Find 5 numbers that have a mean of 40 and a median and deviationof 35 and a mode of 25.
Answers
The 5 number are 25, 25, 35, 45 and 70 that has the mean of 40 and a median and deviation of 35 and a mode of 25.
Mean:
Mean is the sum of all observations divided by the number of observations.
Median:
Median defines the value of the middlemost observation, obtained after arranging the data in ascending or descending order.
Mode:
The value which appears most often in the given data i.e. the observation with the highest frequency is called a mode of data.
Given,
Mean = 40
Median = 35
Mode = 25
We know that the mean value is is the sum of all observations divided by the number of observations.
So, Let us consider v,w,x,y,z are the five numbers.
So it can be written as,
\(Mean=\frac{v+w+x+y+z}{n}\)
We know that,
Mean = 40 and n = 5.
Then,
\(40=\frac{v+w+x+y+z}{5}\)
Therefore,
=> v + w + x + y + z = 40 x 5
=> v + w + x + y + z = 200 --------------------------(1)
Here we know that the Median is 35.
The median in equation (1) is x,
So x = 35
And the mode is 25, we know that definition of mode so let us consider it will occurs at least twice,
So, the values of v = 25 and u = 25
Now apply the values on the equation,
=> 25 + 25 + 35 + y + z = 200
=> 85 + y + z = 200
=> y + z = 200 - 85
=> y + z = 115
So, here we have to take the combinations that gives the value of 115 and the values must be greater than 35.
So, the values are 45 and 70.
Therefore, the five numbers are 25, 25, 35, 45 and 70.
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Related Questions
whats 3x+34+23y=
frezz
Answers
Answer:
3x+34+23y, You can not add in this equation as there are no like numbers.
Step-by-step explanation:
Answer:
isnt it 60xy
Step-by-step explanation:
. suppose that 31% of adults have at least one tattoo. if you sample 90 random adults, what is the probability that 33% or more of them have a tattoo?
Answers
We find that the probability of observing 33% or more adults with tattoos in a sample of 90 random adults is approximately 0.2717.
What is binomial expansion?The binomial expansion is a formula that provides a way to expand a binomial expression raised to a positive integer power. A binomial expression is a polynomial with two terms, such as (a + b), and a positive integer power is an exponent that is a whole number greater than zero, such as (a + b)².
Using this formula, we can calculate the probability that X is greater than or equal to 30:
P(X ≥ 30) = Σ P(X = k) for k = 30 to 90
This summation can be quite tedious to calculate by hand, but it can be easily done using a calculator or a statistical software program. For example, using a calculator or a spreadsheet program, we can calculate:
P(X ≥ 30) = 1 - binomdist(29, 90, 0.31, true)
where binomdist is the binomial cumulative distribution function that calculates the probability of observing up to a certain number of successes in a given number of trials with a given probability of success. The argument true tells the function to calculate the cumulative probability for X being less than or equal to 29, so we subtract this value from 1 to get the probability of X being greater than or equal to 30.
Using this formula, we find that the probability of observing 33% or more adults with tattoos in a sample of 90 random adults is approximately 0.2717.
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.A radio station sends a signal in a circular
area with an 80-mile radius. Find the
approximate area in square kilometers that
receives the signal. (Hint: 1 square mile z
2.6 square kilometers)
Answers
Answer:
52,249.6
Step-by-step explanation:
Can absolute value equal zero?
Answers
Answer:
yes
Step-by-step explanation:
The absolute value is only greater than or equal to zero.
if suzzie reads45 book in 15 days how many books did she read in 1 day
Answers
Answer: 3 books
Step-by-step explanation: if she reads three books each day as 15 days pass, she would have read 45 books. 3 x 15 = 45. hope this helps
Answer:
3 books each day
Step-by-step explanation:
45 books
15 days
45÷15 =3
Simplify. 9-
(2x+4)
Answers
Answer:
-2x+5
Step-by-step explanation:
Answer:−
-2x + 5
Step-by-step explanation:
distribute:
9 - 1 (2x + 4)
9 -2x -4
Subtract the numbers:
9 - 2x -4
5 - 2x
Hope this helps!
ps: don't forget to order the summands after you subtract
Please help me it would mean a lot.
