Need help solving this problemNote for part A I got 4/22 and it was incorrect
Answers
First, we need to find the total frequency. This is given by adding all the given frequencies. That is,
[tex]\begin{gathered} f_{\text{total}}=4+6+7+5 \\ f_{\text{total}}=22 \end{gathered}[/tex]and the relative frequency is the division of the frequency of the corresponding interval by the total frequency,
[tex]f_{\text{rel}}=\frac{f_{\text{ interval}}}{f_{total}}[/tex]Therefore, the answers are:
a) 4/22 but written in simple form:
[tex]\frac{2}{11}[/tex]b)
[tex]\frac{5}{22}[/tex]Related Questions
Use the given endpoint R and midpoint M of RS¯ to find the coordinates of the other endpoint S.
R(3, 0), M(0, 5)
Answers
Step-by-step explanation:
the midpoint coordinates between 2 points A and B are
((xa + xb)/2, (ya + yb)/2)
xa = 3
ya = 0
and so we get
(3 + xb)/2 = 0
3 + xb = 0
xb = -3
(0 + yb)/2 = 5
yb = 10
therefore, S = (-3, 10)
professor smith loves dark chocolate, and she would like to find out the proportion of the population that shares her preference. she randomly sampled 150 people, and 120 people choose dark chocolate. to construct a 95% confidence interval, she should use:
Answers
Use 1-Prop Z Int to create a 95% confidence interval.
Z test should be employed because there is only one set of samples collected and the sample size is huge.
An observed percentage is compared to a theoretical one using a one proportion z-test. The test statistic is determined as follows:
z = (p-p0) / √(p0(1-p0)/n)
where:
p = observed sample proportion
p0 = hypothesized population proportion
n = sample size
You can reject the null hypothesis if the p-value associated with the test statistic z is less than your selected level of significance (popular choices are 0.10, 0.05, and 0.01).
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The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are less than 250 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places
Answers
For a random day with the standard deviation, the probability that there are less than 200 shoppers on a random day, is 0.0039.
The average total number of shoppers on a grocery store in 1 day is 506; the standard deviation is 115.
The number of shoppers is normally distributed.
Let, X be the random variable denoting the number of shoppers on a random day.
Then, X follows normal with mean 506 and standard deviation of 115.
Then, we can say that,
Z=(X-506)/115 follows standard normal with mean 0 and standard deviation of 1.
We have to find
P(X<200)
[tex]=P(Z < \frac{200-506}{115})[/tex]
=P(Z<-2.66)
Where, Z is the standard normal variate.
ρ = -0.266
Where, ρ is the distribution function of the standard normal variate.
From the standard normal table, this becomes
=0.0039
For a random day, the probability that there are less than 200 shoppers on a random day, is 0.0039.
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Find the slope of the line that passes through (4,2) and (2,1)
Answers
Given
Points (4,2) and (2,1)
Find
Slope of the line
Explanation
Slope of line is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]so ,
[tex]\begin{gathered} m=\frac{1-2}{2-4} \\ \\ m=-\frac{1}{-2} \\ \\ m=\frac{1}{2} \end{gathered}[/tex]Final Answer
Hence , the slope of line is m = 1/2
elmo makes sandwiches for a fundraiser. for each sandwich he uses globs of peanut butter at per glob and blobs of jam at per blob. the cost of the peanut butter and jam to make all the sandwiches is . assume that , , and are positive integers with . what is the cost of the jam elmo uses to make the sandwiches?
Answers
The cost of the jam Elmo uses to make the sandwiches =$1.65
What is the cost of the jam Elmo uses to make the sandwiches?
B globs of Peanut butter at 4 cents = 4B
J blobs of Jam at 5 cents = 5J
The number of sandwiches is given by the linear equation,
N(4B + 5J ) =$ 2.53
N(4B + 5J ) = 253 cents ---(1)
The factors of 253 = 1, 11, 23, 253.
Since N > 1 , N is 11 or 23
Considering N = 11
11(4B + 5J ) = 253
4B + 5J = 23 ---(2)
The possible values of B and J to satisfy the linear equation:
B = 2 and J = 3
Substituting B and J in (2)
4B + 5J = 23
4 (2) + 5(3) = 23
8 + 15 = 23
23 = 23
The linear equation is verified.
