Answer: If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.
Step-by-step explanation:
Given: The correlation coefficient between class attendance and number of problems missed on an exam is –0.77.
When correlation coefficient is negative it means negatively correlation.
i.e. If independent variable increases dependent variable decreases or vice-versa
Also, its absolute value is larger than 0.7 it means it indicates a strong correlation.
VariablesIndependent: class attendance
Dependent: problems missed on an exam
So by correlation coefficient , correct interpretation would be:
Student with high class attendance is less likely to miss problem on an exam.
i.e. If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.
4. Describe how you can tell by looking at the graph of a function
which variable is the input variable and which is the output variable.
Answer: The variable in the vertical axis (or y-axis) is the output
The variable in the horizontal axis (or x-axis) is the input.
Step-by-step explanation:
Usually, a graph of a function y = f(x) is represented in an X-Y coordinate axis.
An X-Y coordinate axis is conformed by two perpendicular lines, one vertical (y-axis) and one horizontal (x-axis)
The vertical axis (or the y-axis) is the output, and the horizontal axis (or the x-axis) is the input.
This method will work almost always, as is standardized that the x-axis corresponds to the input, and the y-axis corresponds to the output.
Work out the value of v when u = 4 and t = 3 v=u+10t
Answer:
v=u+10t
u=4
t=3
v=4+10*3
v=4+30
v=43
Find the distance d(P1, P2) between the points P1 and P2. P1 = (-4, -3); P2 = (2, 2)
Answer:
[tex]\sqrt{61}[/tex] ≈ 7.81
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P1(- 4, - 3) and (x₂, y₂ ) = P2(2, 2)
d = [tex]\sqrt{(2+4)^2+(2+3)^2}[/tex]
= [tex]\sqrt{6^2+5^2}[/tex]
= [tex]\sqrt{36+25}[/tex]
= [tex]\sqrt{61}[/tex] ≈ 7.81 ( to 2 dec. places )
The distance between P₁ = (-4, -3) and P₂ = (2, 2) is 7.810
Distance between two points:The distance between two points is the shortest length between two points.
Given P₁ = (-4, -3) and P₂ = (2, 2) are the two points
Formula: Distance between two points (x₁, y₁) and (x₂, y₂)is [tex]\sqrt({x_{2}-x_{1})^{2} )+({y_{2}-y_{1})^{2} }[/tex]
Here, (x₁, y₁) = (-4, -3) and (x₂, y₂) = (2, 2)
The distance between P₁ and P₂ is[tex]\sqrt({2}-(-4_}))^{2} )+({2}-(-3)})^{2}[/tex]
=[tex]\sqrt({(2+4)^{2} } +(2+3)}^{2})}[/tex]
= [tex]\sqrt({6^{2} } +5^{2})[/tex]
= [tex]\sqrt({36}+25)[/tex]
= [tex]\sqrt{61}[/tex]
= 7.810
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What is the perimeter of the given figure?
A.19pie inches
B. 24 + 5pie inches
C. 29pie inches
D. 14 + 5pie inches
Answer:
D.
Step-by-step explanation:
The length of the unmarked side of the triangle is found by using Pythagoras:
x sqrt (10^2 - 6^2)
= sqrt 64
= 8.
The length of the curved part = 1/2 * pi * 10 = 5pi
Perimeter = 8 + 6 + 5pi
= 14 + 5pi
Answer:
D. 14 + 5π inches
Step-by-step explanation:
1. solve for the side of a triangle using Pythagorean = [tex]\sqrt{(10^2 - 6^2)}[/tex] = 8 in.
2. circumference of a half circle = πd /2 = π*10 / 2 = 5π in.
3. total perimeter = (8 + 6) + 5π = 14 + 5π
therefore, the answer is D. 14 + 5π inches
Find the mean distance (○｀ 3′○)
Answer:
10,724.3 mi
Step-by-step explanation:
The mean distance travelled daily by Ling is the sum of the distance travelled each day divided by the number of days travelled so far.
