An report describes a survey of 251 adult Americans. Participants in the survey were asked how often they change the sheets on their bed and were asked to respond with one of the following categories: more than once a week, once a week, every other week, every three weeks, or less often than every three weeks. For this group, 11% responded more than once a week, 51% responded once a week, 26% responded every other week, 5% responded every three weeks, and 7% responded less often than every three weeks.
(a) Use the given information to make a relative frequency distribution for the responses to the question. How Often? Relative frequency
More than once a week Once a week Every other week Every three weeks Less often than
every three weeks
More than once a week: 0.11
Once a week: 0.51
Every other week: 0.26
Every three weeks: 0.05
Less often than every three weeks: 0.07
Relative Frequency Survey ResultsTo make a relative frequency distribution, follow these steps:
Count the number of occurrences of each category in the data. In this case, 11% of the 251 participants responded "more than once a week", so the number of occurrences for this category is 0.11 * 251 = 27.61 (rounded to 28). Similarly, 51% of the participants responded "once a week", so the number of occurrences for this category is 0.51 * 251 = 127.51 (rounded to 128). And so on for the other categories.
Divide the number of occurrences for each category by the total number of participants. In this case, the total number of participants is 251, so the relative frequency for "more than once a week" is 28 / 251 = 0.11. The relative frequency for "once a week" is 128 / 251 = 0.51. And so on for the other categories.
And that's it! These are the relative frequencies for each category in the data.
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no links :) thank you if your helping me :)
Answer:
$101.70
Step-by-step explanation:
45(0.06) = 2.7 + 45 = 47.7
45(.20) = 9 + 45 = 54
54 + 47.7 = 101.70
Find the x- and y-intercepts of the graph of -10x+4y=20. State each answer as an integer or an improper fraction in simplest form.
Answer:
x intercept - (-2,0)
y intercept (0,5)
Step-by-step explanation:
I hope this helps!
In •A find CE if BA=7.35.
The value of CE is 14.7 units.
What if the diameter of a circle?The diameter of a given circle is a straight line which passes through the center of the circle and divides it into two equal semi-circles.
So that in the given circle with center A, we have;
CE = BD (diameter of a given circle)
BA = EA = CA = DA (radius of a given circle)
CE is the diameter of the circle, and BA is the radius, so that;
CE = 2*BA
= 2*7.35
= 14.7
CE = 14.7
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A cylinder with a radius of 3 cm and height h cm. If the volume is 75cm³ what is the value of h?
Answer:
h≈2.65cm
r Radius
3
cm
V Volume
75
cm³
Using the formula
V=πr2h
Solving forh
h=V
πr2=75
π·32≈2.65258cm
hope it's help ful
The article "Determination of Most Representative Subdivision" gave data on various characteristics of subdivisions that could be used in deciding whether to provide electrical power using overhead lines or underground lines. Data on the variable x = total length of streets within a subdivision are as follows.
1280 5320 4390 2100 1240 3060 4770 1050 360 3330 3380 340 1000 960 1320 530 3350 540 3870 1250 2400 960 1120 2120 450 2250 2320 2400 3150 5700 5220 500 1850 2460 5850 2700 2730 1670 100 5770 3150 1890 510 240 396 1419 2109
(a) Fill in a stem-and-leaf display for these data using the thousands digit as the stem. Do not truncate numbers. For example, number 2380 has stem-"2" and leaf-"380". (Enter solutions from smallest to largest. Separate the numbers with spaces.)
0 100 240 340 360 396 396 450 500 510 530 540 960 960
(b) Fill in the table below. (Round your answer to four decimal places if needed.)
Class Interval Frequency Relative Frequency
0 - <1000
2000 - < 3000
4000 - < 5000
5000 - < 6000
(c)
What proportion of subdivisions has total length less than 2000?
What proportion of subdivisions has total length between 2000 and 4000? (Round your answer to four decimal places if needed.)
a) The data is not symmetric
b) The complete table:
Class interval Frequency Relative Frequency
0-1000 12 0.255319151000-2000 11 0.234042552000-3000 10 0.212765963000-4000 7 0.148936174000-5000 2 0.04255319 5000-6000 5 0.10638298c) Proportion of subdivisions has total length less than 2000 is 0.49
Proportion of the subdivisions has total length between 2000 and 4000 is 0.36
a) To draw the stem and leaf plot we take the thousandth place digit as stem and the leaf is obtained by remaining digits.
