The distribution of household incomes in a small town is strongly skewed to the right. The mean income is $42,000 and the standard deviation is $24,000. The Ames family’s household income is $60,000. The z-score for the Ames family’s income is

Answer:

[tex]Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\[/tex]

[tex]=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000[/tex]

Therefore original price = $580,000

Answer:

x = -8

Step-by-step explanation:

x + 6y = 16

→ Substitute in y = 4

x + 24 = 16

→ Minus 24 from both sides

x = -8

Answer:

Step-by-step explanation:

[tex]\sqrt{81}[/tex] is the rational number because it is the perfect square of 9.

Answer:

D. y = -4x - 6

Step-by-step explanation:

→ Work out gradient of line

[tex]\frac{2-6}{-2--3} =\frac{-4}{1} =-4[/tex]

→ Write into y = mx + c format

y = -4x + c

→ Substitute ( -2 , 2 ) into the equation to find c

2 = 8 + c

→ Minus 8 from both sides

-6 = c

→ Write full equation y = -4x - 6

Answer

x = 28

Explanation

3/8x + 15/2 = 18

Step 1. Subtract 15/2 from both sides

3/8x = 15/2 - 15/2 = 18 - 15/2

3/8x = 21/2

Step 2. Multiply both sides by 8/3

(8/3) * (3/8x) = (8/3) * (21/2)

Step 3. Answer

Therefore x is 28.

Answer:

36

Step-by-step explanation:

Counting the squares: base = 12, height = 9.

We will use pythagorean theorem to find the third side.

Let it be x.

So,

   [tex]x^2 = 12^2 + 9^2\\x^2 = 144 + 8 1 = 225\\x = 15[/tex]

Perimeter of triangle = sum lengths of all sides

                                = 12 + 9 + 15

                                = 36 units

Answer:

M and N

Step-by-step explanation:

Answer: 8 inches by 6 inches

Step-by-step explanation:

Answer:

6in

Step-by-step explanation:

Using the pythagerous thereom,

10^2 = 8^2 + b^2

b^2 = 10^2-8^2

b^2 = 100-64

b^2 = 36

b = 6

Feel free to mark this as brainliest :D

Answer:

6

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

?^2 + 8^2 = 10^2

?^2 +64 = 100

?^2 = 100-64

?^2 = 36

Take the square root of each side

? = sqrt(36)

?= 6

Answer:

164 Cm^3

Step-by-step explanation:

Solution

V=

3

3

2

a

2

h

=

3

3

2

3

2

7

≈

163.6788

Answer:

12A-12B

Step-by-step explanation:

In the parentheses, it is A-B. Using the distributive property you break up the parentheses then you have 12xA - 12xB. This is known as the "Santa Hat". The lines mean that you do each function to each constant, variable, or term.

Answer:

Hi there, the correct answer should be...

The mean age of the children is 5.

Step-by-step explanation:

mean:average

1 + 5 + 4 + 8 + 2 + 5 + 10 = 35

35 ÷ 7 = 5

Answer:

11/37

297/999

three 9's in the denominator because there are three repeating numbers.

then reduce the fraction. divide each by 27 so 11/37

Answer:

69°

Step-by-step explanation:

Vertical Angles theorem states that any two opposite angles formed by two intersecting lines are the same.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

;;6

Step-by-step explanation:

56 5

Answer:

0.35 each

Step-by-step explanation:

Answer:

they are (3,4)

Step-by-step explanation:

1. 4 to 7

2. 3 even : 1 odd

3. 6 vanilla to 8 chocolate

Answer:

The actual distance between the houses is 18.9 miles.

Step-by-step explanation:

The exact question is as follows :

Given - On a​ map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.

To find - What is the actual distance between the​ houses?

Solution -

Given that,

1 inch = 5.4 miles

⇒3.5 inches = 3.5 × 5.4 miles

                 = 18.9 miles

∴ we get

The actual distance between the houses is 18.9 miles.

Answer:

36 FEET

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

scale = 9 / 3 = 3

1  inch : 3 feet

Actual height = 12 x 3 = 36

Answer:

y = a8×2+b√105+c

hope helps you

have a nice day

Answer: $21,876

Step-by-step explanation:

There are 4 trucks being transported. Each of those trucks weigh 5,469 pounds.