Mean distance = [tex] \frac{10,150 + 10,211 + 10,424 + 10,769 + 10,884 + 11,155 + 11,477}{7} [/tex]
Mean distance = [tex] \frac{75,070}{7} = 10,724.3 mi [/tex] (approximated to nearest tenth)
According to Nasa, when the International Space Station (ISS) is at an altitude of 385 kilometers, it travels at about 17,178 miles per hour. After how many hours of travel will the ISS reach a star that is 1.8 lightyears away? Recall that 1 light year = 9.5 ∙ 1012 kilometers and 1 kilometer = 0.62 miles. In your final answer, include all of your calculations.
Answer:
Supposing the ISS travels at a constant speed, then use the relation,
t=space/velocityt=space/velocity
Then you will obtain,
t=1.65\cdot 10^9\ hourst=1.65⋅109 hours
How many pounds are in 2 tons 1, 920 ounces?
A.4, 240 pounds
B.5,920 pounds
C.4, 120 pounds
D.02, 120 pounds
Answer:
c. 4,120 pounds
Step-by-step explanation:
2 tons = 4000 pounds
1920 ounces = 120 pounds
The amount in pounds of 2 tons 1, 920 ounces by unit conversion will be 4,120 pounds thus, option (C) is correct.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
It is known that,
1 tone = 2000 pounds
2 tons = 4000 pounds
It is also known that,
1 ounce = 0.0625 pounds
1, 920 ounces = 120 pounds.
Total = 4000 + 120 = 4, 120 pounds
Hence "The amount in pounds of 2 tons 1, 920 ounces by unit conversion will be 4,120 pounds".
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)A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 50%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green? I need help
Answer:
40%
Step-by-step explanation:
The probability of the arrow landing on the green section is a 40% chance
This is because there are only 3 sections where one is 50 and the other is 10
To find the green we can create an equation, where x = green section
50 + 10 + x = 100
The equation equals 100 because that's the highest the percentage will go in probability, unless we were told otherwise
60 + x = 100
x = 100 - 60
x = 40
Two airplanes leave the airport. Plane A departs at a 41° angle from the runway, and plane B departs at a 43° from the runway. Which plane was farther away from the airport when it was 5 miles from the ground? Round the solutions to the nearest hundredth.
Plane A / 7.62 mi away
Plane A / 6.63 mi away
Plane B / 6.84 mi away
Plane B / 7.33 mi away
Answer:
Plane A / 7.62 mi away
Step-by-step explanation:
We have to calculate the distance of each plane from the airport.
In other to do this, we would use the trigonometric function of Sine
sin θ = Opposite/Hypotenuse
For Plane A
Plane A departs at a 41° angle from the runway
sin θ = Opposite/Hypotenuse
θ = 41°
Distance from the ground = Opposite = 5 miles
Hypotenuse = ???
sin 41° = 5 miles/Hypotenuse
sin 41° × Hypotenuse = 5 miles
Hypotenuse = 5 miles/sin 41°
Hypotenuse = 7.6212654335 miles
Approximately to the nearest hundredth ≈ 7.62 miles
For Plane B
Plane B departs at a 43° from the runway
sin θ = Opposite/Hypotenuse
θ = 43°
Distance from the ground = Opposite = 5 miles
Hypotenuse = ???
sin 43° = 5 miles/Hypotenuse
sin 43° × Hypotenuse = 5 miles
Hypotenuse = 5 miles/sin 43°
Hypotenuse = 7.3313959282 miles
Approximately to the nearest hundredth ≈ 7.33 miles
From the above calculation, we can see that Plane A what 7.62 miles away from the airport while Plane b was 7.33 miles away from the airport.
Therefore Plane A was farther away from the airport (7.62 miles away) when it was 5 miles from the ground.
Answer:
Plane A / 7.62 mi away
Step-by-step explanation:
I got it right on the test
#6) Beth saved a total of $30 per month for her first car. Beth saved
money for 20 months and opened her account with $100. What is the
domain and range of the situation representing the amount of money
Beth saved in respect to time she saved? Write your answer in
interval notation.
