Answer:
6. 8 mi³
7. 72 cm³
Step-by-step explanation:
6. Volume of triangular pyramid = ⅓*A*H
Where,
A = area of triangular base = ½*b*h = ½*3*4 = 6 mi
H = height of pyramid 4 mi
Volume = ⅓*6*4 = 8 mi³
7. Volume of triangular prism = ½*bhl
Where,
b = 3 cm
h = 6 cm
l = 8 cm
Volume = ½*3*6*8 = 72 cm³
Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus (New York Daily News). The 2017 market shares are Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford Focus 8%, with other small car models comprising the remaining 23%. A sample of 400 compact car sales in Chicago showed the following number of vehicles sold.
Honda Civic 98
Toyota Corolla 72
Nissan Sentra 54
Hyundai Elantra 44
Chevrolet Cruze 42
Ford Focus 25
Others 65
Use a goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales. Using a 0.05 level of significance, what is the p-value?
The p-value is ___________.
What is your conclusion?
Conclude that the markets shares for the five compact cars in Chicago ______________the market shares reported.
What market share differences, if any, exist in Chicago? Round your answers to three decimal places. Enter negative values as negative numbers.
Sample
Compact Car Market Share Hypothesized Market Share Difference
Honda Civic - 0.20 =
Toyota Corolla - 0.17 =
Nissan Sentra - 0.12 =
Hyundai Elantra - 0.10 =
Chevrolet Cruze - 0.10 =
Ford Focus - 0.08 =
Others - 0.23 =
Answer:
Pvalue = 0.020335
X² = 14.99
CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES
Step-by-step explanation:
H0 : there is no difference in market shares
H1: there is difference in market shares
Chisquare (X²) = (observed - Expected)²/ expected
Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05
Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235
Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75
Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4
Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1
Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531
Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924
X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99
The obtain the Pvalue ;
We use the Pvalue from Chisquare calculator :
Pvalue(14.99, 0.05, df= 6) = 0.020335
Decision region :
Reject H0 ; if Pvalue < α
THERE IS DIFFERENCE IN MARKET SHARES
Market share differences:
* 98/400 = 0.245,
0.245-0.20 = 0.045
* 72/400 = 0.18,
0.18 - 0.17 = 0.01
* 54/400 = 0.135,
0.135 - 0.12 = 0.015
* 44/400 = 0.11,
0.11 - 0.10 = 0.01
* 42/400 = 0.105
0.105 - 0.10 = 0.005
* 25/400 = 0.0625
0.0625-0.08 = -0.0175
* 65/400 = 0.1625
0.1625 - 0.23 = -0.0675
Fill in the blank:
Suppose W is a subspace of ℝ5, and suppose that e1,e3∈W, but e2,e4,e5∉W.
What is the strongest statement we can make about the dimension of W:
The dimension of W is at least ____ and at most ____.
(I tried, the answer is not 1 and 2)
you play free fire
Step-by-step explanation:
yes/no
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis against using a random sample of specimens. Calculate the P-value if the observed statistic is . Suppose that the distribution of the sample mean is approximately normal.
Complete question :
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0 : μ = 12 against H1 : μ < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is xbar = 11.5. Suppose that the distribution of the sample mean is approximately normal.
Answer:
0.02275
Step-by-step explanation:
Given :
Population mean μ = 12
Standard deviation, σ = 0.5
Sample size, n = 4
Observed statistic, xbar = 11.5
H0 : μ = 12
H1 : μ < 12
The test statistic = (xbar - μ) ÷ σ/sqrt(n)
Test statistic =. (11.5 - 12) ÷ 0.5/sqrt(4)
Test statistic = - 0.5 ÷ 0.5/2
Teat statistic = - 0.5 / 0.25 = - 2
Since, it is stated that, distribution is approximately normal ; then we can use the Z distribution and obtain our Pvalue.
We could obtain P value using the Pvalue Z distribution calculator at α = 0.05, 1 - tail
Pvalue = 0.02275
Or
P(x < - 2) = 0.02275 (Z distribution table)
The table shows the linear relationship between the
number of ride tickets purchased and the total cost
for admission plus ride tickets at a carnival.
Which function can be used to find y, the total cost of
attending the carnival and purchasing x ride tickets?
Carnival Costs
A y = 25x + 8
Number of Ride
Tickets Purchased, x
Total Cost for
Admission plus Ride
Tickets, y
By = 8x + 25
o
$8
y = 8x +0.25
8
$10
16
$12
Dy = 0.25x + 8
24
$14
18-34
3
3
Answer:
C
Step-by-step explanation:
Y=8x + 0.25
♡ The Question/Task ♡
-Which function can be used to find y, the total cost of attending the carnival and purchasing x ride tickets?
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
-I believe the answer should be, y = 0.25x + 8!
I apologize in advance if this is incorrect! ♡
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-No Explanation/Step-By-Step Provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No Tips Provided!
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
(a) Work out the total cost, in pounds, of the flights, the apartment and the car hire.
(b) If there had been more than 1.12 euros to £1, how would this affect your answer
to part (a)?
(2 part question; enter answers for (a) and (b) in the answer box below) *
(5 Points)
Dicken's Hardware sells incandescent and CFL light bulbs. Yesterday they sold 18 incandescent bulbs and 24 CFL bulbs for total sales of $132.
Part A: Let x represent the cost of an incandescent bulb and let y represent the cost of a CFL bulb. Write an equation or inequality to represent the situation. Explain how you decided to use an equation or inequality.
Part B: A CFL bulb cost $4. Use this information and your equation or inequality from part a to find the cost of an incandescent bulb. Show your work and explain what your answer means in the context of the problem.
Which data point is an outlier in this graph?
(A) (5,-3)
B) (3,5)
© (-5,3)
D (3,-5)
Answer:
idel
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
5, -3 is not near the other dots making it an outlier
Which expression has the same value as 12^2
2 4/10?
round to nearest whole number
Answer: 2
2.5 and up we round up
2.4 and lower we round down
Answer:
2
Step-by-step explanation:
2 4/10
4/10 is less than 0.5 so we round down to 2
Although television HDTV converters are tested before they are placed in the installer's truck, the installer knows that 20 percent of them still won't work properly. The driver must install eight converters today in an apartment building.
(a) Ten converters are placed in the truck. What is the probability that the driver will have enough working converters?
Answer:
80%
Step-by-step explanation:
Exit Ticket: Show all your work
-4x - 6 = -14
what does x equal ? show yur work
Answer:
-4x - 6 = -14
+ 6. + 6
-4x = -8
——————
-4. -4
—————
x = 2 :) copy it down like that :)
Step-by-step explanation:
if 2 angles of a triangle have measures of 58 and 101 degrees what is the measure of the 3rd
Answer:
21 degrees
Step-by-step explanation:
the sum of the three angles in a triangle equal 180. take the known angles (58 and 101) and subtract them from 180. 180-129=21
Write down the gradient of the line with equation y = 2x + 3
Answer:
Slope : 2
Step-by-step explanation:
y = mx + c
2x - y = -3
x/ -3/2 + y/3 = 1
Diego has 200 students in his grade which is 2 times as many as Lin. Lin’s grade has x students. Write this equation.
ILL GIVE BRAINLEIST FAST PLZ 15 POINTS
Answer:
200 ÷ 2 = x
Step-by-step explanation:
Diego has 2 times as many a Lin. That means to find Lin's student number, we would have to split 200 in half.
Hope this helps!
Rewrite the expression by factoring out (y-2).
3y?(y-2)-2(y-2)
Answer:
− y =3 y
Step-by-step explanation:
Simplify
2
−
(
y
+
2
)
.
Tap for more steps...
−
y
=
3
y
Move all terms containing
y
to the left side of the equation.
Tap for more steps...
−
4
y
=
0
Divide each term by
−
4
and simplify.
Tap for more steps...
y
=
0
10 points || answer ASAP if you can
Answer:
It would affect the mean, range, and standard deviation
Step-by-step explanation:
I got this right on the test :)
Is negative 5 less than |5|
Answer:
Yes
Step-by-step explanation:
Is negative 5 less than |5|?
-5 < |5|
Or -5 < 5
In circle B with the measure of minor arc AC= 84°, find m
Answer:
m<ADC = 42°
Step-by-step explanation:
Based on the inscribed angle theorem, the inscribed angle, m<ADC is ½ the measure of minor arc AC.
If minor arc is given as 84°, therefore:
m<ADC = ½(84)
m<ADC = 42°
HELP ASAP!!!
Why is it important to talk about the sad, terrible parts of history as well as the good parts?
Answer:
Although this is the math forum, I can still answer this
Step-by-step explanation:
Sad and terrible parts of history show our mistakes and the good parts show our improvements from them. It is important to include all the parts so that modern society can learn from them.
Cami buys 4 pounds of ground beef for $22. The total cost in dollars, y, is proportional to the number of pounds purchased, x pounds ground beef y=what.
Answer:
88
Step-by-step explanation:
The total cost of y 4 pounds of ground beef which is bought by Cami at the rate of $22 per pound of ground beef is $88.
What is the total cost?Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.
Cami buys 4 pounds of ground beef for $22. The total cost in dollars, y, is proportional to the number of pounds purchased, x pounds ground beef.
In this problem, the total cost y has to be found out. As the price of one pound of ground beef is $22 and there is total 4 pounds of ground beef, Cami bought.
Thus, the total cost is,
[tex]y=22\times44\\y=88[/tex]
Thus, the total cost of y 4 pounds of ground beef which is bought by Cami at the rate of $22 per pound of ground beef is $88.
Learn more about the total cost here;
https://brainly.com/question/25109150
#SPJ2
The chief guest was scheduled to arrive at 10: 30 am. He came late by 1 hr 20
mins. At what time did he arrive?
Step-by-step explanation:
the chef came at 11:50 pm/am hope this helps
10:30 + 1 h 20 mins — 11:50
He arrived at 11:50.
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
10
6
Can somebody please help me
Answer:
Area = 74.1 square units
Step-by-step explanation:
Area of the composite figure = Area of the rectangle + Area of the semicircle
Area o the rectangle = Length × Width
= 10 × 6
= 60 square units
Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
Here, r = radius of the semicircle
For the semicircle with radius = [tex]\frac{6}{2}[/tex] = 3 units
Area = [tex]\frac{1}{2}\pi (3)^{2}[/tex]
= 4.5π
= 14.14 units²
Total area of the composite figure = 60 + 14.14
= 74.14 square units ≈ 74.1 square units
What is the median of the data set below? 40, 40, 52, 41, 62
Answer:
41
Step-by-step explanation:
Arranged it in order
Answer:
41 because you have to rearrange the numbers from least to greatest and the median is the middle number
40,40,41,52,62
41 is the median
A store is having a sale all items are marked 30% off
In 10 minutes, Max ran 1.45 km while Avery ran 1.61 km. How much more did
Avery run?
Answer:
0.16km
Step-by-step explanation:
Unless I am missing something it is a simple subtraction problem and the time is not needed. It is simply asking how much farther Avery ran than Max, which is 1.61km - 1.45km which is 0.16km
Factor the following: 28 W + 12J
7 (9W + 3J)
4 (7W + 3)
2 (12W + 5)
I need these too NOW LOL
Step-by-step explanation:
https://youtu.be/e7WGZHTZm0I
Answer:
Answervis 4(7W+3)
Step-by-step explanation:
I hope it's helpful!
Help please all you have to do is use fractions strips to find each sum and simplify if possible
Step-by-step explanation:
i hope this can help you.
HELP WILL GIVE BRANLIEST AND EXTRA POINTS!
Answer:
The answer is D
Step-by-step explanation:
You just use this equation to find it
A=2(wl+hl+hw)
Two hundred forty and twenty-five hundredths in standard form
answer:
240.25
step-by-step explanation:
look at what it says about the number and then decidetwo hundred forty - - > 240
the number sounds just like what it saystwenty-five hundredths - - > .25
the numbers would be after the decimal since it is "hundredths"what is the answer of 2+y=11
Answer:
9
Step-by-step explanation:
11 - 2 = 9
Answer: 9
Step-by-step explanation:
Minus 2 from both sides to make it equal.
2 + y = 11-2 -2y = 9