how much was the second one?

On an architect's blueprint, 1 inch corresponds to 2 feet. Find the length of a wall represented by a line 2 1/2 inches long on the blueprint

Length=5 inches ; 2.5•2= 5

Siobhan earned $45 babysitting on Friday. On Saturday, she babysat for 5 hours at $4 per hour. On Sunday she bought a DVD for $32. How

much money did she have left after buying the DVD?

$30

Work: 45+20=65

65-35=30

Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correctly describes the percent

change from last year to this year?

A

An increase of 10%

B

A decrease of 10%

С

An increase of 20%

D

A decrease of 20%

**Answer:**

C. An increase of 20%

**Step-by-step explanation:**

50/100 = 60/x

Cross products

50 x = 6000

Divide 50 by both sides

x = 120

60 is 120% of 50, so there is a 20% increase

Hope this helps!

-Jerc

If f(x) and its inverse function, f'(x), are both plotted on the same coordinate plane, what is their point of

intersection?

**Answer:**

The plot coordinates are (3,3).

**Step-by-step explanation:**

Given:

A function f(x) and its inverse is f-1(x)

To find :

The plot of the coordinates for the intersection.

Solution:

Now we know that inverse function is changing the y=f(x) and then

changing to x to y and y to x

So given function is f(x)

Inverse function is y,

But value of inverse function is f-1(x)

So y=f(x)=f-1(x)

Therefore it becomes

y=x

Hence the value is y=x coordinates

oliver runs a mile in 6 minutes. he left his house and ran 2 miles north, 3 miles east, then run back to his house. what was the total distance of olivers run

**Answer:**

10 miles

**Step-by-step explanation:**

You add 2+3+2+3 which equals 10. The information about him running a mile in 6 minutes is completely irrelevant, they did that to confuse you.

Maria makes money

by commission rates.

She gets 15% of

everything she sells. If

Maria sold $23,000

worth of items this

month, what is her

salary for the month?

Show your work on

the slide!

**Answer:**

Monthly salary = $3450

**Step-by-step explanation:**

In this problem, it is given that, Maria gets 15% of everything she sells. If Maria sold $23,000 worth of items this month, we need to find her salary for the month.

**It means we need to find the 15% of $23,000 to find her salary. Let the salary be x.**

ATQ,

[tex]x=15\%\ \text{of}\ 23000\\\\x=\dfrac{15}{100}\times 23000\\\\x=\$3450[/tex]

**Hence, her salary for the month is $3450.**

**Salary** of **Maria **for the **month** is $3,450

**Given that;**

**Amount** of item sold by **Maria** = $23,000

**Percentage** of **commission** = 15%

**Find:**

**Salary** of Maria for the **month**

**Computation:**

**Salary** of Maria for the **month** = **Amount** of item **sold** by Maria × **Percentage **of commission

Salary of **Maria** for the month = $23,000 × 15%

**Salary** of Maria for the **month** = $3,450

**Learn more:**

https://brainly.com/question/19193145?referrer=searchResults

pls help meeeeeeeeeeee!!

**Answer:**

45 with a remainder of 27.

**Step-by-step explanation:**

Hope this helps you! Good luck! <3

A box contains three types of fruits:

apples, bananas, and pears. There are

20 pieces of fruit in all. Of these, 3 are

apples and 11 are bananas. What is the

ratio of pears to bananas?

A 6: 11

B 11 : 6

C 3:11

D 11:3

A.

11+3 then minus 20

11+3 then minus 20

**Answer:**

A

**Step-by-step explanation:**

Charlie has 468 onions to sell. He puts 12 onions in each bag, and he sells the bags for $8 each. What is the answer?

**Answer:**

312 $

**Step-by-step explanation:**

468 / 12 = 39 bags

8 x 39 = 312 $

so the answer is 312$

Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on

her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,

0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the

first light is red, and let R2 denote the event that the second light is red.

a) Determine the probability that at least one light will be red. (Show how you calculate this.)

b) Determine the conditional probability that the second light will be red given that the first light is

red. (Show how you calculate this.)

c) Are the events R1 and R2 independent? Justify your answer numerically.

d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.

