Answer:
1/10
Step-by-step explanation:
There are 6 marbles in the bag. 3 out of 6 are green.
3/6 = 1/2
So, he has a 1/2 of picking a green marble.
After getting a green marble, Joe doesn’t replace it meaning there are now only 5 marbles in the bag.
Since there’s one red marble in the bag the chance of trying one is 1/5.
Now to find the chance or drawing a green and red marble you need to do the equation:
1/2 x 1/5
This equals 1/10.
The probability is 1/10
Find the area of the figure. HELP PLZ
Answer: 1075 sq. ft
Step-by-step explanation:
A = length times width
First split the shape into two rectangles
Area of rec 1 = 25 times 8 = 200
Area of rec 2 = 35 times 25 = 875
200+875 = 1075 sq. ft
The packing machine is set to fill a cardboard box with a mean of 16.1 ounces of cereal. Suppose the amounts per box form a normal distribution with a standard deviation equal to 0.04 ounce.
(a) What is the probability of the boxes will end up with at least 1 pound of cereal?
(b) The seventy percent of the boxes will contain less than what number of ounces?
(c) Eighty percent of the boxes will contain more than what number of ounces?
(d) The middle 90% of the boxes will be between what two weights?
Answer:
a) 0.9938 = 99.38% probability that the boxes will end up with at least 1 pound of cereal
b) 16.121 ounces.
c) 16.0664 ounces.
d) Between 16.0342 and 16.1658 ounces.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 16.1 ounces, standard deviation of 0.04 ounces. So
[tex]\mu = 16.1, \sigma = 0.04[/tex]
(a) What is the probability of the boxes will end up with at least 1 pound of cereal?
One pound is 16 ounces, so this is 1 subtracted by the pvalue of Z when X = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 16.1}{0.04}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
1 - 0.0062 = 0.9938
0.9938 = 99.38% probability that the boxes will end up with at least 1 pound of cereal.
(b) The seventy percent of the boxes will contain less than what number of ounces?
Less than the 70th percentile, which is X when Z has a pvalue of 0.7. So X when Z = 0.525.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.525 = \frac{X - 16.1}{0.04}[/tex]
[tex]X - 16.1 = 0.525*0.04[/tex]
[tex]X = 16.121[/tex]
16.121 ounces.
(c) Eighty percent of the boxes will contain more than what number of ounces?
More than the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 16.1}{0.04}[/tex]
[tex]X - 16.1 = -0.84*0.04[/tex]
[tex]X = 16.0664[/tex]
16.0664 ounces.
(d) The middle 90% of the boxes will be between what two weights?
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile.
5th percentile:
X when Z has a pvalue of 0.05, so X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 16.1}{0.04}[/tex]
[tex]X - 16.1 = -1.645*0.04[/tex]
[tex]X = 16.0342[/tex]
95th percentile:
X when Z has a pvalue of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 16.1}{0.04}[/tex]
[tex]X - 16.1 = 1.645*0.04[/tex]
[tex]X = 16.1658[/tex]
Between 16.0342 and 16.1658 ounces.
It can be deduced that the probability of the boxes ending up with at least 1 pound of cereal will be 99.38%.
How to calculate the probabilityThe Z score based on the information will be:
Z = (16 - 16.1) / 0.04
Z = -2.5
Therefore, the p value is 0.0062. The probability will be:
= 1 - 0.0062
= 0.9938
The seventy percent of the boxes will contain less than 16 ounces. The ounces that will be contained in the eighty percent will be:
= -0.84 = (X - 16.1) / 0.04
X = 16
Lastly, the middle 90% of the boxes will be between 16.03 ounces 16.17 ounces.
Learn more about probability on:
https://brainly.com/question/25870256
A die used in a certain board game has eight faces, of which 3 are red, 3 are yellow, and 2 are blue. Each face is equally likely to land faceup when the die is tossed. In the game, a player tosses the die until blue lands faceup, and the number of tosses before blue lands faceup is counted. For example, a player who tosses the sequence shown in the following table has tossed the die 3 times before blue lands faceup. What is the probability that a player will toss the die at least 2 times before blue lands faceup? A 0.1406 B 0.4219 C 0.4375 D 0.5625 E 0.5781
Answer: 0.5625
Step-by-step explanation:
Using the binomial distribution, it is found that the probability that a player will toss the die at least 2 times before blue lands face up is:
D 0.5625
For each toss, there are only two possible outcomes, either blue lands face up, or it does not. The probability of blue landing face up on a toss is independent of any other toss, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
2 out of the 8 faces are blue, hence [tex]p = \frac{2}{8} = 0.25[/tex]The probability that a player will toss the die at least 2 times before blue lands face up is P(X = 0) when n = 2, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.25)^{0}.(0.75)^{2} = 0.5625[/tex]
Hence, option D is correct.
