Answer:
(-√8, 0), (-√2, 0), (√2, 0), (√8, 0)
Step-by-step explanation:
Among 2165 passenger cars in a particular region, 235 had only rear license plates. Among 330 commercial trucks, 50 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.10 significance level. Identify the P-value. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate Group of answer choices
Using the z-distribution, it is found that the p-value is of 0.0192.
At the null hypothesis, it is tested if commercial trucks owners do not violate laws requiring front license plates at a higher rate than owners of passenger cars, that is, the subtraction is of at most 0, hence:
[tex]H_0: p_2 - p_1 \leq 0[/tex]
At the alternative hypothesis, it is tested if commercial truck owners violate the laws more, that is, the subtraction is positive, hence:
[tex]H_1: p_2 - p_1 > 0[/tex]
For each sample, the size, the proportion and the standard error are given by:
[tex]n_1 = 2165, p_1 = \frac{235}{2165} = 0.1085, s_1 = \sqrt{\frac{0.1085(0.8915)}{2165}} = 0.0067[/tex]
[tex]n_2 = 330, p_1 = \frac{50}{330} = 0.1515, s_1 = \sqrt{\frac{0.1515(0.8485)}{330}} = 0.0197[/tex]
For the distribution of differences, the mean and the standard error are given by:
[tex]\overline{p} = p_2 - p_1 = 0.1515 - 0.1085 = 0.043[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0067^2 + 0.0197^2} = 0.0208[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which [tex]p = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.043 - 0}{0.0208}[/tex]
[tex]z = 2.07[/tex]
The p-value is found using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is more than a value, with z = 2.07.
Using the calculator, the p-value is of 0.0192.A similar problem is given at https://brainly.com/question/15545277
An angle measures 13.8° more than the measure of its complementary angle. What is the measure of each angle?
When sum of two angles is 90°, then each of those two angles will be considered to be the complementary angle of each other.Example : 60° and 30° are two angles, and their sum is 90°. So, 60° and 30° are complementary angles.
[tex]\qquad[/tex]____________________
Explanation :-Measure of an angle is 13.8° more than the measure of it's complementary angle. We are asked to find measure of each angle!Solution :-One of the complementary angles be "x" . Then the other angle becomes " (x + 13.8)° "Sum of these two angles is equal to 90° . Since they are complementary angles.[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x\ +\ x\ +\ 13.8°\ =\ 90⁰} }[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x + 13.8° = 90° [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 90° - 13.8° [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 76.2° [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel{\dfrac{76.2°}{2}} [/tex]
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = 38.1° }[/tex]
Then –
[tex]\qquad[/tex][tex] \bf \longrightarrow x +13.8° [/tex]
[tex]\qquad[/tex][tex] \tt \longrightarrow 38.1° + 13.8° [/tex]
[tex]\qquad[/tex][tex] \tt \longrightarrow 51.9° [/tex]
The measures of the two given angles is 38.1° and 51.9°.[tex]\qquad[/tex]______________________
212 + 115 × 6 + 968 HELP ME please!
Answer:
1870
Step-by-step explanation:
Answer : 1,870
Step - by - step explanation :
When there is multiple math signs in a problem you use PEMDAS . . .
Parentheses, Exponents, Multiplication and Division ( from the left side to right ), Addition and Subtraction ( from the left side to right )
212 + 115 x 6 + 968 --> 212 + 690 + 968
212 + 690 + 968 --> 902 + 968
902 + 968 --> 1,870
Expand and simplify
(7-3x) (6x + 1)
Answer:
-18x^2+39x+7
Step-by-step explanation:
Can anyone find all for me please ?
Answer:
It's a good question I seen thank you so much for your help and support me in the morning and have a talk
Guys please i need help on this, i will give brainliest to the right answers
Answer:
3x + 3
Step-by-step explanation:
yeah-ya........ right?
Help please and thank you
Answer:
Perimeter of trapezoid ABCD is 22.8
Step-by-step explanation:
6 + 6 + 8.2 + 2.6 = 22.8
I hope this helps!
If ^ ABC ≈ ^ DEC, what is the value of x?
Answer:
D. x=1
Step-by-step explanation:
4x-1=x+2
you cancel out the 1 by adding it to both sides so then it will be 4x=x+3
then subtract x by both sides then it will be 3x=3
then simplify then it will be x=1
Which term is defined as the distance from the center of a circle to any point on the circle?
A. Directrix
B. Diameter
C. Circumference
D. Radius
Answer:
radius is the distance from the center of circle to any point of the circle.
change 93 to base 4
A bag contains three green marbels and eight white marbels. suppose in marble is randomly selected. what are the odds in favor of picking a white marble?
A. 8 to 3
B. 8 to 11
C. 3 to 8
D. 3 to 11
Answer:
A. 8 to 3
Step-by-step explanation:
since its in favor, the amnt of white marbles goes first.
please help w math…
Answer:
x= -3 and 0
Step-by-step explanation:
Where the function crosses the x axis, or y=0
In a chess club there are 10 males and 15 females. What percentage of the club is females?
Answer:
60%
Step-by-step explanation:
15 out of 25 is 60%
25 is the total people in the club
Hope this helps
please help ill mark brainliest
Answer:
I think its A ratio reduced, since a scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.
