Answer:
0.3634 = 36.34% probability that the Wilson family had at least 5 girls.
0.8554 = 85.54% probability that the Wilson family had at most 5 girls.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either it is a girl, or it is not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used 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.
They had 8 children.
This means that [tex]n = 8[/tex]
The probability of a child being a girl is .5
This means that [tex]p = 0.5[/tex]
Probability that the Wilson family had: at least 5 girls?
This is:
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188[/tex]
[tex]P(X = 6) = C_{8,6}.(0.5)^{6}.(0.5)^{2} = 0.1094[/tex]
[tex]P(X = 7) = C_{8,7}.(0.5)^{7}.(0.5)^{1} = 0.0313[/tex]
[tex]P(X = 8) = C_{8,8}.(0.5)^{8}.(0.5)^{0} = 0.0039[/tex]
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2188 + 0.1094 + 0.0313 + 0.0039 = 0.3634[/tex]
0.3634 = 36.34% probability that the Wilson family had at least 5 girls.
At most 5 girls?
This is:
[tex]P(X \leq 5) = 1 - P(X > 5)[/tex]
In which
[tex]P(X > 5) = P(X = 6) + P(X = 7) + P(X = 8) = 0.1094 + 0.0313 + 0.0039 = 0.1446[/tex]
[tex]P(X \leq 5) = 1 - P(X > 5) = 1 - 0.1446 = 0.8554[/tex]
0.8554 = 85.54% probability that the Wilson family had at most 5 girls.
PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.
Answer:
a is 23 1/24 or 553/24 and b is 109 43/87
Step-by-step explanation:
Answer all of the questions below in order to determine the volume of the rectangular prism. 10 3 5 Press the play button: play You must answer all questions above in order to submit. attenpt 1 out of a
I need help with this please. 20 points
please help someone
Answer:
10, 50, 150
Step-by-step explanation:
i just did it lol.
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot? Assume y not-equals 0.
" StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot "is
(X^7/2)(y^-3/5) which is expressed as Option A (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)
This is further explained below.
What is an expression?Generally, An expression, often known as a mathematical expression, is a finite collection of symbols that is well-formed according to principles that are dependent on the context in which the expression is being used.
In conclusion, The expression equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot is
(X^7/2)(y^-3/5) hence (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) Option A.
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CQ
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot?
Assume y not-equals 0. (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) (x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline) (x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline) (x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline).
Answer:
A
Step-by-step explanation:
Activity 4:
roup
Evaluate 2x + 5 if:
1. X=5
2. X=4
3. X=-7
4. x = 0
5. x= 13
please anwer it
Answer:
1. 15
2. 13
3. -9
4. 5
5. 31
just put the values in the given equation.
:)
Two sides of a parallelogram are 8.5 feet and 3.8 feet. The measure of the angle
between these sides is 107º. Find the area of the parallelogram to the nearest 10th of
a square foot.
Answer: 30.9
Step-by-step explanation:
Delta math
The area of parallelogram is 30.9 ft²
Step-by-step explanation:Definition of parallelogram and its areaThe area of a parallelogram is defined as the region or space covered by a parallelogram in a two-dimensional plane. A parallelogram is a special kind of quadrilateral. If a quadrilateral has two pairs of parallel opposite sides, then it is called a parallelogram.
Let the sides of a parallelogram a, b and height h.
Now the area of parallelogram= a*h
given data are
angle between two sides =107°
and sides are a=8.5 feet and b=3.8 feet
The height of the parallelogram [tex]h= bsin\alpha[/tex]
now height [tex]h= 3.8*sin107\\h=3.634 feet[/tex]
Now the area of parallelogram = 8.5*3.634
Now the area of parallelogram=30.9 ft²
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There are 500 students in school. 40% of them are boys and the rest are girls. What is the percentage of girls? And find the number of boys and number of girls in the school
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Which two sports use the dribble skill pattern as part of the game?
