Answer:
Step-by-step explanation:
The mean for 2018 scores is:
[tex]M ean ( \overline X) = \dfrac{\sum x_i}{n}[/tex]
[tex]M ean ( \overline X) = \dfrac{74 + 78+79+77+75+73+75+77}{8}[/tex]
[tex]M ean ( \overline X) = \dfrac{608} {8}[/tex]
[tex]\mathbf{M ean ( \overline X) = 76}[/tex]
The standard deviation for 2018 scores is:
[tex]s = \sqrt{\dfrac{\sum ( x_i - \bar x)^2}{n- 1} }[/tex]
[tex]s = \sqrt{\dfrac{ ( 74 -76)^2+( 78 -76)^2+( 79 -76)^2+...+( 73 -76)^2+( 75 -76)^2+( 77 -76)^2}{8- 1} }[/tex]
[tex]s = \sqrt{\dfrac{30}{7} }[/tex]
s = 2.07
The mean and standard deviation for the year 2018 scores is:
2018
Mean 76
Standard deviation 2.07
The mean for 2019 scores is:
[tex]M ean ( \overline X) = \dfrac{\sum x_i}{n}[/tex]
[tex]M ean ( \overline X) = \dfrac{71 + 70+75+77+85+80+71+79}{8}[/tex]
[tex]M ean ( \overline X) = \dfrac{608} {8}[/tex]
[tex]\mathbf{M ean ( \overline X) = 76}[/tex]
The standard deviation for 2019 scores is:
[tex]s = \sqrt{\dfrac{\sum ( x_i - \bar x)^2}{n- 1} }[/tex]
[tex]s = \sqrt{\dfrac{ ( 71 -76)^2+( 70 -76)^2+( 75-76)^2+...+( 80 -76)^2+( 71 -76)^2+( 79 -76)^2}{8- 1} }[/tex]
[tex]s = \sqrt{\dfrac{194}{7} }[/tex]
s = 5.26
The mean and standard deviation for the year 2019 scores is:
2019
Mean 76
Standard deviation 5.26
Difference: Both the two years have the same mean but the 2019 scores have higher variation as compared to 2018 scores.
Thus, the variation in scores was higher in 2019.
One bottle contains 250 ml of juice. Soham wants 2 liters of juice. How many bottles should he buy?
Answer:
8 bottles
Step-by-step explanation:
There were 60 people on bus. 40% were female. How many people were females and how many were males?
Answer:
There were 24 females and 36 men on the bus
Step-by-step explanation:
To find the amount of females on the bus you multiply the 60 passengers by 0.4 to mimic the 40% and you get 24. So there were 24 females and to find the men you simply subtract 24 and 60 to get 36
lan often takes his dog to the park. He estimates that 30% of the other dogs
he sees are retrievers, 20% are terriers, and 20% are German shepherds. He
designs a simulation.
Let 0, 1, and 2 represent retrievers.
Let 3 and 4 represent terriers.
Let 5 and 6 represent German shepherds.
Let 7, 8, and 9 represent other dogs.
The table shows the simulation results.
Answer:
0.60 if it is shepherd!
Step-by-step explanation:
Which of the following is a statistical question? A. How many pets do each of the students in my math class have? B. How many miles did I run today? C. How much does my cat weigh? D. How many students are in my math class?
Answer:
Okay so the answer is not B. How many miles did i run today.
Step-by-step explanation:
HELP
Erick spent $ 21.91, including sales tax, on 2 T-shirts and 3 pairs of socks. The t-shirts cost $ 6.75 each and the total sales tax was $ 1.03. Complete the table with the correct prices.
Answer:
t shirts were $6.75 each.
socks were $4.71 each
sales tax was $1.03
brainliest??... i took my time out to help u
Answer: So Im basicaly just replying to get points sorry
Look i sure someone will answer it soon good luck buddy I have faith in you
Step-by-step explanation:
Choose the explanation that shows why ΔADE is similar to ΔABC.
A. A dilation with center (0, 0) and scale factor 1/2 maps ΔABC to ΔADE.
B. A dilation with center (0, 0) and scale factor 2 maps ΔABC to ΔADE.
C. A translation 4 units right and 4 units up maps ΔABC to ΔADE.
D. A rotation 90° about the origin and a translation 2 units up maps ΔABC to ΔADE.
Determine whether each pair of figures is similar. If so, write the similarity statement and scale factor. If not, explain why. Number 1 and 2 on the second part.
