A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that exactly 4 bulbs from the sample are defective? Round your answer to four decimal places.

For the given options, we will find the function that has the greatest rate of change as x approaches infinity

The first function is a linear

The second function is quadratic

The third function is exponential

By reviewing the graph of the three functions, we can know that the exponential function has the greatest rate of change as x approaches infinity

So, the answer will be option C) h(x)

raina runs 6 miles in 55 minutes

so it speed is 6/55 miles per minute

that means in one minute he runs 6/55 miles

so in 44 minutes

in 44 minutes he will run 24/5 miles or 4.8 miles

The length of the tape is 3 and it is divided into equal parts or groups. The length of each group is 1/4. This means that the number of groups in 3(the tape) would be

3÷1/4

We can hold 3 and flip the fraction, 1/4. If we flip 1/4, it becomes 4/1 and the division sign becomes multiplication. The expression would be

3 x 4/1 = 12

The correct option is A

Answer:

D

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{\frac{5\pi }{8} }{2\pi }[/tex]

   = π × 12.8² × ([tex]\frac{5}{8}[/tex] ÷ 2)

   = π × 163.84 × [tex]\frac{5}{16}[/tex]

   ≈ 160.8 cm² ( to the nearest tenth )

Answer: 67.15

Step-by-step explanation:

⇒g(f(x)) means that in the place of x in the function g you will plug in the function f.

⇒This means that [tex]2x^{2} -5[/tex] will be plugged in the place of x in 5x+7 and the simplify.

⇒[tex]=5(2x^{2} -5)+7\\\\=10x^{2} -25+7\\=10x^{2} -18[/tex]

⇒Now you have the unknowns The coefficient of the variable [tex]x^{2}[/tex] is 10 and the constant number is -18.

The graph is shifted right to 3 units, then the graph has a horizontal stretch by a factor of 2 and the graph is shifted up 4 units.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The function is:

f(x) = x²

First transformation:

x → (x- 3)

The graph is shifted right to 3 units.

F(x) = (x- 3)²

Second transformation:

F(x) → 2F(x)

The graph has a horizontal stretch by a factor of 2.

h(x) = 2(x- 3)²

Third transformation:

h(x) → h(x) + 4

The graph is shifted up 4 units.

g(x) = 2(x- 3)² + 4

Thus, the graph is shifted right to 3 units, then the graph has a horizontal stretch by a factor of 2 and the graph is shifted up 4 units.

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IT HAS TO BE X=0 BECAUSE YOU ADD 8 TO X-8 THAT REMOVES THAT 8 THEN THE ADD 8 TO THE OTHERSIDE OF THE EQUAL SIGN

Given: Brian cut

of fishing line from a new reel.

Required: To find how much Brian cut in inches.

Explanation: Since 1 yard is equivalent to 36 inches. Hence we need to multiply by 36 to convert yards to inches.

Hence Brian cut-

Final Answer: Brian cut 147 inches of fishing line from a new reel.

A rational number is a number that can be expressed as a ratio of two integers. Integers can be positive or negative. Rational numbers are simply fractions. For example;

-5/2, -1/5, 3/1, 4/5 etc are all rational numbers because we can write them as a ratio of two integers.

Since some of this fractions can lead to both negativa and positive integers, hence rational number is a positive or negative whole number including 0.

Hence all the options are correct since rational numbers are are also repeating decimals

Given the following question:

The family spends 90 dollars at a grocery store each week

The family spends 40 dollars each time they go out to eat.

Part one:

If the family goes out to eat four times they would have spent 250 dollars.

Part two:

The final point on the graph is (6, 330)

Which means if the family goes out six times, the budget is 330 dollars.

So, your answer is 6.

