Given the five number summary, christina has scored 70 marks which is equal to the median of the test scores, therefore about [tex]\frac{1}{2}[/tex] class scored higher than her and [tex]\frac{1}{2}[/tex] class scored lower than her, making option (d) correct.
The five number summary is the descriptive summary of a data where in you are provided the lowest observation, first quartile, median, third quartile and the maximum observation.
Here, the first quartile is the observation which lies at a point in the ordered data that 25% observations are lesser than it and 75% are greater than it.
the median is the observation which lies at a point in the ordered data that 50% observations are lesser than it and 50% are greater than it.
the third quartile is the observation which lies at a point in the ordered data that 75% observations are lesser than it and 25% are greater than it.
As given in the data,
Christina's marks = 70
median marks = 70
christina's marks = median marks
therefore, by definition of median, about half class scored lower than christina and half more than her.
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The complete question is given below:
Given the five number summary as:
minimum = 2
first quartile = 50
median = 70
third quartile = 85
maximum = 96
Christina earned 70 on the test. Describe how the scores of Christina's
classmates compared to Christina's score.
A. about 1/4 scored higher, about 3/4 scored lower
B. about 314 scored higher, about 1/2 scored lower
C. about 3/4 scored higher, about 1/4 scored lower
D. about 1/2 scored higher, about 1/2 scored lower
anyone help me, please I need help
[tex] \sqrt{x - 5} = 8 \sqrt[]{x - 2} [/tex]
Answer:
No Real Solutions.
Step-by-step explanation:
√(x-5)=8√(x-2)
Square on both sides,
(√(x-5))^2=(8√(x-2))^2
or,(x-5)=64(x-2)
or,x-5=64x-128
or,-5+128=64x-x
or,123/63=x
Therefore, x=41/21
If you plug x=41/21 in √(x-5)=8√(x-2) you do not get equals, so the problem has no real solutions.
안녕, 내 친구가 되어줄래?
소개를 부탁드려도 될까요?
나 자신 오자스비
클래스 8, 13
인도
한국 사람이에요?
5. There are 5,280 feet in a mile. What part of a mile, in decimal form, will you drive until you reach the exit? I NEED THIS QUICK PLZ HELP I’LL GIVE YOU 30
Answer:
5.280
Step-by-step explanation:
i did this question and got it
Sixteen blocks are needed to build a four-step double staircase like
the one on the right. How many blocks will be needed to build a
double staircase of similar shape with 50 steps?
Snacks:
Which is the graph of f(x) = -(x + 3)(x + 1)?
8
4
22
2
2
2
-8
6
х
2
6 4
6
8
-6
4
X
2
-2
-2
19
2
Answer:
It's the second option
Step-by-step explanation:
Graph for -(x+3)(x+1)
The graph of f(x) = -(x + 3)(x + 1) is the option B.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
f(x) = -(x + 3)(x + 1)
Simplifying,
f(x) = - (x² + 3x + x + 3)
f(x) = -x² - 4x - 3
This is a quadratic function, the graph of which is a parabola.
Leading coefficient is negative, so the parabola opens downward.
Options are either A or B.
x coordinate of the vertex of a parabola of equation ax² + bx + c is -b/2a.
Here x coordinate = -(-4) / (2 × -1) = -2
The vertex of first graph is (2, 1) and that of second graph is (-2, 1).
The correct option is second graph.
Hence the second graph is the graph of the given function.
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URGENT HELP I REALY NEED AN EXPERT HERE
Hi
P and Q only intersect for 2 as 2 is common for P and Q . So P U Q = 2
For the diagram :
One big circle name U with 1 on the
Far corner left and 9 on the far right corner.
Then on the left, a circle within circle U with the number Of P
Same with Q on the right.
But P and Q must intersect on number 2 as 2 is in both circles.
ps : nothing oblidge you to set the number on mathematical order. Of it'esasier to do the circles, do it whatever you like as long as you respect what is said.
PLEASE HELP!!
Find the area of the sector.
Answer:
B.
