Answer:
0.851
Step-by-step explanation:
The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. The distribution of this particular variable is very right skewed.(a) Suppose we let (X-bar) be the mean number of accidents per week at the intersection during 9 randomly chosen weeks. What is the probability that (X-bar) is less than 2?(b) Now let X be the mean number of accidents per week at the intersection during a year (52 weeks). What is the probability that X is less than 2?
Answer:
The probability that sample mean is less than 2 is 0.1423.
Step-by-step explanation:
Let X denote the number of accidents per week at a hazardous intersection.
It is provided that the mean and standard deviation of X are, μ = 2.2 and σ = 1.4.
(a)
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is not large enough, i.e. n = 9 < 30, the Central Limit Theorem cannot be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.
And since the distribution of X is not specified, the probability cannot be computed.
(b)
In this case, the sample size is large enough, i.e. n = 52 > 30, the Central Limit Theorem can be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.
Compute the probability that sample mean is less than 2 as follows:
[tex]P(\bar X<2)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{2-2.2}{1.4/\sqrt{56}})\\\\=P(Z<-1.07)\\\\=0.14231\\\\\approx 0.1423[/tex]
Thus, the probability that sample mean is less than 2 is 0.1423.
At the restaurant, the cost of the meal before tax was
$40. The tax is 8.5%, and Sheri wants to leave at least
an 18% tip. Explain how to approximate the total cost of
the meal.
Answer:
This comes out to around 25 percent. Simply multiply 40 by 1/4 to get 10 dollars.
Step-by-step explanation:
Answer:
Step-by-step explanation:
40x0.085=3.4
40+3.4= 43.4
43.4x0.18=7.8
43.4+7.8=51.212$
A compound proposition that is always ___________ is called a contradiction. A. True B. False
Answer:
A compound proposition that is always false is called a contradiction
Step-by-step explanation:
A compound proposition that is always false is called a contradiction. Option B is correct.
Contradiction is defined as a situation or set of diametrically opposed ideas. Declaring publicly that you are an environmentalist but failing to remember to recycle is a contradiction.
A compound proposition that is always false is called a contradiction. A contradiction is a statement that contradicts itself, i.e., a statement that cannot be true at the same time. When two statements are combined and lead to a logically untenable conclusion, they are said to be contradictory. If a statement contradicts itself, it must be false. For example, the proposition "This statement is false" is a contradiction, as it leads to a logically untenable conclusion.
Thus, a compound proposition that is always false is called a contradiction. Option B is correct.
Learn more about contradiction here:
https://brainly.com/question/2404344
#SPJ2
What value of y makes the following equation true?
−12(−5y+4)=2+12y
Answer:
Solution
= 25/24
Step-by-step explanation:
hope that helps :)
solve equation for Y. 23=5x-2y
Answer:
y=5/2x-23/2 or y=2.5x-11.5
Step-by-step explanation:
First, add 2y to move it to the other side of the equation. This should give you 2y+23=5x. Now, subtract 23, giving you 2y=5x-23. Divide the whole equation by 2 so that y will be by itself. Written in fraction form, it would be: y=5/2x-23/2. Written in decimal form: y=2.5x-11.5.
Can y’all determine the measure of angle a
Answer:si
Step-by-step explanation:
The sum of two numbers is -14. If the smaller number is subtracted from the larger number, the result is 10. Find the number
Answer:
smaller number = - 12
larger number = -2
Step-by-step explanation:
x + y = - 14
x - y = 10 Add
2x = - 4 Divide by 2
x = -4/2 = - 2
-2 + y = - 14 Substitute - 2 = x in x + y = - 14
y = - 14 + 2 Combine
y = - 12
What is the u equal to -4=u/2-8
Answer:12. V is not needed, and just substitute the letters with the numbers the correspond to.
Step-by-step explanation:
I have no idea what to do, i need the answer!!!
Answer:
y = -x - 6
Step-by-step explanation:
From point A, to get to point C, you would need to go down 2 and right 2 which is -2/2 and -2/2 is the same thing as -x.
The y-intercept is -6 because the line goes thorough -6 in the y axis.
Hope this helps and pls do mark me brainliest if you can:)
Explain to me in words how you would find the slope of this line and explain your answer
Answer:
5/3
Step-by-step explanation:
Looking at the two points, we count the rise (rise/run). It'd be 5 going up from the bottom point all the way to the same level as the top point. Then we count how many units over, which is 3. The slope of this would be 5/3. in slope form would be y=5/3x
Answer:
The slope is 6
Step-by-step explanation:
To find the slope you use the formula rise/run
The rise is the second y coordinate minus the first y coordinate
The run is the second x coordinate minus the first y coordinate
Step one:
Take any 2 points: I used (-1,2) and (-4,-3)
Step two:
Use the formula: rise/run
-4-2/-2-(-1)
-6/-1
6
I hope this helps :)
what is h(5)=-5²+3×5
Answer:
the answer will be -10.
would it be 20.9 increase or decrease?
