**Given:**

a. H0: µ = 0

b. H0: µ ≥ 0

c. H0: µ ≤ 0

d. H0: µ

**Required:**

To choose the hypotheses that is not valid.

**Explanation:**

The null hypothesis: It is a statement of no difference between sample means or proportions or no difference between a sample mean or proportion and a population mean or proportion. In other words, the difference equals 0.

Here the option d is not valid.

**Final Answer:**

The option d is not valid.

H0: µ < 0

however, she is not quite sure where to start. Using complete sentences, describe to Erika how to solve this equation

Explanation:

For the given equation

[tex]50^x=17[/tex]For Erika to resolve the question

Step 1: We will take the logarithm of both sides

[tex]\log (50^x)=\log (17)[/tex]Step 2: Simplify the expression

Thus

[tex]x\log 50=\log 17[/tex]Step 3: Solve for x

[tex]x=\frac{\log 17}{\log 50}[/tex][tex]x=0.724[/tex]Where ya got 12 from ?

**Answer:**

12 is the number that comes after 11 and before 13. 12 represents the number between 11 and 13. 12 is a composite number.

**Step-by-step explanation:**

12 is the number that comes after 11 and before 13.

*1**2** **represents **the **number **between **1**1** **and **1**3**.** **1**2** **is **a **composite **number.*

Are the triangles congruent using AAS?

True

False

no, theyre not! false.

it would be SAS.

it would be SAS.

Identify the segments that are skew to line EF. There are four answers.

The lines that are not intersecting and perpendicular to each other, are not parallel to each other, and are not coplanar are called skew lines.

The four **lines** that are **skew** to line EF are AB, GB, CH, and DC.

The lines that are not intersecting and perpendicular to each other, are not parallel to each other, and are not coplanar are called skew lines.

We have,

A **line** EF on the given square **figure**.

We have the following **lines** on the given figure.

DG, CB, HA, FA, FG, GB, AB, EH, ED, DC,CH,

We see that,

FG, FA, EH, and ED are **perpendicular** and **intersecting** to line EF.

DG, CB, and HA are **parallel** to line EF.

So the remaining lines will be **skew** to **line** EF

i.e AB, GB, CH, and DC

Thus,

The four **lines** that are **skew** to line EF are AB, GB, CH, and DC.

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A parking garage charges a flat fee of $3 to enter the garage and then an additional hourly

charge to park. The cost to park in the garage can be modeled by the equation: P = 3+c.h

where c is the hourly rate to park and h is the number of hours parked in the garage.

a) Write an equation to find the number of hours a person parked if we know P and c.

b) If c=$2.25, find P if the person parks for 6 hours.

c) If P=$25.50, find how many hours the person parked if the cost per hour is $2.25.

If the **cost to park in garage** can be modeled by the equation P = 3+ch

Part A

The equation to find the **number of hours **a person parked h = (P-3) / c

Part B

If c = $2.25 and number of hours h =6 hours, then the cost to park in garage is $16.5

Part C

If P = $25.50, the person parked 10 hours if the **cost per hour** is $2.25

The flat fee of parking = $3

The cost to park in garage can be modeled by the** equation**

P = 3+ch

Where c is the **hourly rate to park**

h is the number of hours parked in the garage

**Part A**

The equation to find the number of hours a person parked is

P = 3+ch

c × h = P-3

h = (P-3) / c

**Part B**

c = $2.25

h = 6 hours

P = 3 + 2.25×6

= 3 + 13.5

= $16.5

**Part C**

P = $25.50

c = 2.25

h = (P-3)/c

= (25.50-3)/2.25

= 10 hours

Hence, if the cost to park in garage can be modeled by the equation P = 3+ch

Part A

The equation to find the number of hours a person parked h = (P-3) / c

Part B

If c = $2.25 and number of hours h =6 hours, then the cost to park in garage is $16.5

Part C

If P = $25.50, the person parked 10 hours if the cost per hour is $2.25

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What does it mean by non collinear points and another name for angle ABD?

a) Point = could be any point A to D = for example A

b) Line : AD

Could be any line named by the endpoints.

c) Segment: Fragment of a line

AB

d) Ray: part of a line that has a fixed star but no end:

BE

e) Angle : Could be any angle, the middle letter is where the angle rests.

f) 3 collinear points: A,B,C

3 points that are in the same line

g)Opposite rays: same end point but opposite directions

BE and BC

h) Plane: infinite set of points forming a connected flat surface.

