Answer:
C) There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
Step-by-step explanation:
First of all, we have to understand that this is a question asking to draw a conclusion from the chi-square GOF (goodness of fit) test information that was given in the problem text.
From there, we use the usual sentence format, and in this case, we use the sentence format for when the p-value is less than α:
Since the p-value (0.008) is less than the alpha value (0.05), we reject the null hypothesis ([tex]H_0[/tex]). There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
To elaborate, we get this answer by knowing that since the p-value is so low, the chance of getting a test statistic that extreme (too low or too high depending on the context) is significantly unlikely.
The correct option regarding the significance level is C. There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
How to explain the significance level?In this question, we simply have to deduce a conclusion from the chi-square test information that was given.
In this case, the p-value (0.008) is simply less than the alpha value (0.05), therefore, we will reject the null hypothesis.
This implies that there is sufficient evidence to suggest that the toll booths are not used in equal proportions.
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In the context of temperature, what would -4 degrees celsius describe?
A.4 degrees above freezing
B.4 degrees below freezing
C.-4 degrees
D.4 degrees below sea level
Of all the registered automobiles in a city, 8% fail the emissions test. Eleven automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. Part 1 of 4 (a) Find the probability that exactly three of them fail the test. The probability that exactly three of them fail the test is . Part 2 of 4 (b) Find the probability that fewer than three of them fail the test. The probability that fewer than three of them fail the test is
Answer:
Step-by-step explanation:
please help i don't know what to do
A slope and x-intercept
B slope and y-intercept
C Slope and a point that is not an intercept
D x-intercept and y-intercept
E y- intercept and a point that is not an intercept
F two points that are not a intercepts
Answer:
5
It is that because I know this
what is the MEAN of 75, 85, 95, 105
Answer:
90
Step-by-step explanation:
75+85+95+105=360
360/4=90
HELP JIMTHOMPSON5910
13. To ride a roller coaster, you must be 48 inches tall. There are 30.48 centimeters in 1 foot. Approximately how many centimeters is 48 inches? Round to the nearest whole centimeter.
14. A water cooler contains 240 cups of water. One gallon is equal to approximately 3.8 liters. About how many liters of water are in the water cooler? Round to the nearest whole liter.
15. A billboard is 6 meters long. One centimeter is approximately 0.39 inch. About how long is the billboard in inches? Round to the nearest whole inch.
Answer:
13- pretty sure its 122
14- 58
15- i think its 236?
Problem 13
Answer: 122 cm------------------
Explanation:
It's not mentioned, but keep in mind that 1 foot is equivalent to 12 inches. This means that 48 inches is equal to 48/12 = 4 feet. So you must be 4 feet tall, or taller, to be able to ride the roller coaster.
To convert this to centimeters, we multiply by 30.48 to get 4*30.48 = 121.92 cm, which then rounds to 122 cm
==========================================================
Problem 14
Answer: Approximately 57 liters------------------
Explanation:
1 gallon = 16 cups
Note how 240/16 = 15, which means we can multiply both sides of that equation above by 15 and we end up with
15*(1 gallon) = 15*(16 cups)
15 gallons = 240 cups
The water cooler is 15 gallons.
Multiply this by 3.8, since there are about 3.8 liters per gallon, and we end up with the answer of 3.8*15 = 57 liters
This answer is approximate since the 3.8 was approximate.
==========================================================
Problem 15
Answer: Approximately 234 inches------------------
Explanation:
1 meter = 100 cm
6 meters = 600 cm (multiply both sides by 6)
1 cm = 0.39 inches
600*(1 cm) = 600*(0.39 inches)
600 cm = 234 inches
This answer is approximate because the 0.39 was approximate.
