Answer:
x=7/2
Step-by-step explanation:
Answer:
X=7/2
Step-by-step explanation:
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time. Are the events, departing on time and arriving on time, independent?
Complete Question
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.
• You are meeting a flight that departed on time. What is the probability that it will arrive on time?
• You have met a flight, and it arrived on time. What is the probability that it departed on time?
• Are the events, departing on time and arriving on time, independent?
Answer:
1st Question
[tex]P(X_1) = 0.833[/tex]
2nd Question
[tex]P(X_2) = 0.938[/tex]
3rd Question
The probabilities are not independent
Step-by-step explanation:
From the question we are told that
The probability of flight that depart on time is P(DT) = 0.9
The probability of flights that arrive on time is [tex]P(AT) = 0.8[/tex]
The probability of flight that depart on time and arrive on time is [tex]P(DT\ |\ AT) = 0.75[/tex]
In the first question the flight is departed on time so the probability that it will arrive on time is
[tex]P(X_1) = \frac{P(DT\ | \ AT)}{DT}[/tex]
substituting values
[tex]P(X_1) = \frac{0.75}{0.9}[/tex]
[tex]P(X_1) = 0.833[/tex]
In the second question the flight arrived on time, so the probability that it departed on time is mathematically evaluated as follows
[tex]P(X_2) = \frac{P(DT\ | \ AT)}{AT}[/tex]
substituting values
[tex]P(X_2) = \frac{0.75}{0.8}[/tex]
[tex]P(X_2) = 0.938[/tex]
Looking at the given and calculated values we see that the probability of depart on time and arrive is not equal to the probability of depart on time,
i.e 0.75 = 0.8
the probability of depart on time and arrive, and the probability of depart on time are not independent
Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Answer: Francisco is correct
Step-by-step explanation:
Positive 4 and positive 7
Negative 3 and negative 2
4 * 7 = 28
-3 * -2 = 6
Can any one please do this for me I did not know how to do it can some one please help me
Answer:
Length ≈ 31cm
Width ≈ 10cm
Step-by-step explanation:
[tex]Let -the-length-be : x\\Let-the-width-be :y\\\\According- to- the- question ; \\x = 3(y)\\x=3y ---------(1)\\2(l+w)=82\\2(x+y)=82\\2x+2y =82 --------(2)\\Substitute- the - given- value- for ; x -in - equation---(1) into -equation (2)\\2(3y)+2y =82\\6y+2y=82\\8y =82\\\frac{8y}{8} =\frac{82}{8} \\y = 10.25\\\\Substitute 10.25 -for ;y -in -eq 1\\x=3y ---------(1)\\x = 3(10.25)\\x = 30.75[/tex]
CHECK
[tex]Length =31\\Width = 10\\P = ?\\P= 2(l+w)\\P = 2(31+10)\\P = 2(41)\\P= 82cm[/tex]
A large solar panel can generate power at a maximum rate of 400400400 kilowatts per day. It generates power at a constant rate when the sky is cloudy, and it generates power at a constant rate when the sky is clear. Let CCC represent the number of hours when the sky is cloudy and LLL represent the number of hours when the sky is clear during which the solar panel can generate power without exceeding its capacity. 5C+32L \leq 4005C+32L≤4005, C, plus, 32, L, is less than or equal to, 400 According to the inequality, at what rate does the solar panel generate power when the sky is cloudy, and at what rate does it generate power when the sky is clear?
Answer:
Rate of power generation when the sky is cloudy= 5 watts per hour.
Rate of power generation when the sky is clear = 32 watts per hour.
Step-by-step explanation:
A large solar panel can generate power at a maximum rate of 400 kilowatts per day.
Let the number of hours when the sky is cloudy =C
Let the number of hours when the sky is clear = L
Given the inequality:
[tex]5C+32L \leq 400[/tex]
The rate at which the solar panel generates power when the sky is cloudy is 5 watts per hour.
The rate at which the solar panel generates power when the sky is clear is 32 watts per hour.
Answer:
Box one: 5
Box two: 32
Part 2 is: No
Step-by-step explanation:
The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use 22 7 for π.
Answer
D: 132 ft
C= π2r
So, take pi and multiply that by two..
π2= 6.28
Now, take your radius and multiply it by 6.28.
21 x 6.28= 131.88
Round it two the nearest whole number, which is 132!
Hope this helps!
The formula for circumference is C = 2 x pi x radius
c = 2 x 22/7 x 21
C = 132
The circumference is 132 feet
HELP ME PLEASE HELP HELP
Answer:
(5x−3)(x−4)
Step-by-step explanation:
5x2−23x+12
5x2−23x+12
=(5x−3)(x−4)
Please help me with trig I’d really appreciate
Answer:
2 root 10/ 7, or the second option.
Step-by-step explanation:
If a is 3, then b is root 40. (Pythagorean)
root 40= root 4x10, or 2 root 10
Tangent= opposite/hypotenuse
Tangent= 2 root 10/ 7
Ifx=-3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?
Answer:
D = 0
Step-by-step explanation:
Given
x-intercept = -3
Required
What does the discriminant represent?
The discriminant of a quadratic function can take any 3 values; these are as follows;
When D > 0 When D < 0When D = 0Which translates to
signifies that two different real roots existsignifies that only complex roots existsignifies that the two identical real roots existThe question says that x-intercept = -3 is the only value;
This means that: x = -3 or x = -3
Analyzing the roots
3 and -3 are identical-3 and -3 are realThis means they satisfy condition number 3;
Hence, D = 0
simplify 3 x (x + 2) + 2 x ( 1 - x)
Answer:
x+8
Step-by-step explanation:
[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]
Hope this helps!
Answer:
x + 8
Step-by-step explanation:
3 × (x + 2) + 2 × (1 - x)
3(x + 2) + 2(1 - x)
Expand the brackets.
3(x) + 3(2) + 2(1) + 2(-x)
Multiply the terms.
3x + 6 + 2 + -2x
Rearrange.
3x + - 2x + 6 + 2
Add like terms.
1x + 8
Which is true about the polynomial 18r3s + 6r – 7s2?
A.It is a binomial with a degree of 2.
B.It is a binomial with a degree of 3.
C.It is a trinomial with a degree of 2.
D.It is a trinomial with a degree of 3.
Answer:
D.It is a trinomial with a degree of 3.
Step-by-step explanation:
3 terms one to the power of 3
Divide the following polynomials and then complete the quotient. Write your answer in order of decreasing powers of x.
Answer:
5[tex]x^{4}[/tex] - 8x² + 4
Step-by-step explanation:
Split the numerator, dividing each term by 4x³ , that is
[tex]\frac{20x^{7} }{4x^{3} }[/tex] - [tex]\frac{32x^{5} }{4x^{3} }[/tex] + [tex]\frac{16x^{3} }{4x^{3} }[/tex]
= 5[tex]x^{4}[/tex] - 8x² + 4 ← quotient
translate into an algebraic expression: 120 is increased by d % and increased by 25% . What is the result ?
The result is number [tex]r[/tex] where:
[tex]r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}[/tex]
Hope this helps.
Which set of values could be the side lengths of a 30 60 90 triangle
Step-by-step explanation:
[tex]x \: and \: \frac{1}{2} x \: and \: \frac{ \sqrt{3} }{2} x[/tex]
because
[tex] \sin(30) = \frac{1}{2} \\ \sin(60) = \frac{ \sqrt{3} }{2} [/tex]
Answer: your answer is A
Step-by-step explanation: when you have a 30 6090 triangle your sides will always have a set pattern. Decide across from the 30 angle will be equal to n decide across from the 60 angle Will always be equal to n sqared
Instructions: Find the missing length indicated.
Answer:
X = 20
Step-by-step explanation:
To get the answer, we can set this up like a ratio.
First, we need to get the missing side of the small triangle. Using [tex]a^{2} +b^{2} = c^{2}[/tex] we get [tex]9^{2} +b^{2} =15^{2}[/tex]
[tex]9^{2} +b^{2} =15^{2}[/tex] square
[tex]81 +b^{2} = 225[/tex] subtract 81 from 225
[tex]b^{2} =144[/tex] square root
[tex]b=12[/tex]
Set up a ratio:
[tex]\frac{9}{15} = \frac{12}{x}[/tex]
[tex]\frac{3}{5} =\frac{12}{x}\\3x=60\\x=20[/tex]
Match each expression on the left to its simplified version on the right.
Answer:
In the photo
Step-by-step explanation:
Simply multiply the numbers out of the brackets to the numbers in them, adhering to algebraic rules.
Answer:
the one above me is right expet for 2 of them purple and orange
Step-by-step explanation:
it was right on edge
What type of triangle is this.
Answer:
d
Step-by-step explanation:
only a scalence triangle has all sides with different length
It’s timed please help
Answer: 3[tex]\sqrt{2}[/tex]
All members of our painting team paint at the same rate. If $20$ members can paint a $4800$ square foot wall in $36$ minutes, then how long would it take for $9$ members to paint a $4200$ square foot wall, in minutes?
Answer:
It takes 70 minutes for 9 team members (painting 60 sq ft per minute) to paint a 4200 sq ft wall.