ABDC

i) 3 non collinear points: AEC

Three points that aren't on the same line

j) another name for m

BE is the diameter of circle A. What's the measure of ∠BCE?Question 12 options:1) 90°2) 88°3) 180°4) 93°

Since BCE is an inscribed angle, it measures half the measure of the inscribed arc.

Angle BCE inscribes the arc BE of 180°, we have:

[tex]\begin{gathered} \text{BCE}=\frac{BE}{2} \\ BCE=\frac{180}{2} \\ \text{BCE}=90\degree \end{gathered}[/tex]Therefore **the correct option is 1)**

(x ^ 2 + 11x + 18) / (x + 3) =

**Answer:**

x+8 - 6/x+3

**Step-by-step explanation:**

In AUVW, UW is extended through point W to point X, mZUVW = (3x + 16)°, mZWUV = (2x + 8), and mZVWX= (8x - 18). Find mZWUV.

Let's draw the figure to better understand the problem.

7. Select all the equations that have the same solution as 3x - 6 = 18.

a. 3x = 12

b. 3x = 24

f.

c. 3(x - 2) = 18

d. 6x 12 = 36

e. 3x 12 = 36

18 = 5 - 3x

The equation which satisfied the given expression after **simplification **are (a) 3x = 24 and (c) 3(x - 2) = 18.

**How simplification method work?**

In mathematics, the **simplification **method is used for the equation formation for the problem statements. And it also convert the complicated expression into simpler one to make the calculation easy.

According to the question, the given equation can be simplified by using **simplification **method and it is written below:

The given equation is: 3x - 6 = 18

3x = 18 + 6 = 24 ⇒ 3x = 24

Similarly, 3x - 6 = 18

3(x - 2) = 18

Hence, the equation which satisfied the given expression after **simplification **are (a) 3x = 24 and (c) 3(x - 2) = 18.

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can you help please this is really important

The** value of x is 10 **and the length of** SU is 50.**

Here SU is the line and **T is the mid-point** of the line

So from this we have

SU = ST + TU

**ST = TU**

SU = 2ST = 2TU

ST = 3x - 5 and TU = 2x + 5

As ST = TU

3x - 5 = 2x + 5

x = 10

SU = 2ST

= 2( 3x - 5)

= 2( 3 × 10 - 5)

= 2( 30 - 5)

= 2× 25

= 50

Therefore the value of** x is 10** and the length of **SU is 50.**

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Identify the domain and range of the function. y=x−−√−1

The **domain** of the function is **[1, ∞)** and the** range **of the function is **[0,∞).**

**Domain and range:**

The domain and range of a function are refers the set of all the** inputs **and **outputs **a function can give respectively.

Basically, domain takes all the possible** input values** from the set of real numbers whereas the range takes all the **output values** of the function.

Given,

Here we have the function

y = √x - 1

Now, here we need to find the domain and range of the function.

The given function is rewritten as,

√x - 1 > 0

Square both sides then we get,

x - 1 > 0

Add 1 on both sides then we get,

x > 1

Therefore, the domain is [1, ∞).

Similarly, let us consider, y ≥ 0

Therefore, the range is [0,∞).

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Divide 6.1 x 10^20 by 3.2 x 10^5. Express your answer in scientific notation.

PLEASE HELP!!!!

The **division** of the two numbers in **scientific notation** is equal to 1.91*10^15

To solve this problem, we have to divide the two numbers in** scientific notation** and to do this, we can simply apply division l**aw of indices **here;

We can first divide 6.1 by 3.2.

This will give us 1.90625 which is approximately 1.91.

