Answer:
0.5532
Step-by-step explanation:
We have these events
WF = Wins the first game
LF = lose the first game
WS = Wins the second game
LS = lose the second game
Then
Prob(WF) = 0.6
Prob(LF) = 0.4
Prob(WS|WF) = 0.35
Prob(WS|LF) = 0.65
1. If he wins the second game, the probability that he lost the first =
P(Lf|WS)
= 0.4x0.65/0.4x0.65+0.6x0.35
= 0.21/0.47
= 0.5532
0.5532 is the probability that he lost the first game given that he wins the second
The following list gives the number of siblings for each of 8 students. 3, 4, 2, 1, 2, 0, 3, 0 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."
Answer:
3, 2, 0
Step-by-step explanation:
There are three modes, all numbers have at least two appearances.
Please give thanks by clicking the heart! I solved your other problem too :)
t = i/pr is what formula?
Step-by-step explanation:
it is the formula to calculate the time
in the formula
t = I / pr
t stands for time.
I stands for interest.
p stands for principal.
r stands for rate.
Hope it helps. :)
A test for syphilis gives a positive result with probability 0.98 when tested on a person who has the disease. The test gives a negative result with probability 0.9 when tested on a person who does not have the disease. Assume that 3% of a society has the disease, and compute the following probabilities in the order they are asked. Note that for each individual there are two disease status(disease, no disease) and two types of test results(positive, negative). (a) (0.5 point) Compute the probability that an individual has the disease and has a positive test result. Explain your computation. (b) (0.5 point) Compute the probability
Answer:
The probability that an individual has the disease and has a positive test result is:
9.8%.
Step-by-step explanation:
Probability of a true positive result for a test of syphilis = 0.98 or 98%
Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)
Probability of a true negative result for a test of syphilis = 0.9 or 90%
Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)
Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%
The sum of three consecutive even numbers is 228. What is the 3rd number?
Answer:
78
Step-by-step explanation:
x+(x+2)+(x+4)=228
x+x+2+x+4=228
3x+6=228
Subtract 6 from both sides
3x=228-6
3x=222
Divide both sides by 3
x=74.The first number is 74
The second number (x+2)=74+2=76
The third number (x+4)=74+4=78
What is the equation in slope-intercept form of a line that is perpendicular
to y = 1/3x +2 and passes through the point (3, 1)?
What percent of 88 is 154?
Will mark brainliest for the first correct answer!
Answer:
the answer is 175%
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
I got the answer wrong, this apparently is the correct answer. My deepest apologies.
57.14% is the answer that I put and it was incorrect.
Hey!! Can you also help me with this thank you−3(2y − 9) − (5y + 4)
Answer:
Let's simplify step-by-step.
3(2y−9)−(5y+4)
Distribute the Negative Sign:
=3(2y−9)+−1(5y+4)
=3(2y−9)+−1(5y)+(−1)(4)
=3(2y−9)+−5y+−4
Distribute:
=(3)(2y)+(3)(−9)+−5y+−4
=6y+−27+−5y+−4
Combine Like Terms:
=6y+−27+−5y+−4
=(6y+−5y)+(−27+−4)
=y+−31
Answer:
=y−31
Step-by-step explanation:
Which figure shows a line of symmetry?
Answer:
C)
Step-by-step explanation:
The other ones do have symmetry but it's not in the same direction
(not entirely sure but the way they are shown this makes the most sense)
Hope this helped! :)
There were 6 boys and 9 girls on the camping trip. What was the ratio of boys to girls? 3:2 6:3 6:9 2:3
Answer:
The ratio of boys to girls is 2:3.
Step-by-step explanation:
6:9 = 2:3
- Jennifer opened a new savings account on Thursday with a deposit of $60. - She made a withdrawal of $40 on Friday. - She then made a deposit of $80 on Saturday. Which expression represents her new account balance?
Answer:
(60-40)+80
Step-by-step explanation:
What is the equivalent expression for 6x + 18
A drilling company has estimated a 40% chance of striking oil for their new well. A detailed test has been scheduled for more information. Historically, 60% of successful wells have had detailed tests, and 20% of unsuccessful wells have had detailed tests. Given that this well has been scheduled for a detailed test, what is the probability that the well be successful
Answer:
Step-by-step explanation:
this is the answer
Question 1 What is the answer to the following integer operation: - 8 + 3
Remember what you do when adding two integers with DIFFERENT SIGNS!
Question 2 What is the answer to the following integer operation: 7 - (-14)
Please remember the rule: Keep, Change, Change!
Question 3 What is the answer to the following integer operation: 8 x (-2)
Remember: when you multiply different signs, what will the sign be?
