Let the random variable X be a random number with the uniform density curve in the figure below. Find the following probabilities. O P(X 2 0.35) O P(X = 0.35) O P(0.35 < X < 1.25) O P(0.10 < X < 0.20 or 0.6 < X < 0.9) O X is not in the interval 0.5 to 0.6.

Supplementary: 1 and 2 & 3 and 4

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: 1 and 3 & 2 and 4

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: None

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

Answer:

$35.21

Step-by-step explanation:

100%:$78.25

45% :$?

100?=78.25×45

?= 78.25×45/100

=$35.21

Answer: $35.21

Step-by-step explanation: 100%:$78.25

45% :$?

100?=78.25×45

?= 78.25×45/100

=$35.21

Answer:

C.

Step-by-step explanation:

Answer:

-3.5

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

add the number of fans together: 7500+17500 = 25000

write as fraction, fans of New England Revolution over total number: 7500/25000

simplify or use calculator: 3/10 or 0.3

convert fraction or decimal to percentage: 30%

Answer:

Step-by-step explanation:

look for the stem and leafs that are less than 10 and add them all up

5+7+9

Answer:

hope it helps you

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Answer:

13/16

Step-by-step explanation:

Turn [tex]\frac{7}{16} +\frac{3}{8}[/tex] into [tex]\frac{7}{16} +\frac{6}{16}[/tex]

If both denominators are the same the number it makes it easier to add.

Since 8*2 is 16 you have to do 3*2 in order for 3/8 and 6/16 to be equivalent.

then add the top numbers, not the bottom bc the bottom stays the same.

7+6=13 so the answer is 13/16

hope that helps:)

Answer:

1.486m/s

Step-by-step explanation:

The rate of change is defined as the change in distance divided by the change in time

Rate = ∆distance/∆time

Distance = 16.5 and 5.5

Time = 10.9 and 3.5

When we put this into the formula above, we have:

Rate of change = 16.5 - 5.5 / 10.9 - 3.5

= 11/7.4

= 1.486m/s

The constant rate of change has been calculated to be equal to 1.486m/s

You can use the fact that the rate of the change of a value when some other independent value changes is the ratio of change in the dependent variable to the change in the independent variable.

The constant rate of the current is given by 1.4865 meters per second.

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

The distance traveled by the tracker depends on the time passed.

Let the variable "t" tracks the amount of time passed and let the variable "d" tracks the distance traveled by the tracker, then we have:

[tex]\rm At \: t = t_1 = 3.5, d=d_1 = 5.5 \: m\\At \: t = t_2 = 10.9, d = d_2 = 16.5 \: m[/tex]

Thus, the constant rate of current is obtained by

[tex]Rate = \dfrac{d_2 - d_1}{t_2 - t_1} = \dfrac{16.5 - 5.5}{10.9 - 3.5} = \dfrac{11}{7.4} \\\\Rate \approx 1.4865 \: \text{meters per second}[/tex]

Thus,

The constant rate of the current is given by 1.4865 meters per second.

Learn more about rate of change here:

https://brainly.com/question/2460159

Answer:

0.667 ;

0.667 customers ;

0.0166708 hour ;

1.334 customers

Step-by-step explanation:

Given that:

Service time (μ) = 30 seconds ; 2 customers per minute ; 2 * 60 = 120 customers per hour

Arrival time, λ = 80 customers per hour

a.) percentage of time machine is busy (p) ; Utilization factor :

P = λ/ μ = 80 / 120 = 0.667

b.) average number of customers waiting in line Li = p² / 2(1-p)

= 0.667² / 2(1-0.667) = 0.667 customers

c) Average time customer spend in the system = Li/λ + 1/μ

= (0.667 / 80) + (1 / 120)

0.0083375 + 0.0083333

= 0.0166708 hour

= 0.0166708 * 60 = 1.00025 minutes

D) average number in the system ;

Li + p

= 0.667 + 0.667 = 1.334 customers

Answer:

3/4

Step-by-step explanation:

3/4 = .75

4/10 = .40

2/5 = .40

1/3 = .33

Answer:

3/4 is greater then 4/10 and 2/5 is greater then 1/3 and that's all I know

Step-by-step explanation:

Answer:

its 12 in mathematics....

Answer:12533

Step-by-step explanation:

Answer:

Your answer

313866

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

Answer:

21 is the answer

a question arises how?? right

so, 3x+1

3×21+1

63+1

64

Answer:

a) 21

Step-by-step explanation:

Since, in the figure

64° = (3x+1)° [Vertically Opposite Angles]

=> (3x+1)° = 64°

=> 3x = 64° - 1° = 63°

[tex] => x = \frac{63}{3} [/tex]

=> x = 21 (Ans)

Answer:

it might be d I am not shore but I think that one sounds the best branley is making me do this to sigh. up sorry donjot use this

Answer:50%

Step-by-step explanation:

Answer:

the bought 65% porcentege

Answer:

-11/12

Step-by-step explanation:

slope for points (x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

(x,y)

(-12,15)

(0,4)

x1=-12

y1=15

x2=0

y2=4

slope=(4-15)/(0-(-12))=-11/(0+12)=-11/12

Answer:

Slope: -11/12x

Step-by-step explanation:

Slope-intercept equation:

y = mx + b

(m = slope)

The formula for slope is below.

m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

With your two points, you can accurately determine your slope.

