Using the binomial distribution, it is found that there is a 0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, for the parameters, we consider that:
10% of the 9-year old children in a town have three siblings, hence p = 0.1.Fifteen 9-year old children are selected at random, hence n = 15.The probability that more than 3 of these selected children have three siblings is given by:
[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]
In which:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059[/tex]
[tex]P(X = 1) = C_{15,1}.(0.1)^{1}.(0.9)^{14} = 0.3432[/tex]
[tex]P(X = 2) = C_{15,2}.(0.1)^{2}.(0.9)^{13} = 0.2669[/tex]
[tex]P(X = 3) = C_{15,3}.(0.1)^{3}.(0.9)^{12} = 0.1285[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.2059 + 0.3432 + 0.2669 + 0.1285 = 0.9445[/tex]
P(X > 3) = 1 - 0.9445 = 0.0555
0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.
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Solve the equation 1/2 - 1/6= 4/3x^2
Answer:
x=2
Step-by-step explanation:
1/2‒1/6=4/3x^2
3/6‒1/6=4/3x^2
2/6=4/3x^2
1/3=4/3x^2
1(3x^2)=4(3)
3x^2=12
x^2=4
x=√4
x=√2*2
x=2
What is the gradient of the graph shown?
Answer:
-1
Step-by-step explanation:
Gradient is another word for slope, and slope can be defined as rise/run.
From the point (0,0) to (1,-1), it moved one unit down and one unit to the right. The slope for this line can be represented as -1/1, which is equal to -1.
Therefore, the gradient of the graph shown is -1.
PLEASE HELP! ASAP!
Find the hypotenuse (X) of the right triangle.
ROUND THE ANSWER TO THE NEAREST HUNDRED.
1/2 ÷ 1/3 simplest form?
Answer:
3/2 or 1.5
Step-by-step explanation:
Х
Area of a circle
You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of " or use 3.14 for # and enter your answer as a decimal.
d=14
units?
Answer:
153.86 units^2
Step-by-step explanation:
the area of a circle = pi * r^2
To find r, divide the diameter in half.
14/2 = 7
Now, area = pi * 7^2
= pi * 49
= 153.86
hope this helps!
Answer:
153.94 square units
Step-by-step explanation:
d=14 units
r=d/2
=14/2
=7 units
Area of a circle=math.pi x r^2
=3.14 x (7)^2
H lo help math math math please ASAP
Answer:
5x & -1
Step-by-step explanation:
2x+3=5x
-x = -1x
maybe...
Odds of an event occurring given probability 1/5
Answer:
1/4
Step-by-step explanation:
Probability = successes / all events
Odds = successes / failures
If the probability is 1/5, then there's 1 success for every 4 failures.
So the odds are 1/4.
HELPPP 60 pts!
Kareem rented a truck for one day. There was a base fee of $19.99 , and there was an additional charge of 83 cents for each mile driven. Kareem had to pay $135.36 when he returned the truck. For how many miles did he drive the truck?
139 miles
explanation:
$1 → 100 cents
Here the base fee is fixed.
make equation:
$19.99 + 0.83m ↣ $135.36
0.83m ↣ $135.36 - $19.99
0.83m ↣ $115.37
m ↣ 139
Therefore she has ridden 139 miles.
help me pls
Question 4 Part B (2 points): In part A you factored f(x) = 9m2 + 3m - 2. What are the x intercepts of this function? SELECT ALL THAT APPLY.
A.
m = -1/3
B.
m = 1/3
C.
m = -2/3
D.
m = 2/3
E.
m = 3
F.
m = -3
G.
m = 6
H.
m = -6
x intercepts means the roots of the function .Let's find out
[tex]\\ \rm\Rrightarrow 9m^2+3m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 9m^2-3m+6m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 3m(3m-1)-2(3m-1)=0[/tex]
[tex]\\ \rm\Rrightarrow (3m-2)(3m-1)=0[/tex]
m=2/3m=1/3The x-intercepts are -(2/3) and (1/3).
