Suppose A and B are independent events. If P(A) = 0.3 and P(B) = 0.45, what is
P(A n B)?
Answer:
D
Step-by-step explanation:
P(A n B) given A and B are independent events is P(A) * P(B)
The probability of intersection of event A and B is 0.135, the correct option is D.
What is Probability?Probability is the study of chance of an event to happen.
A and B are two independent events.
P(A) = 0.3
P(B) = 0.45
P(A ∩ B) = P(A) * P(B)
P(A ∩ B) = 0.3 *0.45
P(A ∩ B) = 0.135
Therefore, the probability of intersection of event A and B is 0.135, the correct option is D.
To know more about Probability
https://brainly.com/question/11234923
#SPJ2
Let f(x) = .................
Answer:
= -9/2
Step-by-step explanation:
g(x) = -2x^2 -4
Let x = 1/2
g(1/2) = -2 (1/2)^2 -4
= -2 ( 1/4) - 4
-1/2 -4
- 4 1/2
= -9/2
The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. and standard deviation Sigma = 0.2 in. What percentage of the parts will have lengths between 3.8 in. and 4.2 in.? 34% 68% 95% 99.7%
Answer:
b) 68%
The percentage of the parts will have lengths between 3.8 in. and 4.2 in
P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %
Step-by-step explanation:
Let 'X' be the normally distributed
mean 'μ'= 4 inches
standard deviation 'σ' = 0.2 inches
Case(i):-
when x₁ = 3.8 inches
[tex]Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{3.8-4}{0.2} = -1[/tex]
Case(ii):-
when x₂= 3.8 inches
[tex]Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{4.2-4}{0.2} = 1[/tex]
The probability of the parts will have lengths between 3.8 in and 4.2 in
[tex]P( 3.8\leq x\leq 4.2) = P(-1\leq z\leq 1)[/tex]
= P(Z≤1) - P(Z≤-1)
= 0.5 +A(1) -(0.5-A(1)
= 2 A(1)
= 2×0.3413
= 0.6826
Conclusion:-
The percentage of the parts will have lengths between 3.8 in. and 4.2 in
P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %
Answer:
B
Step-by-step explanation:
E2020
The inverse of f(x) is a function
Answer:
The inverse of a function may not always be a function!
The original function must be a one-to-one function to guarantee that its inverse will also be a function.
can someone help me!!
Answer:
y = 4x -3
Step-by-step explanation:
A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descents. How far should she travel in each descent?
Answer:
20 feet
Step-by-step explanation:
5 descent =>100 feet
1 descent => 100÷5
= 20 descent
Find the area of the triangle.
a.
620 sq. m
c.
540 sq. m
b.
270 sq. m
d.
980 sq.m
Answer:
[tex]270 \:m^2[/tex]
Step-by-step explanation:
The area of the triangle.
[tex]bh\frac{1}{2}[/tex]
[tex]b \times h \times \frac{1}{2}[/tex]
[tex]20 \times 27 \times \frac{1}{2}[/tex]
[tex]540 \times 1/2[/tex]
[tex]=270[/tex]
The area of triangle would be;
⇒ Area of triangle = 270 m²
Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Here, Given that;
Base of triangle = 20 m
Height of triangle = 27 m
Now, We know that;
Area of triangle = 1/2 × Base × Height
Substitute all the values, we get;
⇒ Area of triangle = 1/2 × Base × Height
⇒ Area of triangle = 1/2 × 20 × 27
⇒ Area of triangle = 270 m²
Thus, The area of triangle would be;
⇒ Area of triangle = 270 m²
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
The value of a painting can be predicted by the expression 120(1.08)t, where t is the number of years since 2014.
What does the value 120 represent?
1. the predicted value of the painting in 2014
2. the predicted change in the value of the painting each year
3. the predicted percent change in the value of the painting each year
4. the number of years for which the value of the painting is predicted to continue changing
Answer:
1. the predicted value of the painting in 2014
Step-by-step explanation:
In the expression, 120 represents the initial value of the painting.
In expression [tex]120(1.08)^t[/tex], t is the number of years since 2014, and 120 represents the predicted value of the painting in 2014.
Exponential growth occurs if a quantity increases by the same factor over equal intervals of time and if a quantity increases by the same factor over equal intervals of time then it is said to be exponential decay.
Could you Show work please
Answer:
2784 cm^2
Step-by-step explanation:
I have indicated in the pic there are 4 types of rectangles:
green : 20 x 4 = 80
red : 18 x 4 = 72
yellow : 20 x 18 = 360
blue : 18 x 16 = 288
green has 6 identical surface area so 6 x 80 = 480
red has 4 so 4 x 72 = 288
yellow has 4 so 4 x 360 = 1440
blue has 2 so 2 x 288 = 576
total : 480 + 288 + 1440 + 576 = 2784
Dana has to pay 25% tax on any income above £24,000 per year. Dana is paid £36,000 annually. Calculate the amount of money she receives after tax each month.
