The chance that a student is selected at random from the class who passed the exam and finished the assignment is 0.2105
Describe probability.Probability refers to potential. The occurrence of a random event is the subject. Probability values are limited to the range of 0 to 1. Its fundamental notion is that something is probable to occur. It is the proportion of favorable events to all other events.
A exam and an assignment were due on the same day in a math class with 19 pupils.
There were 14 students that finished the assignment, and 11 of them completed the test.
3 pupils both failed the exam and didn't finish the assignment.
Then the probability that a student is chosen randomly from the class passed the test and completed the homework will be
The number of the student who has done at least one assignment or passed the test is 19 - 3 = 16
n(A) = passes student
n(B) = given assignment
Then we have
n(A ∩B) = n(A) + n(B) - n (A ∪B )
n(A ∩B) = 11 + 14 - 16
n(A ∩B) = 9
Then the probability will be
P = 9C2 /19C2
P = 36/171
P = 0.2105
The probability that a student chosen randomly from the class completed the homework is 0.2105
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2x - 5y = 14
y = 3x+5
Answer:
x = -3
y = -4
Step-by-step explanation:
2x - 5y = 14 ⇒ ( 1 )
y = 3x + 5 ⇒ ( 2 )
First, let us find the value of x.
For that let us use equation ( 1 ) and replace y with (3x + 5 ).
2x - 5y = 14
2x - 5 ( 3x + 5 ) = 14
Solve the brackets.
2x - 15x - 25 = 14
Combine like terms.
-13x - 25 = 14
Add 25 to both sides.
-13x = 14 + 25
- 13x = 39
Divide both sides by -13.
x = -3
Let us find the value of y.
For that, use equation (2) and replace x with (-3).
y = 3x + 5
y = 3 × -3 + 5
y = - 9 + 5
y = -4
Is the line through points P(8, 4) and Q(6, –1) parallel to the line through points R(1, –4) and S(4, 5)? Explain.
Answer:
No, the lines are not parallel
Step-by-step explanation:
They are not parallel because the slopes of the lines are not equal.
Choose the system for the graph.
Answer:
Step-by-step explanation:
(3x+4y<12
50 POINTS IF ANSWERED PLS!!!!!
triangle ABC is an isosceles triangle. find the missing angles and side measures.
Angle A = 40 degrees
Angle C = 70 degrees
Side AC = 12 cm
A concrete drain is 10m long, with an outside diameter of 1m and an inside diameter of 0.8m. Determine the volume of the concrete required to make the drain, to the nearest tenth of a cubic metre
Answer: To calculate the volume of the concrete required to make the drain, we need to find the volume of the cylinder formed by the outside diameter of the drain and subtract the volume of the cylinder formed by the inside diameter of the drain.
The formula for the volume of a cylinder is:
V = πr^2h
where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.
The radius of the base of the outside cylinder is 0.5m (the diameter of 1m divided by 2) and the height is 10m. The radius of the base of the inside cylinder is 0.4m (the diameter of 0.8m divided by 2) and the height is also 10m.
So the volume of the outside cylinder is:
V = π * 0.5^2 * 10 = 15.7 m^3
and the volume of the inside cylinder is:
V = π * 0.4^2 * 10 = 12.6 m^3
To find the volume of the concrete required to make the drain, we subtract the volume of the inside cylinder from the volume of the outside cylinder:
15.7 m^3 - 12.6 m^3 = 3.1 m^3
So the volume of concrete required to make the drain is approximately 3.1 cubic metres. To the nearest tenth of a cubic metre, this is 3.1 m^3.
in a wildlife park, there were 20 gray wolves. after a few years, there were 38 gray wolves what is the percent gain
The percent gain in the number of wolves is 90%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
From the information, in a wildlife park, there were 20 gray wolves. after a few years, there were 38 gray wolves.
The percent gain will be:
= Increase in wolves / Previous number × 100
= (38 - 20) / 20 × 100
= 18/20 × 100
= 90%
Therefore, it should be noted that based on the information illustrated above, the percentage gain will be 90%.
