1. Use the given frequency distribution to find the
a) Class width.
b) Midpoint of the first class.
c) Class boundaries of the first class.
d) Relative frequency of the first class
Class Frequency, f
50 – 52
53 – 55
56 – 58
59 – 61
62 - 64
8
15
12
10
5
Answers
The definition and the solution to the points can be defined as follows:
The width of a class refers to differences between upper and lower classes (category).The midpoint of each class (or "classmark") could be calculated as a \(\text{middle point = lowest limit of class + upper limit of class 2}\).Class boundary numbers for separate classes are the numbers used. The difference between the top class limit of one class and the lower class limit of the next class is the size of that class divider.The percentage of data elements of that class is the relative frequency of a data class.Calculation:
For point a:
The width of the class refers to the difference between the upper and lower classes (category).
It is therefore \(\to \bold{52-50 = 2}\)
For point b:
The average upper and lower limits of each class is the medium of first class.For the first class: \(\to \bold{ \frac{(50+52)}{2}= \frac{102}{2} = 51}\)For point c:
Class limits are halfway points between classes. The average upper limit of the previous class and lower limits of the given class are achieved for the lower class boundary of the given class.It is 49.5 to 52.5 for the first class.For point d:
Relative first-class frequency is the sum of first-class divided frequency.\(=\bold{\frac{8}{(8+15+12+10+5)}}\\\\=\bold{\frac{8}{50}}\\\\=\bold{0.16}\\\\\)
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Related Questions
Walnuts for Sale. It costs $4.80 to buy 3/4 pound of chopped walnuts. How much would it cost to purchase 8.2 pounds of walnuts?
Answers
8.2 * 6.4 = $52.48
Solution: $52.48 for 8.2 pounds
Answer:
$52.48
Step-by-step explanation:
We can set up a proportion.
$4.80 is to 0.75 lb as x is to 8.2 lb.
4.8/0.75 = x/8.2
0.75x = 4.8 * 8.2
0.75x = 39.36
x = 52.48
Answer: $52.48
question 3 and 4
- 10 points
Answers
Answer:
3. B
4. 29, 33
Step-by-step explanation:
Write the quotient
6+8i
2i
Answers
The quotient when 6+8i is divided by 2i is given by -3i+4.
We know that, complex number \(i^1=-1\).
Given the divisor is = 2i and dividend is = 6+8i
Dividing the dividend by divisor we get,
(6+8i)/2i = 6/2i + 8i/2i = 3/i + 4 \(=\frac{3i}{i^2}+4\) = 3i/(-1)+4 = -3i+4
Hence the quotient is = -3i+4.
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how much more is 29.80 than 40.53
Answers
Quincy is building a tower out of blocks that are each 5/6 of an inch in height. He decides
to stack only nine so that his tower does not topple over. How tall is the tower with the nine
blocks
Answers
Answer:
90 inches tall
Step-by-step explanation:
5/6 of 12 is 10 so the blocks are 10 inches tall each 10x9 is 90
HURRY AND ANDWER ASAP PLZ answer with work plz and thanks
A cap and a shirt together costs 22.52. If the shirt costs three times as much as the cap how much did each item cost?
Answers
x + 3x = $22.52
4x = $22.52
x = $22.52/4
x = $5.63
Test it. If a cap costs $5.63 and a shirt costs 3x that of the cap, the shirt costs $16.89.
The cost of a cap and a shirt is equal to $5.63 + $16.89 = $22.52
If there are 80 students in a class and 20 are seniors, what proportion of students are not seniors?
Answers
Answer:
3/4
Step-by-step explanation:
First find the number that are not seniors
80 -20 = 60
60 are not seniors
The ratio of not seniors to total
60/80
Divide top and bottom by 20
3/4
Answer:
60 students
Step-by-step explanation:
80 -20 = 60
PLZ HELP ITS DUE TODAY!!!
ALSO PLZ EXPLAIN WHY ITS CORRECT!!!!
Answers
Lines p and q are perpendicular. If the slope of line p is 2, what is the slope of
line a?