9514 1404 393
Answer:
JKLM ~ QRSP, scale factor 0.6ΔABC ~ ΔUVT, scale factor 1.5Step-by-step explanation:
We can write the similarity statements by naming vertices in order of increasing numbers of arcs, starting with the one having a single arc. Then we can express the side lengths as a reduced ratio, in the same order.
1. JKLM ~ QRSP
JK : KL : LM : MJ = 20 : 15 : 24 : 25
QR : RS : SP : PQ = 12 : 9 : 14.4 : 15 = 20 : 15 : 24 : 25 (same ratios)
The scale factor is 12/20 = 0.6.
__
2. ΔABC ~ ΔUVT
AB : BC : CA = 16 : 14 : 12 = 8 : 7 : 6
UV : VT : TU = 24 : 21 : 18 = 8 : 7 : 6 (same ratios)
The scale factor is 24/16 = 1.5.
The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−6, 3) and goes to Q(3, 3). It goes from Q to R(3, −4) and then to S(6, −4). What is the total length (in units) of the biking trail?
Answer:
total length = 19 units
Step-by-step explanation:
Notice that the distance between the extremes of the first segment of the trail, is a horizontal segment of 9 units length.
The second segment from (3,3) to (3, -4) is vertical one of length 3 - -4 = 7 units.
The third segment of the trail from (3, -4) to (6, -4) is another vertical segment of length 6=3 = 3 units.
Therefore,the total length of the trail is 9 + 7 + 3 = 19 units
The bionomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor
Answer:(x+3) is the other factor
Step-by-step explanation:
Answer:
(x+3)
Step-by-step explanation:
x2+8x+15
(x+5)(x+3)
Answer this:
10. 25% of 24=
11. 25% of 28=
12. 25% of 40=
Write a compound inequality that represents each situation. Graph your solution.
All real numbers that are greater than -6 but less than 6.
Answer:
-6 < x < 6
Step-by-step explanation:
help ASAP help 100 points
Answer:
the correct choice would be the last choice!
Step-by-step explanation:
Answer:
D) 23.5
Step-by-step explanation:
First solve for x² + y³, which inserting the numbers would be 4² + 5³. This is also 16 + 125 or 141. Now solve for the bottom: 2 + x or 2 + 4 to get 6. Divide 141/6 to get 23.5.
Hope it helps!
Consider the function f(x) = x^2 - 10x - 24. Given that one of the solutions of the function is x = -2, what is the other solution of the func
Answer:
5
Step-by-step explanation:
You want me to let you in on a secret? There's a simple equation that you can use to solve any quadratic problem in a minute or two.
It's the quadratic formula
x = [tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
The +- means that you will do this two times, the first time you will do -b + sqrt(b^2-4ac), and the second time you will do minus that.
a is the coefficient of the first term in the expression, b is the second and c is the third.
so we get[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - 4(1)(24)} }{2(1)}[/tex] , which is the same as
[tex]x = \frac{10 + \sqrt{100 - 24(4)} }{2}[/tex]
and
x = [tex]x = \frac{10 - \sqrt{100 - 24(4)} }{2}[/tex]
The top part simplifies to [tex]\frac{10 + \sqrt{100 - 72} }{2} = \frac{10 + 6}{2} = 5[/tex], which is your answer.
I need help quick this is hard
12inches including the history bonus make sure to include the politics
Ms. Lawson loan $20,000 for a car. The interest is 2.5%, to pay in 5 years.
Calculate the simple interest: SI= PRT=-Divided by 100
SI= ST= SI=
Answer:
$2,628.16
Step-by-step explanation:
Hope this helps.
Find the equation of a line with the given information:
f(- 6) = 8 and f( - 8) = – 1.
Wrote answer in point slope form
Answer:
[tex]y -8= \frac{9}{2}(x +6)[/tex]
Step-by-step explanation:
Given
[tex]f(-6) = 8[/tex]
[tex]f(-8) = -2[/tex]
Required
Determine the equation in point-slope form
The general function notation is:
[tex]f(x) = y[/tex]
So, in [tex]f(-6) = 8[/tex]
[tex](x_1,y_1) = (-6,8)[/tex]
[tex]f(-8) = -1[/tex]
[tex](x_2,y_2) = (-8,-1)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2-x_1}[/tex]
[tex]m = \frac{-1-8}{-8-(-6)}[/tex]
[tex]m = \frac{-1-8}{-8+6}[/tex]
[tex]m = \frac{-9}{-2}[/tex]
[tex]m = \frac{9}{2}[/tex]
The equation is then calculated as:
[tex]y -y_1= m(x-x_1)[/tex]
[tex]y -8= \frac{9}{2}(x - (-6))[/tex]
[tex]y -8= \frac{9}{2}(x +6)[/tex]
Write the number 3.1 x 104 in standard form.
