Given:
DIstance between Diego and Sofia = 3 feet
Distance between Trisha and Diego = 9 feet
Let's find the distance between Sofia and Trisha.
If Sofia is straight behind Diego and directly to the left of Trisha, the figure below represents this situation:
We can see the figure forms a right triangle.
To find the distance between Sofia and Trisha, apply Pytrhagorean Theorem:
\(c^2=a^2+b^2\)Where:
c is the hypotenuse = 9 feet
a is the shorter leg = 3 feet
b is the longer leg = x feet.
Let's solve for b.
We have:
\(\begin{gathered} 9^2=3^2+b^2 \\ \\ 81=9+b^2 \\ \\ b^2=81-9 \\ \\ b^2=72 \end{gathered}\)Take the square root of both sides:
\(undefined\)Ms. Rios washed 2 5 of her laundry. Her son washed 1 3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
The son has washed most of the laundry.
Step-by-step explanation:
Hector saved $726 in 6 months. he saved the same amount each month. How much did hector save each month? I don’t have the answer and I don’t get it !
Answer:
He saved $121
Step-by-step explanation:
All you have to do is divide $726/6 which gives you $121.
Which of the following statements is true of the data displayed on this graph? 3 2 (2,5) (1,2) 2 77 (3,4) (3, 1) 3 (6,5) (5,3) 5 6 O The set of points on this graph is a relation and is a function. O The set of points on this graph is a relation but not a function O The set of points on this graph is a function but not a relation O The set of points on this graph is not a function and not a relation.
The set of points on this graph is a relation but not a function
We know that every function can be a relation but every relation cannot be a function.
A relation means the connection between the input and the output.
A function means that for every input there should only be one output.
Here, we have the data as:
(2,5), (1,2), (3,4), (3, 1), (6,5) and (5,3)
We can say that it is a relation as for every input, there is an output.
But, it is not a function.
This is because the input 3 has 2 outputs as 1 and 4 which is not possible in a function.
Therefore, the set of points on this graph is a relation but not a function.
Learn more about relation and function here:
https://brainly.com/question/2328150
#SPJ9
what is the solution to the equation x/3 + 5 = 8
Answer:
x = 9
Step-by-step explanation:
x / 3 + 5 = 8. | -5
x / 3 + 5 - 5 = 8 - 5
x / 3 = 3 | * 3
x / 3 * 3 = 3 * 3
x = 9
Un multiplu de două cifre, diferit de 24, al numărului 24 este........................
VA ROG REPEDE DAU COROANA
Answer:
Un multiplu de două cifre, diferit de 24, al numărului 24 este 48
A bowl contains blueberry and strawberry there are a total of 20 berries in the bowl The ratio of blueberry to strawberry is 2:3
Answer:
8:12
Step-by-step explanation:
2+3=5
20/5=4
2x4=8
3x4=12
PLS HELP GIVING BRANLIEST AND 20 PTS
Answer:
tito
Joshua
Caleb
Arthur
In induction, you look for a pattern and then form an educated guess or
about it.
A. conjugation
B. conjunction
C. congruence
D. conjecture
SUBMIT
The answer is D: conjecture
The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.
The other answer choices are defined as follows:
A. conjugation - the act of changing a verb to agree with its subject
B. conjunction - a connecting word
C. congruence - the state of agreeing, matching, or coinciding
D. conjecture - an opinion or conclusion formed on the basis of incomplete information
So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.
100 points if you tell me what is range
Answer:
Difference in large and small numbers, higher or smaller value.
Answer:
The range is the difference between the largest and smallest numbers. If you are talking in math.
Example 1: 1, 2, 5, 6, 7
so the smallest number is 1 and the largest number is 7 so 7-1=6
The range is 6.
Example 2: 16, 19, 10, 17, 42
now we have a data set that is not in order. First step is to order them:
10, 16, 17, 19, 42
Next take the smallest and largest number and subtract them: 42-10=32
The range is 32.
Step-by-step explanation:
Have a nice day!
and can I maybe have brainliest? Thanks!
