Answer:
15% off
Step-by-step explanation:
The mean mark of a group of 10 boys is 58. If the mean of 7 of them is 61, what is the mean of the remaining 3 boys
Answer:
The mean of the remaining 3 boys is 51.
Step-by-step explanation:
The mean mark of the entire group ([tex]p_{10}[/tex]), dimensionless, is:
[tex]p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i}[/tex] (Eq. 1)
([tex]p_{10} = 58[/tex])
[tex]\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58[/tex] (Eq. 1b)
Where [tex]x_{i}[/tex] is the mark of the i-th boy, dimensionless.
In addition, we know the following mean marks from statement:
[tex]p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i}[/tex] (Eq. 2)
([tex]p_{7} = 61[/tex])
[tex]\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61[/tex] (Eq. 2b)
[tex]p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i}[/tex] (Eq. 3)
Where:
[tex]p_{7}[/tex] - Mean mark of the first 7 boys, dimensionless.
[tex]p_{3}[/tex] - Mean mark of the remaining 3 boys, dimensionless.
By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:
[tex]\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58[/tex]
[tex]\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58[/tex]
[tex]7\cdot (61) + 3\cdot p_{3} = 580[/tex]
[tex]3\cdot p_{3} = 153[/tex]
[tex]p_{3} = \frac{153}{3}[/tex]
[tex]p_{3} = 51[/tex]
The mean of the remaining 3 boys is 51.
Tom buys some polos for $18 each.He has a coupon for $25 off the total price.If he pays $47, how many shirts,p,did he buy?
Answer:
he should have bought 4-5 unless he under paid but i'd say he bought 4 polo shirts
Step-by-step explanation:
How do I solve for X?
Answer
50
Step-by-step explanation:
60 is supplementary to 120 so 60+70=130
and a triangle adds up to 180 so 180-130 would be 50
I need help with number 8 please
Suppose that a regression line for some data transformed with logarithms predicts that when x equals 8, will equal 1.603. What does the regression line predict y will equal when x equals 8? Round your answer to the nearest whole number. A. 2 B. 40 C. 13 D. 28
Answer:40
Step-by-step explanation:
Answer:
B. 40
Step-by-step explanation:
aapeexxxxxab
if m<1= w+5 and m<2=3w +7 if <1 and <2 form a linear pair what is the value
Answer:
w = 42
Step-by-step explanation:
A linear pair is a pair of adjacent angles which add up to 180 degrees(supplimentary).
Given m<1 = w + 5, m<2 = 3w + 7, and the fact that m<1, and m<2 form a linear pair. This relationship can be given by:
m<1 + m<2 = 180.
To solve just substitute the expressions given by the angles, and solve.
m<1 + m<2 = 180
| |
v v
(w+5)+(3w+7) = 180 →
4w + 12 = 180
-12 -12
___________
4w = 168
÷4 ÷4
_______
w = 42
If a campaign worker walks 6 kilometers knocking on voters' doors for a candidate before an
election, how many miles did the campaign worker walk?
Answer with step-by-step explanation:
6 km = 3.72822715 mi
Answer:
Step-by-step explanation:
Thirty three campaign workers called 12,375 eligible voters to encourage them to do their civic duty. Which rate best represents the relationship between the eligible voters reached by each campaign worker?
Divide and check your answer. 6/938
Find the rate of increase:
Original amount: $2000
Final amount: $3000
Answer:
21
Step-by-step explanation:
Answer:
67%
Step-by-step explanation:
the original amount had to increase by 67% in order to equal the final about simply by dividing 2000 by 3000 getting 2/3 which is 0.666667 then multiplying by 100 to get a rate
Michael wanted to see what kitchen cleaner worked best for cleaning her counters. He used Lysol, Clorox, Pinesol, and just water. For each cleaner, he put 5 milliliters of grape juice on the counter, sprayed the cleaner, and wiped it with one paper towel.
Answer:
whichever paper towel observer's the most juice is the best brand
The stem-and-leaf plot shows kilometers walked by participants in a charity benefit walk. Use
it to answer the questions.
Kilometers Walked for Charity
12
3
3 6
7
9
9
13
1
1
4
5
5
14
0
0
2
3
3
8
8
9
15
2
2
2
.
2
3
5 5 7
16
4
5
5
99
17
3
5
Key: 123 means 12.3
a. How many people participated in the walk?
b. How many of the walkers traveled more than 14 kilometers?
Answer:
a)35 people participated in the walk
b)22 people walked more than 14 km
Step-by-step explanation:
12|3 3 6 7 9 9
13| 1 1 4 5 5
14| 0 0 2 3 3 8 8 9
15| 2 2 2 2 2 3 5 5 7
16| 4 5 5 9 9
17|3 5
Key: 12|3 means 12.3
a)
Count the number of leaves
Number of leaves = 35
So,35 people participated in the walk
b)
Count the number of people who walked more than 14 km
Exclude 14|0
14| 2 3 3 8 8 9
15| 2 2 2 2 2 3 5 5 7
16| 4 5 5 9 9
17|3 5
22 people walked more than 14 km
Twenty times y is at most 100 in interval notation
Answer:
[tex]y\in (-\infty ,5][/tex]
Step-by-step explanation:
In this problem, we need to write "Twenty times y is at most 100 in interval notation ".
20 times y means, 20y
Atmost means an inequality which is [tex]\le[/tex]
ATQ,
[tex]20\times y\le 100[/tex]
i.e.
[tex]20y\le 100\\\\y\le 5[/tex]
We can also write it as :
[tex]y\in (-\infty ,5][/tex]
Hence, the required interval notation is [tex]y\in (-\infty ,5][/tex].
The interval notation is [tex]\rm y \epsilon (\infty,6][/tex].
What is interval notation?The Interval notation is a method to define a set of numbers between a lower limit and an upper limit by using end-point values.
"Twenty times y is at most 100 in interval notation ".
Here, 20 times y means, 20y at most means an inequality.
Therefore,
The inequality is;
[tex]\rm 20 \times y\leq 100\\\\20y\leq 100\\\\y \leq \dfrac{100}{20}\\\\y\leq 5[/tex]
Hence, the required interval notation is [tex]\rm y \epsilon (\infty,6][/tex].
To know more about Interval notation click the link given below.
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Please help (9th grade math) Will give brainliest
Answer:
jo jjejejejej
Step-by-step explanation:
nenenebejeje
Answer:
y=25 x=11
Step-by-step explanation:
simplify these numbers
1. 125 5. 384
2. 458 6. 15710
3. 438 7. 2549
4. 10512 8. 8920
Find the area of the shape either enter an exact andwet In teems of pi use 3.14 for pi and enter ur ander as a Devimal
Answer:
6 units
Step-by-step explanation:
HOPE THIS HELPED
A school has 3 differnt after-school clubs. The table below shows the ratios of girls to boys in each club:
Which club has the greatest ratio of girls to boys?
Pls answer I have a test today!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
Dance m8
Step-by-step explanation:
Answer:
a. Dance
Step-by-step explanation:
We will find the ratios' common denominators and compare them
Dance: 2/3 girls to boys ratio
soccer: 3/5 girls to boys
Chess: 8/15 girls to boys
Lets find a common factor
all of the denominators (bottom numbers evenly go into 15)
2/3=10/15
3/5=9/15
8/15= 8/15 because it already has 15 as a denominator
The number with the greatest numerator is gonna be our answer;
10/15 or 2/3
1. How many years would it take for a person in the United States to eat 855 pounds of apples
2. How many years would it take for a person in the United States to eat 1,120 pounds of turkey?
3. If 6 people in the United States each eat the average amount of popcorn for 5 years, how many quarts of popcorn will they eat?
4. In the United States, a person eats more than 40,000 pounds of bread in a lifetime if he or she lives to be 80 years old. Does this statement make sense, or is it nonsense? Explain.
Answer:
1) A person would need approximately 51 years to eat 855 pounds of apples.
2) A person would need approximately 69 years to eat 1120 pounds of turkey.
