A survey of licensed drivers inquired about running red lights. One question asked, "Of every 10 motorists who run a red light, about how many do you think will be caught?" The mean result for 880 respondents was
¯x= 1.92. Suppose we know that σ = 1.83. Compute a 95% confidence interval for the mean opinion in the population of all licensed drivers. (Round your answer to the nearest hundredth.)
Answer: (0.79, 3.05 )
Step-by-step explanation:
Confidence interval for the population mean:
[tex]\overline{x}\pm z^c\dfrac{\sigma}{\sqrt{n}}[/tex]
, where [tex]\overline{x}[/tex] = Sample mean
[tex]\sigma[/tex] = population standard deviation
n= sample size.
[tex]z^c[/tex] = Critical z value for confidence interval c.
As per given:
n= 10
[tex]\overline{x}=1.92[/tex]
[tex]\sigma=1.83[/tex]
Critical z-value for 95% confidence = 1.96
A 95% confidence interval for the mean opinion in the population of all licensed drivers:-
[tex]1.92\pm (1.96)\dfrac{1.83}{\sqrt{10}}\\\\=1.92\pm1.134\\\\= (1.92-1.134,\ 1.92+1.134)\\\\\approx(0.79,\ 3.05 )[/tex]
Hence, a 95% confidence interval for the mean opinion in the population of all licensed drivers = (0.79, 3.05)
what are two types of inconsistent equations?
Answer:
when there is no solution to the equation and when you have parallel lines
What is the slope of the line that passes through the points (2, -3) and (5, 1)?
1.-2/3
2.2/3
3.-4/3
4.4/3
Answer:
4/3
Step-by-step explanation:
To find the slope you use the equation y2 - y1 / x2 - x1. This means you take the y variable from your 1st point and subtract it from the y variable from the 2 one. ex: 1 - (-3) = 4 And then put it over the x variable from the first one subtracted from the x variable of the second one ex: 5 - 2 = 3 -> 4/3. If possible, simplify, but if it's like this one you don't have to.
Find the slope of the lines that passes through the points (-8,-11) and (17,4).
Answer:
[tex]\displaystyle m=\frac{3}{5}[/tex]
Step-by-step explanation:
The slope of a line.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-8,-11) and (17,4).
[tex]\displaystyle m=\frac{4+11}{17+8}[/tex]
[tex]\displaystyle m=\frac{15}{25}[/tex]
[tex]\mathbf{\displaystyle m=\frac{3}{5}}[/tex]
Select the correct answer. What is 8,400 divided by 7? A. 1,200 B. 1,300 C. 1,700 D. 1,900
Answer 8400 divided by 7 is 1200
The Following tile floor pattern is made of 36 square tiles.
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[][][][]
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[][][][] 42.75 Inches
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Which is the side length. in inches of one tile?
A 1.25
B 4.25
C 4.75
D 10.75
Multipy 2/6 by 1/5
A) 2/15
B) 2/11
C) 1/15
D) 3/15
Answer:
[tex]\huge\boxed{\frac{1}{15} }[/tex]
Step-by-step explanation:
[tex]\sf= \frac{2}{6} * \frac{1}{5} \\\\=\frac{2*1}{6*5} \\\\=\frac{2}{30} \\\\= \frac{1}{15} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Answer:
C
Step-by-step explanation:
[tex]\frac{2}{6}*\frac{1}{5}=\frac{1}{3}*\frac{1}{5} = \frac{1}{15}[/tex]
Find the GCF of each pair of monomials.
c. 42mn, 14mn
Answer:
7
Explanation:
7 is the main number that would go into 14 and 42.
Evaluate the factorial expression.
19!
16!(3 – 1)!
Answer:
I believe it would be 2907
Step-by-step explanation:
starting with (3-1)! you would get 2, then going on to 16! you would get 20,922,789,888,000, then multiplying that with 2 you would get 41,845,579,776,000, then moving onto the 19! you would get 121,645,100,408,832,000, now last but not least to devide 41,845,579,776,000 by 121,645,100,408,832,000, and to that you would get 2907 hope this helped!
an employee works 22 days per month. if they work an average of 8 1/4 hours per day how many hours do they work per month?
