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.
-1 1/3 divided (-1.6)
Answer:
0.8333125
Step-by-step explanation:
Answer:
0.83
Step-by-step explanation:
One side of a triangle is half the longest side. The third side is 10 meters less than the longest side. The perimeter is 45 meters. Find all three sides.
m (smallest value)
m
m (largest value)
A number is equal to the difference of four times the number and 18
Answer:
X = 4x-18
Step-by-step explanation:
X = “a number”^^
Will mark brainliest
Answer: The third option
y = -6 + 2√6 ÷ 5 and y = -6 - 2√6 ÷ 5
Plz mark brainliest:)
What is 5 to the second power
Answer:
25
Step-by-step explanation:
5 times 5
5x5=25
hope this helps
a maple tree shades an area of 7 1/2 m square. in the scale drawing, the maple tree shades an area of 12 1/2 cm square. in the scale drawing how many square centimeters represents 1 m squared
The number of centimeter squares in the scale drawing for each 1 m squared is 1.67.
What is Scale factor?The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.
Given that,
The area shaded by a maple tree is 7(¹/₂) m².
And, the area shaded in scale drawing is 12(¹/₂) cm².
The required number of square centimeters can be found by dividing the two areas as follows,
12(¹/₂) / 7(¹/₂)
= (25/2)/(15/2)
= 25 / 15
= 5 / 3
= 1.67
Hence, the number of centimeter squares in the scale area is 1.67.
To know more about scale factor click on,
https://brainly.com/question/29464385
#SPJ1
What is 1 hundredth ÷ 10?
1 hundredth ÷ 10 =
Answer:
.001 or 1 thousandth
Step-by-step explanation:
.01/10=.001
how do you find the solution to this inequality? please explain to me step by step how to do this
x - 8 > -3
Answer:
x > 5
Interval form: (5, infinity)
Step-by-step explanation:
Just add 8 to both sides of the inequality:
x > 5
Therefore, x must be greater than 5.
Which are removable discontinuities?
x = -2
x = -2 and x = 0
x = 0 and x = 4
x = -2, x = 0, and x = 4
Answer:
C
Step-by-step explanation:
Got it right on eng
Answer:C
Step-by-step explanation:
g The average lifespan for a certain type of vehicle is 8 years and follows an exponential distribution. A lot contains 200 of these vehicles, brand new. What is the probability that 50 or more of them fail in the first 2 years
Answer:
The probability is [tex]P(A \ge 50 ) = 0.14321[/tex]
Step-by-step explanation:
The average life span is [tex]\pi = 8[/tex]
The sample size is n = 200
Generally we are told that average lifespan for a certain type of vehicle follows an exponential distribution
i.e
[tex]X \~ \ \ \ exp(8)[/tex]
Gnerally the probability distribution function for exponential distribution is
[tex]f(x) = \left \{ {{\lambda * e^{-\lambda * x }\ \ \ x\ge 0 } \atop {0 \ \ \ \ \ \ \ \ \ \ x < 0}} \right.[/tex]
Now [tex]\lambda[/tex] is the constant which is evaluated as
[tex]\lambda = \frac{1}{\pi}[/tex]
=> [tex]\lambda = \frac{1}{8}[/tex]
=> [tex]\lambda = 0.125[/tex]
Generally the that the vehicles will fail in less than 2 years is mathematically represented as
[tex]P(X \le 2 )= p= \int\limits^2_0 {\lambda e^{- \lambda * x} } \, dx[/tex]
[tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * x} } ]|\left 2 } \atop {0}} \right.[/tex]
[tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 2} } ] - [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 0} } ][/tex]
[tex]P(X \le 2 )= p= -0.77880 + 1[/tex]
[tex]P(X \le 2 )= p= 0.2212[/tex]
Generally the probability that the vehicle will fail in the first 2 years follows a binomial distribution with the mean evaluated as
[tex]\mu = n * p[/tex]
=> [tex]\mu = 200 * 0.2212[/tex]
=> [tex]\mu = 44.24[/tex]
The standard deviation is
[tex]\sigma = \sqrt{np(1 - p)}[/tex]
[tex]\sigma = \sqrt{200 * 0.2212 (1 - 0.2212)}[/tex]
[tex]\sigma = 5.86[/tex]
Using normal approximation of binomial distribution the probability that 50 or more of them fail in the first 2 years is mathematically represented as
[tex]P(A \ge 50 ) = 1 - P(A < 50 )[/tex]
Applying continuity correction
[tex]P(A \ge 50.5 ) = 1 - P(A < 50.5 )[/tex]
Here
[tex]P(A < 50.5 ) = P(\frac{A - \mu }{\sigma} < \frac{50 - 44.24}{5.87} )[/tex]
Generally
[tex]\frac{A - \mu }{\sigma} = Z (The \ standardized \ value \ of A )[/tex]
=> [tex]P(A < 50.5 ) = P( Z < 1.0664 )[/tex]
From the z-table the probability value of ( Z < 1.0664 ) is
[tex]P( Z < 1.0664 ) = 0.85679[/tex]
So
[tex]P(A \ge 50 ) = 1 - 0.85679[/tex]
=> [tex]P(A \ge 50 ) = 0.14321[/tex]
HELP ME get the altitude!!!!!
Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression.
Y=3^x;3^1.2
A. 1;3.7
B. 1;2.9
C. 0;3.9
D. 0;3.5
Answer: Its A) 1 ; 3.7
Step-by-step explanation:i just took the practice on edge 2020
Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 12 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Charles, Margaret, and Sean are chosen?
