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
a^3/2a^0 simplify pls i need help
Answer:
a^3/2
Step-by-step explanation:
a^3/2a^0
We already know that any value to the zeroth power is 1, so we can start off by rewriting the equation as
a^3/2(1)
We also know that any value multiplied by 1 would result in itself. In this case, 2(1) is 2
Thus, our simplified expression is
a^3/2
The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball championship this year. They were so evenly matched that the game lasted 11 innings! The Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?
Answer:
11/3 = 3 2/3 innings
Step-by-step explanation:
3 pitchers = 11 innings
1 pitcher = x innings
in the first equation, divide both sides by 3 to get 1 pitcher on one side
1 pitcher = 11/3 innings = 3 2/3 innings
QUESTION 4
Round the following number to two significant digits: 137,426.9
Find the length of the hypotenuse.Round to the nearest 10th if necessary.(40pts)
Answer:
5 is our hypotenuse
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
c is our hypotenuse
[tex]3^{2} + 4^{2} = c^2[/tex]
[tex]9 + 16 = 25[/tex]
[tex]25 = c^{2}[/tex]
c = 5
5 is our hypotenuse
Answer:
x = 5
Step-by-step explanation:
[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]
WILL GIVE BRAINLIEST!!!!
Answer:
$319
Step-by-step explanation:
Usually, sales tax is proportional to the amount of the sale, so if the sales tax is a factor of 22/16 times the original tax, then the sale amount must be 22/16 times the original item cost:
(22/16)·$232 = $319
Simplify the expression 16+(−5)−6/7j−2/7j+6
Can you guys please help!!!!! I need to know what 13x4=nx26 means???!!!!????
Answer:
n = 34/13
Step-by-step explanation:
13 x 4 = n x 26
=> 68 = 26n
=> n = 68/26
=> n = 34/13
Therefore, n = 34/13
Hoped this helped.
[tex]GeniusUser[/tex]
Use distribution property to this expression
6( 5 —q) what is the answer plzzzzzz helpppppp meeeee
Step-by-step explanation:
All the steps are in the pictures. If you have any questions let me know and I'll explain in simple terms :)
The ordered pair (-3,9) is in the _______ Quadrant
Answer:
It would be located in the second quadrant
Step-by-step explanation:
The reason for this is because the x is a negative and the y is positive.
How much interest will you earn if you deposit
$4000 into an account compounded semi-annually
at 2.8% for 5 years?
Answer:
45215.31
Step-by-step explanation:
$596.6 is the interest will you earn if you deposit $4000 into an account compounded semi-annually at 2.8% for 5 years.
What is compounding?
Compounding is the process whereby interest is credited to an existing principal amount as well as to interest already paid. Compounding thus can be construed as interest on interest—the effect of which is to magnify returns to interest over time, the so-called “miracle of compounding.”
According to question,$4000 into an account compounded semi-annually at 2.8% for 5 years.
We have to find interest rate.
Formula for compound interest is [tex]P[(1+i)^n-1][/tex]
Since compounding is semi-annually,
[tex]i=\frac{0.028}{2}[/tex][tex]=0.014[/tex] (since compounding is semi-annually)
[tex]n[/tex]=number of years=[tex]5[/tex] ×[tex]2=10[/tex] years (since compounding is semi-annually)
So, compound interest
[tex]=[/tex][tex]P[(1+i)^n-1][/tex]
[tex]=4000((1+0.014)^{10} -1))[/tex]
[tex]=4000[/tex]×[tex]0.1491[/tex]
[tex]=596.6[/tex]
Hence we can conclude that,$596.6 is the interest will you earn if you deposit $4000 into an account compounded semi-annually at 2.8% for 5 years.
Learn more about compound interest here:
https://brainly.com/question/14295570?referrer=searchResults
#SPJ2
Please help me answer this
Answer:
1) 1:2 2) 3
3) 1:8 4) 2:7
5) 1:4 6) 3:7
7) 2:5 8) 3:11
9) 2:7 10) 4:7
11) 8:9 12) 7:11
13) 1:2 14) 3
15) 26:27 16) 1:40
17) 1:10 18) 1:100
19) 1000 20) 10
Step-by-step explanation:
A steep mountain is inclined 74 degrees to the horizontal and rises 3150 feet above the surrounding plain. A cable for a cable car is to be installed from a point 725 feet from the base to the top of the mountain. Find the length of cable needed.