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1/10 of the m&m in the bag are red and 1/5 are blue. What fraction of alll the m&m are red and blue
Step-by-step explanation:
we need to bring them to the same denominator. in this case : 10
so, 1/10 of everything are red.
1/5 = 2/2 × 1/5 = 2/10 of everything are blue.
so, we now just add these two :
1/10 + 2/10 = 3/10
so, 3/10 are red and blue (rather red or blue, because none are red and blue)..
The number 651 is what percent of 700?
Answer:
93%
Step-by-step explanation:
651/700
Answer: 93%
Step-by-step explanation:= (
(651 × 100/700) × 1/100 = 93/100
Which is a survey?
a study that collects data on every subject in a sample
the data collected from a population
the questions used for a sample
the questions used for a population
can you solve please
Tyler has two cube-shaped storage spaces in his apartment building, one large and one
small. The small storage space has a volume of 12 ft". Tyler wants to know the total
volume of both storage spaces.
What is the total volume of both storage spaces if one side of the large storage spaces is 4 feet long?
Answer:
76 ft^3
Step-by-step explanation:
A volume of small box = 12 ft^
A volume of large box = 4×4×4= 64 ft^
the sum of volume = 12+64=76 ft^3
Find the midpoint of the segment with the following endpoints
(5,5) and (1,1)
The midpoint of the segment given (5,5) and (1,1) is (3, 3).
What is midpoint?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
Coordinates of the midpoint of the line joining the points (x₁,y₁) and (x₂,y₂)= [(x₁ + x₂)/2 , (y₁ + y₂)/2].
The midpoint of the line segment with endpoints (5,5) and (1,1)
= [ ( 5 + (1))/2 , ((5) + 1)/2 ]
= [ (6)/2 , 6/2 ]
= [ 3, 3
Therefore, the midpoint of the line segment with endpoints is (3, 3).
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A regular polygon has its exterior angles all equal to 5⁰ Find the number of sides of the polygon.
calculate the size of the exterior and interior angles of all the different polygon.
Which system of equations can be represented by this matrix?
Answer:
answer is c
Step-by-step explanation:
I learned matrix
Brainliest + ten points to first correct answer! word problem
The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year
Answer:
The second company should get the contract.
Question
The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway.
Reason
Based on the least expensive price per mile per year, the second company should get the contract. This is because the price per mile per year for the second company is lower than the price per mile per year for the first company.
The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires.
The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.
The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years.
The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years.
Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year
Can you name the angle pairs and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answer:
AGDB
Step-by-step explanation:
Pair 1: Alternate interior
Pair 2: Alternate exterior
Pair 3: Same-side interior
Pair 4: Same-side exterior
Here are summary statistics for the weights of Pepsi in randomly selected cans: n = 36, x-bar = 0.82407, s = 0.00567. Use a confidence level of 95% to complete parts (a) through (d) below.
A) Identify the critical value t a/2 used for finding the margin of error.
T a/2 =
B) Find the margin of error
The margin of error, a statistic, is a measure of how much random sampling error there is in survey data.
The margin of error exists 0.07728.
What is meant by margin of error?A statistic known as the margin of error describes how much random sampling error there is in survey data. Less faith should be placed in a poll's results representing the outcome of a population census as the margin of error increases.
A survey's margin of error, also known as the confidence interval, is a measurement of error in the data, particularly when the sampling method of a survey is used. This indicator lets researchers know to what extent survey findings should be taken as representative of the entire community under study.
