A pretzel maker was interested in knowing the number of pretzels in each bag it sold. The results of their research are shown in the box-and-whisker plot. What is the median number of pretzels?
Answers
The median number of pretzels is 54.
What is Box and whisker plot?The lower and upper quartiles are represented by the left and right sides of the box in a box and whisker plot. The box encompasses the interquartile interval, which contains 50% of the data. The median is the vertical line that divides the box in half. On the box plot, the mean is sometimes shown by a dot or a cross.
From the given box plot we can have the following information:
Minimum = 45
Lower Quartile = 47
Median= 54
Upper Quartile= 61
Maximum = 68
Thus, the Required median is 54.
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Related Questions
The amount of money that high school students spend on fast food each month is usually between $50 and $200. However, there are a few students who do not eat fast food at all. What measure of spread would be most appropriate to measure the amount of money that high school students spend on fast food per month? Mean Interquartile range Range Standard deviation
Answers
The measure of spread that would be most appropriate to measure the amount of money that high school students spend on fast food per month is the range.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The amount of money that high school students spend on fast food each month can vary between $50 and $200, there is a considerable range of possible values.
Additionally, some students may not eat fast food at all, which could further increase the variability in the data.
The range is the difference between the maximum and minimum values in a dataset and provides a simple and straightforward measure of the variability of the data.
Therefore, the measure of spread that would be most appropriate to measure the amount of money that high school students spend on fast food per month is the range.
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Find a polynomial with integer coefficients that satisfies the given conditions degree 3 with roots 9 2 and 0
Answers
We first make x(x-2)(x-9) and then we expand it.
What is the volume of three cubes with a side length of 1/3 and V=s cubed
Answers
S= 1/3
V = 1/3^3
V = 1/27 cubic unites each
3 cubes = 1/27 x 3 = 3/27 = 1/9 cubic units total
If the area of a circle below is 18ft, what is the area of the shaded sector?
Answers
Area/4 = Shaded
18/4 = Shaded
4.5 = Shaded
Hope this helps!
Answer: It’s definitely 4.5, so D! Hope this helps someone! :>
As the weight of purchased items increases, the shipping charges increase, as shown in the table below. Weight, in oz Total Shipping Cost not more than 5 $9.50 more than 5, not more than 10 $13.25 more than 10, not more than 15 $17.00 more than 15, not more than 20 $20.75 Assuming only positive domain values, which statement is true of the graph that represents the data in the table? Beginning at 5 ounces, the graph is discontinuous at every fifth integer of the domain. The range values graphed for the set of data are $10, $14, $17, and $21. For every 1 ounce increase in weight, the total shipping cost increases by $3.75. The left side of each horizontal interval is a closed circle, and the right side is an open circle.
Answers
It is a step function; there is not a continuous increase between values. The shipping level is fixed for each price, then jumps to the next tier. This will be a discontinuous graph.
Need help on this!!!
Answers
Area of the base of the prism: Ab=Area of the equilateral triangle
Height of the prism: h=6
Ab=A triangle= sqrt(3)/4*s^2
Ab=sqrt(3)/4*3^2
Ab=sqrt(3)/4*9
Ab=9 sqrt(3)/4
V=Ab*h
V=[9 sqrt(3)/4](6)
V=54 sqrt(3) /4
V=27 sqrt(3) / 2
V=27/2 sqrt(3)
Subtract. Write your answer in simplest form. 5 1/2 - 1 2/7
Answers
Anyone know the answer?
Answers
Danny decided to invest his $500 tax refund rather than spending it. He found a bank that would pay him 4% interest, compounded quarterly. If he deposits the entire $500 and does not deposit or withdraw any other amount, how long will it take him to double his money in the account? Round your answer to the nearest tenth of a year. It will take Answer years for his investment to double.
Answers
Future value, FV = 2*PV = 2*500 = $1,000
Rate, r = 4% = 0.04
Compounding times in a year, n = 4 (compounded quarterly)
Time, t = ??
