In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?
Answers
Answer: 11
Students have both a brother and a sister
Step-by-step explanation:
I don't think probability should be used for this question because the answer is quite clear
So in a class of 25 students
5 students don't have a sibling
So 25-5=20
Total number of siblings=14+17=31 siblings in total
So 20 people have 31 siblings
31-20=11
So the answer should be 11
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. The probability that a student who has a brother also has a sister is 11/25.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events that belong to E, and total cases are the size of the sample space.
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings.
So in a class of 25 students
5 students don't have a sibling
then, 25-5=20
Total number of siblings = 14+17
= 31 siblings in total
So, 20 people have 31 siblings
= 31 - 20
= 11
So, the probability that a student who has a brother also has a sister
= 11/ 25.
Learn more about probability here:
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Related Questions
Write the equation of the line that passes through the points (-1, -2) and (5, -4).
Answers
Answer:
y = -1/3x - 7/3
Step-by-step explanation:
To find the slope, you have to plug the values into the slope formula.
y2 - y1/ x2 - x1
-4 - (-2) / 5 - (-1)
-1/3
Now to find the y-intercept, plug in one of the coordinates into the equation.
y = -1/3x + b
-2 = -1/3(-1) +b
-2 = 1/3 + b
-7/3 = b
The equation is y = -1/3x - 7/3.
The Solution is Y = - ( 1 / 3 )X - 7 / 3 where points are ( 5 , - 4) and ( - 1 , - 2) that passes through a straight line. Y = MX + C is the Formula for Straight line equation.
As per given problem, M is Slope
M = (Y2 - Y1) / (X2 - X1)
M = (- 4 - (- 2)) / ( 5 - (- 1))
M = - (1 / 3)
Now, Line becomes
- 2 = - ( 1 / 3) x (- 1)+ C
- 2 = 1 / 3 + C
C = - (7 / 3)
So, Solution: Y = - (1 / 3)X - (7 / 3)
To know more about Straight Line Problems, refer to the below link
brainly.com/question/1617520
Someone help me please!
Answers
Answer:
[tex]50 \leq x \leq 350\\[/tex]
Step-by-step explanation:
Two barrels contain equal quantities of honey. From one barrel, 37 gallons of honey are drawn. From the other barrel, 7 gallons of honey are drawn. The quantity remaining in one barrel is now seven times that remaining in the other barrel. How much did each barrel contain at first?
Answers
At the start, each barrel has the same amount of honey, so:
Barrel 1 has X gallons
Barrel 2 has X gallons.
from 1, they extract 37 gallos, and from 2 they extract 7 gallons, so now:
Barrel 1 has X - 37
Barrel 2 has X- 7
and now, the quantity in the Barrel 2 is seven times the quantity in the barrel 1, so:
X- 7 = 7*(X - 37)
we need to find X.
X - 7 = 7*X - 37*7 = 7*X - 259
X - 7*X = 7 - 259
-6*X = -252
X = 252/6 = 42
So at the start, each barrel has 42 gallons of honey.
Write an equation for the line in slope-intercept form.
Answers
Answer:
y= 6/5x +0
Step-by-step explanation:
That just be how it is
Answer: y= 3/2 x
Step-by-step explanation:
use y = mx + b
HELP ASAP PLEASEEEE!
Answers
Answer:
The answer I think would be 8.
Step-by-step explanation:
Below are two parallel lines with a third line intersecting them.
X = ?
Answers
Jillene spends $240 on a new business the first month. If she spends 24% more each month, approximately how much will she spend (total sum) in 6 months?
Answers
Answer:
Jillene will spend $345.60 in 6 months.
Step-by-step explanation:
To find the answer we will turn 24% into a decimal. 24% ÷ 100 = 0.24. Now multiply 0.24 by $240 and we get $57.60. Because we are trying to find how much Jillene will spend in 6 months, we will multiply $57.60 by 6, which is $345.60. Therefore, $345.60 is our answer.
Answer: $1785.60
Step-by-step explanation:
240 x 6 = 1440
240 x 0.24 = 57.6
57.6 x 6 = 345.6
1440 + 345.6 = 1785.60
Final Answer: $1785.60
۔what set builder notation is = (2,3,5,7,11)this p
Answers
Given:
The set is:
[tex]\{2,3,5,7,11\}[/tex]
To find:
The set builder notation for the given set.
Solution:
Consider the given set:
[tex]S=\{2,3,5,7,11\}[/tex]
The element of given set are 2, 3, 5, 7, 11 and so on. These area the prime numbers.
If x defines each element of the set then x must belongs to P which is the set of prime numbers. So, the given set can be written as
[tex]S=\{x|x\in P\}[/tex]
Therefore, the set builder notation for the given set is [tex]\{x|x\in P\}[/tex].
Please help with this :)
Answers
Answer:
15 -2
Step-by-step explanation:
The department of natural resources reports that a water supply does not receive a 4-star rating if the fluoride concentration is less than 4%. In this context, what is a Type I error?
Answers
Answer:
natural resource department does not receive a 4 star rating
Step-by-step explanation:
The type I error is also known as the 'false positive'.
It means we means we reject or make an error while the condition or the result is actually true. In other words, we can say that we are rejecting the null hypothesis but the hypothesis is actually true in all populations.
A 'false negative' is considered a type II error.
in the context, the hypothesis is concentration of fluoride in water which should be less than 4%. This is true but the department does not a 4 star rating when the concentration is less than 4% on the water supply. So this is the type I error.
PLEASE HELP ASAP THANK YOUU: A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches.
Show your work and write your answer in a sentence.
Answers
Answer:
diameter of the wheel = 28.98 in (2 d.p.)
Step-by-step explanation:
Given information:
A unicycle wheel makes five rotationsThe unicycle travels 37.94 feetCircumference of a circle = πd (where d is the diameter)
One rotation of the wheel is equal to the circumference of the wheel.
Therefore, 5 rotations is equal to the sum of 5 circumferences.
To find the diameter of the wheel in feet, equate the expression for 5 circumferences to the total distance traveled and solve for d:
[tex]\begin{aligned}\textsf{5 circumferences} & = \textsf{total distance traveled}\\\implies 5 \pi d & = \sf 37.94\: ft\\d & = \sf \dfrac{37.94}{5 \pi}\\d & = \sf 2.415335416... \:ft \end{aligned}[/tex]
As 1 foot = 12 inches, multiply the found diameter in feet by 12 to calculate the diameter in inches:
[tex]\begin{aligned}d & =2.415335416... \times 12\\\implies d & = \sf 28.98\:\:in\:(2\:d.p.)\end{aligned}[/tex]
Therefore, the diameter of the wheel is 28.98 in (2 d.p.).
please teash me how to do
Answers
Answer:x=40
Step-by-step explanation: So since we know that AD is parallel to BC We know that M<c and M<a are congruent so we can use this equation to solve for x
2x-20= x+20
+20 +20
2x=x+40
-x -x
x=40
Nancy works at Yogurty's for $5.35 an hour. Last week, she worked 30 hours.
a) How much did she earn?
b) Nancy received a 25¢/hour raise this week. She worked 25 hours. How much did she earn?
Answers
Answer b) $140
$160.50
explanation:
she worked for 30 hours so that means she earned $5.35 per hour. so all you have to do here is $5.35 x 30 which gives you $160.50.
Answer for B:
$140
explanation:
25¢ is the same as $0.25 so first of all, add 0.25 onto $5.35 which gives you $5.60.
Now, (this is just the same equation as part A but with different numbers), since she earns $5.60 per hour and worked 25 hours, all you have to do it $5.60 x 25 which gives you $140.
Hope this helps :)
SOMEONE PLEASEEEE HELPPPP
Answers
Answer:
The triangles are not similar
Step-by-step explanation:
please find the sum or difference of (-37) - (-38)
will give brainliest
Answers
Step-by-step explanation:
(-37)-(-38)
=(-37)+38
=1
Then sign is positive ( great number-without sign)
The answer is 1 ( positive1)
need help with this problem
Answers
Answer:
it's either b or d.
Step-by-step explanation:
I'm not entirely sure, but its one of those.
The heights (in inches) of males in the United States are believed to be Normally distributed with mean LaTeX: \muμ. The average height of a random sample of twenty-five American adult males is found to be H = 69.72 inches and the standard deviation of the twenty-five heights is found to be s = 4.15. The standard error of H is = 4.15. A 90% confidence interval for ? is?
