A factory makes car batteries. The probability that a battery is defective is 1/11. If 500 batteries are tested, about how many are expected to be defective?

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Explanation:

We have

f(-5) = 0 and f(2) = 4

This means the two points (-5,0) and (2,4) are on this line

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Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)

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

m = (4 - 0)/(2 - (-5))

m = (4 - 0)/(2 + 5)

m = 4/7 is the slope

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Plug m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y.

y - y1 = m(x - x1)

y - 0 = (4/7)(x - (-5))

y = (4/7)(x + 5)

y = (4/7)x + (4/7)*5

y = (4/7)x + 20/7

f(x) = (4/7)x + 20/7

This linear equation has a slope of 4/7 and a y intercept of 20/7.

The equation for f ( x ) would be; f(x) = (4/7)x + 20/7

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

We are given f(-5) = 0 and f(2) = 4

This means the two points (-5,0) and (2,4) are on this line

To Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)

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

m = (4 - 0)/(2 - (-5))

m = (4 - 0)/(2 + 5)

m = 4/7 is the slope

Then substitute m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y;

y - y1 = m(x - x1)

y - 0 = (4/7)(x - (-5))

y = (4/7)(x + 5)

y = (4/7)x + (4/7)*5

y = (4/7)x + 20/7

f(x) = (4/7)x + 20/7

The linear equation has a slope of 4/7 and a y intercept of 20/7.

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Answer:

1. The first step is to  add 1.72  on both sides.

2. The second step is to  multiply by 4/3  on both sides.

3. The solution is x =  -6.8

Step-by-step explanation:

EDGE 2020

The value of x in the the two-step equation is -6.80.

In order to determine the value of x, take the following steps:

The first step is to combine similar terms together:

3/4x = -6.821 + 1.72

Add similar terms

3/4x = -5.101

Divide both sides of the equation by 4/3

x = -6.80

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Answer:

answer b -2.25

Step-by-step explanation:

The zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25

We have:

f(x) = 16x^2 + 32x - 9

Next, we test the options.

x = –5.25

f(-5.25) = 16(-5.25)^2 + 32(-5.25) - 9

Evaluate

f(-5.25) = 264 --- this is false

x = –2.25

f(-2.25) = 16(-2.25)^2 + 32(-2.25) - 9

Evaluate

f(-2.25) = 0 ---- this is true

Hence, the zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25

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Answer:

create a graph

Step-by-step explanation:

you have to make a line on the graph using the function

Answer:

D, 4

Step-by-step explanation:

The graph crosses the x-axis 4 different times

Answer:

7.04

Step-by-step explanation:

To get the value of residual of the data point, we simply substitute 11 for t

The substitution equation is h = 0.6t + 0.44

Substituting 11, we have

h = 0.6(11) + 0.44

h = 6.6 + 0.44

h = 7.04

Answer:

The residual of the data point h = 0.6t + 0.44, is h = 7.04.

Step-by-step explanation:

Given the line of fit, h = 0.6t + 0.44, which Brenda collected from an experiment, at the point t = 11, the residual of the data point is obtained by replacing t with 11 in the given equation h = 0.6t + 0.44.

Doing this, we have

h = 0.6(11) + 0.44

h = 6.6 + 0.44

= 7.04

This is what we want to obtain.

Answer:

second payment from the left

Step-by-step explanation:

A car loan should decrease as time passes when you make regular payments

This should be the second payment from the left

Answer:

So since we use law of sines. We can get 2 fractions equal to eachother but first we need to solve for missing angle. That would be 180-105-15 = 60

So now we can get a fraction. So that means that sin(105)/2 = sin(60)/a

Then we do recipricol. 2/sin(105) = a/sin(60)

multiply by sin(60) both sides.

2sin(60)/sin(105) = a

round and solve and we get a is equal to

1.7931 or 1.8

Answer:

Table 1 is definetely non-linear thats because if 10 - 8

then you multiply both sides by 4 you get 40 - 32 but instead of 32 it says 23.

Table 2 is also non-linear because if 8 - 4 that means y=x/2 but for 20-16 it should be 20-10 if it was linear but its not

BOTH ARE NON-LINEAR

Answer:

Step-by-step explanation:

cant seee the pic

y is ⅓ of x

ratio of x to y is 3:1

x=¾

y=¼

¼÷¾=⅓

that means y is ⅓ of x

to confirm the answer.when you take¾×⅓=¼.

Answer:

Its B

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Sample space, S =  ON, OFF

⇒n(S) = 2

n(E) = ON = 1

P(E)  = 1/2

Answer:

b

Step-by-step explanation:

bc

Answer:

A∪B = {0,1,3,5,6,7,9}

A∩B = {3}

Step-by-step explanation:

A = {1,3,5,7}

B = {0,3,6,9}

Now

A∪B is a union (unity) of both sets

A∪B = {0,1,3,5,6,7,9}

Now

A∩B is the intersection(common elements) of both sets

A∩B = {3}

Answer:

Step-by-step explanation:

A ={1, 3 , 5 , 7}

B= {0, 3 , 6 , 9}

A U B is a set of all distinct elements that are in A or B

A U B = {0, 1 , 3 , 5 , 6 , 7 , 9}

A ∩ B is a set  of all distinct elements that are in both A & B

A  ∩ B = {3}

1 hour = $8.00

48 hours = $8 x 48

48 hours = $384

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Answer: $384

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Answer:

I believe it's c.

