Answer:
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Step-by-step explanation:
From the question we are told that:
Percentage of audience in first concert [tex]P(X)=0.28[/tex]
Percentage of audience in second concert [tex]P(Y)=0.42[/tex]
Percentage of audience in third concert [tex]P(Z)=0.30[/tex]
Audience Percentage at at-least one concert [tex]P(X \cup Y \cup Z)=0.80[/tex]
Percentage of audience at first & second concert [tex]P(X \cap Y)=0.10[/tex]
Percentage of audience in first & third concert [tex]P(X \cap Z)=0.08[/tex]
Percentage of audience in second & third concert [tex]P(Y\cap Z)=0.07[/tex]
Generally the equation for probability of attending all concerts [tex]P(X\cap Y\cap Z)[/tex]is mathematically given by
[tex]P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70[/tex]
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Therefore the probability that a randomly selected audient attended all the concerts
[tex]P(X\cap Y\cap Z)=0.05[/tex]
perimeter and area of a rectangular figure has a perimeter of 34cm its length is 9cm
Answer:
Perimeter of rectangle = 32
Step-by-step explanation:
32 = 2(L+B)
L+B=16
B=16-L
B=16–9
B=7
AREA = L*B
AREA = 63sq.cm
1. Use ( − 4) 2 − 28 = 8 for the following: a. Explain why ( − 4) 2 − 28 = 8 has two solutions. (5 pts) b. Solve the equation to find the solutions. Show your work. (5 pts)
Well, ( − 4) 2 − 28 = 8 has two solutions because (-4) -w = 8 = ? once determined - 4 would equal 20 + the left over which is 8. This can be solved multiple ways and even backwards.
For the the equation (-4)² - 28 = 8 the solutions are x = 2 and x = -10.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation (-4)² - 28 = 8 has two solutions because when we square -4, we get 16.
When we subtract 28 from 16, we get -12.
But if we add 28 to -12, we get 16 again.
So we have two values of x that satisfy the equation: x = -4 and x = 4.
b. We can solve the equation by adding 28 to both sides:
(-4)² - 28 + 28 = 8 + 28
Simplifying, we get:
(-4)²= 36
Taking the square root of both sides, we get:
-4 = ±6
So the two solutions are:
x = -4 + 6 = 2
x = -4 - 6 = -10
Therefore, the solutions to the equation (-4)² - 28 = 8 are x = 2 and x = -10.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ3
What is the value of x in this octagon?
Enter your answer in the box.
Answer: 166 degrees
Step-by-step explanation:
An octagon has 1080 degrees in it. So just subtract all of the angles out of 1080.
1080-104-126-163-130-131-107-153= 166
ANSWER: 166 degrees
Answer:
166 degrees
Step-by-step explanation:
in an octagon, there are a total of 1080 degrees,
so we take all of the degrees we do know, and subtract them from 1,080 degrees! --- (1080-104-126-163-130-131-107-153= 166)
we end up with 166 degrees! :)
hope this helped!
Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help?
Answer:
9=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x²-9x+7=0
2x²-9x=-7
x²-9/2 x +(-9/4)²=-7+(-9/4)²
(x-9/4)²=-7+81/16=(-112+81)/16=-31/16
(x+(-9/4))²=-31/16
Please see attached pic
Answer:
D is the correct answer.
Step-by-step explanation:
-Subtract final value by start value
-Divide by start value
-Multiply by 100
Answer:
33%
Step-by-step explanation:
2. Bart and Jimmy's Ice Cream Shop are designing a new logo for their company. The logo is shown
below. What is the area of Bart and Jimmy's new logo?
A 88.26 cm?
B 74.13 cm
C 58.26 cm
D 44.13 cm
HURRY
Answer:
Marie Skłodowska-Curie
Polish chemist and pioneer in the field of radioactivity. First woman to become a professor at the University of Paris.
^ po polsku być powinno
Kto Polska?
What is the domain of the square root function graphed below? On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3). x less-than-or-equal-to negative 1 x greater-than-or-equal-to negative 1 x less-than-or-equal-to 0 x greater-than-or-equal-to 0
Answer:
Its D
Step-by-step explanation:
Ed2021
Answer
x greater-than-or-equal-to 0
Step-by-step explanation:
yes
Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are summarized in the table. Projector Whiteboard Total Male 22 10 32 Female 28 15 Total 25 75 What is the approximate probability that a teacher prefers projectors and is female?
Answer: c is the answer
C: 0.560
Step-by-step explanation:
Three methods for teaching mathematics to first graders are to be compared. Ten students are
randomly assigned to each of the methods, and the score on a quiz is recorded. What are the
response and treatment for this experiment?
