Answer:
a) See step by step explanation
b) z(s) = - 2.178
c) z(c) = - 1.64
d) We reject H₀
e) The proportion of drivers has decreased
Step-by-step explanation:
We assume a survey with a random sample
Normality population
Size is big enough to use the approximation of binomial distribution to normal distribution
2019 sample:
sample size n = 963
drivers who admitted going more than 10 miles over the limit
x₁ = 315
p₁ = 315/963 p₁ = 32.71 % or p₁ = 0.3271 and q₁ = 1 - 0.3271
q₁ = 0.6729
Hypothesis Test:
a) Null Hypothesis H₀ p₁ = 36 %
Alternative Hypothesis Hₐ p₁ < 36 % or p₁ < 0.36
b) To calculate z(s) ; z(s) = ( p₁ - 0.36 ) / √ (p₁*q₁)/n
z(s) = ( 0.3271 - 0.36 ) / √ ( 0.3271* 0.6729)/963
z(s) = - 0.0329 / 0.0151
z(s) = - 2.178
c) we will use a confidence interval of 95 %. Then significance level α = 5 % α = 0.05 As the alternative hypothesis indicates we are going to develop a one-tail test
From z- table we find z(c) = - 1.64
d) Comparing z(s) and z(c) |z(s)| > |z(c)|
Then z(s) is in the rejection region for H₀ we reject H₀
e) we can support that the proportion of drivers has decreased since 2002
NEED HELP ASAP
Which equation does the graph of the systems of equations solve?
two linear functions intersecting at 3, negative 2
−one thirdx + 3 = x − 1
one thirdx − 3 = −x + 1
−one thirdx + 3 = −x − 1
one thirdx + 3 = x − 1
Answer:
[tex]\frac{1}{3}x-3=-x+1[/tex]
Step-by-step explanation:
Since there are plenty of lines that can pass through a single point, he only way to solve this question is by substituting values of [tex]3[/tex] into each equation and seeing if both equations return a value of [tex]-2[/tex].
Starting with the first answer choice:
[tex]-\frac{1}{3}(3)+3=3-1,\\-1+3=3-1,\\2=2[/tex]
Since none of the equations here return a value of [tex]-2[/tex], the correct answer must not include [tex]-\frac{1}{3}x+3[/tex] or [tex]x-1[/tex].
Thus, we can eliminate answer choices A, C, and D, hence the correct answer is [tex]\boxed{\text{B. }\frac{1}{3}x-3=-x+1}[/tex]
BET YOU CANT SOLVE THIS....
I need help please I don’t understand
9514 1404 393
Answer:
1. ∠EDF = 104°
2. arc FG = 201°
3. ∠T = 60°
Step-by-step explanation:
There are a couple of angle relationships that are applicable to these problems.
the angle where chords meet is half the sum of the measures of the intercepted arcsthe angle where secants meet is half the difference of the measures of the intercepted arcsThe first of these applies to the first two problems.
1. ∠EDF = 1/2(arc EF + arc UG)
∠EDF = 1/2(147° +61°) = 1/2(208°)
∠EDF = 104°
__
2. ∠FHG = 1/2(arc FG + arc ES)
128° = 1/2(arc FG +55°) . . . substitute given information
256° = arc FG +55° . . . . . . multiply by 2
201° = arc FG . . . . . . . . . subtract 55°
__
3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.
∠T = 1/2(arc FS -arc US)
∠T = 1/2(170° -50°) = 1/2(120°)
∠T = 60°
The center of a circle is at (6,-7) and the diameter of the circle is 22. Which of the following is the equation of the circle? (Part 1 and Part 2)
Answer:
P1.H.x²+y²=34
centre[h,k]=(0,0)
point=[3,5]
now
radius=[tex]\sqrt{(0-3)²+(0-5)²}=\sqrt{34}[/tex]
now
equation of a circle is;
(x-h)²+(y-k)²=[tex]\sqrt{34}²[/tex]
x²+y²=34
P:2I.(x-6)²+(y+7)²=121
centre[h,k]=(6,-7)
diameter=22
radius[r]=22/2=11
now
equation of a circle is;
(x-h)²+(y-k)²=r²
(x-6)²+(y+7)²=11²
(x-6)²+(y+7)²=121
What is the smallest counting number divisible by 2, 4, 5, 6, and 12
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
Solve for X.
