Answer: The answer is B.
Step-by-step explanation:
This is using the independent probability
Are events M and event N independent. No, because P(M)·P(N) ≠ P(M ∩ N).
What do you mean by independent events?
A and B are said to be independent events if the probability of an event A occurring is unaffected by the occurrence of another event B whereas dependent events influence the probability of other events Independent events can have common outcomes.
If two events A and B are independent of each other, then A and B have equal probability of occurring as
P(A∩B) = P(A) · P(B)
Event M and N have probabilities such that P(M) = 0.4, P(N) = 0.28 , P(M∪N) = 0.56 and P(M∩N) = 0.12
P(M)·P(N) = 0.4 × 0.28 = 0.112
and P(M∩N) = 0.12 (Given)
So, P(M∩N) ≠ P(M)·P(N)
This shows that both the events are not independent events.
Therefore, Event M and N are not independent event.
Learn more about the independent events from the link.
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Please help! I will give Brainliest!
Answer:
a
Step-by-step explanation:
3/15 simplifies to 1/5
help me I need this due by today, oh and I will be posting more and would love a explain on this
Answer:
Yes
Step-by-step explanation:
For the first equation all we need to do is distribute 6 to 3x and 5y. 6*3x = 18x and 6*5y = 30y. For the first equation, it will be: 18x + 30y.
The next equation seems hard but it's simple. First you can easily add, 4x and 6x. That will equal 10x. Then from there distribute 2 to 4x and 2y, so do the same thing as before. 2*4x = 8x and 2*2y = 4y. So now our equation looks like this: 10x + 15y + 8x + 4y + 11y. Now all you need to do is add the x's together and the y's together. 10x + 8x = 18x and 15y + 4y + 11y = 30y. Now we have 18x + 30y. Looks the same, and that is true.
Both equations equal 18x + 30y, so therefore the answer is yes or true.
calculate the area of his garden from the picture below pls help
Answer:
Hello! answer: 105.5
Hope that helps!
75 + 18 + 12.5 = 105.5
In the diagram, line m is tangent to the circle and m overline CAB =278°. Find m < CBE .
The angle m∠CBE between the intersection of the chord and tangent line is equal to 41°
How to calculate for angle between the intersection of a chord and a tangent.To calculate for the angle between the intersection of a chord and a tangent we need to know the measure of the intercepted arc, and then divide it by 2 to get the angle.
If the measure of the arc CAB is given to be equal to 278°, then the measure of intercepted arc BC is calculated as:
arc BC = 360 - 278
arc BC = 82°
angle CBE = 82°/2
m∠CBE = 41°
Therefore, the angle m∠CBE between the intersection of the chord and tangent line is equal to 41°
Read more about chord and tangent here:https://brainly.com/question/4470346
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C
3 m
4 m
What is the length of the hypotenuse?
Answer:
5 meters
Step-by-step explanation:
The values given, 3 and 4, are the legs a and b. The hypotenuse is the third and longest side, c.
To find the length of the hypotenuse, use the formula a² + b² = c².
Substitute our values for a and b and solve.
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²
√25 = √c²
5 = c
The hypotenuse is 5 meters long.
I hope this helps <3
Select each true statement about this.
A cylinder has a diameter of 18cm and a height of 4cm.
The radius is 12cm
The volume of the cylinder is324 п cm
The volume of the cylinder is1296 п cm
The area of the base of the cylinder is 81 п cm?
Answer:
The volume of the cylinder is324 п cm
The area of the base of the cylinder is 81 п cm
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = 18/2 = 9
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
n x (9^2) x 4 = 324n
Area of the base of the cylinder : Area of a circle = πr² = π x 9^2 = 81 π
please help meeee! this is my last one lol thank you!!!
