A teacher administers three different versions of a test to his students The two-way table shows the results.
Find the probability of the event below using the formula for conditional probability. Round your answer to the nearest tenth.
P(pass | Test A)
The probability is ____%
SHOW ALL WORK
Answers
The P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Part A:
Total number of students = 154
Total number of students passed the test = 49
The probability:
P(pass | Test A) = 49/154 = 31.81%
Part B:
Total number of students = 154
Total number of students passed the test = 46
The probability:
P(pass | Test B) = 46/154 = 29.87%
Thus, the P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%.
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Answer:
87.5%
Step-by-step explanation:
add the number of students who took test A (49+7=56)
take the number of students who passed test A and divide it by the number of students who took the test A
49÷56=.875= 87.5%
Related Questions
Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
62°
Step-by-step explanation:
We use the fact that the ratio of the sides of the triangle to the angles opposite them is given by the Law of Sines:
"In any triangle, the ratio of a side length to the sine of its opposite angle
is the same for all three sides"
[tex]\frac{a}{sinA} = \frac{b}{sinb} =\frac{c}{sinC}[/tex]
where A is the is the angle opposite side a, B the angle opposite to side b, C is the angle opposite to side c
For the given triangle we get
44/sin90 = 39/sin?
sin90 is 1 so we get 44/1 = 39/sin?
or cross-multiplying,
sin? = 39/44 = 0.886363..
? = sin⁻¹ (0.886363) = 62.42° ≈ 62° answer
Answer:
? ≈ 62°
Step-by-step explanation:
using the sine ratio in the right triangle
sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{39}{44}[/tex] , then
? = [tex]sin^{-1}[/tex] ( [tex]\frac{39}{44}[/tex] ) ≈ 62° ( to the nearest degree )
What is the median of the data set represented by the plot?
Answers
Answer:
5
Step-by-step explanation:
It's in the middle of all the numbers
If you do need a more in-depth explanation just comment under here and I'd be happy to show you how I did it :)
can someone do this for me please?! Just the answer pls
Answers
Step-by-step explanation:
1: MD = 17.621
VD = 27.41
2:
60 degrees
3: sinC
What are the values of the function when x=-2 and when x=4
Answers
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.
Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.
x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.
x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.
What is the surface area of the rectangular prism below?
Answers
Answer:
the answer is A. 612
Step-by-step explanation:
SA=2(wl+hl+hw)
parenthesis() mean multiply
x means multiply
SA= 2 x width x length + height x length + height x width
The triangle below is equilateral. Find the length of side X in simplest radical form with a rational denominator.
Answers
Answer:
kinda hard
Step-by-step explanation:
h² = c² + c²
([tex]\sqrt{11}[/tex])² = ([tex]\sqrt{11}[/tex]/2)² + x²
x² = ([tex]\sqrt{11}[/tex])² - ([tex]\sqrt{11}[/tex]/2)²
answer: x = [tex]\sqrt{11}[/tex] - [tex]\sqrt{11}[/tex]/2
Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s gross profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5%
Answers
Answer:
actually its A... i know cause i got it WRONG
Step-by-step explanation:
The gross profit margin for Korey’s Comics given the net sales, gross profit and net income is 76.3%.
What is the gross profit margin?Gross profit margin is a profitability ratio. It is used to measure the financial health of a company and used to determine the efficiency with which the firm generates profits.
Gross profit margin = gross profit / net sales
3320 /3320 = 76.3%
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ladder reaches a window 18 ft high,
and makes a 64 angle with the
ground. How long is the ladder?
Round your ancun
Answers
Using trigonometric ratio, the length of the ladder that reached the window is 20.03 feet
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let l represent the length of the ladder, using trigonometric ratio:
sin(64) = 18/l
l = 20.03 feet
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Given: RT || SP, RQ ≅ QP, RP bisects ST at Q
Prove: ΔRQT ≅ ΔPQS
Triangles R Q T and P Q S are connected at point Q. Lines R T and S P are parallel. The lengths of lines R Q and Q P are congruent.