Given : n = 36
x-bar = 0.82407
s = 0.00567
Confidence level 95%
The 2 - critical Valve = 2.03
A) Let the equation be
[tex]$S F=\sqrt{\frac{\bar{x}(1-\bar{n})}{n}}[/tex]
substitute the values in the above equation, we get
[tex]$\Rightarrow \sqrt{\frac{(0.82412)(1-0.82412)}{100}}$$[/tex]
S E = 0.03807
B) Margin of error = (0.03807)(2 × [tex]I_2[/tex])
Margin of error = 0.07728
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Show how u got all the answers
Solve for y
1. -2y + 7 = -5
Solve for x
2. -3(x + 5 = -9
3. X+(/2.5= -7.79
Solve for n
4. 3.33 + 2n = -7
Answer: 1. y = 6
2. x = -2
3. X = -10.29
4. n = -5.165
Step-by-step explanation:
1. -2y + 7 = -5
-2y + 7 - 7 = -5 - 7
-2y = -12
y = 6
2.-3(x + 5) = -9
3(x+5) = 9
x+5 = 3
x = 3 - 5
x = -2
3. X+2.5= -7.79
X= -7.79 - 2.50
X = -10.29
4. 3.33 + 2n = -7
3.33 - 3.33 + 2n = -7 - 3.33
2n = -10.33
n = -5.165
find an equation of the tangent line to the graph of y = e−x2 at the point 2, 1 e4 .
Find the nth term of this quadratic sequence
2, 8, 18, 32, 50, ...
The nth term of the given quadratic sequence is 2n².
What is quadratic sequence?
The ordered sets of numbers known as quadratic sequences are based on the rule n^2 = 1, 4, 9, 16, 25,.... (the square numbers). Every quadratic sequence has a n^2 term.
Consider, the given quadratic sequence
2, 8, 18, 32, 50, ...
we have to find nth term of this quadratic sequence ; 2 , 8 , 18 , 32, 50, ...
To find the nth term, we have to find the relation between the given terms.
here we see,
1st term = 2 = 2 × 1 × 1 = 2 × 1²
2nd term = 8 = 2 × 2 × 2 = 2 × 2²
3rd term = 18 = 2 × 3 × 3 = 2 × 3²
4th term = 32 = 2 × 4 × 4 = 2 × 4²
similarly 5th term = 2 × 5² = 2 × 25 = 100
...........
so nth term = 2 × n² = 2n²
Hence, the nth term of the given quadratic sequence is 2n².
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2X-Y=4
x=4-y
please explain each step
Step-by-step explanation:
2X-Y=4 ---------(1)
x=4-y---------(2)
since x = 4 – y just substitute for eqn 1
2(4–y) – y = 4
8 – 2y –y=4
8 –3y = 4
–3y=4–8
–3y=–4
y=–4/–3
y= 4/3
since y = 4/3 just substitute for y in eqn (2)
x=4–4/3
multiply both sides by 3
3x=12–4
3x=8
x=8/3 or 2 2/3
-3x²+x+ 5 = 0
A.-3+ 24
6
B.-5+√8
2
C.-1+√61
-6
D. 3+√12
10
K
Answer:
c is your answer
Step-by-step explanation:
x = 1 +_ √61/6
The table below shows the linear relationship between
the distance in feet below sea level and the time in
seconds traveled by a submarine.
What is the rate of change low of the distance in the feet below sea level with respect to time that the box submarine traveled?
The rate of change of the distance with respect to time that the box submarine traveled is 11 feet per second
How to determine the rate of change of the distance with respect to time the box submarine traveled?A rate of change describes how one quantity changes in relation to another quantity.
Mathematically, it is defined as the change in one quantity divided by the change in the other quantity.
In this case, we have:
rate of change = change in distance / change in time
Use the data in the table:
rate of change = 545-380/15-0
rate of change = 165/15 = 11
Note: You can pick any 2 data points for the calculation
Therefore, 11 feeet per second is the rate of change of the distance in feet below sea level with respect to time that the box submarine traveled
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-1 1/6 divided by 1/4=
Pls help me
Answer:
-14/3 or -4.67
Step-by-step explanation:
division.
At a distance of 6 meters, a person with average vision is able to clearly read letters 1.0 cm high.Approximately how large do the letters appear on the retina? (Assume that the retina is 1.7 cm from the lens.)
The size of the letters appear on the retina is 0.00289 cm
Given data:
To determine the size of the letters on the retina, use the concept of angular size and the relationship between object size, distance, and angular size.