The total weight of all four trucks would be:

= weight of one truck * number of trucks

= 5,469 * 4

= $21,876

Note: 1.8 = 9/5

===========================================================

Explanation:

This problem may be strangely worded, so I'll try to phrase it differently. That part will come in a later section below (specifically section 3).

For now, let's just find the probability of finding two white marbles if we replace the first marble chosen. We consider this a "replacement" situation.

We have 5 blue, 3 red and 2 white marbles. That means 5+3+2 = 10 total. The probability of picking white is 2/10 = 1/5. Since the first marble is replaced, the probability of picking white the second time is still 1/5.

The probability of picking two white marbles is (1/5)*(1/5) = 1/25 = 0.04 = 4%

---------------------------------

Now let's consider a "no replacement" situation. We won't put the marble back, or we won't replace it with an identical copy. After the first marble is picked, we have 10-1 = 9 marbles left and 2-1 = 1 white marble left.

The probability of getting white on the second selection, after no replacement is made, is 1/9 instead of 2/10 = 1/5

The probability of getting two white marbles in this scenario is (2/10)*(1/9) = (2*1)/(10*9) = 2/90 = 1/45 = 0.0222 = 2.22% approximately

We can see that there is a difference in probabilities between "replacement" and "no replacement" when we pick two white marbles like this.

---------------------------------

The fractional answer to the first section was 1/25. Let A = 1/25

The fractional answer to the second section was 1/45. Let B = 1/45

A and B are the probabilities for "replacement" vs "no replacement" in that order.

Your teacher wants to know how many times greater the value of A is compared to B.

In symbols, your teacher wants to know the value of k in the equation A = Bk

So...

A = Bk

1/25 = (1/45)k

1/25 = k/45

1*45 = 25*k

45 = 25k

25k = 45

k = 45/25

k = (9*5)/(5*5)

k = 9/5

k = 1.8

Either the fractional or decimal version of k would work as the answer. It might sound better if you go with the decimal version, though again, both values are equivalent.

The value of A is 1.8 times greater compared to the value of B.

Answer:

A. 7377 s

B. 5.72 m/s

C. 5.86 m/s

Step-by-step explanation:

A. Determination of the time in second.

Time (t) = 2 hours, 2 minutes and 57 seconds

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Next, we shall convert 2 mins to seconds. This can be obtained as follow:

1 min = 60 s

Therefore,

2 mins = 2 mins × 60 s / 1 min

2 mins = 120 s

Finally, we shall determine the total time in second. This can be obtained as follow:

2 hours, 2 minutes and 57 seconds = 7200 s + 120 s + 57 s

= 7377 s

Therefore, the total time in second is 7377 s

B. Determination of the average speed.

Total distance = 42195 m

Total time = 7377 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7377

Average speed = 5.72 m/s

Therefore, the average speed is 5.72 m/s

C. Determination of the average speed.

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Finally, we shall determine the average speed. This can be obtained as follow:

Total distance = 42195 m

Total time = 7200 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7200

Average speed = 5.86 m/s

Therefore, the average speed is 5.86 m/s.

Answer:

0.11

Step-by-step explanation:

The number is 0.10947. So, to round to the nearest hundredth you’d take the number behind the number in the hundreds place, 0, and if it’s 5 or higher that number would go up. Since the number behind 0 is 9 which is higher than 5 that 0 would become a 1. Giving you 0.11!

Hope this helps, good luck! :)

Answer:

D. –10

Step-by-step explanation:

Given equation:

y = 3x – 1

what is the value of y when x equals –3?

Substitute x = -3 into the equation to find y

y = 3x – 1

= 3(-3) - 1

= -9 - 1

= -10

y = -10

The correct answer is D. –10

Answer:

D).

Step-by-step explanation:

I took the test.

Answer:

6

Step-by-step explanation:

30-6=24

(6 people walked which means they are not included in the people fitting on the busses)

24/4=6

(from there you need to divide by 4 to tell how many were on each bus.)

Answer:

[tex]y < x + 1[/tex]

Step-by-step explanation:

Answer:

(5+7)^5

12^5

12*12*12*12*12

248832

Step-by-step explanation:

Answer:

40 cubes or cubic inches or whatever measurement the problem is using