Answer: pretty sure
There were 108 children and 175 adults.
Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When the contestant picks a box, the chance of each box type for this round is as follows:
Type A: 75%, Type B: 20%, and Type C: 5%
The chance of drawing a red marble from Type A is 2%, from Type B is 25%, and from Type C is 98%.
The contestant selects a box and draws a marble. What is the chance of drawing a red marble? (Give the exact decimal answer.)
If the contestant does draw a red marble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places.)
Answer:
0.114
0.049
Step-by-step explanation:
For the boxes:
Type A - 75% = 0.75
Type B - 20% = 0.2
Type C - 5% = 0.05
For the marbles in each box:
Type A - 2% = 0.02
Type B - 20% = 0.25
Type C - 98% = 0.98
Then you can multiply the chance of drawing each box by the chance of drawing a red marble from that box and add all of those together:
0.75 * 0.02 + 0.2 * 0.25 + 0.05 * 0.98
= 0.015 + 0.05 + 0.049
= 0.114
The specific chance for box Type C is 0.05 * 0.98 = 0.049
Solve the proportion 2x+3/3 = 9/27
Answer:
-0.3333333333
Step-by-step explanation:
Write as an expression and solve (show your work)
One fourth the difference between 21 and 5
Answer:hiii
Step-by-step explanatio
5% of a number is 23
Answer:
460
Step-by-step explanation:
5%(calculated %)of what number equals 23?
Answer is 460
I hope it's helpful!
460 is the answer of the question
the water supplied by a pump fills a drum of 200 liters in 20 seconds. what is the flow rate of this pump
Step-by-step explanation:
Water filled in 20 second = 200 liters
Water filled in 1 second = 200 / 20 = 10 liters
The flow rate of the pump is 10 liters per second.
Hope it will help :)
Based on the water the pump supplies in 20 seconds, we can find that the flow rate of the pump is 10 liters per second.
The flow rate is essentially the amount of water the pump supplies per unit amount of time which in this case is seconds.
It can be calculated as:
= Amount of water supplied / Time supplied
= 200 / 20
= 10 liters per second
In conclusion, the pump has a flow rate of 10 liters per second.
Find out more at https://brainly.com/question/21630006.
x^2 - 2x factorise fully
Answer:
(x-2)*x
Step-by-step explanation:
[tex]x^{2}-2x[/tex]
its maximum common divisor is x
[tex]\frac{x^{2}-2x }{x}[/tex]
[tex](x-2)*x[/tex]
Maureen filled a bucket with 5/8 of a gallon of water. 1/4 gallon remained how much leaked
Answer:
3/8 leaked,
Step-by-step explanation:
5/8 - 1/4 = 3/8.
Which method do you prefer for solving the equation 2^x=16? Explain.
Answer:
I'd just ask ma.th wa.y but...Yhea
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for
x
Step-by-step explanation:
step 1. 2^x = 16
step 2. ln(2^x) = ln16
step 3. xln2 = ln16
step 4. x = ln16/ln2 = 4ln2/ln2 = 4.
step 5. The method I prefer is using logarithms.
how many terms of arithmetic sequence 3;11;19.... will add up to 1580
Answer:1.58
Step-by-step explanation:
The number of terms in the sequence will be 20 adds up to 1580.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The arithmetic sequence is given in the question, as follows:
3; 11; 19....
We have to determine the number of terms of the sequence will add up to 1580
The sum of an arithmetic sequence is the sum of the first n terms of the sequence as
Sₙ = n/2(2a+(n−1)d)
In arithmetic, here a₁ is the first term and sequence d represents the common difference.
As per the question,
d = 11 - 3 = 8, a = 2 and S = 1580
Substitute the known values in the formula, and solve for n
1580 = n/2(2x3+(n-1)8)
1580 x 2 = n(6 + 8n - 8)
Solving the above equation, we get
n = 20, and -79/4
Thus, the number of terms in the sequence will 20.
Learn more about arithmetic sequence here:
brainly.com/question/21961097
#SPJ2
The median of the data 78,56,22,34,45,56,39,68,54,84 is____
Answer:
22,34,39,45,54,56,56,68,78,84
Answer: 54,56
Step-by-step explanation:
Since 54 and 56 are in the middle,
In order to find the median you need to arrange the following numbers in ascending order and identify the number in the middle of the order.
Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?
A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0
Answer:
B.
H0 : PA - PB = 0
Ha : PA - PB > = 0
Step-by-step explanation:
The Null hypothesis refers to the initial truth in which of there is no significant evidence provided by statistical analysis will remain ; else, the alternative hypothesis which is the opposite of the Null will be favored in place of the Null.
In the scenario above, the claim by the researcher, that "the proportion of the population of polydactyl cats in region A is greater than the proportion in region B." is the Alternative hypothesis ; Ha : PA - PB > = 0 while the Null will be of the notion that the proportion of polydactyl cats in region A and region B are the same.
46.8 divided by 39 equals what
Answer:
1.2
Step-by-step explanation:
39 is what percent of 82
Answer:
47.5%
Step-by-step explanation:
39/82 = .475 = 47.5%
Answer:
39 is 47.56% of 82
Step-by-step explanation:
82 is 100% since it is our output value.
divide 39 by 82 to get the answer in decimal form:
39 / 82 = 0.4756
Then multiplied the answer from the first step by one hundred to get the answer as a percentage
0.4756 * 100 = 47.56%
Solve for x please help
Step-by-step explanation:
4x + 2 + 3x + 3 = 180 (straight angle)
4x + 3x + 2 + 3 = 180
7x + 5 = 180
7x = 175
x = 25°
(p+1)x^(2)+(5p-3)x+2p=-3
Answer:
3.
Step-by-step explanati
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
Answer: The Numbers are 15 and 39
Step-by-step explanation: 2(15) + 9 = 39
What is the equation of the function that is graphed as line b?
YA
D.
5
Oy=2x+1
O y=-4x
Answer:
C
Step-by-step explanation:
so taking the slope from the points (0,1) and (2,2)
we get slope= 2-1/2-0=1/2 the y intercept is one
so y=mx+b(where m is the slope and b is the y intercept)
we get= y=1/2x+1
which is C
if my answer helps please mark as brainliest.
Amy runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
miles
Х
Answer:
10.5miles
Step-by-step explanation:
What is the solution to the system of equations? 3x - 6y = - 12 x - 2y = - 8 Use the substitution method to justify that the given system of equations has no solution.
Answer:
There is no solution to this system.
Step-by-step explanation:
The left side of the first equation is 3 times the left side of the second one.
If we multiply the whole of the second equation by 3 we get:
3x - 6y = -16.
As the first equation is 3x - 6y = -12 we see that there is no solution to this system. 3x - 6y can't be equal to -12 and -16.
Oof please help me with geometry
Answer:
as it a cyclic quadrilateral
its opposite sides sum be 180
z/2+z/4+30=180
2z+z/4=150
3z/4=150...z=200
angles...
b=z/2=200/2=100
d=80
e=200-59=141
c=180-141=39
Please tell me the answer to this. Very easy points if you ask me.
x + 8x = ?
x + 8x = 9x
(like 1 + 8 but with x's)
Ryan's unpaid credit card balance was $1853.68. His APR is 24.9%. What is his new balance after he makes one new transaction for $178?
Answer: 2070.14
Step-by-step explanation:
Slide the decimal for 24.9 and get 0.249
1853.68 × 0.249 ÷ 12 = $38.46
you have 0.249 as the monthly rate which means dividing it by 12 is a key to your answer
$1853.68 +38.46 + 178.00 = $2070.14
can someone plz help me out
Step-by-step explanation:
A drought is an event of prolonged shortages in the water supply, whether atmospheric, surface water or ground water. A drought can last for months or years, or may be declared after as few as 15 days.
Fill in the blank
In the expression 7+(2x6), the term (2x6) is the _ of two _ 2 and 6.
words to fill the blank
-power
-sum
-different
-ratio
-base
-coefficient
-factors
-product
-variable
-terms
-quotient
Answer:
..................................................................................
Step-by-step explanation:
hahaahahah
4(9x + 7) + 6(8 - x)
Answer:
2(15x+38) and if you simplify it it is 30x+76
Step-by-step explanation:
nicolas quiere pavimentar el patio rectangular de su nueva casa el patio mide 5,25 m de largo y 3 m dd ancho y necesita 81 baldosas por metro cuadrado ¿cuantas baldosas nesesita nicolas para pavimentar todo el patio ? ¿porque?
Answer: Me gusta bailar y dibujar
Step-by-step explanation:
Write 8 and 1/3 % as a fraction in simplified form.
Answer:
as a fraction i believe it would be 25/3, but correct me if im wrong :)
9. Convert to fractions and write in simplest form.
A) 0.02
B) 12%
C) 0.5%
D) 1.12
Answer:
A) 1/50
B) 6/5
C) 1/2
D) 28/25
In a randomly generated list of numbers from 0 to 8, what is the chance that
each number will occur?
O A 1/8
O B. 1/7
OC. 1/6
O D 1/9
Answer:
D) 1/9
Step-by-step explanation:
An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily average revenue of $625. If you were to test the null hypothesis that the daily average revenue was $675 with a level of significance level of 0.01. Which test would you use and why?
a. Z-test of a population mean.
b. T-test of population mean.
c. Z-test of population proportion.
d. t-test of a population proportion
Answer:
a. Z-test of a population mean.
Step-by-step explanation:
The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.
This means that we have a large sample, which means that we can consider this to be the standard deviation for the population, which eliminates the t-test, leaving options a and c.
Population mean or proportion?
Mean, as a proportion is a value between 0 and 1, while average revenue may have lots of possible values. So the answer is given by option A.