Answer:
You have 6 outcomes
1, head
1, tail
2, head
2, tail
3, head
3, tail
Mmm
A basketball player scored 14 times during one game. She scored a total of 18 points, two for each two-point shot and one for each free throw. How many two-points shots did she make? How many free throws?
Answer:
i. 4 two-point shots
ii. 10 free throws
Step-by-step explanation:
Number of times scored = 14
total points made = 18
let her two-point shot be represented by x, and her free throw by y.
So that;
x + y = 14 .......... 1
But, two points for each two-point shot and one point for each free throw;
2x + y = 18 ......... 2
Subtract equation 2 from 1
2x - x + y - y = 18 - 14
x = 4
substitute the value of x in equation 1
4 + y = 14
y = 14 - 4
y = 10
x= 4, y = 10
Thus, she made 4 two-point shots, and 10 free throws.
Answer:
4 two-pointers and 10 free throws
Step-by-step explanation:
18 - 14 = 4
4 two-pointers = 8
10 free throws = 10 points
45/100•72=45/72•100
True or false
Answer:
False
Step-by-step explanation:
45/100 × 72 = 32.4
45/72 × 100 = 62.5
62.5 ≠ 32.4
Answer:
false
Step-by-step explanation:
45/100x72=32.4%
45/72X100=62.5%
A main task for members during the final session is to put into words what has transpired from __________.
The main task for members during the final session is to put into words what has transpired from the first to the final session.
What happens in the first session of group therapy?The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.
What is the first therapy session called?Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.
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what is the slope of the line passing through the points (-1,7) and (3,107)
Answer:
25 is the slope
\(\frac{107-7}{3-(-1)}\)
\(\frac{100}{4\\}\)
25
A person starts in Boulder, drives to Denver (50 km away) in 1 hour, stays in Denver 1 hour, then speeds back to Boulder in 30 minutes. What is the average speed of the round trip\
The person may have driven at different speeds during different parts of the trip (such as 50 km/hour on the way to Denver and 100 km/hour on the way back), the average speed over the entire trip is 40 km/hour.
The average speed for a round trip is calculated by dividing the total distance travelled by the total time taken.
In this case, the person travelled 50 km from Boulder to Denver and another 50 km back from Denver to Boulder, for a total of 100 km. The time taken for the round trip was 1 hour to drive from Boulder to Denver, 1 hour spent in Denver, and 0.5 hours to drive back from Denver to Boulder, for a total of 2.5 hours.
Using these values, we can calculate the average speed for the round trip as 40 km/hour. This means that on average, the person travelled at a speed of 40 kilometers per hour during the entire round trip. Although the person may have driven at different speeds during different parts of the trip (such as 50 km/hour on the way to Denver and 100 km/hour on the way back), the average speed over the entire trip is 40 km/hour.
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PLEASE HELP
show all work
Answer:
\(8i^{22}\) - 1
Explanation:
It's actually quite easy to tell which simplifies to a real number without working out the problem.
\(i^{2}\) = -1
Any imaginary number with an even exponent is simplified to a real number. If it has an odd exponent, it cannot be simplified to a real number.
Some tips for fully solving the expression:
If the exponent is divisible by 4, then don't change the sign of the coefficient. You're just multiplying it by 1 because \(i^{4}\) = \((i^{2})^{2}\) = \((-1)^{2}\) = 1
If the exponent is divisible by 2, change the sign of the coefficient because you're multiplying it by -1.
The following values represent the amount of money (in dollars) 10 people have in their wallets: 10, 12, 19, 5, 6, 8, 1, 13, 4, 7 what is the median?
The median of all these numbers in dollars is 7.5.
How to obtain median when no. of given data are odd ?When the no. of given data are odd we arrange those nos. in an order increasing or decreasing order and the middle no. is the median of the given odd numbers.
According to the given question the following values represent the amount of money (in dollars) 10 people have in their wallets: 10, 12, 19, 5, 6, 8, 1, 13, 4, 7 and we have to find the median.
First we observe that no. of people is even so there will be two middle nos.
Now lets arrange these nos. in an order from least to greatest which is
1, 4, 5, 6, 7, 8, 10, 12, 13, 19 in this 7 and 8 are middle numbers.
So, to find the median of all these nos. we will divide these two middle nos. by 2.
∴ ( 7 + 8 )/2
= 15/2
= 7.5.
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could someone help me with this but explain the first o
ne
Answer:
you have to add the sides
Answer:
1. 57°
2. 60°
3. 66°
4. 45°
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°. If you know 2 angles, you can figure out the third angle. Some of the numbers are a little hard to read. Check that I wrote them correctly. A little square means that the angle is 90°
1.
180 - 90 - 33 = 57
2.
180 - 60 - 60 = 60
3.
180 - 39 - 75 = 66
4.
180 - 90 - 45 = 45
Helping in the name of Jesus.
Which of Polygons B, C, D, E, and F are similar to Polygon A?
Answer:
b and d
Step-by-step explanation:
Find the slope given
the ordered pairs:
(-3,-2) and (-3,-5)
Step-by-step explanation:
\( - 2 - - 5 \\ \)
\( \div - 3 - - 3\)
Two cards are selected, without replacing the first card, from a standard deck. Find the probability that both cards are sevens.
The probability that both cards are sevens is 0.0044
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
There are 52 cards, 4 are sevens.
So the probability of picking the first 7 is 4/52.
If you don't replace the card, then there are only 51 cards left, 3 of which are sevens.
So the probability of picking a seven on the second draw is 3/51.
The probability of picking sevens on both draws is:
P(picking two sevens) = (4/52)·(3/51) =0.076*0.058=0.0044
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Which represents the solution(s) of the system of equations, y = x2 – 6x 8 and y = –x 4? determine the solution set by graphing.
The solution set of the given system of equations is {(4, 0), (2, 4)}.
The given system of equations is: y = x² – 6x + 8 and y = –x + 4
To solve the given system of equations, we need to solve both the equations simultaneously.
We can solve the equations by the following method:
First Equation:
y = x² – 6x + 8
Rewriting in vertex form, we get:
y = (x – 3)² – 1
This is a parabola that opens upward and its vertex is at (3, –1).
Second Equation:
y = –x + 4
This is a line that passes through (0, 4) and (4, 0).
Now, we can find the solution of the given system of equations by plotting the graph of both the equations on the same graph.
We can observe from the graph that the two graphs intersect at (4, 0) and (2, 4).
Therefore, the solution of the given system of equations is: x = 4, y = 0, x = 2, y = 4
So, the solution set of the given system of equations is {(4, 0), (2, 4)}.
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A bag contains 15 balls numbered 1 through 15. What is the probability of selecting a ball that has an odd number and is divisible by 5? 1. 8/15 2. 2/15 3. 7/15 4. 1/5
Answer:
the probability would be 8/15
The solution is Option 2.
The probability of selecting a ball that has an odd number and is divisible by 5 is 2/15
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability of selecting a ball that has an odd number and is divisible by 5 be P
Now , the equation will be
The total number of balls in the bag = 15 balls
The numbered balls in the bag A = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 }
The numbers of the balls in the bag that are divisible by 5 B = { 5 , 10 , 15 }
The odd numbers from the set B = { 5 , 15 }
So , the probability of selecting a ball that has an odd number and is divisible by 5 P = odd numbers from the set B / total number of balls in the bag
Substituting the values in the equation , we get
The probability of selecting a ball that has an odd number and is divisible by 5 P = 2/15
Therefore , the value of P is 2/15
Hence , the probability is 2/15
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cars of length 2 try to park on a length l road. each minute, a new car parks at a uniformly random spot on the road without crashing into another car or running off the road. when no more cars fit, what is the expected size of the largest gap between adjacent cars (as a function of l)? how about the smallest gap between adjacent cars?
The expected size of the largest gap between adjacent cars (as a function of l) is l/(n + 1), and the expected size of the smallest gap between adjacent cars is 2.
Let us consider that cars of length 2 try to park on a length l road. Each minute, a new car parks at a uniformly random spot on the road without crashing into another car or running off the road.
When no more cars fit, the expected size of the largest gap between adjacent cars is l/(n + 1) and the smallest gap is 2.
The expected size of the largest gap between adjacent cars (as a function of l) is l/(n + 1).
Let n be the number of cars parked on the road. Then the total length of the cars parked is 2n.
If the largest gap is a distance g, then the total length of the gaps is l − 2n. Then,gap length:
g (n + 1) ≤ l - 2ng ≤ l − (n + 1)g
Dividing through by (n + 1)g and rearranging:
g ≤ l/(n + 1) (largest gap)g ≥ 2 (smallest gap)
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If each shelf can hold at most 20 books, what is the least number of shelves needed to store the 175 books?
Answer- 9 shelves
In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.
HOPE THIS HELPS & GOOD LUCK!