Multiple choice!
Thank you!
Answer:
9
Step-by-step explanation:
the 2 angles create a right angle ( indicated by the little square.)
right angles have a measure of 90 degrees
hence, 90 = 72 + 2x
( note that we just created an equation that we can use to solve for x )
we now solve for x using the equation we created.
90 = 72 + 2x
step 1 subtract 72 from each side
90 - 72 = 18
72 - 72 cancels out
we now have 18 = 2x
step 2 divide each side by 2
18 / 2 = 9
2x / 2 = x
we're left with x = 9
please help thanks I will follow if you answer correctly
A population of small bottles and their contents has the following weights (in grams): 4, 2, 5, 4, 5, 2, and 6. What is the variance of bottle weight?
A. 6.92.
B. 4.80.
C. 1.96.
D. 2.33.
Answer:
D. 2.33.
Step-by-step explanation:
Given;
the weight distribution of the bottles = 4, 2, 5, 4, 5, 2, and 6
sum of the weights = 28
the mean (x) = 28/7
x = 4
the sum of square of the mean deviation is calculated as:
= (4 - 4)² + (2 - 4)² + (5 - 4)² + (4 - 4)² + (5 - 4)² + (2 - 4)² + (6 - 4)²
= 0 + 4 + 1 + 0 + 1 + 4 + 4
= 14
[tex]the \ variance \ is \ calculated \ as:\\\\\sigma ^2 = \frac{\sum (x-\bar x)^2}{n-1} \\\\\sigma ^2 = \frac{14}{7-1} = \frac{14}{6} = 2.33[/tex]
Therefore, the correct answer is D
► Find the percent change and tell whether it is a percent increase or a
percent decrease.
1 Original amount: 20
End amount: 15
2 Original amount: 30
End amount: 45
3 Original amount: 625
End amount: 550
4 Original amount: 320
End amount: 112
5 Original amount: 165
End amount: 222.75
6 Original amount: 326
End amount: 423.80
7 Original amount: 27
End amount: 38.61
8 Original amount: 60
End amount: 70.02
Answer:
1 Original amount: 20
End amount: 15
(20 - 15)/20 x 100 = (5/20) x 100 = 25% decrease2 Original amount: 30
End amount: 45
(45 - 30)/30 x 100 = (15/30) x 100 = 50% increase3 Original amount: 625
End amount: 550
550/625 =550 ÷ 625 =0.880.88 =0.88 × 100/100 =(0.88 × 100)/100 =88/100 =88% decrease4 Original amount: 320
End amount: 112
(112-320):320x100 =100 =(112:320-1)x100 =100 =35-100 = -65% decrease5 Original amount: 165
End amount: 222.75
165/222.75 =165 ÷ 222.75 ≈0.7407407407407410.740740740740741 =0.740740740740741 × 100/100 =(0.740740740740741 × 100)/100 ≈74.074074074074/100 =74.074074074074% ≈74.07% Increase6 Original amount: 326
End amount: 423.80
(423.8-326):326x100 =100 =(423.8:326-1)x100 =100 =130-100 = 30% Increase7 Original amount: 27
End amount: 38.61
(38.61-27):27x100 =100 =(38.61:27-1)x100 =100 =143-100 = 43% Increase8 Original amount: 60
End amount: 70.02
(70.02-60):60x100 =100 =(70.02:60-1)x100 =100 =116.7-100 = 16.7% Increasethe students in charge of the class booth at a carnival would like to earn $3 for every item they sell. they spent $55 for the materials to make the items. solve the inequality 3x-55_>65 which represents how many items they need to sell to make profit of at least $65
Answer:
x ≥ 40
Step-by-step explanation:
3x - 55 ≥ 65
combine like terms
3x ≥ 65 + 55
3x ≥120
divide both sides of the equation by 3
x ≥ 40
please help zkhdusjdushs
Answer:
48
Step-by-step explanation:
16×3=48
therefore the answer is forty eight
Cary calculated the surface area of a box in the shape of a rectangular prism. She wrote the equation 148 = 2 (6w + 6h + hw) to represent the width and height of the box. She solved for w and got w = StartFraction 74 minus 6 h Over h + 6 EndFraction Which of the following is an equivalent equation?
