Using the sample data to test the hypothesis, we have that:
The actual number of respondents who rated themselves as above average drivers is 906.The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.77% of the sample of 1176 adults rated themselves as above average drivers, that is:
[tex]0.77(1176) = 906[/tex].
Thus, the actual number of respondents who rated themselves as above average drivers is 906.
At the null hypothesis, we test if the proportion is [tex]\displaystyle \frac{7}{10} = 0.7[/tex], that is:
[tex]H_0: p = 0.7[/tex]
At the alternative hypothesis, we test if the proportion is greater than 70%, that is:
[tex]H_1: p \geq 0.7[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested.n is the size of the sample.In this problem, the parameters are [tex]\overline{p} = 0.77, p = 0.7, n = 1176[/tex].
Thus, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.77 - 0.7}{\sqrt{\frac{0.7(0.3)}{1176}}}[/tex]
[tex]z = 5.24[/tex]
The p-value of the test is the probability of finding a sample proportion above 0.77, which is 1 subtracted by the p-value of z = 5.24.
Looking at the z-table, z = 5.24 has a p-value of 1.
1 - 1 = 0.
The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.
A similar problem is given at https://brainly.com/question/24330815
A tent in the shape of a triangular prism is set up at a camping site. Use the measurements to calculate the volume of the tent. Report the answer using the correct number of significant figures. Remember, the volume formula for a triangular prism is given by V=Bh
Please helpp !! Will mark brainlest
A. 132cm2
B. 130cm2
C. 100cm2
D. 140cm2
Answer:
100 cm2
Step-by-step explanation:
The volume of the triangular prism will be 132 cubic centimeters. The correct option is A.
What is the volume of the prism?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the cube or Cuboid. The volume of the rectangular prism is calculated by the product of the triangular base and the height of the prism.
Given that the dimensions of the base of the prism are height = 4cm and base = 6 cm and the length of the prism will be 11 cm.
The volume of the prism will be calculated as:-
V= ( 1/ 2 ) b x h x L
V = 0.5 x 4 x 6 x 11
V = 132 cubic centimeter
Therefore, the volume of the triangular prism will be 132 cubic centimeters. The correct option is A.
To know more about the volume of the prism follow
https://brainly.com/question/23963432
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need help now if u will
Given f ( x ) = x + 4 and g ( x ) = √ x + 5 , determine the following. Write each answer using interval notation. Domain of f ( g ( x ) ) : Domain of g ( f ( x ) ) :
Answer:
In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.
Step-by-step explanation:
Answer:
The answers are f(g(x))=x−7 and g(f(x))=√x2−7. Explanation: This is a composition of functions. f(x)=x2−4. g(x)=√x−3.
Step-by-step explanation:
i used the pemdas treatment
Zero or undefined algebraic fractions
Answer:
Step-by-step explanation:a fraction is said to be undefined or have no meaning when the denominator is 0 .solytion determine whwn the denominator equals 0 set the denominator is zero 0 and solve
100 OOO 000
- 62431556
Answer:
37568444
hope this helps
How to solve this?With solutions
Answer:
C
Step-by-step explanation:
Step 1: Determine the value of x by using [tex]x=tan^{-1}(\frac{\sqrt{3} }{\sqrt{2}} )[/tex]
[tex]x=tan^{-1}(\frac{\sqrt{3}}{\sqrt{2} })=50.7685 degrees[/tex]
Step 2: Substitute x=50.7685 degrees into the original equation
[tex]2cos^{4}(x)-sin(x)=2cos^{4} (50.7685)-sin(50.7685)=0.320-0.7746=-0.4546[/tex]
Find the sum of A.5 B.3 C.4 D.1
Answer:
D. Maybe? brainliest suggested
Step-by-step explanation:
Who can help me with these two.?
Ask your old Brother or Sister they could help you out with this if not then wait till someone helps you on here!
solve pls brainliest
Answer:
Triangle A) acute
Triangle B) right
Triangle C) obtuse
Triangle D) obtuse
Step-by-step explanation:
Any triangle less than 90° is acute.
Triangles at exactly 90° are right triangles.
Any triangle more than 90° are called obtuse.
.45, .75, .5, .625 in greatest to least
Answer:
0.75, 0.625, 0.5, 0.45
Step-by-step explanation:
Answer:
0.75, 0.625, 0.5, 0.45
Step-by-step explanation:
542+876-65+76×5444+556-77
Answer:
=415576
Step-by-step explanation:
=1418−65+(76)(5444)+556−77
=1353+(76)(5444)+556−77
=1353+413744+556−77
=415097+556−77
=415653−77
Help help help please please
Answer:
x = 50Step-by-step explanation:
12 = 24% . x
12 = 24/100 . x
12 = 0.24x
12/0.24 = x
50 = x
Answer:
50 is the answer.
Step-by-step explanation:
12÷.24=50
to double check ur work do 50x.24 and it comes out to 12
(1)Kamlesh brought a juice bottle of 5 litres. He drank 214 litres
of juice in one day. How much juice is left in the bottle?