Answer:

[tex]x=\dfrac{1}{5}, \quad y=6[/tex]

Step-by-step explanation:

Given equations:

[tex]\begin{cases}y=10x+4\\2y+5x=13\end{cases}[/tex]

To solve the given equations by substitution, substitute the first equation into the second equation and solve for x:

[tex]\begin{aligned}\textsf{Equation 2}: \quad 2y+5x&=13\\\\y=10x+4 \implies 2(10x+4)+5x&=13\\20x+8+5x&=13\\25x+8&=13\\25x+8-8&=13-8\\25x&=5\\\dfrac{25x}{25}&=\dfrac{5}{25}\\x&=\dfrac{1}{5}\end{aligned}[/tex]

Substitute the found value of x into the first equation and solve for y:

[tex]\begin{aligned}\textsf{Equation 1}: \quad y &=10x+4\\\\x=\dfrac{1}{5} \implies y&=10\left(\dfrac{1}{5}\right)+4\\y&=\dfrac{10}{5}+4\\y&=2+4\\y&=6\end{aligned}[/tex]

Therefore, the solution to the equations is:

[tex]x=\dfrac{1}{5}, \quad y=6[/tex]

(a) 291/2020

Divide the total for the 10-14 year column by the total.

(b) 77/465

There are 465 people from the east, 77 of which were loyal for 10 to 14 years

(c) 437/1010

There are 291+583=874 people who were loyal for at least 10 years. Divide this by the total of 2020 people.

(d) 145/376

376 people are from the West, (45+100)=145 of which are at least 10.

(e) 32/157

157 people were loyal for less than a year, 32 of which were from the East.

(f) 53/157

157 people were loyal for less than a year, 53 of which were from the South.

(g) 433/465

465-32=433 people were loyal for at least 1 year out of the 465 people from the East.

(h) 335/376

376-41=355 people were loyal for at least 1 year out of the 376 people from the West.

Answer:

The equation is y = 50 + 25x. The slope is the additional cost per hour, and the y-intercept is the cost of the service call to appear at the house.

The limits of the range for the length of time that Act 3 could last is 33.6

The values that a function approaches for the specified input values are known as limits in mathematics. Limits are essential to calculus and mathematical analysis because they help define concepts like integrals, derivatives, and continuity. It's employed in the analysis process and always has to do with how the function behaves at a specific moment. In the idea of the limit of a topological net, the limit of a sequence is further generalized and connected to the limit and direct limit in the theory category. In general, integrals are divided into two categories: definite integrals and indefinite integrals.

A 24-hour period was predicted for Act 3 of the 2003 Leonid meteor shower. This prediction had a 0.7-day error window. How long could Act 3 potentially last, in the range

Lower Limit: 24-0.7(24) = 0.3(24) = 7.2 hrs

Upper Limit: 24+0.7(24) = 40.8 hrs

Range = Upper Limit - Lower Limit

= 40.8 - 7.2

=33.6

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Answer:

x= 3

Step-by-step explanation:

Add

8

to both sides

3x-8=1

2

Simplify

Add the numbers

3x=9

3

Divide both sides by the same factor

3x=9

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

Answer:

x = 3

You first add 8 to both sides:

3x - 8 + 8 = 1 + 8

Simplify:

3x = 9

The divide both side by the same factor:

3x/3 = 9/3

9 divided by 3 is 3 so the solution is:

x = 3

Step-by-step explanation:

Hope it helps! =D

Benji's total score is -2.

If two numbers are negative, their sum will also be negative. When two negative numbers are added together, their value is further diminished, hence the sum of the two negative numbers is always negative.

Given:

Benji has four -0.5 cards.

According to the question, we have to determine his total score which will be equal to adding scores on all four cards.

As we are adding negative scores, upon adding them place a negative sign in front of the sum.

The total score of Benji = (-0.5) + (-0.5) + (-0.5) + (-0.5)

                                        = -2

Therefore, his total score is -2.

