Two ride-sharing companies are competing for business in a large city. To help customers compare the companies, a data scientist selects a random sample of 40 completed rides from each of the two companies. From each sample, he computes the mean amount of time that passed between when the request for a pickup was placed and when the customer was picked up. Company A took, on average, 18 minutes to pick up customers with a standard deviation of 4 minutes. Company B took, on average, 12 minutes to pick up customers with a standard deviation of 10 minutes. (a) Construct and interpret a 98% confidence interval for the difference in mean response time for these two ride-sharing companies.
Solution :
Given :
[tex]$n_1 = n_2 = 40$[/tex]
[tex]$\overline X_1 = 18$[/tex]
[tex]$S_1 = 4$[/tex]
[tex]$\overline X_2 = 12$[/tex]
[tex]$S_2 =10$[/tex]
So we want to test :
[tex]$H_0 : \mu_1=\mu_2 $[/tex] vs [tex]$H_1 : \mu_1 \neq \mu_2 $[/tex]
a). For 98% confidence interval :
[tex]$=\left((\overline X_1 - \overline X_2) \pm Tn_1+n_2-2, \alpha / 2 \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}\right)$[/tex]
[tex]$=\left((18-12) \pm 2.375 \sqrt{\frac{4^2}{40}+\frac{10^2}{40}}\right)$[/tex]
[tex]$=(6 \pm 4.0445)$[/tex]
= (1.956, 10.045)
A chocolate shop sells chocolates with a variety of different fillings.
hazelnut 68
caramel 8
orange 8
What is the probability that a randomly selected chocolate will have caramel filling?
Write your answer as a fraction or whole number.
Answer:
There is a [tex]\frac{2}{21}[/tex] chance of picking caramel-filled chocolate.
Step-by-step explanation:
To set this up, you need to make it a fraction. The denominator of the fraction is how many total chocolates you can pick from. You can figure this out by adding all of the chocolate choices together:
68 hazelnut + 8 caramel + 8 orange = 84 chocolates.
The numerator is defined by the number of caramel chocolates, in this case it is 8. That means the fraction will look like:
[tex]\frac{8}{84}[/tex]
Now that can be simplified down. I divided the top and bottom both by 4 to get [tex]\frac{2}{21}[/tex] and that is as far down as it can go. Therefore that is the probability you will get a caramel-filled chocolate.
Does the point (-8, 8) satisfy the inequality 16x + 15y = -8?
yes
no
Answer:
Yes
Step-by-step explanation:
16x+15y=-8
16(-8)+15(8)=-8
-8=-8
Hope that helps :)
Answer:
True
Step-by-step explanation:
The left side − 8 is equal to the right side − 8 , which means that the given statement is always true.
CONVERT THE PERCENTAGES FRACTION 120%
Answer:
[tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Answer:
6/5
Step-by-step explanation:
Its 6/5..
1 = 20%
Please give brainliest
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answer:
D
Step-by-step explanation:
They are trying to see how long it takes people to complete the writing portion of the test.
Find the Mode:
88, 82, 81, 89, 77, 95
89, 90, 81, 75
Answer:
81 is the mode
Step-by-step explanation:
THe mode is the number ina. Set of data that appears the most. In this case, 81 appears twice while all the other numbers only appeared once. So 81 in this case is the mode.
Help pls i'm lost i really need help
What is the area of the rectangle below?
9 feet
7 feet
Answer:
63 feet ^2
Step-by-step explanation:
Well assuming your presented with length and width.
9*7=63
On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .02 .31 .25 .19 .13 .10 1.00 (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.) Mean Standard deviation (b) Describe the shape of this distribution. multiple choice Skewed to the right Skewed to the left Symmetric
Answer:
Mean = 2.40
Standard deviation = 1.356
Step-by-step explanation:
Given the data:
X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total
P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00
The mean [E(X)]
Σx*p(x)
(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4
The standard deviation :
Std(x) = sqrt[VAR(x)]
Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2
Var(X) = 7.6 - 5.76 = 1.84
Std(X) = sqrt(1.84) = 1.356 (3 decimal places)
Expand the expression -11(30 – 2d) using the Distributive Property.
Answer: -330 + 22d
Step-by-step explanation:
Apply distributive law: a(b-c)=ab-ac
Answer:
[tex]-330+22d[/tex], or the other way around
Step-by-step explanation:
[tex]-11*30=-330[/tex]
[tex]-11*-2d=22d[/tex]
In a certain school, there are 4 girls for every 5 boys. If there are 560 girls in the school, how many boys attend school?
Answer:
700
Step-by-step explanation:
4girls=5boys
560girls=?