The correct options are (B) and (C)
What is a Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. The fact that the coefficient of x² is a non-zero term (a 0) is a necessary need for an equation to be a quadratic equation.
As per the given data:
f(x) = 9m² + 3m - 2
To find the x-intercept of this function:
The roots of f(x) will be the x-intercepts of the given function.
f(x) = 9m² + 3m - 2
9m² + 3m - 2 = 0
9m² - 3m + 6m - 2 = 0
3m(3m - 1) + 2(3m - 1) = 0
(3m + 2)(3m - 1) = 0
The roots are m = -(2/3) and m = (1/3)
Hence, the x-intercepts are -(2/3) and (1/3).
The correct options are (B) and (C)
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write the decimals in two forms 5.5
Answer: 55% and 11 over 2
Step-by-step explanation:
55 is the percent form and 11 over 2 is a fraction form
btw your in collage and you van’t figure that out?
20 points!! pls help
The radii of two similar cones are 1.0 and 2.5. What is the ratio of
-their lateral areas?
-their volumes?
Answer:
Assuming the cones are the same height, then
V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3
V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3
V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3
V1/V2 = 1/6.25 = .16
V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)
V2/V1=6.25/1 = 6.25
A bag contains 120 marbles some are red and the rest are black there are 19 red marbles for every black marble how many red marbles are in the bag
Answer:
6 black marbles
Step-by-step explanation:
19+1=20
120/20=6
6×19=114
120-114=6
Select the correct answer. The supply and demand curves for a line of purses are shown. Approximately where is the equilibrium point? у. 500 supply 400 +300 Quantity (purses) -200 100 demand 100 200 300 400 500 600 700 800 900 1,000 Price (dollars) O A. (50,320) B. (200,105) C. (325,185) D. (560,360)
Answer:
c
Step-by-step explanation:
Bryan works as a florist. The number of bouquets he makes is given by the equation , where b is the number of bouquets and h is the number of hours. How many hours would it take him to make 6 bouquets?
Answer:
B -8
Step-by-step explanation:
Answer:
The answer is B. 8
Step-by-step explanation:
Hope this helps :)
In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if
a=2sqrt3 , c=2b ?
Answer: b = √6
Step-by-step explanation: Use the Pythagorean Theorem to solve this.
a² + b² = c²
Plug in your values:
2√3² + b² = 2b²
When a square root is squared, the square root is cancelled out so you will be left with this:
2(3) + b² = 2b²
Subtract b² from both sides so you’re left with:
6 = b²
Now, to get rid of the square, just square root both sides:
√6 = √b²
Since the √6 is not a perfect square, leave it in the radical. Then, you get your answer:
b = √6
Answer:
the answer:b is equivalent to 2
The area of this trapezoid is 30.6 ft
What is the height of the trapezoid?
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ A=30.6\\ a=3.2\\ b = 7 \end{cases}\implies 30.6=\cfrac{h(3.2+7)}{2} \\\\\\ 61.2=h(3.2+7)\implies 61.2=10.2h\implies \cfrac{61.2}{10.2}=h\implies 6=h[/tex]
I spent 3/4 of my money and then I spent 1/5 of what was left. What part of all my money did I spend? (10 points)
Answer: 80% or 4/5
Step-by-step explanation:
Look at this as a percentage:
3/4=75%
1/5=20%
Lets say you have 100$
75% of $100 leaves you with $25
20% of the remaining $25 gives you $20
$100-$20=80% or 4/5
Zucchini weights are approximately normally distributed with mean 08 pound and standard deviation 0.25 pound. Which of the following shaded regions best represents the probability that a
randomly selected zucchini will weigh between 0 55 pound and 13 pounds?
Answer:
The correct option is A
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 0.8 \ pounds[/tex]
The standard deviation is [tex]\sigma = 0.25 \ pounds[/tex]
Generally the the probability that a randomly selected zucchini will weigh between 0 55 pound and 13 pounds is mathematically represented as
[tex]P(0.55 < X < 1.3) = P(\frac{0.55 - 0.8}{ 0.25} < \frac{X - \mu}{\sigma } < \frac{1.3 - 0.8}{0.25})[/tex]
=> [tex]P(0.55 < X < 1.3) = P( -1 < Z < 2 )[/tex]
So looking the option of normal curves given in the question we see that it is option A that matches our interval
Helllllllllllllllllllllllllllllppppppp
Answer:
D
Step-by-step explanation:
Rotates 90 Degrees counter-clockwise then translates 3 left and 3 down.