Soccer and basketball
Soccer and football
Basketball and rugby
Basketball and tennis
Answer:
SOCCER AND BASKETBALL
mark me brainliest
Step-by-step explanation:
Answer:
soccer and baskball
Step-by-step explanation:
because in basketball you have to dribble the ball with your hands and in soccer you have to dribble the ball with your feet by going back and forth.
given the formula solve for x.
y - y1 = m(x-x1)
Answer:
[tex]y - y' = m(x - x') \\ (x - x') = \frac{(y - y')}{m} \\ x = \frac{(y - y')}{m} + x'[/tex]
Three factories produce light bulbs to supply the market. Factory A produces 40%, 20% of the tools are produced in factory B and 40% in factory C. 5% of the bulbs produced in factory A, 3% of the bulbs produced in factory B and 4% of the bulbs produced in factory C are defective.A bulb is selected at random in the market and found to be defective. What is the probability that this bulb was produced by factory A?
Answer:
0.4762 = 47.62% probability that this bulb was produced by factory A
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: Bulb is defective.
Event B: Produced by factory A.
Probability of a bulb being defective.
5% of 40%(factory A)
3% of 20%(factory B)
4% of 40%(factory C). So
[tex]P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042[/tex]
Defective and from factory A:
5% of 40%. So
[tex]P(A \cap B) = 0.05*0.4 = 0.02[/tex]
What is the probability that this bulb was produced by factory A?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762[/tex]
0.4762 = 47.62% probability that this bulb was produced by factory A
Angela eats ⅜ box of cereal every day. How many boxes does she eat in one week?
Answer:
2 5/8 boxes of cereal in one week
The fraction 5/8
produces a repeating decimal.
___
0.625
True or False
Answer:
False i just did it
Step-by-step explanation:
Which one A B C or D?
Answer:
Step-by-step explanation:
D
Answer:
D
Step-by-step explanation:
Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?
First lets find the total number of cookies
12*4=48
48 cookies
Number of cookies eaten
5*2=10
10 were eaten
Cookies left
48-10=38
38/48=19/24
19/24 of the cookies are left
Answer:
38 are left
Step-by-step explanation:
What is an angle?
A. part of a line that has two endpoints
ОО
B. part of a line that has one endpoint
C. two rays that have the same endpoint
O O
D. two rays that have the same length
Answer:
A .part of a line that has two end points
Astronomers classified the planets into six sizes with five atmosphere types and four average temperature ranges. How many different planet types are there?
Find the measure of a 3.
ts
43
90°
<<
43 = [?]
The correct answer is 90
5. Write in Polar form the following complex numbers
(a) 4+6j
Answer:
https://www.wolframalpha.com/widgets/view.jsp?id=ecc4c3ee7c6b1f12d078f6541a983c2d
use that it will give you a step by step answer.
If 1 litre of Sunflower Oil costs Rs. 160. Find the total cost of 71 litres of
Sunflower Oil?
A) Rs. 1410.00
B) Rs. 1140.00
CRs. 1101
Rs.
Answer:
11360
Step-by-step explanation:
1:160::71:x
160 * 71 = x
x = 11360 rupees
What is the least natural number that is greater than 10 and has a remainder of 5 when divided by 6, has a remainder of 5 when divided by 9, and has a remainder of 5 when divided by 12?
Answer:
41
Step-by-step explanation:
I am essentially going through every multiply of 12 and then adding 5 to it, because we are using the rule that it should have a remainder of 5. It should also be a remainder of 5 if divided by 6 and 9 as well.
12 + 5 = 17
17/6 = 2 R 5
17/9 = 1 R 8
24 + 5 = 29
29/6 = 4 R 5
29/ 9 = 3 R 2
36 + 9 = 41
41/6 = 6 R 5
41/9 = 4 R 5
Hence, the number is 41
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation6:
type to justify why the two larger triangles are congruent
Answer:
HL
Step-by-step explanation:
We are dealing with triangle DAB and CBA.
Angles DAB and CBA are right angles making the triangles right triangles.
Side AB is congruent to side BA. That is a leg of each of the two triangles.
Side DB is congruent to side CA. Tat is a leg of each triangle.
The triangles are congruent by HL.
Determine the value of x
ASAP! Help!
Answer:
Step-by-step explanation:
B
90/20=4.5
(1,4) (2,7) (3,10) (4,13) find the equation in slope-intercept form.
Answer:
y = 3x + 1
Step-by-step explanation:
The way you find slope is change in y over change in x, (as a fraction).
