Mr. Whitman gave a test to his 32 math students. He felt the results were low, so he retested them one week later. The results of the original and retake test are shown below.
A. What is the difference in the median grade?
B. Compare the percent of students who got at least a 60 on the original test to those that got at least a 60 on the retake.
C. If the students need a 65 in order to pass the test, how many more passed the retake?
The number of student more passed the retake, when the students need a 65 in order to pass the test is 8.
What is box and whiskers plot?Box plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.
A.The difference in the median grade-The median of first test is 60 while the second test is 80. Thus, the difference is,
[tex]d=80-60\\d=20[/tex]
B. Compare the percent of students who got at least a 60 on the original test to those that got at least a 60 on the retake.The student, who got at least 60 in first test, falls in the second half of the plot. Thus, the 50% of students got atleast 60% marks. In the retake test, all 100% student got at least 60 on test.
C. If the students need a 65 in order to pass the test, how many more passed the retake?In the first test 1/4 are passed while in second test 3/4 students are passed and got the marks 65 or more than this, Thus the number of student pass more in this test,
[tex]n=(\dfrac{3}{4}-\dfrac{1}{2})\times 32\\n=8[/tex]
Thus, the number of student more passed the retake, when the students need a 65 in order to pass the test is 8.
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Can you please help me
Answer:
(30,3)
Step-by-step explanation:
The coordinate of the fourth point is (30,3)
I hope ot helped you
What is the measure of overarc PR₂
R
o 300°
o 30°
30%
o 60°
o 15°
Answer:
60°
Step-by-step explanation:
By inscribed angle theorem
[tex]m(\widehat{PR}) = 2m \angle PQR \\ \\ \implies \: m(\widehat{PR}) = 2(30 \degree) \\ \\ \implies \: m(\widehat{PR}) =60 \degree[/tex]
The ratio of men to women working for a company is 4 to 5 . If there are 125 women working for the company, what is the total number of employees?
Answer:
225
Step-by-step explanation:
125/5=25
25x4=100 men
100men:125women = 4:5
100+125=225 total
One-sixth of the fourth graders and one-third of the fifth graders miss school on Friday. The absentee sheet for Friday shows the names of 8 fourth graders and 14 fifth graders. How many fourth and fifth graders are enrolled in the school?
The number of fourth graders enrolled in the school is 48.
The number of fifth graders enrolled in the school is 42.
What is division?Division is the process of determining the quotient of a number by grouping a number into equal groups using another number.
How many fourth and fifth graders are enrolled in the school?Number of fourth graders = 8 ÷ 1/6
8 x 6 = 48
Number of fifth graders = 14 ÷ 1/3
14 x 3 = 42
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What is "m= -2;( 7,-4 )" in slope intercept form?
Answer:
y = -2x + 10
Step-by-step explanation:
Kevin wants to buy a new truck for $19,500. He has talked to the loan officer at his credit union and knows
that they will loan him $12,000. He must also pay $375 for a license fee and $1250 for taxes. What amount
of cash will he need to buy the truck?
Answer:
9125
Step-by-step explanation:
you get this answer by subtracting the cost of the new truck by how much the loan is and then adding 375 and 1250 for the license fee and taxes.
Simplify the product using the rules for exponents. (4^2)^4
[tex](4^2)^4 = 4^{ (2 \times 4)} = 4^8 = 65536[/tex]
[tex]\Large\text{65,536}[/tex]
Calculations ↓In order to simplify this expression , we have to multiply the powers (notice that we have a power to a power)
Simplify as follows :
(4²)⁴ = 4⁽²ˣ⁴)=4⁸
4 times itself 8 times simplifies to :
65,536[tex]\footnotesize\text{hope\:helpful~}[/tex]
Identify which value will be used for a variable. Write an equation that represents the problem Solve the problem
Question:
An Axolotl was pushed 48 yards downstream The Axolotl then swam in the opposite direction upstream at 6 yards benveen
breaks. How many breaks were taken?