Step-by-step explanation:

Starts and includes 2, goes until and includes 5.

Answer:

C

Step-by-step explanation:

Domain represents the possible x-values and the line on the graph only runs through x-values between 2 and 5.

Answer:

It's rational number

Step-by-step explanation:

Natural numbers  are the positive integers also known as whole numbers.

Answer:

Question 1:

The sum of interior angles of a polygon can be found by the following formula:

(n-2) × 180

Where n is the no. of sides

A pentagon has 5 sides

So,

= (5-2) × 180

= (3) × 180

= 540 degrees

Question 2:

Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8

So, Measure of interior angle = [tex]\frac{1080}{8}[/tex]

Measure of interior angle = 135 degrees

Question 3:

Since, one interior angle in a hexagon measures 120 degrees.

So,

The interior angle should be subtracted by 180 to get the exterior angle.

Exterior angle = 180-120

Exterior Angle = 60 degrees

Answer:

the answer is

Step-by-step explanation:

if we take a and b as two pupil to share the money,then a gets

$15 and b gets $75

sum of the ratio is=6

a =1/6×$90

=$15

b=5/6×$90

=$75

Answer:

15 days

Step-by-step explanation:

5 x 21 = 105

105/7 = 15

Answer:

15 days

Step-by-step explanation:

As the number of people in that family increases the time taken reduces, so the time is in inverse proportion to the number of people in that family.

Let the number of days taken by a family of 7 to finish a quantity of food be x.

⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{1}{\frac{7}{5} }[/tex]

⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{5}{7}[/tex]

⇒ x = [tex]\frac{21 * 5}{7}[/tex]

x = 15

∴ It would take a family of 7 15 days to finish a quantity of food.

Hope this helps!!!

Answer:

5

Step-by-step explanation:

The square root of a number is basically that number multiplied by itself.

for example, the square root of 4 is 2 because 2 x 2 is 4

the square root of 25 is 5 because 5 x 5 = 25

Answer:

root 25 = 5

Step-by-step explanation:

because when we will do the prime factorisation then at your left side 5x5 will come aand at right side will come so, 5x5 = 25 .

please mark my answer as a brainliest answer and follow me

Answer:

Where are the reasons and boxes? Could you repost with more information or a picture please? Thank you!

Step-by-step explanation:

Answer:

[tex]\frac{130}{n}[/tex]

Step-by-step explanation:

Each friend would get [tex]\frac{130}{n}[/tex] sand dollars.

As they would get an equal proportion based on the population size.

Answer:

Yes.

Step-by-step explanation:

Because the terms inside the parentheses are fully simplified, we can just add up the terms:

(5x - 6) + (x + 2) =

5x - 6 + x + 2 =

5x + x - 6 + 2  =

6x - 4

Answer:

Step-by-step explanation:

10x^3y^2

10(-2)^3 * (-3)^2 = -720

Answer: Negative 720

Step-by-step explanation:

-2 * -2 * -2 = -8

10 * -8 = -80

-3 * -3 = 9

-80 * 9 = -720

Answer:

Step-by-step explanation:

(5x^2 + x-3) - (-2x^3 + 4)=2x³+5x²+x-7

Answer:

2x^3 +5x^2 +x -7

Step-by-step explanation:

(5x^2 + x-3) - (-2x^3 + 4)

Distribute the minus sign

(5x^2 + x-3) +2x^3 - 4

Combine like terms

2x^3 +5x^2 +x -7

Answer:

The percentage increase in volume of the prism is impossible to find. This is because the current dimension or the diagram from which the dimension of the prism could be determined is not given.

However I will explain the methods to follow in finding this percentage increase, assuming that the current dimension of the prism is given.

Step-by-step explanation:

Assuming the volume the of prism is x ft³. After adding 1 ft to each dimension, the volume becomes y ft³.

The percentage increase = (y/x) × 100

= z%

That is,

Percentage increase = [(New volume) ÷ (Old volume)] × 100

The resulting value, z% is the percentage increase.

Answer:

[tex] \boxed{\frac{1}{4} } [/tex]

Step-by-step explanation:

[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]

[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]

Answer:

[tex]=\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]2^{-2}\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\2^{-2}=\frac{1}{2^2}\\=\frac{1}{2^2}\\2^2=4\\=\frac{1}{4}[/tex]

Answer:

Step-by-step explanation:

2(6+12)=16

2 X 6 +  2  X  12

12     +     24

       26  =  16

HOPE U GE5T IT