Answer: increase because theres no negative number next to it
Step-by-step explanation:
Ava's cat is 3 pounds heavier than her puppy. if their combined weight is 27 pounds, how much does her cat weight
Answer:
12
Step-by-step explanation:
(3+x)+x=27
2x+3=27
2x=24
x=12
please help please please
Answer:
146 feet
Step-by-step explanation:
The missing angle is 146 degrees. May I please have Brainiest?????
Helen had Php7500 for shopping money. When she got home, she had Php132.75 in her pocket. How much did she spend for shopping?
Answer:
Step-by-step explanation:
Helen had Php7500 for shopping money
she had Php132.75 in her pocket
she spend= 7500.00-132.75
=7367.25answer
what is the slope of (-4,-4) and (16,1)
Answer:
1/4
Step-by-step explanation:
-4 - 1 = -5
-4 - 16 = -20
-5/-20 = 1/4
Find the value of K. The diagram is not to scale. Explain your answer.
Answer:
639 lo hago para conseguir puntos ;V
Step-by-step explanation:
Can sumone please help me w this question? It math. 10 points. What is the value of r in the equation 3r − 6 = 18?
Please help & thank you.
Answer:
9
Step-by-step explanation:
2(5y°) = 90° ⇒ y = 9
What is the equivalent ratios of 4:12
Answer:
8:24
Step-by-step explanation:
Just multiply 4*2 and 12*2
Hope it helps
Answer:
8:24, 24: 72, 16:48
Step-by-step explanation:
There's a lot just multiply them by the same number
What is the solution to this equation?
-6x+ 3 = 21
O A. x=-3
O B. x= 3
O C. x=-4
O D. x = 4
Answer:
A -3
Step-by-step explanation:
-6 times -3 = Postive 18. then 18+3=21
:). Hope that helped
(GIVING BRAINLIEST IF U HELP!! PLS DRAW IT OUT!)
Solve 8,397 ÷ 27 = __________ using partial quotients.
Draw it out
Answer:
311
Step-by-step explanation:
8397/27=311
Answer:
311 :)
Step-by-step explanation:
Use the algorithm method.
3 1 1
2 7 8 3 9 7
8 1
2 9
2 7
2 7
2 7
So your answer is 311
There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest tenth)
(Please answer with explination)
Answer:
29/36*100 so ans will be 80.55555555555555555555555555555555555555
Step-by-step explanation:
The populations of Cities A and B are 1.6 x 10^5 and 1,070,000, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City A?
Answer:
13.375 times
Step-by-step explanation:
1,070,000 times 2=2,140,000. 2,140,000 divided by 160,000=13.375.
Chad wants to order pizza for a party, and he can spend no more than $45.
He'll order 4 large pizzas and a $5 salad. How much can he spend on each
pizza if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
A. Answer: $8 or less
B. Inequality: 5x + 4 < 45
C. Inequality: 4x + 5 < 45
D. Answer: $10 or less
Answer:
Inequality: 4x+5<45, $10 or less
Step-by-step explanation:
Sallad costs $5. Therefore, the total cost of the pizzas is $40 ( $45-$5). Then since they are 4 pizzas, you find the quotient of ($40÷4)
When rounded to the nearest thousands an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh? I need step by step instructions please.
Answer:
Step-by-step explanation:
It depends on what you have been told about rounding when a 5 is involved.
If you can round if the answer is 4500, then that would be your answer. If you have some complicated method of dealing with the 5 (involving odd or even numbers) the elephant's minimum weight will be different.
I would go with 4500.
Do I have this correct or did I read the instructions wrong? This is due tomorrow and I’m still on slide 1. Pls help!
Answer:
Hey man! Just saw this and that answer is not correct! I see how you were thinking tho. Here is how it should be graphed.
Step-by-step explanation:
I have marked the correct dots in green.
Subtract using the number line. - 1/3-(-1/2)
Answer:
answer is 1/1
Step-by-step explanation:
9y - 36 simplified or expanded
Answer:
simplified
Step-by-step explanation:
look this is mad easy the answer is simplified because since there is no equal sign you dont need to find the value of y.
Write in decimal form:
0 × 100 +
6 × 10 +
5 × 1 +
2 × (1/10) +
1 × (1/100) +
4 × (1/1000)
Answer: 65.214
Step-by-step explanation: google caculator