Answer:
The answer is C
Step-by-step explanation:
2x + 4y
2 x 3 = 6
4 x 6 = 24
24 + 6 = 30
Answer:
30
Step-by-step explanation:
2x+4y
Let x=3 and y=6
2*3 +4*6
Multiply
6+24
Add
30
A major car dealership has several stores in a big city. The owner wants to determine if there is a difference in the proportion of SUVs that are sold at stores A and B. The owner gathers the sales records for each store from the past year. A random sample of 55 receipts from store A shows that 30 of the sales were for SUVs. Another random sample of 60 receipts from store B shows that 42 of the sales were for SUVs. Assuming conditions for inference are met, what is the 99% confidence interval for the difference in proportions of sales that are SUVs
Answer:
confidence interval = ( -0.38 , 0.08 )
Step-by-step explanation:
Given data :
n1 = 55 , n2 = 60 ,
Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55
P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70
The Z-value at 99% confidence Interval = 2.58
Determine the 99% confidence interval for difference in proportion
applying the formula below
( P1 - P2 ) ± Z ( [tex]\sqrt{p1( 1-p1)/n1 + p2(1-p2)/n2}[/tex]
Input values above into equation
confidence interval = ( -0.38 , 0.08 )
if the replacement set is the set of integers, find the solution set for the inequality:
x - 9 < -15
a){-8, -7, -6, ...}
b){-9, -8, -7,...}
c){......, -8, -7, -6}
d){....., -9, -8, -7}
Answer:
c. {....., -8, -7, -6}
Step-by-step explanation:
x - 9 < -15
x < -6
The value of x must be less than -6. From the set of values, the values less than -6 are -7, -8, -9.... The correct sets is {......,-8, -7, -6}
Given the inequality expression
x - 9 < -15
Add 9 to both sides
x - 9 + 9< -15 + 9
x + 0 < -15 + 9
x < -15 + 9
x < -6
Hence the value of x must be less than -6. From the set of values, the values less than -6 are -7, -8, -9.... The correct sets are {......,-8, -7, -6}
Learn more on inequality here: https://brainly.com/question/22354790
6. A man invested $16,000. He invested a portion at 6% and the balance at 8%. If he receives $260 every 3
months, how much did he invest at each rate?
1 =
Let p = money invested at 6%. _512000
16,000 - p = money invested at 8% $4,000.
3 1
yr (We need to express time in terms of years. 3 months is of a year.)
12
I = $260
Check
260 = p(0.06 yrs £ ¥r) + (16,000 – p(0.08/yr) ( 4 yr)
260 (2000)(0.0 Gdyncdys)*
(1500072,000.00.0Vgn Gray)
260=180+80
260:260
2602020157 0.02(163000 €)
200=0.05p+320 -0.010
260=390-0.005p
200-320 -0.005
-Go
0.005
0=12000
So I have already solved this problem but I don’t really understand how I solved it if anyone could help me I would really appreciate it!
If the interest for 3 months is $260, then the total interest for the year is 4 times $260 or $1040.
Let x = amount invested at one of the rates, say 6%. This leaves the rest of the $16,000 or (16000-x) to be invested at the other rate, at 8%.
The equation is basically that the interest earned for 1 year at 6% plus the interest earned for the year at 8% is equal to the total interest for the year, or $1040.
.06x + .08(16000-x) = 1040
.06x + .08(16000) - .08x = 1040
-.02x + 1280 = 1040
Subtract 1280 from each side:
-.02x = 1040 - 1280
-.02x = -240
To solve for x, divide both sides by -.02, remembering that a negative divided by a negative is a negative.
x = 240/.02
Either divide with a calculator, or multiply numerator and denominator by 100 to eliminate the decimal.
x = 24000/2 = $12000 at 6%
16000-x = 16000-12000 = $4000 at 8%
What is the first step in solving the following equation?
28 = -12 - 4x
Answer:
4x = - 12 - 28Step-by-step explanation:
When we transpose - 4x to the LHS then it becomes positive i.e +4x
Now we transpose 28 to the RHS then it becomes negative i.e - 28
So the first step you have to is,
4x = - 12 - 28
Someone please help me thank you
Answer:
Inequality Notation: x≥-4
Step-by-step explanation:
An inequality is a mathematical statement that compares two expressions using the ideas of greater than or less than.
Solve 5x+2≥−18.
Subtract 2 from both sides.
5x+2−2≥−18−2
5x≥−20
Divide both sides by 5.
[tex]\frac{5x}{5}[/tex]
x≥-4
Judy went shopping for school supplies. She bought a binder for $1.38, a pack of pencils for $2.05, and a box of erasers for $3.88. She paid with a $10-bill. How much change did Judy receive?
Answer:
The change received by Judy is $ 2.69.
Step-by-step explanation:
Bill paid = $ 10
Cost of binder = $ 1.38
Cost of pack of pencils = $ 2.05
Cost of box of erasers = $ 3.88
Total cost of the school supplies = $ 1.38 + $ 2.05 + $ 3.88 = $ 7.31
The amount of change Judy received = $ 10 - $ 7.31 = $ 2.69
please help with this question! will give thanks!!!
Answer:
I believe that the answer is 40 degrees.
Step-by-step explanation:
A central angles' measurement is the same measure of the intercepted arc
Give the Ratio for TAN X
Step-by-step explanation:
tanx = opposite / adjacent
helppppppppp meeeeeeeeeeeee
hurry
Answer:
9 feet im pretty sure
Step-by-step explanation:
Answer:
yolo
Step-by-step explanation:
If you bike 8 miles south and then 6 mlles east, what is the distance you are from your starting point?