Angular size is the measure of the angle subtended by an object as seen from a particular point, in this case, the eye.
Angular size = Object size / Distance
Object size = 1.0 cm
Distance = 6 meters
Angular size = 1.0 cm / 6 meters
To convert the distance to centimeters, multiply by 100:
Angular size = 1.0 cm / (6 meters * 100 cm/meter)
Angular size = 1.0 cm / 600 cm
Angular size = 0.0017 radians
The angular size of the letters is 0.0017 radians.
Now, to determine the size of the letters on the retina, calculate the linear size on the retina using the angular size and the distance from the lens to the retina.
Linear size on retina = Angular size * Distance from lens to retina
Angular size = 0.0017 radians
Distance from lens to retina = 1.7 cm
Linear size on retina = 0.0017 radians * 1.7 cm
Linear size on retina ≈ 0.00289 cm
Hence, the letters appear to be approximately 0.00289 cm in size on the retina.
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There are 25 girls and 16 boys on the swim team. What percentage of the team is made up of boys?
Answer:
16/41 or 39%
Step-by-step explanation:
add both boys and girls and divide boys by that number
You manage a staff of 9 employees. Each employee has equally done an excellent job this year. If upper management has allotted a bonus for your department of $30,000, what dollar bonus amount would each employee get if divided equally (round to nearest dollar)?.
The amount that each employee will get out of the bonus to your department will be $3,000.
What will each employee get?
You manage a staff of 9 employees in your department which means that there are 10 people in total.
The amount that each person will get from the bonus will therefore be:
= 30,000 / 10 employees
= $3,000
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PLSSS HELP ASAP 30PTS
Consider parallelogram ABCD with vertices A(-6, 6), B(0, 10), C(2,4), and D(-4, 0). Classify the parallelogram and select ALL that apply.
MORE THAN ONE POSSIBLE ANSWER
The figure is neither a rhombus nor a rectangle since the sides are of varied lengths and are not at right angles. "None of the other" applies.
Given that,
Consider parallelogram ABCD with vertices A(-6,6), B(0,10), C(2,4) and D(-4,0).
We have to find the parallelogram is square, rectangle, rhombus and none of the above.
We know that,
In the attached figure, which shows the number of grid squares for each side, we can see that one side is the diagonal of a 23 rectangle and the other side is the diagonal of a 13 rectangle. This reveals two things to you: The sides are not at perfect angles to one another and are of varied lengths. The slopes of the segments would be opposing reciprocals (if the sides were perpendicular).
Therefore, The figure is neither a rhombus nor a rectangle since the sides are of varied lengths and are not at right angles. "None of the other" applies.
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how do i find the answer
The value of the angles of the given quadrilateral are;
8) ∠X = 124° = ∠W
∠Y = 56° = ∠Z
9) ∠J = 44° = ∠K
∠L = 136° = ∠M
How to find the angles of a quadrilateral?The sum of angles of a quadrilateral is equal to 180 degrees. Now, in the quadrilateral given, the two angles on the slant side always equal 180 degrees. Thus;
8) From the given trapezium, we can use the definition above to say that;
∠X + ∠Y = 180°
Thus;
(13x - 7)° + (8x - 2)° = 180°
21x - 9 = 180
21x = 189
x = 189/21
x = 9
Thus;
∠X = (13(9) - 7)°
∠X = 124° = ∠W
∠Y = 180° - 124°
∠Y = 56° = ∠Z
9) From the above, we can apply the same to this quadrilateral to get;
7x + 2 + 25x - 14 = 180
32x - 12 = 180
32x = 180 + 12
32x = 192
x = 192/32
x = 6
∠J = (7(6) + 2)
∠J = 44° = ∠K
∠L = 180 - 44
∠L = 136° = ∠M
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Complete the equation describing how
x and y are related.
Answer: y = 1x+4
the related between the x and y is x plus one and y plus 4
Step-by-step explanation: