To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade? 14% 17% 55% 67%
Answer: 14%
Step-by-step explanation:
Complete question is provided in the attachment below:
Probability that members of the junior varsity swim team wear glasses = 55%=0.55
Given: P(wear glasses) = 0.55
P(not wear glasses) = 1-0.55 = 0.45
P(member in 10th grade | not wear glasses) = 30%
Using conditional probability formula:
\(P(B|A)=\dfrac{P(A\text{ and } B)}{P(A)}\)
\(\Rightarrow\ 0.30=\dfrac{P(\text{not wear glasses and in 10th grade})}{0.45}\\\\\Rightarrow\ P(\text{not wear glasses and in 10th grade})=0.45\times0.30\\\\0.135=13.5\%\approx14\%\)
Hence, the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade = 14%.
So, the correct option is "14%".
Find the difference
-2(c + 2.5) - 5(1.2c + 4)
There are two cube-shaped tanks. One of the tank has a 3 m side, while the other one has a side measuring half of the first one. Which tank can store more water and why
Answer: The tank which has 3 m side.
Step-by-step explanation: A cube is a form that has equal sides. To calculate the volume of it, multiply all three sides:
V = length*width*height
Since they are all the same, volume will be:
V = s³
One tank has a 3 m side, so its volume is:
V = 3³
V = 27 m³
The other has half of the first one side, then s = \(\frac{3}{2}\) and volume will be:
V = \((\frac{3}{2})^{3}\)
V = \(\frac{27}{8}\) m³
As you can see, the volume of the second tank is \(\frac{1}{8}\) smaller than the first one. Therefore, the tank which has 3 m side can store more water than the tank with side measuring half of the first.
The Olson family uses up a
1/2
-gallon jug of milk every 3 days. At what rate do they drink milk?
The Olson family drinks milk at a rate of 1/6 gallon per day.
To find the rate at which the Olson family drinks milk, we need to divide the amount of milk they drink by the time it takes them to drink it.
They use up a 1/2-gallon jug every 3 days, so their rate of milk consumption is:
(1/2 gallon) ÷ (3 days) = 1/6 gallon per day
A gallon is a unit of volume measurement commonly used in the United States and some other countries. There are different types of gallons, but the most commonly used ones are:
US liquid gallon (abbreviated as "gal" or "US gal"): This is a unit of volume used for measuring liquid substances. It is defined as exactly 3.785411784 liters or approximately 0.83267418 Imperial gallons.
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Select the mean, median, mode and range for the following list of values.
13,18,13,14,13,16,14,21,1313,18,13,14,13,16,14,21,1313,18,13,14,13,16,14,21,13
Answer:
Mean - 119.16
Median - 14
Mode - 13
Step-by-step explanation:
calculator
Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
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the length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 25 minutes and 73 minutes. what is the standard deviation of wait time? group of answer choices
The standard deviation of wait time is 13.8564.
The length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 25 minutes and 73 minutes. We have to find the standard deviation of the wait time.
The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution is its standard deviation. The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
S² = (73 - 25)²/12
S² = (48)²/12
S² = 192
S = √192
S = 13.8564
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The length of a rectangular room is (2x + 2) and the width is (x-7). If the total area of
the room is 145 square feet, what is the value of x?
Answer:
X=50
Step-by-step explanation:
If you algebraically plug in 50 you come to an answer of X=50
Complete the statements below. Choose the most appropriate answers from the
words in the box.
income
livelihood
recreation
food
cost-efficient
happiness
helps
expenses
responsible
1. It can be a good source of_____
2. It boost self-confidence, become_____ and thoughtful
3. It can be a source of food such as meat and_____
4. It_____the country's
problem in terms of unemployment.
5. It gives additional source of____
6.It cope up the country's problemin terms of___shortage
7.It helps to minimize the____
of a family
8.It will become a___of a family
9.It Brings___ to one's family
10.Animal raising became one of the most popular_____source of income nowdays
pasagot po pls need na po ito:+
Answer:
1 food
2 happines
3 live hood
4 help
5 income
Tyler uses 20% of the remaining barbecue sauce. about how many ounces did he use the second time?
Tyler used approximately 16 ounces of barbecue sauce the second time.
Find the approximate number?If Tyler used 20% of the remaining barbecue sauce the second time, it means he used 20% of what was left after the first time. Let's assume he started with a certain amount of barbecue sauce, let's say x ounces.
During the first time, Tyler used a portion of the sauce, leaving (100% - 20% = 80%) of the sauce remaining. Therefore, the remaining amount after the first time is 80% of x, which is 0.8x ounces.