Using proportions, it is found that when the Axolotl was swimming, 8 breaks were taken.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, in each break there are 6 yards. How many breaks are there in 48 yards? Hence the rule of three is given by:
1 break - 6 yards.
n breaks - 48 yards.
Applying cross multiplication:
6n = 48.
n = 48/6.
n = 8.
8 breaks were taken.
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a) Write an equation in terms of x that represents the problem. (b) Solve the problem.
The difference of 4 and a number is − 9. Find the number.
Part 1 of 2
The equation that represents the problem is_______ ?.
The number is_____?
Answer:
the equation is
x - 4 = - 9
the number is
-5
Step-by-step explanation:
First, we don't know the number so we represent it with a variable like "x".
then difference simply means subtraction.
" is" simply means = ( equal to)
so the question says that difference of 4 and a number is 9 so we have x - 4 = -9
so now let's solve for x
we group liked terms and make x stand alone.
x = -9 + 4
( +4 because it crossed an equal sign)
x = - 5
we have
x = -5
so we can substitute the -5 into the equation to if its true
from the equation x - 4 = - 9
where we put -5 instead of x
-5 - 4 = - 9
NO LINKS!! Find the perimeter of the figure part 2
Answer:
310 yd
Step-by-step explanation:
Perimeter = distance all the way around the outside of a 2D shape
Missing vertical length = 22 + 27 + 15 = 64
⇒ perimeter = 59 + 22 + 32 + 27 + 32 + 15 + 59 + (22 + 27 + 15)
= 59 + 22 + 32 + 27 + 32 + 15 + 59 + 64
= 310 yd
Break into three rectangles
Length of left most long side=27+22+15=64ydNow total perimeter
64+27+22+32++32+15+59+59310yd!URGENT!
What is the equation of the line that contains the point (-5,-1) and had a slope of 4? Write in slope-intercept form.
Answer:
y=4x+19
Step-by-step explanation:
(-5,-1)
-1=4(-5)+b Multiply 4 and -5
-1=-20+b Add 20 to -1
19=b
b=19
half of number q is 4
1/2 (1q) = 4
insert extra text here
If prices rose 20,000% per month, by what percentage would prices have risen in one year?
Answer:
If one month, it's 20.000%
then what of 12 months
>20,000×12= 240000% in a year.
what digit 2 is in this number 296,743
Your patio is 12 feet by 15 feet. After remodeling, the new dimensions are 18 feet by 22 feet. By how many square feet have you increased the area of your patio?
Work Shown:
Old area = 12*15 = 180 square feet
New area = 18*22 = 396 square feet
Difference = New - Old = 396 - 180 = 216
The patio's area increased by 216 square feet.
If this is the graph of f(x) = ax+h+k, then:
OA. The domain is (-∞∞), and the range is (k, ∞).
B. The domain is (,0), and the range is (k, ∞o).
C. The domain is (,), and the range is (-∞0,00⁰).
D. The domain is (-∞,∞), and the range is (h, ∞o).
The correct option regarding the domain and the range of the function is given by:
A. The domain is (-∞, ∞), and the range is (k, ∞).
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.An exponential function is given in the function, which has no restrictions, hence the domain is (-∞, ∞).
The range depends of the vertical shift given by k, hence it is given by (k, ∞).
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Answer:
The domain is (-∞, ∞) and the range is (k, ∞).
Step-by-step explanation:
Brittany is making party favors. She is dividing
2
pound of jelly beans into 6 packages. How many
pounds of jelly beans will be in each package?
Answer:
3 pounds of jellybeans will be in each package
Step-by-step explanation:
2/6=3
Find the surface area of the triangular prism the base of the prism is an isosceles triangle 42cm 37cm 35cm 24cm
[tex]0 \frac{ { {2 {?}^{?} \times \frac{?}{?} \times \frac{?}{?} }^{?} }^{2} }{?} [/tex]
find the number equivalent that makes the ratio equivalent to 1:4
Answer:28
Step-by-step explanation:
complete the ratio 7:__ so that is equivalent to 1;4 the second number is missing 7;__. So compare the first numberof the two ratios 1:4 7:__ to get 7 from 1 multiply by 7, 4x7=28 this means 7:28 are equivalent to 1:4
determine the domain and the range for the relation in interval notation
Answer:
0≤x≥3
2≤y≥4
Step-by-step explanation:
Select the correct answer.
