Answer:
A.) - 0.2992
B.) Q1 = 36.75
Q2 = 38.45
Q3 = 41
C.) IQR = 4.25
D.) LOWER FENCE = 30.375
UPPER FENCE = 47.375
Yes, 49.3
Step-by-step explanation:
Given the data:
Arranged data in ascending order :
31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3
Using calculator to save computation time :
Population mean (μ) = 38.88
Standard deviation (s) = 3.61
A.) The zscore for individual who obtained 37.8 miles per gallon :
Standardized score formula :
Z = (Score(x) - mean) / standard deviation
Z = (37.8 - 38.88) / 3.61
Z = - 1.08 / 3.61
Z = - 0.29916
Z = - 0.2992
B) The quartile ;
Lower quartile (Q1) :
1/4(n +1)th term
n = sample size = 24
1/4(24 + 1)
= 1/4(25) = 6.25th term
(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75
Upper quartile (Q3) :
3/4(24 +1) = 3/4(25) = 18.75th term
(18th + 19th) = (40.6 + 41.4) = 82/2 = 41
Median (Q2) :
1/2(24 +1) = 1/2(25) = 12.50th term
(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45
C.) interquartile range :
Q3 - Q1 = (41 - 36.75) = 4.25
D.) OUTLIER
LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375
UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375
1. Marsha used 2 cups of sugar to make 3 dozen
cookies. How much sugar would she use to make 9
dozen cookies?
Please help due in 10 min.
Answer:
A: equiangular S: Right
Step-by-step explanation:
Write an equation in slope-intercept form that goes through (12, 4) and (20,8).
Answer:
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: [tex]y = \frac{1}{2}x-2[/tex]
Step-by-step explanation:
Given two points are:
[tex](x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)[/tex]
Slope intercept form of line is given as:
[tex]y = mx+b[/tex]
Here m is the slope of the line and b is the y-intercept.
Slope of a line is calculated by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values
[tex]m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}[/tex]
Putting the value of slope in slope-intercept form we get
[tex]y = \frac{1}{2}x+b[/tex]
To find the value of b, any one point will be put in the equation
Putting the first point (12,4) in the equation
[tex]4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2[/tex]
Putting the value of b
[tex]y = \frac{1}{2}x-2[/tex]
Hence,
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: [tex]y = \frac{1}{2}x-2[/tex]
What is the slope of a line perpendicular to the line passing through the points P (2,5) and Q (-3,7)?
Answer:
2/5
Step-by-step explanation:
perpendicular line means the two lines' slope when multiplied together gives a answer of -1.
hence, we just need to find the slopw of the line connecting the 2 points and form an equation with -1 to get the slope the question wants.
slope of the line PQ:
(7-5)/(-3-2) = -2/5 (slope formula)
slope of the perpendicular line:
-2/5 x slope = -1
slope = (-1)/(-2.5) = 2/5
(34+ (9 x 2)) divide2 = _
Answer:
26
Step-by-step explanation:
9 x 2= 18
18+34= 52
52/2= 26
G(x)=(x-2)(3x+3) find the zeros of the function enter the solution from least to greatest
Hello i need help with that too
Answer: g (x)=(x -2)(3x +3)
lesser x = -1
greater x = 2
Step-by-step explanation:
To encourage people to vote John calls his family and friends every week. If he Dedicates three hours to making calls and has a goal of making one car every 1/5 hour, how many people will he reach out to?
Answer:
15 people
Step-by-step explanation:
I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
all of the points in the picture are on the same line.
Find the slope on the like exain or show your reasoning
write and equation for the line.
find the values for A and B. Explain your reasoning.
Answer:
Step-by-step explanation:
Find the slope and then the equation of line.
(x₁ , y₁) = (2 , 2) & (x₂, y₂) = (6 , 10)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{10 - 2}{6 - 2}\\\\= \frac{8}{4}\\\\= 2[/tex]
m = 2
Equation of the line: y - y₁ = m(x - x₁)
y - 2 = 2 (x - 2)
y - 2 = 2x - 4
y = 2x - 4 + 2
y = 2x - 2 --------------(I)
(a, 8)
Plug in x = a & y = 8 in (I)
8 = 2a - 2
8 + 2 = 2a
10 = 2a
a = 10/2
a = 5
(4 , b)
Plug in x = 4 & y = b in (I)
b = 2*4 - 2
b = 8 - 2
b = 6
Answer:
dog peas
Step-by-step explanation:
donkey peas
The container that holds the water for the football team is 1/5 full. After pouring in 7 gallons of water, it is 7/10 full. How many gallons can the container hold?
Each square and figure DNE has a side length of one unit compare the area of the two figures which figure has more area how much more explain or show your reasoning
Answer:
✅Figure E has more area
✅Figure E has 5.14 units² much more than Figure D.
Step-by-step explanation:
The logic to solving this kind of problem is to decompose and each of the figure to find out how many squares and circles are there in each figure, them calculate the area of each figure using the formula for area of square and area of a circle.
✍️Figure D:
Figure D is composed of 2 squares and 4 semicircles (2 full circles).