Stem Leaf
0 360, 340, 960, 530, 540, 960, 450, 500, 100, 510, 240, 3961 280, 240, 050, 000, 320, 250, 850, 670, 890, 4192 100, 400, 120, 250, 320, 400, 460, 700, 730, 1093 060, 330, 380, 350, 870, 150, 1504 390, 7705 320, 700, 220, 850, 770The data is not symmetric
b) To draw the histogram first we form the frequency distribution and the relative frequency using the formula
Relative Frequencies are given by
Relative frequency = Frequency / Total frequency
Class interval Frequency Relative Frequency
0-1000 12 0.255319151000-2000 11 0.234042552000-3000 10 0.212765963000-4000 7 0.148936174000-5000 2 0.04255319 5000-6000 5 0.10638298= 47
Histogram attached at end of solution
The histogram is approximately positively skewed.
c) Proportion of lengths less than 2000 = sum of relative frequency from 0 to 2000
= 0.26 + 0.23
Proportion of subdivisions has total length less than 2000 = 0.49
Proportion of length between 2000 and 4000 = sum of relative frequency between 2000 and 4000
= 0.21 + 0.15
Proportion of the subdivisions has total length between 2000 and 4000 = 0.36
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What’s the correct answer for this question?
3a and a+a+a
plssss help me on this question
Answer:
a + a + a = 3a
Step-by-step explanation:
let me know if there is more to the question
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
D. G(x) = |x| + 7
Step-by-step explanation:
→For the function G(x) to shift upwards, there needs to be a number being added to the whole function.
→The answer isn't "A," because the 1 is being subtracted, making it shift downwards 1 unit, not upwards.
→The answer isn't "B," because adding the 2 there would cause the function to shift to the left for 2 units, not upwards.
→The answer isn't "C," because 10 is being multiplied, which would cause the function to narrow, and not shift upwards.
This means the correct answer is "D," because the 7 is being added, making the function shift upwards 7 units.
Photo attached please help
The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y > −2x + 10 y > 1 over 2x − 2
The shaded area represents the solution of the inequalities. Hence, points A, C, D and K are the solution of the system.
How to graph system of inequalities?Get y first when graphing a linear inequality with two variables, such as x and y alone on one side. Then, take into account the associated equation that was created by switching the inequality sign for an equality sign. This equation has a line as its graph.
The last step is to choose a point that is not on either line (usually (0, 0) is the simplest) and determine whether or not these coordinates satisfy the inequality. If so, shade the portion of the half-plane that contains that point. If not, shade the opposite half-plane.
Create a comparable graph for each of the system's inequalities. The place where all of the system's solutions overlap is known as the system's solution.
Given that, the inequality is:
y ≤ −2x + 10 & y > 1/(2x − 2)
The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2), F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).
The shaded area represents the solution of the inequalities.
Hence, points A, C, D and K are the solution of the system.
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The complete question is:
The graphs of functions fand g are shown.
Function g is defined as g(x) = f(x) - C. What is the value of c?
The value of c?
Answer:
c = 3
Step-by-step explanation:
Function g is defined as,
g(x) = f(x) - c
Which states that the image function 'g' is formed by shifting function 'f' by c units down along y-axis.
Since, function 'f' has been shifted 3 units down to form the image function 'g'.
Therefore, value of c = 3 will be the answer.
Answer:
Step-by-step explanation:
For all Plato users
PLEASE HELP CANT FAIL
A box contains 6 green marbles, 4 blue marbles, and 7 orange marbles. Without replacing the first marble, what is the probability of selecting TWO green marbles? Give answer as a percentage.
Answer:
approx 11.03%
Step-by-step explanation:
There are 17 marbles for the first selection. (6 + 4 + 7 = 17)
The probability of selecting a green marble is 6/17.
We are NOT replacing the marble.
Now we have 16 marbles left, and 5 greens are left.
So the probability of taking a green for this 2nd draw GIVEN that we already drew a green & didn't replace it is 5/16.
So multiply the two events:
(6/17) x (5/16) = 15/136 = =0.1102941176 =approx 11.03%
6x + 45 is less than or equal to 240
Answer: neither
Step-by-step explanation:
To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.