Answer:
D
Step-by-step explanation:
Rotates 90 degrees in a counter clockwise motion, then it translates three to the left and then three down.
Denise learned to sing a total of 10 pieces over the course of 10 weeks of voice lessons. After a short break, she learned 27 new pieces over the span of 27 weeks. How many vocal pieces does Denise learn per week?
1 a week
Step-by-step explanation:
in 37 weeks she learned 37(10 in 10 weeks, snd 27 in 27 weeks) so 37:37=1
Hector purchased a brand new 2019 BMW 760.
The cost of the vehicle was $97,899.99. There is a
25% discount for cash customers, Hector paid
cash. The sales tax rate for the vehicle was 3.75%.
What was the total price of the purchases
(SHOW ALL WORK)
(PLEASE HELP)
Answer:
Step 1: Calculate percentage discount
=> $97,899.99 × 25/100
=> 97,899.99/1 × 25/100
{multiply the numerator by the numerator and the denominators by the denominators}
=> 2,447,499.75/100
divide 24,474.9975 by 100
=> 24,474.9975
=> 24,474.9975
{Substract 24,474.9975 from 97,899.99.}
=> 97,899.99 - .24,474.9975
=> 73,424.9925
Step 2: Calculate sales tax rate
Sales tax rate = price × rate/100
=> 73,424.9925 × 3.75/100
=> 275,343.7/100
=> 2,753.437
Add to 73,424.9925
=> 73,424.9925 + 2,753.437
=> 76,178.4295
=> 76,178.4 { Rounded to 1 dp)
Therefore, the total price of the purchases is 76,178.4295
a cyclist travels at 10 km/h for 3.5 hours. Calculate the distance traveled by the cyclist
d=vt
d=10 km/h x 3.5 h
d = 35 km
Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her pedometer as she walks laps around the mall one day.
A table showing Debi's Walk around the Mall with two columns and six rows. The first column, Laps, has the entries, 0, 1, 2, 3, 4. The second column, Steps, has the entries, 1,875; 4,300; 6,725; 9,150; 11,575.
Which statement is true about the graph of the line representing Debi’s data?
Debi walks 1,875 steps per lap around the mall.
One lap around the mall is equal to 2,425 steps.
One lap around the mall is equal to 4,300 steps.
Debi walks 6,175 steps per lap around the mall.
Answer:
second option. One lap around the mall is equal to about 2,425 steps
TheThe statement that is true about the graph of the line representing Debi’s data is: One lap around the mall is equal to 2,425 steps.
Correct statement about the graph of the lineGiven:
With the 0 lap she has 1,875 steps
With 1 lap she has 4,300 steps
Hence:
One laps around the mall= 4,300 steps-1,875 steps
One laps around the mall=2,425 steps
Therefore the correct option is B.
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The graph of y= ax^2 + c contains the point (2,14). Which point lies on the graph of y=a(x-2)^2 + c?
Answer:
(4, 14)
Step-by-step explanation:
We are given;
Graph of: y = ax² + c
That it contains point (2, 14)
Now,we want to find which point lies on the graph: y = a(x - 2)² + c.
Now, symbol "a" means the value of horizontal shift because the constants are grouped with x.
If the value of "a" is greater than 0,then it means that the graph shifted to the left by "a" units while if the value of "a" is less than 0,it means the graph shifted to the right by "a" units.
Now, from the 2 graph equations given, and from the principle of graph shifts, we can say that the first graph has shift by 2 units to the right because "a" equals -2.
What this implies is that every point on the graph y = ax² + c shifts by 2 units right.
