Answer:
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
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: Not a user of an illegal drug.
Event B: Tests negative.
The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)
This means that [tex]P(B|A) = 0.9[/tex]
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.
So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]
What is the probability that an athlete tests negative and is not a user of an illegal drug
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Help please! I need help with this two step equations
Answer:
search it up on goggle lll
Answer:
3
Step-by-step explanation:
I want the answer only.
1 + hk + j use h=-5, j = -6, and k = 6
Help me
9514 1404 393
Answer:
-35
Step-by-step explanation:
Put the values where the corresponding variables are and do the arithmetic.
1 + hk + j
= 1 + (-5)(6) +(-6)
= 1 -30 -6
= -35
What is the slope of the line?
y + 2 = -22 - 3)
Answer:
Slope is 0
Step-by-step explanation:
Simplify to get y= -27
then you can see that the slope is 0
Hope it helps :)
A rectangle with an area of 47m² is dilated by a factor of 7. What is the area of the dilated rectangle? Enter your answer in the box. Do not leave your answer as a fraction.
?m²
Answer:
28m^2
Step-by-step explanation:
Answer:
28 square meters is correct for all future users.
Step-by-step explanation:
What’s the distance between -1/2 and 5/4 ?
Answer:
-1.75
Step-by-step explanation:
Answer:
7/4
Step-by-step explanation:
5/4-(-1/2)
5/4+1/2
5/4+2/4
7/4
who wants a slushie ?
Answer:
i want a slushie what's your favorite slushie flavor
Gabrielle's age is three times Mikhail's age. The sum of their ages is 84. What is Mikhail's age?
Answer: 21
Step-by-step explanation:
84 divided by 4 = 21 since grabielle is 21, and then mikhail is gonna be 3 times more so it’s gonna be 63
Answer:
Mikhail=21
Gabrielle=63
Step-by-step explanation:
G=3M
G+M=84
G=84-M
3M=84-M
4M=84
M=21
G=63
5 x 5/10 as a fraction
HELPPPPPPP 40 POINTS... ITS ONE QUESTION. 40 POINTS AND BRAINLIEST.. FIND X THERE IS ONE IMAGE
Answer:
x = 19Step-by-step explanation:
Use ratios:
30/20 = (x + 5)/(36 - 20)3/2 = (x + 5)/162(x + 5) = 3(16) 2x + 10 = 482x = 38x = 19the answer to x is 19 (x = 19)
I need help with this if you get it right I will mark you
Which expression is equivalent to 6(c+8)?
Answer:
Step-by-step explanation:
You haven't provide expressions to choose from.
6(c+8) = 6c+48
Answer:
6c + 48
Step-by-step explanation:
5) In a classroom, the ratio of boys to girls is 6:7. Select all possible statements that must be true about the classroom. a) There are exactly 6 boys. b) There is exactly 1 more girl than boy. c) The ratio of girls to total students is 7:13. d) The ratio of total students to boys is 13:6. e) The total number of students is a multiple of 13.
What is the value of d in the equation?
d'= 14
Please answer fast! I have only like 15 minutes. :(
Answer:
A is the correct answer. hope this helps you
4/5×5/6 can you help me
Answer:
2/3
Step-by-step explanation:
4/5*5/6 =2/3
please mark
Answer:
2/3
(Decimal Form : 0.6)
Step-by-step explanation:
Blakes goes from averaging 8 hours of sleep for a school night to averaging 6.5 hours of sleep on the weekend. What is the percent of change in the average hours of his sleep? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK. DO NOT BOTHER ANSWERING IF YOU DO NOT TELL ME HOW YOU GOT YOUR ANSWER!!)
A. 36
B. 70
C. 1/462
D. 6(4X+3Y-2)
E. 18.75
F. 23.36
G. 2.54
H. 36.3
I. 6(4X-3Y+2)
Answer:
Step-by-step explanation:
So Blakes sleep 8 hours per night during the school day
8 hours/night...................................100%
6.5 hours/night...................................?
6.5*100/8=81.25
the change in percentage is 100-81.25=18.75%
the percentage change is 18.75
if it is easier for you, another method is:
8-6.5=1.5 subtract the original amount to the new amount
1.5/8=0.1875 divide by the original amount
0.1875*100=18.75 find the percentage
What is the slope of the line shown in the graph?
A coordinate plane is shown. Points are graphed at −3 comma 2 and −1 comma −1. The points are connected by a line.
Question 2 (Essay Worth 3 points)
A circular picture is 8 inches in diameter.
Part A
What is the area of the picture in square inches?