Find all the real zeros of the function
Answer:
B
Step-by-step explanation:
y = -9x - 1
You need a value that will make y = 0
-9x - 1 = 0 Add 1 to both sides
-9x = 1 Divide by - 9
x = 1/-9
The answer is B
y = −2x + 1
4x + 2y = −2
Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born in May. A group of 20 friends meet monthly and celebrate the birthdays for that month. What is the probability that at the May celebration, exactly two members of the group have May birthdays
Answer:
0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a person being in May:
May has 31 days in a year of 365. So
[tex]p = \frac{31}{365} = 0.0849[/tex]
Group of 20 friends:
This means that [tex]n = 20[/tex]
What is the probability that at the May celebration, exactly two members of the group have May birthdays?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773[/tex]
0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays
Evaluate the six trigonometric functions of the angle 0
7
5
sin =
csc =
cos =
sec 0 =
tan A=
cotA=
Answer:
sin=The sin of an acute angle is defined in the context of a right triangle.
csc= The length of the hypotenuse divided by the length of the side opposite the angle.
cos= The length of the adjacent side divided by the length of the hypotenuse.
sec 0=The ratio of the length of the hypotenuse to the length of the adjacent side is the secant of an angle in a right-angled triangle.
tan A=In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
cotA= In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side.
Step-by-step explanation:
Please help!!!! I’ll give you best answer!!!
Solve the equation by completing the square
10 points
4) v2 + 16v + 35 =-4
A) {-16 + V217, -16 - V217)
B) -3, -13
C) 7+ V71,7 – V71)
D) -8,-10
Answer:
Hi! The answer to your question is B. {[tex]{-3, -13}[/tex]}
Step-by-step explanation:
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Hope this helps!!
- Brooklynn Deka
The point (2, 1) is on the line given by which equation below? A. y=x+1 B. y = 2x C y = 1/2x D. Y = -2x
Answer:
C. y = 1/2x
Step-by-step explanation:
We can check to see which of the equations passes through (2,1) by substituting the point's x and y values into the options, then checking to see if the result is a true statement.
Let's try this with option C, [tex]y = \frac{1}{2} x[/tex]. To substitute the x and y values of (2,1) into the equation, substitute 2 for [tex]x[/tex] and 1 for [tex]y[/tex]. Then, solve:
[tex]y = \frac{1}{2} x\\\\1 = \frac{1}{2} (2)\\1 = 1[/tex]
1 does equal 1, so the result is a true statement. Option C is the answer.
Solve equation
r/3-4=11
r = 45
r = 35
r = 33
r = 28
Answer:
r=-11
Step-by-step explanation:
A triangle has two sides that measure 5 cm and 7 cm. Select all of the following that could be the measure of the third side.
a
1 cm
b
4 cm
c
7 cm
d
11 cm
e
13 cm
f
15 cm
Answer:
4 cm, 7 cm, 11 cm
Step-by-step explanation:
The sum of two shorter sides of a triangle is always greater than the larger side.
1 cm + 5 cm < 7 cm ( can't be the third side )
5 cm + 4 cm > 7 cm ( can be )
5 cm + 7 cm > 7 cm ( can be )
5 cm + 7 cm > 11 cm ( can be )
5 cm + 7 cm < 13 cm ( can't be )
5 cm + 7 cm < 15 cm ( can't be )
Which of the following is the best estimate of √80?
Answer:
√80=4√5 is your answer look it once
if one of the factor of x2 + x - 20 is (x+5).find the other.
a.x-4
b.x+2
c.x+4
d.x-2
Answer:
a,x-4
hope it helps .....
What is the area of the shaded sector?
Answer:
24 pi
Step-by-step explanation:
A= n/360(pi r^2)
A= 135/360(pi)(8^2)
A=135/360(64)(pi)
A= 24 pi
Automated manufacturing operations are quite precise but still vary, often with distribution that are close to Normal. The width in inches of slots cut by a milling machine follows approximately the N(1,0.001)N(1,0.001) distribution. The specifications allow slot widths between 0.999750.99975 and 1.000251.00025. What proportion of slots meet these specifications
Answer:
The answer is "15.85%"
Step-by-step explanation:
The complete question is defined in the attachment file please find it.