Answer: The three methods are the treatments and the response is the score achieved on the quiz.
Step-by-step explanation:
The three techniques are the treatments, and the results are the final score.
what is response variable in the experiment?
The researcher predicts that a variable will change if the controlled variable changes; this variable is known as a responsive variable. A dependent variable is another name for a responsive variable.
Solution:
Three methods are assigned for teaching mathematics.
Randomly ten students are assigned to each of the method.
There scores are then recorded on a quiz.
It is clear that the response will be the score card of the students either scoring high marks or not being able to clear it.
And the treatments are three for if the student is not able to understand any of the method.
Hence the three methods serve as treatments, and the outcomes determine the final grade.
Learn more about "Logical reasoning questions" here-
brainly.com/question/25175983
#SPJ2
PLZ HELP I NEED AWNSERS ASAP
a statistical question anticipates that answers will vary. which of these are examples of statistical questions?
A) how many computers are in the school's lab?
B) how many letters are in the wrong direction?
C) what are the favorite books of each member of the book club?
D) how many people volunteered to help at the community's Christmas
E) how many video games were purchased last year by each student in Mr.hills math class
E.
It gives a very precise question which will give much data.
1/2 x 288 = ???????
What is the answer?
Answer:144
Step-by-step explanation:
Use a calculator
or 1/2 x 288 = 288/2 = 144
Answer: 144
Step-by-step explanation:
I'm assuming that the "x" in this statement is a multiplication symbol.
Multiplying any number by 1/2 or 0.5 is the same thing as dividing it by 2.
Therfore the answer is 288/2 which is 144.
HELP! Does the pythagorean theorem work for every triangle or just for right triangles?
a. everytriangle
b. only right triangles
Answer:
This is so easy!
ONLY RIGHT TRIANGLES
Did you really ask this question?
Tip: You should learn the basics first.
What is the correct value for x , in the equation, 4x + 12 = 60?
Answer:
x = 12
Step-by-step explanation:
im 100% sure i hope this helps :)
Answer:
[tex]4x + 12 = 60 \\ 4x = 60 - 12 \\ 4x = 48 \\ x = \frac{48}{4} \\ x = 12[/tex]
=> 12 IՏ Tᕼᗴ ᑕOᖇᖇᗴᑕT ᗩᑎՏᗯᗴᖇ.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Find the volume. Round to the nearest tenth if necessary.
Answer:
1,440
Step-by-step explanation:
When you find the volume, you have to multiply all the numbers.
So in this case:
10*12*12 = 1,440
What type of counting problem is this?
Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?
The type of counting problem is combination with repetition.
What is combination ?One of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.
As johnny use a lot of condiments.
His mother tells him he may only make two additions to his meal.
He can add 2 condiments only twice, whether he already use them or not.
So, here we will use combination with repetition because here same condiments can be added twice that is two times.
So, in how many different ways can johnny improve his meal can be determined by combination with repetition.
Learn more about combination here:
https://brainly.com/question/13387529
#SPJ2
Answer:
10
Step-by-step explanation:
In the figure TU is tangent to the circle at the U point. See below
Answer: 6
Explanation: 8 + 4 divided by 2 = 6
I know this is definitely the correct answer but I forgot which theorem it is. If you need any further explanation I will gladly try and find some more.
There are 165 deer in a state park. The population is increasing at the rate of 12% per year. Enter a prediction for how long it will take the population to reach 300. If necessary, round your answer to the nearest tenth.
The deer population will reach 300 in approximately _____
years.
What is the solution to the to system equations in the graph?
Answer:
b
Step-by-step explanation:
The solution for system of two equations is simply the intersection of the two functions. Hence (b) is the answer
please help me.......
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
Let's use CAH 1st , on the Lenovo building, b/c we have they Hypotenuse (Hyp) and an angle and we want to know the other side of the Lenovo building
Cos(30) = x/294
294*Cos(30) = x
254.611 = x
Sin(30) = y / 294
294*Sin(30) = y
147 = y
perimeter = 147+254.611+294
perimeter Lenovo = 695.611 feet
For Asus building
hyp = sqrt [ ( 144.5*[tex]\sqrt{2}[/tex])^2 + 144.5*[tex]\sqrt{2}[/tex])^2 )]
hyp = 289
perimeter = 289+144.5*[tex]\sqrt{2}[/tex]+144.5*[tex]\sqrt{2}[/tex]
perimeter Asus = 697.7077
The difference of the two buildings is
697.7077 - 695.611 =2.09671 feet
the difference is 2.10 feet ( rounded to nearest 100th)
The period of a pendulum is the length
of time required to complete one swing
back and forth. If it takes 1.4 sec for a
0.49m pendulum to complete one period,
'What is the period of a 0.36 mpendulum?
