Answer:
a. Expected frequency of losses per semester = 0*0.08 + 5*0.16 + 10*0.28 + 15*0.32 + 20*0.14 + 25*0.02
Expected frequency of losses per semester = 11.7 losses per semester
b. Variance = (0-11.7)²*0.08 + (5-11.7)²*016 + (10-11.7)²*0.28 + (15-11.7)²*0.32 + (20-11.7)²*0.14 + (15-11.7)²*0.02
Variance = 10.9512 + 7.1824 + 0.8092 + 3.7848 + 9.6446 + 3.5378
Variance = 35.61
c. As losses equal $60, expected losses per semester = 11.7*$60 = $702
d. Expected losses of all textbooks per semester = 250*11.7*$60 = $175,500
PLEASE HELP! I NEED HELP Use synthetic division!
The slope indicates that the height ? feet per minute.
James had a large bag of raisins. He ate
3/4
of it. Then, he shared the rest of the raisins with 2 friends and himself (3 people in total). What portion of the whole bag of raisins did each of his friends get? Choose the numbers to complete the fraction?
Choose...
Choose...
PLEASE HELP ASAP
Answer:
1/12
Step-by-step explanation:
3/4=9/12
12/12-9/12=3/12
(3/12)/3=1/12
Answer:
The friend both get 1/12
Step-by-step explanation:
Hope this helps!
A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard deviation of 0.010 L. The machine is then moved to another location. A sample of 10 bottles filled at the new location had a mean fill volume of 2.001 L and a standard deviation of 0.012 L. It is believed that moving the machine may have changed the mean fill volume, but it is unlikely to have changed the standard deviation. Assume that both samples come from approximately normal populations and have equal variance. The 99% confidence interval for the difference between the mean fill volumes at the two locations is approximately
Required:
Find a 99% confidence interval for the difference between the mean fill volumes at the two locations.
Answer:
The 99% confidence interval for the difference between the mean fill volumes at the two locations is;
-0.1175665 L < μ₁ - μ₂ < 0.1295665 L
Step-by-step explanation:
The number of bottles in the sample at the first location, n₁ = 18 bottles
The mean fill volume, [tex]\bar{x}_{1}[/tex] = 2.007 L
The standard deviation, σ₁ = 0.010 L
The number of bottles in the sample at the second location, n₂ = 10 bottles
The mean fill volume, [tex]\bar{x}_{2}[/tex] = 2.001 L
The standard deviation, σ₂ = 0.012 L
The nature of the variance of the two samples = Equal variance
The confidence interval of the statistics, C = 99%
The difference between the mean
[tex]\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}[/tex]
(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9
∴ [tex]t_{\alpha /2}[/tex] = 3.25
Therefore, we have;
[tex]\mu_1 - \mu_2 = \left (2.007- 2.001 \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}[/tex]
Therefore, we have the difference of the two means given as follows;
-0.1175665 L < μ₁ - μ₂ < 0.1295665 L
a school paid $31.50 for each calculator, if the school spent 504 dollars on calculators how many did the school buy?
I will mark someone brainliest!
Answer:
2nd option is the correct answer
Step-by-step explanation:
Oscillating powerful magnets within wire coils.
Answer:
Step-by-step explanation:
I think it's got to be coal because the power plants always have like smoke and d is the only one that burns something
HELP!!!!
Given the inequality 6x - 10y ≥ 9 select all possible solutions!!
( -1, 1)
( 2, 8)
( 2, 1)
(-3, -4)
( 5, 2)
( 4, -2)
============================================================
Explanation:
The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.
Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.
Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.
We can verify this algebraically. For instance, if we weren't sure point E was a solution or not, we would plug the coordinates into the inequality to get...
6x - 10y ≥ 9
6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)
30 - 20 ≥ 9
10 ≥ 9 ... this is a true statement
Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.
-----------
I'll show an example of something that doesn't work. Let's pick on point A.
We'll plug in (x,y) = (-1,1)
6x - 10y ≥ 9
6(-1) - 10(1) ≥ 9
-6 - 10 ≥ 9
-16 ≥ 9
The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.
help!! will mark brainliest
use the following coordinate plane to write the ordered pair for each point.
Answer:
A (-2.5,0)
b(3,3)
c(1,-4)
Step-by-step explanation:
The measure of the interior angles of four refusal
Answer:
B) 180(n-2)
Step-by-step explanation:
B) 180(n-2)
Find the area of the shaded polygons. PLEASE WILL GIVE BRANLIEST
Answer:
Green: 8 units
Red: 8.75 units
Step-by-step explanation:
Detail attached.