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A rectangle is graphed on a coordinate plane. For two of the vertices of the rectangle are (-5,8) and (-5,-6) what is the distance between the two vertices

A 2units

B 4 units

C 10 units or

D 14 units

Find out the distance between the given vertices

we have that

the two coordinates have the same x-coordinate

that means

the distance between the points is the difference of the y-coordinates

8-(-6)=8+6=14 units

Problem N 2

we have that

between -1 and -2 there are 5 spaces

the value of each space is 1/5=0.20

therefore

point A is -1.60

option C

Answer:

see explanation

Step-by-step explanation:

ratio required is houses : turbines

let x be the number of turbines required for 26 houses , then

[tex]\frac{6houses}{18turbines}[/tex] = [tex]\frac{26houses}{x}[/tex] ( cross- multiply )

6x = 26 × 18 = 468 ( divide both sides by 6 )

x = 78

78 turbines are required for 26 houses

Answer:

HIH

Step-by-step explanation:

HOW ARE

Answer:

unless you are looking for L, then it's

L = 189/d-7

For the given values of x and y, the value of y/x (that represents the slope of the equation) = 3/1, 3/1, 3

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.

Given are the values of the x and y

y/x represents the slope of the equation,

for x = -1 and y = -3,

y/x = 3/1

for x = 1 and y = 3

y/x = 3/1

for x = 2 and y = 6

y/x = 6/2 = 3

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The time that the tank began leaking water is 12:40am

The time the tank will be empty is  11 : 23 pm.

The function that would determine the amount of water in the tank is a linear function. A linear function is a function that has a single power that is raised to the power of one. When drawn on a graph, a linear function is a straight line.

The first step is to determine the rate of leakage of the tank.

Rate = (water in the tank at 11am - water in the tank at 8:30am) / change in time

(137 - 115) / (11 - 8:30)

22 / 2:30

22 ÷ 2 1/2 hours = 8.8 gallons per hour

Linear function would have this form:

Water in the tank = water in the tank when full - (rate of leakage x number of hours)

137 = 200 - (8.8xh)

137 = 200 - 8.8h

200 - 137 = 8.8h

63 = 8.8h

h = 63 / 8.8

h = 7.16 hours = 7 4/15 hours

8 -  7 4/15 hours = 12 10/15 hours = 12.40am

When the tank is empty:

0 = 200 - 8.8h

200 - 0 = 8.8h

200 / 8.8 = 22.72 = 22 hours 43 minutes

22 hours 43 minutes + 12 : 40M = 11 : 23 pm

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Answer:

The second one

Step-by-step explanation:

FOR THE FURST QUESTION.

[tex] {27}^{ \frac{1}{2} } \\ = (3^{3} )^{ \frac{1}{2} } \\ = {3}^{3 \times \frac{1}{2} } \\ = 3^{ \frac{3}{2} } [/tex]

FOR THE SECOND QUESTION

[tex] \sqrt{2} \\ = ( \sqrt[3]{8} )^{ \frac{1}{2} } \\ = ( {8}^{ \frac{1}{3} } )^{ \frac{1}{2} } \\ = 8^{ \frac{1}{3} \times \frac{1}{2} } ) \\ = 8^{ \frac{1}{6} } [/tex]

FOR THE THIRD ONE

[tex] \frac{ \sqrt{2} }{16} \\ = \frac{ \sqrt{2} }{16} \\ = \frac{ {2}^{ \frac{1}{2} } }{ {2}^{4} } \\ = 2^{ \frac{1}{2} - 4 } \\ = 2^{ - \frac{7}{2} } [/tex]

ATTACHED IS THE SOLUTION

1.

2.

3.

In the figure of the second exercise there is one block which is not visible.

4.

We can see that the figure is made with 8 blocks

5.

The maximum length of the figure would be 6. You need 3 blocks to get a heigth of 3 units. Then you can add the other 5 blocks to the one which is in the base to make the figure with a length of 6 units.

ANSWER

EXPLANATION

To find the number of square feet the window requires, we have to find the area of the shape.

The shape given is a kite, and the area of a kite is:

where p and q are the diagonal lengths.

From the question given:

Therefore, the area of the kite is:

That is the number of square feet of glass that the window requires.