Step-by-step explanation:
According to the situation the calculation is shown below:-
= [tex]\frac{4800}{20}[/tex]
= 240 sq ft each member of the team in 36 minutes
= [tex]\frac{240}{36}[/tex]
= 6.67 sq ft each member of the team within 1 minute
[tex]= 6.67\times 9[/tex]
= 60 sq ft for every 9 team members in one minute
= [tex]\frac{4200}{60}[/tex]
= 70 minutes (or 1 hour and 10 minutes)
Hence, the 70 minutes is taken for 9 team members
PLS HELP ASAP Given the following probabilities, for what P(B) are events A and B independent? P(A)=23 P(A and B)=13
I'm assuming you meant to say
P(A) = 2/3
P(A and B) = 1/3
If that is the case, then A and B are independent if and only if the following equation is true
P(A and B) = P(A)*P(B)
So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it
-------------------------
P(A and B) = P(A)*P(B)
P(A)*P(B) = P(A and B)
(2/3)*P(B) = 1/3
P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3
P(B) = (1*3)/(3*2)
P(B) = 1/2 is the answer------------------------
If P(B) = 1/2, then
P(A and B) = P(A)*P(B)
P(A and B) = (2/3)*(1/2)
P(A and B) = (2*1)/(3*2)
P(A and B) = 1/3
Which is the given probability for both events happening. This confirms we have the correct P(B) value.
Calculate the area of this triangle.
16 cm
24 cm
20 cm
Answer:
Step-by-step explanation:
Area of triangle = 1/2 × b × h
= 1/2 × 24 × 16
= 192 cm^2
Hope this helps
plz mark as brainliest!!!!
Answer:
192 cm²
Step-by-step explanation:
Area of a triangle is equal to base × height × 1/2.
24 × 16 × 1/2
384 × 1/2
= 192
List the numbers that are in set (A U B)'
Answer
Step-by-step explanation:
(A U B) means that we should list the numbers that are in both A and B 12/8/10 are for example in both A and B THE COMPLEMENT is anything that is out ( A U B ) so 1,3 and 5If you were to pull colored marbles out of the bag (one at a time, and putting the marble back each time) for 500 tries, approximately how many times would you select a red marble?
Answer:
We need to know the other marbles in the bag and how many there are of each.
4/5 of a number is 32
Answer:
x = 40
Step-by-step explanation:
Step 1: Write out an equation
4/5(x) = 32
Step 2: Solve by dividing both sides by 4/5
x = 32/(4/5)
Use KCF (Keep Change Flip) if you do not have a calc.
x = 40
Answer:
The answer is 40
Step-by-step explanation:
32 times 5 is 160
then: 160 divided by 4 is 40.
check the answer: 4/5 of 40 is 32
because 40 divided by 5 is 8 and then times 8 by 4, so the answer would be 40.
Hope this helps!!!I divided one hole number by another hole number and got 3.125 on my calculator. both my numbers are less than 50 but I'v forgotten what they are. Can you work out what they are?
Answer:
25 and 8
Step-by-step explanation:
a/b = 3.125
a/b = 3125/1000
make it simple (divide by 25)
a/b = 125/40
ah, can be more simple (divide by 5)
a/b = 25/8
see 25 + 8 is less than 50
Step-by-step explanation:
1.25/8=3.125
50/16=3.125
but it tells that both two numbers are less than 50 then,the numbers are 25 and 8
Geometry can be defined as
Answer:
Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.
Step-by-step explanation:
TWO MINUTES HELP MY PLEASE
Answer: C
Step-by-step explanation:
Answer:
The third one. Y= -1/2x^2 -2x -1
Step-by-step explanation:
Please answer this question now in two minutes
Answer:
A. 17.5
Step-by-step explanation:
4x+8 27
L-------------M-------------------------N
<------------------ 6x -------------------->
LM = 4x+8
MN = 27
LN = 6x
LM + MN = LN
4x+8 + 27 = 6x
35 = 2x
17.5 = x
(40 POINTS) TRUE OR FALSE? The transformation of the function f(x) = (1/2)^x when it becomes f(x) = (1/2)^x+3 is a horizontal shift of 3 units to the right?
Answer:
False.
Step-by-step explanation:
You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.
Pleas answer this is in two minutes
Answer:
b
Step-by-step explanation:
not a because equilateral would be all equal
scalene is all different
Answer:
scalene
Step-by-step explanation:
because all sides are different.
Cameron Indoor Stadium at Duke University is one of the most revered sites in all of college basketball, as well as in all of sports period. Duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. Cameron Indoor Stadium is capable of seating 9,460 people. For each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance. If each ticket costs $45.50, find the domain and range of this function.
Answer:
Step-by-step explanation:
The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.
Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is
0 ≤ x ≤ 9460
Where x represents number of people.
For the range, the lowest total sales is 0 × 45.5 = $0
The highest total sales is
9460 × 45.5 = $430430
The range is
0 ≤ y ≤ 430430
Where y represents total sales