The given point P is located on the unit circle, similar to what is seen in the image below, determine the sine and cos e(P is
not necessarily in Quadrant I).
(0,1)
(-1,0)
(0,-1)
(1,0)
PLS HELP ME ASAP
The sine and cosine of the angle of point P are sin θ = 143/145 and cos θ = -24/145 respectively. Option b. is the answer
How to determine the sine and cosine of the angle of point P?Given the coordinate of the point as P (-24/145, 143/145)
This implies x = -24/145 and y = 143/145
To determine the sine and cosine of the angle of point P, we can make a sketch using this information (see attached image).
opposite = 143/145, adjacent = -24/145
hypotenuse = √[(-24/145)² + (143/145)²] = √1 = 1
Using trigometric ratios:
sin θ = (143/145) / 1 = 143/145 [sin θ = opposite/ hypotenuse]
cos θ = (-24/145) / 1 = -24/145 [cos θ = adjacent/ hypotenuse]
Learn more about trigonometry on:
brainly.com/question/29354606
#SPJ1
Fill in the blank for this question!
While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero
How to Interpret an Absolute Value Function?The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.
The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.
Read more about Absolute Value Function at: https://brainly.com/question/3381225
#SPJ1
0.1 recurring as a fraction
Answer:
1/9
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
25;33;11;49 wich is the intruder
2/3; 5/8; 11/77; 7/8 which is the intruder
Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°I NEED THIS LESSON DONE TODAY!!!!!!!! Thirty students were surveyed about the number of siblings they have. Their results were recorded and placed on a card face down.
Outcome Frequency
1 6
2 12
3 9
4 or more 3
Determine P(3) when picking a random card.
10%
30%
70%
80%
The probability P(3) when picking a random card is 30%
How to determine the value of the probabilityFrom the question, we have the following parameters that can be used in our computation:
Outcome Frequency
1 6
2 12
3 9
4 or more 3
This means that
P(3) = Outcome(3)/Total frequency
Substitute the known values in the above equation, so, we have the following representation
P(3) = 9/(6 + 12 + 9 + 3)
Evaluate
P(3) = 30%
Hence, the probability is 30%
Read more about probability at
https://brainly.com/question/251701
#SPJ1
In the figure below,
What is the value of x?
Answer: 16 degrees
Step-by-step explanation:
(3x + 18) = 66
Because vertically opposite angles are equal
66 - 18 = 48
48 divided by 3
=16
A customer service call center had 200 calls last Monday. 120 of the calls came from texas. What statement best describes the ratio of calls from texas to total calls received that day.
Answer:
200:120
The total number of calls: 200
The calls that came from Texas: 120
Either order of numbers (total or the calls that came from Texas)
So your answer would be 200:120
If you need a simplified answer, it would be 5/3.
Step-by-step explanation:
200:120
(Total number of calls) : (Calls that came from Texas)
To simplify:
200/40=5
120/40=3
5:3
Hopefuly that helps!
The sum of the ages of two brothers Kofi and Kwaku is 35. Kofi age is 2/3 of Kwaku's age. find their ages.
2/3 of 35 is 23. Kofi is 23.
when simplified,9x-(x+1) is
Please Help giving 18 points
Answer:five inches
Step-by-step explanation:
Have a great day
What is the sum of 27 and r
Answer:
27+r
Step-by-step explanation:
Answer:
27 + r
Step-by-step explanation:
The sum of 27 and r is 27 + r
Since 27 + r cannot be simplified, 27 + r is our answer.
Hoped this helped
2) The mean mathematics SAT score in 2012 was 514 with a standard deviation of 117 ("Total group profile," 2012). Assume the mathematics SAT score is normally distributed. a. State the random variable. b. Find the probability that a person has a mathematics SAT score over 700. c. Find the probability that a person has a mathematics SAT score of less than 400. d. Find the probability that a person has a mathematics SAT score between a 500 and a 650. e. Find the mathematics SAT score that represents the top 1% of all scores.
The mathematics SAT score representing the top 1% of all scores is approximately 780.
a. The random variable in this case is the mathematics SAT score.
b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.