D:
R:
Answer:
1) The domain In interval notation is [0, 20]
2) The range in interval notation is [100, 700]
Step-by-step explanation:
The given parameters are;
The amount Beth saved per month = $30
The number of months Beth saved = 20 months
The amount with which Beth opened her account = $100
Therefore, the amount of money Beth saved with respect to time is given as follows;
Y = $100 + $30 × X
Where;
Y = The amount of money Beth saved
X = The time (number of months) Beth saved
The domain is given as follows;
[tex]\{X | \ 0 \leq X \leq 20 \}[/tex]
The domain in interval notation is [0, 20]
For the range, when X = 0, Y = $100
When X = 20, Y = $100 + $30 × 20 = $700
Therefore, the range is given as follows;
[tex]\{Y | \ 100 \leq Y \leq 700 \}[/tex]
Which the range in interval notation is [100, 700].
a recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt. The recipe can be scaled up to make multiple loaves of bread. Complete the table that shows the quantities to use for multiple loaves of bread.
Answer:
Kindly check explanation
Step-by-step explanation:
Let number of loaves = nl
Cups of flour = cp
Tablespoonful of water = sw
Teaspoonful of salt = ss
1 loaf of bread calls for :
2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt
1 loaf :
cp = 2 × nl
sw = 12 × nl
ss = 1 × nl = nl
nl - - - - - - cp - - - - - - sw - - - - - - ss
1 - - - - - - - 2 - - - - - - - 12 - - - - - - 1
2 - - - - - - - 4 - - - - - - - 24 - - - - - 2
4 - - - - - - - 8 - - - - - - - 48 - - - - - 4
3 - - - - - - - 6 - - - - - - - 36 - - - - - 3
Number of loaves = cups of flour / 2
(58-x)-(x)=12 in one variable
Answer:
x = 23
Step-by-step explanation:
Step 1: Write out equation
(58 - x) - (x) = 12
Step 2: Distribute negative
58 - x - x = 12
Step 3: Combine like terms
58 - 2x = 12
Step 4: Subtract 58 on both sides
-2x = -46
Step 5: Isolate x (divide both sides by -2)
x = 23
PLEASE HURRY Pump it Up gym's daily revenue each can be modeled by R(x) = 5x where x represents the number of customers that visit the gym each day. The gym's daily costs can be modeled by the function C(x) = 2x + 150. Find the profit function P(x) if: P(x) = R(x) - C(x)
Answer:
P(x) = 3x - 150
Step-by-step explanation:
● P(x) = R(x) - C(x)
We khow that:
● R(x) = 5x
● C(x) = 2x + 150
● P(x) = 5x -(2x+150)
● P(x) = 5x - 2x -150
● P(x) = 3x - 150
The profit function of P(x) is 3x - 150.
It is required to find profit function of P(x).
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given :
Daily revenue
R(x) = 5x where x represents the number of customers that visit the gym each day.
C(x) = 2x + 150
P(x) = R(x) - C(x)...(i)
Put the value of R(x) and C(x) in equation ..(i)
P(x) = 5x -(2x+150)
P(x) = 5x - 2x -150
P(x) = 3x - 150
Therefore, the profit function of P(x) is 3x - 150.
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A thread is wound 200 times round a reel of diameter 5cm. Use the value 3 for pie to find the approximate length of the thread in metres.
Answer:
L = 30 m
Step-by-step explanation:
lets make it simple and accurate
given
reel dia = 5 cm = 0.05 m
200 times round the reel
π = 3
reel O circumference = π d
Length of thread = Number of times round the reel x circumference
therefore,
L = 200 x (3 * 0.05)
L = 30 m
The approximate length of the thread wound around the reel is 30 meters.
Here, we have,
To find the approximate length of the thread wound around the reel, we can use the formula for the circumference of a circle.
