Alex's times for running a mile are Normally distributed with a mean time of
5.28 minutes and a standard deviation of 0.38 seconds. Chris's times for
running a mile are Normally distributed with a mean time of 5.45 seconds
and a standard deviation of 0.2 seconds. Ten of Alex's times and 15 of Chris's
times are Tandomly selected. Let x Overbar Subscript Upper A Baseline
minus x Overbar Subscript Upper C represent the difference in the mean
times for Alex and Chris. Which of the following represents the shape of the
sampling distribution for x Overbar Subscript Upper A Baseline minus x
Overbar Subscript Upper C?
Answers
Answer: Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds. Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds. Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris. Which of the following represents the shape of the sampling distribution for x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C?
Normal, because both population distributions are Normal.
Uniform, because the both sample sizes are less than 30.
Skewed right, because the difference in times cannot be negative.
Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.
Step-by-step explanation: Can someone tell me the answer?
Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.
Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds.
Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds.
Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris.
What is the standard deviation?The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Normal, because both population distributions are Normal.
Uniform, because both sample sizes are less than 30.
Skewed right, because the difference in times cannot be negative.
Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.
To learn more about the standard deviation visit:
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What value of x is in the solution set of 8x – 6 > 12 + 2x?
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Answer:
the answers are -1, 0, 3, and 5
Step-by-step explanation:
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Answer:
12 by 20 is correct ( option a)
Find such a coefficient a for the linear equation ax –y=4, so that the graph of the equation would pass through the point M (3, 5).
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In the diagram, the measure of angle 1 is 116°, the measure of angle 2 is (8x)°, and the measure of angle 6 is (x + 12)°
What is the measure of angle 8, to the nearest degree?
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Answer:
b
Step-by-step explanation:
Answer:
20 or B
Step-by-step explanation:
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90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96 Part C: Tierney says that 40% of her ponies are over 96 centimeters in height. Is Tierney’s statement CORRECT? A. Yes, because there are 9 ponies with a height of at least 96 centimeters and that is 60% of her ponies. B. No, because there are 5 ponies with a height greater than 96 centimeters and that is about 36% of her ponies. C. Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller. D. No, because there are 4 ponies with a height of 96 centimeters and that is about 27% of her ponies.
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Answer:
Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller.
Step-by-step explanation: I think so
Here's a graph of a linear function. Write the equation that describes that function. 8 Express it in slope intercept form. Enter the correct answer.
Answers
Answer:
f(x) = [tex]\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Let the equation of the function is,
f(x) = mx + b
Here, m = slope of the line
b = y-intercept
From the graph attached,
y-intercept 'b' = 4
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{4}{8}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, equation of the function representing the graph will be,
f(x) = [tex]\frac{1}{2}x+4[/tex]
Can you explain how you got the answer as well please?
Answers
Answer:
A. 35
Step-by-step explanation:
The total amount of movies that the critic rates that we are given is 20. Now they want to figure us to figure it out with 100 movies. 20 times 5 is one hundred. We are supposed to look at the 3 star reviews, which is 7 movies. 7 times 5 is 35. Hope this helps!
Answer:
The answer is option A
Step-by-step explanation:
I have shared a file with the steps if you still can't understand so feel free to contact me through my email. Thanks.
Compute and simplify the following: (a+b+c)^3
Answers
Answer:
a^3+3a^2b+3a^2c+3ab^2+3ac^2+6abc+b^3+c^3+3bc^2+3b^2c if you want it expand
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Select three ratios that are equivalent to 7: 6.
Answers
Answer: 12:14, 21:18, 42:36
Step-by-step explanation:
49:42 (each # multiplied by 7)
21:18 (each # multiplied by 3)
Help me please. And if you can explain but if not its ok
Answers
Answer:
B. 13√3
Step-by-step explanation:
Apply pythagorean theorem:
Thus, we have:
x² = (12√3)² + (5√3)²
x² = 432 + 75
x² = 507
x = √507
x = 13√3
The mass of a basket containing 3 balls was 3.64 kilograms. The mass of the same basket and 5 balls is 5.26 kilograms. Find the mass of the empty basket in kilograms.
Answers
Answer:
1.21 kilograms
Step-by-step explanation:
Let y represent the mass of the empty basket, and x represent the mass of each ball
Create a system of equations:
3x + y = 3.64
5x + y = 5.26
Solve by elimination by multiplying the top equation by -1
-3x - y = -3.64
5x + y = 5.26
Add them together, then solve for x:
2x = 1.62
x = 0.81
Plug this back into one of the equations and solve for y:
3x + y = 3.64
3(0.81) + y = 3.64
2.43 + y = 3.64
y = 1.21
So, the mass of the empty basket is 1.21 kilograms
Answer:
1.21 kilograms
Step-by-step explanation:
Hope this helps
Marcus makes a punch that is 1/4 cranberry juice. Write two fractions that are equivalent to 1/4.
Answers
Which word phrase represents the following
expression: 5. 3?
Answers
Answer:
Step-by-step explanation:
5.3 in words is "five point three," meaning 5 3/10 ("five and three tenths."
Answer:
five dot three which means 5.3 is five dot three
1
Line A passes through the point (-2,-8) and has a slope of 2.
Line B passes through the point (5,6) and has a slope of 2.
Answers
Answer:
y=2(5 or x) +6 should be it
Step-by-step explanation:
Pls how can I round the following figures to the nearest ten, hundred, thousand (1)46,586 (2)213,340 (3)391,565
Answers
Answer:
Step-by-step explanation:
Sample Nearest 10 nearest hundred nearest thousand
1 46590 46500 47000
2 213340 213300 213000
3 391560 391600 392000
The table above is actually the answers. The rule is this:
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Answers
Answer:
y=-4x
Step-by-step explanation:.
