Using the binomial probability relation, the probability of the following events are :
P(x = 5) = 0.2076P(x > 5) = 0.6785P(x ≤ 5) = 0.3215Using the relation :
P(x = x) = nCx * p^x * q^(n-x)
Probability of success, p = 0.75q = 1 - p = 1 - 0.75 = 0.25Number of trials, n = 8Probability of exactly 5 :
P(x = 5) = 8C5 × 0.75^5 × 0.25^3
P(x = 5) = 0.2076
2.) Probability of selecting more than 5 :
P(x > 5) = p(6) + p(7) + p(8)
Using a binomial probability calculator :
P(x > 5) = 0.6785
3.)
Probability at most 5 :
P(x ≤ 5) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)
Using a binomial probability calculator :
P(x ≤ 5) = 0.3215
Therefore, the probability of selecting at most 5 is 0.3215
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What kind of angles are 4 and 5
Four less than the product of three and n
Answer:
Statement should be : "4 less than the product of 3 and some number x is y" => 3x-4 = y
Step-by-step explanation:
Let "Four less than the product of three and n"
From the given statement we get an algebraic expression 3x - 4 = y.
What is an algebraic expression?An algebraic expression in mathematics exists as an expression that stands created up of variables and constants, along with algebraic operations like addition, subtraction, etc. x exists a variable, whose value exists unspecified to us and can take any value.
An algebraic expression exists as an indication acquired by a finite number of the fundamental operations of algebra upon characters symbolizing numbers.
Let "Four less than the product of three and n". From the given statement we get an algebraic expression 3x - 4 = y.
To learn more about algebraic expression
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Use the function f(x) = –2|5-x| – 13 to evaluate f (6).
Answer:
-15
Step-by-step explanation:
-2 |5 - x| - 13
-2 |5 - 6| - 13
-2|-1| - 13
-2 - 13
-15
Hopefully this helps!
Brainliest please?
y>-4 help PLZ......!?!?!?!?!?
Answer:
0
Step-by-step explanation:
What is common fraction?
a fraction (such as ¹/₂ or ³/₄) in which the numerator and denominator are both integers and are separated by a horizontal or slanted line — compare decimal fraction.
Thank You !!!Melinda’s heart beats 15 times during 1/6 of a minute at that rate how many times does a heartbeat each minute
PLEASE HELP IF YOU KNOW THE ANSWER!!!
i need the domain and range
Answer:
domain: -1<x range:y<-1
Step-by-step explanation:
seeing as how the x value seems to start at -1, but keeps going past that to the right, we can get the equation x>-1. seeing as how the y value seems to start at -1, but keeps going down, we can get the equation y<-1.
pleas help me due soon i will give brianlyest
Answer:
option D is correct
Step-by-step explanation:
option D is correct
as, both 2 and 3 are positive integers and also the 2 integer is going towards negative sign but it lies in positive area so,
-2 is in bracket when bracket will be open it will be in positive sign,
so,
2 + 3 - (-2) is correct ans.
hope this answer helps you dear take care and may u have a great day ahead!.
How do I solve this equation... if a=5 b=7 and c=12 What is: a(b + c) x 2?
Answer:
190 is the answer of the equation.
Step-by-step explanation:
a(b + c) × 2
Now putting the values of a,b and c.
5(7+12)×2
= 5(19)×2
= 95×2
= 190
11.What is the slope of the line that passes through (-20, -4) and (-12, -10) ?
A. -3/4
B. 4/3
C. 3/4
D. -4/3
Plug the points into y2-y1/x2-x1
(-10) - (-4)/(-12) - (-20)
you will get A. -3/4
hope this helps !! :)
Which number equals 3/4 to the power of negative 2
Answer:
16/9
Step-by-step explanation:
16/9=1.77777777778
(3/4)^-2=1.77777777778
help plz ill give brainliest
Answer:
30 gallons
Step-by-step explanation:
find the 6 on the x axis, and it meets to the 30 on the y axis, therefore the answer is 30 gallons (sorry if this doesn't make sense or if it's incorrect)
28 + 44 = 4(7 + ___)
Answer:
72
Step-by-step explanation:
Answer:
28 + 44 = 4(7 + 11)
Step-by-step explanation:
Marie has 2 spools of ribbon. One spool holds 3 yards of ribbon, and the other spool holds 2 yards of ribbons. She uses all the ribbon to cut bookmarks that are each 1/4 yard long. How many bookmarks does Marie make?
Answer: 20
Step-by-step explanation:
3+2 = 5 yards
5 divided by 1/4 = 5 x 4 = 20 bookmarks
Plsssssssssss help me!!! I’m not good at algebra!!
What is the value of x?
The screenshot is down below.
Answer:
x=50
Step-by-step explanation:
This is a vertical angle, so the angle on top and the bottom are equal
[2(x+10)]=3x-30
2(x+10)=3x-30
2x+20=3x-30
50=x
Write the sentence as an inequality -7/8 is at most the difference of twice a number m and 5/4
Answer:
2m - 5/4 ≤ -7/8
The given inequality can be written as 2m - 5/4 ≤ -7/8.
What is an inequality ?Inequality is of four types they are
a<b ⇒ a is less than b.
a≤b ⇒ a is less than or equal to b.
a>b ⇒ a is greater than b.
a≥b ⇒ a is greater than or equal to b.
According to the given question
An inequality -7/8 is at most the difference of twice a number m and 5/4 which is 2m - 5/4 ≤ -7/8.
Difference of twice a number 'm' and 5/4 is 2m - 5/4 and this is at most -7/8 means less than or equal to.
∴ The given statement can be written as 2m - 5/4 ≤ -7/8
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A graph appears below showing the number of adults and children who prefer each type of soda. There were 130 adults and kids surveyed. Discuss some ways in which the graph below could be improved.
The ways the graph could be improved include
Labelling the x and y axesStarting the entries on y-axis from the origin (i.e. from 0How to improve the graphIn statistics, graphs are used to represent data sets in a visual way.
Some features of a good graph include
Labelling all axesStarting numerical values from the originUniform space between barsThe lengths of bars represent frequencies or relative frequenciesFrom the given graph (see attachment), we have the following highlights:
The axes are not labelledThe entries on the y-axis do not start from 0The graph can be improved by labelling the axes and starting the entries on y-axis from the origin (i.e. from 0
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Find three consecutive positive integers such that the product of the second integer and the third integer is 20.
Write the equation of the line in slope intercept form.
(-8,10); m=1/2
Answer:
y = (1/2)x + 14
Step-by-step explanation:
y = (1/2)x + 14
Marlena bought a car in 2010. As years passed, the value of the car decrease linearly, as shown in the table. What was the purchase price of the car in 2010, and how much does it decrease each year?
Answer:
B
Step-by-step explanation:
Difference between value as the years pass, ($22,050-$19,600 = $2,450)
To find purchase price: $22, 050 + $2,450 = $24,500
number 1- Name the relationship between <1 and <2. *
Answer:
Step-by-step explanation:
They are both acute. They are both on the same side of the transversal. They are (incidentally) equal. They are corresponding angles.
Question 11 (5 points)
(01.05 MC)
3
Which fraction is equivalent to 3/-5
Answer:
- 3 / 5
Step-by-step explanation:
3 / - 5
= - 1 x 3 / 5
= - 3 / 5
4 773 nearest hundred
Answer:
4800
Step-by-step explanation:
4773
The 3 is the ones digit.
The 7 to the left of the 3 is the 10s digit.
The 7 (in bold) to the left of the other 7 is the hundreds digit.
1. Make all digits to the right of the hundreds digit 0.
4700
2. We need to find out if we end up with 4700 or 4800.
Since the digit just to the right of the hundreds digit is greater than 4 (it is the tens digit which is a 7), then the hundreds digit 7 must go up 1 to 8.
Answer: 4800
What can divided 36 and 99
Step-by-step explanation:
GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.
I was going to just say the answer was 3 but the other person put multiple answers.So they have the correct answer.Good job!
How to find the maximum or minimum value of a quadratic function?
The maximum or minimum of a quadratic function is found evaluating the polynomial at [tex]x = -\frac{b}{2\cdot a}[/tex].
A quadratic function is an algebraic function of the form:
[tex]y = a\cdot x^{2}+b\cdot x + c[/tex], [tex]\forall \,x, y, a, b, c\,\in \mathbb{R}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable. [tex]a,\,b,\,c[/tex] - Coefficients.The maximum/minimum of a quadratic function is represented graphically by the vertex, which is the only point that has no a "twin" point by any means of symmetry. We can get the x-coordinate of the vertex by means of the quadratic formula:
[tex]a\cdot x^{2} + b\cdot x + (c- y) = 0[/tex] (2)
[tex]x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot (c-y)}}{2\cdot a}[/tex], where [tex]b^{2}-4\cdot a\cdot (c-y) = 0[/tex].
Hence, the x-coordinate of the vertex is:
[tex]x = -\frac{b}{2\cdot a}[/tex] (3)
And the y-coordinate of the vertex is determined by evaluating (1) at (3):
[tex]y = f\left(-\frac{b}{2\cdot a} \right)[/tex] (4)
The maximum or minimum of a quadratic function is found evaluating the polynomial at [tex]x = -\frac{b}{2\cdot a}[/tex].
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This is my last question someone help and plz make sure it’s right will mark brainiest plz :)
Answer:
fort nite
Step-by-step explanation:
i dont know what brainiest means
im struggling with this lol
Answer:
its not funny I get
even I am confused
Find the value of k given that both points lie on a line passing through the origin.
(−12,−2) and (k, 8)
PLEASE HELP
Answer:
= -112adkn
Step-by-step explanation:
hope it can help brainless me please thanks
AYUDDAAA, ES EXAMEEEEN
Answer:
it's corect
Step-by-step explanation:
just change the subject it is not mathematics
Answer:
correct
Step-by-step explanation:
Given the endpoint A(0, 13) and the midpoint M(6,5)
Find the other endpoint of AB. B(
Answer: (3, 9)
Step-by-step explanation:
X: Midpoint between 0 and 6
X: Midpoint between 1 and 5
X: Midpoint between 2 and 4
X: Midpoint is 3.
Y: Midpoint between 13 and 5.
Y: Midpoint between 12 and 6.
Y: Midpoint between 11 and 7.
Y: Midpoint between 10 and 8.
Y: Midpoint is 9.