Answer: (a) 4
(b) 5
(c) 14
(d)
Class interval Class mark
30 - 35 [tex]\dfrac{35+30}{2}=32.5[/tex]
35 - 40 [tex]\dfrac{35+40}{2}=37.5[/tex]
40 - 45 [tex]\dfrac{40+45}{2}=42.5[/tex]
45 - 50 [tex]\dfrac{45+50}{2}=47.5[/tex]
50 - 55 [tex]\dfrac{50+55}{2}=52.5[/tex]
Step-by-step explanation:
The data of 40 persons is given as :
Weights (in kg) Frequency
30 - 35 6
35 - 40 13
40 - 45 14
45 - 50 4
50 - 55 3
(a)
Lower limit is the lowest number in a class interval .
So, is the lower limit of fourth-class interval (45 - 50) is 4.
(b)
Class size = Upper limit - lower limit
So, Class size of first class interval = 35-30=5
Thus , class size of each interval is 5. [ class size remains same]
(c)
Highest frequency in table = 14 which is corresponding to 40 - 45 .
Thus , 40 - 45 is the class interval has the highest frequency.
(d)
Class mark is the mid value of each class interval.
Class interval = [tex]\dfrac{(\text{Upper limit+Lower limit})}{2}[/tex]
Class interval Class mark
30 - 35 [tex]\dfrac{35+30}{2}=32.5[/tex]
35 - 40 [tex]\dfrac{35+40}{2}=37.5[/tex]
40 - 45 [tex]\dfrac{40+45}{2}=42.5[/tex]
45 - 50 [tex]\dfrac{45+50}{2}=47.5[/tex]
50 - 55 [tex]\dfrac{50+55}{2}=52.5[/tex]
ray bought the seven books shown below as well as an eighth book. the eighth book was $21.90. what was the price of the eighth book ?
Answer:
$21.90
Step-by-step explanation:
You say that in the question "the eighth book was $21.90". Please rephrase if that is not what you meant :)
c. Aria was having a birthday party for her friend. She ordered two pizzas for the party.
Each pizza had 24 slices. When the party was over, 17 slices were left. How many
slices of pizza were eaten at the party.
Answer:
31
Step-by-step explanation:
Each pizza had 24 slices so 2 pizzas had 24+24 or 24x2 = 48 slices
If only 17 remains, 48-17 = 31 slices got eaten
Answer:
31 eaten
Step-by-step explanation:
She started with 2 pizzas with 24 slices each
2*24 = 48
17 slices were left
48 - 17 = 31
That means 31 were eaten
At the school the ratio of boys to girls is 5:3 if there are 385 boys in the school, how many students are there altogether?
Answer:
There are 616 total students
Step-by-step explanation:
boys : girls: total
5 3 5+3 = 8
There are 385 boys
385/5 = 77
Multiply each term by 77
boys : girls: total
5*77 3*77 8*77
385 539 616
There are 616 total students
Answer:
616 total students
Step-by-step explanation:
5 : 3
385 : x
5 x 77 : 3 x 77
385 : 231
385 + 231 = 616
What is the domain of the following function: f ( x ) = √ x + 4/ x − 2
Answer:
(-∞,+∞) interval notation
it is not clear if the square root on the x only or the four too.
the answer above is if the equation is :
√x +4/x -2
PLEASE HELP WILL MARK BRAINLIEST!:)
What are the solutions to the inequality (x-3)(x+5) less than or equal to 0?
a) {x| 3 less than or equal to x less than or equal to 5}
b) {x| -5 less than or equal to x less than or equal to -3}
c) {x| -5 less than or equal to x less than or equal to 3}
d) {x| -3 less than or equal to x less than or equal to 5}
Answer:c
Step-by-step explanation:
In 3 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 24 minutes. If both belts are used, find how long it takes to move the cans to the storage area. The time it takes to move the cans to the storage area using both belts is
Answer:
The answer is 1-1/2 minutes.
Step-by-step explanation:
The ratio of the lengths of corresponding parts in two similar solids is 4:1.
What is the ratio of their surface areas?
A. 16:1
B. 8:1
C. 4:1
D 641
Answer:
the ratio is 16:1
Step-by-step explanation:
surface area is measured in square units, so you should square both numbers in the linear ratio to get the ratio for the surface area.
[tex]4^{2} : 1^{2} -->16:1[/tex]
Answer:
A.16:1
Step-by-step explanation:
what is the wvt
90
32
58
Answer:
B Maybe
Step-by-step explanation:
10) Two number cubes are rolled and the results are added. (There are 36 possible
outcomes.) What is the probability the sum is equal to 2?
Answer:
2.7%
Step-by-step explanation:
The first thing to take into account, how could the sum be and the only way is that in each numerical cube, get a 1, because the other option is 2+ 0, but it is assumed that both cubes are numerical and on each side there are number.