The future value expression is stated as:
FV = PV (1+r/n)^nt
Substituting;
1000 = 500 (1+0.04/4)^4t
2 = (1.01)^4t
ln 2 = 4t ln 1.01
0.6931 = 4t* 0.00995
0.6931 = 0.0398t
t = 17.414 years
Time required for the amount to double is 17.41 years.
what is the coefficient of x^5y^5 in the expansion of (x+y)^10
Answers
The coefficient of the term would be 252. Make sure you combine after every step to be sure that you group all like terms.
Answer:
The answer is option C= 252
Step-by-step explanation:
To get the coefficient of [tex]x^{5}y^{5}[/tex] we will put r = 5, in the below given general term.
The general term is : nCr [tex]x^{r}[/tex] [tex]y^{n-r}[/tex]
We get:
Coefficient is = 10C5 = [tex]\frac{10!}{5!*5!}[/tex]
= 252
So, option C is correct.
HK is the perpendicular bisector of GJ find KJ
Answers
25=x when simplified
Answer:
its 60
Step-by-step explanation:
Which expression is equivalent to (x2 – 3x)(4x2 + 2x – 9)?
A. x2(4x2 + 2x – 9) – 3x
B. x2(4x2 + 2x – 9) – 3x(4x2 + 2x – 9)
C. x2(4x2 + 2x – 9) + 3x(4x2 + 2x – 9)
D. x2(4x2 + 2x) – 3x(2x – 9)
Answers
Answer:
B. [tex]x^2(4x^2 + 2x -9) -3x(4x^2 + 2x - 9)[/tex]
Step-by-step explanation:
The distributivity establish that in order to multiply these two polynomials, first you have to multiply [tex]x^2[/tex] by every element in [tex]4x^2 + 2x - 9[/tex] and then multiply [tex]-3x[/tex] by every element in [tex]4x^2 + 2x - 9[/tex] as well.
That is exactly what the option B. says, since
in the expresion [tex]x^2(4x^2 + 2x - 9) - 3x(4x^2 + 2x - 9)[/tex] [tex]x^2[/tex] is being multiplied by every element in [tex](4x^2 + 2x - 9)[/tex] and also [tex]-3x[/tex] is being multiplied by every element in [tex](4x^2 + 2x - 9)[/tex].
Your test scores in one class are 82 and 88. What possible scores can you earn on your next test to have a test average between 85 and 90, inclusive?
Answers
To have a test average between 85 and 90, inclusive, the scores on the next test should be greater than or equal to 85 and less than or equal to 100.
Explanation:To have a test average between 85 and 90, inclusive, you need to find the possible scores on your next test. Let's assume the score on the next test is x. Then, the average of all three tests can be calculated as (82 + 88 + x) / 3. Now, we can set up an inequality to find the possible values of x:
(82 + 88 + x) / 3 ≥ 85 and (82 + 88 + x) / 3 ≤ 90
Simplifying each inequality, we get:
170 + x ≥ 255 and 170 + x ≤ 270
Subtracting 170 from both sides, we have:
x ≥ 85 and x ≤ 100
Therefore, the possible scores you can earn on your next test to have a test average between 85 and 90, inclusive, are any scores greater than or equal to 85 and less than or equal to 100.
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Find the probability for the experiment of tossing a six-sided die twice. the sum is less than 7
Answers
Answer = 15/36 = 5/12
Final answer:
The probability of getting a sum less than 7 when rolling a six-sided die twice is 5/12. There are 15 possible outcomes where the sum is less than 7 out of 36 total outcomes.
Explanation:
The question asks for the probability that the sum of the numbers shown by rolling a six-sided die twice is less than 7. To find this probability, we need to consider all the possible outcomes of rolling two dice.
