Answer:
p= 9(6)+3(-4)
p= 42
hope this help
Answer:
42
Step-by-step explanation:
P=9r+3q
When q equals to a negative 4 and when r is aswell the number 6.It means to substitute
P=9(6)+3(-4)
p=54-12
p=42
The owner of the car dealership decides to treat the value 22 as an outlier.which measure of center or spread is affected the most if the owner removes this outlier ?
Answer:
See explanation
Step-by-step explanation:
Solution:-
- The effect of an outlier on the mean, median and range is to be investigated.
- Mean: It is the average of all the values. If the outlier "22" is lies on the upper spectrum of the center value. If the outlier is removed the value of center or mean will decrease.
- Median: The median value is mostly defined as the value around which their is a cluster of data. The value of the outlier "22" if close to that cluster of data points is omitted there will be small deviation in the value of median. If the value of the outlier "22" if far away to that cluster of data points is omitted there will be significant deviation in the value of median.
- Range: Is defined by the uppermost and lowermost value from a set of data points that is considered. The value of outlier will equally effect either of these limits depending where the outlier lies close to upper limit or lower limit of the range.
The mean is the measure of center most affected by an outlier, especially in a skewed distribution. The range and standard deviation, measures of spread, will also be notably impacted by the removal of an outlier.
The removal of the value 22 as an outlier from a set of data will affect measures of center and spread, with the mean being the measure of central tendency most susceptible to change due to an outlier. The standard deviation and range are measures of spread that would also be influenced when removing an outlier, especially if the dataset is not symmetrical. However, the median and mode are more robust to outliers and would likely be less affected by the removal of a single value.
In the context of a car dealership data analysis where the sales are right-skewed, indicating that higher values are more variable, the inclusion of a high outlier can raise the mean significantly. By removing the outlier, the mean will decrease, potentially providing a more accurate representation of the central tendency of the data. The range will also decrease, as the outlier might be the highest value in the set. The standard deviation might decrease as well, as it measures the average distance from the mean, which would be less skewed without the outlier.
What is the solution to the equation?
6x-3=3x+12
Answer:
x=5
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
6x−3−3x=3x+12−3x
3x−3=12
Step 2: Add 3 to both sides.
3x−3+3=12+3
3x=15
Step 3: Divide both sides by 3.
3x/3=15
x=5
The solution to the equation 6x - 3 = 3x + 12 is x = 5.
We have,
To solve the equation 6x - 3 = 3x + 12 for x, we can follow these steps:
Begin by isolating the x-terms on one side of the equation.
To do this, subtract 3x from both sides:
6x - 3 - 3x = 3x + 12 - 3x
Simplifying
3x - 3 = 12
Next, move the constant term (-3) to the other side by adding 3 to both sides:
3x - 3 + 3 = 12 + 3
Simplifying:
3x = 15
Finally, divide both sides of the equation by 3 to solve for x:
3x / 3 = 15 / 3
Simplifying:
x = 5
Therefore,
The solution to the equation 6x - 3 = 3x + 12 is x = 5.
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Question A) Work out the distance travelled on a cycle in the first 14 seconds.
Answer:
96m
Step-by-step explanation:
distance traveled =
area of the graph( up to 14 sec)
= (1/2*4*8)+(8*10)
= 16 + 80 = 96
The distance traveled by a cycle in a certain time is calculated by the formula 'distance = velocity x time'. But without the velocity (speed of the cycle), we cannot calculate the covered distance.
Explanation:To find the distance covered by a moving object, we use the formula distance = velocity x time. However, from your query, it seems we don't have the velocity (speed of the cycle) given. Once we know the velocity (say in km/hr or m/s), we can simply multiply it with the time (in this case 14 seconds) to get the distance covered. For example, if the velocity was 1 m/s, the distance covered in 14 seconds would be just 1m/s x 14s = 14 meters.
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***EASY***** HELP!!!!!! i have been crying over this problem for an hour. please help
Answer:
UT = 15
Step-by-step explanation:
Its okay this was a hard one to know. since its a 90 degrees angle you can use the Pythagorean theorem.