Tamir is working to prove the triangles congruent using SAS. After stating the given information, he states that TQ ≅ QS by the definition of segment bisector. Now he wants to state that ∠RQT ≅ ∠PQS. Which reason should he use?
alternate interior angles theorem
corresponding angles theorem
linear pair postulate
vertical angles theorem
Answers
Answer: vertical angles theorem
Step-by-step explanation:
What weight would give a newborn a z-score of −0.75? grams
Answers
Using the normal distribution, it is found that a weight of 3125 grams would given a newborn a z-score of −0.75.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, it is found that the mean and the standard deviation for the weight of newborns is given as follows:
[tex]\mu = 3500, \sigma = 500[/tex]
Hence, the weight associated with Z = -0.75 is given by X:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.75 = \frac{X - 3500}{500}[/tex]
X - 3500 = -0.75(500)
X = 3125.
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A rectangular prism with a length of 4 meters, width of 0.5 meters, and height of 4 meters. 2 triangular prisms are cut out of the cube. The triangular prisms have triangular sides with a base of 2 meters and height of 1 meters. The prism has a height of 0.5 meters.
Using the dimensions in the diagram, calculate how much cement is needed to build the monument.
4 m3
7 m3
8 m3
16 m3
i need the answer as fast as possible like i need it today and if right many marked branliest
Answers
Answer:
7 m3
Step-by-step explanation:
Correct
The cement that is needed to build the monument will be 7 m³. Thus, the correct option is B.
What is the volume?The volume of the rectangular prism is calculated as,
V = LWH
V = 4 m x 0.5 m x 4 m
V = 8 m³
The volume of the triangular prism is calculated as,
V = (BHL) / 2
V = (2 m x 1 m x 0.5 m) / 2
V = 0.5 m³
Since there are two triangular prisms, the total volume of both triangular prisms is:
⇒ 2 x 0.5 m³
= 1 m³
The total amount of cement is calculated as,
⇒ (Volume of rectangular prism - Total volume of both triangular prisms)
⇒ (8m³ - 1m³)
⇒ 7 m³
Thus, the correct option is B.
More about the volume link is given below.
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what is the measure of angle 7 ?
Answers
Answer:
97°
Step-by-step explanation:
Please see attached
Scott sells beaded necklaces. Each large necklace sells for $6.20 and each small necklace sells for $4.70. How much will he earn from selling 1 large necklace and 3 small necklaces?
Answers
Answer:
$20.13
Step-by-step explanation:
$4.70x3=$14.10+$6.20 = $20.13
The square below represents one whole.
What percent is represented by the shaded area?
Answers
Answer:
0.85.Step-by-step explanation:
We know that:
this grid is 1 whole.We don't know:
how much is shaded in.Let's count up by tenths:
0.10.20.30.40.50.60.70.8It suddenly stops at 0.8.
Let's count up by hundredths:
0.810.820.830.840.85It stops at 0.85.
0.85 is your answer.
In Exercises 4 and 5. graph the polygon and its image after a reflection in the given line.
Answers
Answer is A
I really need help (i will give brainlist) Which function has a greater y-intercept ... f(x) or g(x)?
g(x)
f(x)
They are the same.
Answers
Answer:
they are exacly the same
Step-by-step explanation:
Kaye will compute for the area of a circle using the formula A=π×r2.If given is the diameter of a circle , what should be computed first?
Answers
Answer:
Find the radius.
Step-by-step explanation:
The task is to solve for area of a circle, and you are given the diameter.
The formula for area is :
Area of a circle = π × (radius)²
In this formula, there is only one input value, and that is the radius.
To find the radius, you must know the relation :
Radius x 2 = Diameter
Hence, the radius must be computed first and foremost.
Helpppppppppp meeeeeee pleaseeeeeeeee
Answers
Answer:
If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5
Answer:
49 and 51
Hope it helps
The two expressions below have the same value when rounded to the nearest hundredth. log subscript 5 baseline b. log subscript 9 baseline 48 what is the approximate value of log b to the nearest hundredth?
Answers
The approximate value of log b to the nearest hundredth is 1.23
Laws of logarithmGiven the following logarithmic expressions
loog(5)b and log(9)48
Determine the value of log(9) 48
log(9)48 = 1.762
Equate log(5) b to 1.762 to log(5)b to determine the value of b
log(5)b = 1.762
b = 5^1.762
b = 17.044
log b = log 17.044 = 1.232
Hence the approximate value of log b to the nearest hundredth is 1.23
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Answer:
B = 1.232
Step-by-step explanation:
Just did it
Suppose that F(x) = x² and G(x) = -1/3 (x+4)^2. Which statement best compares the graph of G(x) with the graph of F(x)?