A similar problem is given at https://brainly.com/question/24863377
5. Higher Order Thinking Explain how to
find 35 + 9.
Use equations to show your thinking.
6. A
to us
9 +3
Answer:
9+8=17+9+9=18=35+9=44
Pls someone help me with this question pls
Answer:
c
Step-by-step explanation:
trust me i am did the test aredy
Measurement of a circle
(Giving brainliest to correct answer)
Answer:
See below
Step-by-step explanation:
1. True
2. False
3. True
The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fore and Aft decides to build a docking facility where one boat at a time can stop for gas and servicing. Assume that arrivals follow a Poisson probability distribution, with an arrival rate of 8 boats per hour, and that service times follow an exponential probability distribution, with a service rate of 10 boats per hour. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously.
A. What is the probability that the boat dock will be idle? Round your answer to four decimal places.
P0=
B. What is the average number of boats that will be waiting for service? Round your answer to four decimal places.
Lq=
C. What is the average time a boat will spend waiting for service? Round your answer to four decimal places.
Wq=
D. What is the average time a boat will spend at the dock? Round your answer to four decimal places.
W=
E. If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will be providing? Round your answers to whole numbers.
Because the average wait time is ____ seconds. Each channel is idle ____ % of the time.
Answer:
A.) 0.2
B.) 3.2
C.) 0.4
D.) 0.5
Step-by-step explanation:
Arrival rate, λ = 8 per hour
Service rate, μ = 10 boats per hour
1.)
Probability that boat dock will be idle, P0:
P0 = 1 - λ/μ
P0 = 1 - 8/10
P0 = 1 - 0.8
P0 = 0.2
Average number of boats waiting for service :
Lq = λ² ÷ μ(μ - λ)
Lq = 8² ÷ 10(10- 8)
Lq = 64 ÷ 10(2)
Lq = 64 ÷ 20
Lq = 3.2
Average time spent waiting for service, Wq :
Wq = λ ÷ μ(μ - λ)
Wq = 8 ÷ 10(10- 8)
Wq = 8 ÷ 10(2)
Wq = 8 / 20
Wq = 0.4 hour
Wq = 0.4 * 60 = 24 minutes
Average time spent at the dock :
1 ÷ (μ - λ)
1 ÷ (10 - 8)
1 ÷ 2
= 0.5 hour
= 0.5 * 60 = 30 minutes
GIVING OUT BRAINLIEST ANSWER HELP ME ASAP!!! pleaseeeee
Answer:
the answer is 29.7
Step-by-step explanation:
inverse tangent of (4/7)
Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)
A: 70>t-55
B: 70<t-55
Theres a line under the < For C
C: 70<t+55
D: 70>t+55
Answer:
c is the answer i dont know just here for the points
Step-by-step explanation:
i guess
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
Find the distance between the two points.
(4,5)
(-4,1)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
9514 1404 393
Answer:
80
Step-by-step explanation:
The distance formula tells you the distance between the points is ...
d = √((x2 -x1)² +(y2 -y1)²)
d = √((4 -(-4))² +(5 -1)²) = √(8² +4²) = √(64 +16)
d = √80
The number under the radical is 80.
If a pyramid prism has a height of 12 ft and a square base with side = 10
ft. What is the surface are of the pyramid?
160 sq. ft
1,340 sq. ft
240 sq. ft
340 sq. ft
use the distributive property to write equivpressions by filling in the blanks .
5(k+2) = (5+ __ ) + (5 ___ )
= __ + ___
Answer:
5(k+2) = (5 · k) + (5 · 2)
= 5k + 10
Answer:
5(k+2) = (5+ k+2 ) + (5 __k_ )
= _k_ + _2__ I may be wrong sorry
HElp And THAnkS ASAP
Answer:
B. M - J = 6
Step-by-step explanation:
Mike won 6 more games than Jeanie
so J + 6 = M
Subtract J from both sides of the equation
J - J + 6 = M - J
Simplify
6 = M - J
or
M - J = 6
The domain of rational function gis the same as the domain of rational function f. Both f and g have a single x-intercept at x = -10. Which
equation could represent function g?
A. g(x) = 10px)
B. 8(x) = f(x + 10)
C. 8(x) = f(x) + 10
D. g(x) = f(x) - 10
What is the value of u? (pls help and no links)
Answer:
I think 44 degrees
Step-by-step explanation:
73-29=44
Answer:
44
Step-by-step explanation:
The value of u, combined with the angle directly next to it (with the measurement of 29°), is a vertical angle to the opposite given angle (73°).
Note that, by the definition of vertical angles, angles directly next and opposite of each other have the same measurement. Set the equation:
u + 29 = 73
Isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Subtract 29 from both sides:
u + 29 (-29) = 73 (-29)
u = 73 - 29
u = 44
44° is your answer for u.
