a box contains 24 light bulbs of which four are defective. if one person selects 10 bulbs from the box in a random manner, and a second person then takes the remaining 14 bulbs, what is the probability that all four defective bulbs will be obtained by the same person?

Answer:

Subtract 66.5 from Devon's total to find how much he has left

[tex]8 + 3x = 1 + 7.9x \\ \\ \implies 3x - 7.9x = 1 - 8 \\ \\ \implies - 4.9x = - 7 \\ \\ \implies \: x = \frac { \cancel{- 7}}{ \cancel{ - 4.9} } \\ \\ \implies \: x = 1.43[/tex]

choti bachi hô kya itne simp question ka answer kon puchta hai xD

Answer:

the answer you are looking for is D

Answer:

x= -1, -13

Step-by-step explanation:

Answer: x=-13   x=-1

Step-by-step explanation:

[tex]x^2+14x=-13\\x^2+2(x)(7)+7^2-7^2=-13\\(x^2+2(x)(7)+7^2)-49=-13\\(x+7)^2-49=-13\\(x+7)^2-49+49=-13+49\\(x+7)^2=36[/tex]

[tex](x+7)^2-36=36-36\\(x+7)^2-36=0\\(x+7)^2-6^2=0\\(x+7+6)(x+7-6)=0\\(x+13)(x+1)=0\\x+13=0\\x+13-13=0-13\\x=-13\\x+1=0\\x+1-1=0+(-1)\\x=-1[/tex]

The probability of a lizard living for more than 2.5 years is 16%.

The average lifespan of a lizard is 3.1 years, with a standard deviation of 0.6 years.

Average lizard u = 3.1,

standard deviation σ = 0.6

To calculate the likelihood of a lizard living for more than 2.5 years;

p(X<2.5)

μ + aσ = 2.5

3.1 + a(0.6) = 2.5

a(0.6) = −0.6

a = −1

To calculate the probability, apply the empirical rule.

The total area = 100% (since total probability always is 1)

Area from  μ to ∞  =  p(X > μ)  = 50%

Area between  (μ−σ)  and  (μ+σ)  = 68%  

Area between  (μ−σ)  and  μ  is  p((μ−σ) < X < μ)  =34%  

Thus,

p(X< (μ−σ)) = 1 − (p((μ−σ) < X < μ) + p(X > μ))

                  = 1 − (0.34 + 0.5)

p(X< (μ−σ)) = 0.16  

Therefore, the probability that a lizard will live longer than 2.5 years 16%.

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The function F(20) is 50

The most common symbols for a function are the letters f, g, and h. A function's value at an element of its domain x is denoted by the notation f(x), and the numerical value obtained from the function evaluation at a specific input value is denoted by substituting that value for x. For instance, the value of f at x = 4 is denoted by the notation f(x) (4). When a function isn't given a name and is instead represented by the expression E, the value of the function at, say, x = 4 may be shown by the notation E|x=4.

Given that :f(x) = 2x + 10

f(x) = 2x + 10

F(20)= 2(20) + 10

F(20)= 40 + 10

F(20)= 50

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Answer:

a) the answer it 10 so no

b) the answer is −39 so nah

c) the answer is 48, nope

d) the answer is  34, did you mean to write 34 instead of 24?

Step-by-step explanation:

Answer:

Step-by-step explanation:

8(2+3)

Answer:

y=4x+9

Step-by-step explanation:

y-Y1= m× x-X1

Y-1 = 4×X+2

y-1 = 4x+8

y=4x+9

The value of x is found as 3 using the method of substitution.

For the given expression, use substitution method to solve.

2x + y = 7  ........eq 1

y = 2x - 5  ........eq 2

Substitute the value of y from eq 2 in eq 1.

2x + 2x - 5 = 7

Solving;

4x = 7 + 5

4x = 12

x = 3

Thus, the value of x is found as 3.

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Based on the results of Mean and Median, we can say that Mean is larger than median in value .

Mean of n observations can be calculated using the formula

Mean = (sum of all observations)/(number of observations) .

After arranging the data in ascending or descending order , the middle value can be called as Median .

In the question ,

the set of numbers is given as 4, 5, 11, 12, 5, 38, 44

rewriting them in ascending order ,we get 4, 5, 5, 11, 12 ,38 ,44   .

the sum of all the number = 4+5+5+11+12+38+44

                                           = 119

number of observations = 7

hence the mean = 119/7 = 17

So, mean = 17

from the set of numbers 4, 5, 5, 11, 12 ,38 ,44 we can see that

the middle value of the set of numbers is 11 .

So , median = 11 .

On comparing the mean = 17  and the median = 11 ,

we can say that the mean is greater than median.

Therefore , based on the results of Mean and Median, we can say that

Mean is larger than median in value .