Since side length of 1 square = 1 unit, therefore, radius of the semi-circle/circle = 1 unit.
Area of the 2 squares = 2(s²) = 2(1²) = 2 unit²
Area of the 2 full circles = 2(πr²) = 2(3.14*1²) = 6.28 unit²
Area of Figure D = 2 + 6.28 = 8.28 unit²
✍️Figure E:
Figure E is composed of 4 squares and 6 quarter circles (3 full circles).
Area of the 4 squares = 4(s²) = 4(1²) = 4 unit²
Area of the 3 full circles = 3(πr²) = 3(3.14*1²) = 9.42 units²
Area of figure E = 4 + 9.42 = 13.42 unit²
✅Therefore, we can conclude that Figure E has more area.
✅Figure E has 5.14 unit² more area than Figure D (13.42 - 8.28 = 5.14).
0.2 4/15 0.21 1/4 in least to greatest
Answer:
0.2, 0.21, 0.25 (1/4), 0.2666666 (4/15)
Step-by-step explanation:
at 4 pm charlie realizes he has half an hour to get to his grandmother's house for dinner? if his grandmother lives 40 miles away, how fast will charlie have to drive to get there on time?
Answer:
10 minutes
Step-by-step explanation:
Speed = distance ÷ time, so 40 ÷ 4 = 10
hope this helps :)
If a decimal is only in the ____, you can move it up into the quotient
Answer:
Divident
Step-by-step explanation:
Allyn's room is located at (3, -3). Use words to describe the location on a
coordinate plane.
Will name brainest for the first great answer with a explanation
Her room's location is 3 right from the origin, or (0,0) , and 3 down from the origin. She is in the 4th quadrant.
(I'm not quite sure how I'm supposed to describe it...)
2. What is the difference if 0.915 is taken from 2.31?
A. 1.395
B. 3.225
C. 2.395
D.4.126
Need help please please it due today at 4:50pm really need help please
Answer:
70
Step-by-step explanation:
Which number line model represents the expression 3.5+(-5)
Answer:
it is -1.5.
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
hope this helps
. Part A: Under a dilation of scale factor 3 centered at the origin, AB becomes A'B'. Determine the coordinates of A'B' and sketch A'B' on the graph. 1 Part B: Under a dilation of scale factor - centered at the origin, AB becomes DC. Determine the coordinates of DC and sketch DC on the graph.
Answer:
Step-by-step explanation:
Part A.
Coordinates of A and B are,
A(-2, 2) and B(3, 2)
Rule for dilation of a point (x, y) by a scale factor k about the origin,
(x, y) → (kx, ky)
If the points A and B are dilated by a scale factor 3, image points will be,
A(-2, 2) → A'(-6, 6)
B(3, 2) → B'(9, 6)
Part B.
Following the same rule of dilation about the origin by a scale factor of [tex]\frac{1}{2}[/tex] about the origin,
A(-2, 2) → D(-1, 1)
B(3, 2) → [tex]C(\frac{3}{2},1)[/tex]
Arrange the numbers in order from least to greatest.
1/2, -5,
0.56,
0,
12%
Least to greatest
Answer:
-5,0,0.56,12%,1/2
Step-by-step explanation:
(PLZ help)
Which of the following expressions represents the value, in dollars, of a certain number of dimes, d, and pennies, p?
0.01d + 0.10p
0.10d + 0.01p
0.11dp
0.11d + p
Answer: The answer should be 0.10d + 0.01p
Step-by-step explanation: please give brainliest :)
The area of a circular wave expands across a still pond such that its radius increases by 14 cm each second. Write a formula for the area A of the circle as a function of time t since the wave begins: A=
Answer:
A = π(14t)²
Step-by-step explanation:
The radius is increasing at the rate of 14 cm per second.
We need to find the formula for the area A of the circle as the function of time t.
Initial area of the circle,
A = πr², where r is the radius of the circle
Area as a function of t will be :
A = π(14t)²
Here, 14t is the radius of the wave.
We want to get the area function given that we know how the radius increases with time.
The function is:
A(t) = (615.44 cm^2)*t^2
Here we know that the radius of a circular wave increases by 14cm each second.
Then we can write the radius as a function of time as:
r(t) = 14cm*t
where t is the time, in seconds, since the wave begins.
Now, remember that the area of a circle of radius r is given by:
A = pi*r^2
where pi = 3.14
Replacing r by the radius function, we get:
A(t) = 3.14*(14cm*t)^2 = (615.44 cm^2)*t^2
This is the area function we wanted to get.
if you want to learn more, you can read:
https://brainly.com/question/22964077
what is 882992+2899992237×2222÷29727
Answer:
217648314.791
Step-by-step explanation:
Answer:
217648314.791
Step-by-step explanation:
Multiply first and then divide and then you add the numbers together.
plz help it's due in 10 min
Which is the most accurate statement about the sign of the product of a positive integer and a negative integer? 1.It is positive.
2.It is negative.
3.It depends on the sign of the first of the two numbers.