Answers
Answer: C
Step-by-step explanation:
The graph is shifted 4 units left as seen with (x+4) so x = -4.
The graph is reflected over the x axis as seen with -a
The graph is compressed vertically because the functions a value is less than f(x) = [tex]x^2[/tex]
Answer:
D
Step-by-step explanation:
Changes observed :
Coefficient of x² becomes 1/3 of original, this means it is vertically compressedAlso, the coefficient has become negative, meaning it is flipped over the x-axisx² is now (x + 4)², this means it has shifted 4 units to the left.The correct option is D.
6a-2y>4
Solve inequality for y
Answers
y < -2 +3a
Isolate the variable by dividing each side by factors that don't contain the variable.
A second boat passes by your port, at a distance of 1,500 feet from shore. 10 seconds later, the boat is 2,000 feet away from you. how fast was the boat going?
Answers
So 2000-1500=500 (how far the boat went in the given time)
the time is 10 seconds
500/10=50ft/sec.
HELP ASAP
Given the graph below, solve for the equation of the circle. Show your work and explain the steps you used to solve.
Answers
Answer:
(x + 3)^2 + (y - 3)^2 = 5^2
Step-by-step explanation:
They're not really much to show work. Looking at the graph we need to find the origin which is (h ,k), and the radius.
(h , k) = (-3 , 3)
The radius is r = 5 because counting it from origin to the edge.
Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2
(x - (-3))^2 + (y - 3)^2 = 5^2
(x + 3)^2 + (y - 3)^2 = 5^2
A cone with a radius 3 feet is shown. Its approximate volume is 140 cubic feet.
Answers
Answer:
the answer to this question should be 14.85
Graph the equation
x - y= -4
Answers
Answer:
y=x+4
Step-by-step explanation:
y intercept should be at positive 4 and a straight line going in the positive direction
For the the axis of symmetrythe vertex and the yintercept y = x ^ 2 + 16x + 24
Answers
Answer: D (bottom option)
Axis of Symmetry: x = -8
Vertex: (-8, -40)
Y-Intercept: 24
Step-by-step explanation:
Start by putting the equation into vertex form, which you can do by completing the square. This means the equation will in the form [tex]y=a(x-h)^2+k[/tex].
Once you've done that, you'll get [tex]y=(x+8)^2-40[/tex]. This means that h = -8 and k = -40, so the vertex is (-8, -40) because vertex form is (h, k).
The axis of symmetry is x = -8, because the axis of symmetry is x = h.
The Axis of Symmetry is -8
A rectangle has a perimeter of 80 centimeter. its height is four times the length of its base. what is the lenght of its base?
Answers
Answer:
8 cm
Step-by-step explanation:
To find the length of the rectangle's base, form 2 equations using the given information.
Perimeter of rectangle= 2(height +base)
Let the lengths of the height and base of the rectangle be h and b cm respectively.
Perimeter= 80
2(h +b)= 80
h +b= 80 ÷2
h +b= 40 -----(1)
h= 4b -----(2)
Let's solve by substitution!
Substitute (2) into (1):
4b +b= 40
5b= 40
b= 40 ÷5
b= 8
Thus, the length of its base is 8 cm.
What is the average speed of a turtle that moved 50 inches in 5 minutes? (speed = distance ÷ time)
A.
55 inches per minute
B.
10 inches per minute
C.
0.1 inches per minute
D.
250 inches per minute
Answers
Answer: It would be B 10 inches per minute
Step-by-step explanation: Because if it is (Speed=distance/time) that would mean you would divide 50 into 5 which would be 10 50/5 5x10=50
A student made an 84% on
their Unit 1 Math Test.
What fraction is equivalent to
the score the student made on
the test?
Answers
Answer:
84/100
Step-by-step explanation:
We know that 100% is a whole, so we can use this as our denominator. If the student only got an 84, this will be our numerator. The numerator is a part of a whole, 84 is a part of 100. Therefore the answer would be 84/100.
Four students each contribute $12 to buy a pizza, salad, and large soda. How much would each student pay if two more students also contributed?
E. $6.50
F. $6
G. $7
H. $8
Answers
Answer:
8$
Step-by-step explanation:
4 students contribute 12$ Each.
So, total amount becomes 12 x 4 = 48$
If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$