Given:
[tex]\mu = 1\\\\\sigma = 0.001 \\\\[/tex]
Converting the Standard Normal:
[tex]\to P(X < x) = P( Z < \frac{( X - \mu )}{\sigma} )\\\\\to P ( 0.9998 < X < 1.0002 ) = P ( Z < \frac{( 1.0002 - 1 )}{0.001}) - P ( Z < \frac{( 0.9998 - 1 )}{0.001})\\\\[/tex]
[tex]= P ( Z < 0.2) - P ( Z < -0.2 )\\\\= 0.5793 - 0.4207\\\\= 0.1585\\\\= 15.85\%\\\\[/tex]
In a survey of 400 people, 65% sald they owned a dog. How many people own a dog?
Answer:
260 people own a dog.
Step-by-step explanation:
Think of the equation as this:
65% of 400 people own a dog.
Since "of" in a math equation means to multiply, replace of with a multiplication sign.
65% * 400 = 260 people own a dog.
To check you're answer, make the fraction 260/400 into a percent.
260/400 = 65%
Have a nice day!!! ;D
Guys can you please help me. If you guys see this guy and tells you to download stuff and gives you link dont trust them there a hacker his name is( Alan890426 )
Answer: ill take care of him
Step-by-step explanation:
Someone help me please
Answer:
A
Step-by-step explanation:
The answer is A ,that's how the equation is.
The soup pot is 8.5 inches tall with a radius of 4 inches
The volume of the cylinder in question is 427.26 inches.
The volume of the cylinder is 427.04 inches 2.
soup pot is 8.5 inches tall
radius of 4 inches.
Volume, is defined as the ratio of the mass of object to its density.
Volume of cylinder = 3.14r^2h
Volume of cylinder = 3.14 x 4 x 4 x 8.5
Volume = 427.04 inches 2
Thus, the required volume is 427.04 inches 2
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Please help I’ll give points + brainalist
Combine like terms in order to simplify the
expression below.
15 - 5y - 5 + 3y
A room in the shape of an octagon has a perimeter of 72 feet. What is the length of each side of the room? Let s represent the length in feet of each side of the room. Write and solve an equation for s.
Answer:
s=9
Step-by-step explanation:
8s=72
Divide 72 and 8
s=9
Step-by-step explanation:
Octagon is regular polygon meaning all sides are epual it is 8sided polygon p=72 = sides =8 each side =72÷8=9feet
he sum of two numbers is 43 and the difference is 5. What are the numbers ?
Answer:
24,19
Step-by-step explanation:
24+19=43
24-19=5
wrong its c or 15.00$
Answer:
oopssss
Step-by-step explanation:
B) Find the value of a^2 + b^2 when a = 3 and b= -2
Answer:
13
Step-by-step explanation:
a = 3
b = -2
a² + b² = 3² + (-2)²
= 9 + 4
= 13
Answer:
a) 11
b) 13
Step-by-step explanation:
a) 1 + 2(5) = 11
b) 3² + (-2)² = 9 + 4 = 13
Andre correctly solved an equation using the steps shown:
What does Andre’s work show us about the type of solution to the equation? How do you know?
PLEASE ANSWER LEGITIMATELY! THANK YOU!
Answer:
This equation has zero solutions.
Step-by-step explanation:
This equation has zero solutions because 2 is not equal to zero.
pls help :p i’m stuck
Answer:
x = 7
Step-by-step explanation:
Answer:
x= 1
Step-by-step explanation:
Add four to both sides of the equation:
10x-4+4 = 2x+4+4
Simplify:
10x = 2x+8
Subtract 2x from both sides:
8x = 8
Cancel out terms:
x=
Simplify:
x=1
Find the volume. Round to the tenth place if appropriate. *
7 cm
20 cm