The value of the probability represented by P(Take the bus | Sophomore) is 0.83
What are conditional probabilities?Conditional probabilities are probabilities that only occurred because an event has already occurred i.e. they are dependent on the initial event
How to determine the conditional probabilities?From the table of values in the question, we have the following parameters:
Number of students that (Take the bus and Sophomore) = 25Number of students that are (Sophomore) = 2 + 25 + 3The required probability represented by P(Take the bus | Sophomore ) = [?] is then calculated as:
P(Take the bus | Sophomore) = Number of students that (Take the bus and Sophomore) divided by Number of students that are (Sophomore)
Substitute the known values in the above equation
P(Take the bus | Sophomore) = 25/(2 + 25 + 3)
Evaluate the sum in the denominator
P(Take the bus | Sophomore) = 25/30
Evaluate the above quotient
P(Take the bus | Sophomore) = 0.83
Hence, the value of the probability represented by P(Take the bus | Sophomore) is 0.83
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state whether 0 is a rational number
Carter's last ten shot put distances, in meters,are shown in the list 20.24, 20.11, 19.95, 19.99, 20.02, 19.88, 19.97, 20.21, 20.07 move words to the blanks to describe the measure of variability for this data set
Answer:
mad symmetric without
Step-by-step explanation:
hi can someone pls help me, it’s confusing
Answer:
options C -x^2/3z
Step-by-step explanation:
this is the correct answer after we cancelled them
Answer:
C
Step-by-step explanation:
This requires you to know the law of quotient for exponents. For this I recommend separating everything with the same variable into its own fraction to make it easier so you have (-2x^4/6x^2), (y^2/y^2), (z/z^2). Then to simplify you divide the coefficients and signs like normal but for the exponents, you subtract the exponent of the numerator from the denominator. This gives
(-x^2 / 3), (1), and ( 1/z), which you can multiple together to get c.
Hope this helps. Ask if you need me to clarify something.
The polygons in each pair are similar. Solve for x.*
Answer:
X = 6
Step-by-step explanation:
Heights is 5x
Lengths is 6x
The solution for the x is 7 as per the concepts of similar polygons.
Given that the polygons in each pair are similar.
To find the value of x, we can set up a proportion between the corresponding side lengths of the two similar polygons.
We have the following proportion:
(6x - 7) / 42 = 25 / 30
To solve this proportion, we can cross-multiply:
30(6x - 7) = 42(25)
Simplifying further, we get,
180x - 210 = 1050
Next, we isolate the variable by adding 210 to both sides of the equation:
180x = 1260
Finally, we divide both sides by 180 to solve for x:
x = 1260 / 180
Simplifying:
x = 7
Therefore, the value of x is 7.
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pleas help me alot of points
Answer:
12
Step-by-step explanation:
its a square all sides of the square are the same so 48 divided by 4 is 12
5 points is not a lot of points
Malik, who is 5 feet tall, stands 15 feet from a mirror. In
the mirror, he can see the reflection of the top of a tree,
which he measures to be 92 feet away from the mirror. round your answer to the nearest hundredth
Somone help me with this
Answer:
112
Step-by-step explanation:
V= lwh /3
= 7·6·8 /3
=112
1. What is the absolute value of -45?
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
G'day m8!
In ΔTUV, the measure of ∠V=90°, TV = 28, UT = 53, and VU = 45. What ratio represents the cosecant of ∠U?
Answer:
53/28 is the answer on delta math
Step-by-step explanation:
An item cost $50. The sales tax paid was $2.30. What is the sales tax percentage?
Answer:
The answer is 4.6%
Step-by-step explanation:
$2.30 divided by $50 multiplied by 100.
2/3 y = 1/4 y ___?
A) 3/8
B) 5/12
C) 11/12
D) 2 2/3
Answer:
Heyaa!! Im Pinky!! And Im Here To Inform You That Your Answer Is...
Step-by-step explanation:
!!!! A. 3/8 !!!!
My calculations:
Given
2/3 y = 1/4
Multiply Each Sides by 3!
2y = 3 × 1/4= 3/4
Then we can Divide both sides by 2!
y= 3/4 ÷ 2 = 3/4 × 1/2 = 3/8!!
Have An Amazingly Good Day!!! (or night!)
~Pinky~
8. Let U= {x:x e P and x< 12} be the
universal set and A = {1, 3, 5, 6, 7},
B= {4, 6, 7,9}.
