Answer:
a) If Chloe is not happy at 6pm, the probability that she has not had dinner yet =P(B/D)= 0.8
b) If Chloe is happy at 6pm,the probability that she has already had dinner= P(A/C) = 0.9
Step-by-step explanation:
Let A be an event that Chloe is happy given that she has had dinner by 6pm
P(A) = 0.9
Let B be an event that Chloe is not happy given that she has not had dinner by 6pm
P(B) = 0.8.
Let C be an event that Chloe eats dinner by 6pm on a given day
P(C) = 60%=0.6
Let D be an event that Chloe does not eat dinner by 6pm on a given day
P(D) = 1- 60%=1- 0.6= 0.4
This requires conditional probability .
Part a
P(B/D)=P(B∩D)/P(D)
P(B∩D) = 0.8 *0.4=0.32
P(D) = 0.4
P(B/D)=P(B∩D)/P(D)
= 0.32/0.4= 0.8
P(B)= P(B/D)
0.8 is equal to 0.8
This shows that the events are independent.
b)
P(A/C)= P(A∩C)/ P (C) = 0.9*0.6/0.6= 0.9
Which is again equal to probability of event A showing that the events are independent.
Brian planted 6 rows of tulip bulbs with 5 bulbs in each row. This is 3 times as many bulbs as Ester planted. How many bulbs did Ester plant?
An eastern airport has recorded a monthly average of five near misses of landings and takeoffs in the past 5 years. We assume that the distribution of this number is Poisson. a. Find the probability that during a given month there are no near misses on landings and takeoffs at the airport. b. Find the probability that during a given month there are five near misses. c. Find the probability that there are at least five near misses during a particular month.
Answer:
The answer to this question can be defined as follows:
In option a "0.0067".
In option b "0.1755".
In option c "0.5595".
Step-by-step explanation:
It is about the distribution of Poisson:
[tex]\lambda = 5 (rate)[/tex]
t = 1
The formula for calculating Mean:
[tex]\to \mu = \lambda \times t[/tex]
[tex]\to P(X=x) = \frac{e^{-\mu} \mu^{x}}{x!}[/tex]
calculate the value of Mean:
[tex]\to \mu =5 \times 1\\\\ \to \mu= 5[/tex]
In point a:
When the value of x is equal to 0:
[tex]\to P(X = 0) = \frac{e^{-5} 5^{0}}{0!}[/tex]
[tex]= \frac{e^{-5} \times 1 }{0}\\\\ = 0.0067 \times 1 \\\\ = 0.0067[/tex]
In point b:
When the value of x is equal to 5:
[tex]\to P(X = 0) = \frac{e^{-5} 5^{5}}{5!}[/tex]
[tex]= \frac{e^{-5} \times 3125 }{120}\\\\ = \frac{0.0067 \times 3125}{120} \\\\ = \frac{21.0560}{120}\\\\ =0.1754 \\\\[/tex]
In point c:
When the value of x is equal to 5:
[tex]\to P(X \ge 5) = 1 - P(X < 5) \\\\ \to P(X \ge 5) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4) \\\\ \to P(X \ge 5) = 0.5595[/tex]
Is this relation a function?
A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.
Answer:
40/4 shaded in squares
Step-by-step explanation:
for 0.4, since 100 is a whole, multiply by 100.
0.4*100=40
shade in 40 squares
for 0.04, multiply by 100
0.04*100=4
shade in 4 squares
Help me ASAP plssssssssssssssss
Answer: it’s B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What percent of 86 is 50 to the nearest whole percent
Answer:
58%
Step-by-step explanation:
50/86 is approximately equal to 0.58, and when you convert that into percentage you get 58%
If m∠1= (7x –19)°, and m∠2 = (x + 5)°, find m∠2.
Given :
∠m1 = ( 7x - 19 )° .
∠m2 = ( x + 5 )° .
To Find :
The value of x .
Solution :
Since , relation between angle ∠m1 and ∠m2 is not given .
Let , us assume that sum of ∠m1 and ∠m2 is 180° .
So ,
[tex](7x-19)+(x+5)=180^{\circ}\\\\8x-14=180\\\\8x=194\\\\x=24.25^{o}[/tex]
Angle ∠m2 = (24.25 + 5 )° = 29.25° .
Therefore , ∠m2 = 29.25° .
Hence , this is the required solution .
Answer:
Given :
∠m1 = ( 7x - 19 )° .
∠m2 = ( x + 5 )° .
To Find :
The value of x .
Solution :
Since , relation between angle ∠m1 and ∠m2 is not given .
Let , us assume that sum of ∠m1 and ∠m2 is 180° .
So ,
Angle ∠m2 = (24.25 + 5 )° = 29.25° .
Therefore , ∠m2 = 29.25° .
Hence , this is the required solution .
Step-by-step explanation:
what is 3/5 times 9/7
Answer:
[tex] \frac{27}{35} \\ [/tex]
Step-by-step explanation:
If you are going to multiply fractions, you just going to multiply their numerators and denominators and simplify when needed.
[tex] \frac{3}{5} \times \frac{9}{7} \\ \frac{3 \times 9}{5 \times 7} \\ \frac{27}{35} [/tex]
Joan has $5,000 in her savings account.
She takes out $200 per week. In how
many weeks will it take Joan to deplete
her savings account?
Answer:
Step-by-step explanation:
25
5,000 divided by 200
Evaluate 7m+2n-8p/n m=4, n=2, and p=1.5 please help me
Answer:
10
Step-by-step explanation:
7(4)+2(2)-8(1.5)/2
28+4-12/2
20/2
10
7m+2n-8p/n
7(4)+2(2)-8(1.5)/2
28+4-12/2
28+4-6
32-6=26
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 16, negative 2, 0, 6, 0, negative 2.
–4
–3
–2
–1
Answer:
The Answer is (-1,0)
I Don't really know how to explain.
You're Welcome!
The graph of the coordinates is plotted and attached.
What is a Graph?
A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
We have the following table -
[x] f(x)
- 4 16
- 3 -2
- 2 0
- 1 6
0 0
1 -2
The given table represents the coordinates -
(- 4, 16) , (- 3, - 2), ( - 2, 0) , ( - 1, 6) , (0, 0) , (1, - 2)
The graph of the coordinates is plotted and attached.
Therefore, the graph of the coordinates is plotted and attached.
To solve more questions on Graphs, visit the link below -
brainly.com/question/17230119
#SPJ2
what is the value of x
Answer:
X=70
Step-by-step explanation:
Interior angles of parallel line sum up to be 180° so:
45+(2x-5)=180
45+2x=185
2x=140
x=70
In a paint store you’re mixing paint for a larger order. Paint requires mixture of 75% base 25% color. How many gallons of base should you mix for 4 gallons of color ?
If you used the input value 12 in the function y=2x,what would be the output value
Answer:
24
Step-by-step explanation:
If you put 12 in for x, you would get y=2*12 and 2 times 12 is 24. I hope this helps :)
Which description is correct for the polynomial 4x2+3x−2?
quartic trinomial
cubic binomial
quadratic trinomial
cubic trinomial
Answer:
Step-by-step explanation:
quadratic trinomial, because the highest degree of x is 2 and the expression has 3 terms.
find the probability that there are no H when a fair coin is flipped three times.
(round the answer to 4 decimal points)
Step-by-step explanation:
Probability of heads is 1/2, and the probability of tails is 1/2. The probability of getting no heads (3 tails) is:
P = (1/2)³
P = 1/8
P = 0.1250
yolandaa sunflower is 12 centimeters more than jean sunflower yolanda sunflower is 75 centimeters tall. how tall is jeans sunflower?
Answer:
63 centimeters
Step-by-step explanation:
Answer: 63 cm tall.
Step-by-step explanation: Yolanda's sunflower is 12 cm more than Jean's sunflower. Yolanda's sunflower is 75cm. To find Jean's sunflower's size in cm simply subtract 12 cm from 75 cm.
75 = 12 = 63
So, Jean's sunflower is 63 centimeters tall.
1. Simplify (–6x2 + x – 5) + (9x2 – 3x+6).
Answer:
= 7-2x. is the answer :p
Which phrase is equivalent to “Franco must work a minimum of 32 hours”? The number of hours Franco works must be less than 32. The number of hours Franco works must be greater than 32. The number of hours Franco works must be less than or equal to 32. The number of hours Franco works must be greater than or equal to 32.
Answer:
The number of hours Franco works must be greater than or equal to 32.
Step-by-step explanation:
The number of hours Franco works is greater than or equal to 32. Then the correct option is D.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
The statement is given below.
“Franco must work a minimum of 32 hours”
Let x be the number of hours France works.
According to the statement, the inequality equation will be given as
x ≥ 32
The number of hours Franco works is greater than or equal to 32.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
This summer Paige’s town will be hosting a series of 9 concerts. There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200. If x and y represent the number of tickets Paige purchased for the 2 types of seats, which system of inequalities could Paige use to model this situation?
Answer:
d) x ≥0
y ≥ 0
x + y ≥ 5
29.5x + 43y ≤ 200
Step-by-step explanation:
If x and y represent the number of tickets Paige purchased for the 2 types of seats.
Paige would like to attend at least 5 concerts.