The cost of jam Elmo uses to make the sandwiches =N( 5J)
=11 (5*3)
= 11 *15
= 165 cents or $1.65
The complete question is:
elmo makes N sandwiches for a fundraiser. for each sandwich he uses B globs of peanut butter at 4 cents per glob and J blobs of jam at 5 cents per blob. the cost of the peanut butter and jam to make all the sandwiches is $2.53. assume that B, J, and N are positive integers with N>1. what is the cost of the jam elmo uses to make the sandwiches?
What is a linear equation?
Equations for straight lines are known as linear equations.As a one-degree equation, it also goes by that name. When an algebraic equation is graphed, a linear equation always produces a straight line since each term has an exponent of 1. In one variable and two variables, respectively, there are linear equations.To learn more about linear equations, refer:
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Please help me. Much Appreciated Each part of problem mark as either a, b, c
Answers
Given:
Total number of people surveyed = 205
a) Percentage of the survey respondents that do not like both hamburgers and burritos.
Number of people that do not like both = 54
To find the percentage of the respondents that do not like both, we have:
[tex]\begin{gathered} \text{ \% that do not like both = }\frac{Number\text{ that }do\text{ not like both}}{\text{Total surveyed}}\ast\frac{100}{1} \\ \\ \text{ \% that do not like both = }\frac{54}{205}\ast100\text{ = }26.3\text{ \%} \end{gathered}[/tex]Therefore, the percentage of the survey respondents that do not like both hamburgers and burritos is 26.3%
b) Marginal relative frequency of all customers that like hambugers.
Given:
Number of customers that like hamburgers = 110
To find the marginal relative frequency, we have:
[tex]M=\frac{110}{250}=0.54=54\text{ \%}[/tex]The marginal relative frequency of all customers that like hambugers is 54%
c) Conditional relative frequencies:
i) Conditional relative frequency that a person likes hamburgers given that the person does not like burritos:
[tex]\frac{110-29}{135}=\frac{81}{135}=0.6=60\text{ \%}[/tex]ii) Conditional relative frequency that a person likes burritos, given that the person does not like hamburgers:
[tex]\frac{41}{41+54}=\frac{41}{95}=0.43=43\text{ \%}[/tex]Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the
day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19,
22, 25}
Which equation represents the growth of the puppy?
Select one:
O
O
y = x + 3
y = 3x + 10
y = 10x + 3
y = x + 10
Answers
Equation (B) "y = 3x + 10" represents the growth of the puppy.
What are equations?An equation is a mathematical formula where the "equal to" sign appears between two expressions having the same value. Like 3x plus 5 equals 15, for example. Different types of equations exist, such as linear, quadratic, cubic, and others. The three primary forms of linear equations are the slope-intercept form, standard form, and point-slope form.So, the equation that represents the situation:
The weight increase is: (10, 13, 16, 19, 22, 25)We can observe that every time, there is a rise of 3lbs of weight.Now, let 10 be a constant as the weight is starting from 10 lbs.And 'x' be the number of time Salomon tracks the weight.Then:
y = 3x + 10For example, Salomon checks the weight for the 6th time then:
y = 3x + 10y = 3(5) + 10y = 15 + 10y = 25So, the equation is correct.
Therefore, equation (B) "y = 3x + 10" represents the growth of the puppy.
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The correct question is given below:
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}
Which equation represents the growth of the puppy? Select one:
A. y = x + 3
B. y = 3x + 10
C. y = 10x + 3
D. y = x + 10
Write down the integer values satisfied by this diagram. O -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 n
Answers
Reason:
The diagram describes values between -1 and 3. We exclude -1 because of the open hole. We include 3 because of the closed endpoint.
Find the output when the input is n input 1,2,3,4,n output
-6,-8,-10,-12
Answers
The expression that represents the output value when the input is n is -4 - 2n
How to determine the output value for the input n?From the question, the input parameters are given as
Input 1,2,3,4,n
Similarly, the output parameters are given as
output: -6,-8,-10,-12
So, we have the following table of values
1,2,3,4,n
-6,-8,-10,-12
From the above table of values, we have the following parameters
Sequence type = arithmetic sequenceFirst term, a = -6Common difference, d = -2The output value for the input n is then calculated as
Tn = a + (n - 1) * d
So, we have
Tn = -6 + (n - 1) * -2
Open brackets
Tn = -6 - 2n + 2
Evaluate the like terms
Tn = -4 - 2n
Hence, the output value for the input n is -4 - 2n
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Nicholas was the lucky journalist assigned to cover the Best Beard Competition. He recorded the contestants' beard colors in his notepad. Nicholas also noted if the contestants were signed up for the mustache competition later in the day. Only in the beard competition Also in the mustache competition Red beard 2 5 Grey beard 2 06 2 What is the probability that a randomly selected contestant has a red beard or is only in the beard competition? Sm out Simplify any fractions
Answers
Sample space n(s)=2+2+5+7=16
Let P(E) be the probability of red beard or is only in the beard competition:
Total number of red beard=2+5=7
P(red beard)=2/7
Which equation could represent the relationship shown in the scatterplot?