Each die has 6 faces, so when you roll two dice, there are a total of 6 x 6 = 36 possible outcomes. To get the sum less than 7, we can have the following combinations:
(1,1) Sum = 2
(1,2) Sum = 3
(2,1) Sum = 3
(1,3) Sum = 4
(2,2) Sum = 4
(3,1) Sum = 4
(1,4) Sum = 5
(2,3) Sum = 5
(3,2) Sum = 5
(4,1) Sum = 5
(1,5) Sum = 6
(2,4) Sum = 6
(3,3) Sum = 6
(4,2) Sum = 6
(5,1) Sum = 6
Adding up the number of outcomes, there are 15 possibilities where the sum is less than 7. Therefore, the probability is 15 out of 36. This simplifies to 5/12 when reduced to its simplest form.
So, the probability of getting a sum less than 7 when rolling a six-sided die twice is 5/12.
Tony makes an hourly salary of 15.40 for 40 Regular hours of work. For any time work beyond 40 hours, he is paid at a rate of time and a half per hour. Last week, Tony worked 46 hours. Find each of the following for this period.
Answers
Part (1):
We know that:For the first 40 hours, Tony is paid $11.5 per hour For additional hours,Tony is paid 1.5 * 11.5 = $17.25 for each hourLast week he worked 46 hours.Therefore:he got the normal payment of $11.5 for the first 40 hourshe got the special payment of $17.25 for the extra 6 hoursThis means that:Total amount he gained = 40(11.5) + 6(17.25) = $563.5This means that, before removing any taxes or insurances, Tony had a payment of $563.5
Part (2):
We are given that the social security tax is 6.2% of the amount he gained.
Therefore:
social security tax = 6.2% * 563.5
social security tax = 0.062 * 563.5
social security tax = $34.937
Part (3):
We are given that the medicare tax is 1.45% of the amount he gained.
Therefore:
medicare tax = 1.45% * 563.5
medicare tax = 0.0145 * 563.5
medicare tax = $8.17075
Part 4):
To get the amount that Tony has after all the taxes are paid, we will simply subtract the amount of taxes from what he originally gained as follows:final amount gained = 563.5 - (34.937+8.17075)final amount gained after taxes = $520.39225
Hope this helps :)
Tony's total earnings for the week are $754.60, which includes his regular pay for 40 hours at an hourly rate of $15.40 and overtime pay for 6 extra hours at a rate of time and a half.
Explanation:The subject of this question is Mathematics, specifically, it involves calculations relating to wage and overtime pay.
Calculating Regular and Overtime Pay
Tony earns an hourly wage of $15.40 for regular hours and is paid at a time and a half rate for any hours worked beyond 40 hours. Since he worked 46 hours last week, we can calculate his earnings as follows:
Calculate regular pay for 40 hours: 40 hours × $15.40 = $616.00.
Calculate the overtime pay rate: $15.40 × 1.5 = $23.10 per hour.
Calculate overtime pay for 6 hours: 6 hours × $23.10 = $138.60.
Add regular pay and overtime pay to get total earnings: $616.00 + $138.60 = $754.60.
Therefore, Tony's total earnings for the week, including overtime, are $754.60.
A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
Answers
Answer:
Difference in cash and plan = $155 - $149.50 = $5.50
Interest Rate = 3.68%
Step-by-step explanation:
Given:A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
A food processor by cash = $149.50
Payment plan = Down payment + $10*15 months
= $5 + $10*15
= $5 + $150
Payment plan = $155
Difference in cash and plan = $155 - $149.50 = $5.50
Now we have to find the interest rate
= (difference/original)*100
= (5.50/149.50)*100
Interest Rate = 3.68%
Answer:
Step-by-step explanation:
The distance between the y value in the data and the y value predicted from the regression equation is known as the residual. what is the value for the sum of the squared residuals
Answers
B. SS = (1-r²)(SS_x)
C. SS = r²(SS_y)
D. SS= (1-r²)(SS_y)
The residual sum is given in the picture below so it is D which is correct.