Circumference = π * diameter
Given that
the diameter of the reel is 5 cm and we are using the value 3 for π, we can calculate the circumference:
Circumference = 3 * 5 cm
Circumference = 15 cm
Now, since the thread is wound 200 times around the reel, we need to calculate the total length of the thread:
Total length of thread = Circumference * Number of times wound
Total length of thread = 15 cm * 200
Total length of thread = 3000 cm
To convert the length from centimeters to meters, we divide by 100:
Total length of thread in meters = 3000 cm / 100
Total length of thread in meters = 30 meters
Therefore, the approximate length of the thread wound around the reel is 30 meters.
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Factor expressions x^2+4x+4
Answer:
Your answer is:
(x+2)^2
Factor x2+4x+4
x2+4x+4
The middle number is 4 and the last number is 4.
Add together to get 4
Multiply together to get 4
2+2 = 4
2*2 = 4
(x+2)(x+2) or (x+2)^2
solve for k k/6 = 4/3
Answer:
k = 8
Step-by-step explanation:
Given
[tex]\frac{k}{6}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )
3k = 24 ( divide both sides by 3 )
k = 8
I am really confused
Answer:
GHC 33.50
Step-by-step explanation:
Pens: 6.50*.15=.975
.975*20=19.50
Pencils: 4.00*.10=.40
.40*35=14
Total=19.50+14=
33.50
Tony buys a CD that is priced at $13.59. He has a coupon for $1.85 off. He pays with a $20 bill. Which is the best whole number estimate of how much change he gets? $8 $8.26 $9 $9.26
Answer:
$8
Step-by-step explanation:
13.59-1.85=11.74
20-11.74=8.26
8.26 rounded Is 8
Answer:
A
Step-by-step explanation:
what is the product of 45.and 15
Answer:
675 In other words, we find the product of 45 and 15 by simply calculating 45 times 15 which equals 675.
Answer:
The product of 45 and 15 is 675.
Step-by-step explanation:
You can do it mentally this way:
45 * 15 = 45(10 + 5) = 450 + 225 = 675.
What is the value of the expression below?
72 ÷ 4.5x3+8
Answer:
56
Step-by-step explanation:
Apply PEMDAS:
[tex]72 / 4.5*3+8\\\\16*3+8\\\\48+8\\\\\boxed{56}[/tex]
a child's toy train collection contains 5 engines, 5 red cars, 7 blue cars, and 2 cabooses. What is the probability of randomly selecting pieces to make a three-part train of engine, red car, caboose?
Answer:
25/2907Step-by-step explanation:
Probability = Expected outcome/Total outcome of events
If a child's toy train collection contains 5 engines, 5 red cars, 7 blue cars, and 2 cabooses, the total collection will be 5+5+7+2 = 19 total collection
Note that if we are choosing this parts to make part engine, his car parts will no longer be replaced. Hence this is a problem of probability without replacement
If we randomly select pieces to make a three-part train of engine, red car and caboose, this can be chosen in that order and the following ways;
Probability of choosing an engine = 5/19
Probability of choosing a red car = 5/18 (note that the total collection has reduced by 1 since we didn't replace the engine)
Probability of choosing a carboose= 2/17 (the car chosen was not replaced as well)
Therefore the probability of randomly selecting pieces to make a three-part train of engine, red car, caboose is the product of the three probability calculated above i.e 5/19 * 5/18 * 2/17 = 50/5814
= 25/2907
Worksheet 1.3
Part 1: Write a math expression for each problem (model the problem).
1)
Lumpy drove for h hours at 50 mph. How far did he drive?
Answer:
d = 50h
Step-by-step explanation:
distance = speed × time
Lumpy's distance (d) in miles, after driving h hours at 50 miles per hour, is given by ...
d = 50h
What is f(6) for the function f(x)=3x-8
Answer:
10
Step-by-step explanation:
Plug in "6" for each x value.
3(6) - 8
18 - 8
10
please help! thank you <33
Answer:
14
hope this helps!
hello, please help thank youu!!