3) 6 people in the United States will eat 1260 quarts in next 5 years.
4) The statement is a nonsense.
Step-by-step explanation:
1) According to the German page Statista, a person in the United States had a per capita consumption of 16.91 pounds of fresh apples in 2018/19. If we consider that a person consume at same rate, then the time taken is obtained by dividing total amount of fresh apples by per capita consumption rate:
[tex]x = \frac{855\,pd}{16.91\,\frac{pd}{yr} }[/tex]
[tex]x = 50.562\,years[/tex]
A person would need approximately 51 years to eat 855 pounds of apples.
2) According to the German page Statista, a person in the United States had a per capita consumption of 16.40 pounds of turkey in 2018/19. If we consider that a person consume at same rate, then the time taken is obtained by dividing total amount of turkey by per capita consumption rate:
[tex]x = \frac{1120\,pd}{16.40\,\frac{pd}{yr} }[/tex]
[tex]x = 68.293\,years[/tex]
A person would need approximately 69 years to eat 1120 pounds of turkey.
3) Accoring to the US page Aghires, a person in the United States had a per capita consumption of 42 quarts of pop corn in 2017/2018. The total consumption of the groups equals the product of number of people, time and per capita consumption. That is:
[tex]x = 42\,\frac{qt}{yr}\times 6 \times 5\,yr[/tex]
[tex]x = 1260\,quarts[/tex]
6 people in the United States will eat 1260 quarts in next 5 years.
4) According to the US newspaper The South Florida Reporter, a person in the United States had a per capita consumption of 53 pounds of bread in 2017/2018. Consumption during 80 years can be estimated by knowing the product of time and per capita consumption. That is:
[tex]x = 80\,yr \times 53\,\frac{pd}{yr}[/tex]
[tex]x = 4240\,pd[/tex]
Which is only equivalent to about 10 % of the alleged indicator and, consequently, the statement is a nonsense.
20 POINTS!! can someone please help me? i will give brainiest to the right answer.
Step-by-step explanation:
Since lines p || q are parallel to one another, let us find all the 8 angles,
1 and 7 are vertically opposite angles and they are equal;
since angle 1 is 75°, then angle 7 is 75°
Also, angle 7 and 5 are corresponding angles, corresponding angles are equal;
So,
angle 5 = 75°
Angle 5 is vertically opposite to angle 3,
So,
angle 3 = 75°
To find angle 4,
angle 4 and angle 5 are angles on a straight line;
sum of angles on a straight line = 180°
angle 4 + angle 5 = 180°
angle 4 = 180 - 75 = 105°
Angle 2 and Angle 4 are corresponding angles and they are equal;
So angle 2 = 105°
Angle 4 and angle 6 are vertically opposite and they are equal;
angle 6 = 105°
Angle 6 and 8 are corresponding angles, they are equal;
angle 8 = 105°
Based on the survey results from 300 selected students in the Burbank School District (BSD), the 98% confidence interval used to estimate the population proportion of all BSD students who have access to a working computer at home was computed to be 48% to 60%. The following 2 subquestions require a numeric input, no work is necessary. [2 points] What number of students (out of the 300 sampled) have access to a working computer at home
Answer:
follows are the solution to this question:
Step-by-step explanation:
Please find the correct question in the attached file:
The formula for calculating the Confidence interval of proportion:
[tex]\to CI=\hat{p} \pm Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to \hat{p}=\frac{\text{lower limit +upper limit}}{2}\\[/tex]
[tex]=\frac{0.48+0.60}{2}\\\\=\frac{1.08}{2}\\\\=0.54[/tex]
The number of learners with access to working at home on a computer:
[tex]= 0.54 \times 300 \\\\=162[/tex]
Lower limit =0.48
upper limit = 0.60
[tex]\to margin \ error = \frac{\text{upper limit - lower limit}}{2}\\[/tex]