The value for the sum of the squared residuals is SS(residuals) = (1 - r²) SS(y).
What is meant by Residual Value?Residual value is defined as the difference of the value that we predicts with that of the observed value.
Given that,
The distance between the y value in the data and the y value predicted from the regression equation is known as the residual.
Sum of the squared residuals is used to measure the variance level in a regression model.
We know that,
r² = 1 - [SS(residuals) / SS(total)]
[SS(residuals) / SS(total)] = 1 - r²
SS(residuals) = (1 - r²) SS(total)
SS(residuals) = (1 - r²) SS(y)
Hence the value is SS(residuals) = (1 - r²) SS(y).
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Use logarithms to solve each equation 2x9/8=111
Answers
[tex]2x^{\frac{9}{8}} = 111[/tex]
and we need to find the value of x.
First of all, we multiply the whole equation for 1/2, so our goal is to isolate x, therefore:
[tex]x^{\frac{9}{8}}=\frac{111}{2}[/tex]
Next step we must do is to apply logarithms:
[tex]logx^{\frac{9}{8}} = log(\frac{111}{2})[/tex]
Next, we have to apply identities and then to solve the equation:
[tex] \frac{9}{8}logx = log(\frac{111}{2})[/tex]
[tex]logx = \frac{8}{9}log(\frac{111}{2})[/tex]
[tex]logx = 1.5504[/tex]
[tex]10^{logx} = 10^{1.5504}[/tex]
Finally, we have the value of x which was our goal. This is the answer for the question above:
[tex]x= 35.5140[/tex]
In ΔMNP, what is the measure of < N?
20 degrees
46 degrees
64 degrees
76 degrees
Answers
Answer:
76
Step-by-step explanation:
When fractions share the same number on the bottom they have a?
Answers
Trail mix is sold in 1 pound bags Mary will buy some trail mix And repackage it so that each of the 15 members of her hiking club gets 2/5 Pound bag how many 1 pound bags of trail mix should marry by to have a nut trail mix without leftovers
Answers
Mary should buy 6 bags of 1 pound trail mix to provide each of the 15 club members with a 2/5 pound bag, resulting in no leftovers.
Explanation:The task is to determine how many 1 pound bags of trail mix Mary should buy if each of the 15 members of her hiking club is to receive a 2/5 pound bag of trail mix without any leftovers.
First, calculate the total amount of trail mix needed by multiplying the number of members by the amount each member will receive: 15 members × 2/5 pound per member = 6 pounds.
Since trail mix is sold in 1 pound bags, Mary should buy 6 of these bags to provide the right amount of trail mix for her hiking club members without any leftovers.
A surveying instrument aimed at a location can “shoot” the distance to the location, giving the surveyor a measurement. A surveyor used such an instrument to record the distance to a point on a tree 60 m from his position. After rotating his surveying instrument 57° to the left, he measured the distance from his same position to a fence post 35 m away.
a.) Draw the diagram and label the tree as point T, the surveyor as point S, and the fence post as point F.
b.) Determine the distance between the point on the tree and the fence post. (Show
the appropriate formula, substitutions, and work. Give the distance to the nearest tenth of
a meter.)
c.) Use the Law of Sines to find the measure of T. (Show the appropriate formula, substitutions, and work. Give the measure of T to the nearest degree.)
d.) Find mF
Please Help Me :(
Answers
b. Here we are looking for the distance between the tree (T) and the fence post (F). So we want the length of FT. We have the lengths of two sides and an angle and want the other side. The side we seek is opposite the angle whose measure we know. In this case we can use the law of cosines.