А
5 m/s
2 m/s
A-B = ?
The correct answer is C. You've got that right.
Write an algebraic equation for the following.
Three times the sum of a number and seven is two less than five times the number.
Answer:
We dissect each statement from the problem above to fully understand it.
the sum of a number and 7 is (x + 7)
3 times this is 3(x + 7)
is means the equal sign here 3(x + 7) =
Two less then 5 times the number is 5x - 2.
Therefore, the answer is B, 3(x + 7) = 5x - 2
A car shop has 12 mechanics, of whom 8 can work on transmissions and 7 can work on brakes. a) What is the minimum number who can do both? b) What is the maximum number who can do both? c) What is the minimum number who can do neither? d) What is the maximum number who can do neither?
Answer:both a and b are correct
Step-by-step explanation:
Please help and explain to me this. Ive been having difficulty in this
Answer:
The measure of angle DAC is 53 degrees.
Step-by-step explanation:
To solve for the measure of angle DAC, start by realizing that the total measure of angle DAB is 90 degrees. The total measure of angle DAB is 90 degrees because there is a 90 degree box symbol representing angle DAB.
Now that the overall measure of angle DAB is known, we can look at the question, which says that the measure of angle CAB is 37 degrees. By knowing one of the angles in the total 90 degree angle, angle DAC can be found.
To find by the measure of angle DAC, start by writing an equation. The equation will look like:
the measure of angle DAC + the measure of angle CAB = the measure of angle DAB
Next, fill the equation in with the information given from the problem. The measure of angle DAC will be given the variable (x) since the measure of the angle is unknown. The equation will look like x+ 37 degrees= 90 degrees.
To solve the equation, subtract 37 degrees from both sides to get x by itself. Then, simplify the equation, and the final answer will be 53 degrees.
The measure of angle DAC is 53 degrees.
Ted and Katie have saved up a total of $94. Ted has saved 6 dollars less than 4 times as much as Katie. How much has Katie saved
Let
Kettie saved be xTed saved=4x-6ATQ
\(\\ \sf\longmapsto x+4x-6=94\)
\(\\ \sf\longmapsto 5x-6=94\)
\(\\ \sf\longmapsto 5x=94+6\)
\(\\ \sf\longmapsto 5x=100\)
\(\\ \sf\longmapsto x=\dfrac{100}{5}\)
\(\\ \sf\longmapsto x=20\)
Answer:
$20
Step-by-step explanation:
T is Ted
K is Katie
T+K=94.
T=4K-6
I mostly just tried a bunch of numbers.
To check:
T+20=94
T=74
74=4(20)-6
74=80-6
74=74
I hope this helps!
pls ❤ and give brainliest pls
What is the answer to the question??
Answer:you need to show the diagram in order for me to
Step-by-step explanation:
Tammy and Leslie are best friends, and
for the past five years they have been
keeping track of their heights. Tammy
can model her height using the
equation, y = 2.2x + 35.5, where y
represents her height at x years of age.
Leslie plotted her height versus age on
the graph shown below.
At the age of 9, who was taller?
Tammy was taller at age 9, as she was 3.68 inches taller than Leslie.
EquationsGiven that Tammy can model her height using the equation, y = 2.2x + 35.5, where y represents her height at x years of age, while Leslie measured 50 inches at age 9, to determine who was taller at that age one must perform the following calculation:
Leslie = 50Tammy = 2.2 x 9 + 35.5 = 18.18 + 35.5 = 53.68Therefore, Tammy was taller at age 9, as she was 3.68 inches taller than Leslie.
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Answer:
Tammy was taller at age 9, as she was 3.68 inches taller than Leslie.
Step-by-step explanation:
Please I need help on this question
Answer:
the answer is d bro
Step-by-step explanation:
yo the answer is d I think if I get this wrong sorry
An angle measures 9.2° less than the measure of its complementary angle.
What is the measure of each angle?
Answer:
smaller angle - 40.4 degrees
larger angle - 49.6 degrees
check attachment for steps
pls Mark as brainliest
Could someone please help me with these 2 questions?
Answer:
#1 -5
Step-by-step explanation:
Question 16 of 22 -
MYA-Math-Alg1-CBT-2020-2021: Section 1
Question: 1-16
In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of feet that the top of the bridge w
minutes that the drawbridge was open.
