EF = JK
FG = KL
LJ = GE
Here you go.
Some transportation experts claim that it is the variability of speeds, rather than the level of speeds, that is a critical factor in determining the likelihood of an accident occurring (Update, Virginia Department of Transportation, Winter 2000). One of the experts claims that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)2. On a heavily traveled highway, a random sample of 55 cars revealed a mean and a variance of speeds of 62.5 mph and 94.7(mph)2, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table)
1. Set up the competing hypothesis to test wxpert,s claim.
2. At the 5% significance level find the critical value and state the decision rule.
3. Can you conclude that driving conditions are dangerous on this highway? explain.
Answer:
Explained below.
Step-by-step explanation:
The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².
(1)
The hypothesis for both the test can be defined as:
H₀: The variance of speeds does not exceeds 75 (mph)², i.e. σ² ≤ 75.
Hₐ: The variance of speeds exceeds 75 (mph)², i.e. σ² > 75.
(2)
A Chi-square test will be used to perform the test.
The significance level of the test is, α = 0.05.
The degrees of freedom of the test is,
df = n - 1 = 55 - 1 = 54
Compute the critical value as follows:
[tex]\chi^{2}_{\alpha, (n-1)}=\chi^{2}_{0.05, 54}=72.153[/tex]
Decision rule:
If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.
(3)
Compute the test statistic as follows:
[tex]\chi^{2}=\frac{(n-1)\times s^{2}}{\sigma^{2}}[/tex]
[tex]=\frac{(55-1)\times 94.7}{75}\\\\=68.184[/tex]
The test statistic value is, 68.184.
Decision:
[tex]cal.\chi^{2}=68.184<\chi^{2}_{0.05,54}=72.153[/tex]
The null hypothesis will not be rejected at 5% level of significance.
Conclusion:
The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.
Write the ratio 26 to 24 as a fraction in simplest form.
Answer:
13:2
Step-by-step explanation:
26 to 24 = 26/24 can further be simplified to 13/12
13/12 = 13:12
Plz mark as brainliest, I am close to expert.
at a local coffee shop, about 20% of the customers who buy coffee also buy a pastry. if they have 300 customers buying coffee about how many pastries should they expect to sell?
Answer:
60
Step-by-step explanation:
Will make you brainpower first person who answers correctly in major need of help!
Answer:4 and 35
Step-by-step explanation:
Am from the future
The extremes are 4 and 35.
What is extremes?The extremes are the values of the proportion that are furthest apart when written in ratio form using a colon. For example: In the proportion a : b = c : d, ‘a’ and ‘d’ are the extremes.
In general, four numbers are said to be in proportion, if the ratio of the first two quantities is equal to the ratio of the last two. In general, the symbol for representing a proportion is “: :”
(i) The numbers a, b, c and d are in proportional if the ratio of the first two quantities is equal to the ratio of the last two quantities, i.e., a : b : : c : d and is read as ‘a is to b is as c is to d’. The symbol ‘ : : ‘ stands for ‘is as’.
(ii) Each quantity in a proportion is called its term or its proportional.
(iii) In a proportion; the first and the last terms are called the extremes; whereas the second and the third terms are called the means.
If four numbers a, b, c and d are in proportional (i.e., a : b : : c : d), then a and d are known as extreme terms and b and c are called middle terms.
(v) The fourth term of a proportion is called fourth proportional.
Given:
4/7 = 20/35
Now, by the definition of extremes
the first and the last term is extremes
So, 4 and 35 are the extremes.
Learn more about proportion here:
https://brainly.com/question/26974513
#SPJ2
Given the linear function 2x - y= 5 what is the slope? And As x increase does y increase or decrease and as x decreases does y increase or decrease
Answer:
The slope is 2. As x increase y is increase and as x decrease y decrease
Which of the statements below summarize why a buyer would desire a purchase allowance? (Check all that apply.)
In order to keep defective, but still marketable merchandise, the buyer would need a reduction in the purchase price.
Purchased merchandise was defective or unacceptable.
The buyer purchased a large amount of merchandise and was eligible for a reduced purchase price.
The seller could not pay within the discount period.
Answer:
First two options correct
Step-by-step explanation:
I got it from answer key
Name the relationship: complementary, linear pair, vertical, adjacent, alternative interior, corresponding, or alternate exterior.
Answer:
Step-by-step explanation:
9. Alternative exterior
10. Alternate interior
11. Complementary
12. Corresponding
13. Corresponding
14. Alternate exterior
15. Vertical
16. Linear Pair
What is (6+4) (-12) using the Distributive Property?
