Using the binomial distribution, it is found that there is a 0.3438 = 34.38% probability that fewer than 3 of them are boys.
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, the values of the parameters are given as follows:
n = 6, p = 0.5.
The probability that fewer than 3 of them are boys is given by:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.5)^{0}.(0.5)^{6} = 0.0156[/tex]
[tex]P(X = 1) = C_{6,1}.(0.5)^{1}.(0.5)^{5} = 0.0938[/tex]
[tex]P(X = 2) = C_{6,2}.(0.5)^{2}.(0.5)^{4} = 0.2344[/tex]
Then:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0156 + 0.0938 + 0.2344 = 0.3438[/tex]
0.3438 = 34.38% probability that fewer than 3 of them are boys.
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Find the slope rise/run
Answer:
m = -1/3
Step-by-step explanation:
Find two points in order to calculate slope:
(0, 2) (3, 1)Slope (m) =
ΔY /ΔX= -1/ 3= -0.33333333333333
( ΔX = 3 – 0 = 3ΔY = 1 – 2 = -1 )Slope intercept:
y = -0.33333333333333x + 2
Answer:
Slope = - 1/3
Step-by-step explanation:
Choose the point on the right and move upwards. How many times did you move upwards until you were at the same level as the point on the left? You moved once, which means your rise is 1.
Now from the point where you are at now, move right or left depending on where the point is. In this case, it's on the left which means our run will be negative. Now move left until you reach that point on the left. How many times did you move left? You moved three times, which means your run is 3.
Rise/Run = -1/3
Slope = Rise/Run
Slope: - 1/3
hope this helps!! p.s. i really need brainliest :)
What is 2 raised to the power of 3?
Answer:
What is 2 raised to the power of 3?
2 x 2 x 2
= 8
Step-by-step explanation:
Hope this helps.
What is the domain of the function shown in this graph?
Answer:
[tex] - \infty < x < \infty [/tex]
Step-by-step explanation:
On the right hand side of the y axis, the x values will continue to increase. They will go to positive Infinity. On the left hand side of the y axis, the x values will continue to decrease, this means that they will become more negative. They will go to negative Infinity.PLS HELP ME ASAP!!!!!
Answer:
c
Step-by-step explanation:
its just the dilate of the triangle which both add up to 180
A box shaped like a rectangular prism has a length of 8 inches and width of 8 inches. Its volume is 512 cubic inches. What is the height of the box?
Height of a softball in feet h(t)=3+55+-+16+2
Answer:
18ft
Step-by-step explanation:
i can't lay out the formula
Solve the following linear equation:
3(2x + 12) = 2(2x - 10)
Connor wants to divide 360 jellybeans into equal groups. He wants each group to have more than 5 jellybeans, but less than 100. What are three possible groupings Connor can make?
one group made up of 12 can each have 50 = 600
Answer:
One way is that there can each be 99 for each. 99x3= 297 which, isn't too far from 360. Another way is that they can each have 50. 50x3=150. The last way is to have them each have 30. 30x3=90.
Step-by-step explanation: Hope I helped at least a little bit. Give brainliset to best answer. I don't think my answer was that good. Let me know if it helped at all.
Expand and simplify: (-7y - 8) (y - 4)
To expand an expression, use FOIL method.
F - FirstMultiply the first term in each expression inside the parentheses.-7y and y are the first terms in each expression.
(-7y)(y) = -7y²
O - Outside Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)-7y is the first term in the first expression
-4 is the last term of the second expression
(-7y)(-4) = 28y
I - InsideThe next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)-8 is the last term in the first expression
y is the first term in the second expression
(-8)(y) = -8y
L - LastLast step is to multiply the last term in each expression.-8 is the last term of the first expression
-4 is the last term of the second expression
(-8)(-4) = 32
Combine all simplified terms.
-7y² + 28y - 8y + 32-7y + 20y + 32Answer:
-7y + 20y + 32Wxndy~~
Tess has a garden that is 4 1/2 feet wide and 6 3/4 feet long. How many feet of fencing does she need to put around all sides of her garden?
Answer:
11.25
Step-by-step explanation:
6 3/4 + 4 1/2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
is parallel to . and are perpendicular to and .
The ratio of the lengths of and is
:
.
The ratio of the lengths of and is 1: 1
PQ parallel to RS
PR and PS; perpendicular to PQ and RS.
What are the perpendicular lines?
Perpendicular lines are lines that intersect at a 90 degrees angle. Parallel lines are lines that are always the same distance apart.
FOR parallel lines, the perpendicular line joining then is always the same; here the 4 angles formed are all 90°
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which expression is equivalent to 15n – 20
2(8n – 6)
6(2n – 9)
5(3n – 4)
5(4n – 3)
1
2
3
4
5
6
7
8
9 10
What is the value of x in the equation xy = 30, when y = 15?
•4
•8
•80
•200
Answer:
xy=30, when y is 15 by substitute 15 in place of y then dividing both side by 15 we get x=2
WHAT ARE THE ANSWERS TO 1,2,3,4 SOMEONE HELP!!!!!