The law of cosines is: [tex] c^{2} = a^{2} + b^{2} -2abcosC[/tex]
I have labeled the side we want FT this c in the diagram. It is opposite the 57 degree angle which we will call C. (Little c is the side and big C is the angle). We call the other two sides of the triangle a and b. It doesn't matter which is which. So we have the following:
a= FS = 35
b= ST = 60
c = FT
angle C = angle S = 57 degrees
We plug the above values into the law of cosines and solve for c as follows:
[tex]c^{2} = a^{2} + b^{2} -2abcosC[/tex]
[tex]c^{2} = 35^{2} + 60^{2} -2(35)(60)cos57[/tex]
[tex]c^{2} = 1225+ 3600-(4200)(.544639)[/tex]
[tex] c^{2} =2537.51606[/tex]
[tex]c=50.3737[/tex]
You are asked to round to the nearest tenth (one decimal place) which gives the answer 50.4 meters
c. You are asked to find the measure of angle T. Further you are asked to do so using the Law of Sines. The law of sines is: [tex] \frac{a}{sinA} = \frac{B}{sinB} = \frac{c}{sinC} [/tex]. Even though there are three fractions set equal to eahc other, when we use the Law of Sines to find an angle (or a side) we need only use two fractions in most cases. Using the labels we used in part B we have the following:
A = T = the angle we are looking for
a = FS = 35 meters
C = S = 57 degrees
c = FT = 50.4 meters
We substitute these into the Law of Sines and solve for A as follows:
[tex] \frac{a}{sinA} = \frac{c}{sinC} [/tex]
[tex] \frac{35}{sinA} = \frac{50.4}{sin57} [/tex]
[tex] \frac{35}{sinA} = \frac{50.4}{.8386705} [/tex]
[tex]50.4sinA=29.353469[/tex]
[tex]sinA=.58241011662[/tex]
Here we use the arc sin (on a calculator it looks like sin to the negative 1 but it's called arcsin)
[tex] sin^{-1}(.58241011662)=A [/tex]
[tex]A=35.62023656[/tex]
You are asked to round this to the nearest degree which means to the nearest whole number. The answer is 36 degrees.
d. You are asked for the measure of angle F. Recall that the sum of the measures of the angles in a triangle is 180 degrees. We know that S = 57 degrees and T = 36 degrees (from part c). So to find the missing angle we add these and subtract their sum from 180.
[tex]F = 180-(36+57)[/tex]
F=180-93
F=87
The measure of angle F is 87 degrees
NOTE: Angles can be measure in degrees and in radians. This problem uses degrees so it is important that your calculator is set to degrees when doing this problem.
Lisa swims laps during swim practice. Her coach tells her to swim a certain number of meters (total) each week. Here's a formula for this scenario:
p= t/n
t= total number of meters
p= length of a lap (in meters)
n= number of laps Lisa swims
Lisa wants to know how many laps she must swim to meet her goal. Rewrite the formula to determine the number of laps (not a multiple choice, you don't have to show work) someone please help!
Answers
p = t / n
Where, the variables are:
t = total number of meters
p = length of a lap (in meters)
n = number of laps Lisa swims
Therefore, by clearing n we have:
n = t / p
Answer:
the formula to determine the number of laps is:
n = t / p
Answer:
formula = n = t / p
Step-by-step explanation:
How do i solve this?
Answers
Tangents from an external point to a circle's circumference are equal.
So
WZ = WX
WZ = 5a + 12
WX = 7a + 5
7a + 5 = 5a + 12 Subtract 5 from both sides.
7a = 5a + 12 - 5
7a = 5a + 7 Subtract 5a from both sides.
7a - 5a = 7
2a = 7 Divide by 2
a = 7/2
a = 3.5
Assume 20,000 is borrowed for 14 years at 8.5% interested compouinded annually
Answers
20000 + 0.085(20000)
For 14 years:
20000 + 14(0.085(20000))
20000 + 1.19(20000)
To make it similar:
2.19(20000) = 43800
You now have 43800 dollars, and gained $23800
what expression is equivalent to \root(4)(x^(10))
Answers
The equivalent expression to \(\root(4)(x^{10})\) is \(x^{\frac{5}{2}}\), which is obtained by realizing that the fourth root of a number can be expressed as raising that number to the 1/4 power and then applying exponent multiplication.