Then applying the law of indices and subtract the power from one another. This becomes 20 - 5 = 15

The final value will be 1.91 * 10^15

The **division **of 6.1*10^20 by 3.2*10^5 is equal 1.91 *10^15

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Let f(x) = 9x - 8. Find (f o f)(1).

Let f(x) = 9x - 8. Find (f o f)(1).

we know that

(f o f)(1).=f(f(1))

step 1

find f(1)

f(1)=9(1)-8

f(1)=1

substitute

f(f(1))=f(1)=1

therefore

the answer is 1

What are the dimensions, a, b, and c, of the net? 13 cm a = v cm b= cm cm 12 cm 15 cm 6 5 cm a с

Looking at the diagram of the triangular prism and its net, we can see that

**a = width of the base = 5 cm**

**b = the slant height = 13 cm**

**c = length of the base = 15 cm**

Question #36 Multiple-Choice Reduce -2 + b2 by 7 + b2. C5 0 2b2-7 C9

**Answer:**

**Step-by-step explanation:**

Reduce the following expressions:

[tex]-2+b^2-(7+b^2)[/tex]Operate like terms:

[tex]-2+b^2-7-b^2=-9[/tex]You have one box that is 2 and 5 11 feet tall and a second box that is 2.45 feet tall. Write the decimal expansion for 2 and 5 11. If you stack the boxes, about how tall will the stack be

You have one box that is 2 and 5/11

feet tall and a second box that is 2.45 feet tall. Write the decimal expansion for

2 and 5/11. If you stack the boxes, about how tall will the stack be

we have that

[tex]2\frac{5}{11}=2+\frac{5}{11}=\frac{22+5}{11}=\frac{27}{11}=2.454545\ldots[/tex]If you stack the boxes,

we have

2.45+2.45=4.90 ft

ANSWER ONLY A-Ca. what is the students speed from the 3rd to 5th minute?b. at what times during the bike ride did the student come to a stop?c. During what time intervals did the students speed increase?

**SOLUTION:**

**Case:** Distance time graph

**Method:**

**a)** the students speed from the 3rd to 5th minute

**b)** the times during the bike ride did the student come to a stop

d and h

**8 minutes and 23 minutes**

**c) **the students speed increase during.

**b to c. 1 and 3 minutes**

**e to f. 11 and 15 minutes**

**f to g. 15 and 17 minutes**

Use the drawing tool(s) to form the correct answer on the provided graph.The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.g(x) = -1/2f(x + 2)

**Given:**

The graph of the function f is given and the function g is as:

[tex]g(x)=-\frac{1}{2}f(x+2)[/tex]**Required:**

To graph the function g.

**Explanation:**

The graph of the function f(x+2), shift the graph f(x) left 2 units by subtracting 2 from the x-coordinates of the points on the graph of f.

The graph of the function

[tex]\frac{1}{2}f(x+2)[/tex]here

[tex]a=\frac{1}{2}[/tex]So the graph of g has undergone a vertical shrinking by a factor of

[tex]\frac{1}{2}[/tex]The graph of the function

[tex]g(x)=-\frac{1}{2}f(x+2)[/tex]reflect the graph of

[tex]\frac{1}{2}f(x+2)[/tex]across the x-axis by multiplying the y coordinate of the points on the graph of

[tex]\frac{1}{2}f(x+2)[/tex]by -1.

Thus the graph of the function

[tex]g(x)=-\frac{1}{2}f(x+2)[/tex]is as:

**Final Answer:**

The graph of the function g is attached in the explanation part.

At 30 mph a trip from Town A to Town B takes 6 hours. If the speed were doubled, how many hours would the trip take?

[tex]\begin{gathered} \text{distance betw}en\text{ town A and town B= 30}\times6=180 \\ \text{new sp}eed=30\times2=60 \\ \text{new time=}\frac{\text{180}}{60}=3\text{hrs} \end{gathered}[/tex]

The **time **taken by Town A to **Town **B will be 3 hours.