The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is ||32|| cm||^2||.
Find the dimensions of the rectangle.
(2 marks)
cm
~ Width =
cm
O Height =
Submit Answer
Skip for Now
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a
1
in here to search
Answers
Answer: length = 8cm
Width = 4cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x
Note that, Area of a rectangle = Length × Width
Therefore,
2x × x = 32
2x² = 32
Divide both side by 2
2x²/2 = 32/2
x² = 16
x = ✓16
x = 4
Therefore, width = 4cm
Since length = 2x
Length = 2 × 4cm = 8cm
Check: length × width = Area
8cm × 4cm = 32cm²
As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed between the dock and the ship. How far is the ship from the dock?
Answers
Answer:
The distance from the ship to the dock is approximately 5.24 miles
Step-by-step explanation:
From the parameters given in the question, we have;
The angle formed between the dock and the lighthouse = 70°
The angle formed between the dock and the lighthouse at the ship = 80°
The distance between dock and the lighthouse = 5 miles (From a similar question online)
By sine rule, we have;
[tex]\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}[/tex]
Therefore, we have;
[tex]\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}[/tex]
[tex]\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}[/tex]
[tex]sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi[/tex]
Therefore;
The distance from the ship to the dock ≈ 5.24 miles
Use the give information to prove that a || b. Given 2= 6 prove a || b
Answers
Answer:
Since 2=6 is false, there is no solution.
Step-by-step explanation:
Why
is 30% of 40
and 40% of 30 the
same?
Answers
Answer:
no it's different 30% would be 12 and 40% would be 16 if it was going into 30 now mark as brainliest
Answer:
In both cases you are really multiplying the same numbers together.
Step-by-step explanation:
30% of 40 would be 30 x 40 x 0.01 = 12
or 0.30 x 40 = 12
40% of 30 would be 40 x 30 x 0.01 = 12
or 30 x 0.40 = 12
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Answers
Answer:
(a) The width is 40 inches
(b) It will not
Step-by-step explanation:
Given
[tex]D = 50[/tex] -- Diagonal
Solving (a): H = 30 --- (height).
Find the width (W)
To do this, we make use of Pythagoras theorem
[tex]D^2 = H^2 + W^2[/tex]
This gives:
[tex]50^2 = 30^2 + W^2[/tex]
[tex]2500 = 900 + W^2[/tex]
Collect Like Terms
[tex]W^2 = 2500 - 900[/tex]
[tex]W^2 = 1600[/tex]
Take square roots
[tex]W = 40[/tex]
Solving (b): Will it fit into a 30 in wide cabinet?
In (a) above, we calculated the width of the TV to be 40 inches
This implies that, the width is greater than the width of the cabinet.
So, it will not fit in
3. If
15
x+20'
what is the value of?
X
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help me plz ill give extra points
Answers
Answer:
it will turn off
Step-by-step explanation:
when it is disconceted it will cause it to shut off
hope this helps ||
v
Answer: Then the light bulb will not turn on or light up or work because the wire is disconnected and plus the switch is off
Step-by-step explanation:
Please mark me as brainliest
y = 5 4x+6y= 62 Solve forx
Answers
Answer:
x = 8
Step-by-step explanation:
4(8) + 6(5) = 62
32 + 30 = 62
62 = 62
Answer:
x = 8
Step-by-step explanation:
y = 5 and 4x + 6y = 62
4x + 30 = 62
Subtract 30 from each side:
4x + 30 - 30 = 62 - 30
4x = 32
Divide each side by 4:
4x ÷ 4 = 32 ÷ 4
x = 8
What number is 1.5% of 10.89?
Answers
el Mosaico Coffee & Garden gives a $10 gift card to spend if customers can guess the sequence of the day. Janeth arrives on a Wednesday and is given with the following sequence when she arrives to the counter: {13,4,-5,-14,-23,-32} She identified as [Drop Down 1] and the recursive rule for as [Drop Down 2].
Answers
Answer: Drop down 1: 13
Drop down 2: a_n-1_-9
Step-by-step explanation:
In the diagram below of circle 0, GO = 8 and
mZGOJ= 60°.
G
8
60°
What is the area, in terms of A, of the shaded
region?
Answers
Answer:
[tex] \frac{80\pi} [/tex]
Step-by-step explanation:
Area of shaded region = θ/360 × πr²
Where,
θ = 360 - 60 = 300°
r = 8
Plug in the values
[tex] area = \frac{300}{360} * \pi * 8² [/tex]
[tex] = \frac{5}{6} * \pi * 64 [/tex]
[tex] = \frac{5*\pi*64}{6} [/tex]
[tex] = \frac{5*\pi*16} [/tex]
[tex] = \frac{80\pi} [/tex]
evaluate the following expressions -5+2(8-12)
Answers
Answer:
[tex] - 13[/tex]
Step-by-step explanation:
1) Simplify 8 - 12 to -4.
[tex] - 5 + 2 \times - 4[/tex]
2) Simplify 2 × -4 to -8.
[tex] - 5 - 8[/tex]
3) Simplify.
[tex] - 13[/tex]
Therefor, the answer is -13.
Answer:
- 13
Step-by-step explanation:
Hope this will help
Write a general formula to describe the variation:
x varies inversely with the square root of y; x = 6 when y = 64.
Answers
Answer:
the last one
Step-by-step explanation:
What is the equation of the inverse y = x^2 + 4?