Answers
Answer:
measure of angle ROQ is 41.5º
Step-by-step explanation:
That little curved line inside the angle POR and angle ROQ means they are congruent, or have congruent angles. So, we have two of the same angles, which we can represent with the same variable: x.
114-31= 83
83=2x
83/2 = 41.5
x=41.5
Six girls and four boys have entered the science fair. First, second, and third place awards are to be given out.
What is the probability that a girl wins the first place award while boys will receive the second and third place awards? Express your answer as a percent.
10%
14%
18%
22%
Answers
Answer:
A). 10%
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Please help this is my last question no links please
Answers
Answer:
i will say the second one
Step-by-step explanation:
HELLPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!
Answers
Answer:
b.
Step-by-step explanation:
b. or the second answer
How do you
Expand y(3+t)
Answers
Answer:
3y+ty
Step-by-step explanation:
you do y x 3= 3y
then you do t x y= ty
Which of the following is not a benefit of stressing
1. Poor circulation
2. Increased speed and power
3. Increased flexibility
4. Minimized chances of injuries
Which of the following is not in upper body stretch?
1. Arms circles
2. Trunk twist
3. Straddle stretch
4. Triceps stretch
Answers
The option that is not a benefit of stretching is 1. Poor circulation
The option that is not in upper body stretch is 3. Straddle stretch
What are the Advantages of Stretching?The benefits include:
Increase your physical activity performance.Reduce your risk of injury.Assist your joints in moving through their entire range of motion.Increase blood flow to the muscles.Allow your muscles to work as efficiently as possible.Improve your ability to perform daily tasks.The straddle stretch is one that is not considered an upper body stretch. Straddle stretch, also known as the middle split, requires a lot of leg flexibility. In conclusion, the correct option is C.
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Leonel is building a circular table with a diameter of 5 feet. The wood costs $35.50 per square foot. How much will it cost Rafael to make the table? Use 3.14 to approximate π. Enter your answer in the box.
Answers
Answer:
$696.70
Step-by-step explanation:
The formula for the area of a circle is given as πr²
From the above question
π = 3.14
Diameter = 5 feet
Radius = Diameter/2 = 5 feet/2 = 2.5 feet
Hence,
The area of the circular table = 3.14 × 2.5²
= 19.625 ft² or 19.625 square foot
We are told that:
The wood costs $35.50 per square foot
Hence,
1 ft² = $35.50
19.625 ft² = x
Cross Multiply
x = 19.625 ft² × 35.50
x = $696.6875
Approximately = $696.70
Therefore, it will cost Rafael $696.70 to make the table.
if the nth term of a sequence is 5n + 2 what is the 8th term
Answers
t(8) = 5*8+2
=42
hence 8th term is 42
PLEASE DO THESE NEEDED !!!!!!!!!!!!!!!!!!! PLEASE
Answers
Answer:
hope this works
Step-by-step explanation:
A1-x= 5
A2-x= 9
A3-x= 4
A4-x= -5
B1-x= 11
B2-x= 21
B3-x= 2
B4-x= -8
C1-x= 6
C2-x= 7
C3-x= 22/3 or 7.33
C4-x= 4.5
D1-x= 14
D2-x= 30
D3-x= 24
D4-x= 108
1) r= 10
2) n= -4
3) p= -9
4) r= 6
5) k= -4
6) n= 15
The store offers in-house financing. Why would the store want to do something like that?
Answers
Answer:because it just a word problem
Step-by-step explanation:
like i said it just a word problem
if i were to roll a dice one time what is the probability of it landing on an even number?
Answers
Answer:
50% chance, 3/6
Step-by-step explanation:
there are 6 numbers on a die, 1,2,3,4,5,6. 3 even and 3 odd
Answer:
50%
Step-by-step explanation:
even numbers on a dice: 2,4,6
odd numbers:1,3,5
3/6= 0.5
probability is 50%
Which rule describes the composition of transformations that maps ΔJKL to ΔJ"K"L"?
90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y
Translation of 0 units x, negative 2 units y composition 90 degree rotation about point 0
90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y
Translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0
Answers
A rule which describes the transformations that maps ΔJKL to ΔJ"K"L" is: D. translation of -2 units x, 0 units y composition 90 degree rotation about point 0.
