

P(Y = 1) = [tex]\dbinom{4}{1}[/tex] × 0.2¹ × 0.8³ = 0.4096

P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536

∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728

The probability that the subsystem operates longer than 1,000 hours = 0.9728

Answer:

I think its c

Step-by-step explanation:

Answer:

10.4 miles on his return trip → 27 minutes

5.6 miles on his trip to the restaurant → 7 minutes

9.6 miles on his trip to the restaurant → 12 minutes

7.2 miles on his return trip → 31 minutes

Step-by-step explanation:

When solving, we note that on his trip to the restaurant, [tex]\left |t - 20 \right |[/tex] is a negative number, while it is a positive number on his return trip

1) At 10.4 miles on his return trip, we have;

[tex]d = 10.4 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(10.4 - 16)/(-0.8) = 7 =  [tex]\left |t - 20 \right |[/tex]

t = 20 + 7 = 27

The number of minutes since Luke started driving from his house, t = 27 minutes

2) At 5.6 miles on his trip to the restaurant, we have;

[tex]d = 5.6 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(5.6 - 16)/(-0.8) = 13 =  [tex]\left |t - 20 \right |[/tex]

Here, t is less than 20 (minutes), therefore, t - 20 is negative, we get

t - 20 = -13

∴ t = 20+ (-13) = 7

The number of minutes since Luke started driving from his house when he is 5.6 miles on his trip to the restaurant, t = 7 minutes

3) At 9.6 miles on his trip to the restaurant, we have;

[tex]d = 9.6 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(9.6 - 16)/(-0.8) = 8 =  [tex]\left |t - 20 \right |[/tex]

[tex]\left |t - 20 \right |[/tex] is negative on his trip to the restaurant, therefore;

- [tex]\left |t - 20 \right |[/tex] = 8

t - 20 = -8

t = 20 - 8 = 12

The number of minutes since he started driving from his house to when he is 9.6 miles on the his trip to the restaurant, t = 12 minutes

4) At 7.2 miles on his return trip, we have;

[tex]d = 7.2 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(7.2 - 16)/(-0.8) = 11 =  [tex]\left |t - 20 \right |[/tex]

t = 20 + 11 = 31

At 7.2 miles from his house on the return trip, t = 31 minutes

Answer:

I think you mean significant figures

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Always remember negative x negative = positive

-51-(-60)-51-(-60)

-51+60-51+60

9+9

18

I don't know what are the expressions but try yourself

Believe in yourself you can do it

my answer

90°to 180°degrees

Answer:

degrees of 5 or greater

Step-by-step explanation:

peaks counted are 5

Answer:

2/3-4

3 1/3

-1*3.3=-3.3

-3 1/3 divided by 5/6

-4

so a

Hope This Helps!!!

Answer:

-2/3+4÷5/6

-2+12÷3÷5/6

10/3÷5/6

10/3x6/5

2/1x2/1

4/1

4

Step-by-step explanation:

hope this is helpful

Answer:

The lengths of the sides are 6, 8 and 10.

Step-by-step explanation:

The vertices of a right angles triangle are E (2,2), F (2,8), and G (10,8)

The distance between the two points is

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

So, the lengths of the sides are

[tex]EF=\sqrt{(8-2)^2+(2-2)^2} = 6 \\\\FG=\sqrt{(8-8)^2+(10-2)^2} = 8 \\\\GE=\sqrt{(8-2)^2+(10-2)^2} = 10 \\[/tex]

Answer:

No solution is possible from the information provided

Step-by-step explanation:

When you post a question that starts with "which graph"

it's necessary to include the graphs

Answer:

The answer is Graph A.

Step-by-step explanation:

Answer:

B is the correct answer pls mark me brainlist

Answer:

it's -2 because the lowest the the line is is at the -2 mark under 0

The lowest value of the range of the function is -2, as shown on the graph. The correct answer is an option (B).

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph.

The point is (3, -2), where the function reaches its minimum value.

The y-coordinate of this point represents the lowest value of the range of the function.

Here, the y-coordinate is -2.

Thus, the lowest value of the range of the function is -2.

Learn more about the lowest value of the range here:

https://brainly.com/question/9384609

#SPJ7

Answer:

Area rhombus = 110

Step-by-step explanation:

The diagonals of a rhombus intersect at right angles.

They bisect each other.

So the diagonals form 4 right angle triangles whose legs are 1/2 of each of them.

Leg of 1 triangle = 1/2 * 10 = 5

Other leg of 1 triangle = 1/2 * 22 = 11

Area of 1 triangle = (1/2 ) * 5 * 11 = 1/2 * 55 = 27.5

Area of all 4 triangles = 4 * 27.5

Area of all 4 triangles = 110

Area of rhombus = 110

============================================================

Explanation:

Refer to the diagram below. I've split the regular pentagon into 5 equal slices (as if it was a pizza). Each triangle is congruent.

The base of each triangle is 22/5 = 4.4 cm

The height of each triangle is the apothem 3 cm. The apothem stretches from the center to the midpoint of any given side. It's the red dashed line in the diagram.

The area of one of the triangles is base*height/2 = 4.4*3/2 = 6.6 square cm.

Since we have 5 identical triangles with this area, we have a total area of 5*6.6 = 33 square cm

Answer:

165

Step-by-step explanation:

The formula for the area of the pentagon is 5/2 × s × a. 