A history class is made up of 12 tenth graders and 9 eleventh graders. The tenth graders
averaged 77 on the midterm exam, and the eleventh graders averaged 91 on the midterm
exam. What was the average grade on the midterm exam for the entire class?
Answer:
They average 84%
Step-by-step explanation:
Just add 77 and 91 then divide it by 2. Hope this helps.
Answer:
83 is the correct answer if you just do it by adding 91 and 77 then diving it by 2 you would get 84 that is not what answer they are looking for. Took the test 83 is what they are looking for they want you to do the work.
Step-by-step explanation:
Tenth graders 12*77= 924
Eleventh graders 9*91= 819
924+819= 1,743
12 tenth graders and 9 eleventh graders
12+9 = 21
1,743/21 = 83
see the picture below to answer will give brainlyiest. Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Place the indicated product in the proper location on the grid.
3a2 · 2a3
Answer:
3a² · 2a³= 72a
Step-by-step explanation:
5. Use figure ABCD below. Draw a line segment
from point B to point D. Name and classify
6.
the triangles formed.
А A
B
pany
Answer:
Triangle ABD and Triangle CDB. Both are obtuse scalene triangles.
Step-by-step explanation:
What is the boundary line for the linear inequality 4x + 2y < 18?
Answer:
Simplifying
x = 4.5 + -0.5y
Step-by-step explanation:
The boundary line of the inequality is intersecting the x-axis at 4.5.
The given inequality is 4x + 2y < 18.
What is the boundary line for linear inequality?A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Graph the inequality by finding the boundary line, and then shading the appropriate area.
Now, 4x + 2y < 18 can be written as y<−2x+9.
The boundary line of the inequality is given below.
The boundary line of the inequality is intersecting the x-axis at 4.5.
To learn more about the inequalities visit:
https://brainly.com/question/17675534.
#SPJ2
This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 6 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour
Answer:
This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 6 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour
Answer:
40g of butter
20g of sugar
60g of flour
Step-by-step explanation:
Hope this helps!;)
The fractions 2/5 and 4/10 are equivalent.
A. True
B. False
Answer:
its false
꧁hope its help꧂
ฅ^•ﻌ•^ฅ #
solve for p in the equation 2/5(15p +10)=40
Answer:
p=6
Step-by-step explanation:
What is a better buy.
A 12-pack of Pokemon cards for $8.50
or
A 6-pack of Pokemon cards for $5.75
Answer:
12 pack is better
Step-by-step explanation:
It is better because it's just a little more money and it has more packs then 6 pack.
Two containers of gasoline hold a total of 43 gallons. The big container can hold 8 less than twice the
smaller container. How many gallons does each container hold?
The smaller container holds
gallons while the larger one contains
gallons
Question Help D Video Written
Answer:10
Step-by-step explanation:
what is the product of 7/8 x 4/7
Answer:
1/2
Step-by-step explanation:
7x4= 28
8x7= 56
simplify: 28/56=1/2
Answer: 7/8 x 4/21
(7x4)/(8x21)=28/168
Let's divide the top and bottom by 7...
(28/7)/(168/7)=4/24
Let's divide the top and bottom by 4...
1/6
Step-by-step explanation:
hope this helps have a great night❤️❤️❤️❤️
what is x + 10 - (2x +5)
Answer:
−x+5
Step-by-step explanation:
Answer:
-x + 5
Step-by-step explanation:
-2x + x = -x
10 -5 = 5
pls SOLVE <3l!!
Determine when the cost of the two services will be the same amount, and what the price will be.
The Strauss family is deciding between two lawn-care services. Green Lawn charges a $42 startup fee plus
$28 per month. Yard Guard charges a $24 startup fee plus $34 per month.
After
months, a customer would have paid either company $
Answer:
the answer is 159 dollars in total
Step-by-step explanation:
good luck guys
1FAIpQLSedW9GapWiDC2a GDq7zacl2q8GRC22fKMRIPSYONQVv3r3S5A/... ☆
1-7 Word Problem...
Your answer
1 point
You are building a deck onto your house. The deck will be 5 meters long
and 8 meters meters wide. How many square CENTIMETERS will the deck
cover? Answer with numbers only (commas are okay to include).
Your answer
4,000 CM^2
first you multiply 8 by 5 to find out the square meters then you Multiply 100 because that's how many centimeters are in a meter and that equals 4,000.