[tex]=\frac{0.60-0.48}{2}\\\\=\frac{0.12}{2}\\\\= 0.06[/tex]
Find the dimension of the rectangular corral producing the greatest enclosed area given 200 feet of fencing. Anyone help me asap
Answer:Best corral has a width and length of 50 feet, enclosing an area of 2500 square feet. Let's calculate the width (W) of the rectangle as a function of it's length (L). So we have W = (200 - 2*L)/2 W = 100 - L Now the area of the rectangle is A = WL Substitute the equation for W. A = (100 - L)L A = 100L -L^2 Let's make an initial guess of 40 ft and add an error component of e. So we'll use the length of (40+e) and see what we get. A = 100L -L^2 A = 100(40+e) - (40+e)^2 A = 4000 + 100e - (1600 + 80e + e^2) A = 4000 + 100e - 1600 - 80e - e^2 A = 2400 + 20e - e^2 Now looking at those 2 "e" terms is interesting. It's pretty obvious that any negative value of e will cause those term to result in a value less than 0, and decrease the available area. Also any value of e greater than 20 will also cause those 2 values to sum to a negative value and decrease the area. But a value of e in the range of 0 to 20 will result in a positive value and cause the area enclosed to be larger. So it's obvious that 40 feet isn't optimal. Let's pick the middle of the e values that result in something positive (0+20)/2 = 10 and add that to our initial guess, getting a length of 50 and replace length by (50+e) and see what happens. A = 100L -L^2 A = 100(50+e) -(50+e)^2 A = 5000+100e -(2500+100e + e^2) A = 5000+100e - 2500 - 100e - e^2 A = 2500 - e^2 This looks quite promising. Any non-zero value of e will result in the area enclosed being smaller. So the idea value of e is 0. That means that the idea length of the rectangle is 50 feet. And that makes the width 50 feet as well. Mind, this problem could have been also solved using the first derivative of the equation A = 100L -L^2, which would have been A' = 100 - 2L, and then solving for 0. But I did this problem to demonstrate that you don't need to resort to calculus for every maximum type of problem.
Step-by-step explanation:
What is equation of a line with a slope of 5 and passes through the point of (2,4)
Answer:
y-4=5 (x-2)
Step-by-step explanation:
it's point-slope form.
y-y1 = m or slope (x-x1).
y1 being the y coordinate and x1 being the x coordinate.
if you need slope-intercept it is y=5x-6
What is the x-intercept?
look at the picture.
Answer:
(0,0)
Step-by-step explanation:
The x-intercept is what the x value is when y = 0, and on this chart, when y=0, x=0 as well.
Jada's bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times.
3g+h=18 2g+3h=26 what is h and what is g
Answer:
g=4 h=6
Step-by-step explanation:
3g +h = 18 (Equation 1)
2g+3h=26 (Equation 2)
From equation 1
3g+ h =18
h= 18-3g (equation 3)
substitute equation 3 into equation 2
2g+3h= 26
2g+ 3(18-3g)= 26
2g+3×18+3(-3g)=26
2g+54-9g=26
9g-2g= 54-26
7g=28
7g÷7 = 28÷7
g= 4
substitute g into equation 1
3g+h=18
3(4)+ h= 18
12+h= 18
h=18-12
h= 6
Answer:
g = 4; h = g
Step-by-step explanation:
When solving an equation with two variables, the goal is to isolate at least one of the variables so that you can plug it in to the equation to get the other. There are multiple ways to solve this so I'll just be giving one.
3g + h = 18
2g + 3h = 26
In these two equations, I notice that if I multiply the first equation by 3, the two equations will have the same values of h, so I'd be able to isolate g:
9g + 3h = 54
2g + 3h = 26
Now, subtract the second equation from the first to isolate g:
9g + 3h = 54
-2g + 3h = 26
= 7g = 28
= g = 4
Now that we have solved for g, we can plug it into either of the equations and solve for h:
2(4) + 3h = 26
= 8 + 3h = 26
= 3h = 18
= h = 6
And in conclusion, g = 4 and h = 6.