Answer:
multiply -12 first by 6 and then by 4
Which organelle is marked with an X?
Answer:
cell wall :)
Answer:
Lysosome.
Step-by-step explanation:
If You Saw The Questions Before This One, you can see the Question: Which accurately labels the lysosome? and its X, so the answer is Lysosome
Jasmine walks three dogs after school. She brings dog
treats for the dogs. She gives 4 treats to Tucker. Then she splits the
remaining treats between Bogey and Murphy, who get 3 treats each.
How many treats did Jasmine start with? Solve the problem by working
backward, and by writing and solving an equation.
Answer:
if bogey and murphy each get 3 treats and tucker gets 4 then the total is 3+3+4=10
Step-by-step explanation:
Jasmine starts with 10 treats.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
She gives 4 treats to Tucker.
Then splits the remaining treats between Bogey and Murphy, who get 3 treats each.
So, if bogey and murphy each get 3 treats and tucker gets 4 then
= 3+3+4
=10 treats
Hence, at beginning Jasmine starts with 10 treats.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
answer this question JUST FOR POINTS this is not a real question (2+2)
Answer:
4 I think I could be wrong hahaha
in a mixture a there is 2l of syrup in 3l of water. in a mixture b there is 1.8l of syrup in 2.5 water. in which mixture, concentration syrup is higher?
Answer:
Step-by-step explanation:
In the first mixture the concentration syrup is higher
Concentration syrup is higher in mixture B.
What is Proportion?Two or more ratios made to be equal to each other is termed as proportion.
We have to use the proportional concept here by finding the concentration of syrup in 1 l of water.
Mixture A:
Concentration of syrup in 3 l of water = 2 l
Concentration of syrup in 1 l of water = 2/3 l = 0.67 l
Mixture B :
Concentration of syrup in 2.5 l of water = 1.8 l
Concentration of syrup in 1 l of water = 1.8 / 2.5 = 0.72 l
Concentration of syrup in mixture A in 1 liter of water is less than the concentration of syrup in mixture B in 1 liter of water.
Hence the concentration of syrup in mixture B is higher because concentration of syrup in mixture B in 1 liter of water is higher than the concentration of syrup in mixture A in 1 liter of water.
Learn more about Proportion here :
https://brainly.com/question/26974513
#SPJ2
Which statement is correct?
Answer:
c is correct
Step-by-step explanation:
Brainly Crown Pls
(1.2/0.375-0.2)/(6.16/15.4+0.8)=(0.016/0.12+0.7)/x
9514 1404 393
Answer:
x = 1/3
Step-by-step explanation:
The solution to ...
a = b/x
is ...
x = b/a
It is convenient to let a calculator do the tedious arithmetic.
x = (0.016/0.12+0.7)/((1.2/0.375-0.2)/(6.16/15.4+0.8))
x = 1/3
Will give brainiest answer
Answer:
I'm pretty sure it's a.....
The answer is A
Step-by-step explanation:
common sense
Which expression is equivalent to the expression
(2x + 4)(x - 6)?
At the produce store you can buy 4 bags of bananas for $29.88. How much would it cost if u were to buy 6 bags?
Answer:
44.82
Step-by-step explanation:
29.88 divided by 4 is 7.47 times 6 is 44.82
Answer:
44.82$
Step-by-step explanation:
4:29.88
6:x
4x=179.28
x=44.82$
Round the numbers to the nearest ten thousands.
62 389-
65 405-
51 330-
343 021-
102 779-
Answer:
60,00070,00050,000340,000100,000
Please helppp.
Simplify an expression for the perimeter and
an expression for the area of the rectangle
shown
Answer:
perimeter: 8x + 3 + 8x + 3 + 5 + 5=16x + 16
Area: 5(8x+3)=40x+15
An ion formed from an atom has a 1- charge. The number of electrons present in the ion is 36 and the number of neutrons is 46. Identify the element by typing the name. For example: Hydrogen or Sodium.
Answer:
Write and interpret symbols that depict the atomic number, mass number, and ... The amu was originally defined based on hydrogen, the lightest element, then later in terms of oxygen. ... The electron has a charge of 1− and is a much lighter particle with a mass of ... (b) the ion with 36 electrons, 35 protons, and 45 neutrons.
Step-by-step explanation:
how do i solve intervals
help quick!! please i have 10 minutes!!
Sorry it's been longer than 10 min I hope this is accurate.
48 on shelves how many on 12 shelves
Answer: 96 books
If 6 shelves have 48 books on them, this is one half of 12 shelves, because 6 is one half of 12 shelves.
There are 12 shelves. So, multiply 48 by 2.
48 x 2 = 96.
Answer to the question = 96
I really need help with this ?
Answer:
H: 4 3/4
Step-by-step explanation:
You subtract Aaron's and Siri's ages together and you get 4 3/4
help i forgot 3(x−4)≥−2x+3
Answer:
The answer is x_> 3
Step-by-step explanation:
Answer:
x≥3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3x−12≥−2x+3
Step 2: Add 2x to both sides.
3x−12+2x≥−2x+3+2x
5x−12≥3
Step 3: Add 12 to both sides.
5x−12+12≥3+12
5x≥15
Step 4: Divide both sides by 5.
5x
5
≥
15
5
x≥3
will mark as brainlyestWhat Is The Square Root Of 4?
Answer:
2
Step-by-step explanation:
Hope you don't need to summarize:) if so I will do it for you!
You have been asked to order a three-layer cake for the party. In order to feed 75 people, the bakery gave you the following two options for the size of each layer:
Option 1: Option 2:
Layer 1 - 10-inch diameter Layer 1- 11-inch diameter
Layer 2 - 8-inch diameter Layer 2- 7-inch diameter
Layer 3 - 6-inch diameter Layer 3- 4-inch diameter
Each layer is shaped like a cylinder and will have a height of 4 inches. The bakery charges $0.50 per cubic inch of cake.
What is the total cost of cake Option 1?
What is the total cost of cake Option 2?
Must show work and formulas
Answer:
1-11-2-7-3-4-0.50 =-26.5
Step-by-step explanation:
A person standing on a moving walkway travels 90 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
A. y = 3x; 30 feet
B. y = 9x; 90 feet
C. y = 1/3x; 3 feet
D. y = 3x; 3 feet
Answer:
What equation represents this relationship? How many feet will the person travel in 10 seconds? A. y = 3x; 30
what equation equivalent to 4x - 6y = 12
Answer:
12+6y=4x
Step-by-step explanation:
Answer:
y=2/3x−2
Step-by-step explanation:
Alice and her two sisters, Betty and Carol, are avid tennis players. Betty is the best of the three sisters, and Carol plays at the same level as Alice. Alice defeats Carol 50% of the time but only defeats Betty 40% of the time. Alice’s mother offers to give her $100 if she can win two consecutive games when playing three alternating games against her two sisters. Since the games will alternate, Alice has two possibilities for the sequence of opponents. One possibility is to play the first game against Betty, followed by a game with Carol, and then another game with Betty. We will refer to this sequence as BCB. The other possible sequence is CBC.
Calculate the probability of Alice getting the $100 reward if she chooses the sequence CBC.
Answer:
0.484
Step-by-step explanation:
Given that:
Alice defeats Carol 50% of the time.
This implies that, the probability of defeating Carol = 0.5
Also the probability of losing to Carol = 1 - 0.5 = 0.5
Similarly, Alice defeats Betty 40% of the time.
The probability of Alice defeating Betty = 0.4 and the probability of losing to Betty = 1 - 0.4 = 0.6
However, in as much as Alice needs to win two consecutive games, the sequence which satisfies this condition are as follows:
Let W represent Win and L represent L.
Then the conditions are WWW, WWL and LWW
Since the outcome of each game is independent of the other games.
Then, the probability that Alice wins two games against Carol CBC is:
Pr(2W - CBC) = (0.5 × 0.4 × 0.5) + ( 0.5 × 0.4 × 0.5) + ( 0.5 × 0.4 × 0.5)
Pr(2W - CBC) = 0.1 + 0.1 + 0.1
Pr(2W - CBC) = 0.3
The probability that Alice wins two games against Betty (BCB) is:
Pr(2W - BCB) = (0.4 × 0.5 × 0.4) + (0.6 × 0.5 × 0.4) + ( 0.4 × 0.5 × 0.6)
Pr(2W - BCB) = 0.08 + 0.12 + 0.12
Pr(2W - BCB) = 0.32
However, the Probability of winning two consecutive games is the result of the addition of the probability of winning two consecutive games in the sequence CBC together with the probability of winning two consecutive games in the sequence of BCB.
i.e.
Pr(2W) = Pr(2W- CBC) + Pr(2W - BCB)
Pr(2W) = 0.3+0.32
Pr(2W) = 0.62
Finally, to calculate the probability that Alice will get $100 if she chooses the sequence CBC is:
[tex]\dfrac{Pr(2W -CBC)}{Pr(2W)}= \dfrac{0.3}{0.62}[/tex]
[tex]\mathbf{\dfrac{Pr(2W -CBC)}{Pr(2W)}= 0.484}[/tex]