Answer:
T₂ = 1.2 s
Step-by-step explanation:
The time period of a simple pendulum is given by :
[tex]T=2\pi \sqrt{\dfrac{L}{g}}[/tex]
Where
L is length of the pendulum
g is acceleration due to gravity
We have,
T₁ = 1.4 s, L₁ = 0.49 m, L₂ = 0.36 m, T₂= ?
[tex]\dfrac{T_1}{T_2}=\sqrt{\dfrac{L_1}{L_2}} \\\\T_2=\dfrac{T_1}{\sqrt{\dfrac{L_1}{L_2}}}\\\\T_2=\dfrac{1.4}{\sqrt{\dfrac{0.49}{0.36}}}\\\\T_2=1.2\ s[/tex]
So, the new time period is equal to 1.2 seconds.
She has 12 watermelons, 30 pears, and 42 apples
For each basket Kerra makes they must have the same number of fruit.
She must use all the fruit.
What is the greatest number of baskets that Kerra can make?
Of 300 students in the cafeteria, 180 had lunch. Write the simplified ratio of the students in the cafeteria to the students that had lunch.
Answer:
300 : 180 = 5 : 3
find the angle measure x in the following figures
Cody is purchasing sports equiptment for $161.37. In Colorado, the sales tax is 2.9%. What is the total cost, including tax, on his purchase?
Answer:
$166.04
Step-by-step explanation:
take the price and add the percentage.
Answer:
166.05
Step-by-step explanation:
161.37x1.029
If a team of minors drill a hole 50.4 m into a rock formation and drill at a steady rate of 2.8 m/min. how long does it take to drill the hole
Answer:
t = 18 minutes.
Step-by-step explanation:
We can find the time by using the following kinematic equation:
[tex] y_{f} - y_{0} = v_{0}t + \frac{1}{2}at^{2} [/tex]
[tex] \Delta y = v_{0}t + \frac{1}{2}at^{2} [/tex]
Where:
Δy: is the difference between the initial and the final height = 50.4 m
t: is the time
a: is the acceleration
v₀: is the velocity of the drill = 2.8 m/min
Since the speed of perforation is constant, the acceleration is zero so:
[tex]\Delta y = v_{0}t[/tex]
Then, by solving the above equation for "t" we have:
[tex] t = \frac{\Delta y}{v_{0}} = \frac{50.4 m}{2.8 m/min} = 18 min [/tex]
Therefore, it takes 18 minutes to drill the hole.
I hope it helps you!
It takes 24 hours to drive from town A to town B. At an average speed of 31 mph, how far is it?
Answer:
744 miles
Step-by-step explanation:
each hour is 31 miles
the drive is 24 hours
31*24=744
Answer:
744 miles
Step-by-step explanation:
Determine the equation of this circle. *
Answer:
b is correct center of circle is x=4 y=-2
radius = 3
Hey can you guys please help me understand. I need to find the answer to this question and my teacher explained how to do the assignment HORRIBLY. Please explain to me how you got the answer :)
mmm answer is 139.5 (C)
7x4.5=31.5
12x9=108
108+31.5=139.5
Answer:
A=139.5cm^2
Step-by-step explanation:
12x9=108---->Area of the rectangle A=l x w
9x7=63 divided by 2=31.5--->Area of the triangle A=1/2 (b x h)
108+31.5=139.5cm^2
Hope this helps and can you give me brainliest pls?
Consider the following problem: The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box
Answer:
Yes, we can
Step-by-step explanation:
H0 : μ = 9.75
H1 : μ > 9.75
n = 25 ; xbar = 9.85 ; σ = 0.27
The test statistic:
T = (xbar - μ) ÷ (σ / √n)
T = (9.85 -9.75) ÷ (0.27 ÷ √25)
T = 0.1 ÷ 0.054
T = 1.85
We can obtain the Pvalue from the test statistic using the Pvalue calculator :
Pvalue at t score = 1.85 ; 24 = 0.038
If Pvalue < α ; Reject H0
α = 0.05
Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box
In the figure below, find the mZ6, in degrees, if m2 = 75°?
87
413
50° 2
1
56
PLEASE HELPP
Answer:
75 degrees
Step-by-step explanation:
2 and 4 are vertical angles so 4 is 75.
4 and 6 are alternate exterior angles so have same value.
6 is 75 degrees.