Therefore, the probability would be that in each die 1 appears, they tell us that there are 36 possible results in the two dice and this would be 1 of those 36 results, which means that the probability would be:
1/36 = 0.027
What 2.7% means is the probability
Kevin thinks of a number. He adds 2 to the number, multiplies the result by 3,
and then subtracts 6. The number he ends up with is 27. What number did
Kevin start with?
If you work backward to solve this problem, what do you do first?
O A. Subtract 6 from 27
B. Add 6 to 27
C. Multiply 27 by 3
D. Subtract 2 from 27
Answer:
The answer is B.
Step-by-step explanation:
Mark me brainiiest.
Which sequence of transformations will map figure H onto figure H′?
Answer:
Rotation of 180° about the origin, translation of (x-10, y+2), and a reflection across x=-6
Step-by-step explanation:
The answer above me would be the answer if the problem was focussed on the y-axis, but, the problem is focussing on the x-axis.
The problem was focused on the y-axis, but, the problem is focused on the x-axis.
We have given that,
the sequence of transformations will map figure H onto figure H
We have to determine the transformation given in the following diagram.
What is the rotation of the origin?Rotation about the Origin is a transformation that rotates or turns a figure (e.g., a triangle) about the origin point (x,y)→(0,0).
( x , y ) → ( 0 , 0 ) . The angle of Rotation: The number of degrees that a figure is turned or rotated about the origin.
Rotation of 180° about the origin, translation of (x-10, y+2), and a reflection across x=-6
The problem was focused on the y-axis, but, the problem is focused on the x-axis.
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Use the drawing tool(s) to form the correct answers on the provided graph.
In the given equation, yis a function of x.
Graph the function in the coordinate plane. Use the Mark Feature tool to indicate the x- and y-intercepts of the function.
Drawing Tools
Click on a tool to begin drawing
(90points)
Can you please send image clearly ?
Answer:
y = 2/3x + 4
Step-by-step explanation:
If an event is likely to occur, which of the following best describes the probability that the event will occur?
A) The probability is between 0 and 1/4
B) The probability is between 1/4 and 1/2
C) The probability isn’t between 1/2 and 3/4
D) The probability is between 3/4 and 1
Answer:
C bc I believe u made a spelling error if not, D
Step-by-step explanation:
closer to 1 = more likeliness
If an event is likely to occur, the probability that the event will occur is between 3/4 and 1.
What is the probability?
Probability determines how likely it is that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
If the probability lies between 0 and 1/5, it is likely that the event would not occur. If the probability lies between 1/5 and 1, it is likely that the event would occur.
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The graph illustrates a reflection of JKM. What is the line of reflection?
A. x-axis
B. y-axis
C. y=x
D. y=2x
Answer:
A. x-axis
Step-by-step explanation:
The answer is the x-axis because the trangle is an exact reflection flipped across the x-axis. We also know this was flipped across the x-axis because the x values do not change, but the y values are the exact opposite. For example, point M has coordinates (1,-1) while point M' has coordinates (1,1). This is the same for points K, K', J, and J'.
Hope this helps ;)
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is x, the length of D C is 4 x, and the length of B D is 10. What is the value of x? 2 units 3 units 5 units 8 units
Answer:
5 units
Step-by-step explanation:
see the picture
Answer:
The answer is 5 units
Step-by-step explanation:
What is the length of BC in the right triangle below?
Answer:
15
Step-by-step explanation:
Look at the attachment
Select two ordered pairs that satisfy the function y = –4x – 1.
Answer:
(-0.25,0) and (0,-1)
Step-by-step explanation:
I used a graphing calculator.
Put function the the calculator
then ind two points on the function and that is your answer
A textbook store sold a combined total of 368 psychology and sociology textbooks in a week. The number of psychology textbooks sold was three times the
number of sociology textbooks sold. How many textbooks of each type were sold?
Number of psychology textbooks sold: 1
Number of sociology textbooks sold:
Step-by-step explanation:
Total books = 368.
Sociology books = 92.
Psychology books = 3 times sociology books
= 3 x 92 = 276
Total = 276 + 92 = 368
How is completing the square for an expression different than completing the square to solve an equation?
Answer:
Completing includes a change for the extra term has to be subtracted
Where completing the square to an equation will always result in finding what equals zero.
will mark bianleast
What is the distance between the points (–8, –2) and (–7, –2)?
1
6
10
15
Answer:
-The distance:
[tex]d = 1[/tex]
Step-by-step explanation:
-To find the distance between points [tex](-8,-2)[/tex] and [tex](-7,-2)[/tex], you the distance formula:
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2}}[/tex]
-Use the two given points [tex](-8,-2)[/tex] and [tex](-7,-2)[/tex] for the distance formula:
[tex]d = \sqrt{(-7 + 8)^{2} + (-2 + 2)^{2}}[/tex]
-Then, solve the formula:
[tex]d = \sqrt{(-7 + 8)^{2} + (-2 + 2)^{2}}[/tex]
[tex]d = \sqrt{(1)^{2} + (0)^{2}}[/tex]
[tex]d = \sqrt{1 + 0}[/tex]
[tex]d = \sqrt{1}[/tex]
[tex]d = 1[/tex]
So, the answer for the distance would be [tex]d = 1[/tex] .
