Answer:
A
Step-by-step explanation:
Part A, A. Kari, because the mean and median of her scores is, 84.5.
Part B, Jocely will see a greater increase overall as her previous average is less.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
From the given information, The average score of Jocelyn is,
= (86 + 87 + 95 + 72 + 78 + 80)/6.
= 83.
And Similarly, The average score Kari is,
= (88 + 78 + 93 + 81 + 75 + 91)/6.
= 84.5.
Therefore, Kari scores better overall.
If they both get 90% on their next math quiz Jocely will see a greater increase overall as her previous average is less.
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Kim bought a lawn chair that had a ticket price of $25.00. She ended up paying $26.50 after tax. If she were to buy a $40.00 patio table, how much would she have to pay after tax?
Answer:
41.50
Step-by-step explanation:
you would have to minus the 26.50 and 25.00 and then you would get 1.5 so that's how much the tax is. you would still keep the zero tho bc if there is nothing after the 5 u add zero.
The Chemistry Club is experimenting with different mixtures of water with a
certain chemical to make fake snow.
To make each mixture, the students start with some amount of water, and then add
1/7 of that amount of the chemical, and then 9 more grams of the chemical. The
chemical is expensive, so there can't be more than a certain number of grams of the
chemical in any one mixture. How much water can you start with so that you don't
use up too much of the chemical?
a. 1/7x + 9 < 26.25
b. 9x + 1/7 s 26.25
26.25x + 9 = 1/7
C.
d. 1/7x + 26.25 39
Answer:
Suppose we have with x, the amount of water we use (in grams).
1/7 of this will be the chemical, then we have (1/7)*x grams of chemical.
Then we add another 9g of the chemical, then we have in total:
(1/7)*x + 9g of the chemical.
And we know that the chemical is expensive, so there can't be more than a given number of grams of the chemical, because of the phrase:
"...There can't be more than..."
We will have a relation like:
(1/7)*x + 9g ≤ something.
By looking at the options, we can see that "something" = 26.25 grams
then we will have the inequality:
(1/7)*x + 9g ≤ 26.25 g
Now we can solve this for x, the amount of water used:
(1/7)*x ≤ 26.25 g - 9g
x ≤ (26.25 g - 9g)*7
x ≤ 120.75 grams
This means that the maximum amount of water we can use is 120.75 grams of water.
A roller coaster is being designed that starts at (0,22) and ends at (19,2),
Along the ride there is a relative minimum at (5,6) and a relative
maximum at (10,18). The roller coaster is almost finished but one
section is missing. Find the correct function that completes the roller
coaster so that the ride is smooth and continuous.
Answer:
The function is, f(x) = 6·sin((π/5)(x + 3π/2)) + 12
Step-by-step explanation:
The general form of equation of a roller coaster is given as follows;
y = A·sin(B(x - C)) + D
Where;
A = The amplitude = (18 - 6)/2 = 6
D = The vertical shift = 12
One revolution = 10 unit
∴2·π = 10 unit
Therefore, 10 = 2·π/B
B = 2·π/10
The phase shift = 3·π/2
Therefore, we have the function as follows;
f(x) = 6·sin(2·π/10(x + 3π/2)) + 12 = 6·sin((π/5)(x + 3π/2)) + 12
What is the total number of different 11-letter arrangements that can be formed using
the letters in the word ORTHOGRAPHY?
Answer:
4989600
Step-by-step explanation:
First, find how many letters there are. There is 11 letters.
Next, find which letters are repeated and if so, how many times. The letters O, R, and H are each repeated twice.
Since there are 11 letters, you must do 11 ! (factorial). There are 3 letters that are repeated twice, so you must divide by 2 ! 3 times.
Your equation is:
11!/ 2! * 2! * 2!
It simplifies into 39,916,800/8 which is equal to 4989600
Order the sides of each triangle from shortest to longest.
Answer:
FG, GH, FH
Step-by-step explanation:
H=180-100-50=30°
Since H is the smallest degree, the side opposite it (FG) is the shortest length.
Since F is the middle degree, the side opposite it (GH) would be the middle length.
Since G is the highest degree, the side opposite it (FH) would be the longest.
FG, GH, FH
Please help solve!
g(x) = 4x + 3
f(x) = 3x-4
Find (g o f)(5)
Answer:
(g o f)(5) = 47
Step-by-step explanation:
We are given a composite function:
g(x) = 4x + 3
f(x) = 3x - 4
We are supposed to find (g o f)(5), which really means g( f(x) ). So, we put the function of f(x) for every x in g(x), like this:
g(x) = 4x + 3
g( f(x) ) = 4(3x - 4) + 3
g( f(x) ) = 12x - 16 + 3
g( f(x) ) = 12x - 13
Now, we also need to evaluate for x = 5, like this:
g( f(5) ) = 12(5) - 13
g( f(5) ) = 47
Which statement correctly compares the spreads of the distribution
Answer:
From what I remember A is the answer but im not sure.
Answer:b
Step-by-step explanation:t
I need help and NO LINKS
Find the quotient of the following:
(12x^4- 3x^4+ 15x^2)
and ( - 3x)
Answer:
-4x³+x²-5x
Step-by-step explanation:
-4x³+x²-5x
What percent is equivalent to 0.25%
Answer:
the percent is 25% lol
Step-by-step explanation:
Decimal .25
percent 25%
fraction 1/4
Answer:
0.25
Step-by-step explanation:
The county fair charges $1.00 per rode and an additional $3.00 to get in the fair. Write an equation to represent the total cost of attending the fair.
First identify the independent and dependent variables.
