Answer:
x = 3
Step-by-step explanation:
5 = 3x - 4
9 = 3x
x = 3
The dot plot shows the number of chess games won by each of the 20 students in a competition.
Which statement about the data is true?
A. The median is 4, and the interquartile range is 10
B. The median is 4, and the interquartile range is 5
C. The median is 5, and the interquartile range is 10
D. The median is 5, and the interquartile range is 5
Answer:
Letter B is the correct answer. Median is 4 and IQR is 5.
Step-by-step explanation:
The median is 4 and the interquartile range is 6. The correct option is B.
What is an interquartile range?The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.
The median is the middlemost value of the numbers arranged in ascending orders. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.
The data is given below:-
0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10
Median = (4 + 4) / 2 = 4
The interquartile range is calculated as:-
0,0,0,1,1,3,3,3,4, | 4,4 |, 6,6,7,7,7,8,8,9,10
Lower range upper range
IQR = 7 - 1 = 6
Therefore, the median is 4 and the interquartile range is 6. The correct option is B.
The complete options are given below:-
A. The median is 4, and the interquartile range is 5
B. The median is 4, and the interquartile range is 6
C. The median is 5, and the interquartile range is 6
D. The median is 5, and the interquartile range is 5
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(d) Hong bought 20 pounds of flour for $10.
How many dollars did he pay per pound of flour?
Answer:
$0.50 per pound
Step-by-step explanation:
divide the amount in pounds by the amount in dollars. Hope this helps <3
If labor costs were $3,000,000 last year and $2,700,000 this year, what percentage decrease was achieved?
Answer:10%
Step-by-step explanation:
The percentage decrease achieved would be 10 % when labor costs were $3,000,000 last year and $2,700,000 this year.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.
The labor costs were $3,000,000 last year and $2,700,000 this year which is given in the question.
We have to determine the percentage decrease that was achieved.
As per the given information, the required evaluation would be as:
⇒ ($3,000,000 - $2,700,000)/3,000,000 × 100
⇒ 3,000,00/3,000,000 × 100
⇒ 0.10 × 100
⇒ 10 %
Therefore, the percentage decrease achieved would be 10 %.
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Write an expression that represents the height of a tree that begins at feet and increases by feet per year. Let represent the number of years.
Answer:
h = f + fy
Step-by-step explanation:
h represents height
f represents feet
y represents years
Please answer this correctly without making mistakes
Answer:
1 ft 3 in
Step-by-step explanation:
4 + 11 = 15
15 inches in feet is 1 foot 3 inches
Midpoint question......
Answer:
24; 12; 35
Step-by-step explanation:
Midsegments are 1/2 or their parallel line, so:
SU*2=QR
QR=24
Since QT is half of QR because point T is the midpoint of that line:
SU*1=QT
QT= 12
If PR=70, then ST is half of that:
70/2=35
A jet travels at 483 miles per hour. Which equation represents
the distance, d, that the jet will travel in t hours?
Answer:
d=483t
Step-by-step explanation:
If i recall correctly
distance = velocity * time
This means that
d=483t
a car has 7 gallons of gas the car gets 40 MI per gallon how many gallons does it take
Find the ordered pairs for the x- and y- intercept of the equation 8x-2y=16 and select the appropriate option below.
A) The x-intercept is (-2,0), the y-intercept is (0,8).
B) The x-intercept is (0,2), the y-intercept is (-8,0).
C) The x-intercept is (0,-2), the y-intercept is (8,0).
D) The x-intercept is (2,0), the y-intercept is (0,-8).
Answer:
D
Step-by-step explanation:
What is the equation of the line that passes through the point (-8, -6) and has a
slope of 1/4?
Answer:
equation passes poin that is (x1,y1) = (-8 -6)
m= slope=1/4
then,using formula
y-y1=m(x-x1)
y+6=1/4(x+8)
4y+24=x+8
arrange them,
x-4y-16=0
What is the first quartile of the following data set?
15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Answer:
20.5
Step-by-step explanation:
20 + 21 = 41. Divide 41 by 2 than you get 20.5.
The first quartile of the given data set is 20.