(-12, 15) (0,4)

x1 = -12

y1 = 15

x2 = 0

y2 = 4

Apply this information in the slope formula to get:

[tex]\frac{4 - 15}{0 - -12}[/tex]

Change the 0 - -12 to 0 + 12

[tex]\frac{4 - 15}{0 + 12}[/tex]

4 - 15 = -11

0 + 12 = 12

Place -11 and 12 into a fraction.

[tex]\frac{-11}{12}[/tex] OR -11/12

Add "x" to the end from "mx" within the slope-intercept equation

-11/12x

Answer:

its 7

Step-by-step explanation:

why did u delete my answer if its right?

Answer: $14.

Step-by-step explanation: 100 cents is equal to 1 dollar. 1400 cents divided by 100 cents = 14. Therefore, you have 14 dollars.

Answer:

The value of test statistic

   |Z| = |-2.2883| = 2.2883

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 57.7miles/gallon

The standard deviation of the Population = 1.9

The mean of sample x⁻ = 57.4

Given that the sample size 'n' =210

level of significance = 0.1

Step(ii):-

Test statistic

        [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

       [tex]Z = \frac{57.4-57.7}{\frac{1.9}{\sqrt{210} } }[/tex]

      Z = -2.2883

  |Z| = |-2.2883| = 2.2883

Final answer:-

The value of test statistic

   |Z|  = 2.2883

Answer:

C. (1, 10) and (6, 5)

Step-by-step explanation:

To find the point with a distance of 5 units.

Let the points be x and y.

x = x1 and x2

y = y1 and y2

x2 - x1 = 5 units

y2 - y1 = 5 units.

A quick look at the options, we can tell that the correct option is C.

From points (1, 10) and (6, 5)

x1 = 1, x2 = 6, y1 = 10 and y2 = 5

Substituting into the equation above, we have;

x2 - x1 = 6 - 1 = 5 units

y2 - y1 = 5 - 10 = -5 units.

Therefore, option C with points (1,10) and (6,5) have a distance of five units between them.

Answer:

525 $

Step-by-step explanation:

Amount borrowed = $2500

Rate = 7%

Time = 3 years

therefor interest = $2500 X 7/100 X 3

     Hope it help You

Given:

The endpoints of a line segment are (-5,12) and (-5,0).

To find:

The coordinates of a points which divides the line segment in 2:1.

Solution:

Section formula: If a point divides a line segment in m:n.

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Let point P divides the given line segment in 2:1. They, by using section formula, we get

[tex]P=\left(\dfrac{2(-5)+1(-5)}{2+1},\dfrac{2(0)+1(12)}{2+1}\right)[/tex]

[tex]P=\left(\dfrac{-10-5}{3},\dfrac{0+12}{3}\right)[/tex]

[tex]P=\left(\dfrac{-15}{3},\dfrac{12}{3}\right)[/tex]

[tex]P=\left(-5,4\right)[/tex]

Therefore, the coordinate of the point that partitions the given segment in the ratio 2:1 are (-5,4).

Answer:

40(i think)

Step-by-step explanation:

Answer:

instead of x < -4 it should be x > -4

Step-by-step explanation:

7x - 20x < 52

subtract 20x from 7x which is -13x

now the equation is -13x < 52

divide both sides by -13 but when you divide by a negative you switch the sign so it would x > -4 not x < -4

hope this helps :)

Answer:

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]

Step-by-step explanation:

Given

[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]

Required

Simplify

[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]

Rationalize:

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40} }{ \sqrt{3} }*\frac{ \sqrt{3} }{ \sqrt{3} }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40*3} }{ \sqrt{3*3} }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ \sqrt{9} }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ 3 }[/tex]

Expand the numerator

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4*30} }{ 3 }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4}*\sqrt{30} }{ 3 }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ 2*\sqrt{30} }{ 3 }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]

Answer:

2

Step-by-step explanation:

The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.

First, find the change in y between the two points. To do this, do y2 - y1.

y2 = 6 and y1 = 2, so you have 6 - 2 = 4.

Next, find the change in x between the two points. To do this, do x2 - x1.

x2 = 5 and x1 = 3, so you have 5 - 3 = 2.

All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.

The last step is to do change in y divided by change in x, so 4 / 2 = 2.

This means that the slope of the line is 2.

Answer:

The question is invalid. Please provide a diagram.