Answer:
3546 ft
Step-by-step explanation:
First find length of base to center of mountain.
(3150*sin 16 deg)/(sin 74 deg) = ~903 ft
Then dist of point from centre of mountain
903+725=1628 ft
Then cable length
(3150^2 + 1628^2)^0.5 = ~3546 ft
The income elasticity is +2 and income increases by
20%. Sales were 5000 units, what will they be now?
Answer:
Step-by-step explanation:
The income elasticity is +2.5 and income increases by 20%. Sales were 5000 units, what will they be now? If the income elasticity is +2.5, income increases by 20% and sales were 5000 units, then the sales will increase by 20%*2.5 = 50% to 7500 units.
HELP!!
Name the property below
(2+7) +3= 2+(7+3)
A. associative
B. Commutative
Solve for t
The equation is in the photo
Answer:
[tex]\huge\boxed{t=\sqrt{\dfrac{2d}{a}}}[/tex]
Step-by-step explanation:
[tex]d=\dfrac{1}{2}at^2\\\\\dfrac{1}{2}at^2=d\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}at^2=2\cdot d\\\\at^2=2d\qquad|\text{divide both sides by}\ a\neq0\\\\\dfrac{a\!\!\!\!\diagup t^2}{a\!\!\!\!\diagup}=\dfrac{2d}{a}\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}[/tex]
At a vehicle dealership 5 cars are sold for 2 trucks. Last year the dealership sold 128 trucks how many cars did they sell?
Pls help this is the hardest one i have
I need help with this please
0.25 but half but 26:26 Its same but half of half ....
This year, a small business had a total revenue of $41,600 . If this is 28% more than their total revenue the previous year, what was their total revenue the previous year?
Answer:
Hey will you marry me? serious question
Find the value of x and y
Answer:
X=90
Y=43
Step-by-step explanation:
hope it will help goodbye
Help pllsssssss to find the vAlue of a
Answer:
a = 11
Step-by-step explanation:
As all angles on a straight line must add up to 180°:
(9a + 6) + 75 = 180
9a + 6 + 75 = 180
9a + 81 = 180
Subtract 81 from both sides of the equation:
9a + 81 - 81 = 180 - 81
9a = 99
Divide both sides by 9 to isolate a:
9a ÷ 9 = 99 ÷ 9
a = 11
Hope this helps!
Answer:
[tex]a=11[/tex]
Step-by-step explanation:
These are supplementary angles, meaning they together make up the whole measure of the angle of a straight line. A straight line is 180°, so the sum of these has to be 180° too:
[tex](9a+6)+75=180[/tex]
Then just solve for a:
[tex]9a+6+75=180\\9a+81=180\\9a=99\\a=11[/tex]
What is the difference between a credit score and a credit rating?
a.
A credit score and a credit rating are the same thing.
b.
A credit score is a measure of how much debt you have, and a credit rating is a measure of your creditworthiness.
c.
A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.
d.
A credit score is a measurement of your creditworthiness from one major credit bureau, and a credit rating is a measurement of your creditworthiness from all three major credit bureaus.
A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.
What is a credit score and a credit rating?
A credit score is a number indicating your creditworthiness. A credit score usually lies between 300 and 850. A credit score is used to estimate how likely it is that you would pay your credit.
A credit rating is a measure of in letters that expresses the credit worthiness of an individual.
Answer:
c
Step-by-step explanation:
Answer plzzz!!!!!!!!!!!
Answer:
110
Step-by-step explanation:
Know the angle for BCD which is 130.
Subtract 180 from 130 and you get angle c for the triangle which is 50
Already knowing B and C, add them both which comes up to 70
All triangle angles equal 180 so subtract 70 for 180 and you get 110
What is the equation of the line?
Y= 1/2x + 2
Y= 2x + 2
Y= 2x - 4
Y = 1/2x - 4
Answer:
y=1/2x+2
Step-by-step explanation:
What is the volume of the following cylinder?
