Answer:
Kindly check explanation
Step-by-step explanation:
Given the cost data: 10,6,8,10,4,3.5,7.5,8,9
A.) Median cost :
Sorted data:
3.5, 4, 6, 7.5, 8, 8, 9, 10, 10
0.5(n + 1)th term ; n = number of samples
0.5(9 + 1)th term
= 0.5(10)th term = 5th term
Median = 5th term = 8
B.) First quartile (Q1) :
0.25(n + 1)th term ; n = number of samples
0.25(9 + 1)th term
= 0.25(10)th term = 2.5th term
Q1 = (2nd term + 3rd term) / 2 = (4+6)/2 = 10/2 = 5
Q1 = 5
C.) interquartile range = (Q3 - Q1)
Q3 = 0.75(n + 1)th term ; n = number of samples
0.75(9 + 1)th term
= 0.75(10)th term = 7.5th term
Q3 = (7th term + 8th term) / 2 = (9+10)/2 = 19/2 = 9.5
Q3 = 9.5
Q3 - Q1 = (9.5 - 5) = 4.5
D.) Mean (μ) :
μ = ΣX / n
n = sample size
μ =(10+ 6 + 8 + 10+ 4 + 3.5 + 7.5 + 8 + 9) / 9
μ = 66 / 9
μ = 7.33
3.) Population variance (s²)
Σ(x - μ)² / n - 1
=[(10 - 7.33)^2 + (6 - 7.33)^2 + (8 - 7.33)^2 + (10 - 7.33)^2 + (4 - 7.33)^2 + (3.5 - 7.33)^2 + (7.5 - 7.33)^2 + (8 - 7.33)^2 + (9 - 7.33)^2] / 9
= 45.5001 / 8
= 5.687
for a review, help would be appreciated (:
Answer:
Blurry as'.'s picture I cant see nothin
Step-by-step explanation:
marina wants to make 6 dozen cookies for the school bake sale. how much milk and mix does she need?
Number of cookies: 24
amount of mix: 2 1/2
amount of milk: 1 1/4
A basketball player made 55 baskets in a season. Of these, 20% were three-point shots. How many three-point shots did the player make?
Given:
A basketball player made 55 baskets in a season.
20% of these baskets were three-point shots.
To find:
The number of three-point shots.
Solution:
We have,
Total number of baskets = 55
Number of three-point shots = 20% of total baskets
Now,
[tex]\text{Number of three-point shots}=\dfrac{20}{100}\times 55[/tex]
[tex]\text{Number of three-point shots}=\dfrac{1}{5}\times 55[/tex]
[tex]\text{Number of three-point shots}=11[/tex]
Therefore, the number of three-point shots did made by the player is 11.
f(x) = 2x^3 g(x) = x-3
find f(2)
find g(4)
find (f+g) (x)
[tex]f(x) = 2 {x}^{3} [/tex]
[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]
_________________________________
[tex]g(x) = x - 3[/tex]
[tex]g(4) = 4 - 3 = 1[/tex]
_________________________________
[tex](f + g)(x) = f(x) + g(x) [/tex]
[tex](f + g)(x) = 2 {x}^{3} + x - 3 [/tex]
_________________________________
Done...♥️♥️♥️♥️♥️
The function that represents the amount of caffeine in milligrams remaining
Answer:
Step-by-step explanation:
The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.
Answer:
If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:
A(t) = c×e^(dt)
where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)
I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.
This relationship solving for the remaining miligrams can be given by:
A(t) = 190 mg × e ^ (-.36t)
Where t is the amount of hours.
The small squares on a chessboard can be combined to form larger squares. For example, there are sixty-four 1x1 squares and one 8x8 square. Use inductive reasoning to determine how many 2x2 squares, 3x3 squares, and so on, are on a chessboard. What is the total number of squares on a chessboard?
Answer:
204
Step-by-step explanation:
Given that a 1x1 square can be located in 8 places horizontally and 8 places vertically,
Then we have 1x1 squares: 8² = 64
Again the subsequent squares will be written as
2x2 squares: 7² (2 squares in 7 places both horizontal and verticals) = 49
3x3 squares: 6² (3 squares in 6 places both horizontal and verticals)= 36
4x4 squares: 5² (4 squares in 5 places both horizontal and verticals)= 25
5x5 squares: 4² (5 squares in 4 places both horizontal and verticals)= 16
6x6 squares: 3² (6 squares in 3 places both horizontal and verticals)= 9
7x7 squares: 2² (7 squares in 2 places both horizontal and verticals)= 4
8x8 squares: 1² (8 squares in 1 places both horizontal and verticals)= 1
Hence, the total number of squares on chessboard is 1+4+9+16+25+36+49+64 = 204.
The front porch has a width of 2x feet, length of 8
feet, and its area is 112412. What is the width?
