Answer:
0.4198 = 41.98% probability that he or she has a basic model
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Extended warranty
Event B: Basic model
Probability of extended warranty:
34% of 50%(basic model)
47% of 100 - 50 = 50%(deluxe model). So
[tex]P(A) = 0.34*0.5 + 0.47*0.5 = 0.405[/tex]
Intersection of events A and B:
34% of 50%(basic model with extended warranty). So
[tex]P(A \cap B) = 0.34*0.5 = 0.17[/tex]
How likely is it that he or she has a basic model
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.17}{0.405} = 0.4198[/tex]
0.4198 = 41.98% probability that he or she has a basic model
204 students went on a field trip. Four buses were filled and 8 students traveled in cars. How many students were on each bus?
Answer:
49
Step-by-step explanation:
204-8=196 in buses
each bus= 196÷4=49
Help please
What is the value of b?
Answer:
3[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Find 'c' first by using the Altitutude Rule:
4/c = c/9
cross-multiply to get:
c = [tex]\sqrt{36}[/tex] or 6
Now you can find 'a' by using the Pythagorean Theorem:
4² + 6² = a²
a = [tex]\sqrt{52}[/tex]
Now you can find 'b' by using the Pythagorean Theorem:
([tex]\sqrt{52}[/tex])² + b² = (9+4)²
52 + b² = 169
b² = [tex]\sqrt{117}[/tex]
b = [tex]\sqrt{117}[/tex] = [tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{13}[/tex]
b = 3[tex]\sqrt{13}[/tex]
The diagram represents a 12 cm by 4 cm rectangle.
12 cm
4 cm
Calculate the area of the rectangle, giving the units of your answer.
If 4/5 of comcrete covers 5/6 of a bridge, how many tons if concrete is required to cover the entire bridge
Answer:
Write and solve an equation of proportions:
Step-by-step explanation:
4/5 ton 5/6 bridge
-------------- = ------------------
x 1 bridge
Then (4/5) * (1 bridge) = (5/6 bridge)x.
Solve this for x by mult. both sides of the equation by 6/5:
(6/5)(4/5) = x
24/25 tons of concrete are needed to complete the entire bridge.
Match the term with the definition. (5 points) Column A 1. Triangle : Triangle 2. Rectangle : Rectangle 3. Circle : Circle 4. Cylinder : Cylinder 5. Cone : Cone Column B a. perpendicular cross section of a pyramid b. parallel cross section of a sphere c. shape created when a right triangle is rotated about the y-axis d. shape created when a rectangle is rotated about the y-axis e. perpendicular cross section of a cylinder
Answer:
See belowStep-by-step explanation:
Q1
a. RectangleQ2
1. Triangle : a. perpendicular cross section of a pyramid 2. Rectangle : e. perpendicular cross section of a cylinder3. Circle : b. parallel cross section of a sphere 4. Cylinder : d. shape created when a rectangle is rotated about the y-axis 5. Cone : c. shape created when a right triangle is rotated about the y-axisQ3
CircleQ4
Rectangle with l > 2w, rotated about lQ5
22/56 = 0.39 Option BWhat is the total area? Use 3 for Pi.
answer fast pls! xx
Answer:
146.3m²
Step-by-step explanation:
area of quarter circle=1/4π×8²
=50.3m²
area of the square=s²
8×8=64m²
area of the triangle=1/2bh
1/2×8×8=32m²
total area=50.3+64+32=146.3m²
-X – 3, solve for a when g(x) = 6.
PLSSS
7. Use substitution. What is the solution
to the system of equations? Explain.
This is the question and equation please helpppppp
Help ASAP NEED HELP
Answer:
Its C
Step-by-step explanation:
first you would do the square which would be 3x3 which is 9 next you would do the rectangle which is 9x3 which is 27
9+27=36
help please and thank youu
Answer:
c
Step-by-step explanation:
number number number number
There are 3 answers need help to get my grade up to a 70%
Answer:
From (2, 1) move up one and over four
i’m stuck please help me
What are the solutions to the equation x2-12x + 20 = –20?
x = 2, 10
Solve value of x by factoring, getting
(x - 2)(x - 10) = 0
Akili has two tests next week. The probability that he will pass the first test, science, is 3 4 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 4 5 ; otherwise, the probability is only 1 3 that he will pass the math test. What is the probability he passes exactly one test
Answer:
0.2333 = 23.33% probability he passes exactly one test
Step-by-step explanation:
We have these following probabilities:
3/4 probability that he passes the first test.
If he passes the first test, 4/5 probability that he passes the math test.
If he does not pass the first test, 1/3 probability that he passes the math test.
What is the probability he passes exactly one test
Two scenarios:
Pass first(3/4 probability) and fails second(1/5 probability).
Fails first(1/4 probability) and passes second(1/3 probability). So
[tex]p = \frac{3}{4}*\frac{1}{5} + \frac{1}{4}*\frac{1}{3} = \frac{3}{20} + \frac{1}{12} = \frac{9 + 5}{60} = \frac{14}{60} = 0.2333[/tex]
0.2333 = 23.33% probability he passes exactly one test
Determine whether the given value is a solution of the equation. Show your work.