Find: i) A' ii) B' iii) An B'
Answer:
b is a answer I think so hmmm
Please help I will mark brainliest thanks
Answer:
5+4+6=51 yes
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Write the name of the property which says a + (b + c) = (a + b) + c
Answer:
This is the associative property of addition, which states that you can add or multiply regardless of how the numbers are grouped.
Evaluate f(-2): SHOW ALL WORK
f(x) = 3/2x -4?
Answer:
-7
Step-by-step explanation:
f(-2) = 3/2(-2) - 4
f(-2) = -3 - 4
f(-2) = -7
Answer:
f(-2) = -7
Step-by-step explanation:
f(-2) means that for every x given in the equation, -2 would be substituted in it's place. Therefore;
[tex]f(-2)=\frac{3}{2} (-2) - 4[/tex]
f(-2) = -3 - 4
f(-2) = -7
Hope this helps!
Simplify:
a+b
a-b
= [?]
a=5 and b=3
The value of the given expression will be 4.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression is as follows
[tex]=\dfrac{a+b}{a-b}[/tex]
a = 5 and b=3
[tex]=\dfrac{5+3}{5-3}=\dfrac{8}{2}=4[/tex]
Therefore the value of the given expression will be 4.
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How many triangles exist with the given angle measures?
60°, 60°, 60°
A. Exactly one unique triangle exists with the given angle measures.
B. No triangle exists with the given angle measures.
C. More than one unique triangle exists with the given angle measures.
Answer:
The sum of the angles in a triangle is 180°, so the angles do form a triangle. Since two of the three angles are congruent, the triangle is an isosceles triangle. An infinite number of isosceles triangles exist with different side lengths. Therefore, more than one triangle exists with the given angle measures.
Please solve these, I thank you my friends
Write and solve an equation to find the value of x
Answer:
180 - (52 + 28) = x and then x = 100.
Step-by-step explanation:
A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.
The equation we used to find that is: 180 - (52 + 28) = x.
52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.
Find BC if B (8,-7) and C (-4,-2)
The box plots show the weights in pounds of the dogs in two different animal shelters
Weights of Dogs in Shelter A
6
8
10
12
14
16
18
20
22
24
26
28
Weights of Dogs in Shelter B
One-half of the dogs in each shelter are between which weights?
between 8 and 30 pounds in shelter A between 10 and 28 pounds in shelter B
benveen 8 and 17 pounds in shelter A between 10 and 16 pounds in shelter B
between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B
between 28 and 30 pounds in shelter A between 20 and 28 pounds in shelter B
Answer:
between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B
Step-by-step explanation:
One half of the dogs in each shelter points at the the upper 50% of the dog weight. This point is marked by the median value up to the maximum weight value.
The median value is the point marked inside the box on a boxplot and the maximum value is the upper end or the endpoint of the whisker.
For SHELTER A:
Median = 21
Maximum = 30
Hence, For shelter A, it is the interval between 21 and 30
For shelter B:
Median = 18
Maximum = 28
Hence, it is the interval between 18 and 28
Answer:
it's c
Step-by-step explanation:
:)
In which direction does the left side of the graph of this function point?
f(x)= -x4- x2 + 4x - 2
Select the correct comparison.
Set A
Set B
0
2 A
68
2 4 6 8 10
O.
A. The typical value is greater in set A. The spread is greater in set B.
B. The typical value and the spread are both greater in set B.
C. The typical value is greater in set B. The spread is greater in set A.
ОО
D. The typical value and the spread are both greater in set A.
Answer:
C
Step-by-step explanation:
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
0.96
What is the equivalent fraction?
Answer:
96% percent and fraction is 24/25
Answer: Down below
Step-by-step explanation:
64 % = 16 / 25
21 / 50 = 0. 42
9 / 25 = 36 %
2 / 5 = 40 %
/ = divide okay
Hello! Would appreciate help!!
Find the value of x. Round to the
nearest tenth.
