A real estate agent is working for a developer who claims that the average commute time to downtown is 20 minutes with a standard deviation of 7 minutes. Stephon is an independent real estate agent and wants to check the times for his client. He took a random sample of 15 commute times and found an average of 26 minutes. He did hypothesis testing using a significance level of 5%. Which conclusion could he make? The z-statistic is 0. 22, so the null hypothesis should not be rejected. The z-statistic is 1. 69, so the null hypothesis should not be rejected. The z-statistic is 3. 32, so the null hypothesis should be rejected. The z-statistic is 3. 67, so the null hypothesis should be rejected.
We conclude that z-score = 0.0005 which is less than 5%.
To calculate the z-statistic,
We must first calculate the standard error.
What is the formula for standard error?
Standard error is standard deviation divided by the square root of the population.
[tex]standard error=\frac{standard deviation }{\sqrt{population} }[/tex]
In this case, it is equal to 1.81.
The z-score is defined the distance from the sample to the population mean in units of standard error.
z = (26 – 20)/1.81 = 3.31
Therefore we conclude that z-score = 0.0005 which is less than 5%.
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In an amusement park ride, a rider suspended by cables swings back and forth from a tower. The maximum speed v (in meters per second) of the rider can be approximated by v=2gh, where h is the height (in meters) at the top of each swing and g is the acceleration due to gravity (g≈9.8 m/sec^2). Determine the height at the top of the swing of a rider whose maximum speed is 15 meters per second. Round your answer to the nearest tenth.
According to the equation for the maximum speed, it is found that the height at the top of the swing of the rider is of 0.8 m.
What is the equation for the maximum speed?As stated in the problem, it is given by:
v = 2gh.
In which:
v is the maximum speed.g is the gravity.h is the height.In this problem, the parameters are g = 9.8, v = 15. Hence we can solve for h to find the height.
v = 2gh
2 x 9.8h = 15
19.6h = 15
h = 15/19.6
h = 0.8.
The height at the top of the swing of the rider is of 0.8 m.
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what is the answer to
-40 = -5p
Answer:
-200 =p
Step-by-step explanation:
-40 = -5p
5 5
_______
-200 = p
Pleasee help it’s due on Monday
Answer:
1.6 × [tex]10^{10}[/tex]
Step-by-step explanation:
( 4 × [tex]10^{5}[/tex] )( 4 × [tex]10^{4}[/tex] ) = ( 4 · 4 ) × ( [tex]10^{5}[/tex] · [tex]10^{4}[/tex] ) = 16 × [tex]10^{4+5}[/tex] = ( 1.6 × [tex]10^{1}[/tex] ) × [tex]10^{9}[/tex] = 1.6 × [tex]10^{10}[/tex]
Solve and I will mark brainliest.
What is the volume of a hemisphere with a radius of 2.3 m, rounded to the nearest tenth of a cubic meter?
Answer:
25.3m³
Step-by-step explanation:
!Need answer quickly!
The preimage of the triangle (yellow) has the following coordinates:
A. (3,-4) (red dot)
B. (9,0) (yellow dot)
C. (7,-6) (blue dot)
Describe the translation from the preimage to the image and include how the x and y values of the ordered pairs changed. (Please put real answer or else I'll report you)
Answer:
(x-5;y+6)
Step-by-step explanation:
1) the difference between the coordinates before translation and after the translation is*: Δx=-5; Δy=+6, then
2) the rule of the translation is: (x-5;y+6).
* for example, the red dot. The difference for X is: -2-3=-5. The difference for Y is: 2--4=+6.
The picture shows 3/8 of Puja's penny collection.