Martha earns $24 in four hours. How much would she
earn in 10 hours?
Answer:
$60
Step-by-step explanation:
24/4=6
6*10=60
Answer:
$60
Step-by-step explanation:
24 ÷ 4 = 6
6 × 10 = 24
she makes $6 an hour. $60 in ten hours.
When Andy goes to the shop ,he finds that:
The regular price of a single candy bar is 79 cents.
Packs of 5 candy bar cost $3.
There is a special offer of “buy two get one free”.
Question 1.find the cost of buying 20 single candy bars at the regular price.
Question 2.how much will Andy pay if he buys 20 candy bars in packs of 5?
Question 3.find the cost of buying 20 candy bars at the special price.
Answer:
1. $15.80
2. $12
3. $11.06
Step-by-step explanation:
Step-by-step explanation:
1. Buying 20 single candy bars at regular price
The regular price of one is 79 cents.
(# of bars) X (price per bar) = regular price
20 X 79 cents = 1580 cents
1580 cents = $15.80
2. Buying 20 bars in packs of 5
Each pack is $3
(# of packs) X (price per pack) = pack price
(20/5) X ($3) = pack price
4 X $3 = $12
3. Buying 20 bars at special price
For every 2 bought, 1 is free.
(Number of bars paid for) X (price per bar) = special price
(2(20/3)) X (0.79) = special price
14 X 0.79 = $11.06
Because for every 2 bars that are paid for, 1 is free, he pays for 14 bars and he gets the 21st free.
Andy's 20 regular priced candy bars are $15.80, bars in packs are $12, and bars at the special price is $11.06.
Find the perimeter of the figure if the following
is true:
a = x2
b = 4x + 8
c = 2x²
d = x
please help me with this .
i’m going to give out the brainly thingy
Answer:
Comment if you ready for me to give you an answer
Also message me please.
Step-by-step explanation:
Answer
B
Step-by-step explanation:
Basically divide the Number of Candles by the price.
A) $2.40/2 = $1.20
B) $3.50/5 = $0.70
C) $8.00/10 = $0.80
D)$9.48/12 = $0.79
B cost the least at $0.70
anyone in flvs? we should find each other in live lessons lol
Answer:
nope
Step-by-step explanation:
what is the value of x (3x-3) 6(x-10)
Answer:
x = 21
Step-by-step explanation:
Please help ASAP this is timed
Answer:
the answer is 30 with 75 kids voting for drinks in total
Answer:
30 students
Step-by-step explanation:
45 divided 3 (the numerator of 3/5) is 15 so 1/5 is 15. 5 minus 3 =2. so 2/5 students picked sprite. and 15 times 2 equals 30. easy
Order the fractions 1/2, -2/3, -3/8 0 from least to greatest
Answer:
-2/3, -3/8, 0, 1/2
Step-by-step explanation:
(1, 7); slope = -1 please help fast
Answer:
y = - x + 8
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = -x + b Input Slope
Step 3:
7 = - 1 ( 1 ) + b Input x and y
Step 4:
7 = - 1 + b Multiply
Step 5:
b = 8 Add 1 on both sides
Answer:
y = - x + 8
Hope This Helps :)
A farmer sells peaches and kiwis at a farmers market. The peaches sell for $3.50 per pound and the kiwis sell for $2.75 per pound. The farmer's truck can carry 1,800 pounds of fruit.
If the farmer sells all 1,800 pounds of fruit that he brings to the market, what is the maximum and what is the minimum amount of money he can earn? Provide support for your answer.
Answer:
2000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
Which angles are adjacent?
Answer:
D) mln and kln
Step-by-step explanation:
angles are adjacent when they have a common side and a common vertex, they have to share both a side and vertex
What is 17 : 3 to 740
Answer:
629 : 111
Step-by-step explanation:
17 + 3 = 20
20 goes into 740 exactly 37 times.
So what you are looking for is:
17 x 37 : 3 x 37
Which makes your answer:
629 : 111
let me know if this helps!!
Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 2 liters per minute. Which equation below best represents how many minutes, m, will it take for the two containers to have the same amount of water?
Answer:
There is no equation?
Step-by-step explanation:
3/4 divided by 8/9
A. 1/2
B. 2/3
C. 26/35
D. 27/32
Answer:
27/32
Step-by-step explanation:
Answer:
D. 27/32
Step-by-step explanation:
3/4 / 8/9
3/4*9/8
27/32
Find the value of (27) to the - 2/3
Answer: Yes. For example: (27)^2/3 would be 3^2 which = 9.