A^2 + B^2 =C^2
but in this case they give you c and as for b
so it be C^2 - A^2 = B^2
17^2 - 8^2 = B^2
289 - 64 = B^2
225 = B^2
now you square both sides getting B = [tex]\sqrt{225}[/tex]
A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28
Answer:
The answer is 14 hits!
Step-by-step explanation:
This is because of dividing 28 by 8: so you get 3.5. Use the 3.5 and times it by the amount of hits: which is 4. Then BOOM, you got yourself 14 hits!
3 friends split the cost of renting a boat. Each person rented a life preserver. The cost of the boat was $120. The total cost for the boat and life preservers was $135. Write and solve an equation to find the cost of renting a life preserver?
Answer:
boat rent: $40/per person
Life preserver: $5/per person
Step-by-step explanation:
120 ÷ 3 = 40
135 ÷ 3 = 45
45 - 40 = 5
Given a linear function y =23x+2, which two points make the line?
(0, -2) and (3, 4)
(0, 2) and (3, 4)
(0, 0) and (2, 3)
(2, 3) and (0, 0)
Answer:
(0, 2) and (3, 4)
Step-by-step explanation:
The equation is in slope-intercept form:
y = mx +b . . . . . a line with slope m and y-intercept b
So, you know immediately that the y-intercept is (0, 2). This matches only one answer choice.
(0, 2) and (3, 4)
Would you rather buy 18 eggs at this price 2/$8.00 or 18 eggs at this price? $.97 buy 2 get one free
Answer:
you should by 18 eggs at the second price.
Step-by-step explanation:
my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.
Answer:
Answer: you should by 18 eggs at the second price. Step-by-step explanation: my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.
Step-by-step explanation:
Answer: you should by 18 eggs at the second price. Step-by-step explanation: my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.
A circle with area \blue{81\pi}81πstart color #6495ed, 81, pi, end color #6495ed has a sector with a central angle of \purple{120^\circ}120 ∘ start color #9d38bd, 120, degrees, end color #9d38bd. What is the area of the sector?
Answer:
27π
Step-by-step explanation:
trust me, it's right lol
What is the answer to this question
A família Oliveira consiste no pai, na mãe e em alguns filhos. A idade média da família é de 18 anos. Sem contar com o pai, que tem 38 anos, a idade média familiar diminui para 14 anos. Quantos filhos tem a família Oliveira? a) 2 b) 3 c) 4 d) 5 e) 6
Answer: e) 6
Step-by-step explanation:
Let x be mother + children = 18
Father's age = 38
Average age of the family = 14
38 + 18x /( x + 1 )= 14
Opening the bracket
38 + 18x = 14x + 14
Collecting like terms
24 = 4x
x = 6
no of children in the family is 6.
If KM is drawn on this quadrilateral, what will be its length?
18
45M
16 units
18 units
40 units
45 units
The length of KM on the quadrilateral would be 18 units .
Using the following Information from the quadrilateral;
The sides JM and KL are parallel , This means that :
KL||JM.The length of the diagonals of the quadrilateral would be the same .
JL = KM (diagonals of Isosceles trapezoid are equal)From the question ;
JL = 18
JL = KM = 18 (diagonals of isosceles trapezoid are equal)Then ;
KM = 18
Hence, the length of KM would be ; 18 units .
You are comparing phone plans. Q company charges a one time fee of $25 and then $3 per month. W company charges a one time fee of $60 and then $1 per month. How many months until the two companies have the same cost
Answer:
17 1/2 months or rounded up to 18
Step-by-step explanation:
so first you need to set up an equation,
lets do company Q first..
because the monthly fee is 3 bucks thats gonna be the number that goes hand in hand with x so lets put that down
Q - 3x
now we have to add our one time fee of 25 dollars
Q - 3x + 25 .. bam thats our first equation
lets do the same thing for our next company
W - x + 60
( because the fee is one dollar, theres no reason to put 1x, its not mathematically correct, so we just leave it as x )
so now we have to set up the equation together, and because we are trying to find when the two will meet and have an EQUAL cost we make them equal to each other
so
3x + 25 = x + 60
if you solve it...