What is the value of x?
Answer:
x=14/3
Step-by-step explanation:
According to the corresponding angles theorem, when parallel lines are cut by a transversal, the corresponding angles are congruent. These 3 lines are all parallel, so 70 = 12x +14.
Subtract 14 from both sides
56 = 12x
Divide both sides by 12
14/3 = x
x=14/3
Factor completely 185-32 Enter your answer in the boxes
Answer:
2 (9b - 16)
Step-by-step explanation:
18b - 32
2 (9b - 16)
Answer:
2(9b-16)
Step-by-step explanation: I looked it up on m a t h w a y sorry if its wrong! <3
PLEASE ANSWER ASAP WITH SHOWN WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
im so confused
Answer:
A) 216 in²
Step-by-step explanation:
2(1/2)(6)(4)=24
2x5x12=120
6x12=72
24+120+72=216
Aaron rolls a die 40 times. On 25 of those rolls, he has a 3. Michelle rolls a die 80 times. On 40 of those rolls, she has a 6. Which
statement is TRUE about the experimental and theoretical probabilities?
A)The theoretical probability for rolling a 3 is the same as for rolling a 6.
B)The theoretical probability for rolling a 3 is greater than for rolling a 6.
C)The experimental probability for Aaron's tries is the same as Michelle's
tries.
D)The experimental probability for Aaron's tries is less than the experimental
probability for Michelle's tries.
Answer:
Pretty sure its D lemme know if I'm right
Which equation shows the line with m = 6 and Y - intercept = -3,
written in slope-intercept form?
Answer:
y = 6x - 3
Step-by-step explanation:
The equation shows the line with slope of 6 and y-intercept = -3 will be y = 6x - 3.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is 6 and the y-intercept of the line is negative 3. Then the equation of the line will be
y = 6x - 3
The equation shows the line with slope of 6 and y-intercept = -3 will be y = 6x - 3.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
which set of measurements would NOT creat a triangle?
A) 3in,8in,6in
B) 14in,6in,20in
C)11in,12in,22in
D)9in,8in,16in
7/10 -3/5 plz help me
The diameter of the circle shown below is 12. What is the area of the circle?
12
7
Answer:
113.1 square inches.
If M= {m, a,t} how many subsets of M are there?
Answer:
8 {m},{a},{t},{m,a},{m,t},{a,t},{m,a,t},{}
The length of a cut board in a sawmill should be within 2% of the board’s length. Write an absolute value inequality that describes the length L of an acceptable board with an official length of 12 feet. Solve the inequality and summarize the answer using a complete sentence.
Answer:
d
Step-by-step explanation:
also (area O O O O O O
Answer:
slide A= 6
slide B= 8
perimeter= 36
Area = 80
Step-by-step explanation:
Answer:
slide A= 6
slide B= 8
perimeter= 36
Area = 80
Step-by-step explanation:
Please this will determine if I pass
What is the perimeter of the larger triangle
18
b) 45
d) 36
Answer:
36
Step-by-step explanation:
its x2 for the missing length of the original once you have it add it all up.
Identify the graph which shows the figure in graph A, rotated 90° in a clockwise direction around the origin.
5th grade math. correct answer will be marked brainliest.
Answer:
(1,23) , (2,28) , (3,32) , (4,35)
Step-by-step explanation:
Just match the X value with its corresponding Y value
P is a rectangle with length 40 cm and width x cm.
Q is a rectangle with width y cm.
Р
The length of Q is 25% more than the length of P.
The area of Q is 10% less than the area of P.
Work out the ratio xiy
Give your answer in its simplest form.
x cm
40 cm
Q
y cm
Answer:
we know that
the length of Q is 25% more than the length of p
so
length Q=1.25*40--------> 50 cm
the area of Q is 10% less than the area of p
Area Q=50*y
Area P=40*x
so
50*y=0.90*[40*x]---------> 50*y=36*x-------> x/y=50/36---> 25/18
the answer
the ratio x:y is 25:18
Can i have brainliest? please?
Holly works at a garage.
Mr Bakir brings his car in for a service.
He also buys 2 tyres and a battery.
Holly has this list of costs
• service £110
• tyres £49.99 each
• battery £89
She uses this list to start to work out the bill for Mr Bakir.
Holly also has to charge 20% VAT on the costs to work out the total bill.
Work out the total bill. (You MUST show your working in the box below)
(4 Points)
1.1.2
Calculate the amount of VAT payable on a coffee mug that costs R75.90
(VAT exclusive)
6999999 huhuijuu harder daddy
What is the formula for calculating Cone?
Find the area of each figure