Please help me!

Find the value of x

Using the inverse operations, the value of h is 54.

An inverse operation can be defined as the operation that undoes what was done by the previous operation.

Therefore, the inverse operation of multiplication is division.

The equation is as follows:

19 = (h/3) - 8

Hence,

add 8 to both sides of the equation

19 = (h/3) - 8

19 + 8 = (h/3) - 8 + 8

27 = h / 3

Multiply both sides of the equation by 3

27 = h / 3

27 × 3 = h / 3 × 3

h = 54

Therefore,

h = 3

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A Type I error occurs in hypothesis testing when one is rejects the null hypothesis and the null hypothesis is true.

To reject the null hypothesis, statisticians conduct hypothesis testing. However, the process is always accompanied by the possibility of making a mistake. These are referred to as hypothesis testing errors.

Type I and Type II errors are the two mutually exclusive errors in hypothesis testing. Type II errors occur when a statistician fails to reject a false null hypothesis, whereas Type I errors occur when a statistician correctly rejects a genuine null hypothesis. So, c is the right response.

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The average income of those who work more and those who work less tends to be equal

The  null hypothesis is a typical statical theory which suggest that no statical relationship and significance exists in a set of given single observed variable , between two sets of observed data and measured phenomena.

The null hypothesis is significant because it offers a rough description of the phenomena inferred from the available evidence. It enables researchers to empirically test the relationship statement in a study.

Example: The null hypothesis is that the population density is the same across all states.

The average income of those who work more and those who work less tends to be equal

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Answer:

Step-by-step explanation:

−1<x+3<5

−1+−3<x+3+ −3<5+−3 (Add -3 to all parts)

Therefore your answer is −4<x<2

The function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.

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.

Let x be the number of cards:

The total cost for the card is f(x)

Then f(x) can be framed as:

f(x) = 20 + 0.06x

Or

f(x) = 0.06x + 20

Thus, the function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.

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The fraction of the total amound he paid for the 11 books is 3/13.

According to our question-

Hence , The fraction of the total amound he paid for the 11 books is 3/13.

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The common difference of the arithmetic sequence is found as -10.

For the given question;

The arithmetic sequence is given as;

28, 14,....

Where 28 is the first term; a₁ = 24.

14 is the second term; a₂ = 14.

Then the common difference 'd' is calculated as;

d =  a₂ - a₁

put the values.

d = 14 - 24

d = - 10

Thus, the common difference of the arithmetic sequence is found as -10.

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No. 26 and 65 both have a common factor of 13, since 26 = 2•13 and 65 = 5•13, so GCD(26, 65) = 13 ≠ 1.

We can also arrive at this using Euclid's algorithm.

65 = 58 + 7 = 2•26 + 13

26 = 2•13 + 0

Since the last remainder is zero, the previous remainder is the GCD.

Answer:

If the variable

y

varies inversely as the variable

x

, then we can write this relationship as:

y

∝

1

x

Removing the proportionality sign and adding a proportionality constant, we have:

y

=

k

x

If the value of y is 18 when the value of x is 5, then:

18

=

k

5

k

=

18

×

5

=

90

Thus, the equation showing the relationship between the two variables is:

y

=

90

x

Using the above equation, the value of y when x = 3 is equal to:

y

=

90

3

=

30

The answers to all the equations are:

So, f(x):

(A) f(x) = x + 3 when f(4)

(B) f(x) = 2x - 9 when f(5)

(C) f(x) = -6x + 2 when f(-3)

Therefore, the answers to all the equations are:

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During plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.

As given in the question,

During plantation sunflower was 15 inches tall

Rate of growth per week = 2 inches

Let x be the number of weeks and y be the height of the plant.

Required height :

y = 15 + 2x

Change in the height of sunflower after 9 weeks

y =15 +2x

 = 15 + 2(9)

 = 15 +18

  = 33 inches

Therefore, during plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.

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If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.

The length of a foot is 12 inches. A ruler can be used to calculate the length of a foot, which is usually one foot. The length of a piece of paper is about one foot.

3 feet make up one yard. A yardstick, which is equal to 1 yard, is typically used to measure yards. The length of a baseball bat is about one yard.