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Answer: y=-47/5

Step-by-step explanation:

Yw

California is the most populated state, New York is the least populated, and 26% of Americans live in California, New York, and Texas.

Convert all statistics to percentages:

CA: 3 25 = 0.12 or 12%, 0.12 100 to calculate percentages.

NY: 3 50 = 0.06, or 6%, and 0.06 100 to get the percentage.

TX: 2 25 = 0.08 = 8%, 0.08 100 = percent

(A) California has the largest population of the three states.

(B) New York has the smallest population of the three states.

(C) USA = 100%, CA + NY + TX = 26%, so 74% of Americans do not live in these three states.

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Answer:

y = mx + b

y = 1/4x + 2

Step-by-step explanation:

m(slope) = rise/run = 1/4

b(y intercept) = 2

Answer:

45 levels

Step-by-step explanation:

60% of 75 is 45 i think

Answer:

54 cm

Step-by-step explanation:

A cube has six sides. The area of each face is found by squaring the length of a side. To get the total surface area of the cube, you'll multiply the area of one face by the number of faces.

a = edge

Area = 6a to the power of 2

Answer:

43°

Step-by-step explanation:

Alternate interior angle are congruent.

Answer:

Not linear

Step-by-step explanation:

Can be written into the form of [tex]y=mx+b\\[/tex].

She buy 48 inches of ribbon to have the exact amount that she needs.

Given,

Area of the ribbon = 144 sq. inches

and, We know the formula for side of square is =[tex]\sqrt{Area of a square }[/tex]

Plug the value of area of square in above formula

Side of a Square = [tex]\sqrt{144}[/tex] = 12 inches

Now, we get the side of a square i.e., 12 inches

According to the question:

Sonya wants to sew ribbon along each side of a square pillow.

So, we need to find the perimeter of the square pillow.

and, Perimeter of a square is = 4 x side

=> Perimeter = 4 x 12 = 48 inches.

Therefore, She buy 48 inches of ribbon to have the exact amount that she needs.

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Answer: yes, the value of x is 4 and angle HEB is 36 degrees

Step-by-step explanation:

1a. Find the value of angle CEB

Given that line segment AB and line segment EC are perpendicular you know they are right angles and therefore are equal to 90 degrees

2a.set up an equation

After noticing that angle CEB is 90 degrees you know that angle HEB+CEH=90 degrees: 13x+9x+2

3a. Solve the equation

13x+9x+2=90

22x+2=90 | combine like terms

22x=88 | subtract 2 from both sides

x=4 | divide by 22 on both sides

1b. Set up equation

Knowing x=4 and that angle HEB is 9x the equation is 9(4)

2b. Solve the equation

9(4)

36

Answer: 5/3

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.

The linear equation in point-slope form of a line with a slope of 23 and point (3,-2) is y = 23x - 71.

The slope intercept formula is expressed as;

y = mx + b

Where m is the slope and b is the y-intercept.

Given the data in the question;

Point: (3,-2)

First, use the the formula for the equation of line to determine the y-intercept 'b'.

y = mx + b

Plug in slope m = 23 and point (3,-2)

-2 = (23)3 + b

-2 = 69 + b

b = -2 - 69

b = -71

Now that we have both the slope m ( 23 ) and y-intercept b ( -71 ), plug these values into y = mx + b to find the linear equation.

y = mx + b

y = 23x + (-71)

y = 23x - 71

Therefore, the equation of the line is y = 23x - 71.

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Answer:

‎

4 + (-125)‎

= 4 - 125‎

= -121‎

‎

The value of of slope of is 1/4.

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope of lines in a coordinate plane can aid in anticipating whether the lines are parallel, perpendicular, or none at all without actually using a compass.

Any two distinct places along the line can be used to determine the slope of any line. When two different places on a line are considered, the slope of a line formula compares the "vertical change" to the "horizontal change" in each case. The difference between the line's y and x coordinate changes is known as the slope of the line. Net changes in the y and x coordinates are as follows: y = y and x = x.

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

m = 1/4

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Given,

f(x) = 1x + 12

expression to be in form of h

To find on the interval: [9, 9 + h]

∵ Average rate of change of f(x) on interval (a,b) is

A = f(b) - f(a) / b - a

⇒ f(9) = 1 x 9 + 12 = 21

⇒ f(9 + h) = 9 +h + 12 = 21 + h

⇒ f(b) - f(a) = 21 + h - 21 = h

⇒ (b-a) = 9 + h - 9 = h

∴ Average rate of change = h / h

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Hence the average rate of change, in simplest form is -10 .

What is average rate of change?

Using the coordinate points from the table  ( 4,53) ( 8, 13 )

Substitute the coordinate into the expression

Average rate of change  = y₂ - y₁/x₂ - x₁

                                         = 13 - 53/8 - 4                    

                                         = -  4 0/4 ⇒ -10

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