40
30
Feet Above Water
20
10
+
1
2
3
4
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the rate of change over these intervals. Complete th
drawbridge (in feet per minute) at each of the specified intervals.
-25 -12.5-5 -2.50 2.5 5 12.5 25
Answer:
25, 0, -12.5
Step-by-step explanation:
See attached
Rate of change is:
Interval 0 - 1 min
(40-15)/(1-0) = 25/1 = 25Interval 1 - 2 min
(40 - 40)/(2-1) = 0/1 = 0Interval 2- 5 min
(15 - 40)/(4-2) = -25/2 = -12.5Se desea estimar el ingreso familiar medio de los padres de familia de un barrio
de Arequipa con un error no exceda a 10 nuevos soles. ¿Qué tamaño, como
mínimo, debe tener la muestra para que la media sea estimada con una precisión
del 95%, si se sabe que la desviación estándar de los salarios mensuales es de 50
nuevos soles?
Using the z-distribution, it is found that a sample size of 97 is required.
What is a z-distribution confidence interval?The confidence interval is as follows:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
The margin of error is given by the following rule:
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.z is the critical value.n is the sample size.\(\sigma\) is the standard deviation for the population.For this problem, considering a margin of error of 10, the parameters are given by:
\(M = 10, \sigma = 50\)
The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
Then we take the margin of error equation and solve for n as follows:
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(10 = 1.96\frac{50}{\sqrt{n}}\)
\(10\sqrt{n} = 50 \times 1.96\)
\(\sqrt{n} = 5 \times 1.96\)
\((\sqrt{n})^2 = (5 \times 1.96)^2\)
n = 96.04
Rounding up, as a sample size of 96 results in M > 10, we have that:
A sample size of 97 is required.
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If y = 5x + 1 is changed to y = 2x +
1, how would the graph of the new function compare with the first one?
Answer Choices:
It would be steeper.
It would be shifted down.
It would be less steep.
It would be shifted left.
The graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.
Thus, the correct option is: It would be less steep.
What is graph?In mathematics, a graph is a visual representation of a set of objects where some pairs of the objects are connected by links. The objects, which are usually represented by points, are called vertices or nodes, and the links, which are usually represented by lines or arcs, are called edges.
The original function y = 5x + 1 has a slope of 5, which means that for every 1 unit increase in x, y increases by 5 units.
The new function y = 2x + 1 has a slope of 2, which is less steep than the slope of the original function.
However, the y-intercept of both functions is the same, which is 1.Therefore, the graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.
Thus, the correct option is: It would be less steep.
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Us the information above to answer the following questions: What does the acronym VAT stand for? How many items on the till slip are zero rated? Give a reason why the items are zero rated. 13 If Mr Se hole decides to buy at a later stage 6 kg of rice (packed and priced in the same way as on the till slip), what will he pay for the rice? Mr Sethole states that he paid R23,99 for playboy deodorant (150 ml). Is Mr Sethole's staten ent correct? Do all the necessary calculations to support your answer. Show how the VAT amount of R17,36 was calculated. Hence, calculate the total cost excluding VAT.
Answer:
A food manufacturer may use zero-rated goods in the manufacturing of a food product, but when the consumer buys the final product, it includes a VAT.
Step-by-step explanation:
Find the slope and the y-intercept of the line y=6x-3
Answer:
-18
Step-by-step explanation:
y=6x-3
6x-3=-18
-18=6x-3
Answer:
intercept: -3
slope: 6
Step-by-step explanation:
The number in the back and the operations are the y-intercept and the number multiplied by x is the slope.
-5 = -36 / m + m
pls help me with this question hurry
This is 6 grade work
The solution of the given quadratic equation -5 = -36 / m + m is,
m = - 9 or m = 4
The given equation is
-5 = -36 / m + m
After re arranging it we get,
m² + 5m - 36 = 0
This is nothing but quadratic equation,
Since we know that,
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
So now we can write,
⇒ m² + 9m - 4m - 36 = 0
⇒ m(m + 9) - 4(m + 9) = 0
⇒ (m + 9)(m - 4) = 0
Therefore,
⇒ (m + 9) = 0 or (m - 4) = 0
⇒ m = - 9 or m = 4
Thus,
The solution of the given expression is
m = - 9 or m = 4
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