The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),
where X is the value we're interested in, μ is the mean, and σ is the standard deviation.
In this case, X = 700, μ = 514, σ = 117.
Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).
To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.
The probability is approximately 0.0564 or 5.64%.
c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.
X = 400, μ = 514, and σ = 117.
The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).
Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.
d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.
Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),
and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).
We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.
Let's assume the probability is approximately 0.3967 or 39.67%.
e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.
This z-score is approximately 2.33.
We can then use the z-score formula to calculate the corresponding SAT score.
Rearranging the formula,
\(X = (z \times \sigma ) + \mu\),
where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.
Substituting the values,
\(X = (2.33 \times 117) + 514 = 779.61\).
Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.
For such more questions on mathematics
https://brainly.com/question/29892643
#SPJ8
there a 158 beats per minute in a certain taylor swift song. if the song is 3 minutes and 30 seconds long, how many total beats are there
Answer:
553 beats
Step-by-step explanation:
At a certain non-profit organization, 65% of employees are college graduates and of employees have more than ten years of experience. If of the organization's employees both have more than ten years of experience and are college graduates, what is the probability that a randomly selected employee will be either a college graduate or have more than ten years of experience (or both)
Answer:
The probability is 27%.
Step-by-step explanation:
We are not given the percentage value for the employees, so we choose an assumed percentage value of 35%
Also; Let assume that if 73% of the organization's employees both have more than ten years of experience and are college graduates ....
Using the Set theory:
Let represent the college graduates to be group A; &
Let represent the experienced employees to be group B.
A = 65% of the population
B = 35% of the population; &
A U B (union of A and B) = 73%.
The objective here is to determine the probability that a randomly selected employee will be either a college graduate or have more than ten years of experience (or both)
i.e We need to determine the size of A ∩ B ; which is read as : (intersection of A and B )
(i.e the group of college grads with 10 yrs experience).
Thus;
P( A U B) = P(A) + P(B) - P(A ∩ B )
P(A ∩ B) = P(A) + P(B) - P(A U B)
P(A ∩ B) = 0.65 + 0.35 - 0.73 = 0.27
Thus ,the probability is 27%.
Based on a poll, 40% of adults believe in reincarnation. Assume that 5 adults are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.
What is the probability that exactly 4 of the selected adults believe in reincarnation?
The probability that exactly 4 of the 5 adults believe in reincarnation is enter your response here.
(Round to three decimal places as needed.)
Answer:
This problem can be solved using the binomial probability formula:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where X is the number of adults who believe in reincarnation, n is the sample size, k is the number of adults who believe in reincarnation, p is the probability of believing in reincarnation (0.40 in this case), and (n choose k) is the binomial coefficient.
For this problem, we want to find the probability that exactly 4 of the 5 adults believe in reincarnation. So, we plug in n=5, k=4, and p=0.40 into the formula:
P(X=4) = (5 choose 4) * 0.40^4 * (1-0.40)^(5-4)
= 5 * 0.40^4 * 0.60
= 0.1536
Rounding to three decimal places, the probability that exactly 4 of the 5 selected adults believe in reincarnation is 0.154.
(Please could you kindly mark my answer as brainliest you could also follow me so that you could easily reach out to me for any other questions)
The probability that exactly 4 of the 5 adults believe in reincarnation is 0.345.
What is reincarnation?Reincarnation is the philosophical or religious belief that the soul or spirit, after biological death, can begin a new life in a new body. This doctrine is a central tenet of the Indian religions such as Hinduism, Jainism, and Sikhism. The Buddhist and Taoist religions also hold similar beliefs. The idea of reincarnation is also found in many ancient cultures, such as those of the Ancient Greeks and Egyptians.
This can be calculated using the binomial probability formula, which is P(x) = nCx * px * (1-p)n-x,
where n is the number of trials (in this case, 5 adults),
p is the probability of success (in this case, 40%), and
x is the number of successes (in this case, 4).
Plugging in the given values, we get P(x) = 5C4 × 0.40⁴ × (1-0.40)¹ = 0.345.