Using the combination formula, it is found that the probability that you, Charles, Margaret, and Sean are chosen is:
[tex]p = \frac{1}{495}[/tex].
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 people will be chosen from a set of 12, hence the number of ways to choose them is:
[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]
The desired combination is only one, hence the probability is:
[tex]p = \frac{1}{495}[/tex].
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1
what is 100,789,388,369,012 times 479,000,000
Answer:
4.8278117e+22
Step-by-step explanation:
Using the Smith's BBQ Report, liquor sales for both weeks account for approximately what percentage of beverage sales for both weeks?
A 50%
B 40%
C 30%
D 20%
Answer:d
Step-by-step explanation:
what is the equation of the line for figures G and
H
Answer:
B = C + (C - A) = (51/50 + 51/50 - 2, 457/50 + 457/50 - 9) = (1/25, 232/25).
Step-by-step explanation:
Is the function even, odd, or neither?
Answer:
The function is neither even or odd
Step-by-step explanation:
Felipe has a flower bed
Answer:
man thats cool
Step-by-step explanation:
peter says, "If you subtract 11 from my number and multiply the difference by -2, the result is -26." What is Peter's number?
Answer:
24
Step-by-step explanation:
Reverse
-26/-2= 13
13+11=24
Check
24-11=13
13×-2= -26
I beleive the answer is 7.5 because -26 plus 11 = -15 then -15 divided by -2 = 7.5
this is probably wrong I didnt do it on paper
There are 454 grams in a pound. Convert 330 grams to ounces.
11.6 ounces
330g x 1lb/454g x 16oz/1lb = 11.6 ounces
If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer. (citing my source usa test prep but i worked it out.)
What is the solution of a - 3 = -7
Answer:
-4
Step-by-step explanation:
take -3 to other side or add 3 to both sides
So, a=-7+3
=-4
if f(x) = 6(x - 2)3 + 5, what is the y- intercept?
Answer:
y= (0, -31)
Step-by-step explanation:
Hope this helps
A food truck sells tacos $1.25 a piece. The truck operator earned $360.00 last night.
How many tacos did the food truck sell last night?
28.8 tacos
288 tacos
300 tacos
2.88 tacos
Answer:
288
Step-by-step explanation:
Each taco is 1.25 dollars and you are trying to figure out how many tacos he sold to do this we make an equation.
Step 1
1.25 x = 360
x =is the amount of tacos sold.
Step 2
1.25 x = 360
/1.25 /1.25
to get x on its own we need to cancel out the 1.25 so we dived because it was multiplied to the x. we did the same on the other side to balance the equation.
Step 3
x = 288
we now need to identify what x is, we can see it is 288. If we trade x for what it means it is then this is your answer the amount of tacos sold=288
i hope this helps ;)
Suppose your cell phone plan charges a fixed rate of $10 per month plus 7 cents per minute. Create a table that shows the relationship between the total number of minutes you might use each month, m, and your total monthly cell phone bill, t.
I need the right answers pls and tysmmm
Answer:
It's 21, you are correct!!
Step-by-step explanation:
4(x - 2 + y) =4(x−2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals
ill put in 50 brainly points
Answer:
x=4 and y=2
Step-by-step explanation:
The correct equation is,
⇒ y = - x + 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 4 (x - 2 + y) = 4
Now, Simplify the expression as;
⇒ 4 (x - 2 + y) = 4
⇒ x - 2 + y = 4/4
⇒ x - 2 + y = 1
⇒ x + y = 1 + 2
⇒ x + y = 3
⇒ y = - x + 3
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
I can't solve this problem: 47 x 98= ( ? x 47)-(2 x 47)
Answer:
The answer to your question is:
2 and -49
Step-by-step explanation:
2 x -49 = -98
2 + (-49) = -47
x2 - 47x - 98 = 0
The solution to factor the quadratic equation above is:
(X + 2 ) (X - 49)
Since 2 and -49 multiply to -98 and add up -47, you know that the following is true:
x2 - 47x - 98 = (X + 2 ) (X - 49)
para calcular el tanto por ciento de una cantidad tengo que
Answer:
Your answer is: Use the percentage formula: P% * X = Y
Step-by-step explanation:
Hope this helped : )
Su respuesta es: Utilice la fórmula de porcentaje: P% * X = Y
Espero que esto haya ayudado :)
134d) Graph the hyperbola, identify the center, vertices, foci, and equations of the asymptotes
49y^2−25x^2−196y−200x−1429=0
IF YOU ARE GOOD AT MATH, PLEASE HEAD OVER TO MY PROFILE, IN THE QUESTIONS TAB AND ANSWER THE QUESTIONS STARTING FROM THE ONE MARKED 132B!
best answers get marked 'brainliest'!
Thank you!
Answer:
Step-by-step explanation:
49y^2 - 25x^2 - 196y - 200x = 1429
49y^2-196y+196 - 25x^2-200x-400 = 1429+196-400
49(y-2)^2 - 25(x+4)^2 = 1225
(y-2)^2/25 - (x-4)^2/49 = 1
So now you know that you have an hyperbola with
center at (-4,2)
foci at (-4,2±[tex]\sqrt{74}[/tex])
vertices at (-4,2±5)
asymptotes 7y±20 = ∓5x+14
Calculate 3cm ,4cm, 10cm and 2cm
Answer:
19cm
Step-by-step explanation:
(chose one way)
1. way using commutativity
(3cm+4cm)+(10cm+2cm)=7cm+12cm=19cm
2. way just writing
3cm+4cm+10cm+2cm=19cm