The probability that four or fewer of the people who called will sign up for a class = 0.9805
For given question,
Eric estimates that one out of every five people who call for information about a class will sign up for the class.
Last week he receive nine calls.
We need to find the probability that four or fewer of the people who called will sign up for a class.
Total number of calls = 9
⇒ n = 9
Since one out of every five people who call for information about a class will sign up for the class.
the probability of success (p) = 1/5
= 0.2
and the probability of failure (q) = 1 - p
= 1 - 0.2
= 0.8
To find the probability that four or fewer of the people who called will sign up for a class.
So, x would take values 0, 1, 2, 3, 4
Using Binomial principal,
For x = 0,
[tex]P(x=0)= ~^9C_0(0.2)^0(0.8)^{9-0}\\\\P(x=0)=0.13422[/tex]
For x = 1,
[tex]P(x=1)= ~^9C_1(0.2)^1(0.8)^{9-1}\\\\P(x=1)=0.30199[/tex]
For x = 2,
[tex]P(x=2)= ~^9C_2(0.2)^2(0.8)^{9-2}\\\\P(x=2)=0.30199[/tex]
For x = 3,
[tex]P(x=3)= ~^9C_3(0.2)^3(0.8)^{9-3}\\\\P(x=3)=0.17616[/tex]
For x = 4,
[tex]P(x=4)= ~^9C_4(0.2)^4(0.8)^{9-4}\\\\P(x=4)=0.06606[/tex]
So, the required probability would be,
P = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)
P = 0.1342 + 0.3020 + 0.3020 + 0.1762 + 0.0661
P = 0.9805
Therefore, the probability that four or fewer of the people who called will sign up for a class = 0.9805
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m/PQS = (3x-3)* and m/RQS = (x+19)". Find the value of x.
Answer:
M/paws= (3x-3) and m/rqs
=(x+19).
the value of x is
Step-by-step explanation:
10 more than 10 times a number is -10. Group of answer choices
A. -2
B. 2
C. 0
D. 10
Levi brought a bag containing 50 small candies. He starts eating the candies at a rate of 4 candies per minute. Answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag.
Whoever answers correctly with an detailed explanation will get Brainliest!!!
The independent variable x ,represents minutes and dependent variable is the number of candies eating by Levi because the eating of candies depends on the minutes.
A function relating these variable is Z(x)=4x
So Z(7)=28 meaning In 7 minutes Levi ate 28 candies and number of candies left in the bag is 22.
As given,
Independent variable=x
Dependent variable=Z(x)
Function Z(x)=4x
So, Z(7)=4×7
=28
Candies left in bag =50 -28
=22
Therefore, function relating independent variable x with Z(x)=4x and Z(7)=28 represents number of candies ate by Levi in 7 minutes ,number of candies left in the bag is 22.
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solve the following if you're good at math
Answer:
1. 5h
2. 4h
3. h
4. ht
5. hx (x + 1)
Step-by-step explanation:
What is the probability of rolling either a 5 or a 6 using a normal six-sided die?
1/3 is the probability of rolling either a 5 or a 6 using a normal six-sided die.
Define probability?Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event.
Given:
Six-sided dice rolled once
Let n be the number of outcomes
let x be the number of favorable outcomes
We know that,
[tex]Probability=\frac{x}{n}[/tex]
When the six-sided dice roll, The possible outcomes are,
[tex]\{1,\;2,\;3,\;4,\;5,\;6\}[/tex]
Therefore,
[tex]Number\;of\;outcomes,\;n=6[/tex]
[tex]Probability\;rolling\;5\;is\;\frac{1}{6}[/tex]
[tex]Probability\;rolling\;6\;is\;\frac{1}{6}[/tex]
Therefore, Probability of rolling either 5 or 6 is,
[tex]P(5\;or\;6)=\frac{1}{6} +\frac{1}{6}[/tex]
[tex]P(5\;or\;6)=\frac{2}{6}[/tex]
[tex]P(5\;or\;6)=\frac{1}{3}[/tex]
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12 ft 8 ft 6 ft What is the volume of the prism?
I need help with this math question. The question and answers are in the picture.
Answer: f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option
Step-by-step explanation:
Both are quadratic equations: -x^2 or x^2
Blue graph: x^2 since it's facing up
f(x)=(x-b)^2
Vertex: When x=-1, y=0 ==> 0=(-1+b)^2
0=-1+b
b=1
f(x)=(x+1)^2
f(x)=(x+1)(x+1)
f(x)=x^2+x+x+1
f(x)=x^2+2x+1
Red graph: -x^2 since it's facing down
g(x)=-x^2+b
Vertex: When x=0, y=1 ==> 1=(0)^2+b
1=0+b
b=1
g(x)=-x^2+1
f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option
Hello can somone answer this quickly please ill give brainly
Answer:
B
Step-by-step explanation:
23/1000
->What do you do in division you move the decimal to the left
by looking at the zeros in the denominator.