Question 4 What is the answer to the following integer operation: (-36) ÷ (9)
Remember when you divide different signs, what will the sign be?
Question 5 Solve the following expression using Order of Operations/PEMDAS:
24 ÷ 8 x (7+3) ÷ 5
Question 6 Solve the following using Distributive Property:
8(2x +9) - 2
Question 7 Simplify the following expression by combining like terms:
36y - 8y + 15 - 13
Remember, in order to combine terms they need to have the same variable. You cannot combine constant terms and variable terms!
Question 8 Solve the following exponential expression:
3/4
Question 9 Solve the following exponential expression:
18/0
Question 10 Solve the following exponential expression:
18/1
Question 11 Solve the following exponential expression:
1
_
9-3
IF YOU CAN SEND ME THE CORRECT ANSWERS FOR THIS YOU GET 100 POINTS AND YOU GET MARKED THE BRAINLYEST OK THANKS YOU SO MUCH
Answer
Q1. -8+3
solution:
= -8+3
= -5 .Ans
Rule : if the sign are different subtract and and keep the sign of larger value.
Q2. 7-(-14)
solution :
= 7-(-14)
= 7 + 14
= 21 .Ans
Rule: if the signs are same add and keep the sign same
Q3. 8× (-2)
solution:
= 8×-2
= -16. Ans
(solve bracket first)
Q4. (-39) ÷ (9)
solution:
= -39 ÷ 9
= -4 .Ans
Q5. 24 ÷ 8 × (7+3) ÷ 5
solution:
= 24 ÷ 8 × (10) ÷ 5
= 24÷ 8 × 10 ÷ 5
= 3 × 2
= 6
(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )
Q6. 8 (2x+9) - 2
solution:
= 8 (2x+9) -2
= 16x + 72 - 2
= 16x + 70 .Ans
Q7. 36y - 8y + 15 - 13
solution:
= 36y- 8y + 15 - 13
= 30y + 2 .Ans
Q8. 3÷ 4
solution :
= 3÷ 4
= 0.75 .Ans
Q9. 8/0
soution: It is undefined or you cannot evaluate it. Explanation: You cannot evaluate 8 /0 because there is no real number.
Q10. 18 /1
solution:
= 18/1
= 18 ÷ 1
= 18. Ans
Explanation :This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is. We don't even have to pay that much attention to the number we are dividing. We just have to make sure that when dividing any number by 1, we remember the answer is always itself.
Q11. 1 ÷ 9-3
solution:
= 1 ÷ 9-3
= 0.1111 - 3
= −2.8888 .Ans
(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )
Joe solved the equation 3 + x/2 = 10 and justified each step as shown. Identify Joe's error and fix his mistake. ( Only answer if you truly know how. No Plagiarism and please don't reposted another students answer on brianly. Will Mark Brainliest).
Happy Holidays! :)
He swapped the Subtraction Property of Equality and the Multiplication Property of Equality.
The proper steps in order would be as shown:
3 + x / 2 = 10 Given equation
x / 2 = 7 Subtraction Property of Equality (-3 from both sides)
x = 14 Multiplication Property of Equality (x2 on both sides)
if f(x)=2x and g(x)=5x, what is f(g(x)) when x=3
Answer:
30
Step-by-step explanation:
First: f(3)=2(3) is 3F=6, divide by 3 on each side and F=2.
Second g(3)=5(3) is 3G=15, divide by 3 on each side and G=5.
Finally, f(g)(x) is (2)(5)(3) = 10x3 = 30.
The value of the function f ( g ( x ) ) when x = 3 is 30
What is Composition of functions?
Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that
h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be f (x ) = 2x
Let the second function g ( x ) = 5x
Now ,
The composite function is of the form f ( g ( x ) ) ,
So assign the value of x in f ( x ) as x = g ( x )
And , g ( x ) = 5x
So , the composite function will be
f ( 5x ) = 2 ( 5x )
= 10x
Now , when x = 3
f ( g ( 3 ) ) = 10 x 3
= 30
Therefore , the value of f ( g ( 3 ) ) is 30
Hence , the value of the function f ( g ( x ) ) when x = 3 is 30
To learn more about composite functions click :
https://brainly.com/question/17673639
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Pls help me! ;-; 20 Points WIll mark Brainliest!!!
What is the measure of PLEASE HELP?!
I need help please I have to finish this
Answer: x=4
Step-by-step explanation:
We know that line segment AC= AB + BC
we also know that AB= 3x+8 and BC= 2x-5
by substituting these, we get AC= (3x+8)+(2x-5)
AC is given as being 23, so we know that
23= (3x+8)+(2x-5)
by combining like terms, we get that
5x+3=23
simplify this to get that x=4
Please Help! I will give brainliest!