Question Two
Solve the following simultaneous equation graphically:
x + 4y = 17
2x + 5y =
25 (7 marks)
STATISTICS
Answer:
x = 5
y = 3
Step-by-step explanation:
x + 4y = 17
2x + 5y = 25
We multiply the first equation by -2
-2x - 8y = -34
2x + 5y = 25
-3y = -9
y = 3
Now we put 3 in for y and solve for x
x + 4(3) = 17
x + 12 = 17
x = 5
Let's Check the answer
5 + 4(3) = 17
5 + 12 = 17
17 = 17
So, x = 17 and y = 3 is the correct answer.
•
1. Michael deposits $120 into a new savings account.
The account earns 5.5% simple interest per year.
No money is added or removed from the savings account for 5 years.
What is the total amount of money in her savings account at the end of the 5 years.
A. $ 127.50
B. $ 85
C. $ 153
D. $ 330
Answer:
I53 $
Step-by-step explanation:
So, now we can set up the proportion:
5.5 x
-------- = ------
100 120
We need to find the value of x.
120 × 5.5 = 660
660 ÷ 100 = 6.6
So, now we know 6.6 is the amount Michael gets every year for interest.
Let's multiply that over 5 years.
5 × 6.6 = 33.
So, in total interest, Michael got 33$ in 5 years. Let's add that amount to the amount he originally added to into his savings account.
33 + 120 = 153.
Therefore, 153 will be the answer.
-kiniwih426
Let A = {2,4,6,8,10,12} B = {3,6,9,12,15,18} C = {0,6,12,18} Find C-A. none of the choices {2,3,4,6,8,9,10,12} O {2,4,8,10) {0,18}
the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:
C = {0, 6, 12, 18}
A = {2, 4, 6, 8, 10, 12}
We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.
Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.
Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
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Can someone answer this problem thank you
Answer:
Step-by-step explanation:
5x+13=7x-11
x=13
what is 1/4 liters in decimal?
Answer:
0.25 LitersStep-by-step explanation:
Easy, I just memorize these :)
1/2 = 0.5
1/3 = 0.33
1/4 = 0.25
1/5 = 0.2
2/3 = 0.67
3/4 = 0.75
I'm always happy help :)
Is the sky blue???????
No No the sky is not blue.
A clear cloudless day-time sky is blue because molecules in the air scatter blue light from the sun more than they scatter red light. When we look towards the sun at sunset, we see red and orange colours because the blue light has been scattered out and away from the line of sight.
To understand why the sky is blue you need to remember how color works. Color is largely caused by how well an object absorbs the light spectrum. When you see a blue sky you only see blue because all the other colors were absorbed in the air. Any object with color works that way. For example a red ball is read because all the colors of light are absorbed by the ball except for red. This reflected light is what gives the object color.
This is what happens with the sky. The atmosphere is denser than we imagine and the different gases give the atmosphere unique properties in how it absorbs, diffuses, and reflects light. When sunlight passes through our atmosphere a portion of it is scattered and absorbed. The remainder either reaches the surface or is reflected back. The portion that makes it to us observers is 75 percent.
This process is called diffused sky radiation. So to review, we color because objects due to texture of dyes and surfaces absorb all light wavelengths and reflect back one or more. The reason we see the sky as blue is because the molecules in the air scatter the light absorbing most wavelengths of light except for blue.
In addition to this the sky is gray and overcast because of the water droplets in the atmosphere in the forms of clouds and humidity. water refracts light equally unlike air molecules in the atmosphere. This means we get the entirety of white light only it is dimmer just like when you shine a light through a white sheet.
The fact we see a blue sky is good thing because its shows that are atmosphere is at work shielding us from the full energy of the sun’s rays. While the sun is the largest source of energy to our planet, a lot of its high energy radiation that is deadly for living things. Our atmosphere plays it part by shielding us from that. So when you see a blue sky with your kid you can tell them it means the sky is acting like a huge shade blocking out the bad parts of the sun.
Answer:
thats cool
Step-by-step explanation:
SOMEBODY PLEASE HELP ME I REALLY NEED IT
Answer:
The area is 35 square units.
Step-by-step explanation:
The entire figure is formed by four triangles and a rectangle, whose sum represents the total area (\(A_{T}\)), in square units, represented by the following formula:
\(A_{T} = A_{1} + A_{2} + A_{3} + A_{4} + A_{5}\) (1)
Where:
\(A_{1}\), \(A_{2}\), \(A_{3}\), \(A_{4}\) - Areas of the four triangles.
\(A_{5}\) - Area of the rectangle.