**Answer:**

Explained below.

**Step-by-step explanation:**

The information provided is,

P (R₁) = 0.35

P (R₂) = 0.45

P (R₁ ∩ R₂) = 0.20

(**a**)

Compute the probability that at least one light will be red as follows:

P (at least one light will be red) = P (R₁ ∪ R₂)

= P (R₁) + P (R₂) - P (R₁ ∩ R₂)

= 0.35 + 0.45 - 0.20

= 0.60

Thus, the probability that at least one light will be red is **0.60**.

(**b**)

Compute the conditional probability that the second light will be red given that the first light is red as follows:

[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]

[tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]

Thus, the conditional probability that the second light will be red given that the first light is red is **0.57**.

(**c**)

If two events, say A and B are independent then:

P (A|B) = P (A).

The value of P (R₂ | R₁) = 0.57.

And the value of P (R₂) = 0.45

P (R₂ | R₁) ≠ P (R₂)

Thus, the events R₁ and R₂ are **not independent**.

(**d**)

If two events, say A and B are mutually exclusive then:

P (A ∩ B) = 0

The value of P (R₁ ∩ R₂) = 0.20.

Thus, the events R₁ and R₂ are **not mutually exclusive**.

Simplify the following expression.

5.3x − 8.14 + 3.6x + 9.8

A.

-2.84x − 1.66

B.

8.9x + 17.94

C.

-2.84x + 17.94

D.

8.9x + 1.66

**Answer:**

D

**Step-by-step explanation:**

5.3x − 8.14 + 3.6x + 9.8

group the numbers on one side and the x's on the other

5.3x + 3.6x - 8.14 + 9.8

solve

8.9x + 1.66

Find the value of X.

**Answer:**

x = 59

**Step-by-step explanation:**

34 + x - 30 + 5x + 2 = 360

34 - 30 + 2 + x + 5x = 360

4 + 2 + 6x = 360

6 + 6x = 360

6x = 354

x = 59

Hope this helped!

HELP ME PLSSS SOMEONE HELPP ILL GIVE BRAINLIEST

tom sold 3 cars ( a total value of $112,500) in the month of january. it is paid only by commission for its seller. he receives a commission of 7%. what is tom’s salary for the month of january?

**Answer:**

** First multiply 112,500 times 3 (because of the 3 cars) answer should be $337,500**

**Then do the percentage (7%) $23,625**

**I believe that 23625 is the answerrr**

A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s new elevation relative to sea level?

I think the answer is -51

|2x+5|-4=16 find both answers

**Answer:**

x=7.5 and x=-12.5

**Step-by-step explanation:**

|2x+5|-4=16

|2x+5|=20

2x+5=20

2x=15

x=7.5

2x+5=-20

2x=-25

x=-12.5

The graph of a quadratic function with vertex (3,2) is shown in the figure below.

Find the domain and the range.

**Answer:**

Domain=All Real Numbers Range=y>2

**Step-by-step explanation:**

**Since the graph expands infinitely across the x axis it is all real numbers**

**Since the Y covers all the numbers above 2 it is y>2**

In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 714 grams of copper. How many grams of zinc does it contain?

It contains

grams of zinc

Answer:

z= 168

Step-by-step explanation:

proportion zinc to copper = 4/17

4/17 = z/ 714

17 • z = 4 • 714

17 • z = 2856

z= 2856/17

z = 168

**Answer:**

60

**Step-by-step explanation:**

A regional office of the Internal Revenue Service randomly distributes returns to be audited to the pool of auditors. Over the thousands of returns audited last year, the average amount of extra taxes collected was $356 per audited return. One of the auditors, Jeffrey Jones, is suspected of being too lenient with persons whose returns are being audited. For a simple random sample of 30 of the returns audited by Mr. Jones last year, an average of $340 in extra taxes was collected.