During the second time, Tyler used 20% of the remaining sauce, which is 20% of 0.8x. To calculate this, we multiply 0.8x by 0.2:
0.8x × 0.2 = 0.16x.
So, Tyler used approximately 0.16x ounces of barbecue sauce the second time.
If we substitute x with the original amount of sauce, which is unknown in this case, we cannot determine the exact number of ounces Tyler used. We can only conclude that he used approximately 16 ounces, assuming x was a sufficient amount of sauce for his needs.
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Josef has 25 toy cars. He gives 6 cars to his sister and 5 to his friend. Then he sells 8 cars at a yard sale.
How many cars does Josef have left?
Answer:6 cars
Step-by-step explanation:
Since he gave away 19 total (6+5+8) and had 25,he has 6 remaining. (25-19)
Which of the following transformations will always produce a congruent figure?
A. reflection
B. dilation
C. expansion
D. contraction
Which of the following transformations will produce a similar, but not congruent figure?
A. dilation
B. translation
C. reflection
D. rotation
Answer:
A, d
Step-by-step explanation:
A) reflection, A) dilation
Step-by-step explanation:
To produce a congruent figure, the angle measures of the image and the side lengths of the image must be the same as the angle measures and side lengths of the pre-image. This means we cannot shrink, expand, or contract the figure; by definition, those transformations change the size. This leaves reflection.
To produce a similar, but no congruent figure, we must change the side lengths while keeping the angle measures preserved. Translations, reflections and rotations will move a figure but do not change the side lengths; dilation is the only choice that will change the side lengths.
A laser printer prints 9 pages per minute. Martha refilled the paper tray after it had printed 92 pages. In how many more minutes will there be a total of 245 pages printed?
17 minutes
hope this helps!
A teacher recorded unit 4 test scores from her class.
58, 64, 66, 70, 71, 75, 77, 80,
84, 85, 87, 90, 93, 95, 96.
Find the percentile rank of a score of 71 on this street -
Victor is in the 60th percentile, what was his score?
The percentile score of 71 on test score is 27 and the score of victor is 71.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula
\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60th percentile.
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
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Simplify: cosx+sinxtanx
To simplify the expression cosx + sinxtanx, we can use the identity tanx = sinx/cosx.
Substituting this value of tanx in the expression, we get:
cosx + sinx(tanx) = cosx + sinx(sinx/cosx) = cosx + (sinx)^2/cosx
We can then use the identity (sinx)^2 + (cosx)^2 = 1 to simplify this expression further.
Multiplying both sides of the identity by (cosx)^2, we get:
(sin^2x) + (cos^2x)cosx = cos^2x + (sinx)^2
Rearranging the terms, we get:
(sin^2x)/cosx = 1 - cos^2x
Substituting this value in the earlier expression, we get:
cosx + (sinx)^2/cosx = cosx + (sin^2x)/cosx = cosx + (1 - cos^2x)/cosx
Simplifying this expression, we get:
cosx + (1 - cos^2x)/cosx = 1/cosx
Therefore, the simplified expression is 1/cosx.
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A large university accepts 40% of the students who apply. Of the students the university accepts, 25% actually enroll. If 20,000 students apply, how many actually enroll? I’ll give BRAINLEST and free art
20000 = 100% so we need to find 1% first so we can find the 40% that will be accepted
20000 : 100 = 200 (that's 1%)
to find 40% we multiply 200×40= 8000 people accepted
we need to find the 25% of those 8000 so again we divide by 100
8000 : 100 = 80
80 × 25 = 2000 people
hopefully it's correct good luck
PLEASE HELP I'LL GIVE 90 POINTS!!!!!
Which two operations can you perform on the powers from the table you created in question 1, part C, to get the answer to question 2, part A?
Answer: 100×100=10,000 =10^4
100×100=10^2×10^2
10^2 × 10^2 =10^4
House for a new floor are shaped like squares 6 in by 6 in and each tile cost $3.25 how much would it cost to lay on the floor of a room 16 ft by 15 ft
The cost to lay on the floor of a room 16 ft by 15 ft is $112320
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
Area of tile = 6 in * 6 in = 36 in²
36 in² cost $3.25
Area of 16 ft by 15 ft = 16 * 15 = 240 ft² = 34560 in²
Cost = 34560 * $3.25 = $112320
The cost to lay on the floor of a room 16 ft by 15 ft is $112320
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If SGYW is reflected
across the line y= x,
what are the coordinates
of S'?
Todd made a table to show different plans he can use to save $500. Complete the table. Which plan can Todd use to save $500 in less than 16 weeks and have $20 extra? Explain how you found your answer
Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.