Answers
Answer:
D. -½
Step-by-step explanation:
Since line p and q we perpendicular to each other, thus, the slope of line q will be the negative reciprocal of the slope of line p.
Given that line p has a slope of 2, therefore, the slope of line q will be the negative reciprocal of 2.
Negative reciprocal of 2 = -½.
Slope of line q = -½.
Chuck had 30 dollars to spend on 3 gifts. He spent 11
3
4
dollars on gift A and 5
1
2
dollars on gift B. How much money did he have left for gift C
Answers
Answer:
I think he had 4 left over
what is (8 + 56) ÷ 4 + 3 2?
Answers
um is the end a 3 and 2 or 32 or 3*2?
Answer:
the answer to your question is 48
1) Cindy has 5 figurines to put on her shelf. She decides to put them all in a row
How many unique ways are there to arrange the figurines?
Answers
There are 120 unique ways for Cindy to arrange her 5 figurines in a row.
To determine the number of unique ways Cindy can arrange her 5 figurines in a row, we can use the concept of permutations.
The number of permutations represents the number of different arrangements that can be made from a set of objects without repetition.
In this case, Cindy has 5 figurines, and she wants to arrange them in a row. The number of ways to do this can be calculated using the formula for permutations of n objects, which is n!.
Applying the formula, we have:
5! = 5 × 4 × 3 × 2 × 1 = 120
Therefore, there are 120 unique ways for Cindy to arrange her 5 figurines in a row.
It's important to note that the factorial notation (n!) represents the product of all positive integers less than or equal to n. In this case, 5! is calculated as 5 × 4 × 3 × 2 × 1.
Each arrangement of the figurines will be considered unique as long as the order of the figurines differs in any way. By calculating the factorial of the number of figurines, we account for all possible orders and ensure we count each arrangement only once.
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in his first 12 at bats during the baseball season, Jose had 4 hits. he maintained this hit throughout the entire season
Part 1: Jose had 384 at bats throughout the season. Write a proportion that represents the relationship between Jose's at bats and hits
Part 2: How many hits did Jose have during the entire season
Answers
Answer:
195
Step-by-step explanation:
If we combine the data for the two seasons, then Derek Jeter had 12 + 183 = 195 total hits in 48 + 582 = 630 total at-bats. So his overall batting average
what percent of 75 is 57?
Answers
Answer:
76%
Step-by-step explanation:
57/75
(57 X 100)/ 75
5700/75
1900/25
76/1
76
This is for my hw and I am so confused on how to do this. Please someone help me asap!!!!!!!!!
Answers
Answer:
I GOT IT WRONG SORRY IMMA TRY AGAIN, what's the directions?
PLSS HELP ASAPPP PLS What would be the sinuosity of this river:
Sinuosity = 28 cm curved length and a 20 cm straight length.
Answers
Answer:
= CL : SL
= 28 cm : 20 cm
= 1,4 cm
\(\begin{gathered}\begin{gathered}\begin{gathered}\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}} \\\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}}\end{gathered}\end{gathered}\end{gathered}\)
Which is the completely factored form of 4x + 1Ox-6x?
2(x+3)(2x-1)
2x(x + 3)(2x- 1)
2x(x -3)(2x- 1)
2(x-3)(2x + 1)
Answers
Answer:
2(x+3)(2x-1)
Step-by-step explanation:
In a telephone poll, 36 people said they like shopping and 7 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the total number of people polled?
Answers
Answer:
7:43 or \(\frac{7}{43}\)
Step-by-step explanation:
The total is 43 7 + 36
Answer:
7:43
Step-by-step explanation:
36+7 = 43
43 is the total amount of people that were polled
those who don't like shopping are 7, as stated in the question
the ratio is 7:43
A party store recorded recent balloon sales. green 20 blue 17 pink 12 purple 19 orange 7 What is the experimental probability that the next balloon sold will be green? Write your answer as a fraction or whole number.
Answers
The experimental probability of the next balloon sold being green is 4/15.
Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.
According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:
20 + 17 + 12 + 19 + 7 = 75
Now we can use these numbers to calculate the experimental probability of a green balloon being sold:
Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold
Experimental probability of a green balloon being sold = 20 / 75
Experimental probability of a green balloon being sold = 4/15
This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.