Answer:
1) Ans; C .
2) Ans; D.
3) Ans; A.
4) Ans; C.
Select the correct answer.
Teams with varying numbers of players are playing a group card game. The time taken by each team to complete one game is given in the table.
What is the relationship between the two variables?
Number of Players on the Team Time Taken to Complete Game (in minutes)
32
2
26
3
20
14
5
8
OA positive linear association
OB. exponential relationship
OC. negative linear association
O D.
no relationship
Answer:
a negative linear association (C)
Re-Written Problem [Formatted]
Teams with varying numbers of players are playing a group card game. the time taken by each team to complete one game is given in the table. What is the relationship between the two variables?
Numbers of players on team are going to be 1, 2 , 3, 4, 5.
time taken to complete game (in minutes) 32, 26, 20, 14, 8
(Select the correct answer)
A. Positive linear association
B. Exponential relationship
C. Negative linear association
D. No relationship
----------------------------------------------------------------------------------
Step-by-step explanation:
Lower x values (numbers of players on team) are correlated with higher y values (time taken to complete game)
[note: I know which values are x and y because of a cause-and-effect relationship. x causes y. number of players causes a change in minutes {it wouldn't make sense for the number of time it took to cause the number of players} ]
So, if we were to graph this relationship, we would see a downward-slope / negative slope of a line, because greater x-values are associated with lower y-values.
So, you would see a negative line, showing a negative linear association.
It’s been a while since I did Math but, in most scenarios, when you solve for an equation with only 1 x variable and you substitute it back in, it should always be true and equal the answer in the original equation(?).
For this equation, the answer was x=7, but when I substitute it back in, I was unable to get the original solution back, which means it is “no solution” after all.
Why is that?
Let's replace every copy of x with 7 and simplify.
[tex]\sqrt{5x+1}+9 = 3\\\\\sqrt{5*7+1}+9 = 3\\\\\sqrt{35+1}+9 = 3\\\\\sqrt{36}+9 = 3\\\\6+9 = 3 \ \text{ .... note the 6 on the left isn't negative}\\\\15 = 3\\\\[/tex]
Which is clearly false. This is probably the set of steps you followed to get "no solution".
Why is there no solution? Well let's subtract 9 from both sides to isolate the square root
[tex]\sqrt{5x+1}+9 = 3\\\\\sqrt{5x+1}+9-9 = 3-9\\\\\sqrt{5x+1} = -6\\\\[/tex]
Recall that the result of a square root operation is never negative. The range of [tex]y = \sqrt{x}[/tex] and [tex]y = \sqrt{5x+1}[/tex] is the set of nonnegative numbers. There is no way we can have the left hand side result in -6
If there was a negative sign out front the square root and we have this instead
[tex]-\sqrt{5x+1}+9 = 3\\\\[/tex]
then the answer would be x = 7
Unfortunately, there isn't such a negative sign, so we stick with "no solutions".
Triangle
ABC
GHI
DEF
S
NU
H"
Dimensions
2, 4, 5
5,5,9
4,4,4
Classify by
Sides
E
Classify by
Angles
Answer:
See below ~
Step-by-step explanation:
Classifying the triangles by sides and angles :
Triangle ABC
⇒ By Sides : Scalene (All sides are unequal)
⇒ By Angles : Right (There is a right angle = 90°)
============================================================
Triangle GHI
⇒ By Sides : Isosceles (2 sides are equal)
⇒ By Angles : Obtuse (One angle is greater than 90°)
============================================================
Triangle DEF
⇒ By Sides : Equilateral (All sides are equal)
⇒ By Angles : Acute (All angles are less than 90°)
add 6370 square to 6370 square
e) 35-12 + 6 x 36 /4
[tex]35 - 12 + \frac{6 - 36}{4 } \\ 35 - 12 + \frac{216}{4} [/tex]
2. Divide the number[tex] 35 - 12 + \frac{216}{4} \\ 35 - 12 + 54[/tex]
3. Add the numbers[tex]35 - 12 + 54 \\ 77[/tex]
Solution : 773 quick questions 28 points
For the first image, I would recommend using Desmos; it is an online graphing calculator. You can find it on online and it is free; I use it all the time for my school work
I would input each function and sees which one matches the image on the test.
As for the second image, I believe the answer is C; x is greater than or equal to -1.
For the third and last image, I believe the answer is A; x is less than -1.
I hope this helps .
the price of a barrel oil currently cost $120. Next month if the price increases by 1/12 of the current cost, then what would be the new cost of a barrel of oil?
Answer:
$130
Step-by-step explanation:
120 x (1 + 1/12) = 120 x 13/12 = 130
A bacteria population has been doubling each day for the past 5 days. It is currently
100000. What was the population 5 days ago?
Find sin A for the triangle below. Give the exact value as an expression and an approximation to the nearest ten-thousandth. Note: The triangle is not drawn to scale.
the exact value of sin A to the nearest ten- thousandth is 0. 6625
Using the pythagorean theorem
a² + b² = c²
The opposite side is unknown, so use the pythagorean theorem to find it
c = hypotenuse = 4
a= opposite site = ?
b= adjacent side = 3
Substitute into the formula
4² = a² + 3²
16 = a² + 9
a² = 16 -9 = 7
Find the square root
a =√7 = 2. 65
To find Sin A, use
Sin A = opposite side ÷ hypotenuse
Sin A = 2. 65 ÷ 4 = 0. 6625
Thus, the value of sin A is 0. 6625
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The table lists the test scores William and Andre received on five math assessments.
William’s Scores Andre’s Scores
89
90
97
74
78
73
81
87
91
82
Which statement best describes the difference of the mean of the two data sets?
statement best describes the difference of the mean of the two data sets 2.8 is about 1.5 times the mean absolute deviation of either set.
What is mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
The mean of William's set.
To find the mean, add all of the data points together and divide by the number of data points:
=89+90+97+74+78/5
=85.6
Now, mean absolute deviation,
=|89-85.6|+|90-85.6|+|97-85.6|+|74-85.6|+|78-85.6|/5
= 3.4+4.4+11.4+11.6+7.6/5
=7.68.
The mean of Andre's set.
To find the mean, add all of the data points together and divide by the number of data points:
=73+81+87+91+82/5
=82.8
Now, mean absolute deviation,
=|73-82.8|+|81-82.8|+|87-82.8|+|91-82.8|+|82-82.8|/5
=9.8+1.8+4.2+8.2+0.8/5
= 4.96.
Hence, the difference between the means of the two sets is
85.6-82.8=2.8.
2.8 is about 1.5 times the mean absolute deviation of either set.
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Answer:
Step-by-step explanation:
nothing im just as lost as everyone else
Solve for D: 70D + 6 - 9D= 35 + 4D - 20.
Answer:
The answer is D = 9/57
Step-by-step explanation:
Get the variable D by itself as stated to solve for D.
I got the other numbers to the other side.
70D + 6 - 9D = 35 + 4D - 20.
(70D - 9D - 4D) = (35 - 20 - 6)
57D = 9
D = 9/57
Kurt and Courtney are playing basketball. Kurt makes 2 baskets in the first game and 4 baskets in each game after that. Courtney makes 4 baskets in the first game and 2 baskets in each game after that. The table below shows the number of baskets each made in the first 4 games. Which graph shows the ordered pairs of the total number of baskets each has made after each game?
Answer:
Kurt 10 Courtney 10 Mark brainiest
Step-by-step explanation:
I did this too
Answer:
they each have 10 if you count mark me brainiest, please
Step-by-step explanation:
What additional information is needed to prove the triangles are congruent by the SAS postulate
Answer: [tex]\angle XWY \cong \angle ZWY[/tex]
Step-by-step explanation:
We know that [tex]\overline{WY} \cong \overline{WY}[/tex] by the reflexive property, so we need the included angles to be congruent (meaning [tex]\angle XWY \cong \angle ZWY[/tex]
What type of function is f(x) = 2x -14?
Exponential
Logarithmic
Polynomial
Rational
The function f(x) = 2x -14 is a polynomial function
How to determine the function type?The equation of the function is given as:
f(x) = 2x -14
A polynomial is represented as:
f(x) =ax^n + bx^(n - 1)....... + c
Where n is at least 1.
The function f(x) = 2x -14 is a polynomial with a degree of 1
Hence, the function f(x) = 2x -14 is a polynomial function
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Solve 8x+5y=2 and y-2=0.Also verify thmm....
Answer:
Solution: Here, the given equations are,
[tex]: \implies8x+5y=2...(i)\:and\:y-2=0...(ii)[/tex]
From equation,(ii); y-2=0
[tex] \therefore \: y = 2.........(iii)[/tex]
Substituting the value of y from equation (iii) to equation (i),we get
[tex]: \implies{8x + 5y = 2}[/tex]
[tex]: \implies{8x + 5(2) = 2}[/tex]
[tex]: \implies{8x = 2 - 10}[/tex]
[tex]: \implies{8x = - 8}[/tex]
[tex]: \implies{x = - 1}[/tex]
[tex] \therefore \: x = - 1[/tex]
Thus, x= -1 and y= 2 is the solution.
Checking at (-1,2)8x+5y=2...(i) y-2=0...(ii)
8(-1)+5(2)=2 2-2=0
2=2(True) 0=0(True)
A scale model of a building is 3 inches tall. If the building is 90 feet tall, find the scale of the model.
The scale model of a building 3 inches tall if the building is 90 feet tall is 2:5
Scaling of measurementScaling is the way of enlarging or reducing the image of an object.
Given scale model of a building is 3 inches, if the building is 90feet tall, to write the scale;
Convert both measures to same units
Since 1 feet. = 12 in
90 feet = 90/12 in = 7.5 in
Take the ratio
3 : 7.5 = 30: 75
Reduce to lowest term
30: 75 = 2 : 5
Hence the scale model of a building 3 inches tall if the building is 90 feet tall is 2:5
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