Answer:
36 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
(5[tex]\frac{1}{2}[/tex] x 3) + (10 ÷ [tex]\frac{1}{2}[/tex])
(16[tex]\frac{1}{2}[/tex]) + (10 ÷ [tex]\frac{1}{2}[/tex])
(16[tex]\frac{1}{2}[/tex]) + (20)
36 [tex]\frac{1}{2}[/tex]
16\3 × 3\1=48\3
10\1÷ 1\2
10\1 × 2\1=20\1
20\1 + 20\1=960\3
Use a graphing calculator, or another piece of technology, to find the zeros of the function f(x) = -2x3 + 5x2 +1.
What are the approximate zeros to the nearest tenth?
There may be more than one correct answer. Select all correct answers.
Answer:
x
≈
2.57538512
Step-by-step explanation:
Granola 6 cups rolled oats 2 cups mixed nuts 1 2 cup sesame seeds 1 cup dried cranberriesWhat is the ratio of cups of mixed nuts to the total number of cups of granola? The ratio of cups of mixed nuts to cups of granola is to . 1 cup dried unsweetened coconut 1 2 cup honey
Answer:
2:11
Step-by-step explanation:
6 cups rolled oats, 2 cups mixed nuts, 1 /2 cup sesame seeds, 1 cup dried cranberries, 1 cup dried unsweetened coconut, 1 /2 cup honey. What is the ratio of cups of mixed nuts to the total number of cups of granola? The ratio of cups of mixed nuts to cups of granola is to .
Solution
Rolled oats= 6 cups
Mixed nuts=2 cups
Sesame seeds=1/2 cup
Cranberries= 1 cup
Dried unsweetened coconuts=1
Honey =1/2 cup
The ingredients listed above are used to make granola
Total cups of granola= Rolled oats + Mixed nuts + Sesame seeds + Cranberries + Dried unsweetened coconuts + Honey
=6 + 2 + 1/2 + 1 + 1 + 1/2
=11 cups
The ratio of cups of mixed nuts to cups of granola= mixed nuts : granola
=2:11
Answer:
2 to 11
Step-by-step explanation:
If two different data sets have the same mean, the one with a wide range gives a better representation of its cua
True
False
Answer:
True
Step-by-step explanation:
If two locations are 1 km apart in actuality but only 1 cm apart on a map, what is the map's scale? A. 1:1,000 B. 1:10,000 C. 1:100,000 D. 1:1,000,000
Answer:
C
Step-by-step explanation:
1 km = 100,000 cm
Answer:
1:100,000
Step-by-step explanation:
One km is 1000 times a meter and 100,000 times a cm.
B is the midpoint of AC.
1. AB = 3x + 6 BC = 2x + 14 Find AC.
2. AB = 5x – 8 BC = 16 - 3x Find AC.
3. AC = 3x - 1 BC = 12-X Find AB.
4. AB = 2x + 11 BC = 4x - 5 Find AC.
5. AC = 6x-4 BC = 4x - 3 Find AB.
The value of,
1. AB = 3x + 6 BC = 2x + 14 then, AC = 5x + 20
2. AB = 5x – 8 BC = 16 - 3x then, AC = 2x + 8
3. AC = 3x - 1 BC = 12-X then, AB = 4x - 13
4. AB = 2x + 11 BC = 4x - 5 then AC = 6x + 6
5. AC = 6x-4 BC = 4x - 3 then AB = 2x - 1
What is Midpoint?
Midpoint is the point in the middle of the two endpoints of a line segment.
Now, B is midpoint of AC.
Then, AC = AB + BC
1. AB = 3x + 6, BC = 2x + 14
Then, AC = 3x + 6 + 2x + 14
AC = 6x + 20
2. AB = 5x – 8, BC = 16 - 3x
Then, AC = 5x - 8 + 16 - 3x
AC = 2x + 8
3. AC = 3x - 1, BC = 12-x
Then, AB =( 3x -1 ) - ( 12 - x )
AB = 2x - 13
4. AB = 2x + 11, BC = 4x - 5
Then, AC = 2x + 11 + 4x - 5
AC = 6x + 6
5. AC = 6x-4, BC = 4x - 3
Then, AB = (6x - 4) - ( 4x - 3 )
AB = 2x - 1
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