Answer:
£2,750
Step-by-step explanation:
Tax rule: 25% tax on any income above £24,000 per year
It means that upto £24,000 there is no tax and the amount above £24,000
is taxable.
Annual payment of Dana = £36,000
Hence, she will be taxed only on amount above £24,000 out of £36,000.
Lets find amount above £24,000 = £36,000- £24,000 = £12,000
Tax on £12,000 = 25% of £12,000 = 25/100 * £12,000 = £3,000
Thus, £3,000 will be deducted as tax annually out of total earning of £36,000.
Amount paid to Dana after deduction of tax annually = £36,000 - £3,000
Amount paid to Dana after deduction of tax annually is £33,000
As one year has 12 months , hence it can be also said that in 12 months she is paid £33,000
the amount of money she receives after tax in 12 month = £33,000
Dividing LHS and RHS by 12
The amount of money she receives after tax in 12/12 month = £33,000/12
The amount of money she receives after tax in 1 month = £2,750
The amount of money Dana receives after tax each month is £2,750.
triangle jkl is similar to triangle tuv. find the missing side length of triangle tuv. JK=10in JL=8in KL=13in TU=7.5 UV=9.75 find TV
Answer:
TV=6 inch
Step-by-step explanation:
If Triangle JKL is similar to Triangle TUV, the following ratio applies.
[tex]\dfrac{JK}{TU}= \dfrac{KL}{UV}=\dfrac{JL}{TV}\\$JK=10in., JL=8in., KL=13in., TU=7.5., UV=9.75\\\dfrac{10}{7.5}= \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Picking any two equal ratios\\ \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Cross multiply\\13*TV=8*9.75\\TV=8*9.75 \div 13\\$TV=6 inch[/tex]
2 3 x = − 1 2 x + 5 what is x?
Answer: 1/7
Step-by-step explanation:
23x = -12x + 5
23x + 12x = 5
35x = 5
x = 1/7
Is x = 17 a solution to the equation x + 15 = 42?
guys plz help me :(
Answer:
no
Step-by-step explanation:
x + 15 = 42
Subtract 15 from each side
x + 15-15 = 42-15
x = 27
x = 17 is not 27 so it is not a solution
Answer:
No.
Step-by-step explanation:
If you substitute 17 in for x in the equation you get 17+15=42. Simplify to get 32=42. This is not a true statement, so x=17 is not the answer.
Given PB tangent. PV,PU Secants. If m VU=70 degrees and m ST=30 degrees, then m angle 2=? 20,50,35
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
odysseywar said i got it right
Clara goes mini golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs?
6.25x + 7.50 = 26.25
6.25x - 7.50 = 26.25
7.50x + 6.25 = 26.25
7.50x - 6.25 = 26.25
Answer:
6.25x + 7.50 = 26.25
Step-by-step explanation:
Given that
The admission fee is = $7.50
Each round costs = $6.25
Total money Clara paid = $26.25
The computation of equation can be used to determine the number of rounds, x, that Clara golfs is shown below:-
we assume the number of rounds = x
Here, We can denote this equation in the following form
[tex]6.25x+7.50=26.25[/tex]
Therefore with the help of above equation we can now find out the x value
[tex]6.25x=26.25-7.50[/tex]
[tex]=> 6.25x=18.75[/tex]
[tex]=> x = 3[/tex]
So, Clara played 3 rounds of golf.
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
can someone help me pls !!
Answer:
you're on a computer, you can literally just look up the answer.
Step-by-step explanation:
HELP ASAP!!1 Write the phrase as a rate in simplest form. 320 miles on 34 gallons a. 160miles/ 17 gallons b. 160miles/ 34 gallons c. 320gallons/ 34 miles d. 320miles/ 34 gallons e. 160gallons/17 gallons
Answer: c( 320 gallons/34 miles or d( 320 miles/34 gallons
hope it helps..
EB and DA are diameters of circle Y. What is the measure of arc EDC?
