The table shows the number of one doctor’s patients who caught a cold one week and whether or not they exercised regularly. help me please!
Answers
2) P(did not exercise | did not catch a cold) = 1/16
3) P(did not catch a cold | did not exercise) = 1/6
4) The events "did not exercise" and "did not catch a cold" are dependent events.
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
The formula of the probability of an event A is:P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.
Conditional probability formula:For events A, B,
P(A|B) means, event A and event B are depends on each other.
P(A | B) = n(A ∩ B) / P(B)
For given situation:
the total number of doctor’s patients: 8 + 30 + 10 + 2 =50
⇒ n(S) = 50
Let event A: did not exercise
⇒ n(A) = 10 + 2
⇒ n(A) = 12
⇒ P(A) = 12/50
event B: did not catch cold
⇒ n(B) = 30 + 2
⇒ n(B) =32
⇒ P(B) = 32/50
patient who did not catch a cold as well as who did not exercise = A ∩ B
⇒ n(A ∩ B) = 2
⇒ P(A ∩ B) = 2/50
2) To find: P(did not exercise | did not catch a cold)
⇒ P(A | B) = P(A ∩ B) / P(B)
⇒ P(A | B) = [tex]\frac{\frac{2}{50} }{ \frac{32}{50} }[/tex]
⇒ P(A | B) = 2/32
⇒ P(A | B) = 1/16
3) To find: P(did not catch a cold | did not exercise)
⇒ P(B | A) = P(B ∩ A) / P(A)
⇒ P(B | A) = [tex]\frac{ \frac{2}{50} }{ \frac{12}{50} }[/tex]
⇒ P(B | A) = 2/12
⇒ P(B | A) = 1/6
4) Since P(B | A) ≠ P(B)
i.e., P(did not catch a cold | did not exercise) ≠ P(did not catch a cold)
This means, the events "did not exercise" and "did not catch a cold" are dependent.
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Related Questions
How many -pound bags of soap flakes can Mr. Newman fill?
Answers
Answer:
where is the other part of the question
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answers
Step by step
Vertical angles are opposite each other.
Vertical angles are congruent, or the same
Translate the following written expression into an algebraic expression:
"The difference of y and 5, divided by 2"
Answers
Answer:
(y-5) ÷ 2
Step-by-step explanation:
8. If 5/12.5 is equivalent to -4/2x, what is the value of x?
Answers
Answer:
-5
Step-by-step explanation:
[tex]\frac{5}{12.5} = \frac{-4}{2x}[/tex]
[tex]5 \cdot 2x = 12.5 \cdot -4[/tex]
[tex]10x = -50[/tex]
[tex]x=-5[/tex]
5. Find the value of side x and y. Leave answers in simplest radical form a applicable.
Answers
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every ahead and move form may indeed be resolved to a set of triangles. Amazingly intricate connections exist between geometry and other areas of mathematics, particularly arithmetic, real or abstract, infinite series, arithmetic, and infinite series.
Here,
Sin 30 = Opposing Side/High
1/2 = 5 / y
y = 5 / (1/2)
y = 10
Cos 30 = Adjustment Side/ Hyp
√3/2 = x/y
√3/2 = x/10
x = 10√3 / 2
x = 5√3
In light of this, the given fractional problem's answer is
x = 5√3 and y = 10.
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
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Write three ratios that are equivalent to 75% and three
ratios that are equivalent to 100%.
Answers
The three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4 and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.
What is ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
First we have to write the equivalent ratios for 75%.
Since, 75% can be written as,
75/100
Simplifying this, 15/20
Again simplifying this, 3/4
Hence, the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4.
Now to write the equivalent ratios for 100%.
Since, 100% can be written as,
100/100
Simplifying this, 20/20
Again simplifying this, 4/4
Hence, the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.
Therefore, the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4 and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.
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Elise randomly surveyed students at her school to find out their favorite music. the table shows the results if Elise’s survey. if there are 400 students at Elise’s school, how many can she predict will like pop the best?
Answers
Answer:
125 students
Step-by-step explanation:
according to this survey, she surveyed 80 people, and of the 80 people she surveyed, 25 of them said they like pop best
set up a proportion to find how many students will like pop if there are 400 students at her school:
25/80=x/400
80x=10000
x=125
125 students
Getting a sum of either 5, 11, or 12 on a roll of two dice.
Can someone please explain what I need to do in order to go about solving this problem?
