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
Identify the terms and like terms in the expression
t + 8 + 3t =
Answer:
jzjzhsjoqhzjs I I shxaoaas
Solve for n.
ples help me solv for n
Answer: 50 miles per hour
Step-by-step explanation: It is that because when the line passes on the one hour mark it is 50.
ei
Extend geometric sequences
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What is the next term of the geometric sequence?
250, 50, 10,
Show Calculator
Stuck? Review related articles/videos or use a hint.
Report a pro
Answer:
2
Step-by-step explanation:
Thats what I got im 99.9999% sure it's correct pls give brainy crown thing because I used real effort for this.
On Mrs. Sean's desk,
there are pink and yellow
markers. The ratio of pink
markers to total markers
is 1:3. If there are 16
yellow markers, then how
many markershare pink?
Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.
Number of yellow markers given = 16
Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:
= 1/2 × 16
= 8 markers
Therefore, the total markers will be:
= 8 + 16 = 24
In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.
Read related link on:
https://brainly.com/question/25265419
Solve for me please
Answer:
[tex]{ \rm{10x + 5y + 2z = 5}} \\ { \rm{4x - 5y - 5z = 8}} \\ { \rm{3x + 5y + 4z = 1}}[/tex]
• First find x
[tex]{ \rm{10x = 5 - 5y - 2z - - - (i)}}[/tex]
• Find y
[tex]{ \rm{4x = 8 + 5y + 5z - - - (ii)}}[/tex]
• Find z
[tex]{ \rm{3x = 1 - 5y - 4z - - - (iii)}}[/tex]
equate the three equations:
[tex]{ \rm{0z - 10= 2y}} \\ \\ { \boxed{ \bf{y = - 5}}}[/tex]
Find z
[tex]{ \rm{z = ( - 1 \times - 5)}} \\ \\ { \boxed{ \bf{z = 5}}}[/tex]
Find x
[tex]{ \rm{3x + 5y + 4z = 1}} \\ \\ { \rm{3x - 25 + 20 = 1}} \\ \\ { \rm{3x = 6}} \\ \\ { \boxed{ \bf{x = 2}}}[/tex]
Which of the numbers below is greater than zero? Select all that apply.
A)0.8
B)4.5
C)14
D)−2.25
E)−0.5
Leon and Thomas have the same number of cherries. Leon eats 5 of his cherries and has 12 cherries left. Thomas eats 9 of his cherries. How many cherries does Thomas have left?
fill in the table using this function rule. y=-10x+3
Answer:
-1 = -8
0 = 3
1 = 13
5 = 53
Step-by-step explanation:
-1 times 10 is -11
-11 plus 3 = 8
Solve for x: 34= -2
x= ????
Answer:
You haven't typed the equation correctly
x=-17
Step-by-step explanation:
solve pls brainliest
Which graph represents the function f(x)=4⋅3x?
Answer: Bottom right corner (southwest corner)
Explanation:
Plug in x = 0 to find that
[tex]f(x) = 4*3^x\\\\f(0) = 4*3^0\\\\f(0) = 4*1\\\\f(0) = 4\\\\[/tex]
This shows that the y intercept is (0,4).
Of the four answer choices, only the bottom right corner has this y intercept. Note that the curve goes uphill when moving to the right. This function is increasing which matches with f(x) being an increasing function. In other words, f(x) represents exponential growth.
On Friday, 0.325 of the students in
Keisha's math class were absent. What
percent of the students were absent?
Look at picture for choices!! Quick!!
correct answers Please!!
Answer:
114 miles
Step-by-step explanation:
Let g(x) = (x - 2)2. Find x such that g(x) = 25.
Answer:
x = 14.5
can also be written as;
x = 29/2
Step-by-step explanation:
Sam is playing a board game. He must roll dice to determine if he gets an extra turn. The probability of getting an extra turn is 6/17. Find the odds in favor of getting an extra turn.
Answer:
6 to 11
Step-by-step explanation:
By definition,
the odds in favor of getting an extra turn =
(# of chances to get an extra turn in 17 attempts) / (# of chances to not get an extra turn in 17 attempts) =
6 to (17 - 6) =
6 to 11.
Simplify t^12/t^6
A. 2
B. 6
C. 6
D. 7-2
Answer:
t
12
/t
6
=t
12−6
=t
6
if this helps your welcome
3r-(r+0.47)=3.13 solve for r
Answer:
r=1.8
Step-by-step explanation:
Answer:
2.66 = r
Step-by-step explanation:
3.13 - 0.47 = 2.66 which would equal r
Help me please i've been stuck on this question for hours.
Answer:
a) x^3 b) y^5
Step-by-step explanation:
you can combine the x's and y's to make a exponent equal to the number of x's or y's.
A coin is flipped 80 times. It lands tails 47 times. What is the P (Heads)?
percentages pls
Answer:
%41.25
Step-by-step explanation:
80 - 47 = 33
33 divided by 80
convert to percentage
someone plz help me asap I will make you brainlist
The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line, while the other is bent by reflection off a mirror. What is the value of b, correct to one decimal place? Assume that all the points in the diagram lie in the same plane.
This can solved using the cosine law which is:
c² = a² + b² - 2ab cos θ
Using the values given from the problem
6² = b² + b² - 2bb cos 112.62
And solving for b
36 = 2b² - 2b² cos 112.62
b = 3.6
The answer is the 3rd option.