[tex] \frac{275\pi}{6} {m}^{2} [/tex]
Step-by-step explanation:
[tex]area \: of \: sector \: is \\ \frac{the \: angle}{360} \times \pi {r}^{2} \\ hence \: we \: have \\ \frac{165}{360} \times {(10m)}^{2} = \frac{275\pi}{6} {m}^{2} [/tex]
. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x minus one.
f(g(x)) = 8 Square root of quantity x minus four.
f(g(x)) = 2 Square root of quantity two x plus one.
f(g(x)) = 8 Square root of quantity x plus nine - 13
Answer:
2 sqrt(2x-1)
Step-by-step explanation:
f(x) = sqrt( x+9)
g(x) = 8x-13
f(g(x))
place the function g(x) in for x in f(x)
f(g(x)) = sqrt(8x-13+9)
Combine like terms
f(g(x)) = sqrt(8x-4)
Factor out 4
f(g(x)) = sqrt(4*(2x-1)
2 sqrt(2x-1)
[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]
[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]
g(x) will be put on the place of x[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]
Tommy stands on a diving bored that is 4 feet above the pool’s surface. He dives and touches the bottom of the pool, which is 12 feet below the pool’s surface. What is the total length of Tommy’s dive?
Answer:t below the pool’s surface. What is the total length of Tommy’s dive?
7 feet
Step-by-step explanation:
4) In the proof below, what is the missing reason?
9514 1404 393
Answer:
(c) CPCTC
Step-by-step explanation:
Even if you don't know the meaning of CPCTC, you can eliminate the other choices because they refer to the whole triangle, not two corresponding angles.
Angles B and D are corresponding angles in the congruent triangles. The reason they are congruent is ...
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
A. (3, 5)
Step-by-step explanation:
J is currently at (3, -5). As it's reflected, the x coordinate will stay the same, and the y coordinate will switch signs since we're going from negative to positive. Our answer is (3, 5).
please help me asap
Answer:
Does the answer help you?
3x + 5 = x - 3
What is the solution to this equation? Show all the steps you used to solve this equation.
Answer:
x = -4
Step-by-step explanation:
3x + 5 = x - 3
Subtract x from each side
3x+5-x = x-3-x
2x+5 = -3
Subtract 5 from each side
2x+5-5 = -3-5
2x = -8
Divide each side by 2
2x/2 = -8/2
x = -4
If x−2/4=2, then x=10
Answer:
True.
Step-by-step explanation:
[tex]\frac{(10)-2}{4}=2\\\\\frac{8}{4}=2\\\\2=2[/tex]
What is the equation of the line that passes through the point (3,-7) and has a undefined slope
Answer:
x = 3
Step-by-step explanation:
A vertical line has undefined slope. Its equation is of the form x=c, for some constant c.
Line through (3, -7)To make sure the line passes through a point with an x-coordinate of 3, the constant in the equation must be 3:
x = 3 . . . . . . vertical line through (3, -7)
type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar
HELP HELP
Answer:
Hello,
Step-by-step explanation:
f(x)=x+3 if -3≤x≤-1
(the line is passing trough (-3,0) and (-1,2) ==> y-0=(x+3)((2-0)/(-1+3) ==> y=x+3
f(x)=5 if -1≤x≤1
25 points, choices in photo
Which of the following accurately shows the first step when solving the following system of equations by substitution?
I would go with C as a first step
The correct answer is C (that is equating f(x) and g(x))
How to solve a quadratic and linear equation?A quadratic polynomial has highest degree 2 and a linear polynomial has highest degree 1.
In geometric sense, solving them means finding the point of intersection of curves:
In X-Y plane, these polynomials can be written as:
[tex]y=-x^{2} +2x+3\\y=-2x+3[/tex]
Taking the value of y from second equation and substituting it in first equation we get,
[tex]-x^{2} +2x+3=-2x+3[/tex]
Therefore, with the above procedure, we got the first step of solving the equations with the help of substitution.
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18 cards are numbered from 11 to 29 if one card is chosen at random, what is the probability that if contains the digit
find the value of x and y..
Answer:
x=30° y=110°
Step-by-step explanation:
80+70=150
180-150=30° 》》》》 angles in a triangle add up to 180°
x=30° opposite angles are equal
180-140=40° angles on a straight line add up to 180°
30+ 40=70
180-70=110°
y=110°
A school bought 45 band uniforms and 18 musical instruments. If the
uniforms cost $89 each, what was the total cost of the uniforms?