Answers
9514 1404 393
Answer:
7/36
Step-by-step explanation:
It can be helpful to make a chart similar to the attached that lists all 36 possible outcomes from the roll of two dice.
You can see there are 4 ways to roll a sum of 5. There are 2 ways to roll a sum of 11, and 1 way to roll a sum of 12.
Getting a sum of 5, 11, or 12 on a roll of 2 dice can be achieved 4+2+1=7 of the 36 ways the dice can fall.
P(5, 11, or 12) = 7/36
multiply 5/12 and the multiplicative inverse of -1/4
Answers
Answer:
The answer is -2
Step-by-step explanation:
Hope it helps :)
pleaseee help with these questions
Answers
Answer:
3. 56.8 inches
4. 314.2 yards
5. 1809.6 meters
6. 265 centimeters
please help it’s due in half an hour
Answers
Answer:
(a) They asked for one value of x
but I'll give you both
They're 2 and -2
(b)g(-1) = 4
Step-by-step explanation:
For (a) they're are looking for the value of x that is corresponding to 1 on the y axis
If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers
for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4
Multiply the two fractions (1/2)(2/5). Simplify your answer.
A.2/7
B.1/5
C.20/100
D.2/10
Answers
Answer:
b
Step-by-step explanation:
A group of children played a balloon dart game at the county fair. The children took turns at the game, and the first 9 players scored
230, 540, 420, 430, 540, 560, 275, 50, 250
Joey is the 10th player, and his score is recorded with the first 9 scores after his turn. If Joey wants his score to be higher than the 70th percentile of all 10 scores, at least how many points does Joey need to score?
Answers
Joey needs to score more than 540 points, to be higher than
70th percentile of all scores.
What is percentile?Percentile is defined as the value below which a given percentage falls under.
Example: In a group of 20 children, Ben is the 4th tallest and 80% of the children are shorter than you. Hence, it means that Ben is at the 80th percentile.
The percentile formula determines the performance of a person over others. The percentile formula is used in finding where a student stands in the test compared to other candidates. A percentile is a number where a certain percentage of scores fall below the given number.
Given,
Scores of first 9 players:
230, 540, 420, 430, 540, 560, 275, 50, 250
let the score of joey be x.
Scores of all 10 players
230, 540, 420, 430, 540, 560, 275, 50, 250
Dataset in ascending order =
50, 230, 250, 275, 420, 430, 540, 540, 560
70th percentile of the dataset
k = 70
i = the index
n = total number of given data values = 10
i = k/100(n+1)
i = 70/100 (9+1)
i = 70 × 10/100
i = 7
The index of 70th percentile = 7
value of 70th percentile = value of data on index 7.
value of 70th percentile = 540.
Hence, To be higher than 70th percentile of all scores,
Joey should score more than 540.
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What is m∠4 + m∠5 + m∠6?
180
270
300
360
Answers
Answer:360°
Step-by-step explanation:
Answer: D:360
Step-by-step explanation:
For each order, the web site applies a 7.7% sales tax to the price of the cards, plus a one time mailing fee of 5.95. Based on the information in the table, what will be the total cost for an order for 280 cards?
Answers
Answer: $1794.28
Step-by-step explanation:
280*5.95= 1666
0.077*1666= 128.282
1666+128.282= 1794.282
We round cause its money
help with explanation if possible
Answers
Answer: 448
Step-by-step explanation: Parallelogram formula base times height
lol sorry im being supperrrrrr lazy rn
Answers
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
c = 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
Using the Pythagorean theorem, a^2 + b^2 = c^2
54^2 + 72^2 = 8100
c^2 = 8100
[tex]\sqrt{8100}[/tex] = 90
90 = c
Does anunify know this ?Simplify and round the answer to the nearest hundreths place
Answers
The simplified form of the expression [tex]\sqrt[5]{1215}[/tex] is [tex]3\sqrt[5]{5}[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
Given, A radical [tex]\sqrt[5]{1215}[/tex].
Now we'll prime factor 1215.
= [tex]\sqrt[5]{5\times243}[/tex]
= [tex]\sqrt[5]{5\times3\times81}[/tex].
= [tex]\sqrt[5]{5\times3\times3\times3\times3\times3}[/tex].
= [tex]3\sqrt[5]{5}[/tex].
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Using data from 50 workers, a researcher estimates Wage = β0 + β1Education + β2Experience + β3Age + ε, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. The regression results are shown in the following table.