~
rewrite the expression using sixths 1 1/3 - 1/2 = 4/3 - 1/2
Answer:
8-3=8-3
Step-by-step explanation:
PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED
Answer:
Answer 2 i think
i did it myself and that what got i might have done it wrong.
David and Patti each decomposed 138. David wrote 1 + 1/8 + 3/8. Patti wrote 4/8+2/8+5/8.
Who Is Correct?
No downloads
No Links
No files
No bitly.
Answer:
Both are wrong.
Step-by-step explanation:
We have that:
Both decomposed the fraction [tex]\frac{13}{8}[/tex] into a sum of fractions. Whoever's decomposition sum has a value of [tex]\frac{13}{8}[/tex] is correct.
David:
[tex]1 + \frac{1}{8} + \frac{3}{8} = \frac{8}{8} + \frac{1}{8} + \frac{3}{8} = \frac{8+1+3}{8} = \frac{12}{8}[/tex]
[tex]\frac{12}{8} \neq \frac{13}{8}[/tex], which means that David is wrong.
Patti
[tex]\frac{4}{8} + \frac{2}{8} + \frac{5}{8} = \frac{4+2+5}{8} = \frac{11}{8}[/tex]
[tex]\frac{11}{8} \neq \frac{13}{8}[/tex], which means that Patti is wrong.
So the answer is that both are wrong.
Find the volume.
pls help!!
Answer:
the answer to the problem is 48 km
Step-by-step explanation:
8*2*3
Answer: 48 sq km
Step-by-step explanation:
The length of the rectangular prism is 8 kilometers. The width is 3 kilometers. Lastly, the height is 2 kilometers. The formula for a rectangular prism is lwh, or length x width x height. 8 x 3 x 2 = 48 sq km.
there's a 100 dollar stuck up 12 feet up a building and you buy a 15 foot ladder that can be safely leaned at a 60 degree angle, can you reach the bill?
Point P lies on circle C, x^2+y^2=36. There are two unique tangents to circle D, x^2+y^2=18 that pass through point p. What is the measure of the angle between the two tangent lines?
Answer:
90°Step-by-step explanation:
Refer to attached
Red circle is C with radius 6 and green circle is D with radius √18.
PM and PN are tangents to circle D.
M and N are right angles as tangents are perpendicular to radius.
We need to find the measure of ∠MPN.
We'll work out this angle using trigonometry:
OM / OP = sin (∠MPO) sin (∠MPO) = √18/6 = √2/2m∠MPO = arcsin ( √2/2) = 45°∠NPO is same as ∠MPO, therefore:
m∠MPN = 45°*2 = 90°17. Find the ratio of the perimeter to the area of the square shown.
x + 3
x + 3
Answer:
4x+12/x^2+9
Step-by-step explanation:
Perimeter
x+3+x+3+x+3+x+3
Area
(x+3)(x+3)
Suppose that there are 27 sophomores and 14 juniors in a Physiology class. Two students are chosen at random to participate in a class demonstration. What is the
probability of choosing two students at random and the first is a junior and the second one is a sophomore? Round your answer to four decimal places, if necessary.
Thank u guys for helping me out but please I need help
Answer:
integers
Step-by-step explanation:
Integers include positive and negative including 0, but not including fractions or decimals
Answer:
Integers because:
Whole doesn't include negatives.
Irrational includes both, but not this one.
Natural numbers are only possitive values.
Can the following lengths be
used to form a right triangle?
Explain.
Length 1: 15 units
Length 2: 20 units
Length 3: 35 units
For 11-14, fill in the blank with >, <, or =.
Answer:
first one is =
second one is ≥
third one is =
forth one is =
you are packing gifts for the annual holiday decorations the boxes you have been given measure 10 inches in length 6 in in within 12 inches in height the gifts this year smaller so you need smaller boxes you order new boxes with Dimensions that equal the dimensions of the large boxes times a scale factor of 1/2 what is the volume of each new box
Answer:
I dont know can u explaining more
Step-by-step explanation:
its not clear too much
Let z = 11 (cos(1) + i sin (1) and w=7(cos(1) + i sin (1)
What is zw?
A: 11/7(cos(pi/6) + i sin (pi/6)
B: 77(cos(pi/6)+ i sin (pi/6)
C:12(cos(pi/12) + i sin ( pi/12 )
D: 77 (cos(pi/12) + i sin (pi/12)
What is the volume of the cone? Use 3.14 for π.
Answer:
Around 37.7
Step-by-step explanation:
The volume of a cone is (1/3)πr^2h or πr^2h/3
3.14 * 4^2 * 4/3 is around 37.7