Using the conversion Rule we will convert feet into inches that is

22 feet = 264 inches

We will also convert yards into inches that is

14 yards = 504 inches

Total wire they need = 264 + 504 inches

                                   = 768  inches

We have given that

100 inches wires costs = $3

1 inch wire costs = 3/100

768 inch wire costs = (3/100) × 768

                                 = $23.04

Thus, If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.

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After factorizing the expression 72a⁹b³-18a⁷b⁵completely we get the value of a and b will be ±1 and ±2.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

⇒72a⁹b³-18a⁷b⁵=0  ------(1)

We have to factor in the expression,

⇒72a⁹b³-18a⁷b⁵=0

Take 18a⁷b³ as common,

⇒18a⁷b³(4a²-a²b²)=0

⇒18a⁷b³=0

⇒(4a²-a²b²)=0

⇒4a² = a²b²

⇒b²=4

⇒b=±2

Substitute the value of b in equation 1 we get,

72a⁹b³-18a⁷b⁵=0  

72a⁹(2)³-18a⁷(2)⁵=0

576a⁹-576a⁷=0

a²=1

a=±1

Thus, after factorizing the expression 72a⁹b³-18a⁷b⁵completely we get the value of a and b will be ±1 and ±2.

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The equation [tex]y =\frac{x}{c} *\frac{x}{c} *x[/tex] represents a non- linear function.

How is the function of the equation determined?

[tex]y =\frac{x}{c} *\frac{x}{c} *x\\\\y = \frac{x^{3}}{c^{2} }[/tex]

This equation does not make a straight line in a graph. So, the equation represents a non-linear function.(Refer figure for graph)

What is a non-linear function?

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Answer:

[tex]\frac{3}{8}*\frac{7}{9}=\frac{7}{24}[/tex]

Step-by-step explanation:

Solution with Steps

[tex]\frac{3}{8}*\frac{7}{9}=?[/tex]

For fraction multiplication, multiply the numerators and then multiply the denominators to get

[tex]\frac{3*7}{8*9}=\frac{21}{72}[/tex]

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 72 using GCF(21,72) = 3

[tex]\frac{21/3}{72/3} =\frac{7}{24}[/tex]

Therefore:

[tex]\frac{3}{8}*\frac{7}{9}=\frac{7}{24}[/tex]

The inequality we want to find is:

$40 + $0.08*x ≤  $170

Where x is the number of miles Justin can drive, and the solution is:

x ≤ 1,625

We know that there is a fixed cost of $40 plus $0.08 for every mile driven. So if you rent the car and drive for x miles, the total cost is:

C(x) = $40 + $0.08*x

We know that Justin has at most $170 to spend, so we can write the inequality:

$40 + $0.08*x ≤  $170

Solving this for x, we get:

$0.08*x ≤  $170  - $40

$0.08*x ≤  $130

x ≤  $170 /$0.08  

x ≤ 1,625

So Justin can drive at most 1625 miles with the money he has.

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Answer:

Inequality: 40x+10≤170

Answer: x 4x≤4

Step-by-step explanation:

trust me

Answer:

A and D

Step-by-step explanation:

hope this helps

The correct description of the graph of the inequality is:

"number line with open circle on point negative 2.2 and arrow shaded to the left"

Here we have the inequality:

p - 3.6 < -5.8

First, we need to solve this, to do so we need to isolate the variable p in one of the sides of the inequality, we will get:

p < - 5.8 + 3.6

p < -2.2

So p is strictly smaller than -2.2, then we will have an open circle at the number -2.2 and a line or arrow that extends to the left.

So the correct option is:

"number line with open circle on point negative 2.2 and arrow shaded to the left"

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Given: The equation of a line below

To Determine: The slope and the y intercept

Solution

The general form of slope-intercept form of a line is given as

Let us re-write the given equation in slope-intercept form

Let us compare the derived given equation to the general form

The graph is as shown below

Hence, the slope is 2 and the y intercept is -8

Answer:

4 1/2

Step-by-step explanation: First: Pls just trust <333 and Goodluck!! <3

ANSWER:all real numbers less than or equal to 0.

Explanation:

When you reflect a function across the x-axis, you negate every y-coordinate in the function.

In our original function, our y-values will all be positive. Reflecting this across the x-axis will make all of the y-values negative; this means the range, or set of y-values, will be less than or equal to 0.

The cups of popcorn that the boys eat in all is 5 1/4 cups.