Here,
To find the first quartile of a data set, we first need to arrange the data in ascending order.
Then, we can calculate the position of the first quartile using the formula:
Position of the first quartile (Q1) = (n + 1) / 4
where n is the number of data points in the data set.
Given data set: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Arranging the data in ascending order: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Now, let's calculate the position of the first quartile:
n = 11 (since there are 11 data points in the data set)
Position of the first quartile (Q1) = (11 + 1) / 4 = 12 / 4 = 3
The first quartile (Q1) is the value at the 3rd position in the ordered data set, which is 20.
So, the first quartile of the given data set is 20.
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n Brad's golf bag, he has 4 times more white golf balls than yellow golf balls. He has 24 white golf balls in his bag.
Which equation can be used to find how many yellow golf balls, y, Brad has in his bag?
A.
24y = 4
B.
4y = 24
C.
4 + y = 24
D.
24 + y = 4
Answer:
4y = 24
Step-by-step explanation:
Given:
4 x Number of yellow balls = Number of white balls
Number of white balls = 24
Number of yellow balls = y
Computation:
4 x Number of yellow balls = Number of white balls
4 x y = 24
4y = 24
Number of yellow balls = y = 6 balls
Given that XY is a line segment with the angle a= 21 and c = 33 work out the value of the angle marked b
Answer:
b = 126°Step-by-step explanation:
xy = 180° = a + b + c
180 = 21 + b + 33
180 - 21 - 33 = b
b = 126°
A trade school would like to measure the long-term success of their graduates after they leave the school. The school
emails a survey requesting information from graduates about their work experience. One question asks graduates to
share their annual salar), and the results of the question will be shared in a brochure for incoming students. Is it likely
that the survey results will provide an accurate estimate of mean annual salary for all of the school's graduates?
Answer:
Yes
Step-by-step explanation:
The survey would definitely provide an accurate estimate for that. This is because while the participants are undertaking the survey, the fact that it was their school of study that gave them the survey, makes it less likely for them to lie about their income. And thus, after collecting the response from the participants, surely, they would have the income earnings from their former students and be able to calculate the mean income of them all
The graph of y=cos x° for -180
What is the positive radian measure of the smaller angle formed by the hands of a
clock at 5 o'clock?
Answer:
the required positive radian measure of the smaller angle is 5π/6 radians or 2.618 radians
Step-by-step explanation:
Given the data in the question;
smaller angle formed by the hands of a clock at 5 o'clock
{at 5 o'clock, two angles are form; 150° and 210°}
hence, the smaller angle is 150°
so, smaller angle = 150° × π/180°
smaller angle = 150°π/180°
smaller angle = 5π/6 radians or 2.618 radians
Therefore, the required positive radian measure of the smaller angle is 5π/6 radians or 2.618 radians
The positive radian measure of the angle formed by the hands of the clock at 5 o'clock is [tex]\frac{5\pi}{6}\text{ radians}[/tex]
In one minute, the long hand makes a full turn equivalent to [tex]2\pi[/tex] radians.
At 1 o'clock, the smaller angle formed by the hands of the clock is
[tex]\dfrac{2\pi\text{ rads}}{12}=\dfrac{\pi}{6}\text{ rads}[/tex]
At 5 o'clock, the smaller angle is five times the one we have when the time is 1 o'clock. That is
[tex]\dfrac{\pi}{6}\text{ radians}\times 5=\dfrac{5\pi}{6}\text{ radians}[/tex]
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Which statement is true about the value of the expression below?
PLEASE HELP
Answer:
The answer is It is between 0 and 1
Step-by-step explanation:
If you solve the problem step by step as (-2^3)^-2<1 then it comes out as true so it would be less than 1 but more then 0.
Here are the numbers of supporters at five different ice hockey matches.
75,600
7,506
75,650
7,056
75,026
What is the difference between the largest number of supporters and the smallest?
Answer: 68,594
Step-by-step explanation: Take the largest number 75,650 and subtract the smallest number 7,056.