Answer:
It isn't either of the first two. My best guess would be the units of a ratio, (sorry if it's actually a ratio reduced). It's worded very weirdly
Randy jog 3 1/2 miles in 3/4 hours write a common ratio as miles to hours
Answer:
3.5: 0.75 is the aswee
Step-by-step explanation:
I just turned into improper then decimal
pls give me brainliest
Two numbers multiply to be 0 and add to be -81?
Answer:
0 and -81
Step-by-step explanation:
So, we know anything times zero is zero, and anything added or subtracted to zero would give you that number, meaning one of these numbers is zero.
Zero plus -81 will give you the same number, -81, and zero times -81 will give you zero since anything added to or subtracted to zero is that number.
(–5) + [(–3) + (–2)] = [(–5) + (–2)] + (–3) answer it fast as you can
which coasts the most per disk a 10 pack for 5.99 , a 25 pack for 12.50 or 50 pack for 18.75
Answer:
25 disc for 12.50 is the most.
Step-by-step explanation:
You would have see how much each cost for one.
1. 10 for 5.99.
5.99 ÷ 10 is 0.599. So basically .60 cents.
2. 25 for 12.50.
12.50 ÷ 25 is 2. So basically 2 dollars per disc.
3. 50 for 18.75
18.75 ÷ 50 is 0.375. So basically .38 cent.
Now compare them.
1. 0.60
2. 2
3. 0.38
25 disc for 12.50 is the most.
Pre college need helppp
Answer:
check online for more information
emma is finding 7/2 x 2/5
Answer:
14/10
OR
7/5
Step-by-step explanation:
(7*2)/(2*5) = 14/10
(14/2) / (10/2) = 7/5
Answer:
Mixed fraction: 1 2/5
Decimal form: 1.4
Hope this helps :)
Larry is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Larry's inputs and the corresponding outputs displayed by the calculator: (1, 5), (2, 9), (3, 13), (4, 17) Which of the following functions best represents the rule that the calculator uses to display the outputs?
Answer: The answer is c. f(n)=4n+1
Homer paid $6.72 for a dozen donuts. Identify the unit rate. a. $1.79 c. $0.52 b. $1.12 d. $0.56
Answer:
d. 0.56
Step-by-step explanation:
6.72/12=0.56
the unit rate is just the cost for one.
A therapist wants to study the effects of yoga and meditation on stress relief. She has 60 volunteers who experience varying levels of stress. Half of the participants will be assigned to practice yoga for one month and the other half will practice meditation. Before the experiment begins, all of the participants will be asked to rate their stress levels on a scale from 0 to 10, with 0 representing "no stress” and 10 representing "highest level of stress.” At the end of one month, the participants will be asked to rate their stress level again. The differences in stress levels will be compared. Which of the following describes a completely randomized design for this experiment?
Answer:
The answer is C
Step-by-step explanation:
I got a 100% on edge
Answer:
The answer is "Yes, but the effects of the first treatment may affect the results of the second treatment."
Step-by-step explanation:
got it right on edge
Simplify: 5 + p > 3
A.p < 8
B.p > 8
C.p < - 2
D.p > - 2
Answer:
D) p > -2
Step-by-step explanation:
5 + p > 3
5 + p - 5 > 3 - 5
p > -2
answer this pleaseEeeeeeee
Answer:
no solution ?
Step-by-step explanation:
Answer:
Infinitely many solutions because the system of equations are the exact same.
11. Scott made 21 treat bags for his sister's birthday party. Each treat bag has the same
number of items inside. He used another 14 items after that. Write an expression to represent
the total number of items Scott used for the treat bags.
Answer:
21 x n + 14
Step-by-step explanation:
The number of items in each bag times the number of bags plus the 14 items.
James joins Club One which charges a monthly membership of $19.99. In 6 months, will he spend less than $120 in all?
Yes because if you do 19.99 times 6 you get 119.94
Please Help - For the equation given below, evaluate y′ at the point (−1,2).
ey+19−e2=3x2+4y2.
y′ at (−1,2) =
[tex]e^y +19-e^2 = 3x^2 +4y^2\\\\\implies \dfrac{d}{dx}(e^y +19-e^2) = \dfrac{d}{dx}(3x^2 +4y^2)\\\\\implies e^y \dfrac{dy}{dx}+0 = 3\dfrac{d}{dx} x^2 +4\dfrac{d}{dx} y^2\\\\\implies e^y y' = 6x + 8y y'\\\\\implies e^y y' -8yy' = 6x\\\\\implies y'(e^y -8y) = 6x\\\\\implies y' = \dfrac{6x}{e^y -8y}\\\\\text{At point (-1,2)}\\\\y' = \dfrac{6(-1)}{e^2 -8(2)} = - \left(\dfrac{6}{e^2 -16}\right) =-0.25[/tex]
how do i solve for this?
Help help help math math
Answer:
Step-by-step explanation:
You already have the slope. It is + 1 as in y = (+1)x when you have been given
y = x + b
That means all you need do is subtract to find out what b is
y = x + b
x = 5
y = 11
Difference is 11 - 5 = 6
Try it a couple more times.
x = 10
y = 16
y = x + b
16 = 10 + b Subtract 10
16 - 10 = b
b = 6 just as it did before.
y = x + b
x = 20
y = 26
26 = 20 + b Subtract 20
26-20 = b
b = 6
So ? = 6