560*5/4
=700boys
Silvia randomly picked 12 flowers from a garden. Three of the flowers she picked were roses. What is the experimental probability that the next flower she picks will be a rose? ________
Answer:
1/4
Step-by-step explanation:
I could be wrong but that's what I would put
Answer:
P(next to be rose) = 1/4Explanation:
in general when she picked 12 flowers, 3 were roses
3/12 = 1/4
What is the area of a rectangle whose length is 4 2/3 cm and width is 8 cm?
Answer: 37 1/3 cm
Step-by-step explanation:
Area = Length times width
4 2/3 times 8 = 37 1/3
What is the answer please help no links please help
A cuboid with a volume of 924 cm' has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Show clearly that x2 + 12x – 220 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
Answer:
4cm, 11cm, 21cm
Step-by-step explanation:
4(x + 1)(x + 11)
4(x ^ 2 + 12x + 44)
x ^ 2 + 12x + 11 = 231
x ^ 2 + 12x + 11 - 231 = 0
x ^ 2 + 12x - 220 = 0
(x - 10)(x + 22) = 0
x = 10 and x = - 22
4cm , 11cm , 21cm
Hope it helps you xx
Answer:
Dimensions = 4cm, 11cm and 21 cm.
Step-by-step explanation:
x2 + 12x - 220 = 0
x2 + 22x - 10x - 220
= x(x+22) -10(x+22)
=(x+22)(x-10)
x + 22= 0
-22 -22
x = -22 (x cant be negative so this is wrong)
x-10 = 0
+10 +10
x = 10 (positive so its correct)
4 , (10+1), (10+11)
= 4, 11, 21 cm.
If the points in the table lie on a parabola, write the equation whose graph is the parabola.
Answer:
what? i need a table to answer
Step-by-step explanation:
Find the volume of the cone below. Leave your answer in terms of pi.
Answer:
ahaha it's B my guy
Step-by-step explanation:
peace out
Need the answer to x and y !
Answer:
x=5, y=3
Step-by-step explanation:
7x-11=24: 7x=35: x=5
3(5)+9=8x: 24=8x: x=3
Betty has $40 in her pocket. She brought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was the price, in dollars, of each bag of popcorn?
(a) 0.55
(b) 2.50
(c) 4.17
(d) 5.20
Answer:
2.50 (b)
Step-by-step explanation:
30 divided by 12 is 2.5 which is equal to 2.50 :)
Answer:
b) 2.50
Step-by-step explanation:
$40 - $10 = $30 spent on popcorn
$30/12 = $2.50 per bag
Can somebody solve this?
Answer:4
Step-by-step explanation:2+2=4
Find the surface area of a rectangular prism with a
length of 6 yards, a width of 4 yards, and a height of 9
yards.
Answer: 228 yds^2
Step-by-step explanation:
Surface Area= 2 (L x W) + (L x H) + (W x H)
2×(6×4 + 6×9 + 4×9) = 228
I BEG FOR MY LIFE EZ PLS
{{{{{{{PICTURE PROVIDED}}}}}}}}}
Answer:
B and D
Step-by-step explanation:
This is because for B you do 8x9x1 which is basically 8x9 which is 72. Then, for D you do 12x3x2. Do 3x2 first and you get 6. Then, do 6x12 which is also 72. So the correct answers that will give you the volume of 72 units cube is B and D. Hope this helps!
Pls help me complete this
Answer:
wow thats alot of "stuff"
Step-by-step explanation:
Answer:
For the first, top one, it is Outcome
For the second one, it is Event
For the third one, it is Trial
For the fourth one, it is Experimental Probability
For the fifth one, it is Probability
Which numbers between 10 and 20 do not appear in the table at all?
And also why don’t they appear?
Answer:
11, 13, 17, 19,
Step-by-step explanation:
dunno
Y=1/4 x + 2 which is the equation of a line parallel to the line with the equation
Question 14
Find the volume of this sphere. Round to the nearest hundredth.
6.5 cm
cm cubed
Answer:
1150.35
Step-by-step explanation:
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2
Quadrilateral WXYZ has a length of five, six, seven, and eight. A new quadrilateral is created, using a scale factor of 1.2. Which of the following are stylings of the new quadrilateral?
Choose all that apply:
10
8.4
9.6
6
7.2
5
PLEASE HELP I Got 5 minutes
Answer:
10
8.4
5
Step-by-step explanation:
WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
1 Which expression can be used to find the volume, in cubic centimeters, of the solid shown? Choose all that apply. 3 cm 4 cm 7 cm 5 cm 9 cm A (3 X 4 X 5) + (3 X 5 X 9) B (3 X 5 X 6) + (5 X 4 X 3) C (9 X 5 X 3) + (3 X 5 X 7) D (7 X 5 X 3) + (6 X 5 X 3) E (3 X4 X 7) + (6 X 5 X 4)
Answer:
I think its D
Step-by-step explanation: