Find the probability of exactly 3 successes p = 0.6, n = 5
Answer:
0.3456 = 34.56%
Step-by-step explanation:
Binomial distribution
[tex]\displaystyle P(X=x)=\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}[/tex]
where:
n = number of trialsp = probability of successGiven:
p = 0.6n = 5x = 3Substitute the given values into the formula:
[tex]\begin{aligned}\implies \displaystyle P(X=3) & =\binom{5}{3} \cdot 0.6^3 \cdot (1-0.6)^{5-3}\\ & = \dfrac{5!}{3!(5-3)!}\cdot 0.6^3 \cdot 0.4^2\\ & = 10 \cdot 0.216 \cdot 0.16\\ & =0.3456\end{aligned}[/tex]
Therefore, the probability of exactly 3 successes is 0.3456 = 34.56%
Can you please help me. The question is in the attachment. THIS IS WORTH 15 POINTS
Answer:
Length = 14 and width = 7 cm,
Step-by-step explanation:
Let the width be x cm then the length is 2x cm
2x + 2(2x) = 42
6x = 42
x = 7
Length = 14 and width = 7.
Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the
triangles are not congruent type NC. (Use all capitals in your answer)
Answer:
Step-by-step explanation:
ixl a game company sold 292 games 290 of the games were board games and the rest were card games what is the ratio of the number of card games to the total number of games
Answer:
2:292
Step-by-step explanation:
They sold 292 in total
290 were board games and the rest were cards
so,
292-290=2
2 card games
Answer: 2:292
Step-by-step explanation:
They sold 292 in total
290 were board games and the rest were cards
so,
292-290=2
2 card games
Answer the question below. Type your response in the space provided. Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?
The distance from B to B is 5.
This is because the distance between the original and new coordinates would remain the same. This is because it is done by translation and not because of the rotation. The distance between the two will still remain as 5.
Please help me.. First person who answers, gets brainliest :)
Answer:
i believe the answer is 41312432
please help me i really don't understand it
Answer:
32 possible outcomes
Step-by-step explanation:
4 × 2 × 4 = 32
The stem-and-leaf plot shows test scores for students in Math 7. How many students earned more than a 65 on their test? Key 4|5 = 45 A) 58 students B) 28 students C) 60 students D) 65 students
the answer is b
Step-by-step explanation:
hope this helps if not let me know have a blessed day
welve books cost $59.88 and
books cost $104.79. Is there is a constant of proportionality between these purchases?
plain.
There is a constant of proportionality between the two purchases and each book costs $4.99.
Step-by-step explanation:A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.
In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.
In this case, the constant of proportionality [tex]k[/tex] will relate the number of books bought [tex]N[/tex] and their cost [tex]C[/tex] in the following way:
[tex]C=k*N[/tex]
So k is the price per book.
For the 12 books:
[tex]k=\frac{59.88}{12}[/tex]
[tex]k=4.99[/tex]
And for the 21 books:
[tex]k=\frac{104.79}{21}[/tex]
[tex]k=4.99[/tex]
The constant [tex]k[/tex] for the two purchases is the same, thus there is a constant of proportionality between the two purchases and each book costs $4.99.
Find the value of x and y
Answer:
x = 26, y = 120
Step-by-step explanation:
First we will find x.
We know that 3x-18 = 2x+8 because they are corresponding angles
Now we can solve for x
3x-18 = 2x+8 | subtract 2x from both sides
x-18 = 8 | add 18 to both sides
x = 26
Now we can find y. We know that 3x-18 and y are supplementary (add up to 180) since they are a linear pair (adjacent angles that form a line)
This means we can solve for y using the following :
3x-18 + y = 180 | substitute x for 26
3(26)-18 + y = 180 | simplify
60 + y = 180 | subtract 60 from both sides to isolate y
y = 120
- Kan Academy Advance
Select the correct answer. what are the solutions of this quadratic equation? 6x2 6 = 12x 18 a. b. c. d.
Answer:
A
Step-by-step explanation:
I don't think you asked this question right but I believe A is the answer to your question "What are the solutions of this quadratic equation? 6x2 + 6 = 12x + 18" (fixed)
if these are the options, then I think its A
Which shapes contain at least one right angle?
Select each correct answer.
Answer:
in the picture
Step-by-step explanation:
the sign you see at the corners with arrows (see drawing) indicate a right angle
Given the angle 25°, determine its suppementary angle
Answer: 155°
Step-by-step explanation:
The supplement of 25° is the angle that when added to 25° forms a straight angle (180°).
180°−25°
Subtract 25 from 180.
155°
Hope this helps!
Pranay's school is selling tickets to the annual talent show. On the first day of ticket sales the
school sold 9 senior citizen tickets and 10 student tickets for a total of $113. The school took in
$64 on the second day by selling 2 senior citizen tickets and 10 student tickets. What is the price
each of one senior citizen ticket and one student ticket?
Answer:
Price of senior citizen ticket = $7
Price of student ticket = $5
Step-by-step explanation:
Let:
senior citizen ticket price = astudent ticket price = bEquations formed :
9a + 10b = 1132a + 10b = 64Subtract : Equation 1 - Equation 2
9a + 10b - 2a - 10b = 113 - 647a = 49a = 7Finding b
2(7) + 10b = 6410b = 50b = 5Solution
Price of senior citizen ticket = $7Price of student ticket = $5Answer:
Senior tickets would be 7 dollars
and
Student ticket prices would be 5 dollars
Step-by-step explanation:
20points Need help asap
Answer:
Equation
5xP
graph:
for every 1 person Lets say its X for people
and then y for price
1,5
2,10
3,15
etc.
Simplify: 10 - (16 ÷ 8)3 • 9 + 9
Answer:
-35
Step-by-step explanation:
Answer:
54(16÷8)-10?????
Step-by-step explanation:
I'm bad at this
Lamar is cutting a piece of 15 foot rope into 1 and 1/3 foot long
sections. How many sections of rope will he end up with?
A: 11
B: 11 and 1/4
C: 8 and 1/3
D: 4 and 1/4
Answer:
B:11 and 1/4
Step-by-step explanation:
to divide 15 by 1 1/3 i used the Keep, Change, Flip method aka-KCF
i kept 15 over 1 changed the division sign into a multiplication sign and flipped 1 1/3 which is 4/3 to its reciprocal 3/4.
which got me the answer 45/4 i simplified it into 11 and 1/4
i don't know what it means
Answer:
C. 20
8 cycles for 1 inch, times 2 is 16, + 4 is 20
first correct answer gets brainleist pls help asap
Answer:
21 m^2
Step-by-step explanation:
0.5 x 14 x 3
hope this helps
have a good day
Answer:
The answer is 21 m^2
cmiller did it first so giver her brainlliest if you were going to do it to me.
Rewrite 3* = 27 as a logarithmic equation.
Answer:
[tex]\log_3(27)=x[/tex]
Step-by-step explanation:
[tex]a^x=b[/tex] is equivalent to [tex]\log_a(b)=x[/tex] in logarithmic form, so [tex]3^x=27[/tex] is equivalent to [tex]\log_3(27)=x[/tex]
Answer:
Step-by-step explanation:
7.
Lines AE and BD are tangent to circles O and P at A, E, B, and D, as shown in the diagram below. If
AC: CE = 5:3, and BD = 56, determine and state the length of CD.
145
U.
Р
56
3
E
B
2
Answer: 21
Step-by-step explanation:
The measure of the tangent to the circle CD = 21
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the 2 tangents to the circle be AE and BD respectively
The measure of the line segment BD = 56
Now , the ratio of the line AE is
AC : AE = 5 : 3
The measure of AE = measure of CD
Let the value of AC = 5x
Let the value of AE = 3x
Now , the measure of AE = measure of BD
Substituting the values in the equation , we get
5x + 3x = 56 be equation (1)
On simplifying the equation , we get
8x = 56
Divide by 8 on both sides of the equation , we get
x = 7
Now , the measure of CD = 3x
Substituting the value of x in the equation , we get
CD = 3 ( 7 ) = 21
Therefore , the measure of CD = 21
Hence , the measure of CD = 21
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PLEASE HELP NEED THE ANSWER IMMEDIATELY!
[tex] \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Volume of a rectangular prism is ~
[tex] \sf{Volume_{cuboid}= Length × Width × Height} [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40[/tex]
So, the correct choice is B
The following cone has a height of 4 inches and a volume of 127 cubic inches. What is the radius of the cone ?
Answer:
5.51
Step-by-step explanation:
i used a calculator.
Which statement is true about the end behavior of the
graphed function?
• As the x-values go to positive infinity, the function's
values go to negative infinity.
• As the x-values go to zero, the function's values go
to positive infinity.
• As the x-values go to negative infinity, the function's
values are equal to zero to
O As the x-values go to positive infinity, the function's
values go to positive infinity.
Answer:
D. As the x-values go to positive infinity, the function's values go to positive infinity.
Step-by-step explanation:
the answer on edge 2022
As the x-values go to positive infinity, the function's values go to positive infinity. The correct option is D.
What is a function?A function is a mathematical formula that describes how the dependent variable and independent variable are related. The dependent variable's value varies in the function together with the independent variable's value.
The correct option is D that as the x-values go to positive infinity, the function's values go to positive infinity.
In mathematics, a function is a rule that gives each input value in a set a distinct output value. A function is, more precisely, a collection of ordered pairs (x, y), where each x-value is matched with precisely one y-value.
The variable x normally represents the input values, also known as the independent variable, while the variable y typically represents the output values, also known as the dependent variable. Typically, a symbol like f(x), where f is the function's name and x is the input variable, is used to represent a function.
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You cut the 2 inch by 4 inch piece of wood along the indicated diagonal. Find the perimeter and area of the cross section formed by the cut
The perimeter of the cross section formed is 44.22 in.
The area of the cross section formed is 72.44 in.²
Calculating the area and perimeter of a rectangle
From the question, we are to determine the perimeter and area of the cross section formed by the cut
As indicated in the diagram,
If the wood is cut along the indicated diagonal, the cross section formed is a rectangle whose length will be the length of the diagonal and its width will be 4 in.
Now, we will calculate the length of the diagonal,
Let the diagonal be d
Then, we can write that
d² = 2² + 18²
d² = 4 + 324
d² = 328
d = 18.11 in.
Thus,
The length of the rectangular cross-section is 18.11 in.
Now, using the formula for calculating the perimeter of a rectangle
P = 2(l +w)
Where P is the perimeter
l is the length
and w is the width
For the rectangular cross-section
l = 18.11 in.
w = 4 in.
Putting the parameters into the formula,
P = 2(18.11 + 4)
P = 2(22.11)
P = 44.22 in.
∴ The perimeter of the cross section formed is 44.22 in.
For the area of the cross section
Using the formula for calculating the area of a rectangle,
A = l × w
∴ Area of the cross section formed = 18.11 × 4
Area of the cross section formed = 72.44 in.²
Hence, the area of the cross section formed is 72.44 in.²
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Can a regular polygon have an interior angles of 160
Answer:
Step-by-step explanation: interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.
yes it can have 160 degree as interior angel
The following data sets can be modeled linearly.
Answer:
last and third
Step-by-step explanation:
loni cut a loaf of banana bread into equal pieces.Over the week, her brother eats 2/6 of the loaf, and Loni eats 3/6 of the loaf
what is the absolute vale of |35|
Answer:
Absolute value of any number is positive. so the absolute value of (-35) is 35.
Step-by-step explanation:
What is the monthly payment on a 48-month loan for $28,000 with 2% interest?
Amortization formula:
$585
$608
$618
$625