Answer:
47
Step-by-step explanation:
All you need to do to get the answer is
19 + 28 = 47
The probability of dry weather (D) = 1⁄2, rain (R) = 1⁄3 and snow (S) = 1⁄6
If it is dry the probability that someone will arrive on time is 4
/5.
If it rains the probability that someone will arrive on time is 2
/5.
If it snows the probability that someone will arrive on time is 1
/10.
Calculate the probability that somebody is late.
=============================================================
Explanation:
Define the following events
D = weather is dryR = weather is rainyS = weather is snowyL = person is lateT = person is on timeWe are given the following probabilities
P(D) = 1/2P(R) = 1/3P(S) = 1/6Then we're further told that "if it is dry, then the probability someone will arrive on time is 4/5". We can condense that into the notation
P(T given D) = 4/5
The "given D" means that we know 100% that event D has occurred. So we're seeing how event T behaves because of D occurring. In other words P(T given D) is the same as saying "What is P(T) when we know D has happened?"
-------------------------
The instructions also mention that "If it rains, the probability someone is on time is 2/5" tells us we have the notation
P(T given R) = 2/5
And also, the probability someone is on time if it is snowy is
P(T given S) = 1/10
due to it saying "If it snows, the probability that someone will arrive on time is 1/10".
-------------------------
To recap so far, your teacher told you these three conditional probabilities
P(T given D) = 4/5P(T given R) = 2/5P(T given S) = 1/10They are conditional due to the "given" as part of the probability. They depend on the given event happening.
Subtract each fraction from 1 and we end up with these complementary probabilities
P(L given D) = 1/5P(L given R) = 3/5P(L given S) = 9/10I'm using the idea that P(A)+P(B) = 1, where A and B are complementary events. One or the other event must happen. Either you are on time, or you are late.
---------------------------
Recall the conditional probability formula is
P(A given B) = P(A and B)/P(B)
which rearranges to
P(A and B) = P(A given B)*P(B)
We'll use this idea to get the following
P(L and D) = P(L given D)*P(D) = (1/5)*(1/2) = 1/10P(L and R) = P(L given R)*P(R) = (3/5)*(1/3) = 1/5P(L and S) = P(L given S)*P(S) = (9/10)*(1/6) = 3/20This means,
P(L) = P(L and D) + P(L and R) + P(L and S) ..... law of total probability
P(L) = 1/10 + 1/5 + 3/20
P(L) = 2/20 + 4/20 + 3/20
P(L) = (2+4+3)/20
P(L) = 9/20 is the probability someone is late
X-y=4
4x+y=1 if you answer correctly I will give you Brainlist
Answer:
−
=
4
4
+
=
1
Step-by-step explanation:
How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?
Answer: 24
Step-by-step explanation: A standard cube has 6 sides. The spinner has 4 sections. For any section of the spinner you land on, you can land on one of 6 sides of the dice.
4*6
Solve for x.
I need help on this
Answer:
x = 7
Step-by-step explanation:
2(x + 2) = 3x - 3
2x + 4 = 3x -3
x = 7
If two angles are supplementary, their sum equals
A)
45°
B)
90°
180°
D)
360°
Answer:
180°
Step-by-step explanation:
Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.
Hope it is helpful....36 is what percent of 247
i need help really bad because this is confusing
In hopes of encouraging healthier snacks at school, Janice brought in a tray 1 point
of carrot sticks and apple slices to share. She brought 76 snacks in all. 19 of
the snacks were carrot sticks. What percentage of the snacks were carrot
sticks?
Answer:
57%
Step-by-step explanation: Well, subtract 76 - 19 = 57. 57 of 100 = 57/100
57/100 = 57%
Tony owes Tina 40p.
Then Tina borrows 50p from Tony.
Later Tony gives Tina 60p.
Who has to pay what to whom to
square things up?
nswer
I need to answer this challenge
can someone answer my question????i need help i’m already failing i’ll give brainlist and points:/
find x to the nearest tenth
You want to order some T-shirts that cost $14 each. Shipping is $7 per order. If you
buy 11 T-shirts, what will the order cost?
$231
$154
$161
$91
What One Doesn't Belong?
y=4x
y=x+7
y=-2x+4
y=3x-1
Answer and Step-by-step explanation:
The equation y = -2x + 4 does NOT belong.
This equation has a negative slope, while the other equations have a positive slope.
#teamtrees #PAW (Plant And Water)
Find the exact value of x
Factorizar
1. (a+ b)^3 − 27
2. 2x^2+7x+3
Answer:
1) (a+b) = 3
2) (2x+1)(x+3)
Step-by-step explanation:
Can you guys please help me i dont understand
file:///C:/Users/home/Desktop/Downloads/Ch%207.5%20Notes%20Writing%20and%20Graphing%20Inequalities.pdf
Answer:
It tells the anwser for some questions.