2x + 25 = 60
2x + 35
x = 17.5
Translate this sentence into an equation.
72 is the sum of 20 and Chau's age.
Use the variable c to represent Chau's age.
Answer:
c+20=72
Step-by-step explanation:
In ΔCDE, the measure of ∠E=90°, the measure of ∠D=38°, and DE = 12 feet. Find the length of CD to the nearest tenth of a foot.
Given:
Given that the triangle CDE is a right triangle.
The measure of ∠E is 90° and ∠D is 38°
The length of DE is 12 feet.
We need to determine the length of CD.
Length of CD:
The length of CD can be determined using the trigonometric ratio.
Thus, we have;
[tex]cos \ \theta=\frac{adj}{hyp}[/tex]
where [tex]\theta=D[/tex] and the side adjacent to angle D is ED and hypotenuse is CD.
Substituting these values, we get;
[tex]cos \ D=\frac{ED}{CD}[/tex]
where ∠D = 38°, ED = 12 feet.
Substituting, we get;
[tex]cos \ 38^{\circ}=\frac{12}{CD}[/tex]
Simplifying, we have;
[tex]CD=\frac{12}{cos \ 38^{\circ}}[/tex]
[tex]CD=\frac{12}{0.788}[/tex]
Dividing, we get;
[tex]CD=15.2[/tex]
Thus, the length of CD is 15.2 feet.
Answer:
51.6
Step-by-step explanation:
its because you have to use cos toh and all of the calculator functions
Solve each equation -3(n+5)=27
Answer:
n = − 14
Step-by-step explanation:
-3(n+5)=27
-(3n+3·5)=27
-(3n+15)=27
Please mark me brainliset if this helped (I need it)
Answer: n=4
Step-by-step explanation:
A weather forecast during September says that it will likely rain two out of the next five days. If the weather does not change, how many days will it likely rain in the month of September (30 days)?
A. 2/30
B. 5/30
C. 12/30
D. 75/30
Answer:
C. 12/30
Step-by-step explanation: 2/5 for every 5 days and there are 30 days in September so there is already 2/5 so 5 days are already in place so add 2 to the 2/5 and 5 to the 2/5 on their corresponding numbers until the five reaches thirty then the 2 will reach 12. Happy to Help.
The slide is 4 meters due west of the tire swing and 3 meters due south of the monkey bars. What is the distance between the tire swing and the monkey bars?
Answer:
The distance between the tire swing and the monkey bars = 5 m
Step-by-step explanation:
Given:
Distance between tire swing and the slide = 4 m
Distance between monkey bars and slide = 3 m
We have to find the distance between tire swing and the monkey bars.
Let the distance be "h" meters.
From the diagram we can see that when they are arranged they form a right angled triangle.
Where the distance we have to find is the hypotenuse of the triangle.
Using Pythagoras formula:
⇒ (hypotenuse)^2 = (base)^2 + (perpendicular)^2
Plugging the values:
⇒ [tex](hypotenuse)^2 = (base)^2 + (perpendicular)^2[/tex]
⇒ [tex]h^2=b^2+p^2[/tex]
⇒ [tex]h=\sqrt{b^2+p^2}[/tex]
⇒ [tex]h=\sqrt{(4)^2+(3)^2}[/tex]
⇒ [tex]h=\sqrt{16+9}[/tex]
⇒ [tex]h=\sqrt{25}[/tex]
⇒ [tex]h=5[/tex] m
So,
The distance between the tire swing and the monkey bars = 5 m
What percent of Coach passengers did not check bags
Answer:B is the Answer
Step-by-step explanation:
Suppose that 35% of all voters voted for a recall. Find the mean of the sampling distribution of the proportion of the 3150 people sampled in an exit poll who voted for the recall.
Answer:
0.35 is the mean of the sampling distribution of the proportion.
Step-by-step explanation:
We are given the following in the question:
Percentage of voters who voted for recall = 35%
[tex]p = 35\% = 0.35[/tex]
Sample size, n = 3150
We have to find the mean of the sampling distribution.
Formula for mean of sampling distribution:
[tex]\mu = p[/tex]
Putting values, we get,
[tex]\mu = 0.35[/tex]
Thus, 0.35 is the mean of the sampling distribution of people sampled in an exit poll who voted for the recall.
The blueprints of a house show that a wall is 3.5 inches long. If the blueprints have a map scale of 1.5 inches = 3 feet, how long is the actual wall?
Step-by-step explanation:
Given the blueprints of a house show that a wall is 3.5 inches long.
Length of the wall = 3.5 inches
Mpa scale used in blue print is,
1.5 inches = 3 feet
Such that 1 inch = 2 feet
Length of the wall = 3.5 inches = 3.5 * 2 = 7 feet
The length of the actual wall = 7 feet
If angle a measures 67 degrees ,how much does angle b measure ?
Answer:
∠ b = 23°
Step-by-step explanation:
Complementary angles sum to 90°, thus
∠ a + ∠ b = 90°, that is
67° + ∠ b = 90° ( subtract 67° from both sides )
∠ b = 23°
The monthly salary of workers in the public works department is $1,500, $3,000, $3,500, $3,500, $4,000, $4,500, $5,000, $6,000, $6,500, $6,500, and $9,000. Explain the impact of the outlier(s) on the measure of central tendency for this data set.
1.There is a minimal increase to the mean because there is a low outlier and a high outlier in the data set.
2.There is a minimal decrease to the mean because there is a low outlier and a high outlier in the data set.
3.There is a large increase to the mean because of the $9,000 outlier.
4.There is a large decrease to the mean because of the $1,500 outlier.
Answer:
(B) median because there is an outlier
Step-by-step explanation:
The given data is as follows:
{1, 4, 9, 4, 10, 8, 42}
We can see from the given data that 42 is a data point which differ greatly from the other data points, and from the definition of OUTLIER that is a data point that differ greatly from the trend expressed by the other values in the data set.
Thus, 42 is an outlier.
Now, We have to find the center for the given data set, thus we will use the median as the definition of median states that median is the middle value of the data set.
Therefore, the best measure to find the center of the given data will be median because there is an outlier 42 present in it.
Thus, option B is correct.
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Step-by-step explanation:
I need help asap :&/$/$/
Answer:
A
Step-by-step explanation:
The equation must equal 50 and the 4 should be added not multiplied
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1. She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. How do the properties of operations allow Patti to take that approach?
Answer:54
Step-by-step explanation:
Answer:
D. She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1
Step-by-step explanation:
The steps to convert 37 over 4 to a decimal are shown below:
Division is shown with divisor 4, quotient 9.21, and dividend 37 labeled as Step 1. The numbers below 37 in sequence are subtract 36 lebeled as Step 2, 10 labeled as Step 3, subtract 6 labeled as step 4, 4, subtract 4, and 0.
In what step is the first error?
Answer:
Step 4
Step-by-step explanation:
We are given that
[tex]\frac{37}{4}[/tex]
We have to convert [tex]\frac{37}{4}[/tex] into decimal.
Divisor:The number which divides the dividend.
Dividend:The number which is divided by divisor.
Quotient:The number obtained when the divisor divides the dividend.
[tex]\frac{37}{4}=9.25[/tex]
Step:1
Dividend 37
Step 2:
37
-36
=1
Step 3:
10
Step 4:
10
-8
=2
Step 5:
20
-20
=0
Hence, the first error in step 4.
Suppose 20% of the population are 65 or over, 26% of those 65 or over have loans, and 53% of those under 65 have loans. Find the probabilities that a person fits into the following categories. (a) 65 or over and has a loan (b) Has a loan (c) Are the events that a person is 65 or over and that the person has a loan independent? Explain.
Answer:
(a)The probability that a person 65 or over and has a loan is 0.052.
(b)The probability that a person 65 or over and has a loan is 0.476
(c) The probability that a person is 65 or over and has a loan independent is 0.0952
Step-by-step explanation:
Conditional probability:
Let A and B any two event is connected to a given random experiment E. The conditional probability of the event A on the hypothesis that the event B is occurred, denoted by P(A|B), is defined as,
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]
So, P(A∩B) = P(B).P(A|B)
Given that,
The age of 20% of population are 65 years or over.