*nine pennies*
A. What fraction of her collection is 6 pennies?
B. What fraction of her collection is 21 pennies?
The fraction of her collection that is 21pennies is 56
Ratio and proportionsGiven the fraction for Puja's collection expressed as 3/8
Leet x be the fraction of her collection which is 6 pennies, to have;
x of 3/8 = 6
3x/8 = 6
3x = 48
x = 16
Hence the fraction of her collection that is 6pennies is 16
Let y be the fraction of her collection which is 21 pennies, to have;
x of 3/8 = 21
3x/8 = 21
x = 56
Hence the fraction of her collection that is 21pennies is 56
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PLEASE HELP ILL MARK BRAINLIEST + WORTH 45 POINTS!!
Determine the area of the circle Use 3.14 for 16. Round to the nearest hundredth when necessary
Answer:
~21.23
Step-by-step explanation:
First, we divide 5.2 by 2 to get the radius. And then, we do 2.6*2.6*3.14 and get 21.2264. And since you ask to round to the nearest hundredth, we get 21.23.
Hope this helps!
Give me brainliest too ;)
Answer: 21.23
Step-by-step explanation:
The formula for finding the area of a circle is pi times radius squared.
help pls first correct answer gets brainleist
Answer:
18
Step-by-step explanation:
a^2 + b^2 = c^2
in this case 24 is a and 30 is c
24^2 = 576
30^2 = 900
900 - 576 = 324
the square root of 324 is 18
To find how high school students feel about hot lunches, adam walks to the nearest high school and gives a survey postcard to every twentieth student that enters the building. he asks the students to mail the postcard in if they choose to participate in the study. why might the method used be biased?
The statement second and statment third are the reason that method used might be biased.
It is given that Adam gives a survey postcard to every twentieth student that enters the building.
It is required to find the statement why the method used to be biased.
What is the sample size?The sample size is nothing but the number of observations in an activity or participants generally it is represented by the small letter 'n'.
Adam gives a survey postcard to every twentieth student, not every student that enters the building.
It means asking every twentieth student does not represent the student population.
Also, the opinions of students at one high school do not exactly reflect the opinions of students at other high schools.
Students that take the time to fill out the survey and send it in are likely passionate about hot lunches.
Thus, the statement second and statment third are the reason that method used might be biased.
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Answer:
B and C
Step-by-step explanation:
If you know the diameter of a circle,
how do you find the following. Explain
the steps clearly
a. the area of that circle?
b. the circumference of the circle?
Step-by-step explanation:
a. Area of a circle = πr², where r means radius.
Step 1: converted diameter to radius.
diameter = 2 radius
In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.
Step 2: substitute radius into the formula.
Area of a circle = π([tex]\frac{1}{2}[/tex]d)²
Step 3: substitute π into the formula.
some question is given the value of π), if not substitute 3.14 for π.
Area of a circle = 3.14([tex]\frac{1}{2}[/tex]d)²
Step 4: substitute d into the formula, then we can solve its area.
b. a. Circumference of a circle = 2πr, where r means radius.
Step 1: converted diameter to radius.
diameter = 2 radius
In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.
Step 2: substitute radius into the formula.
C = 2π([tex]\frac{1}{2}[/tex]d)
Step 3: substitute π into the formula.
some question is given the value of π), if not substitute 3.14 for π.
C = 2(3.14)([tex]\frac{1}{2}[/tex]d)
Step 4: substitute d into the formula, then we can solve its circumference.
Sarah answered 70% of the trivia questions correctly. What fraction describes this percent? Enter your answer as a simplified fraction The fraction that describes this percent is
Answer:
7/10
Step-by-step explanation:
70 out of 100 as a fraction would be 70/100 but since they said simplify it becomes 7/10.
This cannot be made smaller, as 7 cannot be divided into 2 evenly.
Hope this helps!
6
x
+
8
<
3
x
+
4
give your answer as an improper fraction in its simplest
6x + 8 < 3x + 4
6x - 3x < 4 - 8
3x < -4
x < - 4/3
Answer:
-4/3
Step-by-step explanation:
Candice is putting together a business outfit. There are 6 pairs of pants and 2 dress shirts to choose from. How many different outfits can Candice put together?