So then your equation is y = 3x because the y value goes up 3 times and the x goes up once (3/1), and then you see what value y has when x = 0 to find the b value, which is one.
Sam and you are going to paint your room together.
Sam takes 10 minutes to paint 25 square feet.
It takes you 5 minutes to paint 25 square feet.
Sam says, "If we paint together, then it will take 15
minutes for us to cover 50 square feet."
Give an explanation to convince Sam that she is
incorrect
Answer:
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
Step-by-step explanation:
The together rate is the sum of the separate rates.
In this question:
Sam's rate is 1/10 for 25 square feet, so 1/20 for 50 square feet.
Your's rate is 1/5 for 25 square feet, so 1/10 for 50 square feet.
Together rate:
[tex]\frac{1}{x} = \frac{1}{20} + \frac{1}{10}[/tex]
[tex]\frac{1}{x} = \frac{1}{20} + \frac{2}{20}[/tex]
[tex]\frac{1}{x} = \frac{3}{20}[/tex]
[tex]3x = 20[/tex]
[tex]x = \frac{20}{3} = 6.67[/tex]
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
Which equation shows a correct trigonometric ratio for the
given figure?
Answer:
d [tex]\displaystyle sin∠A = \frac{8}{17}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
With the above information, you now should know what the answer is.
I am joyous to assist you at any time.
The square of an integer is 5 more than 4 times the integer. Find the integer.
Answer:
The integer can be -1 or 5.
Step-by-step explanation:
Let an integer is x.
ATQ,
The square of an integer is 5 more than 4 times the integer.
[tex]x^2=5+4x[/tex]
or
[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]
It is a quadratic equation. Using middle term splitting,
[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]
So, the integer can be -1 or 5.
If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5
Let the unkown integer be "x"
The square of an integer is expressed as x^2
5 more than 4 times the integer is expressed as [tex]4x +5[/tex]
Equate both expressions to have:
[tex]x^2 = 4x + 5\\[/tex]
Equate to zero and factorize:
x^2 - 4x - 5 = 0
x^2 - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1 and 5
Hence the integers are -1 and 5
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5 + 0.55x = 10 + 0.75x pls help and explain
Step-by-step explanation:
hope it is helpful to you
X = -25
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.55x + 5 = 0.75x + 10
Step 2: Subtract 0.75x from both sides.
0.55x + 5 − 0.75x = 0.75x + 10 − 0.75x
−0.2x + 5 = 10
Step 3: Subtract 5 from both sides.
−0.2x + 5 − 5 = 10 − 5
−0.2x = 5
Step 4: Divide both sides by -0.2.
−0.2x/−0.2 = 5/−0.2
x = −25
The list shows the amount of snow, in inches, that fell each day for 5 days.
8, 3, 12, 1,1
What is the mean daily snowfall?
O A. 1 inch
B. 3 inches
OC, 4 inches
D. 5 inches
Answer:
5 inches
Step-by-step explanation:
add all them and divide by 5.
Find the volumes of the solids whose bases are bounded by the circle x^2 + y^2 = 9, with the indicated cross sections taken perpendicular to the x-axis.
a) Squares
x ^2 + y ^2 = 9 => y = y(x) = ± √(9 - x ^2)
Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by y(x), which is
√(9 - x ^2) - (- √(9 - x ^2)) = 2 √(9 - x ^2)
The area of each square section is the square of this length,
(2 √(9 - x ^2)) = 4 (9 - x ^2) = 36 - 4x ^2
We get the whole solid for -3 ≤ x ≤ 3, so integrating gives a volume of
[tex]\displaystyle\int_{-3}^3(36-4x^2)\,\mathrm dx=\boxed{144}[/tex]
Please please help!!!!
Answer:
7 and 1/4
Step-by-step explanation:
Answer:
The answer is 7 1/4 or 29/4
Step-by-step explanation:
calculate the gross margin if the selling price is $264 and the cost is $214
Answer:
Gross margin= $50
Step-by-step explanation:
Giving the following information:
Selling price= $264
Unitary cost= $214
To calculate the gross margin, we need to deduct from the selling price the unitary cost:
Gross margin= selling price - unitary cost
Gross margin= 264 - 214
Gross margin= $50