Required:

Assuming a normal population of extra taxes collected with a standard deviation of $90, do the suspicions against Mr. Jones appear to be justified?

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified

Step-by-step explanation:

From the question we are told that

The population mean is [tex]\mu = \$ 356[/tex]

The sample size is n = 30

The sample mean is [tex]\= x = \$340[/tex]

The standard deviation is [tex]\sigma = \$ 90[/tex]

The null hypothesis is [tex]H_o : \mu = \$ 35 6[/tex]

The alternative hypothesis is [tex]H_a : \mu \ne \$ 35 6[/tex]

Let assume the significance level is [tex]\alpha = 0.05[/tex]

Generally the test statistic is mathematically represented as

[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=> [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]

=> [tex]t =-0.9737 [/tex]

Generally the sample size from the question is small that it is not greater than 30 hence we use t-test

Now the degree of freedom is mathematically represented as

[tex]df = n- 1[/tex]

=> [tex]df = 30- 1[/tex]

=> [tex]df= 29[/tex]

Generally the p-value is mathematically represented as

[tex]p-value = 2 P (t > -0.9737 )[/tex]

Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of [tex]df= 29[/tex] for a two -tailed test is

[tex]P (t > -0.9737 ) = 0.33825793[/tex]

Hence p-value is

[tex]p-value = 2*0.33825793[/tex]

[tex]p-value = 0.676 [/tex]

From the value we obtained we see that [tex]p-value > \alpha[/tex] hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified

A person with a height of 2 meters stand near a tree. The tree casts a shadow that is 30 meters long and the person has a shadow that is 3

meters long. What is the height of tree

9514 1404 393

**Answer:**

20 m

**Step-by-step explanation:**

The 30 m shadow of the tree is 10 times the 3 m length of the person's shadow. We expect the tree to be 10 times as tall as the person:

10(2 m) = **20 m . . . height of the tree**

What is equal to d? I’m sorry but I need help.

answer: -9/13

(picture below shows how to solve it)

(picture below shows how to solve it)

Dean walked from the library to the mall. For the

first 12 minutes, he walked at a speed of 80

m/min, but then he slowed his speed to 68

m/min for next 7 minutes. If he was still 130 m

away from the mall, what was the distance

between the library and the mall?

905 mph because of the 7 minutes

Stacy has 6 fewer than half as many marbles as Mallory .If Stacy has thirty marbles how many does Mallory have

**Answer:**

72

**Step-by-step explanation:**

Stacy has 30 marbles

Let m= the number of marbles that mallory has

stacy has 1/2 m -6

30 = 1/2 m -6

Add 6 to each side

30+6 = 1/2m

36 = 1/2m

Multiply each side by 2

72 = m

Mallory has 72 marbles

**Answer:**

72

**Step-by-step explanation:**

I'm cool and the guy above me stinko

In a study of the effect of aluminum intake on the mental development of infants, a group of 54infants who had been born prematurely were given a special aluminum depleted intravenous-feeding solution. At an adjusted age of 18 months,the neurologic development of the infants were measured using the Bayley Mental Development Index (BMDI), a unitless scale with higher scores indicating higher development. They had a sample mean BMDI of 97.4 and a sample standard deviation of 18.0.The (BMDI) is similar to an IQ score, with 100 being the average in the general population.

Assuming all relevant assumptions are met, carry out the appropriate testto determine if infants who receivedthealuminum depleted intravenous-feeding solution had a significantly differentaverage BMDI score thaninthe general population. Be sure to include all the stepsfor full credit.