Answer:
i think ac=10.4
Step-by-step explanation:
7/12 x 1/8 Find the product of in simplified form
Answer:
7/96
Step-by-step explanation:
to find the answer you need to multiply both numerators together and put that over the product of the denominators, this is going to leave you with a fraction smaller than the original fractions. that is normal, because you are multiplying terms smaller than one together. same applies to decimals less than one
How do you do the equation -8(0.5y - 3
Answer:
-4y+24
Step-by-step explanation:
You multiply -8 by each figure in the parenthesis.
So, -8(0.5y) and -8(-3) which is -4y+24 .
n a science experiment, the initial temperature was 55 degrees Fahrenheit, and each hour after, the temperature dropped by 4 degrees. Which expression represents the temperature, in degrees Fahrenheit, after t hours?
Answer:
f(t) = 55 = 4t
Step-by-step explanation:
-11d+6=13d+22
(Plz help me)
Answer:
d=1.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
-11d+6=13d+22
-11d - 13d = 22 - 6
-24d = 16
Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
8
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.
Answer:
x = 3 unitsStep-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = h
b = 8/2 = 4
c = 5
plugin values into the formula:
h² + 4² = 5²
h² = 5² - 4²
x = √9
x = 3
help me plz I can't get the answer right
Answer:
(If they give you a decimal place to round to use that) :)
9: 0.1026272578 mL/g
10: 1.8666666667 mL/g
Step-by-step explanation:
Density is M / V like a kinda heart you know? So mass divided by volume, the sink or float part you give context for although that is the density
find the magnitude and direction in degrees of the vector v=6i+2 seq31
Answer:
Please check the explanation.
Step-by-step explanation:
Given the vector
v = 6i + 2√3j
The Magnitude of a vector:
[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]
[tex]=\sqrt{6^2+\left(2\sqrt{3}\right)^2}[/tex]
[tex]=\sqrt{36+12}[/tex]
[tex]=\sqrt{48}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}[/tex]
[tex]=\sqrt{3}\sqrt{2^4}[/tex]
[tex]=4\sqrt{3}[/tex]
The Direction of a vector:
tan Ф = y/x
y=2√3
x = 6
tan Ф = y/x
= 2√3 / 6
= √3 / 3
[tex]\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)[/tex]
[tex]\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}[/tex]
You can run 80 yards in 20 seconds, how many yards
can you run in 48 seconds
Can someone please answer please
Answer:
3(x)+2
Step-by-step explanation:
2(5)+6 = 16
3(5)+2 = 17
4(5)-5 = 15
5(5)-10 = 15
Standard tests, such as the SAT or ACT or MCAT, tend to make extensive use of multiple-choice questions because they are easy to grade using software. If one such multiple choice question has possible correct answers of a, b, c, d, e, what is the probability of a wrong answer if the answer is a random guess
Answer:
4/5
Step-by-step explanation:
Given that:
Number of options = a, b, c, d, e
Number of correct answer choice = 1
Therefore, number of wrong answers = 4
Recall :
Probability = (number required outcome / number of total possible outcomes)
P(wrong answer) :
Number of Required outcome = number of wrong answer choices = 4
Total answers = 5
Hence,
P(wrong answer) = 4 / 5 = 0.8
A veterinarian knows that the supplement glucosamine is beneficial for dogs’ joints. He wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health. The veterinarian asks the owners of dogs with known joint issues if they would be willing to have their dog participate in his study, and 32 owners agree to the study. Sixteen dogs are randomly assigned to the glucosamine group and the remaining 16 are assigned to the glucosamine with chondroitin group. After 6 months, the dogs’ joint health is measured for each treatment and compared. The results of the study were inconclusive and the veterinarian decides to do the experiment again. He gets 24 volunteers and decides that he needs to use a randomized block design.
Which variable would not be an appropriate variable for blocking?
age
size
color of coat
breed
Answer:
Colour of coat
Step-by-step explanation:
We are told that the veterinarian wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health.
In randomized block design, blocking is the arrangement of experimental units in groups known as blocks which are similar to one another.
Looking at the options given, by blocking on size, age or dog breed, the source of variability which led to the inconclusiveness initially would be controlled which then leads to a greater accuracy in result. Since there can be big, medium and small size of dog: there can be older or younger dogs: there can be different type of dog breeds as well. All these can likely affect the results of the experiment.
Whereas, blocking on colour of coat is not an appropriate variable because it has no effect on the experiment.