I NEED HELP PLEASE 30 points
Select the correct paint
One linear equation is defined by the points (2, 4) and (1, 1), while the other is defined by the points (2.-2) and (-5). Which point represents
the solution to this system of equations?
WILL GIVE BRAINIEST!! A circle has a radius of 14. Let AB be a chord of the circle, such that AB = 12. What is the distance between the chord and the center of the circle?
Step-by-step explanation:
ETA ES LA FÓRMULA:
x = [tex]\sqrt{4(14)^{2} - (12)^{2}}[/tex]/2 = 12.6
Which of the following proportions could be used to convert 12 quarts to gallons?
Answer: it is c.
Step-by-step explanation: you have to think of it as being part of a whole. Bascially proportions.
Answer:
C
Step-by-step explanation:
C
Charlie wants to order lunch for his friends. He'll order 5 sandwiches and a $3
kid's meal for his little brother. Charlie has $28. How much can he spend on
each sandwich if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
D A. Answer: $5 or less
B. Answer: $7.66 or less
O C. Inequality: 3x+5<28
OD. Inequality: 3x+5 s 28
O E. Inequality: 5x+3 s 28
OF. Inequality: 5x+3228
Answer:
A
Step-by-step explanation:
Charlie bought a $3 kids meal so 28-3 is 25. Since he wants to buy sandwiches for 5 people, he'll have to divide 25 / 5 which is 5. So $5 or less.
What is the probability that out of 175 chicks hatched on Peeper Farm, at
least 80 will be female? Assume that males and females are equally probable,
and round your answer to the nearest tenth of a percent.
A. 88.7%
B. 38.1%
C. 3.5%
D. 99.7%
The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.
Given that,
Total number of hatched chicks = 175
At least 80 are female,
Probability can be defined as the ratio of favorable outcomes to the total number of events.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Since in the question
total chicks(total sample) = 175
probability for at least 80 chicks will be female.
Probability = number of female chicks / total number of chiks
= 80 /175
= 0.45 or 45%
Thus, The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.
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thats not even an answer
Jason has two pairs of pants, four shirts, and two pairs of shoes from which to choose to wear to school. How many possible outcomes does Jason have? A. 2 B. 4 C. 8 D. 16
Answer:
16 as 2 x 4 x 2 = 16
Step-by-step explanation:
just like on a dice we have 2 dice and 36 outcomes we multiply 6 x 6 to find it answers 36.
With Jason's outcomes he has 2 x 4 x 2 = 16
Answer:
16
Step-by-step explanation:
2 pants * 4 shirts * 2 shoes = 16
please mark me brainliest :)
Hello can someone please help me ASAP
Answer:
A.
Step-by-step explanation:
[tex]m^2+n^2=p^2[/tex] because the Pythagorean Theorem is [tex]leg^2+leg^2=hypotenuse^2[/tex]
Answer:
A
Step-by-step explanation:
Since p is the hypotenuses it's supposed to be the biggest measure so the m and n should equal the hypotenuses when both are squared
Monyne Phillips three coins. What is the probability that the first second and third Cornwall in the same way (either all heads or or tails) SHOW YOUR WORK
Answer:
1 in 8 chance.
Step-by-step explanation:
When a coin flips is has two outcomes: heads or tails, obviously.
Whenever you have a 50/50 probability, in this case a coin, every time you add another coin the amount of outcomes squares, or multiplies by the number of outcomes, and since we are using a coin, two. To reiterate, say we were using a die, a die is a cube, a six sided shape, so there are six outcomes. The chances of getting all sixes with one die is 1 in 6. Add another die and try to get all sixes, the chances become 1 in 36. We got this by multiplying our out comes by our outcomes
1 coin: 2 outcomes
2 coins: 4 outcomes
3 coins: 8 outcomes
Another thing:
Don't be fooled by questions being specific by saying "all heads" or "all tails"...
This is a wording trick, no matter the outcome, the chances will always be equal.
Good luck :)
A car manufacturer announced that next year the price of a certain model car would increase by 5.5 %. This year the price is $17,635. Find the increase and the new price. The increase in the price of the car is $? (Round to the nearest cent as needed.) The new price of the car is $? (Round to the nearest cent as needed.)
Answer:
Increase: $969.93 New Price: $18,604
Step-by-step explanation:
I got this answer by finding out how much of the initial price 5.5% was, it ended being 969.925 so I rounded that to 969.23 so that I may found how much the price increased, then I added the increase price to the initial price so that I may find out how much the car would cost next year which is, $18,604.
Can I have some help on this question?
Answer:
The definition of a parallelogram states that opposite sides are parallel, so try finding the slopes of DC and AB, If they are equal that means, the sides are parallel. Do the same for AD and BC.