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Answer:
4/15
Step-by-step explanation:
Morganton Company makes one product and it provided the following information to help prepare the master budget:
The budgeted selling price per unit is $60. Budgeted unit sales for June, July, August, and September are 8,600, 17,000, 19,000, and 20,000 units, respectively. All sales are on credit.
Thirty percent of credit sales are collected in the month of the sale and 70% in the following month.
The ending finished goods inventory equals 25% of the following month’s unit sales.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Each unit of finished goods requires 5 pounds of raw materials. The raw materials cost $2.40 per pound.
Thirty five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
The direct labor wage rate is $14 per hour. Each unit of finished goods requires two direct labor-hours.
The variable selling and administrative expense per unit sold is $1.80. The fixed selling and administrative expense per month is $67,000.
5. If 96,250 pounds of raw materials are needed to meet production in August, how many pounds of raw materials should be purchased in July?
Answers
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.
Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.
To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.
The payment for raw materials purchases in July (35% of X pounds) will be:
0.35 * X pounds
The payment for raw materials purchases in August (65% of X pounds) will be:
0.65 * X pounds
Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
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First correct answer gets brainliest
Given a line with slope = -4 and y-int= (0, 5), write the equation of the line.
Writing the equation algebraically.
Answers
Answer:
\(y=-4x+5\)
Step-by-step explanation:
The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).
WILLL GIVE ALL MY POINT PLUS MARK BRAILIEST PLS HELP ASAP TY <3
Answers
Answer:
The unknown integer that solves the equation is 6.
Step-by-step explanation:
In order to find the missing number, we can set up an equation as if we are solving for x.
x + (-8) = -2
Add 8 on both sides of the equation.
x = 6
So, the unknown integer is 6.
Answer:
6
Step-by-step explanation:
6 plus -8 is -2
the surface area of the pyramid. The side lengths of the base are equal.
Triangular pyramid with base edge of 8 inches, and a slant height measuring 14 inches, on a triangular face. Apothem goes from the vertex to the midpoint of a base edge and measures 6.9 inches.
Answers
First, let's find the length of the altitude of the triangle formed by the base edge and apothem. We can use the Pythagorean theorem:
a^2 + b^2 = c^2
where a and b are the legs of the right triangle and c is the hypotenuse (slant height).
a = 4 (half of the base edge)
b = 6.9 (apothem)
c = 14 (slant height)
Substituting values:
4^2 + 6.9^2 = 14^2
16 + 47.61 = 196
63.61 = 196 - 16
63.61 = 180.00
√63.61 = 7.98
So the altitude of the triangle formed by the base edge and apothem is approximately 7.98 inches.
Now we can find the area of each triangular face:
Area of one triangular face = 1/2 x base x height
Area of one triangular face = 1/2 x 8 x 7.98
Area of one triangular face = 31.92 square inches
Since there are four triangular faces, the total surface area of the pyramid is:
Total surface area = 4 x 31.92
Total surface area = 127.68 square inches
Therefore, the surface area of the pyramid is approximately 127.68 square inches.
Answer:
the surface area of the triangular pyramid is 227.6 square inches.
Step-by-step explanation:
To find the surface area of the triangular pyramid, we need to calculate the area of the triangular base and the area of each triangular face, and then add them together.
The area of the triangular base can be found using the formula:
Base Area = (1/2) x Base Edge Length x Apothem
Substituting the given values, we get:
Base Area = (1/2) x 8 x 6.9 = 27.6 square inches
To find the area of each triangular face, we can use the formula:
Face Area = (1/2) x Base Edge Length x Slant Height
Substituting the given values, we get:
Face Area = (1/2) x 8 x 14 = 56 square inches
Since the triangular pyramid has 4 faces, we need to multiply the area of each face by 4 to get the total surface area. Therefore, the surface area of the triangular pyramid is:
Total Surface Area = 4 x Face Area + Base Area
= 4 x 56 + 27.6
= 227.6 square inches
So the surface area of the triangular pyramid is 227.6 square inches.
PLEASE HELP!!!