75650 - 7056 = 68,594
The ratio of the measures of three angles in a triangle is 14:5:11. Find the measures of the angles
Answer:
84 degrees
30 degrees
66 degrees
Step-by-step explanation:
14 + 5 + 11 = 30
180/30 = 6
14 × 6 = 84 degrees
5 × 6 = 30 degrees
11 × 6 = 66 degrees
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what is this and how do you do it ? thank you
Answer:
$568.38
Step-by-step explanation:
Michaels starts the day with $782.88 in his account.
Then he uses $55 from his debit cars to pay for car repairs. Subtract 55 from 782.88 to get $727.88 in the account after the repairs.
After that, he uses $89.50 for a clothing purchase. Subtract $89 from $727.88 to get 638.88, then subtract another 50 cents to get $638.38 after the clothing purchase.
Lastly, he withdraws $70 from his account. Subtract 70 from $638.38 to get a final answer of $568.38 at the end of the day.
8 cups of orange juice is used for the fruit punch for every 12 cups of apple juice. If there is a total of 60 cups of fruit punch, how many cups of orange juice is needed?
Answer:
It would be 40 Orange Juice cup
Step-by-step explanation:
Cause 12 times 5 would equal 60
So if you times 5 and 8 it would be 40
A consumer survey conducted in two consecutive years determined that a fixed baskets of goods and services cost $95.00 in year 1 and $96.25 in year 2.
The rate of inflation from year 1 to year 2 is ___ %.
Fill in blank.
Answer:
1.315%
Step-by-step explanation:
Given:
Prices:
Year 1 =old price =$95
Year 2 = new price = $96.25
The inflation rate is the difference in price between two Given period :
Inflation rate :
(Change in price / old price) * 100%
((New price - old price) / old price) * 100%
((96.25 - 95) / 96) * 100%
= (1.25 / 95) * 100%
= 0.0131578 * 100%
= 1.315%
A=1/2h(b1+b2)
Please solve for b2
Answer:
[tex]\displaystyle b_2=\frac{2A}{h}-b_1[/tex]
Step-by-step explanation:
Equation Solving
Given the formula:
[tex]\displaystyle A=\frac{1}{2}h(b_1+b_2)[/tex]
It's required to solve it for b2.
First, we eliminate denominators by multiplying by 2:
[tex]\displaystyle 2A=h(b_1+b_2)[/tex]
Divide by h:
[tex]\displaystyle \frac{2A}{h}=b_1+b_2[/tex]
Subtract b1:
[tex]\displaystyle \frac{2A}{h}-b_1=b_2[/tex]
Write the new formula:
[tex]\boxed{\displaystyle b_2=\frac{2A}{h}-b_1}[/tex]
find the length of side a
Answer:
12
Step-by-step explanation:
Hope this helps
Jania gets paid $16 to babysit plus an extra $4 for each child. Cheryl gets paid $10 to babysit plus an extra $6 per child. If c represents the number of children who are babysat, which equation could you use to find the number of children that would give Jania and Cheryl equal pay?
Answer:add
Step-by-step explanation:
Matrices C and D are shown below.
2
1
0
a
b
-0.4
C= 0 3
4
D=0
-0.2
0.8
0
2
1
O
0.4
-0.6
What values of a and b will make the equation CD = I true?
a=0.5
b=0.1
O a=0.1
b=0.5
a=-0.5
b=-0.1
Submit
Answer:
it's b
Step-by-step explanation:
hope this helps! :D
Answer:
A
a=0.5
b=0.1
Step-by-step explanation:
edge2021
The combined of a pair of congruent rectangles can be represented in square units by the expression 18y^2 - 8
Answer:
2(3y+2)(3y−2)
Step-by-step explanation:
PLZ HELP I NEED IT DONE IN 5 MINUTES PLZ HURRY Determine the approximate ordered pair for f(x)=g(x)
Answer:
the 2 lines cross at 2,18
help with math :((((
Answer:
See below
Step-by-step explanation:
[tex]area \: = 5b \times 3a \: = 15ab \\ \\ perimeter = 2(5b + 3a) \\ \\ = 10b + 6a \\ \\ = 6a + 10b[/tex]
I need help please mates I’ll give u ten points