(PLEASE HELP)(THIS IS MIDDLE SCHOOL LEVEL EASY!) What is the surface area of the box
Answer:
C) 42 square cm
Step-by-step explanation:
each rectangle 2x3 = 6
each square 3x3 =9
4 rectangles 4x6 = 24
2 squares 2x9=18
24+18 = 42
To get your car repaired at a certain dealership in Woodstock, the rate charged is $90 per hour worked on your car, plus a $50 diagnostic fee.
1) Create an equation to find the (C)harge to fix the car:
2) If your car was worked on for 4.6 hours what would be the total charge?
3) If the total cost was $800, how many hours was the car in the shop?
Write the equation of the line that passes through the point (2, -1) and has a slope of -3.
Answer:
Y=-3x+5Step-by-step explanation:
slope is -3/1
Slope is Rise/Run
meaning 3 down and 1 right
so in this case the down means the Y-axis
and the right means the x-axis
so lets put out some points.
(2,-1)
Then 1 right and down 3
(3, -4)
(4,-7)
and soo on, but we want to fin the point where x is zero.
Why?
Because that is where the y-Intercept is at.
Slope Intercept form is y=mx+b
Where m is the slope
And b is the y- Intercept
Soooo
Let's work backwards
Instead of Right 1 and Down 3 lets do
Left 1 and Up 3
And we will be starting with our original point
(2,-1)
then left 1, Up 3
2-1=1
-1+3=2
soo...
(1,2)
then again
(0,5)
That is our Y-intercept.
Now lets put all of it together.
Y=Mx+B
M=Slope
B=Y-Intercept
Y=-3x+5
You're welcome...
SonicIsCoool, if you need more help im at your service.
I need answer this question
Answer:
5/12
is the correct answer
see my question and come there now females
Step-by-step explanation:
Goal: illustrates radius, diameter, chord, center, arc, central angle, and
inscribed angle.
Role: Garden Designer/Landscape Architect
Audience: Math Teacher
Situation: A certified plantita and backyard owner plans to have a unique
garden. As a Landscape Architect, you are asked to make a sample layout of
a circular garden. She asks you to include the following on her garden:
● well
● pond
● bridge
● fountain
● walkways
● benches or chairs
● entrance and exit gates.
● trees, ornamental plants, and herbs
Procedure:
1. Draw a circle.
2. Conceptualize a circular garden and layout using the specified
items mentioned above.
What I Can Do
9
DISCIPLINE • GOOD TASTE • EXCELLENCE
3. Label the parts of circle formed on the garden layout
Please I'm looking for a serious answer. I need to pass this on monday. Thank you.
Amy and Tina each by a coffee.
Amy gets 15p change from £2
Tina gets £2.45 change from £5
How much more does Tina pay than Amy?
Give your answer in pence.
Answer:
70p
Step-by-step explanation:
Amy-
£2.00 - £0.15 = £1.85
so Amy payed £1.85
Tina-
£5.00 - £2.45 = £2.55
so Tina payed £2.55
£2.55 - £1.85 = £0.70
which means tina payed 70p more
Find the lateral area of a cone.
Answer: B. 1178 cm²
What we are solving for:
The lateral area is, put simply, the surface area of the cone not including the bottom.
The formula is:
L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]
Height of the cone:
This calls for the height, since it is a right triangle we can use the Pythagorean theorem to solve.
a² + b² = c²
15² + b² = 25²
225 + b² = 625
b² = 400
b = [tex]\sqrt{400}[/tex]
The height is 20 cm
Solving:
Back to the formula,
L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]
L = π15[tex]\sqrt{(20)^{2} +(15)^{2} }[/tex]
L ≈ 1178.1 cm²
The lateral area of the cone is B. 1,178 cm².
A lake is 85 feet across using scale 1 inch :4 feet how many inches
Answer:
85÷4=21.25 is the anwer
What is the volume of this cone? Use 3.14 for pi and round your answer to the
nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then
explain how you calculated it.