Answer:
14 miles
Step-by-step explanation:
because this is just asking for distance and not displacement, we will just add up the raw numbers and call it a day.
Total distance = 8 + 6 = 14 miles
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
44.1
Step-by-step explanation:
Cosine = Adjacent over Hypotenuse
Adjacent of ∠T = 28 and hypotenuse = 39
Which means that [tex]cos(x)=\frac{28}{39}[/tex]
Now we solve for x
To get rid of the "cos" we take the inverse of cos ( which is [tex]cos^-^1[/tex] ) and apply it to each side
[tex]cos^-^1((cos)x) = x\\cos^-^1(\frac{28}{39} )=44.11461855[/tex]
We're left with x = 44.11461855
Our last step is to round to the nearest tenth and we get that the answer is 44.1
what is the y intercept of y= -1/4 - 5
Answer:
-5
Step-by-step explanation:
Please help explain to me!
Which multiplication equation can be used to solve 1/6 ÷ 5?
Answer:
1/6 x 1/5 = multiplication equation
Marie flips a fair coin three times. What is the probability that the coin lands on tails all three times? A. 1/2 B. 1/4 C. 1/6 D. 1/8
Answer:
I found the answer on this website. It seems correct! Link Below!
Step-by-step explanation
fractions.com/shirynsanswers/odben
Answer:
1/2
Step-by-step explanation:
Tell whether the two rates form a proportion.
5. 55 miles in 1 hour; 450 miles in 8 hours
The vertices of a figure are given. Rotate the fig
of the image.
A(2,-2), B(4, -1), C(4, -3), D(2,-4)
90° counterclockwise about the origin
Whats the coordinates
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
A (2, - 2 ) → A' (2, 2 )
B (4, - 1 ) → B' (1, 4 )
C (4, - 3 ) → C' (3, 4 )
D (2, - 4 ) → D' (4, 2 )
A team of students is designing a new game to help their class review for a science test. They will make a rolling cube with a side length of 7 cm as part of the game.
A cube has side lengths of 7 centimeters.
How much material will they need to make the rolling cube?
49 square cm
138 square cm
294 square cm
307 square cm
Answer:
C (294)Step-by-step explanation:
Took the test :)
Identify each table as exponential growth or decay.
PLEASE HELP! WILL MARK BRAINLIEST:)))
Acellus
Find the center and radius of this
circle:
(x + 9)2+(y – 6)2= 25
Center = ([ ? ],[])
a
Radius = []
Answer:
Center= (-9,6) Radius=5
Step-by-step explanation:
correct answer:
( x + 9 ) ² + ( y - 6 ) ² = 25
center = ( -9, 6 )
radius = 5
equations:
we know from the given equation that the center would be (-9, 6) because we have to plug into the equation; ( x – h ) ² + ( y – k ) ² = radius²
how to find the center coordinates:
if youre confused on how we got the -9, by using the negative addition rules:
x - (-9) we can simplify that to ( x + 9 ) like shown above so that how we got -9. It's a little easier to find the 6 because its just x - 6 so we dont have to simplify anything its just 6.
how to find the radius:
the radius is a little more difficult to find, but, since we are given 25, we can just type the square root of 25 (√25) which would be 5!
thats it!! hope this helps<3
What is an equation of the line that passes through the point (2,−5) and is parallel to the line 6x+y=6
Answer:
[tex]y=-6x+7[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slopes and different y-intercepts1) Determine the slope (m)
[tex]6x+y=6[/tex]
Rewrite this in slope-intercept form (to help us find the slope)
Subtract 6x from both sides
[tex]6x+y-6x=-6x+6\\y=-6x+6[/tex]
Now, we can identify clearly that the slope of this line is -6. Because parallel lines always have the same slopes, -6 will therefore be the slope of the line we're solving for. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-6x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-6x+b[/tex]
Plug in the given point (2,−5) and isolate b
[tex]-5=-6(2)+b\\-5=-12+b[/tex]
Add 12 to both sides
[tex]-5+12=-12+b+12\\7=b[/tex]
Therefore, the y-intercept is 7. Plug this back into [tex]y=-6x+b[/tex]:
[tex]y=-6x+7[/tex]
I hope this helps!
What are the rules to remember while working with Proportional Relationships?
Answer:
Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x ." This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.
Step-by-step explanation:
can someone please help me with this?? im trying to correct answers and i need help
Line CB is tangent to circle A at point B. The measure of angle CBA is ___ degrees.
Answer:
90° is correct answer. :)