Answer:
b = 3.6
Step-by-step explanation:
Connor was traveling in Mexico and is returning to his home in the United States.
He has 2,567 pesos left. The current exchange rate is 1 U.S. dollar is equal to 19.43
pesos. How many U.S. dollars will he have if he converts his leftover pesos to
dollars?
$2,567
$102.68
$132.12
$3,414
Answer:
$132.12
Step-by-step explanation:
19.43 pesos = $1
2567 pesos = ?
1. First divide 2567 by 19.43 to find the exact number of dollars:
2567 ÷ 19.43 = 132.1152856
2. Round this value to 2 decimal places:
132.1152856 ≈ $132.12
Step-by-step explanation:
19.43 pesos = 1 U.S. dollar
So 1 peso = [tex]\frac{1}{19.43}[/tex] U.S. dollar
2567 pesos = [tex](\frac{1}{19.43} )(2567)[/tex] U.S. dollar
= 132.115286 U.S. dollar
please give me a brainliest answer
In 2000 pizza costs 7.50 and in 2015 it costs 9.00 what is the percentage of change in the cost of the pizza
What is 21596 rounded to the nearest Highest Place
Answer:
if i'm correct 20,000
Step-by-step explanation:
Trina is cutting ribbon to make bows if she has 7.5 yards of ribbon and she needs 0.4 yards for each bow how many bows can she make
Answer:
She can make 18 bows.
Step-by-step explanation:
0.4 x 18 = 7.2, and you cannot go over since she only has a supply of 7.5.
Hope it helps!
Please mark brainliest if you want to, it'd mean a lot :)
Answer:
skilled readers make use context and predictionskilled readers make use context and predictionskilled readers make use context and prediction
Step-by-step explanation:
Which table shows a proportional relationship between x and y?
A.
x y
2 4
3 6
4 9
B.
x y
3 4
9 16
15 20
C.
x y
4 12
5 15
6 18
D.
x y
1 4
2 8
3 15
Answer:
c is the answer
Step-by-step explanation:
Can you help me on attached picture
Please help me with this.
Answer:
12.4
Step-by-step explanation:
do 9x11 (the cross)
then divide that by 8, so 99/8
that equals 12.375 which rounded to the nearest tenth is 12.4
Consider and define which type of slope the line has.
Answer:
think of the numbers as the grid. zero being the middle and each square being 1 2 3 4 5 6 etc to the right of 0 are your positive, -1 -2 -3 etc move to the left of that line, your other access from zero goes up to positive one positive 2 positive 3 etc, from zero down you would be negative one negative 2 negative 3 etc
Answer:
1) (-7, 8) and (-7, 0) - Undefined Slope.
2) (3, 5) and (-1, 2) - Positive Slope.
3) (2, 4) and (5, 1) - Negative Slope.
4) (6, -3) and (4, -3) - Zero Slope.
1) In the coordinates (-7, 8) and (-7, 0), we can see that the first number in both coordinates (the x point) is -7. If the x values are the same, that means that the line does not change at all horizontally/on the x-axis. The only solution to a line that passes through these points would be a vertical line. Vertical lines always have an undefined slope. To test, use the slope formula with the coordinates. y2 is the y in the second coordinate, y1 is the y from the first coordinate, x1 is the x from the first coordinate, and x2 is the x from the second coordinate.
[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]
[tex]\frac{0 - 8}{-7 - (-7)} = slope[/tex] 0 - 8 = -8 and -7 - (-7) = -7 + 7 or 0. Any number divided by 0 is undefined.
2) In the coordinates (3, 5) and (-1, 2) there isn't any obvious abnormality in the coordinates that may cause undefined or 0. We can use the slope formula to find if it has a positive or negative slope.
[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]
[tex]\frac{2 - 5}{-1 - 3} = slope[/tex] 2 - 5 = -3 and -1 - 3 = -4. [tex]\frac{-3}{-4}[/tex] simplifies to 3/4, so the slope is positive.
3) (2, 4) and (5, 1) also don't have any repeating numbers in the coordinates so we can find the slope using the formula.
[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]
[tex]\frac{1 - 4 }{5-2} = slope[/tex] 1 - 4 = -3 and 5 - 2 = 3 [tex]\frac{-3}{3}[/tex] = -1, so the slope is negative.
4) (6, -3) and (4, -3) have the same y values in them, -3. If the y value stays constant then that means the line does not move along the y-axis. This means that it must be a straight line through 1 point on the y-axis. It is a horizontal line. The slope of a horizontal line is always 0 because is straight. You can check using the slope formula.
[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]
[tex]\frac{-3 - (-3) }{4 - 6} = slope[/tex] -3 - (-3) = -3 + 3 = 0 and 4 - 6 = -2. [tex]\frac{0}{2}[/tex] = 0. The slope is 0.
Let me know if you have any questions!
Help “ASAP” 50 points… What is the length of TU? Show all work proportions.
Answer:
48 unitsStep-by-step explanation:
Similar triangles given:
ΔQPR ~ ΔUTVThe ratio of corresponding sides:
TU/PQ = UV/QRTU/60 = (20 + 60)/(60 + 40TU/60 = 80/100TU = 60*4/5 TU = 48