Consider a conical tank, where the height of the tank is 12 meters, and and the diameter of the tank at the top is 8 meters. Water is leaking out of the bottom of a conical tank at an constant rate of 20,000 LaTeX: \text{cm}^3 / \text{min}cm 3 / min. Water is also being pumped in to the tank at a constant unknown rate (call it LaTeX: kk). The water level is currently 8 meters high, and the water level is rising at a rate of 2 LaTeX: \text{cm} / \text{min}cm / min. Find the rate LaTeX: kk at which water is being pumped in to the tank.
Answer:
The answer is below
Step-by-step explanation:
The height of tank = 12 m = 1200 cm, the diameter of the tank = 8 meters, hence the radius of the tank = 8/2 = 4 m = 400 cm
Let h represent the water level = 8 m = 800 cm. The radius (r) of the water level at a height of 8 m is:
r/h = radius of tank/ height of tank
r/h = 400/1200
r = h/3
[tex]\frac{change\ in\ volume}{change\ in \ time}=water\ in-water\ out\\ \\\frac{dV}{dt=} water\ in-water\ out\\\\V=\frac{1}{3}\pi r^2h\\ \\r=\frac{1}{3}h \\\\V=\frac{1}{3}\pi (\frac{1}{3}h )^2h\\\\V=\frac{1}{9} \pi h^3\\\\\frac{dV}{dt} =\frac{1}{3} \pi h^2\frac{dh}{dt}\\\\\frac{dh}{dt}=2\ cm/min,h=8\ m=800\ cm\\\\[/tex]
[tex]\frac{dV}{dt} =\frac{1}{3} \pi (800)^2(2)=426666.7\ cm^3/min\\\\\frac{dV}{dt=} water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-20000\ cm/min\\ \\water\ in=426666.7\ cm^3/min+20000\ cm/min\\\\water\ in=446666.7 \ cm^3/min[/tex]
Unpredictable numbers that are distributed over a certain range are ____.
A. Random numbers
B. Random equations
C. Random formulas
D. Tables of formulas
Answer:
random numbers
Step-by-step explanation:
because they are randomly picked
Unpredictable numbers that are distributed over a certain range are _Random numbers_.
What is random experiment?Random experiments are repeated multiple times to determine its likelihood.
The number of times an experiment is repeated is better described as number of trials.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Now, Unpredictable numbers that are distributed over a certain range are random numbers because they are randomly picked.
Unpredictable numbers that are distributed over a certain range are _Random numbers_.
To Learn more about Random numbers, click here;
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HELP PLEASE!!!!!
Checkpoint #4: Find the X-intercept and y-intercept
of a Graph
5
1
2.
4
3
2
2
-1
1
4
-3
2
1
3
4
5
-5
-4
-3
-2
0
2
4
5
-10
-
- 2
-2
-3
Answer:
Step-by-step explanation:
Step-by-step explanation:
hope this helps! good Night!!
Ashley’s math average decreased 12 points to 78. Then she completed an extra credit assignment and raised her final average by 5 points. Write an equation to show how Ashley’s average changed.
What was her starting average?
points
How much did her average increase or decrease, overall?
points
What was her final average?
points
Answer:
1. 90
2. -12 +5
3. 83
Step-by-step explanation:
90 -12 + 5 = 83
what are 3 ways you used energy today?
Answer:
Heating and cooling our homes, lighting office buildings, driving cars and moving freight, and manufacturing the products we rely on in our daily lives are all functions that require energy.
Answer:
driving cars, heating and cooling our homes,and manufacturing products we use everyday such as clothes and toothpaste.
Step-by-step explanation:
A bread company has a total of 12 packages of buns to sell. Each package of buns contains 6 buns and sells for $2.50. The cost of the buns, in dollars, is a function of the number of packages bought.
Which of the following values are NOT in the domain of the function described?
a) -2
b) 0
c) 0.5
d) 6
e) 14
Answer:
a) -2, c) 0.5, e) 14
Step-by-step explanation:
The domain is the x value, which is the number of packages sold in this case.
a) -2: You can't sell a negative number of packages
c) 0.5: You can't sell half a package
e) 14: The company only has 12 packages