In plan A,
Plans for saving = $500
Amount of saving each week = $20
∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)
= 25
In plan B,
Plans for saving = $500
Amount of saving each week = $30
∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)
= 17
In plan C,
Plans for saving = $500
Amount of saving each week = $40
∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)
= 13
In plan D,
Plans for saving = $500
Amount of saving each week = $50
∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)
= 10
So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.
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is the triangle right triangle?
Answer:
yes the relation between the sides and angles of a right triangles bases off math
Answer:
no
Step-by-step explanation:
2^2 + 4^2 does not equal 5^2
a2+b2=c2
imma leave the door opennnnnn
Answer:
Lol
Step-by-step explanation:
Wdym?
89
44
What is the value of v?
V=
o
Step-by-step explanation:
djzbiznJzlzbzjdkzlz?kskdbdid jaozbizz,#
Solve the following equation: 2(x+4)-12=112
Answer:
x=46
Step-by-step explanation:
step 1
decompse the bracket
2(x+4)-12=112
2x+8-12=112 step 2
collect like terms
8-12-112=2x
92=2x
step3
divide both side by 2
Can someone explain this / answer it? 18 POINTS + Brainliest
Answer:
I believe it is because he has exhausted all the different ways to use the 18 m he has. Look below.
Step-by-step explanation:
He has 18 m of wood and he has done:
8+8=16 1+1=2 16+2=18
7+7=14 2+2=4 14+4=18
6+6=12 3+3=6 12+6=18
5+5=10 4+4=8 10+8=18
So he has no more ways to use the 18 m of wood and has exhauseted all the ways.
Please mark brainliest
EXAMPLE 6 Test the convergence of the series Zn + 4 2) ` 12n + n = 1 SOLUTION 7n + 4 12n + 2 an Ia 7 + 4 1 12 + 2 Thus the given series converges by the Root Test:
The given series is Zn + 4 2) ` 12n + n = 1. We are asked to test its convergence. Applying the Root Test, we find that the limit of the nth root of the absolute value of the nth term of the series is equal to 7/12
The given series can be represented as:
Σ(a_n) = Σ((7n + 4)/(12n + 2))
To apply the Root Test, we need to find the limit as n approaches infinity of the absolute value of the ratio of consecutive terms:
L = lim (n→∞) |a_(n+1) / a_n|
L = lim (n→∞) |((7(n+1) + 4) / (12(n+1) + 2)) / ((7n + 4) / (12n + 2))|
Simplifying the expression, we get:
L = lim (n→∞) |(7n + 11) / (12n + 14)|
As n approaches infinity, the limit will be determined by the highest power of n, which is n in this case:
L = lim (n→∞) |(7/12)|
Since the limit is a constant value (7/12), which is less than 1, the given series converges by the Ratio Test.
Since this limit is less than 1, we can conclude that the series converges.
Therefore, the limit of the nth root of the absolute value of the nth term of the series is equal to 7/12. Since this limit is less than 1, we can conclude that the series converges. Therefore, the given series converges by the Root Test.
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A man mows his 100 ft by 200 ft rectangular lawn in a spiral pattern starting from the outside edge. After a bit of hard work he stops for a water break, he is 40.5% done. How wide of a strip has he mowed around the outside edge
Based on the length and width of the rectangular lawn, and the percentage the man has mowed, the strip width would be 40.5 m.
what is the width of the strip mowed already?first, find the area of the lawn:
= 100 x 200
= 20,000 ft²
the area mowed is:
= 40.5% x 20,000
= 8,100 ft²
the width is therefore:
= 8,100 / 200
= 40.5 m
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Explain how you found the unit rate for the previous activity. Then, explain how you used this information to graph this relationship.
Answer:
.
Step-by-step explanation:
What is the running time of the most efficient deterministic algorithm you know for
finding the shortest path between two vertices in a directed graph, where the weights
of all edges are equal? (Include the name of the algorithm.)
The running time of the most efficient deterministic algorithm for finding the shortest path between two vertices in a directed graph where the weights of all edges are equal is O(V+E).
The name of the algorithm is Breadth-First Search (BFS).
What is the Breadth-First Search Algorithm?Breadth-first search (BFS) is an algorithm for traversing or searching tree or graph data structures. It starts at the tree or graph root (or some arbitrary node of a graph, occasionally referred to as a ‘search key’) and explores the neighbor nodes first, before moving to the next level neighbors.
BFS traverses the graph breadthwise and systematically, exploring all of the neighbors of a node before moving on to the next level neighbor. The algorithm runs on time complexity O(V+E).
So, Breadth-First Search (BFS) is the most efficient deterministic algorithm for finding the shortest path between two vertices in a directed graph where the weights of all edges are equal.
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Just need help with this one
Answer:
perimeter is 20 cm