26% of those whose age 65 years or more have loans.
53% of those whose age under 65 years have loans.
E= the person is 65 or more.
F= the person has loan.
P(E)= 20%=0.2
P(F|E)=26%=0.26
P(F|E')=53%=0.53
So,
P(E')=1-0.2=0.8
P(F'|E)= 1-0.26=0.74
P(F'|E')= 1-0.53=0.47
(a)
The probability that a person 65 or over and has a loan is
=P(E∩F)
=P(F|E).P(E)
=0.26×0.2
=0.052
(b)
A person who has a loan either 65 or more , or under 65.
P(F)= P(F∩E)+P(F∩E')
=P(F∩E)+P(E').P(F|E')
= 0.052+ (0.8).(0.53)
=0.476
(c)
Independent event:
If A and B are two independent event,
Then,P(A∩B)=P(A).P(B)
The probability that a person is 65 or over and has a loan independent is
=P(E∩F)
=P(E).P(F)
=(0.2)×(0.476)
=0.0952
The probability that a person is 65 or over and has a loan is 0.052, the probability that a person has a loan is 0.476, and the probability that a person is 65 or over and that the person has a loan independent is 0.0952.
Given :
Suppose 20% of the population are 65 or over, 26% of those 65 or over have loans, and 53% of those under 65 have loans.
Let A represent the person who is 65 or more and B represents the person who has a loan.
If (P(A) = 20% = 0.2) then (P(A') = 1 - 0.2 = 0.8)
If (P(B|A) = 26% = 0.26) then (P(B'|A) = 1 - 0.26 = 0.74)
If (P(B|A') = 53% = 0.53) then (P(B'|A') = 1 - 0.53 = 0.47)
a) The probability that a person is 65 or over and has a loan is:
[tex]\rm = P(A\cap B)[/tex]
[tex]\rm = P(B|A)\times P(A)[/tex]
[tex]=0.26\times 0.2[/tex]
= 0.052
b) The probability that a person has a loan is:
[tex]\rm P(B) = P(A\cap B)+P(B\cap A')[/tex]
[tex]\rm = P(B \cap A)+P(A')\times P(B|A')[/tex]
[tex]=0.52+0.8\times 0.53[/tex]
= 0.476
c) The probability that a person is 65 or over and that the person has a loan independent is:
[tex]= \rm P(A\cap B)[/tex]
= P(A).P(B)
= (0.2)[tex]\times[/tex](0.476)
= 0.0952
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What's 0.11 as a fraction?
Answer:
11/100
Step-by-step explanation:
5
y=2x+5y, equals, 2, x, plus, 5
Complete the missing value in the solution to the equation.
Answer:
(2,9)
Step-by-step explanation:
It's on khan
The missing value is 9 in the solution to the given equation y = 2x + 5.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question
y = 2x + 5 ....(i)
The one value is 2 in the solution to the equation
To determine the missing value, we have to substitute the value of x = 2 in the given equation.
As per the question, we have
⇒ y = 2x + 5
⇒ y = 2(2) + 5
Apply the multiplication operation,
⇒ y = 4 + 5
Apply the addition operation,
⇒ y = 9
Therefore, the missing value is 9 in the solution to the given equation.
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The question seems to be incomplete the correct question would be
y = 2x + 5 Complete the missing value in the solution to the equation. (2, [] )
Adam wants to compare the fractions 2 over 5, 1 over 6, and 1 over 3. He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how Adam can rewrote the fractions. I'm in 4th grade to..
Answer:
Least to greatest should be 1 over 6, 1 over 3, and then 2 over 5. least to greatest with the same denominator should be 5 over 30, 10 over 30, and 12 over 30
Step-by-step explanation:
First step is to find the common denominator, which is 30. Then you want to figure out how you got to 30 and multiply that by nominator. after you have that all complete, then just sort from least to greatest. To listed from least to greatest is you take the smallest number, for example which would be 5 over 30 and then sorts continuously from the greater number as well, which would be 12 over 30