Speed is **defined **as the ratio of the time **distance **traveled by the body to the time taken by the **body **to cover the **distance**. Speed is the ratio of the distance traveled by time. The unit of **speed **in miles per hour.

Given that at 30 mph a **trip **from Town A to Town B **takes **6 hours.

The **time **taken will be **calculated **as,

Total distance = 30 x 6 = 180 meters

Speed = 30 x 2 = 60 mph

The time,

T = 180 / 60= 3 hours

Therefore, the **time **taken by Town A to **Town **B will be 3 hours.

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Figures 1 and 2 are shown in the coordinate grid. Which is a true statement?

As per given by the question,

There are given two figure on coordinate grid, figures 1 and 2.

Now,

From concept of similar figure:

Similar figure means, that have the same shape and exactly the same in every way, on the other hand;

The similar figure means they are same shape but not the same size, then these figure is also called similar figure.

Now,

From concept of the congruent figure:

The congruent means, that two figure exactly the same that means, we can say that they are congruent, when both figure have same shape and same size.

So,

According to both concept, similar and congruent;

The given figure 1 and 2 is simililar, because of same shape. But due to different size, both figure have not congruent.

So, the given figures 1 and 2 is similar, but not congruent.

Hence, the option **first** is correct.

Rodger biked 30 miles in 2 hours. Write this rate as a unit rate.

Rodger biked 30 miles in 2 hours. Write this rate as a unit rate.

__________________________________

30 miles / 2 hours = 15 miles/hour

_________________________________________

**Answer**

**15 miles/hour **

A print shop borrows $4200 from a credit union for 178 days. The credit union charges simple interest at an annual rate of 6.5% for this loan. Assume each day is 1/365 of a year.

round your final answers to the nearest cent.

A) Find the interest that will be owed after 178 days.

B) Assuming the print shop doesn't make any payments, find the amount owed after 178 days.

Using **percentages**, the answer to both the subparts are:

So, since the interest is annual 6.5%:

(A) Interest that will be owed after 178 days:

Interest/2 ⇒ 6.5/2 ⇒ 3.25%Now, 3.25% of 4200:

4200/100 × 3.25 = 136.5$4,336.5(B) Interest after 178 days if sop doesn't repay:

Interest ⇒ 6.5%Now, 6.5% of 4200:

4200/100 × 6.5 = 273$4,473Therefore, using **percentages**, the answer to both the subparts are:

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Jordan wants to use the Starz princess hall, the Dynamic DJ's as his music And Roscoe's for his equipment. If Jordan has a total of $800 and wants the music to play for 4 hours, how many people can Jordan party?

The** number of people** that can attend **Jordan's party** is 50 people.

Th**e equation **that represents the total amount that would be spent at the party would be a** linear equation**. A **linear equation** increases at a constant rate.

The form of the **linear equation **would be:

Total amount = rental fee + (charge per hour of the** Dynamic DJ **x number of hours he plays) + (cost per person of** Roscoe's rentals **x number of people)

$800 = $400 + ($50 x 4) + ($4 x p)

$800 = $400 + $200 + $4p

$800 = $600 + $4p

$800 - $600 = $4p

$200 = $4p

p = $200 / $4

p = 50 people

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what is the value of f(x)=2(0.75)^x when x=3

Answer: f(3) = 0.84375

Step-by-step explanation:

f(3) is asking for the value of the function when x = 3, not multiplying f by 3. (f(x) is basically the output, y)

So we just plug in 3 for x and simplify (use PEMDAS)

f(3) = 2(0.75)^3

f(3) = 2(0.421875)

f(3) = 0.84375

**Answer:**

[tex]\frac{27}{32}[/tex]

**Step-by-step explanation:**

It may be a bit easier to represent 0.75 as a fraction, since we can use the following property of exponents: [tex](\frac{a}{b})^x = \frac{a^x}{b^x}[/tex]

We can represent 0.75 as: [tex]\frac{3}{4}[/tex]