Answers
Scatter plot with x axis labeled variable x and y axis labeled variable y. Points go from lower left to upper right.
which is true about box plots? group of answer choices boxplots show the number of datapoints between any two values boxplots present the shape of the distribution (density curve) boxplots can involve a categorical variable and a continuous numerical variable boxplots show the size of the data set (number of data points) boxplots visually present the mean and standard deviation boxplots show where the peak of the distribution is
Answers
Box plots present the shape of the distribution (density curve), Box plots can involve a categorical variable and a continuous numerical variable, Box plots show where the peak of the distribution is are the correct statement.
Instead of showing the raw data points, Box Plots takes the sample data and then present the ranges of values based on the quartiles and also display the asterisks for outliers that generally falls outside the whiskers.
Yes, the shape of distribution can be understood from a Box Plot. It can show whether a statistical data set is normally distributed or skewed.
A Box plot is a graph of the distribution that has Continuous variables. It is also applicable for Categorical variables.
Box Plot generally shows the below parameters: Maximum, Minimum, Median, 75th Percentile, 25th Percentile and Interquartile Range.
A size can be determined by using these parameters but is not directly seen in a Box Plot
Generally a Standard Deviation is not visualized by Box Plot. It mainly visualizes Maximum, Minimum, Median, 75th Percentile, 25th Percentile and Interquartile Range.
Yes, the peak of the distribution can be analyzed from Box Plot
Generally for Normal Distribution, Mean = Median and this is the point where the peak is seen.
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ross is camping 4 miles west and 11 miles north (-4,11)
Answers
Using the equation for the distance between two points, the distance between Ross and Rachel is given by the following option:
D. 19 miles.
What is the distance between two points?Suppose that we have two points with coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The shortest distance between them is given by the equation presented as follows:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
This formula is derived from the Pythagorean Theorem, as the points form a right triangle in the xy-plane, and the hypotenuse represents the distance between them.
Their coordinates in this problem are as follows:
Ross: (-4, 11).Rachel: (8, -4).Each unit on the plane represents a mile, hence their distance is given as follows:
[tex]D = \sqrt{(8 - (-4))^2+(-4 - 11)^2}[/tex]
D = 19.2 miles.
Rounded to 19 miles, hence option D is correct.
Missing informationThe complete problem is given by the image at the end of the answer.
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what is the missing measurement (w) for the poster of spongebob.
Answers
To make a poster you have to keep the ratio between lenght and height (otherwise it will look weird)
This is:
[tex]\frac{12\operatorname{cm}}{20\operatorname{cm}}=\frac{w}{36\operatorname{cm}}[/tex]Find the measure of
Answers
Answer: 93°
Step-by-step explanation:
[tex]\angle A \ and\ \angle B\ are\ vertical\ angles.\ Hence,\ \angle A \ = \ \angle B\\\\2x+19=3x-18\\\\2x+19+18=3x-18+18\\\\2x+37=3x\\\\2x+37-2x=3x-2x\\\\37=x\\\\Thus,\ x=37\\\\m\angle A=(2(37)+19)^0\\\\m\angle A=(74+19)^0\\\\m\angle A=93^0\\\\[/tex]
the measure of the angles of a triangle are shown in the figure below. solve for x
64°
x°
40°
Answers
Answer:
Sum of angles in a triangle add up to 180°.
x = 180 - 64 - 40
= 76°
Theorems and Proofs problemIll send a picture of the question
Answers
According to the given information, the reason for the second statement is definition of supplementary angles, this is because the definition of supplementary angles says that the sum of two supplements is 180°.
It means that the answer is B. Definition of supplementary angles.
What is the slope of the line x=4?
O A. 0
O B. Undefined
O C. 4
• D.1
Answers
Answer:
B. Undefined
Step-by-step explanation:
x = 4 is a vertical line, and vertical lines are Undefined because they go straight up.
This line would create a vertical line beginning at the point (4, 0) on a coordinate plane.