Given:critical value= = 2.00

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

The no sufficient evidence to conclude that the average BMDI score is different from the general population

Step-by-step explanation:

From the question we are told that

The sample size is n = 54

The sample mean is [tex]\= x = 97.4[/tex]

The standard deviation is [tex]s = 18.0[/tex]

The population mean is [tex]\mu = 100[/tex]

The critical value is [tex]t_{critical } = 2.0[/tex]

Generally the test statistics is mathematically represented as

[tex]t = \frac{\= x - \mu}{\frac{s}{\sqrt{n} } }[/tex]

=> [tex]t = \frac{ 97.4 - 100}{\frac{ 18}{\sqrt{54} } }[/tex]

=> [tex]t =-1.062[/tex]

Comparing the obtained t statistics with the critical value we see that

The critical value is not within the region of rejection (i.e -1.062 to 1.062 )

Hence the decision rule is

Fail to reject the null hypothesis

The conclusion is

The no sufficient evidence to conclude that the average BMDI score is different from the general population

What is the measure of angle b?

**Answer:**

if those lines are parallel, then the *m*∠ = 92°

**Step-by-step explanation:**

The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines.

A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?

Can you please add a step by step

**Answer:**

4.8

**Step-by-step explanation:**

15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8

**Answer:**

4.8 meters

**Step-by-step explanation:**

I hope this helps!

(x+5) (x+4) give me the answers quick please

[tex] \red { \orange {\boxed {\boxed{Answers}}}}[/tex]

[tex] = (x + 5)(x + 4)[/tex]

[tex] = {x}^{2} + 4x + 5x + 20[/tex]

[tex] = {x}^{2} + 9x + 20[/tex]

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

**Answer:**

110d + 80 > 1620

d > 14

**Step-by-step explanation:**

The** amount of points from collecting diamonds can be represented by 110d,** since you get 110 points for each diamond, d

**Add 80 to this** to represent the bonus points.

Use a greater than inequality, because you have to get **more than 1620 points.**

**Put this all together:**

110d + 80 > 1620

**Then, solve for d:**

110d + 80 > 1620

110d > 1540

**d > 14**

So, you have to collect **more than 14 diamonds** in less than 2 minutes in order to advance to the next level.

the set

of whole number less than 20

**Answer:**

maybe 3, 6, 9, 12, 15, 18?

**Step-by-step explanation:**

sorry if this doesn't help but I hope someone else can help you! good luck

Whole numbers less than 20 are 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1. How to know if they are divisible by 3? Add the numbers, and if the sum is divisible by 3.

Round 34,138 to the nearest thousand??

**Answer:**

34,138 to the nearest thousand is 34,000!

**Step-by-step explanation:**

Hope this helps! Good luck! <3

**Answer:**

0

**Step-by-step explanation:**

Describe how to plot point A(-6, 2) on a coordinate plane.

**Answer:**

Read the explanation

**Step-by-step explanation:**

Go to desmos (website) and open the Graphic Calculator (or you can use any graphic calculator) . Then in one of the text boxes on the side write A(-6,2) and it'll plot it. Or make a paper graph (Make sure the lines are spaced out correctly) and go to -6 on the x axis and 2 on the y axis, the point in which those 2 intecept is the plotted dot. Or print a graph and plot it there, both work.

The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude?
How did Winston Churchill die?
Which organelle makes lipids?
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explain the rules of zaroff's game.
Nishi invests $3000 at 5% interest per year. Work out how much she will have altogether after:
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How much of the world's population is in Asia?O 1/5O 2/5O 3/5O 4/5
Jasmin's dog weighs 64 pounds . Her vet told her that a healthy weight for her dog would be less than or equal to 49 pounds . Jasmin's dog can lose an average of 4 pounds every week . Write the solution to an inequality that describes all possible number of weeks for which her dog can be at a healthy weight .
Who makes it, has no need of it.Who buys it, has no use for it.Who uses it can neither see nor feel it.What is it?
1119 divided by 4 and some random stuff cause it aint long enough
PLS HELP ILL MARK YOU BRAINEST DUE IN 20 MINSS
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please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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