Nevaeh and Christian are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Nevaeh is 650 miles away from the stadium and Christian is 450 miles away from the stadium. Nevaeh is driving along the highway at a speed of 50 miles per hour and Christian is driving at speed of 25 miles per hour. Let NN represent Nevaeh's distance, in miles, away from the stadium tt hours after noon. Let CC represent Christian's distance, in miles, away from the stadium tt hours after noon. Graph each function and determine the number hours after noon, t,t, when Nevaeh and Christian are the same distance from the stadium.
Answers
The linear functions that define their distances are given as follows:
Nevaeh: 650 - 50t.Christian: 450 - 25t.The number of hours after noon in which they will be the same distance away from the stadium is of:
8 hours.
What are the linear functions?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
m is the slope.b is the y-intercept.In the context of this problem, the meaning of each parameter is:
The slope is by how much they get closer each hour, which is the velocity as a negative.The intercept is the initial distance.They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.
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In a new study, Dr Matti Uhari and colleagues at the University of Oulu in Finland, randomly gave 857 healthy children in daycare centers xylitol in syrup, gum or lozenge form, or a placebo gum, syrup or lozenge in five doses per day for 3 months. According to a report in the October issue of the Journal of Pediatrics, the incidence of ear infections were reduced by 40% in children given xylitol chewing gum, 30% in those given syrup and 20% in those given lozenges when compared to children give a placebo. a) is this an observational study or a randomized experiment? b)If this is an experiment, what are the 3 criteria in this case? c) What are the explanatory and response variables? d)If it is an experiment, diagram the randomized comparative experiment.
Answers
(a) Randomized experiment, (b) There are three criteria for a randomized experiment
a) This is a randomized experiment.
b) The three criteria for a randomized experiment are:
Random assignment, the children were randomly assigned to the xylitol or placebo group.
Control group, a placebo group was used as a control.
Manipulation, the children were given different forms and doses of xylitol or placebo.
c) The explanatory variable is the form and dose of xylitol or placebo given to the children. The response variable is the incidence of ear infections.
d) Diagram of the randomized comparative experiment:
Population of healthy children in daycare centers
↓
Random assignment to xylitol or placebo group
↓
Intervention group: given xylitol in syrup, gum or lozenge form
Control group: given a placebo in gum, syrup or lozenge form
↓
Comparison of incidence of ear infections in intervention and control groups
↓
Analysis of results to determine the effectiveness of xylitol in reducing ear infections.
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Need help??? With this question
I don’t think I’m solving it correctly.
Answers
Answer:
116
Step-by-step explanation:
(06.01 LC) The value of 3^3 + 4^2 = ___. (5 points) Answer
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
43
▹ Step-by-Step Explanation
3³ + 4²
= 27 + 16
= 43
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
If a loading ramp is placed next to a truck, at a height of 8
feet, and the inclined portion of the ramp is 17 feet long, what angle (in degrees) does the ramp make with the ground?
Round your answer to one-tenth of a degree.
Answers
The angle that the ramp makes with the ground is approximately 28.07 degrees.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):
Sin(θ) = 8/17
We can use a calculator to find the inverse sin of this ratio to get the angle θ:
θ = sin⁻¹(8/17)
θ ≈ 28.07 degrees
Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.
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Complete the square by adding the correct missing term on the left, then factor as indicated:
Answers
The perfect square in this problem is given and factored as follows:
x² + x + 0.25 = (x + 5)².
What is a perfect square?The perfect square of the sum of two terms is given by the notable product presented as follows:
(x + a)² = x² + 2ax + a².
In the context of this problem, the expression is given as follows:
x² + x +
Then the coefficient a is obtained comparing the above function to the standard function as follows:
x² + x = x² + 2ax.
Then:
2a = 1
a = 0.5.
Hence the final term of the expression is given as follows:
a² = 0.5² = 0.25.
Thus the complete expression is:
x² + x + 0.25.
And the factored expression is of:
(x + 0.5)².
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Dividing fractions word problems, please help I need it........
Answers
Answer:
25
Step-by-step explanation:
l x w = h
25 x 7.2 = 180