Step-by-step explanation:
Please help due today right now
Answer:
Find "f(6)" __-8__
Find x when "f(x)=2" __x=1__
Step-by-step explanation:
For the first part, we will substitute 6 into the f(x) to get "-2(6)+4" When simplified further, you get "-12+4" which is "-8"
For the second part we will substitute the two as the answer of f(x) "-2x+4=2" Simplifying this further we get "-2x=-2" This means that x=1
What is 2,117 rounded to the nearest hundred?
Answer:
2,100
Step-by-step explanation:
what is -2 to the 8th power
Answer:
-256
Step-by-step explanation:
Put a negative next to 2^8 and you'll get your answer.
The evening low temperature in New York in the month of February was -7°F. The following day, the
temperature rose to a high of 25°F. What was the change in temperature that day?
Answer:
32°F
Step-by-step explanation:
Given that,
The low temperature in New York in the month of February was -7°F. The following day, the the temperature rose to a high of 25°F.
We need to find the change in temperature that day.
Change = final temperature - initial temperatur
Change = 25°F - (-7°F)
= 25 +7
= 32°F
so, the required change in temperature is 32°F.
write the following ratio in its simplest for 64:18
Answer:
32 : 9
Step-by-step explanation:
To write a ratio in its simplest form , the numerator and denominator should be reduced by their common factor(s).
64 = 2 × 2 × 2 × 2 × 2 × 2
18 = 2 × 3 × 3
⇒ Common factor of 64 & 18 is 2.
So , reducing 64 & 18 by 2 gives :-
[tex]\frac{64 \div 2}{18 \div 2} = \frac{32}{9}[/tex]
∴ Hence , the simplest form is 32 : 9.
-1 -10 - 3) - 50 - 9a
-1 -1 0= -11 -3=--14-50=-64
Answer:
-64-9a
Step-by-step explanation:
(✿◡‿◡)╰（‵□′）╯
Over the past few years Donald made 40 trips to the amusement park. He drove 400 km in all. The distance travelled by him on each trip to the park is:
Answer:
10
Step-by-step explanation:
Answer:
10 km
Step-by-step explanation:
total no of km covered=400
total no of trips=40
distance in each trip= 400/40
=10km
sarah started the school year with 14 drawings in her notebook and draws 5 more each day. whats the linear equation?
Answer:
y = 5x + 14
Step-by-step explanation:
Let x = number of day and y = number of drawings.
She draws 5 drawings per day, so in x days, she draws 5x drawings.
She started with 14 drawings, so the total number of drawings in any day, x, is
5x + 14.
The equation is
y = 5x + 14
Carlos needs 2/3 cups of raisins to make one batch of oatmeal bars. How many cups of raisins does Carlos need to makes batches of oatmeal bars? Select the correct answer.
Answer: 2²/₃ cups of raisins.
Step-by-step explanation:
Question wants to know the number of cups needed for 4 batches of oatmeal bars.
Each batch needs 2/3 cups of raisins to make.
If there are 4 batches to be made therefore, one must multiple the 2/3 cups to make one batch by 4 to find out the number needed to make 4 batches.
= 2/3 * 4
= 8/3
= 2²/₃ cups of raisins.
What does w equal?pls help me
Answer:
-9/2
Step-by-step explanation:
Hope this helps
sorry if it’s wrong
Triangle FGH, with vertices F (4, -8), G (9,-4) and H (2,-3) is drawn inside a rectangle, show below. Please answer correctly !!!! Will be marking Brianliest !!
URGENT !!!!!!!!!!!!!!!!
Answer:
Area=33/2
Step-by-step explanation:
Jenna did 5 sit-ups on Saturday, 7 sit-ups on Sunday, 10 sit-ups on Monday, 14 sit-ups on Tuesday, and 19 sit-ups on Wednesday. If this pattern continues, how many sit-ups will Jenna do on Thursday?
can someone help me plz
Answer:
nose lo que dice.....pero puedo tener esos 5 puntos......perdób
Need help because i can’t seem to figure it out
9514 1404 393
Answer:
y -10 = 1/8(x +8)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have m = 1/8, and (h, k) = (-8, 10).
Putting those numbers in the form gives ...
y -10 = 1/8(x -(-8))
You can simplify the double minus sign so you have ...
y -10 = 1/8(x +8)
_____
Additional comment
A lot of math is about matching patterns and making substitutions. This is a good example of that.