Step-by-step explanation: Hopefully this help :D ask for more help if you need!
what is /4 of 3/4 =
What is 1/4 of 3/4
Answer:
3/16
Step-by-step explanation:
1/4 of 3/4 is just another way of saying (1/4)*(3/4). When multiplying fractions, you must multiply the numerators and denominators to get the product so the numerator of the products is 1*3 and the denominator is 4*4 to get:
3/16
Answer:
3/16
Step-by-step explanation:
1/4 of 3/4
= 1/4 × 3/4
you multipy the numerators together and then multiply both denominators
ie. 1×3 divided by 4×4
= 3/16
Evaluate the expresions -8-14÷2+5
Answer:
-10
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
Nine less than five times a number is equal to -30.
Answer: 5x-30-9
-159
Step-by-step explanation:
-159 is the answer
result when the number 90 is decreased by 7.1%? Round your answer to the nearest tenth.
Answer:
83
Step-by-step explanation:
you need to think about the equation and think of the number closest to each number and decide which fits
Answer:
83.6
Step-by-step explanation:
You need to subtract 7.1 from 100, because it's a percentage, to get the resulting percent. Then multiply 90 with the answer you got in percent.
The formula for the area A of a triangle is A=(1/2)bh, where b is the length of the base and h is the height. Rearrange the formula to solve for b and select the correct option below (A) b=A/(2h) (B) b=2Ah (C) b=(1/2)Ah (D) b=2A/h
Answer:
[tex]b=\dfrac{2A}{h}[/tex]
Step-by-step explanation:
The formula for the area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh[/tex] ...(1)
Where b is the length of the base and h is the height.
We need to find the value of b from the above formula.
Cross multiplying equation (1) we get :
[tex]2A=bh[/tex]
Now dividing both sides by h. So,
[tex]\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}[/tex]
So, the correct option is (D) i.e. [tex]\dfrac{2A}{h}[/tex].
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used, x ?
Answer: 3cups
Step-by-step explanation:
List all of the solutions.
3cups = 48 = y = cups = x =
Answer:
3cups
Step-by-step explanation:
There are three times elephants compared to giraffes in the safari. If there is a total
of 88 elephants and giraffes, how many elephants are there in the safari?
Answer:
66 elephants
Step-by-step explanation:
88 divided by 4= 22
Therefore, there are 22 giraffes.
88-22=66. Therefore, there are 66 elephants. Hope this helps, feel free to ask for a more in depth explanation!
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that twenty-one adults in the United States are selected randomly. What is the probability that more than five of the selected adults save nothing for retirement
Answer:
0.769296
Step-by-step explanation:
The desired probability can be calculated from binomial probability distribution because there are 21 independent trials and probability of success(saving nothing for retirement) 0.2 remains same for each trial. Here, n=21 and p=0.20. We want to compute P(X>5).
The pdf of binomial distribution is
P(X=x)=nCx(p)^x(1-p)^(n-x)
P(X>5)=1-P(X≤5)
P(X≤5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
P(X=0)=21C0*(0.2)^0*(1-0.2)^(21-0)=0.009223
P(X=1)=21C1*(0.2)^1*(1-0.2)^(21-1)=0.048423
P(X=2)=21C2*(0.2)^2*(1-0.2)^(21-2)=0.121057
P(X=3)=21C3*(0.2)^3*(1-0.2)^(21-3)=0.191673
P(X=4)=21C4*(0.2)^4*(1-0.2)^(21-4)=0.215632
P(X=5)=21C5*(0.2)^5*(1-0.2)^(21-5)=0.183287
P(X≤5)=0.009223+0.048423+0.121057+0.191673+0.215632+0.183287
P(X≤5)=0.769296
P(X≤5) can also be computed by using excel function BINOM.DIST(5,21,0.2,TRUE) which results in
P(X≤5)=0.769296.
The probability that more than five of the selected adults save nothing for retirement is; P(X > 5) = 0.239928
We are told that 20% of adults in the US save nothing for retirement. Thus;
p = 20% = 0.2
21 adults are selected randomly. Thus;
n = 21
Probability that more than five of the selected adults save for retirement is gotten from formula for binomial probability distribution which is;
P(X = x) = nCx × p^(x) × (1 - p)^(n - x)
Thus;
P(X > 5) = 1 - P(X ≤ 5)
Where;
P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
P(X = 0) = 21C0 × 0.2^(0) × (1 - 0.2)^(21 - 0) =
0.009223
Using online binomial probability calculator, we can find the remaining as;
P(X = 1) = 0.048423
P(X = 2) = 0.121057
P(X = 3) = 0.191673
P(X = 4) = 0.215632
P(X = 5) = 0.183287
Thus;
P(X ≤ 5) = 0.048423 + 0.121057 + 0.191673 + 0.215632 + 0.183287
P(X ≤ 5) = 0.760072
Thus;
P(X > 5) = 1 - 0.760072
P(X > 5) = 0.239928
Read more about binomial probability distribution at; https://brainly.com/question/24239758