5/2×22×3

5/2 × 66/1= 66÷2

=33

33×5=165

Answer:

21

Step-by-step explanation:

To solve this problem, we need to remember the order of operations. First, you would do 6×6 to get 36, and then 36÷3 to get 12. 9+12 is 21, so the answer is (in words) twenty-one.

Answer:

Twenty-one

Step-by-step explanation:

Follow PEMDAS:

9 + 6^2 / 3

9 + 36 / 3

9 + 12

21

But I put the answer above in standard form…

Hope this helps!

Answer:

Distribute the 3 on the left hand side

Step-by-step explanation:

3 (x − 2) = 2x + 7

Distribute the 3 on the left hand side

3x -6 = 2x +7

Then subtract 2x from each side

Answer:

either 0 or 8, see the step by step for rationale pending the actual question

Step-by-step explanation:

two parallel lines will never intersect.

if it is mean to find the number of 90 degree angles of the two parallel lines and the perpendicular lines, the answer would be 8.

if two lines are perpendicular think of a + sign. there are four angles to make 360 degree so each must be 90 (and the definition of perpendicular).

since there are two parallel lines that intersection happens twice. so 8

Answer:

Red=10 Pink=30

Step-by-step explanation:

you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red

Answer:

12.5%

Step-by-step explanation:

There are 8 equal sized slices

1 slices is yellow

P(yellow) = number of yellow slices/ total number of slices

              = 1/8

                =.125

               = 12.5%

Answer:

12.5%

Step-by-step explanation:

Probability = favorable outcomes / possible outcomes

There are 8 possible outcomes

And 1 favorable outcome ( the 1 yellow portion )

So the probability of the spinner landing on yellow is 1/8 which can also be written as a percentage (12.5%)

Answer:

Option (c).

The angle is given by 3 radian.

Step-by-step explanation:

Arc length = 12 cm

radius = 4 cm

The relation between the angle and the radius is

[tex]angle = \frac{arc length}{radius}\\\\angle =\frac{12}{4}\\\\angle = 3 radian[/tex]

Option (c) is correct.  

Answer:

(-2,-2)

(0,1)

(2,5)

Step-by-step explanation:

(-3,3) and (-1,1) are not solution even though they lie on the line because the line is dashed and not solid

Answer:

60% did not germinate.

Step-by-step explanation:

100% = 5

how many percent are 2 of of these 5 ?

2 = 2/5 × 5 = 2/5 × 100% = 40%

all the other seeds are then the rest of 100%.

100% - 40% = 60%

=>

60% of the seeds did not germinate.

but 40% did.

Answer:

bat puro math pede history lng

Answer:

C. 0.5

Step-by-step explanation:

The diameter of B is from -2 to 2, which = 4 units.

The diameter of B' is from -1 to 1, which equals 2 units.

2/4 = 1/2 = 0.5 scale factor.

She plays soccer and golf for a total of 125 minutes:

s + g = 125

She plays soccer 45 minutes more than she plays golf:

s = g + 45 this is for A

B= 40 minutes of golf everyday

C= Yes, because in fact, she plays 85 minutes of soccer everyday, and 85 is greater than 80, so yes she CAN play 80 minutes of soccer every day. Perhaps they meant possible to spend ONLY 80 minutes, then NO, that wouldn't be possible, because then by playing 45 minutes more soccer than golf, she wouldn't have played enough to have 125 total minutes of total play. Technically the way the question is worded, the answer is yes.

I hope this helps!

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

[tex]a\:=\:2[/tex], [tex]b\:=\:-1[/tex] and [tex]c\:=\:-3[/tex]

7) [tex]3 {a}^{2} - b[/tex]

Plugging in the values of [tex]a[/tex] and [tex]b[/tex], we have

[tex] = 3( {2})^{2} - ( - 1)[/tex]

[tex] = 3(2 \times 2) + 1[/tex]

[tex] = 3 \times 4 + 1[/tex]

[tex] = 12 + 1[/tex]

[tex] = 13[/tex]

Hence, [tex]\boxed{ c. \:13 }[/tex] is the correct option.

8) [tex] {a}^{3} {b}^{3} - abc[/tex]

Plugging in the values of [tex]a[/tex] and [tex]b[/tex] and [tex]c[/tex], we have

[tex] = ({2})^{3} ( { - 1})^{3} - 2( - 1)( - 3)[/tex]

[tex] = (2 \times 2 \times 2)( - 1 \times - 1 \times - 1) - 2(3)[/tex]

[tex] = (8)( - 1) - 6[/tex]

[tex] = - 8 - 6[/tex]

[tex] = - 14[/tex]

Hence, [tex]\boxed{ d.\:-14 }[/tex] is the correct option.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]

7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]

[tex] \huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]

[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]

[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]

[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}[/tex]

8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]

[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:-54}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We have,

[tex]'m = 18'[/tex] and [tex]'a = - 3'[/tex]

Substituting the values of [tex]m[/tex] and [tex]a[/tex] in [tex]F=ma[/tex],

➺[tex]\:F = 18 \times - 3[/tex]

➺[tex] \: F = - 54[/tex]

Therefore, the value of F is [tex]\boxed{-54}[/tex].

F = force

m = mass

a = acceleration.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]