4.It cannot be predicted without knowing the integers.
Answer:
3
Step-by-step explanation:
A corporation is having a shareholders meeting to vote on a new issue. Not all shareholders are able to attend. In fact, most usually do not. The ownership of the corporation is represented by 2,351,00 shares of stock owned by 111,273 shareholders. Must all of the shareholders own more than one share of stock? If 3,411 shareholders attend the meeting, what percent of the shareholders attended the meeting? Round to the nearest percent. If the shareholders who do not attend own a combined 1.8 million shares of the corporation and the shareholders are voting on a particular issue, these shareholders can vote by proxy - an absentee ballot. If 100,000 of the shareholders vote by proxy, what percent of the shareholders did not vote at all?? Round to the nearest percent.
Answer:
a) The percentage of the shareholders who attended the meeting is 3%.
b) The percentage of the shareholders who did not vote at all is 7%.
Step-by-step explanation:
a) Data and Calculations:
Outstanding shares = 2,351,000
Number of shareholders = 111,273
Number of shareholders who attended the meeting = 3,411
The percentage of the shareholders who attended the meeting = 3,411/111,273 * 100
= 3.065
= 3%
Absent shareholders = 107,862 (111,273 - 3,411) and own 1.8 million shares
Proxy voters = 100,000
Non-voting shareholders 7,862
Therefore, the percentage of shareholders who did not vote at all
= 7,862/111,273*100
= 7.0655
= 7%
Six ice cream cones cost $16.50. At this rate, how much do 2 ice cream cones cost?
Answer:
$5.50
Step-by-step explanation:
One icecream cone costs $2.75, so two would cost $5.50.
Answer:
$5.5
Step-by-step explanation:
--Use division
16.50 ÷ 6 = 2.75
--Then multiplication
2.75 x 2 = 5.5
It costs $5.5 to buy 2 ice cream cones.
help please with #3
Answer: x = 2a over b + c
Step-by-step explanation:
1. Multiply both sides by two. This cancels out 2 and turns a into 2a. It should look like 2a = bx + cx
2) Since both b and c have x’s, we turn it into (b + c)x
3. Then divide both sides by b+c to get 2a over b + c = x
Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.
Answer: 306 inches or 25.5 feet or 8.5 yards.
Step-by-step explanation:
Given: Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon.
1 feet = 12 inches
length of ribbon Tino has = 12 x 7.5 = 90 inches
1 yard = 36 inches
length of ribbon Baxter has = 3.5 x 36 = 126 inches
Total ribbon they have = (length of ribbon Carol has) + (length of ribbon Tino has) + (length of ribbon Baxter has)
= (90+90+126) inches
= 306 inches
In feet , Total ribbon = [tex]\dfrac{306}{12}\text{ feet}[/tex] [tex][\text{ 1 inch}=\dfrac{1}{12}\text{ feet}][/tex]
[tex]=\text{25.5 feet}[/tex]
In yards, Total ribbon =[tex]\dfrac{25.5}{3}\text{ yards}[/tex] [tex][\text{1 feet}=\dfrac{1}{3}\text{ yard}][/tex]
[tex]=\text{ 8.5 yards}[/tex]
Hence, the total length of ribbon the three friends have is 306 inches or 25.5 feet or 8.5 yards.
Could someone help a girl out?
Answer:
x = 19
Step-by-step explanation:
Trapezium area formula: [tex]\frac{a+b}{2} * h[/tex], where a & b are the two bases.
Now, if we plug in our known values, we can solve for the missing base.
[tex]\frac{5 + x}{2} * 4 = 48[/tex]
[tex]\frac{5 + x}{2} = 12\\\\5 + x = 24\\\\x = 19[/tex]
Answer:
Yes I would have to agree with Goliath, x = 19.
Step-by-step explanation:
You can mark Goliath Brainlest if you want they did the answer first.
Sammy saw a fish swimming at a constant rate toward the ocean floor. From a starting position of 7 meters below sea level, the fish is descending 3 meters per second. Sammy said the equation y= -7x - 3 can be used to represent the situation. Explain why Sammy is incorrect and how he could fix it.
Answer:
what grade is this lol
Step-by-step explanation:
Answer:
y = 3x - (-7)
Step-by-step explanation:
As the fish starts at -7 meters below sea level, and is descending 3 meters per second, Sammy needs to subtract -7, and then multiply 3 by x. (x being the time is takes)
Write an equation for the line in slope-intercept form, Passing through the point (1,-6) and (-1,0)
y =
Solve
Show full work
Answer:
y=3x+3
Step-by-step explanation:
y=mx+b is slope intercept form
to find the slope(m) you need to plug your numbers into the equation y(2)-y(1)/x(2)-x(1)
which means subtract the Y's together and the X's together and put the quotient of the Y's on top. Note that you have to choose a set of number to be the first group and the other set as the second group
so (0-6)/(-1-1) = -6/-2 = 3
3 will be your slope. plug that and a set of your numbers into the slope intercept equation
0=3(-1)+b
0=-3+b
3=b
y=3x+3