From the information, Toby, Tyler, and Tim got hungry and decided to share a bag of popcorn and each boy ate 1 3/4 cups of popcorn.

It should be noted that the total popcorn and hat was eaten will be:

= Fraction eaten by each person × Number of people

= 1 3/4 × 3

= 7/4 × 3

= 21/4

= 5 1/4

This illustrates the concept of multiplication of fractions.

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 m = 1/4  is the slope of the line .

What is slope in plain English?

The slope of a line passing through points ( x₁ , y₁ ) ( x₂ , y₂ )  is defined as

   m = y₂ - y₁/x₂ - x₁

if the x coordinates are not equal. The slope is not defined if the x

coordinates are equal because that would require dividing by zero.

here ,

      ( x₁ , y₁ ) = (0, 5)

      ( x₂ , y₂ ) = ( -12 , 2 )

   m = y₂ - y₁/x₂ - x₁

    m =  2 - 5/-12 - 0

   m = -3/-12

  m = 1/4

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The graph represents the inequality:

The reason we used strictly less than (<) is that the circle is not shaded. Therefore, the correct inequality has to be either the first or last.

We will simplify the inequalities to see which one is equivalent.

First Inequality:

Expanding the brackets using the distributive property, we have:

Subtracting 20x from both sides, we have:

This is not the inequality.

Last Inequality:

Subtract 5x from both sides:

Subtract 10 from both sides:

Divide both sides by -2. Dividing by a negative number will reverse the sign:

Hence, this is the inequality.

ANSWER: The correct inequality is

The probability that the box contains exactly one defective motor.

P(X=1)=0.5225

This is further explained below.

Generally, This follows a Poisson distribution and will be solved using:

[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]

Where

u = Expected number of occurrences, and it is calculated as:

u=n p

u=60 * 4%

u=60 * 0.04

u=2.4

In conclusion,

[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]

Therefore

[tex]P(X=1)=\frac{e^{-2.4} 2.4^2}{2 !}[/tex]

P(X=1)=0.5225

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Answer:

5

028x ·[tex]\frac{1}{5}[/tex]

Considering the angle relations when two parallel lines are cut by a transversal, the measures of the angles are given as follows:

18. <4 = 56º.

19. <3 = 132º.

20. <2 = 55º.

21. <8 = 120º.

22. <6 = 129.5º.

23. <2 = 61.3º.

When two parallel lines are cut by a transversal, there are multiple relations among the angles, which are going to be used to solve this question.

In item 18, the angles 1 and 4 are consecutive interior angles, hence they are supplementary angles, meaning that the measure of angle 4 is found as follows:

<4 + <1 = 180º

<4 + 124º = 180º

<4 = 56º.

In item 19, angles 2 and 3 are also consecutive interior angles, hence:

<2 + <3 = 180º

48º + <3 = 180º

<3 = 132º.

For item 20, angles 2 and 4 are alternate interior angles, hence they are congruent and their measures are given by:

<2 = <4 = <55º.

For item 21, angles 6 and 8 are alternate exterior angles, also being congruent, hence their measures are given as follows:

<6 = <8 = 120º.

For item 22, angles 7 and 6 are same side exterior angles, meaning that they are supplementary, hence:

<6 + <7 = 180º

<6 + 50.5º = 180º

<6 = 129.5º.

For item 23, the relation is the same as item 19, hence:

<3 + <2 = 180º

<2 = 180 - 118.7

<2 = 61.3º.

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Mathematically we write this as:

=362+(302×q)

The expression is 362+302q

Goodluck.

Answer:true

Step-by-step explanation:

The value of the quantity after 420 minutes is 1.739

How to calculate the amount of the quantity?

In mathematics, the amount of the quantity can be measured with the help of the exponential function by using its standard equation. But the measured quantity should grow continuously.

According to the question, the growth of the quantity is growing continuously which illustrate the exponential function.

The given parameters are:

Initial value, a = 200;  Rate, r = 55%

An exponential growth function is represented as:

y = a(1 + r)^x

Substitute the value in the equation

y = 200(1 + 55%)^x

After 1.55 minutes, x = 7 * 60

So, we have:

y = 200(1 + 55%)^(7 * 60)

Evaluate the expression

y = 1.739

Hence, the value of the quantity after 420 minutes is 1.739

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