A. 411 square inches
B. 8rt square inches
C. 161 square inches
D. 321 square inches
Part B
A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches?
A. 41 square inches
B. 120 square inches
C. 361 square inches
D. 40 square inches
i need help asap due tonight
Answer:
3 bucks
Step-by-step explanation:
Answer:
d=3
Step-by-step explanation:
if the whole thing equals 19, and you know that part of it is 10, that leaves the rest of it to be 9. the rest is divided into 3s, if you know the whole section is 9 then all you would have to do is divide 9 by 3 and that would get you 3
Help rn pls,! Its a math problem
Answer:
Dont nobody want to help you but thanks for the points lol
Step-by-step explanation:
Pizza Guy pizza delivery time for a pizza is
approximately normally distributed with a
mean of 22 minutes and a standard deviation
of 5. Pizza Guy guarantees delivery within 30
minutes or the pizza is free. What percent of
customers will get a free pizza?
a) 3.5% b) 4.5% c) 5.0% d) 5.5% e) 6.5%
Answer:
5.5%
Step-by-step explanation:
the pizza is free 5.5 so he need to deliver the pizza on time
IT'S FOR MIDDLE SCHOOOLLL PLZZZ HELPPPP
Tyler’s brother works in a shoe store. Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?
Answer:
22.5 i think
Step-by-step explanation:
Answer: it is 22.5
Step-by-step explanation:
According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that five or more families have life insurance?
Answer:
0.5819 = 58.19% probability that five or more families have life insurance
Step-by-step explanation:
For each family, there are only two possible outcomes. Either they have insurance, or they do not. The probability of a family having insurance is independent of other families. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
77% of husband-wife families with kids under 18 years old have life insurance.
This means that [tex]p = 0.77[/tex]
A random sample of six husband-wife families was selected.
This means that [tex]n = 6[/tex]
What is the probability that five or more families have life insurance?
This is
[tex]P(X \geq 5) = P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{6,5}.(0.77)^{5}.(0.23)^{1} = 0.3735[/tex]
[tex]P(X = 6) = C_{6,6}.(0.77)^{6}.(0.23)^{0} = 0.2084[/tex]
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) = 0.3735 + 0.2084 = 0.5819[/tex]
0.5819 = 58.19% probability that five or more families have life insurance
a basket is filled with apples. there are 10 green apples, which is 25% of the total number of apples in the basket. which equation can be used to determine x, the total number of apples in the basket?
Answer:
X=10 times 4
Step-by-step explanation: 10 =25 percent, 25 times 4 equal 100 percent, 10 times 4 is x
Pls help this is really important
Answer:
x = 30 I'm sure hope this helps
Someone help solve ill gift you nitro :)
6 1/2 minus 5 3/4 in math
6 and 1/2 minus 5 and 3/4 mathematically is equivalent to 3/4 .
Given, 6 and 1/2 minus 5 and 3/4 .
Solve for:
1. First off, convert both of these mixed number fractions into improper fractions.
6 and 1/2 minus 5 and 3/4
= [tex]\frac{13}{2} - \frac{23}{4}[/tex]
2. Find a common denominator
Multiply the numerator and denominator of the first fraction both by 2.
= [tex]\frac{13}{2} - \frac{23}{4}[/tex]
=[tex]\frac{26}{4} - \frac{23}{4}[/tex]
3. Subtract the fractions.
= [tex]\frac{26}{4} - \frac{23}{4}[/tex]
= [tex]\frac{3}{4}[/tex]
Know more about fractions,
https://brainly.com/question/8482939
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Which graph shows the point R(0, 4)?
Answer:
Graph D
Step-by-step explanation:
Graph D shows (0,4) because the x coordinate is 0, and then the y coordinate is 4 so you move up 4.
The graph D shows the point R(0, 4).
Given are four graphs we need to determine which graph shows the point R(0, 4),
A point R(0, 4) is represented in a Cartesian coordinate system as a point located at x = 0 and y = 4.
The graph that shows this point is a vertical line passing through the y-axis at 4. It is a line parallel to the x-axis, intersecting it at y = 4 and extending infinitely in both directions.
Visually, the graph of the point R(0, 4) would be a single point on the y-axis at y = 4.
Hence the graph D shows the point R(0, 4).
Learn more about graphs click;
https://brainly.com/question/17267403
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Ratio table answer If I buy two ice cream’s for six dollars how much would it cost to buy 10 ice cream’s
Answer:
It would cost $30 to buy 10 ice creams.
Step-by-step explanation:
1 ice cream costs $3
10*3=30