Coefficients Standard Error t Stat p-Value
Intercept 7.45 3.79 1.97 0.0554
Education 1.06 0.37 2.86 0.0063
Experience 0.37 0.18 2.06 0.0455
Age −0.02 0.06 −0.33 0.7404
Interpret the point estimate for β1.
A. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour.
B. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour.
C. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour, holding Age and Experience constant.
D. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour, holding Age and Experience constant.
Answers
Solve for x. 6x−24=x−2
OPTIONS:
Enter answer in the box!
X = [?]
Answers
Answer:
point A
Step-by-step explanation:
6x - 24 = X - 2
6x - 24 + 24 = X - 2 +24
2nd Step. Simplify
• Add the numbers
• Add the numbers
*6x = x + 22
3rd Step. Subtract X from both sides
6x = x + 22
6x - x = x + 22-x
Finally
X = 22/5
Examine the rotation. Which best describes point D?
Answers
A closet is is 5 feet wide, 3 feet long, and 6 feet tall. A box with dimensions 2 ft × 3 ft × 2 ft is inside the closet.
How much space in cubic feet is left inside the closet around the box?
Enter your answer in the box.
ft³
Answers
Answer:
78 cm³ of space is left inside the closet.
Step-by-step explanation:
Given that,
A closet is is 5 feet wide, 3 feet long, and 6 feet tall. A box with dimensions 2 ft × 3 ft × 2 ft is inside the closet.
We need to find the space is left inside the closet around the box.
Space left = volume of the closet - volume of the box
= 5×3×6 - 2×3×2
= 90 - 12
= 78 cm³
So, 78 cm³ of space is left inside the closet.
A chef makes small and large snacks to sell at a local art show. He cannot make more than 30
snacks before the show, with no more than 6 large snacks. The chef must make at least 10 small snacks to
earn a profit.
Part A
Let x represent the number of small snacks and y represent the number of large snacks. Given x ≥ 0 and
y 20, select all the inequalities that represent the situation.
0 x≤6
O y ≥ 10
Ox+y≤ 30
O 10x+6y≤ 30
0y≤6
0 x ≥ 10
-01:25
Answers
the inequalities that represent the situation are,
Ox+y≤ 30
0y≤6
0 x ≥ 10
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
Here, given that,
A chef makes small and large snacks to sell at a local art show.
He cannot make more than 30
snacks before the show, with no more than 6 large snacks.
The chef must make at least 10 small snacks to earn a profit.
Let,
x represent the number of small snacks
and y represent the number of large snacks.
Given x ≥ 0 and y 20
So, we get,
the inequalities that represent the situation are,
Ox+y≤ 30
0y≤6
0 x ≥ 10
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What is the geometric mean of 12 and 15?
Answers
Answer:
The geometric mean is 9.798
Step-by-step explanation:
Answer:
13.416407864998738
The solution set of 12 x squared minus 14 x equals 10 is
Answers
The given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is the statement as -
"12 x squared minus 14 x equals 10"
The given function can be written as -
f(x) = 12x² - 14x - 10
Refer to the graph attached. The x - intercepts show the solution of the given quadratic equation. So, we can write -
(x + 1/2)(x - 1.667) = 0
(x + 1/2) = 0 and (x - 1.667) = 0
x = -1/2 and x = 1.667
Therefore, the given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
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The height of a rock climbing wall is 137 feet. How many feet has Sara climbed when she is
48 from the top of the wall?
Answers
Answer:
137 - 48 = 89, so she climbed 89
Step-by-step explanation:
137-48=89
Your welcome :)
Which of the following is equivalent to
36
?
O _18
-6
1
18
1
6
Answers
Answer: 1/6
Step-by-step explanation: It was the first question on my quiz, hope it helped:)
The equivalent value of the expression [tex]36^{-(\frac{1}{2})[/tex] is, 1/6.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An expression [tex]36^{-(\frac{1}{2})[/tex].
We know, 6×6 = 36 = 6².
Therefore, [tex]36^{-(\frac{1}{2})} = (6^2)^{-(\frac{1}{2})[/tex].
[tex](6^2)^{-(\frac{1}{2})} = (6)^{2\times{-(\frac{1}{2})[/tex].
= 6⁻¹.
= 1/6.
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I NEED HELP. PLS ANSWER IF YOU KNOW HOW TO SOLVE COMPOSITE FIGURES!
Answers
2(3х + 9) what the answer plz help
Answers
Answer:
6x + 18
Step-by-step explanation:
2(3х + 9)
6x + 18
2 * 3x = 6x
2 * 9 = 18