21 = x − 5; x = 16
Step-by-step explanation:
No Not an answer
21=x-5
x=26
4-(-5)
Integer Rules
Step-by-step explanation:
4-(-5)
= 4+5
= 9
............
Which of the following is NOT type of magnet
a
permanent magnet
b
electromagnet
c
temporary magnet
d
Domain magnet
Answer:
Is not a type of magnet a domain magnet
The diameter of a circular flower bed is 12 meters. What is the area of the flower bed? (Use 3.14 for pi)
Answer:
Step-by-step explanation:
diameter = 12 m so
the radius is d/2=12/2=6 m
A = pi*r² = 3.14 *6² = 113.04 m²
Answer:
113.04
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
3x+2x-13=47 solve for x
Please show the work
Laura bought y yards of fabric on Saturday. The next day, she went back and bought 3 more yards than she did on Saturday. If each yard of fabric costs $5, write an expression in simplest form for the total amount of money she spent on both days.
Answer:
(y+3)*5
im pretty sure this is correct
How tall are you in centimeters (1 inches =2.54)
Answer:
Im about 178 centimeters
Step-by-step explanation:
help i will give brainlist
Answer:
its #2 (on the top right)
Step-by-step explanation:
Let the random variable X be equally likely to assume any of the values 1/14, 1/7, or 3/14. Determine the mean and variance of X. The mean is Enter your answer; The mean is 1/7 [Give exact answer in form of fraction.] The variance is Enter your answer; The variance is 0.1190 [Round your answer to four decimal places (e.g. 98.7654).]
Answer:
1/7 ;
0.0034
Step-by-step explanation:
Given that:
X = 1/14, 1/7, 3/14
n = number of observations = 3
Since, probability of X is equally likely ;
P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3
The mean, m ;
Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)
= 1/42 + 1/21 + 3/42
= (1 + 2 + 3) / 42
= 6 / 42
= 1/7
The variance :
Σx²*p(x) - m²
((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2
= 0.0238095 - 0.0204081
= 0.0034014
= 0.0034
Two drawings are given below. Drawing 2 is a scale drawing and Drawings 1 is an original drawing.
The scale factor from Drawing 1 to Drawing 2 is _________%
Answer:
40%
Step-by-step explanation:
Answer:
45%???????????
Step-by-step explanation:
The image of the point (6, 6) under a translation is (5,2). Find the coordinates of
the image of the point (0, 2) under the same translation.
9514 1404 393
Answer:
(-1, -2)
Step-by-step explanation:
The difference between the coordinates of the image and the coordinates of the original is the same for both points.
X - (0, 2) = (5, 2) -(6, 6)
X = (5, 2) -(6, 6) +(0, 2) = (5-6+0, 2-6+2)
X = (-1, -2)
The image of the point after translation is (-1, -2).
After a discount of 30%, the sale price of a ride
pass at a fun park is $35. What was the original
price?
Answer:
Step-by-step explanation:
Its simple really, its 45.5
Since its a mark down and you want to find the original number, you have to multiply 35 by 1.3
35 x 1.3 = 45.5
Which then gives you 45.5
118.4 divided by 6.4 = ?
EXPLAIN YOUR ANSWER
Answer:
18.5
Step-by-step explanation:
to do this question you need to move the decimals. When your denominator has a decimal in it, you need to get rid of it. in order to do that, you have to move the decimal on both numbers so the numbers being divided would be 1184/64. Just divide from there
The division of the given numbers results as 19.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The given expression is 118.4 ÷ 6.4.
The division can be done step by step as follows,
Step 1:
Both the decimal numbers have only one digit after the decimal.
Thus, both can be multiplied by 10 to remove the decimal as follows,
118.4/6.4 = (118.4 × 10)/(6.4 × 10)
= 1184/64
Now, the equivalent expression becomes as 1184 ÷ 64.
Step 2:
Divide 1184 and 64 with their largest common factor as follows,
(1184 ÷ 16)/(64 ÷ 16) = 76/4
Step 3:
Again divide 76 and 4 to get 19 as follows,
76/4 = 19
Hence, the given expression can be simplified to give 19 as the result.
To know more about decimal number click on,
brainly.com/question/4708407
#SPJ2
Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test
Answer:
Option (4)
Step-by-step explanation:
Jordan spent 5 hours studying for 3 test with equal amount of time studying for each test.
On the number line, there are 3 small segments between each number.
Every small segment will represent time = [tex]\frac{1}{3}[/tex] hours
Total number of small segments = 15
If Jordan takes 3 equal durations for the study of each test,
Total number of small segments for each test = [tex]\frac{15}{3}=5[/tex]
Now we can plot these points on the number line.
Further count the segments for the answer ( 1 hour plus 2 small segments)
= 1 + [tex]2\times \frac{1}{3}[/tex]
= [tex]1\frac{2}{3}[/tex]
Therefore, time given for studying each test = [tex]1\frac{2}{3}[/tex] hours
Option (4) will be the answer.
Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind
of coin does she have?