Simplify -1(15+4 - 27) over 16
Answers
[tex] \frac{ - 1(15 + 4 - 27)}{16} \\ = \frac{ - 1(19- 27)}{16} \\ = \frac{ - 1( - 8)}{16} \\ = \frac{8}{16} \\ = 0.5[/tex]
ATTACHED IS THE SOLUTION
Answer:
= - 19 + 16^27
Each person gets 3 scoops of ice cream. Is this relationship between the number of people and the number of scoops proportional?
Answers
Yes, the number of scoops proportional.
Define Proportional
A linear relationship between two amounts or variables is indicated by proportionality. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.
Hence, It is proportional. This is because as the number of people increases, the number of scoops also increase.
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what is the answer to 20x + 35y
Answers
The greatest common factor is 5 .
If you factor it out, the expression becomes 5 (4x + 7y) .
Answer: 55x^1 y^1
Step-by-step explanation:
Add 20+35= 55
x & y can't stand by it's self, so x^1 and y^1
So you take those answers and you got 55x^1 y^1
You must keep it in letters in alphabetic order or it's considered wrong.
Select the correct answer.
Which of these graphs represents a function?
A. W
B. X
C. Y
D. Z
Answers
Answer:
The second graph (B: X?)
Step-by-step explanation:
The second graph (B?) is a function because the graphed line passes the vertical line test (no two points are vertically on top of each other).
Question 1 - Write an equation in Standard Form of a line that passes through (-3,-7) and has a slope of 4.
Question 2 - Write an equation in Standard Form of a line that passes through (10,-2) and has a slope of -1/2
Question 3 - Write an equation in Point Slope Form of a line that passes through (-1,8) and has a slope of -3/4
Question 4 - Write an equation in Slope Intercept Form that passes through (-3,11) and (6,-7).
Answers
The equation is, 4x - y = -5
The equation is, x + 2y = 6
The equation is, [tex][tex]y = -\frac{3}{4}x + \frac{29}{4}[/tex][/tex]
The equation is, y = -2x + 5
What is standard form of equation of line?
When A and B are not both zero, a line has the usual form Ax + By = C. The standard form of equation with slope and the point is,[tex][tex]y - y_{1} = m(x - x_1)[/tex][/tex] ...(1)
1. Given:[tex][tex]x_1 = -3, y_1 = -7, m = 4[/tex][/tex]
Plug these values in the above equation,
[tex][tex]y - (-7) = 4(x - (-3)\\ y + 7 = 4(x + 3)\\\\y + 7 = 4x + 12\\y = 4x + 5\\\\4x - y = -5[/tex][/tex]
This is the equation in standard form of line.
2. Given:
[tex][tex]x_1 = 10, y_1 = -2, m = -\frac{1}{2}[/tex][/tex]
Plug these values in the equation (1),
[tex][tex]y - (-2) = -\frac{1}{2} (x - 10)\\y + 2 = -\frac{1}{2} x + 5\\[/tex][/tex]
Multiply both sides by 2.2y + 4 = -x + 10x + 2y = 6
This is the equation in standard form of line.
3. Given:
[tex][tex]x_1 = -1, y_1 = 8, m = -\frac{3}{4}[/tex][/tex]
Plug these values in the equation (1),[tex][tex]y - 8 = -\frac{3}{4}(x - (-1))\\ y -8 = -\frac{3}{4}(x + 1)\\ y - 8 = -\frac{3}{4}x - \frac{3}{4}[/tex][tex]y = -\frac{3}{4}x -\frac{3}{4} + 8\\ y = -\frac{3}{4}x + \frac{29}{4} \\[/tex][/tex]
This is the equation in point slope form.
4. Given:[tex][tex](x_1, y_1) = (-3, 11), (x_2, y_2) = (6, -7)[/tex][/tex]
First to find the slope from the given two points.
[tex][tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{-7-11}{6-(-3)}\\ m = \frac{-18}{9\\}\\ m = -2[/tex][/tex]
Now plug m = -2 and one of the given point in the equation (1), we ge[tex]t[tex]y - 11 = -2(x - (-3))\\y - 11 = -2(x + 3)\\y - 11 = -2x - 6\\y = -2x + 5[/tex][/tex]
This is the equation in slope intercept form.
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For f(x) = 2x² - 1, what is (f. f)(−2)?
(See image below)
Answers
f is 7. The process of composing small units into larger units that solve larger problems is known as composition.