Answer:
17.14
Step-by-step explanation:
tan 35 = 12/x
x = 12/ tan 35
= 17.14
In a hatch chemical process, two catalysts arc being compared for their effect on the output of the process reaction. A sample of 12 batches was prepared using catalyst 1 and a sample of 10 batches was obtained using catalyst 2. The 12 batches for which catalyst 1 was used gave an average yield of 85 with a sample standard deviation of 4, and the second sample gave an average of 81 and a sample standard deviation of 5. Find a 90% confidence interval for the difference between the population means, assuming that the populations are approximately normally distributed with equal variances
Answer:
The 90% confidence interval, C.I = (0.693, 0.7307)
Step-by-step explanation:
Catalysts 1 and catalyst 2 have the following statistical data;
Catalyst 1
The number of batches in the sample, n₁ = 12
The average yield by the 12 batches of catalyst 1, [tex]\overline x_1[/tex] = 85
The sample standard deviation, s₁ = 4
Catalyst 2
The number of batches in the sample, n₂ = 10
The average yield, [tex]\overline x_2[/tex] = 81
The standard deviation, s₂ = 5
F-test = s₂²/s₁² = 5²/4² = 1.5625
The degrees of freedom, df = n₁ + n₂ - 2
∴ df = 12 + 10 - 2 = 20
The critical-t at 90% confidence level = 1.725
The F-test < The critical-t, we pool the variance
The 90% confidence interval with the assumption of equal variance is given as follows;
[tex]The \ 90\% \ confidence \ interval= \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times (s_p) \times \sqrt{\dfrac{1^{2}}{n_{1}}+\dfrac{1^{2}}{n_{2}}}[/tex]
[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
Therefore;
[tex]s_p[/tex] = √((12 - 1)×4² + (10 - 1)×5²)/(12 + 10 - 2)) ≈ 4.48
Therefore, we get;
[tex]C.I. = \left (85- 81 \right )\pm 1.725 \times 4.48 \times \sqrt{\dfrac{1}{12}+\dfrac{1}{10}}[/tex]
The 90% confidence interval, C.I = 0.693 < μ₁ - μ₂ < 7.307 = (0.693, 0.7307).
In a certain Algebra 2 class of 30 students, 7 of them play basketball and 15 of them
play baseball. There are 10 students who play neither sport. What is the probability
that a student chosen randomly from the class plays basketball or baseball?
Answer:
P=2/3Explanation:
since there are 10 students who play neither sport over 30, this means 20 students play basketball or baseball or both! (among them 2 students who play both basketball and baseball)
∴ the probability that a student chosen randomly from the class plays basketball or baseball is 20/30 and that equals 2/3 or 66.66%
Ryan goes for a run for 29 minutes. He knows that each mile he runs
takes 6 minutes. To the nearest tenth, how many miles did Ryan run?
(turn your answer into a mixed number...simplify it...then type it as a decimal)
Answer:
4 and 5/29
Step-by-step explanation:
The area of a circle, in terms of π , is 72 π m2. Find the value of the radius. Give your answer as a simplified surd.
Answer:
R=3rad2
Step-by-step explanation:
Area of circle: pi r^2
72pi=pir^2
r^2=72
r=6rad2
Help plzzzz I need the correct answers ASAP and that's my last marking period 4 and I'm in grade 12th
It's homework: Comprehension Questions - 3.1 Credit Basics:
Question 10: it's part 1 multiple choice questions and Part II: Analyze: Understanding Amortization
Janet just graduated from college, has a job she’s scheduled to begin in 3 months, and has decided to treat herself to 6 weeks of travel across South America before she buckles down and starts working full-time. To do the trip, she’s thinking of applying for a personal loan of $3500, and the bank she uses for her checking and savings account has offered her an interest rate of 24%. She has a goal of paying off the trip within two years, so she uses a Bankrate.com loan calculator and gets the following amortization schedule:
4) How many months does it take Janet to pay off her loan?
5) What is the total amount of interest Janet will pay at the end of the loan?
Answer:
try c
Step-by-step explanation:
What is a reasonable domain and range for the function in #13 If the frame must be at least 1 inch and no more than 3 inches wide
Answer:
[tex]Domain: \{1 \le x \le 3\}[/tex]
Step-by-step explanation:
Given
See attachment for options
Required
Determine the domain and the range
From the question, we understand that:
[tex]x \ge 1[/tex] --- at least 1 inch
[tex]x \le 3[/tex] --- not more than 3 inches
So, the domain is:
[tex]x \ge 1[/tex] and [tex]x \le 3[/tex]
Rewrite as:
[tex]1 \le x[/tex] and [tex]x \le 3[/tex]
Combine both:
[tex]1 \le x \le 3[/tex]
Hence, the domain is:
[tex]Domain: \{1 \le x \le 3\}[/tex]
There is no available to determine the range.
A general rule is that, substitute the limits of the domain (i.e. 1 and 3) in the function formula, the result is the range of the dataset.
For instance:
[tex]A(x) = 5x[/tex]
We have:
[tex]A(1) = 5*1=5[/tex]
[tex]A(3) = 5*3=15[/tex]
The range will be:
[tex]Range: \{5 \le A(x) \le 15\}[/tex]