Answers
HELP I DONT GET THIS
Answers
hope that kinndaaa helps sorry xoxo
Please help me. 4^(x+1)+2^(x+1)+2^x-1=0
Answers
Answer:
x = -2Step-by-step explanation:
[tex]4^{x+1}+2^{x+1}+2^x-1=0[/tex][tex]4*2^{2x}+2*2^x+2^x-1=0[/tex]2ˣ = t4t² + 3t - 1 = 04t² + 4t - t - 1 = 04t(t + 1) - (t + 1) = 0(t + 1)(4t - 1) = 0t = -1 (discounted as 2ˣ can't be negative)t = 1/42ˣ = 1/42ˣ = 2⁻²x = -2Please answer ASAP I NEED HELP
Answers
Answer:
450 cm^3
Step-by-step explanation:
( 1/2 (5+7.5) 6 ) 12
pythagorean theorem
Answers
Pythagorean Theorem
Step-by-step explanation:
a squared time b squared plus c squared I think
Answer:
3ft
Step-by-step explanation:
c^2 = a^2 + b^2 so, we have c = 5ft, and lets call this one a = 4ft
so: x^2 = 5^2 - 4^2 => x = sqrt(25 - 16) => x = 3ft
The Martins' swimming pool is a square
and is in the center of a square plot that
is 34 meters on a side. They have 1,092 square meters of lawn.
How long is one side of the pool ?
Answers
Answer: 8
Step-by-step explanation:
x^2 = (34•34)-1,092
x^2= 1,156-1,092
x^2= 64
x=8
Write the exact value of the side length of a square whose are in square units are given. For example, use sqrt(9) to represent the square root of 9. Areas: 36 37 100/9 2/5 0.0001 0.11
Answers
Answer:
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
Step-by-step explanation:
To find - Write the exact value of the side length of a square whose are in square units are given
a) 36
b) 37
c) 100/9
d) 2/5
e) 0.0001
f) 0.11
Proof -
We know that ,
If a is the side length of the square then,
Area of square = a²
Now,
a) 36
⇒a² = 36
⇒a² = (6)²
⇒a = 6
∴ we get
Side length of the square is 6 units.
b.) 37
⇒a² = 37
⇒a² = [sqrt(37)]²
⇒a = sqrt(37)
∴ we get
Side length of the square is sqrt(37) units.
c.)100/9
⇒a² = 100/9
⇒a² = [10/3]²
⇒a = 10/3
∴ we get
Side length of the square is 10/3 units.
d.)2/5
⇒a² = 2/5
⇒a² = [sqrt(2/5)]²
⇒a = sqrt(2/5)
∴ we get
Side length of the square is sqrt(2/5) units.
e.)0.0001
⇒a² = 0.0001
⇒a² = [0.01]²
⇒a = 0.01
∴ we get
Side length of the square is 0.01 units.
f.)0.11
⇒a² = 0.11
⇒a² = [sqrt(11)/10]²
⇒a = sqrt(11)/10
∴ we get
Side length of the square is sqrt(11)/10 units.
We get the value of the,
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
We have to find the exact value of the side length of a square whose are in square units are given
a) 36
b) 37
c) 100/9
d) 2/5
e) 0.0001
f) 0.11
We have given that,sqrt(9) to represent the square root of 9.
We know that ,
If a is the side length of the square then,
what area of the square?Area of square = a²
For option a) 36
⇒a² = 36
⇒a² = (6)²
⇒a = 6
∴ we get side length of the square is 6 units.
For the option b is 37.
⇒a² = 37
⇒[tex]a^2 = \sqrt{37} ^2[/tex]
⇒[tex]a = sqrt(37)[/tex]
∴ we get side length of the square is [tex]\sqrt(37)[/tex] units.
c.)100/9
⇒[tex]a^2 = 100/9[/tex]
⇒[tex]a^2= [10/3]^2[/tex]
⇒[tex]a = 10/3[/tex]
∴ we get side length of the square is 10/3 units.
for the option d.)2/5
[tex]a^2= 2/5[/tex]
[tex]a^2 = [\sqrt(2/5)]^2[/tex]
⇒[tex]a = \sqrt(2/5)[/tex]
∴ we get side length of the square is [tex]\sqrt(2/5)[/tex]units.
for the option e.)0.0001
[tex]a^2 = 0.0001[/tex]
[tex]a^2 = [0.01]^2[/tex]
[tex]a = 0.01[/tex]
∴ we get side length of the square is 0.01 units.