Explanation:To find an expression equivalent to \(\root(4)(x^{10})\), we need to apply the laws of exponents for roots and powers. The fourth root of a number is the same as raising that number to the 1/4 power, and we know from the properties of exponents that when we raise a power to another power, we multiply the exponents. Therefore:
\(\root(4)(x^{10}) = x^{\frac{10}{4}} = x^{\frac{5}{2}}\)
Thus, the equivalent expression is \(x^{\frac{5}{2}}\).
If p(x) = 2x^3 - 3x + 5, what is the remainder of p(x) divided by (x - 5)
Answers
The question is
if p(x)= 2x³-3x+5, what is the remainder of p(x) divided by (x-5)
We use the synthetic division to find the remainder,
x-5=0
x=5
Now, write the coefficients of polynomial.
5 | 2 0 -3 5
| ↓ 10 50 235
-------------------------------
2 10 47 | 240→ is the remainder.
Quotient= 2x²+10x+47
Remainder= 240
The remainder of [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] divided by [tex]\left( {x - 5}\right)[/tex] is
Explanation:
If division of a polynomial by a binomial result in a remainder of zero means that the binomial is a factor of polynomial.
The polynomial is [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] and [tex]\left( {x - 5} \right).[/tex]
The numerator of the division is [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] and the denominator is
Solve the given polynomial [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] by the use of synthetic division.
Now obtain the value of [tex]x[/tex] from the denominator.
[tex]\begin{aligned}x - 5 &= 0\\x&= 5\\\end{aligned}[/tex]
Divide the coefficients of the polynomial by [tex]5.[/tex]
[tex]\begin{aligned}5\left| \!{\nderline {\,{2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0\,\,\,\,\,\,\,\,\,\,\,\,\, - 3\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5} \,}} \right. \hfill\\\,\,\,\,\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,10\,\,\,\,\,\,\,\,\,\,\,\,\,50\,\,\,\,\,\,\,\,\,\,\,\,\,\,235}\hfill\\\,\,\,\,\,2\,\,\,\,\,\,\,\,\,\,\,\,\,10\,\,\,\,\,\,\,\,\,\,\,\,\,47\,\,\,\,\,\,\,\,\,\,\,\,\,\,240\hfill\\\end{aligned}[/tex]
The last entry of the synthetic division tells us about remainder and the last entry of the synthetic division is [tex]240[/tex].Therefore, the remainder of the synthetic division is [tex]240.[/tex]
The remainder of [tex]p\left( x \right) = 2{x^3} - 3x + 5[/tex] divided by [tex]\left( {x - 5}\right)[/tex] is [tex]\boxed{240}.[/tex]
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Synthetic Division
Keywords: division, binomial synthetic division, long division method, coefficients, quotients, remainders, numerator, denominator, polynomial, zeros, degree.
You toss a coin 15 times. P(Heads) = 2/5. (1 point)
A• experimental; the result is found by repeating an experiment. ****
B• experimental; the result is based on the number of possible outcomes.
C• theoretical; the result is found by repeating an experiment.
D• theoretical; the result is based on the number of possible outcomes .
I think it's A...
Tell me if I'm wrong.
Answers
Experimental Probability is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.
Theoretical probability is equal to the number of favorable outcomes divided by the total number of possible outcomes.
In your case, when tossing a coin 15 times, you get the Pr(Heads)=2/5, this probability is experimental and the result is found by repeating an experiment.
Answer: correct option A.
Which is the graph of the inequality?
5y + x > -10?
Answers
Answer:
This one is Right...
Step-by-step explanation:
Which expression is equivalent to 17s-10+3(2s+1)?
A.23s-9
B.23s-7
C.11s-7
D.11s-9
Answers
Have a good day!
B ) 23s - 7