Answer:
181 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find how many hours they work per month multiply the amount of hours they work each day by the amount of days they work in a month:
[tex]22 *8\frac{1}{4} = 181\frac{1}{2}[/tex]
They work [tex]181\frac{1}{2}[/tex] hours per month.
Hope this helps :)
Let H = the amount of hours the employee works per month.
H = 22 • 8_1/4
H = 22 • 33/4
H = 11 • 33/2
H = 363 ÷ 2
H = 181.5 hours per month
Which function is shown in the graph below?
Answer:
D
Step-by-step explanation:
As you can see, the range of the graph is all real numbers greater than -4. Therefore you can tell that -4 will have to be in the equation leaving only options B and D. When graphing B and D, D fits the image.
what number gives a result of -4 when 10 is subtracted from the quotient of the number and 5
What is the solution set of x/4 is less than 9/x?
Answer:
D
Step-by-step explanation:
[tex]\frac{x}{4}\leq \frac{9}{x} \\x\leq \frac{36}{x} \\let x<0\\x^2\geq 36\\|x|\geq 6\\x\leq -6~and ~x\geq 6\\but~x<0\\so~x\leq -6\\again~let~x> 0\\\\x\neq ~0\\x^2\leq 36\\|x|\leq 6\\-6\leq x\leq 6\\as~x>0\\so~0< x\leq 6[/tex]
combininig the two cases
x≤-6 and 0<x≤6
Solve for X......:) <3
Answer:
x = 88
Step-by-step explanation:
All angles in a triangle equal 180 degrees. So our equation will be:
x + 48 + (x - 44) = 180
x + 48 + x - 44 = 180
2x + 48 - 44 = 180
2x + 4 = 180
2x = 176
x = 88
Hope this helps!
Please hurry!!!!
Will give brainly
100 points!!!!!!!!!!
Solve the equation.
-X + 8 + 3x = x - 6
x = -18
x = -14
x = 2
x= 4
[tex]\sf \longmapsto-x + 8 + 3x = x - 6[/tex]
Combine like terms[tex]\sf \longmapsto(−x+3x)+(8)=x−6[/tex]
[tex]\sf \longmapsto2x+8=x−6[/tex]
Subtract x from both sides[tex]\sf \longmapsto2x+8−x=x−6−x[/tex]
[tex]\sf \longmapsto \: x+8=−6[/tex]
Subtract 8 from both sides[tex]\sf \longmapsto \: x+8−8=−6−8[/tex]
[tex]\sf \longmapsto \: x=−14[/tex]
[tex] \sf \: x = - 14[/tex]
Answer:
x = -14
Step-by-step explanation:
Equation:
-x + 8 + 3x = x - 6
Solution:
-x + 8 + 3x = x - 62x+8 = x-62x - x +8 = -6x + 8 = -6x = -6-8x = -14Second choice is accurate.
i need help if you help ill give prize
Answer:
21 oz!
Step-by-step explanation:
21 Tons would be 42,000 pounds, so 21 oz would be the right choice.
Which is the correct answer choice?
Answer:
second one I think is best for you to do
Answer: Plain coffee
Step-by-step explanation:
The two branches (2 and 3) divide into the two drinks of the sale. Since espresso is already in the diagram and coffee is not, and coffee is independent from espresso, coffee is found in box 1.
It’s you birthday and you bought a giant sandwich to feed all of your guests. The sandwich is 10 1/2 feet long and you need to feed 14 people. If everyone gets a same sized piece how big is the piece going to be?
I NEED THIS ANSWER ASAP PLZ
Answer: [tex]1\dfrac{3}{4}\text{ feet}[/tex]
Step-by-step explanation:
Given: Length of sandwich = [tex]10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}[/tex]
Total people = 14
If everyone gets a same sized piece , then length of each piece should be
[tex]\dfrac{\text{ Length of sandwich}}{\text{Total people}}[/tex]
[tex]=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}[/tex]
Hence, length of each piece = [tex]1\dfrac{3}{4}\text{ feet}[/tex]
what is the value of x?
Answer:
12
Step-by-step explanation:
Answer:
In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.