Thus, the points that lie on the graph y = a(x - 2)² + c are: (x + 2, y)
Thus, points are: (2 + 2, 14) = (4, 14)
Navid paid $50 for 10 cardio dance workout classes. He's trying
to set up an equation to help him find the cost of each class.
What should Navid put in the blank of the following equation?
c= $50 = ?
I need help
Answer: The answer is 5$
Step-by-step explanation:
50/10=5
Answer:
yes because 50 is 10 now and also yes
Supposed i recieved $10 dollars rom my grandmother for my birthday. And I spent $4 on snacks. using addition how would I write an equation to represent this situation?
. Suppose you received $ from your grandmother for your birthday. You spent $ on snacks. Using
addition, how would you write an equation to represent this situation?
+ (−) =
b. How would you model your equation on a number line to show your answer?
Real-world situations can be modeled with equations and represented on a real number line. In this exercise, positive
ten represents the $10 given as a birthday gift because it is a gain. Negative four represents the $4 spent on snacks
because it is a loss. Gaining $10 and then taking away $4 leaves you with $6.
which of these expressions or phrases can be used to represent the model brainly choose all the correct answers. PLEASE HELP ASAP!\
Answer: 3 divided by 1/4 is the first and the second is number fourths un 3 :)
Step-by-step explanation:
3÷1/4 is the expression which can be used to represent the model
What is Fraction?A fraction represents a part of a whole.
An expression is combination of variables, numbers and operators.
In the given model there are twelve blocks.
The 12 blocks are divided to three parts.
Each part has 4 blocks.
This can be represented by the expression 3÷1/4
Three divided by one by four is the required expression.
Hence, 3÷1/4 is the expression which can be used to represent the model
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Four friends
shared a pizza. The table
below shows how much pizza each
friend ate. Which two friends ate the
same amount of pizza? Amount of pizza
Felix 1/12
Lucy 1/4
Ned 1/3
Penny 4/12
Answer:
Ned and Penny
Step-by-step explanation:
Ned: [tex]\frac{1}{3}[/tex]
Penny: [tex]\frac{4}{12}[/tex] --> simplying it makes it [tex]\frac{1}{3}[/tex]
Hence, Ned and Penny ate the same amount of pizza.
The friends who ate the same amount of pizza are Ned and Penny
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Four friends shared a pizza
Now , Felix 1/12
Lucy 1/4
Ned 1/3
Penny 4/12
So , the pizza shared by Penny = 4/12
On simplifying the equation , we get
P = 1/3
Hence , Penny and Ned shares the same amount of Pizza = 1/3
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The dimensions of this figure are changed so that the new surface area is exactly 12 what it was originally.
What is the new surface area?
Enter your answer as a decimal in the box.
yd²
Complex solid composed of rectangular prisms in an L shape. The height of the taller side of the L shape is labeled 8.4 yd. The height of the shorter side of the L shape is labeled 3.8 yd. The width of the of the shorter section of the L shape is labeled 4.3 yd. The length of the taller section of the L shape is labeled 10.1 yd and the width is labeled 2 yd.
The surface of the figure is the amount of space on the figure
The new surface area would be half of the original figure
How to determine the surface area?The question is incomplete, so I will give a general explanation.
Assume the surface area of the original figure is A.
Then the area of the new figure would be:
A2 = A * k
Where k is the scale of dilation.
From the question, we have:
k = 1/2
So, the equation becomes
A2 = A * 1/2
This gives
A2 = 1/2A
The above means that the new surface area would be half of the original figure
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Answer:
The answer is 181.61
Step-by-step explanation:
I took the k-12 quiz - Hope this helps!
5. Which graph represents a function?
Answer:
bottom left, the one that looks like a v
Step-by-step explanation:
You can test if something is a function by looking to see if there is a place where an x has 2 ys. if there are 2 ys for an x it is not a function.
Answer:
bottom left
Step-by-step explanation:
Bottom right is not a function because you would get an infinite number of results. It does not exactly map one output of this function.
The top two graphs are incorrect because they have more than 1 output. You can do the Vertical Line test and see that the top two graphs do have more that one output.
In order for it to be a function it has to have one output.