Answer:
I think there is a typing error it should be 214 ml
Step-by-step explanation:
1 litre = 1000 ml
5 litre= 5000ml
5000- 214= 4786
hope it helps :)
PLEASE ANSWER FAST!!!
Guys pls helpppp my project is due after 10 minuteesss
Answer: yo
Step-by-step explanation:
didnt i alr di this for you?
The number of children at the library was 3 times the number adults. The total number of people at the library was 48. How many children were at the library
A 12
B 24
C 32
D 36
Answer:
D 36
Step-by-step explanation:
Write the information algebraically
c = 3a
c + a = 48
c = children, a = adults
In the second sentence (in bold), we can replace c with 3a
c + a = 48 → 3a + a = 48
Simplify
3a + a = 48 → 4a = 48 → a = 12 (divide both sides by 4)
We can then substitute or plug in a = 12 into the original equation:
c + a = 48 → c + 12 = 48 → c = 36 (subtract 12 from both sides)
There are 36 childrenWhat are the terms in the expression 2d + 7 + 5f?
2 and 5
d and f
2d, 7, and 5f
2, 7, and 5
Answer: 2d, 7, and 5f
Step-by-step explanation: Each part of the equation that is separated by a + or - is considered a "term."
Help or don’t if so thank you
Answer: 12.60 per CD
Step-by-step explanation:
Tax 0.80 * 3 = 2.40
40.20 - 2.40 = 37.80
37.8 / 3 = 12.60
Help me plz? What is the ANSWER?
Answer:
48
Step-by-step explanation:
To solve, multiply by 6:
2*6= 12
8*6= 48
Hope this helps!
Answer:
48
Step-by-step explanation:
answer is 48 i hope it helps you
Eight less than the product of a number and three (algebraic expression)
write an equivalent expression for x^4 over 4
help
please
Answer:
1/4 · x⁴
Step-by-step explanation:
find the next two terms of this sequence.please help.
Answer:
12, 3
Step-by-step explanation:
i think so but you could wait for another answer but im not sure of my own
Answer: 28 and 20
Step-by-step explanation:
52 - 44 = 8
44 - 36 = 8
36 - [tex]x_{1}[/tex] = 8
[tex]x_{1}[/tex] = 28
28 - [tex]x_{2}[/tex] = 8
[tex]x_{2}[/tex] = 20
please give me a brainliest answer
How do you determine the number of electrons? (need the answer asap)
Question 1 options:
It is equal to the atomic mass
It is equal to the protons + the atomic number
It is the atomic mass + the atomic number
It is equal to the protons in a neutral atom
Answer:
It is equal to the protons in a neutral atom
more over
#proton =#electrons=atomic number
Answer:
It is equal to the protons in a neutral atom
Three consecutive integers have a sum of 45. Find the integers.
Answer:
14,15,16
Step-by-step explanation:
Call n the first integer so you get:
n+(n+1)+(n+2)=45
3n+3=45
3n=42
n=14
The integers are:
14,15,16
Answer:
14,15,16
Step-by-step explanation:
Let the integers be x, (x+1),(x+2)
So,
x+(x+1)+(x+2)=45
x+x+1+x+2=45
3x+3=45
3x=45-3
x= 42/3
x=14
Now put the value.
x= 14(x+1)= 14+1= 15(x+2)=14+2= 16Now, Add these integers
you'll get
14+15+16=45
A baseball game has a total
Answer:
The first statement is correct. only the team pitching has to make the 3 outs and once they do they switch positions
Step-by-step explanation:
the team pitching cannot score and once the batting team gets 3 outs then they switch positions, all the way until the end of the 9th inning
HELPPPPPPPPPPPPPPPppppppppppppp
The blue area on the graph are all the possible solutions. The chili beans need to be less than 3 and the corn husks need to be less than 7
Answers are: A, B, C and E
******Please help me help please help me ******
9514 1404 393
Answer:
y = 8
Step-by-step explanation:
If the variation is direct, any multiplier of the x-value will also multiply the y-value.
old value × -1 = new value
x: 4 × -1 = -4
y: -8 × -1 = 8
The new value of y is 8.
pls I need help I need it
Answer:
You would need 23 inches to build it
How to find the Smallest value?
3/8
3/4
1/2
7/8
5/6
Answer:
Make all fractions have the same common denominator, and you will find that 3/8 is the smallest value.
Step-by-step explanation:
1. What reasons did the members of the Constitutional Convention have for creating the Electoral College?
2. How have voters in America changed since the Constitution was created?
3. Should the Electoral College continue to be used? Why or why not? Use examples from your research to support your answer.
Please help me~!!
Answer:
Non veg se mujhe Run movie ka kawuaa biryaani yaad aa gya
Step-by-step explanation:
Accha bhai koi mujhe batao
Pahle murgi ya anda
Wait your answer
help me out with this problem ?
Answer:
(-4.5, 2.5)
Step-by-step explanation:
The solution for two graphed linear equations is the intersection (The point where two lines meet or cross).