Which symbol makes the comparisons true ? Complete the comparison -6 ? 3
[tex]======================================[/tex]
Negative numbers are always less than positive ones.
Do you remember the symbol for "less than"? That's right, "<" :)
Hence,
-6<3
Because
-6 is negative (the - sign tells us that)
3 is positive
[tex]===================================[/tex]
Notes: Hope everything is clear.Let me know if you have any questions!Answered by:~DiamondS~
9x+3=14give your answer as an improper fraction in its simplest form
Answer:
11/9
Step-by-step explanation:
Sketch the graph of y=x^2-4x+3
Answer:
see attached graph
Step-by-step explanation:
Given equation: [tex]y=x^2-4x+3[/tex]
Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]
where [tex]c[/tex] is the y-intercept
If [tex]a > 0[/tex] then the parabola opens upwards.
If [tex]a < 0[/tex] then the parabola opens downwards.
Therefore, the y-intercept of the graph is (0, 3)
To find the x-intercepts, factor the equation:
[tex]y=x^2-4x+3[/tex]
[tex]\implies y=x^2-x-3x+3[/tex]
[tex]\implies y=x(x-1)-3(x-1)[/tex]
[tex]\implies y=(x-3)(x-1)[/tex]
Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)
To determine the vertex, differentiate the equation:
[tex]\implies \dfrac{dy}{dx}=2x-4[/tex]
Set to zero and solve for x:
[tex]2x-4=0 \implies x=2[/tex]
Substitute [tex]x=2[/tex] into the original equation and solve for y:
[tex]\implies y=(2)^2-4(2)+3=-1[/tex]
Therefore, the vertex (or turning point) is at (2, -1)
if x=-2 then write the ordered pair that is a solution of 5x-3y=-25
Answer:
(2,11 2/3) or (2,(35/3))
Step-by-step explanation:
5x-3y=-25
For x = 2:
5(2)-3y=-25
10-3y=-25
-3y=-35
y = (35/3) or 11 2/3
(2,11 2/3)
Answer:
X = -2
Y= 5
You use:
5x-3(5)=-25
and
5(-2)-3y=-25
can someone help me please. I’ll give you ratings
Answer:
(c) -0.9682
Step-by-step explanation:
In quadrant II, the cosine is negative. Solving the given equation for the cosine gives ...
sin²(A) +cos²(A) = 1
cos²(A) = 1 -sin²(A)
cos(A) = -√(1 -sin²(A)) = -√(1 -(1/4)²) = -√(15/16) ≈ -0.9682
_____
The coordinates of a point on the unit circle are (cos(α), sin(α)). The attachment shows the point on the unit circle where sin(A)=1/4 in quadrant II. The x-coordinate is the cosine of the angle, about -0.97.
y = x + 2
5x - 4y = -3
Solving systems by equations
Answer: x = 5, y = 7
Step-by-step explanation:
First, put the variables together/rearrange:
y - x = 2 & 5x - 4y = -3
Cancel out variable x by multiply the first equation by 5:
5y - 5x = 10 & 5x - 4y = -3
Add equations:
y = 7
Then determine x by plugging y back into the first equation y = x + 2:
x = 5
What is the volume of this figure?
Enter your answer in the box.
ft³
Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the wider part of the L is on the bottom and the L extends up from the left side. The wider part of the L has a length of 6 ft and a width of 2 ft and a height of 3 ft. The L extends up on the left side with the total height of the figure labeled 8 ft. The taller part of the L has a length of 4 ft and a width of 2 ft.
The volume of the L-shaped figure would be the total volume of the two rectangular prisms that forms the shape.
What is the Volume of a Rectangular Prism?The volume of a rectangular prism = length × width × height
The image referred to in this question is missing, however, to find the volume of the figure that has L-shape, decompose the figure into two rectangular prism and find the volume of each rectangular prism.
The volume of the figure would be the total volume of the two rectangular prisms.
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