Step-by-step explanation:
Factor 2x^4 + 2x^3 - x^2 - x
In our planet Earth 361,419,000sq km of area covered with water and
148,647,000sqkm is covered by land. Find the approximate ratio of area covered
with water to area covered by land by converting these numbers into scientific
notations
The Ratio of area covered with water to area covered by land is 2.43 * 10⁰
Area covered by water = 361,419,000 km²
Area covered by land = 148,647,000 km²
Ratio of area covered with water to area covered by land is:
Ratio = 361,419,000 km² / 148,647,000 km² = 2.43 * 10⁰
The Ratio of area covered with water to area covered by land is 2.43 * 10⁰
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PLEASE HELP! NUMBER TWO PLEASE!!
PLEASE SHOW ME HOW YOU DID IT! THANK YOU BUNCHES xoxo
Answer:
I will demonstrate the first two for you. The answer is 6, 30, 54, 78, 102.
The answer to the second question is -3, 21, 45, 63, 93.
Step-by-step explanation:
Pardon the messiness. I hope this clarifies how to do it from now on! If not, please let me know if you need more help! xoxo
Question 2: At a swimming pool the ratio of those wearing sunscreen to
those not wearing sunscreen was 7 to 5. If the number of people not
wearing sunscreen was 30 then which of the following was the number of
people who were wearing sunscreen? *
—————————-
25
36
38
42
Answer:
42
Step-by-step explanation:
1. Ericka owns a square lot with a land area 237 square feet. To the nearest
hundredths of a foot, what is the side length of the kitchen floor?
2. Aevryn wants to use this tile to finish the floor in her room. The room is a
square room and the area of the floor is 441 square feet. She wants to put
8° tiles along the edge of the floor.
a. What is the length of one side of the room?
b. How many tiles can she fit along one side?
3. You use one gallon of white paint to apply a base coat of paint on a square
wall mural. The paint covers 380 square feet per gallon. Estimate the side
length of the mural to the nearest hundredths of a foot.
Answer:
no se te entiende nada.
:v
The domain is 0. 1, 2, 3, 4, and 5. What is the range?
The range of the domain 0. 1, 2, 3, 4, and 5 would be 5.
What is a range?When the sample maximum and minimum are subtracted, the range of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.
The lowest and largest numbers in the set of data are subtracted to determine the range. Here, the numbers are 0 and 5. Thus, after subtraction, you get 5.
The range will be calculated as:-
Range = 5 - 0
Range = 5
Hence, the range will be 5.
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Which symbol correctly compares these two fractions? 7/8 and 2/3
Answer: >
Step-by-step explanation:
7 eights is greater than the amount of 2 thirds.
The answer to the question is >. Hope this helps!
HELP! THIS IS DUE TODAY AND ITS A TEST!
Jack needs 7.58 meters of wood to complete a school project. He buys a 2.25 meter plank of wood and a 3.12 meter plank of wood. How many more meters of wood does Jack need to buy for his school project?
Answer:
2.21
Step-by-step explanation:
Total meters of wood = 7.58
first time shopping: 2.25
second time shopping: 3.12
total = 2.25 + 3.12
total = 5.37
How many more meters of wood does Jack need to buy for his school project?
Meters needed = 7.58 - 5.37
Meters needed = 2.21
5. If Peppermint Patty brought 5 pumpkin pies (that each had 8 slices in them), how many
pieces of pie would each person at the dinner get to eat? (hint-use your answer from #4
to help you).
Someone pls help me immediately
Answer:
Well, I dont know how many people there are, but she would have 40 slices of pie if she bought 5 pies with 8 slices each.
Step-by-step explanation:
5 x 8 = 40
5+5+5+5+5+5+5+5=40
What type of function can be used to determine side length of a square if the independent variable is the square's area?
a. Cubic
b. Linear
c. Quadratic
d. Square root
Somebody please help
Answer:
Line A slope = 3/2
Line B slope = 2
Step-by-step explanation:
We create the triangles they request for each line, as shown in the attached image, which we use to calculate the vertical change (height of the triangle) and horizontal change (base of the triangle). The height and base of the triangles (depicted in red and blue matching the color of the lines) have been highlighted for easy identification.
We estimate the vertical and horizontal changes, as well as the slope, for each line as shown below:
Line A:
vertical change = (6 - 3 ) = 3
horizontal change = (2 - 0) = 2
slope of line A = 3 / 2
Line B:
vertical change = (6 - 4) = 2
horizontal change = (3 - 2) = 1
slope = 2 / 1 = 2