By using the area formulas of a triangle and rectangle we expand the equation described above:
\(A_{T} = \frac{1}{2}\cdot (3)\cdot (6) + \frac{1}{2}\cdot (3)\cdot (2) + \frac{1}{2}\cdot (2)\cdot (2) + \frac{1}{2}\cdot (3)\cdot (6) + (2)\cdot (6)\)
\(A_{T} = 35\,u^{2}\)
The area is 35 square units.
It would take an hour for plane A to meet plane B. If the distance between them will be 200 miles in 45 minutes, how far are they now?
Answer: 125 miles
if you do the math you will get the same answer.
Answer:
800 miles
Step-by-step explanation:
What is the population variance of the following set of numbers: 3, 5, 8, 9, 10? 29 6.8 7 8.5?
The population variance of the following set of numbers: 3, 5, 8, 9, 10 is 6.8
For given question,
We need to find the population variance of the following set of numbers: 3, 5, 8, 9, 10
The formula for the Population variance is,
\(\sigma = \frac{\sum (x-\bar x)^2}{N}\)
Here,
\(\bar x\) = sample average
x = individual values in sample
N = count of values in the sample.
For given question,
\(\bar x=\frac{3+ 5+ 8+ 9+ 10}{5} \\\\\bar x=7\)
Using the formula for variance,
\(\sigma = \frac{1}{5} [(3-7)^2 + (5 - 7)^2 + (8 - 7)^2 + (9 - 7)^2 + (10 - 7)^2]\\\\\sigma = \frac{1}{5} \times 34\\\\\sigma = 6.8\)
Therefore, the population variance of the following set of numbers: 3, 5, 8, 9, 10 is 6.8
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in a school 45% of students are girls if there are 110 boys find the total number of students the number of girls full process
Answer:
Total number of students = 200
The number of girls = 90
Step-by-step explanation:
Girls = 45%
Boy = (100 - 45)% = 55%
Let the total students = x
Number of boys = 110
55% of x = 110
\(\frac{55}{100}*x = 110\\\\ x = 110*\frac{100}{55}\\\\ x = 10 * \frac{100}{5}\\\\\)
x = 2 * 100
x = 200 students
Girls = 45% of x
\(= \frac{45}{100}*200\)
= 45 * 2
Girls = 90
Plz any math genius help me with this question ASAP
Thank you so much
Show all working
Plz help me pass
Answer:
418
Step-by-step explanation:
first row = 13 chairs
next 15 rows are 15 chairs each so
15 x 15= 225
the remaining rows are 10 and they have 3 extra chairs so 18 chairs and 10 remaining rows
10x 18=180
now add 13+225+180=418
hope this helps
A witness at the scene of a hit-and-run accident saw that the car that caused the accident had a license plate with only the letters I, R, L, T, O, and A. Find the probability that the license plate starts with a T and ends with an R.
The probability that the license plate starts with a T and ends with an R is 0.0278.
What is the probability?The letters I, R, L, T, O, and A are six letters.
The total number of possible license plates is 6⁶ = 46656.
The number of license plates that start with a T and end with an R is determined as follows;
The first and last positions are fixed, so we have 1 choice for the first position (T) and 1 choice for the last position (R).For the remaining 4 positions, we have 6 choices each.Thus, the number of license plates that start with a T and end with an R is 1 * 6⁴ = 1296.
Probability = Number of favorable outcomes / Total number of possible outcomesProbability = 1296 / 46656
Probability ≈ 0.0278
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7
Mr. Jones filled his swimming pool with water.
• Mr. Jones began filling the pool at a constant rate.
He turned off the water for a while.
He then turned the water back on at a slower constant rate.
• Mr. Jones turned off the water again for a while.
• He then turned the water back on at the first rate.
Which graph best represents Mr. Jones filling the pool?
SU
Answer:
A??
Step-by-step explanation:
Its none of the graphs I am seeing which I can only see B C D so I don't know what graph A is, so I am going to say graph A
A cafeteria is in the shape of a rectangle. The length of the rectangle is four times its width. The area of the cafeteria is 14,800 square feet. What is the length of the cafeteria? Round to the nearest foot.
Answer:
243 feet
Step-by-step explanation:
Answer:
243 i think please
brainlist
Step-by-step explanation:
hi
Phân tích đa thức thành nhân tử :
36a^4-y^2
Answer:
I don not understand this question
I do not know the meaning of:
Phân tích đa thức thành nhân tử
Step-by-step explanation:
Sorry. I cannot help you.