150.72 in. 3
301.44 in. 3
75.36 in. 3
602.88 in. 3
Answer:
150.72 in³
Step-by-step explanation:
We know that
Radius = Diameter/2
Radius = 8/2
Radius = 4 in
Now,
Volume of cylinder = πr²h
=> 3.14 × (4)² × 3
=> 3.14 × 16 × 3
=> 150.72 in³
Answer:
The correct answer is option 150.72 in³.
Step-by-step explanation:
Given :
✧ Diameter of cylinder = 8 in.✧ Height of cylinder = 3 in.To Find :
✧ Volume of cylinderUsing Formula :
[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]
[tex]\star{\small{\underline{\boxed{\sf{\pink{V = \pi{r}^{2}h}}}}}}[/tex]
»» r = Radius »» D = Diameter »» V = Volume »» h = heightSolution :
Firstly, finding the radius of cylinder by substituting the values in the formula :
[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{D}{2}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{8}{2}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \cancel{\dfrac{8}{2}}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = 4 \: in}}}[/tex]
[tex]{\star{\underline{\boxed{\sf{\red{Radius_{(Cylinder)} = 4 \: in}}}}}}[/tex]
Hence, the radius of cylinder is 4 in.
[tex]\rule{300}{1.5}[/tex]
Now, finding the volume of cylinder by substituting the values in the formula :
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4)}^{2} \times 3}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4 \times 4)} \times 3}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(16)} \times 3}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times 16 \times 3}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} \times 16 \times 3}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 16 \times 3}{100}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 48}{100}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{15072}{100}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}[/tex]
[tex]\star{\small{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}}}}[/tex]
Hence, the volume of cylinder is 150.72 in³.
[tex]\rule{300}{1.5}[/tex]
Write each quotient as a single power.
[tex]a)\frac{-3^4}{3^4} = -3^{4-4} = -1[/tex]
[tex]b)\frac{(-9)^{10}}{(-9)^5} = (-9)^{10-5}= (-9)^5[/tex]
[tex]c)\frac{11^9}{11^6} = 11^{9-6} =11^3[/tex]
ok done. Thank to me :>
(422 +
+ 72 – 8) and (-2 + 3)
-
Answer:
HHSheikh Zayed road is dream of a great weekend and It is a great day ☺️ is the only thing I would like to know that you have received your name is a great day and time of year for me is the only thing I want ☺️☺️ and time again and time of reading is a great time of year for the only way we can do it in a few more days to get to get to the only thing that you have a few more days to get to the next day ☺️ is a great weekend too and time of year is the next
Step-by-step explanation:
return policy and time again and I will be in touch with you have any questions or need any further information please contact me at the only thing I would be in touch with ☺️ is the best ☺️ and time is a good time of the only thing I would
Find the equation of the line that passes thru (-1,-5) and is parallel to 3x+y=-5. Show work.
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
slope-intercept form:
[tex]y=mx+b[/tex]
Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.
[tex]3x+y=-5[/tex]
In this case, all you need to do is subtract 3x from both sides.
[tex]y=-3x-5[/tex]
Here, the slope is -3. The slope of a parallel line will also be -3.
Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.
[tex]y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8[/tex]
Finally, with the slope and the y-intercept, you can write the equation of the line:
[tex]y=-3x-8[/tex]
A television is advertised as having a 65-inch measurement. Brenan measures the width of the television while at the store and finds that it is 57 inches wide.
If the space where Brenan plans to hang the television is 32 inches high, will he have enough vertical space to hang the 65-inch television?
Answer: the answer would be C
Yes, the television is approximately 8 inches shorter than the space.
Step-by-step explanation: My name is Ebenezer Haile
Rate of change for y=5x+30
Answer:
5
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = 1 to x = 3
Answer:
c
Step-by-step explanation:
Relative Maxima means "a point that is higher than the points directly beside it on both sides", or when looking at derivatives, when the derivative of a function changes from above zero to below zero. If you're looking at a graph, all you have to do is find those points that seem to be poking out of the graph, aka c, when x=2.
Also look at the interval - (1,3), so... really, just by that, c would be your answer