What is a transformation?A transformation refers to the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
In Geometry, there are different types of transformation and these include the following:
DilationReflectionRotationTranslationBased on the diagram (see attachment), we can infer and logically deduce that a rule which describes the transformations that maps triangle JKL to triangle J"K"L" is a rotation of 90 degrees about the origin and then translated 2 units left.
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rank the steps involved in transforming one couple to another couple in a parallel plane in the correct order.
Answers
To rank the steps involved in transforming one couple to another couple in a parallel plane, here is the correct order:
Identify the initial couple and the desired final couple.
Determine the translation vector that will move the initial couple to the desired final couple.
Translate the initial couple using the determined translation vector. This will shift the entire couple in the parallel plane.
Verify that the translation has successfully moved the initial couple to the desired final couple.
If necessary, make any additional adjustments or transformations to align the initial and final couples precisely in the parallel plane.
Confirm that the final couple is now in the desired position and orientation relative to the initial couple, maintaining the parallelism of the plane.
By following these steps in order, you can effectively transform one couple to another in a parallel plane.
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The coordinates P(0, 1), Q(3, 2), R(5, -4) form a right triangle
Answers
It's prooved that angle PQR is 90° as the slope of line PQ and QR is ⅓ and - 3/1 respectively. Therefore triangle PQR is a right triangle.
To determine whether or not triangle PQR is a right triangle first we need to find slope of PQ , QR and PR whose coordinates are P(0, 1), Q(3, 2), and R(5, -4).
So, Slope of line PQ(m) = (2-1)/(3-0)
m = ⅓
and the slope of QR(m') = (-4-2)/(5-3)
m' = - 3/1
As we know, if two lines are perpendicular then product of there slope will result in (-1).
such as m × m' = - 1.
⅓ × (-3/1) = - 1
Hence proved that line PQ and QR are perpendicular to each other.
Therefore triangle PQR is a right triangle.
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—------------- CORRECT QUESTION FORMAT IS GIVEN BELOW —---------
(Q). Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is a right triangle.
d= a x b Suppose that a is a positive number. Different model forms result from varying the constant b. Sketchthe graphs of this model for b = 0, b = 1, 0b1, b0, and b1. What does each model tell you aboutthe relationship between demand and marketing effort? What assumptions are implied? Are theyreasonable? How would you go about selecting the appropriate model?
Answers
To determine the validity of the argument that "Mr. Einstein is a professor," we can use a Venn diagram. Here's how to
do it:Step 1: Draw two overlapping circles, one for "Professors" and one for "People who wear glasses."Step 2: Label the circle for professors "P" and the circle for people who wear glasses "G."Step 3: Write "Some professors wear glasses" in the area where the circles overlap.Step 4: Write "Mr. Einstein wears glasses" in the area that represents
people who wear glasses but are not professors.Step 5: We cannot conclude that Mr. Einstein is a professor based solely on these premises since there are people who wear glasses but are not professors. Therefore, the argument is invalid.Here is a visual representation of the
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The city is planting new trees in its downtown to make the streets more comfortable for visitors.
They are planting each tree 1212 feet apart.
How many trees can they plant on 22 miles of streets? 52805280 feet = 11 mile.
trees
Answers
Answer:
880
Step-by-step explanation:
PLEASE HELP THIS IS SO IMPORTANT
Answers
Answer:
1. is moving to the left by 4 and 2. is moving up by 4
Step-by-step explanation:
Sensitivity of two new types of sensors, S1 and S2, to excessive levels of a particular air pollutant is tested. The probability that the sensor S1 detects excessive pollution is 0.7, the probability that the sensor S2 detects excessive pollution is 0.8, and the probability that both of the sensors detect excessive pollution is 0.6. Using the set-theoretical language, describe each of the following events. Then, compute the probability of the events. You can use either the formulas or a Venn diagram. a) at least one sensor detects the pollutant. b) either only S1 or only S2 detect the pollutant. c) S1 does not detect, and S2 detects the pollutant. d) S2 fails to detect the pollutant.