Answer:
Option (D). 110°
Step-by-step explanation:
Since EB and AD are diameter,
[tex]m(\widehat{ECB})[/tex] = [tex]m(\widehat{ACD})[/tex] = 180°
[tex]m(\widehat{ECB})=m(\widehat{EDC})+m(\widehat{BC})[/tex] = 180° -------(1)
And [tex]m(\widehat{ACD})=m(\widehat{AB})+m(\widehat{BCD})[/tex]
180° = 40° + [tex]m(\widehat{BCD})[/tex]
[tex]m(\widehat{BCD})[/tex] = 140°
Since, [tex]m(\widehat{BCD})=m(\widehat{BC})+m(\widehat{CD})[/tex]
[tex]2m(\widehat{BC})[/tex] = 140° [Given [tex]m(\widehat{BC})=m(\widehat{CD})[/tex]]
[tex]m(\widehat{BC})[/tex] = 70°
From equation (1),
[tex]m(\widehat{EDC}})[/tex] = 180° - [tex]m(\widehat{BC})[/tex]
[tex]m(\widehat{EDC}})[/tex] = 180°- 70°
Therefore, measure of arc(EDC) = 110°
Option (D) will be the answer.
f(x) = 4x^2+2x+6 what is the discriminant of f? How many distinct real number zeros does f have?
Answer:
The discriminant of f is 92, and it has no real zeros
Step-by-step explanation:
The discriminant of a quadratic is [tex]b^2-4ac[/tex], where the quadratic is in the form [tex]ax^2+bx+c[/tex]. The discriminant of this one is therefore:
[tex]2^2-4(4)(6)=4-96=-92[/tex]
Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!
Solve this inequality.
8x + 6 less than or equel to 54
Answer:
[tex]x\le 6[/tex]
Step-by-step explanation:
We need to solve the given inequality [tex]8x+6\le 54[/tex] ....(1)
Subtract 6 on both sides of the equation as :
[tex]8x+6-6\le 54-6\\\\8x\le 48[/tex]
Dividing both sides of the equation by 8 such that,
[tex]x\le 6[/tex]
So, the value of x is less than equal to 6. Hence, this is the required solution.
Michael's checking account balance was $345. Michael withdrew $160 three times. What is his balance now?
Answer:
The answer is -135
Step-by-step explanation:
We can do 160 times 3 which is 480 for the 3 times he withdrew $160 from his total. (Withdraw means taking, so subtraction).
Then, we do 480 minus 354 which is -135.
Can someone help me please thank you it’s geometry
Answer:
alternate exterior angles
Step-by-step explanation:
The two horizontal lines are simply two lines.
The other line is a transversal since it intersect the two lines at two different points.
Angles 1 and 8 are on two different sides of the transversal. That makes them alternate angles. They are on the outside of the two lines. That makes them exterior angles. Put the two things together and they are:
alternate exterior angles
Charisse was riding north then she turned 90° to the left after turning in what direction was charisse riding Explain your answer
Answer:
west
Step-by-step explanation:
Answer:
West
Step-by-step explanation:
90 deg left of north is west.
A standard fair dice is rolled twice. What is the probability of getting an even number on the first roll and any number except 5 on the other?
Answer:
Step-by-step:
Well, the probability for getting an even number on the first roll is 1/2
The probability for getting not 5 would be 5/6
You can make a tree diagram.
1 2 3 4 5 6
1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6
The numbers on the top represent the first roll. The numbers on the bottom represent the second roll. The first roll should be an even number, so we know that we should be looking at the even numbers. The second one should be anything but 5. So, what I did was look at the numbers that weren't 5. Look at the diagram with the even number at the top. then, look at the numbers that aren't 5 below. Since there are 5 numbers that aren't 5, and 3 even numbers, multiply 3 x 5 and you'll have 15. So add all the numbers at the bottom and that would be 36, so it's 15/36.
Ken flips 2 fair coins. What is the probability of obtaining the same result on each coin?
Given f(x) = –3x – 4, find f(–5).
Answer:
3x
Step-by-step explanation:
because if f is -5, -5=-3x-4, -5+4, -1=-3 divide and get 3=x
what is 98.5x13? estimated guess only
Answer:
Step-by-step explanation:
which of the following is the solution to the inequality below?
Answer:
14≤x
Step-by-step explanation:
-6(x-4) ≤-4(x+1)
Distribute
-6x+24 ≤-4x-4
Add 6x to each side
24 ≤-4x-4+6x
24 ≤ 2x-4
Add 4 to each side
24+4≤2x
28≤2x
Divide by 2
28/2≤2x/2
14≤x
a) Find the square number
7
12
20
25
27
b) Find the cube number
7
12
20
25
27
Answer:
a) 25
5² = 5×5 = 25
b) 27
3³ = 3×3×3 = 27
(a) The square number is 25.
(b) The cube number is 27.
The following information should be considered:
The square number is the number that should be multiplied by itself.While on the other hand, the cube number is the number that should be multiplied it by 3 times itself.So based on the given options, we can conclude that
(a) The square number is 25.
(b) The cube number is 27.
Learn more: brainly.com/question/17429689