To learn more about reincarnation
https://brainly.com/question/13753009
#SPJ1
T/F. victor found 5 cars online that he will go to see. the prices of the cars are: $5,000; $4,500; $5,500; $3,999; and $4,999. the median car price is $4,799.60.
False
The median car price is the one right in the middle of the price list. To find the median, we first need to rank the prices from lowest to highest.
The ordered price list looks like this:
$3,999; $4,500; $4,999; $5,000; The median price is $4,999, which is the median price. The average price is not $4,799.60.
Median is a measure of the central tendency of a dataset. The value that separates the top and bottom halves of the record. To find the median, we need to enter the values in the dataset in order from lowest to highest. If the dataset has an odd number of values, the median is the mean.
For example, given the following five values: For 3, 5, 7, 9, 11, the median is the median, so the median is 7. If the dataset has an even number of values, the median is the average of the two middle values. For example, given the following 6 values:
For 3, 5, 7, 9, 11, 13, the median is (7 + 9)/2 = 8. In this case, there are 5 values, which are odd, so the median is the median. , which is $4,999.
Read more about this on brainly.com/question/16688394
#SPJ4
At a local high school, 30% of the students are on a school sports team, 25% take at least one Advanced Placement (AP) class, and
10% are on a sports team and take at least one AP class. If a student was randomly selected from this school, what is the
probability that the student is on a sports team or takes at least one AP class?
Plz hurryyyy
0.45 will be the probability that the student is on a sports team or takes at least one AP class
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, At a local high school, 30% of the students are on a school sports team, 25% take at least one Advanced Placement (AP) class,
So,
Probability of Getting a student from a sports TeamP(A) = 0.3
Probability of Getting a student from an AP class P(B)= 0.25
Since 10% are on a sports team and take at least one AP class.
P(A ∩ B ) = 0.10
Thus,
P(A∪B) = P(A) + P(B) - P(A ∩ B )
P(A∪B) = 0.30 + 0.25 - 0.10
P(A∪B) = 0.45
therefore, the probability that the student is on a sports team or takes at least one AP class will be 0.45.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ1
Can someone help me with this? I want to understand each step.
Thank you
The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }
Given data ,
Let the geometric sequence be represented as A
Now , the value of A is
A = 12 ( -2/5 )ⁿ
On simplifying , we get
when n = 1
A₁ = 12 ( -2/5 ) = -4.8
A₂ = 12 ( -2/5 )²
A₂ = 12 ( 4/25 ) = 1.92
A₃ = 12 ( -2/5 )³
A₃ = -12 ( 8/125 ) = -0.768
A₄ = 12 ( -2/5 )⁴
A₄ = 12 ( 16 / 625 ) = 0.3072
A₅ = 12 ( -2/5 )⁵
A₅ = -12 ( 32 / 3,125 ) = -0.12288
Hence , the geometric sequence is solved
To learn more about geometric progression click :
https://brainly.com/question/1522572
#SPJ1
Simon and his relatives were gathering
for a family reunion. There were 9 pairs
of aunts and uncles. For every 3 uncles,
there were 4 cousins. There were also
2 grandparents, plus Simon's parents
and sister
How many people were at the reunion?
Answer:36
Step-by-step explanation:
1 +9+ +9+ 12+ 2+ 3+1 =36
Simon 1
9 Pairs pf aunts & uncles= 18
every 3 uncles theres 4 cousins=12
grandparents 2
parents 2
sister 1
PLS ANSWER ASAP THIS QUESTION IS WORTH ABOUT 50 POINTS PLS ANSWER PROPERLY PLS PLS
Raul paid $48 for a sweater. He also paid a 7% sales tax. How much was the tax and what was they total cost
Answer:
Tax: $3.36
Total Cost: 51.36
Step-by-step explanation:
First, we need to figure out the tax, which is 7% of 48. Meaning that the tax is $3.36. Then, we add that to the cost of the sweater which is $48, which means that the total cost is 3.36 + 48 = $51.36
Plz mark as brainliest :D