Answer:
the answer is w = 148-12h/12+2h
The equivalent equation is -
[tex]$w=\frac{74-6h}{h+6}[/tex]
We have the equation written by Carly → 148 = 2 (6w + 6h + hw) that represent the width and height of the box in the shape of a rectangular prism.
We have to solve for w.
What do you mean by Equivalent expression ?Any expression written in a form different from the original form, but gives same result for any input are called equivalent expressions.
Solve for x : [tex]$log(\frac{x}{\omega}) = 2\pi[/tex]We have -
[tex]$log(\frac{x}{\omega}) = 2\pi[/tex]
log(x) - log(ω) = 2π
log(x) = 2π + log(ω)
x = [tex]e^{(2\pi + log(\omega))} = e^{2\pi } \times e^{log(\omega)}[/tex]
According to the question, we have -
148 = 2 (6w + 6h + hw)
(6w + 6h + hw) = 74
hw + 6w = 74 - 6h
w(h + 6) = 74 - 6h
[tex]$w=\frac{74-6h}{h+6}[/tex]
Hence, the equivalent equation is -
[tex]$w=\frac{74-6h}{h+6}[/tex]
To solve more questions on Rearranging expression, visit the link below-
https://brainly.com/question/1824488
#SPJ2
what is the probability that 1 or 2 are rolled on a number cube with sides numbered 1, 2, 3, 4,
5, and 6?
Answer: [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
total sides = 6
p (rolling a 1) = [tex]\frac{1}{6}[/tex]
p (rolling a 2) = [tex]\frac{1}{6\\}[/tex]
Note:
or - add
and - multiply
∴ [tex]\frac{1}{6} +\frac{1}{6} = \frac{2}{6}[/tex]
∴ [tex]\frac{2}{6} = \frac{1}{3}[/tex]
hence, p (rolling a 1 or 2) = [tex]\frac{1}{3}[/tex]
I WILL MARK BRAINLIEST!
Two identical rubber balls are dropped from different heights. Ball 1 is dropped from
a height of 110 feet, and ball 2 is dropped from a height of 276 feet. Use the
function f(t) -16t2 + h to determine the current height, f(t), of a ball dropped from a
height h, over given time t.
Write a function for the height of ball 1.
hi(t)
9514 1404 393
Answer:
h₁(t) = -16t² +110
Step-by-step explanation:
Put the given initial height into the given formula. That will give the requested function. If the function name is supposed to be h₁(t), then rename it.
f(t) = -16t² +110 . . . . . . h = 110, the initial height
h₁(t) = -16t² +110
Find the value of X (in this picture)
Answer:
x = 89
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x+32+ 59 = 180
Combine like terms
x + 91 = 180
Subtract 91 from each side
x +91-91= 180-91
x = 89
The number of points Marcus scored in different rounds of a computer board
game is shown 236, 342, 328, 352, 352, 306, 317
What score does Marcus need in his next game to have a mean of exactly 325?
HELP FAST PLZ
Answer:583
Step-by-step explanation:
I took the test
Add - 3/x + 7y/x .
-4y/2x
-3 + 7y/x
- 10y/x
-3 + 7y/2x
Answer:
[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{x} , \frac{7y}{x}[/tex]
Required
Add
The statement can be interpreted as:
[tex]-\frac{3}{x} + \frac{7y}{x}[/tex]
Take LCM
[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]
What are the solutions to the quadratic equation below
Answer: B is the correct answer.
10t+[tex]\geq[/tex]130+3.5t
Answer:
The answer is [tex]t\geq 20[/tex].
Step-by-step explanation:
To solve the inequality, start by solving for the variable [tex]t[/tex].
To solve for the variable [tex]t[/tex], subtract [tex]3.5t[/tex] from both sides. The inequality will look like [tex]6.5t\geq 130[/tex].
Then, divide both sides by 6.5 in order to get the variable [tex]t[/tex] by itself. The inequality answer will look like [tex]t\geq 20[/tex].