Answer:
Step-by-step explanation:
It's independent
The answer options is is and is not
Answer:
Question 1 is a statistical question
Question 2 is not
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary
Can someone plz help. Will mark brainliest
Answer:
3. 73
4. 1500
Step-by-step explanation:
3. 7*9 = 63, 2*5 = 10, 63+10 = 73
4. 40*30 = 1200, 20*30 = 600 divided by 2 = 300, 1200+300 = 1500
The figure shows the dimensions of a rectangular storage room. Darnell
has boxes that are cubes with edges 1 1/2 ft long. What is the maximum
number of boxes that Darnell can fit in the storage room? Explain.
10 ft
6 ft
8 ft
help meee plss it’s timed !!
Answer:
i did it to its C
Step-by-step explanation:
mark me pls
Answer:
D
Step-by-step explanation:
use Pythagoreans theorem to solve (a^2+b^2=c)
Please help fast....
Answer:
Step-by-step explanation:
Answer:
Volume = 1.25
Step-by-step explanation:
Length = 5 * 1/2 = 2.5
Width = 1 * 1/2 = .5
Height = 2 * 1/2 = 1
[tex]2.5 * .5 * 1 = 1.25[/tex]
PLEASE HELP ME KSDAKJDSAJDJKS
Answer: x = 16
Step-by-step explanation:
60x - 60 = 900
60x = 960
60x / 60 = 960 / 60
x = 16
Will give brainiest if right
Two trains started moving at the same time, train A from Boston to
New York, and train B from New York to Boston. The distance
between the train stations in New York and Boston is 240 miles. The
average speed of train A is 60 mph, which is 3/4 of the average
speed of train B.
How soon will the trains meet?
Your answer would be after 1.7 hours
5. How much force is needed to stop a 1,400 kg truck pulling up to a stop light if
the truck took 4 seconds to stop and was moving at 36 m/s?
Answer:
Step-by-step explanation:
F=ma
F=m(dv/dt)
F=1400(-36/4)
F=-12600N (the negative sign just means the force was slowing the vehicle, the magnitude of the force is just the absolute value.
F=12600N
Alexa uses the binomial theorem to correctly expand (x + 2)^4. Which is one of the terms in Alexa's
answer?
24x^2
6x^2
16x
2x^4
Answer:
24x^2
Step-by-step explanation:
When expanded (x+2)^4= x^4+8x^3+24x^2+32x+16
The only term that matches with these is 24x^2
Answer:
24x^2
Step-by-step explanation:
write the name of each signage in a sheet of paper
Answer:
good do hhi
Step-by-step explanation:
The probability line shows the probability of 5 chance events (A, B, C, D, and E) occurring. Which THREE statements BEST describe the likelihood of the event occurring?
A) Event A is certain to occur.
B) Event E is certain to occur.
C) Event D is certain to occur.
D) Event B is not likely to occur.
E) Event C has an even chance of either occurring or not occurring.
Answer:
The answer is:
B) Event E is certain to occur.
D) Event B is not likely to occur.
E) Event C has an even chance of either
Step-by-step explanation:
Event E is certain to occur. Event B is not likely to occur and Event C has an even chance of either occurring or not occurring so options (B),(D), and (E) are correct.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin, the probability of coming head and tail is nothing but the chance that either head will appear.
As per the given probability line.
The probability of event E = 1 so it will be certain to occur.
The probability of event B is very close to zero so it will not likely occur.
The probability of event C is 0.5 so it has an equal chance to occur or not.
Hence "Event E will definitely happen. Event C has an equal chance of happening or not, but Event B is not likely to happen".
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The full question below,
Tom and Kim are playing a game in which they use a spinner with 10 sectors. One of the sectors says, "$0," four
say, "S100," three say, "$200," and two say, "$500." Use a table to show the probability distribution.
Answer:
It's C.
Step-by-step explanation:
A classroom is 32 1/2 feet long, 30 feet wide, and 7 1/2 feet high what is the volume
Answer:
6000
Step-by-step explanation:
$100 for 4 years at 4.5% per annum
amount=P+S.I
=100+18
=RS118
Answer asp
__% of 75 is 25
33% of 75 is 25... Hope that helps!!
Which figures below have at least one acute angle? Mark all that appley
C and D
An acute angle is an angle less than 90 degrees.
Answer
triangle and trapezium
Help ASAP pls im giving away all of my points!!
Do you think you would have liked to have been a participant in Biosphere 2? Why or why not?
Answer:
NO. It sounds terrifying, and nearly deadly with the lack of oxygen..all the pollution from things like cars and factories, the littering, the deforestation, the animals that are either endangered or extinct.
Step-by-step explanation:
What is the median of the data set?
9
8.5
8
10
Answer:
8.5
Step-by-step explanation:
When you write out the data set, it looks like this:
5, 8, 8, 8, 8, 9, 9, 9, 10, 10
The median means the exact middle of the data set. In this case, it falls between the 8 and the 9, so the middle would be 8.5, so that's the median of the set. I hope this helps :)
Answer:
The median is 8.5
Step-by-step explanation:
The median is the middle number in a data set. For example, if you had a data set:
2, 2, 3, 4, 4
You would go forwards and backwards in the set until you found the middle number, which is 3. 3 would be the median.
However, if there is no middle number (there are an even number of points in the set), you add the two remaining numbers and divide it by two.
For example, if the final two numbers were:
2, 6
You would add 2 and 6 to get 8, and divide by 2, and you get the median 4.
In this set, we have
5, 8, 8, 8, 8, 9, 9, 9, 10, 10.
The final two numbers are 8 and 9, so you add 8+9=17, divided by 2 = 8.5.
What is the total surface area of the rectangular prism?
Answer:
286.5
Step-by-step explanation:
(3 x 7.5) x 2 = 45
(11.5 x 3) x 2 = 69
(11.5 x 7.5) x 2 = 172.5
45 + 69 + 172.5 = 286.5