Which data set has the widest spread?
OA
data set A:3, 1, 2, 6, 7,2,5
O B. data set B: 4, 9, 4, 5, 3, 6, 8
Oc
data set C: 1, 4, 6, 5, 7, 8,5
data set D: 4, 3, 4, 7, 2, 3,1
data set E: 5, 1,4, 2, 6, 9,2
can you create a rectangular prism net with a surface area of 394in
length 21
width 1
height 8
Answer
now i'm going to say i'm not 100% sure but i think its 168
Step-by-step explanation:
If you solve this problem Thank you 0-0
Answer:
Part A: 1
Part B: 30
Step-by-step explanation:
First row contains the error
Correct no of apples should be 30
A bag contains 12 beads.
• 2 of the beads are blue.
• 1 of the beads is green.
• 3 of the beads are purple.
The rest of the beads are red.
. Julia takes a bead from the bag at random. Show that the probability that this bead is purple or red is 3/4.
Answer: veiw explanation
Step-by-step explanation:
12 - (2+1+3) = 6 red beads.
6 + 3 = 9 (total red and purple beads)
9/12 = 3/4
The measures angles of hexagon are 4x, 5x, 6x, 7x, 8x and 9x. calculate the size of the largest angle.
Answer:
rounded to the nearest whole number = 166
Step-by-step explanation:
Add all of the angles together, to get 39x. In a hexagon, all the angles add up to 720. Divide 720 by 39 to get x, then multiply x by 9, as that is the largest angle to get an answer rounded to the nearest whole number of 166.
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You attend a working dinner with four other colleagues. Since alcohol
is not reimbursed by your company. your party receives two separate
bills: One for food ($156.65) and one for alcohol ($49.50). Each bill
needs to be split 5 ways.
How much do you owe for each bill?
$3.13 for food and $9.90 for alcohol
1.1
1.1
$31.33 for food and $0.99 for alcohol
1.1
$31.33 for food and $99.0 for alcohol
1.1
1.1
$31.33 for food and $9.90 for alcohol
1.1
Answer:
that is right because the bill is like a money service
Cheryl sells 21 children tickets, 23 adult tickets, and 7 senior tickets for the junior high soccer game. Write the ratio adult tickets to senior tickets in three ways.
California pumps about 1.74 × 10^10 gallons of groundwater each day. Texas pumps about 7.25 × 10^9 gallons of groundwater per day. About how many times greater is the amount of groundwater that California pumps per day than Texas?
The amount of groundwater that California pumps per day are 2.4 times more than in Texas.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
California pumps about 1.74 × 10¹⁰ gallons of groundwater each day.
Texas pumps about 7.25 × 10⁹ gallons of groundwater per day.
Then the ratio of the amount of water between California and Texas will be
[tex]\rm \dfrac{California}{Texas} = \dfrac{1.74 \times 10^{10}}{7.25 \times 10^9}\\\\\\California \ = 2.4 \times Texas[/tex]
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Given f(x) =4x + 8 and g(x) = x^2 + x ; find ( f o g ) ( -5 )
Answer:
88
Step-by-step explanation:
(fog)(-g) = f(g(-5))
g(-5) is 20
f(20) is 88
The composition of the function at x = -5,
(fog)(-5) = 88.
What is composite function?Let the two function f(x) and g(x) generate a new function h(x) using an operation.
The operation is composition of functions and h(x) is a composite function.
Given:
Two functions,
f(x) =4x + 8,
and g(x) = x² + x.
g(-5) = 20
The composition of the function at x = -5,
(fog)(-5) = f(g(-5))
(fog)(-5) = f(20)
(fog)(-5) = 20(4) + 8
(fog)(-5) = 88
Therefore, (fog)(-5) = 88
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