Francis borrowed $20 from his dad in the morning. Later, he gave his dad 8
dollars back. What rational number represents the overall amount of money Francis still owes his dad?
Answer:
13
Step-by-step explanation:
Francis borrowed 20$ and gives his dad 8$ he owes 12$ I hope it helps :)
What is the value of (–7 + 3i) – (2 – 6i)?
–9 + 9i
–9 – 3i
–5 – 3i
–5 + 9i
Answer:
- 9 + 9i
Step-by-step explanation:
(- 7 + 3i) - (2 - 6i)
- 7 + 3i - 2 + 6i
- 7 - 2 + 9i
- 9 + 9i
Which fraction is equal to 3?
0A) 30/10
OB) 1/3
OC) 10/3
OD) 13/1
Answer:
The answer is 30/10
Step-by-step explanation:
30 divided by 10 is 3.
Consider the following sets of sample data: A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766 B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25 Which of the above sets of sample data has the larger spread
Answer:
Data B
Step-by-step explanation:
Given the data :
A: 20347, 20327, 22117, 21762, 20864, 20102, 21684, 20063, 21728, 21580, 21720, 20920, 21442, 20766
B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25
The spread of a data gives the variation in the data values of a given sample.
To obtain which data has the larger spread, we obtain the coefficient of variation. Which is the ratio of the standard deviation and the mean of the dataset.
(Standard deviation / mean) * 100%
Using calculator :
Data A :
Mean, x = 21101.5714
Standard deviation, s = 700.28925
Coefficient of Variation :
(700.28925 / 21101.5714) * 100% = 3.32%
Data B :
Mean, x = 4.24375
Standard deviation, s = 0.457006955
Coefficient of Variation :
(0.457006955 / 4.24375) * 100% = 10.77%
10.77% > 3.32%
Hence. Data B has a larger spread
A hardware store wants to enclose a 800 square foot rectangular area adjacent to its store to display gardening equipment. One side will be formed by the wall of the store. The side opposite the store will be constructed with steel fencing costing $6 per foot and the other two sides will be constructed with wood fencing costing $3 per foot. What are the dimensions that will minimize cost
Answer:
x = 20√2 ft and y = 40/√2 ft
Step-by-step explanation:
Let; x = length of steel fencing
y = length of a wood fence that is perpendicular to the store
Thus, since area is 800 ft², then;
xy = 800
Length of fence; L = x + 2y
From earlier, xy = 800
y = 800/x
Thus;
L = x + 2(800/x)
L = x + 1600/x
Now, steel fencing costing $6 per foot and the other two sides will be constructed with wood fencing costing $3 per foot. Thus, total cost is;
C(x) = 6x + 3(2y)
But y = 800/x. Thus;
C(x) = 6x + 3(1600/x))
C(x) = 6x + 4800/x
C'(x) = 6 - 4800/x²
At C'(x) = 0, the cost is minimized.
Thus=
6 - 4800/x² = 0
6x² = 4800
x² = 4800/6
x² = 800
x = √800
x = 20√2
When 0 < x < 20√2, C'(x) < 0, so we say that C(x) is decreasing
When x > 20√2, C'(x) > 0, so we say that C(x) is increasing
Thus, the cost is minimized when x = 20√2
Thus, putting 20√2 for x in y = 800/x, we have;
y = 800/(20√2)
y = 40/√2
Thus, dimensions that will minimize cost are;
x = 20√2 ft and y = 40/√2 ft
120+12314543-900-90+12
Answer:
12313685 is the answer............happy to help u
need answer !! please
Step-by-step explanation:
-5(4)+2
-20+2
-18
just put 4 on the place of x
Answer:
[tex]=-18[/tex]
Step-by-step explanation:
[tex]g(x)=-5x+2[/tex]
Let's substitute 4 for x and solve.
[tex]g(4)=-5(4)+2[/tex]
[tex]g(4)=-20+2[/tex]
[tex]g(4)=-18[/tex]
This means that when the function of [tex]g[/tex] is 4, then the [tex]x[/tex] value is [tex]-18[/tex]
Hope this helps.