Answers
The probability that at least one sensor detects the pollutant is 0.9.The probability that either only S1 or only S2 detects the pollutant is 0.5.The probability that S1 does not detect the pollutant, and S2 detects the pollutant is 0.2.The probability that S2 fails to detect the pollutant is 0.3.
The event "at least one sensor detects the pollutant" refers to the scenario where either S1 or S2 (or both) detect the excessive pollution. This can be visualized as the union of the two events: S1 detecting the pollutant (event A) and S2 detecting the pollutant (event B). The probability of event A is 0.7, the probability of event B is 0.8, and the probability of both events A and B occurring together is 0.6. By applying the principle of inclusion-exclusion, we can calculate the probability of the union as P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.7 + 0.8 - 0.6 = 0.9.
The event "either only S1 or only S2 detects the pollutant" can be represented as the exclusive OR (XOR) of the two events: S1 detecting the pollutant without S2 detecting it (event A) and S2 detecting the pollutant without S1 detecting it (event B). Since the probabilities of events A and B are not explicitly given, we assume that they are equal. Let's denote this probability as p. Therefore, the probability of either event A or event B occurring is 2p. Given that the sum of probabilities of all possible outcomes is equal to 1, we have 2p + P(A ∩ B) = 1. We are also given that P(A ∩ B) = 0.6. Solving these equations simultaneously, we find that p = 0.2. Hence, the probability of the event "either only S1 or only S2 detects the pollutant" is 2p = 2 × 0.2 = 0.4.
The event "S1 does not detect, and S2 detects the pollutant" is the complement of S1 detecting the pollutant (event A) intersected with S2 detecting the pollutant (event B). The probability of event A is 1 - P(S1 detects) = 1 - 0.7 = 0.3. The probability of event B is P(S2 detects) = 0.8. The probability of both events A and B occurring together is given as P(A ∩ B) = 0.6. Therefore, the probability of the event "S1 does not detect, and S2 detects the pollutant" is P(A' ∩ B) = P(A ∩ B') = P(A) - P(A ∩ B) = 0.3 - 0.6 = 0.2.
The event "S2 fails to detect the pollutant" is the complement of S2 detecting the pollutant. Therefore, the probability of this event is 1 - P(S2 detects) = 1 - 0.8 = 0.2.
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6. CHALLENGE How many sides does a
regular polygon have if the measure of
an interior angle is 171°?
Answers
Answer:
40
Step-by-step explanation:
It is given that the measure of interior angle of a polygon is 171∘ . So, the correct answer is “ 40 ”.
The base of a rectangular prism has an area of 888 square meters. The height of the rectangular prism is 555 meters.
Answers
PLEASE HELP Consider the expression 4x + 15. Write a real-world problem that can be solved using the expression. What does the variable represent in this problem?
Answers
Simplify to an expression involving a single trigonometric function with no fractions.
cos(−x)+tan(−x)sin(−x)
Answers
Sec x is the simplified expression cos(−x)+tan(−x)sin(−x) involving a single trigonometric function with no fractions.
The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
The Given expression is
cos(−x)+tan(−x)sin(−x)
Now,
cos(−x) + tan(−x)sin(−x)
= cos x + (- tan x) (- sin x)
= cos x + tan x * sin x
= cos x + (sin x / cos x) * sin x
= (cos²x + sin²x) / cos x ( As sin²x + cos²x = 1)
= 1/ cos x
= sec x (As sec x = 1/cos x)
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Analysis of data from a statistical study shows a linear relationship in the data with a correlation coefficient of -0.524. Which statement best summarizes this result? O There is a strong positive correlation between the variables. O There is a strong negative correlation between the variables. O There is a moderate positive correlation between the variables.O There is a moderate negative correlation between the variables.
Answers
The best summarizes for the result is:
O There is a moderate negative correlation between the variables.
CORRELATION COEFFICIENTA correlation coefficient measures the strength and direction of the relationship between two variables. The coefficient ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.
In this case, the correlation coefficient of -0.524 indicates a moderate negative correlation between the variables. This means that as the value of one variable increases, the value of the other variable decreases, and vice versa. The negative sign indicates that the relationship is negative, and the absolute value of the coefficient (0.524) indicates that the relationship is moderate in strength.
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Please help. I need to show the work.