Answer:
45 times 89
Step-by-step explanation:
The instuments are irrelevant and are only there to distract you.
Answer:
45 times 89 equals 4005
Step-by-step explanation:
A textbook store sold a combined total of 331 physics and sociology textbooks in a week. The number of sociology textbooks sold was 45 less than the number
of physics textbooks sold. How many textbooks of each type were sold?
Answer: Number of sociology books sold = 143 books
Number of physics books sold = 143 + 45 = 188 books
Step-by-step explanation:
Let us take the number of sociology books sold = x
Number of physics books sold = x+45
So now we can form an equation
x+x+45 = 331
2x+45 = 331
2x = 331-45
2x = 286
x = 286 ÷ 2
x = 143
When 12% discount is given a calculator is sold for Rs 1760 find the marked price of the calculator.
Answer:
- Hello Risap!
[tex] \large{ \red{\tt{❃ } \: \blue{ PROVIDED}}}[/tex] : Discount % = 12% & Selling price [ SP ] = Rs 1760[tex] \large{ \tt{ \red{❀ \: \blue{TO \: FIND}}}}[/tex] : Marked price of the calculator [ MP ][tex] \large{ \tt{ \green❊ \pink { \: S \: O \: L \: U \: T \: I \: O \: N} \green { \: ❊}}}[/tex]
[tex] \large {\tt{✢ \: SP = MP - dis\% \: of \: MP}}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = MP - 12\% \: of \: mp}}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = MP - \frac{12}{100} \: mp }}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = \frac{100 \: MP - 12 \: mp}{100} }}[/tex]
[tex] \large{ \tt{⟶ \: 88 \: MP = 176000}}[/tex]
[tex] \large{ \tt{⟶ \: MP= \frac{176000}{88} }}[/tex]
[tex] \large{ \tt{⟶ \: MP = Rs \: 2000}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{⤳ \: OUR \: FINAL \: ANSWER : \boxed{ \red{ \tt{MP = Rs \: 2000}}}}}}}[/tex]
Hope this helps! Let me know if you have any other questions regarding my answer and also , notify me if you need any other help! :)Paul found a job listed in the classified ads that pays a yearly salary of $76K. What is the
weekly salary based on this annual salary? Round to the penny.
*
A juice dispenser holds 11.5 liters of orange juice and
dispenses juice at a rate of 0.1 liters per second. If a student
dispenses juice into a pitcher for 36 seconds, how many
liters of orange juice will be left in the dispenser afterward?
Answer:
7.9 L
Step-by-step explanation:
Juice dispensed in 1 second=0.1 L
Juice dispensed in 36 seconds=3.6 L
Juice left=11.5-3.6=7.9 L
To solve this system of equations using substitution, what could be substituted in place of x in the second equation?
2y + x = 11
31 - y = -4
a. 2y – 11
b. 11 – 2y
c. 3x + 4
d. y - 4/3
Answer:
b 11-2y
Step-by-step explanation:
Will Mark Brainnlest Please help me
Answer:
sory
Step-by-step explanation:
soryuuuiuuuiiiiiiijjjjkkkkkj
A city has a property tax rate of 70 mills and an assessment level of 40%.
What is the effective property tax rate? Round your answer to the nearest
tenth of a percent.
Mill rate is a tax rate—the amount of tax payable per dollar of the assessed value of a property. Mill is derived from the Latin word millesimum, meaning thousandth. As used in property tax, 1 mill is equal to $1 in property tax levied per $1,000 of a property's assessed value.
HELP PLEASE
i would really appreciate if someone answered this correctly!
Answer:
n-32
Step-by-step explanation:
edmentum
square of 5x+1 by 5x
Answer:
5x(5x+1)^2
= 5x(25x^2+10x+1)
= 125x^3+50x^2+5x
What is the solution to the system of equations graphed below?
Answer:
A
Step-by-step explanation:
The solution to a system of equations is the point of intersection of the 2 lines.
The lines intersect at (6, 9 ) ← solution
Answer:
A(6, 9)
Step-by-step explanation:
The intersecting points of the two lines gives the solution of the equation.
For which of the following intervals is the graph decreasing?
O A. -2
OB.-4
C. -8 < X <-5
OD. 6