This means, Paige would like to attend 5 or more concerts
Hence, the Inequality =
x ≥0
y ≥ 0
x + y ≥ 5
Also, we are told in the question that:
There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to spend no more than $200.
This means Paige was to spend less than or equal to $200
Therefore, the Inequality equation is:
29.5x + 43y ≤ 200
Therefore, the system of inequalities could Paige use to model this situation is option D
x ≥0
y ≥ 0
x + y ≥ 5
29.5x + 43y ≤ 200
Answer:
d) x ≥0
y ≥ 0
x + y ≥ 5
29.5x + 43y ≤ 200
Step-by-step explanation:
One base of a trapezoid measures 12 meters, and the other base measures
8 meters. If the area is 144 square meters, what is the height of the
trapezoid?
[tex]Area=\frac{(a + b)}{2} \cdot h\\144 = \frac{(12 + 8)}{2} \cdot h\\144 = \frac{20}{2} \cdot h\\144 = 10h\\h = \frac{144}{10} = \frac{72}{5}[/tex]
What is the value of the 3 in 513
Answer:
3
Step-by-step explanation:
513 = 500 + 10 + 3
The 5 is worth 500.
The 1 is worth 10.
And the 3 is worth 3 !
Answer:
The value of 3 in 513 is the ones place.
Step-by-step explanation:
Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Chemistry, Psychology, Math, History}, B = {Drama, English, French, Math, History}, and C = {Physics, Psychology, French}. Find the following. n(B ∪ C)
Drama, English, French, Math, History, Physics, Psychology
Ava is 23cm taller than Olivia, and Olivia is half the height of Lucas. If Lucas is is 1.78m tall, how tall is Ava and Olivia?
Answer:
Ava = 1.12 m tall
Olivia = 0.89 m tall
Step-by-step explanation:
given;
Ava is 23cm taller then Olivia,
Olivia is half the height of Lucas.
If Lucas is 1.78m tall
find:
how tall are Ava and Olivia
-------------------------------------
Ava = Olivia + 0.23
Olivia = Lucas / 2
Lucas = 1.78
plugin values into the equation above
Olivia = 1.78 / 2
Olivia = 0.89 m tall
Ava = 0.89 + 0.23
Ava = 1.12 m tall
After a 90% reduction, you purchase a new soft drink machine on sale for $64. What was the original price of the soft drink machine?
Answer:
$640
Step-by-step explanation:
Let [tex]x[/tex] equal the original price of the machine.
We know that $64 is 10% of [tex]x[/tex] because $64 is left of [tex]x[/tex] after the 90% reduction.
Set up an equation:
[tex].10x=64[/tex]
Divide by the coefficient of [tex]x[/tex], which in this case is [tex].10[/tex]
[tex]x=640[/tex]
Convert 30 pages/hour to pages/day.
Translate the following word phrase into an algebraic expression: nine times the difference of 5 and y.
Hey there! I'm happy to help!
Difference means that you subtract.
5-y
And we multiply this entire thing by 9, giving us 9(5-y).
Have a wonderful day! :D
What is the value of AB?
Answer:
use the pythogoras thoerem making aright angled traingle
and multiply the result by 2
ab = 2*8 =16
Step-by-step explanation:
Heidi Muir, a sporting goods wholesaler, purchased goods from a supplier for $3,400. The
supplier offers a 3% discount if the invoice is paid within 10 days; if not paid within 10 days, the
full amount must be paid within 30 days of the invoice date. Use the formula to find the annual
rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount
period
Answer:
56.44%
Step-by-step explanation:
From the question, we have the following values
% Discount = 3%
Full allowed payment days = 30 days
Discount days = 10 days
1 year = 365 days
The formula for Effective Annual rate or Annual rate in effect =
Discount %/(1-Discount %) x (365 days/(Full allowed payment days - Discount days))
= 3%/(1 - 3%) × (365 days/30 days - 10 days)
= 0.03/(1 - 0.03) × (365/20)
= 0.03/0.97 × (365/20)
= 0.5644329897
Converting to percentage
0.5644329897 × 100
= 56.44329897%
Approximately = 56.44%
Therefore, the annual rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount period is 56.44%
−9 1 /6 + 7 help thanks ;)
Hey there!
ANSWER: [tex]-2\frac{1}{6}[/tex]EXPLANATION:[tex]-9\frac{1}{6}+7[/tex]
After that, multiply the whole number by the denominator and then add the numerator after you multiply.
[tex]-\frac{55}{6}+1[/tex]
[tex]9*6=54+1=55[/tex]
Now add the negative sign to 55.
[tex]\frac{-55}{6}+7[/tex]
[tex]\frac{-13}{6}[/tex]
Now simplify.
[tex]\frac{-13}{6}=-2\frac{1}{6}[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]