What is Composition function?A function composition is an operation that produces a new function, h, by combining two functions, f and g, in such a way that h(x) = g(f(x)). That is, function g is being applied to function x.In essence, one function is applied to the output of another. A composite function is one that is reliant on another.A composite function is created when one function is substituted for another. For example, f(g(x)) is the composite function formed by replacing x in f with g(x) (x). The expression f(g(x)) is pronounced "f of g of x."Therefore,
f = 2 (-2)² - 1 : f = 7
Steps
f = 2 (-2)² - 1
2 (-2)² =2³
f = 2³-1
2³ = 8
f = 8-1
Subtract the numbers:
8 - 1 = 7
f = 7
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A and B are complementary angles. If mA = (2x +27)° and mB =
(2x-21), then find the measure of A.
Answers
Answer:
mA = 69 degrees
Step-by-step explanation:
A complementary angle has a measure of 90 degrees.
(2x + 27) + (2x - 21) = 90
Simplify
4x + 6 = 90
-6
4x = 84
/4
x = 21
mA: 2(21) + 27 = 69
Answer:
A = 69°
Step-by-step explanation:
Complementary angles sum 90°
A + B = 90°
(2x + 27) + (2x-21) = 90°
4x + 27 - 21 = 90°
4x + 6 = 90°
4x = 90 - 6
4x = 84°
x = 84°/4
x = 21
Then A:
A = 2x + 27
A = 2*21 + 27
A = 42 + 27
A = 69°
B = 2x - 21
B = 2(21) + 27
B = 42 - 21
B = 21°
Check:
69 + 21 = 90
Add −1 3/10+2/5 using the number line.
Select the location on the number line to plot the sum.
Answers
The location on the number line to plot the sum of the given number is shown in the image attached below.
What is a number line?In Mathematics, a number line simply means a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.
Note: Each interval on this number line represents 1/10.
Next, we would add the given numbers together as follows:
Number = −1 3/10 + 2/5
Number = −13/10 + 2/5
Number = (-13 + 4)/10
Number = -9/10 or -0.9.
Therefore, the sum would be located between -4/5 and -1.
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Hello can you help me on my 7th grade math worksheet show all work
Answers
ANSWER:
78.5 ft
STEP-BY-STEP EXPLANATION:
One trip equals the circumference of the circle.
The circumference of a circle is calculated by means of the following formula:
[tex]\begin{gathered} c=\pi\cdot d \\ \\ d=\text{ diameter = 25 ft} \end{gathered}[/tex]Therefore, we substitute and calculate the distance the pony would walk for a trip:
[tex]\begin{gathered} c=(3.14)(25) \\ \\ c=78.5\text{ ft} \end{gathered}[/tex]That is, the number of feet the pony walks is 78.5
4.2(2) question 7 thankThe function f(x) = 3(x+15)² - 50
Answers
Domain are the inputs of the function. They are the x values of the function
The function gives a parabola. This means the values of x will be from negative infinty to positve infinity
[tex]\begin{gathered} In\text{ interval notation:} \\ \text{Domain: (}-\infty,\text{ }\infty)\text{ (option D)} \end{gathered}[/tex]Plotting the graph:
Range are the outputs of the function. They are the y values of the function
From the graph, we see tip of the parabola starts at y = -50 and extends upwards
The y value will be from -50 to positive infinity
[tex]\text{Range: \lbrack-50, }\infty)\text{ (option C)}[/tex]Find the circumcenter of the triangle ABC.
A(-5, -6), B(-8,6), C(-5,6).
The circumcenter is
(Type an ordered pair)
Answers
Answer: a b C D
Step-by-step explanation:
you are playing a game of hide - and - seek with two friends . while one of your friends counts , you and your other friend are given a chance to hide in one of five possible hiding spots . you are each allowed to pick a hiding spot , and are permitted to share a hiding spot . your friend finishes counting and checks one of the five hiding spots . assuming that everyone's decisions are made uniformly at random , what are the chances that your friend does not find anyone in the first spot that they check ?
Answers
The probability the friend finds no one in the first spot is 60%.
What is probability?Probability is the chance or likelihood that an expected event occurs when there are many possible outcomes or events.
For instance, the probability that when the counting friend goes to the hiding spot, they can or cannot find a friend there.
The two friends can only hide in 2 spots, leaving 3 spots with nobody.
The number of hiding spots = 5
The number of friends hiding = 2
The number of counting friends = 1
The number of spots they can hide = 2 out of 5
The probability of finding a person in a hiding spot = 2/5 or 40%
The probability of not finding a person in a hiding spot = 3/5 (1 - 2/5) or 60% (1 - 40%).
The chances that your friend finds anyone in the first spot are 60%.
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