-> 3 zero so move the decimal to the right 3 times
so the answer will be 0.023
Answer Is B as 23/100 is also 0.23 (Two Zeros Shift)
- If This Answer Helped You Please Mark As Brainliest
which lines are parallel
y=2x+3
y=2x-5
y=-2x+3
The parallel lines are y = 2x + 3 and y = 2x - 5
How to determine the parallel lines?The given equations are linear equations
Linear equations are represented as
y = mx + c
Where the slope of the linear equation is
Slope = m
Linear equations that have the same slope are parallel
This means that y = mx + c and y = mx + b are parallel lines because the slopes of the linear equations is m
Using the above as a guide, the parallel lines are y = 2x + 3 and y = 2x - 5
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simplify to a single power of 4
Answer: 4^15
Step-by-step explanation:
(4^3)^5=
4^(3*5)=4^15
I'll give brainly. need correct answers only
Answer here:
Explanation here:
Determine the value of x.
A) 2 squareroot of 3.
B) 12
C) 6 squareroot of 3.
D)12 squareroot of 3.
Answer: [tex]6\sqrt{3}[/tex]
Reason:
For any 30-60-90 triangle, the long leg is exactly [tex]\sqrt{3}[/tex] times as long compared to the short leg.
In other words,
[tex]\text{long leg} = (\text{short leg})*\sqrt{3}[/tex]
In this case, the short leg is 6 units long. The short leg is always opposite the smallest angle 30 degrees. Once again, this only applies to 30-60-90 triangles.
say whether the lines AB and CD are parallel in the following diagrams, with reasons
Answer:
AB and CD are parallel lines
Step-by-step explanation:
Parallel lines are the lines that do not intersect or meet each other at any point in a plane which ,ezns AB and CD are parallel
It will take at least 360 points for Kiko's team to win the math contest. The scores for Kiko's teammates were 94,82, and 87, but on of Kiko's teammates lost 2 of those points for an incomplete answer. How many points must Kiko earn her team to win the contest?
Please explain :)
Answer:
Step-by-step explanation:
The points up to now are
94+82+87−2=261
Explanation:
Kiko must make up the difference:
360−261=99
points.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
answer [-19]d + [4]p +[2]
Answer:
[tex]-9d-4p-6-10d+8=-19d-4p+2[/tex]
Step-by-step explanation:
[tex]-9d-4p-6-10d+8[/tex]
[tex]=-9d-10d-4p-6+8[/tex]
[tex]=-19d-4p-6+8[/tex]
[tex]=-19d-4p+2[/tex]
So the answer would be -19d-4p+2
hopefully this helps you ~
aiden has $64 to spend at the carnival he must pay $16.50 to get in and then $1.50 for each ride how many rides can aiden ride
Answer: 31 times
Step-by-step explanation:
Answer:
$31.6666667
Step-by-step explanation:
$64 - $16.50 =$47.5
$47.5÷$1.50 =$31.6666667
i used a calculator
Louis makes a model of a plane.
The wingspan of the model is 50 centimetres.
The wingspan of the real plane is 80 metres.
(a) Work out the scale of the model.
Give your answer in the form 1: n
50180
The length of the real plane is 72 metres.
(b) Work out the length of the model.
Give your answer in centimetres.
Write the number
as a fraction 0.233333
1/3 is equal to 0.3333333...
1/10 is equal to 0.1
If you subtract the two you will get a fraction equal to 0.23333333...
[tex]\frac{1}{3} - \frac{1}{10} \\\\[/tex]
Get a common denominator
[tex]= \frac{10}{30} - \frac{3}{30}[/tex]
Then combine them
[tex]= \frac{10-3}{30}\\\\= \frac{7}{30}[/tex]
Your answer is [tex]\frac{7}{30}[/tex]
Trina wants to find the least expensive way to buy 24 necklaces. She wants to buy only one type of package. She has $48. The table shows the number of necklaces in a package and the cost of each package.
Trina should buy the $6 packages to get 24 necklaces for the least price as calculated by using multiplication and division.
A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics .One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.At a fundamental level, counting the instances in which one number is included within another is one interpretation of the division of two natural numbers.From the attached table let us calculate the cost of buying necklaces in the various packages by using multiplication and division.
For the $4 package:
Number of necklaces in the package = 3
Number of packages Trina should buy (division used) = 24 ÷ 3 = 8
Cost of 8 packages =$ 4 × 8 = $ 32
For the $5 package:
Number of necklaces in the package = 4
Number of packages Trina should buy(division used) = 24 ÷ 4 = 6
Cost of 8 packages =$ 5 × 6 = $ 30
For the $6 package:
Number of necklaces in the package = 6
Number of packages Trina should buy(division used) = 24 ÷ 6 = 4
Cost of 8 packages =$ 6 × 4 = $ 24
Therefore buying the $24 package is the cheapest.
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Disclaimer: The missing table is attached below.
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If f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f circle g) (x)?
2
3
5
6
The correct answer for given question is 6.
If every element of a non-empty set X has only one image or range to a non-empty set Y, a relation 'f' is said to be a function.
Or
If 'f' is the function from X to Y and (x,y) f, then f(x) = y, where y is the image of x and x is the preimage of y under function f. It is written as;
f: X → Y.
In accordance with the conditions stated in the question:
f(x) = 3x^2 and g(x) = 4x^3 + 1
The composition of functions is defined as fog(x) = f(g(x)), where the input for the function f(x) is the actual expression of the function g(x) in terms of "x":
f(g(x)) = f(4x^3 + 1)
f(g(x)) = 3(4x^3 + 1)^2
f(g(x)) = 3(4x^3 + 1) (4x^3 + 1)
f(g(x)) = 3(16x^6 + 8x^3 + 1)
f(g(x)) = 48x^6 + 24x^3 + 3
Therefore, the degree of the given expression is 6 (the highest power of the variable ‘x’)
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What measure in linear-regression analysis provides the percent of variation in the dependent variable (y) that is explained by the regression equation?
The measure in linear-regression analysis that provides the percent of variation in the dependent variable as explained by the regression equation is the Coefficient of Determination.
What is the Coefficient of Determination?This is a measure that allows us to see just how much the variation in the dependent variable, is as a result of the independent variable and is therefore explained by the regression equation.
The Coefficient of Variation is very important because it helps to show the usefulness and accuracy of the regression equation model.
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ann is 4 years older than Julie. 4 years ago, ann was twice as old as julie. find their present ages
The present ages of Ann and Julie are 12 years and 8 years, respectively.
What are the current ages of Ann and Julie?
Let x, y be the current ages of Ann and Julie, whose features are synthetized in the following linear equations:
Ann is 4 years older than Julie
x = y + 4
x - y = 4 (1)
4 years ago, Ann was twice as old as Julie
x - 4 = 2 · (y - 4)
x - 4 = 2 · y - 8
x - 2 · y = - 4 (2)
Now we proceed to determine the ages of Ann and Julie by solving the system of linear equations: (x, y) = (12, 8)
The present ages of Ann and Julie are 12 years and 8 years, respectively.
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HELP ASAP!! I DONT GET IT
Answer:
16
Step-by-step explanation:
Given that the total number of seats in an auditorium is modeled by the following equation:where x represents the number of rows of seats.We are to find the number of rows are there in the auditorium with a total of 416 seats.So, we are to find the value of x if f(x) = 416.
Since the number of rows cannot be negative, so the required number of rows in the auditorium is 16.Thus, the number f rows is 16.
Determine the domain of the function:
3x²-2
f(x) = { 10x - 12
X
3
-10
1
7≤x≤15
Answer:
18
Step-by-step explanation:
value of x 10
10x-12=10*10-12
=32
Find an equation of the tangent line to the curve at the given point. y = ex cos(x) , (0, 1)
The equation of the tangent line to the curve at the given point is given by: y = x + 1.
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Now,
Given:
Equation of line: y = [tex]e^{x}[/tex] cos(x)Given point = (0,1)To find: Equation of a tangent line through the given point.
Finding:
y = [tex]e^{x}[/tex] cos(x)
By product rule of differentiation, y' = [tex]e^{x} sin(x) +e^{x} cos(x)[/tex]
For x = 0, y' (0) = 1 (0) + 1( 1) = 1 = slope of the line
Now, we know: equation of a line is given by:
[tex](y-y_0)=m(x-x_0)[/tex]
For [tex]x_0 = 0 And y_0 = 1[/tex], The equation of the tangent line will be:
=> y - 1 = 1 (x - 0)
=> y - 1 = x
=> y = x + 1
Hence, The equation of the tangent line to the curve at the given point is given by: y = x + 1.
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Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 12 steps forward, and Shaunte walked 8 steps backwards. Which expression correctly represents the distance between the friends?
12 + 8 = 20 steps
12 + |−8| = 20 steps
|−12| + 8 = 20 steps
|−12| + |−8| = 20 steps
Answer:Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 12 steps forward, and Shaunte walked 8 steps backwards. Which expression correctly represents the distance between the friends? The answer is b 12 + -8=20
Step-by-step explanation:
Round 829.9 to the nearest whole number
Answer:
The nearest whole number is 830.
We have a three digit - 829.9.
We have to convert it into nearest whole number.
Step-by-step explanation:
A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 18-inch pieces can the dressmaker cut from 5 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?
Answer:
30 pieces
540 inches of ribbon in total
Step-by-step explanation:
1 foot = 12 inches
9 feet of ribbon = (9x12) 108 inches of ribbon (1 roll)
5 x 108 = 540 inches of ribbon (in total)
540 / 18 = 30
30 pieces of ribbon
9589+5319 simplified using decimal form
Answer:
149.08
Step-by-step explanation:
9,589+5,319= 14,908
14,908 in decimal form is 149.08
therefore, your answer is 149.08
Solve.
3 The Ramirez family drives 8 hours each day for 3 days.
They drive 457 miles the first day, 468 miles the
second day, and 473 miles the third day. How many
miles each hour do they drive on average for the
whole trip?
Show your work.