For option f.)0.11
⇒[tex]a^2 = 0.11[/tex]
⇒[tex]a^2= [\sqrt(11)/10]^2[/tex]
[tex]a = \sqrt(11)/10[/tex]
∴ we get side length of the square is[tex]\sqrt(11)/10[/tex] units.
Therefore we get,we get the value of the,
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
To learn more about the area visit:
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Find the area of a rectangle that is 7 cm long and 3 cm wide. You can use the tool to help you solve. 7 cm2 10 cm2 20 cm2 21 cm2
Answers
Answer:
21sq
Step-by-step explanation:
multiply the l times the w which would be 3x7 and get 21.
Answer:
21 cm
Step-by-step explanation:
The average of 9 scores is x. If the tenth score is 36 points more than x, by how many points will the tenth score raise the average?
Answers
Answer:
3.6
Step-by-step explanation:
The average of 9 scores is x.
average = (sum of scores)/(number of scores)
x = (sum of scores)/9
sum of scores = 9x
The sum of the 9 scores is 9x.
The tenth score is 36 more than x, so it is x + 36.
The sum of the 10 scores is 9x + x + 36 = 10x + 36.
The average of the 10 scores is (10x + 36)/10 = x + 3.6
The difference of averages is
x + 3.6 - x = 3.6
certain plant grows 1 3 4 inches every week. How long will it take the plant to grow 6 1 4 inches? How long will it take the plant to grow 6 1 4 inches?
Answers
Answer:
it will take around 4.5 weeks
Step-by-step explanation:
614 divided by 134 will give you 4.582
Answer:
4.6 weeks
Step-by-step explanation:
In the question, it stated that the plant grows at the rate of 134 inches per week. And we can get the proportion:
[tex]\frac{1 week}{134 inches}[/tex]
Now, if you want to get the number of weeks it takes to grow 614 inches, set up the proportion
[tex]\frac{x }{614 inches}[/tex]
with x representing the number of weeks we are trying to find.
Since the two fractions are proprtional - we assume that the plant will always grow at the same rate, then we can state:
[tex]\frac{x }{614 inches}[/tex] = [tex]\frac{1 week}{134 inches}[/tex]
Now, cross multiply and simplify:
134x = 614
x = 614/134
x = 4.6 (Weeks)
"A supplier of digital memory cards claims that no more than 1% of the cards are defective. In a random sample of 600 memory cards, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the supplier's claim that no more than 1% are defective."
Answers
Answer:
Both the values fall in the critical region so we reject H0: p ≤ 0.01 and conclude that the results are significantly different from chance identification and it is not a sample fluctuation.
Step-by-step explanation:
1) Formulate the hypothesis
H0: p ≤ 0.01 against the claim Ha: p > 0.01
2) Choose the significance level ∝= 0.01
3) The test statistics under H0 is
z= x -np /√npq ( without continuity correction)
z= x ± 1/2 -np /√npq ( with continuity correction)
4) the critical region is z> ±2.33 because the alternate hypothesis is stated on greater than basis.
5)Computations:
Z= x -np /√npq ( without continuity correction)
Z= 6- 600( 0.03)/√ 600( 0.03)(0.97)
z= - 2.82 ( without continuity correction)
z= x ± 1/2 -np /√npq ( with continuity correction)
Z= (6-0.5)- 600( 0.03)/√ 600( 0.03)(0.97)
z= -12.5/4.1785
z= -0.29915 ( with continuity correction)
6) Both the values fall in the critical region so we reject H0: p ≤ 0.01 and conclude that the results are significantly different from chance identification and it is not a sample fluctuation.
Abigail is 54. Inches tall which of the following is Abigail height
Answers
Answer:
4.5 feet
Step-by-step explanation:
One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:
Can yall help me with this!!
Answers
Because the scale factor is 4 all you do is multiply your coordinates by 4
Use substitution to determine if O is a solution of 5x = 5.
HELP!
Answers
Answer:
x=1
Step-by-step explanation:
5x1=5