Choose the most accurate answer. What is necessary in Dedoose for producing mixed methods research (e.g., analyses that include statistics)
Answer: Hello the options related to this question is missing below are the missing options
A. Themes
B. Excerpts
C. Descriptors
D. Codes
answer:
Descriptors
Step-by-step explanation:
Descriptors is a piece of data used to describe how other data are to be stored or stored. they are very necessary in Dedoose for producing mixed methods research
while a mixed method research is a type of research that uses past research data. using all possible ways
What is the volume of a sphere with a diameter of 57.1 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
so we have to use the formula 4/3PiR^3
which if we do we get the volume of
V≈97478.08
Answer:
V≈97478.08cm³
Step-by-step explanation:
Using the formulas
V=4/3πr3
d=2r
V=1/6πd3
D=1
1/6·πd3 1/6π ·57.13≈97478.07565cm³
I hope this helps. I worked hard on this one.
A large soda bottle cap has a radius of 1+2 /2 centimeters. What is the area of the bottle cap? (R the area of a circle is no where r is the radius). 1 + 2v2 A. (5-12 - square IT square centimeters
Answer:
bottle top
Step-by-step explanation:
Find the length of the third side if necessary right in simplest radical form
Answer:
[tex] \large{ \tt{❃ \: SOLUTION}} : [/tex]
The longest side , which is the opposite of side of right angle is the hypotenuse ( h ). There are two other sides, the perpendicular ( p ) and the base ( b ) .In given right triangle , hypotenuse ( h ) = [tex] \sqrt{61} [/tex] , perpendicular ( p ) = 5 & base ( b ) = ?[tex] \large{ \tt{✻ \: USING \: PYTHAGOREAN\: THEOREM : }}[/tex]
[tex] \large{ \tt{❁ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]
Plug the values and simplify![tex] \large{ ↦( \sqrt{61} })^{2} = {5}^{2} + {b}^{2} [/tex]
[tex] \large{↦ \: 61 = 25 + {b}^{2} }[/tex]
[tex] \large{↦25 + {b}^{2} = 61 }[/tex]
[tex] \large{↦ {b}^{2} = 61 - 25}[/tex]
[tex] \large{↦ {b}^{2} = 36}[/tex]
[tex] \large{↦ {b} = \sqrt{36} }[/tex]
[tex] \large{↦ b = \sqrt{ \underline{3 \times 3} \times \underline{ 2 \times 2} }}[/tex]
[tex] \large{↦b = 3 \times 2}[/tex]
[tex] \large{ \boxed{ \boxed{ \bold{↦b = 6 \: units }}}}[/tex]
Hence , the length of a third side is [tex] \boxed{ \tt{6 }}[/tex] units .✺ Never give up on something that you actually want !
۵Hope I helped! ツ
☼ Have a wonderful day / night ! ☃
# StayInAndExplore ! ☂
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Problem:Find the length of the third side if necessary right in simplest radical form.Formula:[tex]\quad\quad\quad\quad\boxed{\tt{ {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} }}} [/tex]
Remember:a = perpendicular b = base c = hypotenuseGiven:[tex]\quad\quad\quad\quad\tt{ a = 5 } [/tex]
[tex]\quad\quad\quad\quad\tt{ b = ? } [/tex]
[tex]\quad\quad\quad\quad\tt{ {c = \sqrt{61} }} [/tex]
Solution:[tex]\quad\quad\quad\quad\tt{ {( \sqrt{61}) }^{2} = \sqrt{ {(5)}^{2} + {b}^{2} }} [/tex]
[tex]\quad\quad\quad\quad\tt{ {61}= \sqrt{ {25} + {b}^{2} }} [/tex]
[tex]\quad\quad\quad\quad\tt{ 61 = \sqrt{ 25 + {b}}} [/tex]
Let's convert the "b" like this.[tex]\quad\quad\quad\quad\tt{ {b } = \sqrt{25 - 61 }} [/tex]
[tex]\quad\quad\quad\quad\tt{ {b } = \sqrt{36 }}[/tex]
[tex]\quad\quad\quad\quad\tt{ {b } = 6 }[/tex]
So the final answer is:[tex]\quad\quad\quad\quad \boxed {\boxed{\tt{ \color{magenta} {b } = 6\:units }}}[/tex]
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