A gumball machine contains red, orange, yellow, green, and blue gumballs. Twenty percent of the gumballs are red, 30% are orange, 5% are yellow, 10% are green, and the rest are blue. If there are a total of 120 gumballs, how many more blue gumballs are there than yellow gumballs?

Let the amount the friend pays be x. Then, 2 times what the friend pays is 2x. Less $2,000 what the friend pays is 2x-2000.

Now we know that

2x-2000=48000

Add 2000 to both sides of the equation

2x-2000+2000=48000+2000

2x+2000-2000=50000

2x=50000

Divide both sides by 2

X=25000

Thus, the friend pays $25,000 for their car.

Given the equation (x/y)-z=rw, we make x the subject of the formula as follows:

(x/y)-z=rw

Add z to both sides of the equation

(x/y)-z+z=rw+z

(x/y)=rw+z

Multiply both sides by y

(x/y)*y=y(rw+z)

X=y(rw+z)

Rearranging the equation results in:

X = y(z+rw)

The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.

Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week.Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.

As you can see below, the Histogram is used to depict a pattern/continuous/rangedata. While a bar graph does just fine even with discrete data.

The percent equivalent of a fraction is obtained by multiplying the by frication by 100%.

Convert 5 ¼ into improper faction as follows

So, the percent equivalent is:

To find the area of the largest circle that fits in the rectangle, we need to determine the area of a circle with a diameter of 8 cm or less to fit on the rectangle with the given measurements as illustrated below.

Area of circle= πr2

Radius of circle, r=8cm/2=4cm

Then, area of the largest circle is:

Area of circle= π*4 cm *4 cm =16π cm2

To solve this problem, we need to find the mean, mode, and median of the above data set.

From the data set, the mode of the data is 2 and 8. They are the most occurring elements in the data set.

The mean of data is the total divided by the number of elements

Total=1+ 1 + 2+ 2+ 2+ 2+ 3 +3+ 7+ 7+8+8+ 8+ 8+ 9+9=80

Number of elements=16

Mean=80/16=5

Median will fall in between the (N/2)th and (N/2+1)th position

(N/2)th =16/2 =8th position and (16/2+1)th =9th position

Since the data is arranged in ascending order as below

1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9

Element in 8th position = 3

Element in 9th position =7

So the median average of the two elements=(3+7)/2=5

Now the data could be presented as follows in the distribution curve

This is because the data set has two modes, meaning the data is bimodal.

Use the order of operations to solve the given equation. The acronym PEDMAS will help us to solve the given problem. (or use BODMAS)

P- Parenthesis

E-Exponents

D-Divide

M-Multiply

A-Add

S-Subtract

From the given equation start with solving :-

12 ÷3 * 4 - 1 + 23

Next, carry out division 12÷3=4

4*4-1+23

Multiply is 4*4=16

16-1+23

Add or subtract can be conducted in any order. From left to right, we subtract followed by addition

Subtract 16-1=15

15+23

The last step is to add 15+23

15+23=38

Thus, the answer to the given equation is 38.

Determine the number of blue and yellow gumballs as follows:

Percent of blue gumballs=100%-(20%+30%+5%+10%) =100%-65%=35%

Number of blue gumballs35% of 120=0.55*120 = 42 blue gumballs [35%=35/100=0.35]

Number of yellow gumballs=5% of 120=0.05*120 = 6 yellow gumballs [5%=5/100=0.05]

Difference between the number of blue and yellow gumballs=42-6= 36 balls

Therefore, there are 36 more blue gumballs than yellow gumballs.

To convert inches to centimeters, use the conversion factor:

1inch=2.54cm

Now, multiply:

7×2.54=17.78cm

A negative correlation means as one variable increases, the other variable decreases or as one variable decreases, the other variable increases. Based on this definition, we analyze the given statement as follows:

People who play baseball more tend to have more hits is POSITIVE CORRELATION

Shorter people tend to weigh less than taller people is a POSITIVE CORRELATION

Tennis balls that are older tend to have less bounce is a NEGATIVE CORRELATION

Cars that are older tend to have higher mileage is a POSITIVE CORRELATION