And substituting this into the function we get: [tex]f(x)=2(\frac{3}{4})^x[/tex]

calculating the value when x=3, we get: [tex]f(3)=2(\frac{3}{4})^3[/tex]

using the property previously stated we get: [tex]f(3)=2(\frac{3^3}{4^3})[/tex]

Raising each value to the exponent we get: [tex]f(3)=2(\frac{27}{64})[/tex]

When we multiply by two, we can simplify by splitting up 64, into two factors: 2 and 32, to get: [tex]\frac{2*27}{32*2}[/tex]

From here it's easy to see that we can cancel out the values 2, to get: [tex]\frac{27}{32}[/tex]

Which is our answer!

The length of the smaller rectangle is 12 inches and the width is x inches. The length of the larger rectangle is 20 inches and the width is 15 inches. What is the area of the smaller rectangle?

The **area** of the smaller** rectangle** is 108 inches².

The **area **of a** rectangle** is calculated to determine the area occupied by the rectangle within its boundary. A rectangle's area (A) is the product of its **length** 'a' and **width** or **breadth** 'b'. As a result, the Area of the Rectangle = (a × b) **square units.**

Given the dimensions of the smaller rectangle:

Length = 12 inches

Width = x inches

Given the dimensions of the larger rectangle:

Length = 20 inches

Width = 15 inches

To find the value of x we use proportion,

[tex]\frac{12}{x} = \frac{20}{15}[/tex]

Cross-multiplying, we get

12 × 15 = 20x

x = 180/20 = 9

Hence, the **width** of the smaller rectangle is 9 **inches.**

Area of the smaller rectangle = length × width

= 12 × 9

= 108 inches²

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PLEASE HELP WILL MARK BRANLIEST!!!

What is the equation of a line that is parallel to y = x + 2 and passes through the point (5,7)?

Enter your answer with no spaces.

**Answer:**

See below

**Step-by-step explanation:**

Slope of given line is 1 y = (1) x + 2

parallel line has same slope

so it will start to look like this y = (1) x + b

sub in the point 5,7 to find b = 2

final answer y=x+2

(b) Use the function to predict the average price per square foot in 2032 .

**Answer:**

1187.49

**Step-by-step explanation:**

[tex]P(40)=0.023(40)^3-0.289(40)^2+3.068(40)+55.170=1187.49[/tex]

differentiate y = (x²-7x)^5 (3x^5-5x)

The given expression is

y = (x²-7x)^5 (3x^5-5x)

To differentiate, we would apply the product rule which is expressed as

(fg)' = f'g + fg'

Let f = (x²-7x)^5 and g = (3x^5-5x)

f' = 5(2x - 7)(x²-7x)^4

g' = 15x^4 - 5

By applying the product rule, it becomes

**y' = 5(2x - 7)(3x^5-5x)(x²-7x)^4 + (15x^4 - 5)(x²-7x)^5 **

The admission fee to an amusement park is $18. It costs an additional "c" dollars to rent a locker to hold your belongings. The total cost for 9 people to

enter the amusement park and each rent a locker is $252. How much does it cost for one person to rent a

It cost $10 to rent a locker

18 x 9=162

252-162=90

90 divided by 9 is 10

18 x 9=162

252-162=90

90 divided by 9 is 10

Rewrite the following numbers as rational numbers in the form of p/q (where P and Q are integers and QO) in there lowest terms:a). 0.75b). 0.12c). 0.80d).1.25
If taxable income is over-- But not over-- The tax is:$0 $7,825 10 percent of the amount over $0$7,825 $31,850 $782.50 plus 15 percent of the amount over 7,825$31,850 $77,100 $4,386.25 plus 25 percent of the amount over 31,850$77,100 $160,850 $15,698.75 plus 28 percent of the amount over 77,100$160,850 $349,700 $39,148.75 plus 33 percent of the amount over 160,850$349,700 no limit $101,469.25 plus 35 percent of the amount over 349,700Use this tax table to find how much tax you need to pay on a taxable income of $25,000. A. $2,576.25 B. $3,358.75 C. $5,934.25
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