Approximate the data using the line y = 0.25x + 3. Find the data point that has the residual with the greatest absolute value. Give that data point and its associated residual. Data point: (20, 6); Residual = -2.00 Data point: (15, 5); Residual = 6.75 Data point: (5, 3); Residual = -1.25 Data point: (10, 10); Residual = 4.50
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Solution: We are given data points and associated residuals:
Data Point Residual Absolute value(Residual)
(20,6) -2.00 2.00
(15,5) 6.75 6.75
(5,3) -1.25 1.25
(10,10) 4.50 4.50
From the above absolute value(Residual) column, we clearly see the data point (15,5) has the residual with greatest absolute value of 6.75.
Therefore, the data point and its associated residual is:
(15,5) and 6.75
Answer:
Data Point: (10,10); Residual = 4.50
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A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
4. Find the slope and y-intercept.y= 1/5 x + 4
-1/2+c=31/4 solve for c I will give branliest
Your flight has been delayed: At Denver International Airport, 85% of recent flights have arrived on time. A sample of 14 flights is studied. Round the probabilities to at least four decimal places.(a) Find the probability that all 12 of the flights were on time.(b) Find the probability that exactly 10 of the flights were on time.(c) Find the probability that 10 or more of the flights were on time.(d) Would it be unusual for 11 or more of the flights to be on time?
Answers
Answer:
12.73%
Step-by-step explanation:
Given the annual rate is 12% compounded weekly.
Let's assume 1 yr=52weeks.
The effective interest rate is calculated as:
Hence, the effective rate for 12% compounded weekly is 12.73%
-The effective rate will be different when the number of compounding times is less than or more than 1 year.
- the effective rate is equal to the stated rate if the compounding number of times is once per year.
X=?
Y=?
Answers
Answer:
x=85
y=65
Step-by-step explanation:
Right angle equals 90
then 180-90-20=70
Opposite angle =70
so 70+25+x=180
x=180-70-25=85
when u know x ,then 180-85=95
y=360-90-110-95=65
On a graph, points are grouped closely together to form a line and increase.
On a graph, points are grouped closely together and decrease.
On a graph, points are grouped closely together to form a line and decrease.
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The scatter plot which shows the weakestpositive linear association is; On a graph, points are grouped closely together and increase.
Which scatterplot shows the weakest positive linear association?
It follows from the task content that the scatterplot which shows the weakest positive linear association be identified.
On this note, for an association to be positive, the graph must increase. However, the scenario described is a weak linear association, hence, the points don't necessarily form a line accurately, they just have to be closely together and increase.
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Answer:
c
Step-by-step explanation:
i got it right on the test
Answers
The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
What is Triangle?
A triangle is a three-sided polygon that consists of three edges and three vertices.
The ratio of the lengths of corresponding sides of triangles ABC and DEF.
AB and DE are corresponding sides, so:
AB/DE = (distance between A and B) / (distance between D and E)
= 2.5 / 5
= 0.5
BC and EF are corresponding sides, so:
BC/EF = (distance between B and C) / (distance between E and F)
=1.118 / 2.236
= 0.5
AC and DF are corresponding sides, so:
AC/DF = (distance between A and C) / (distance between D and F)
AC/DF = 2.236 / 4.472
= 0.5
We see that all three ratios are equal to 0.5.
Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
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Answer:
(A) the center of dilation is at (-2,-1)
(E) the scale factor is 2
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Answer:
-17/18< 3/5
Step-by-step explanation:
positive is always greater than negative
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The combination is a way of selecting items from a collection where the order of selection does not matter.
The number of ways five students form a group for an activity is 6944.
What is a combination?
The combination is a way of selecting items from a collection where the order of selection does not matter.
The formula for combination is given:
We have,
Number of students = 32
Number of students in a group = 5
The number of ways five students form a group:
=
n = 32 and r = 5
=
= 32! / 5! (32 - 5)!
= 32! / 5! 27!
= 32 x 31 x 30 x 29 x 28 / 5 x 4 x 3 x 2
= 6944
Thus,
The number of ways five students form a group for an activity is 6944.
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In general, it is the number of arrangements of 5 out of 35 (35P5) divided by the number of arrangements of 5 out of 5 (5P5), which reduces to
35P5/5P5 = 35!/((30-5)!) / (5!/(5-5)!) = 35!/(5!(30-5)!) = 35C5.
Substituting values
35C5 = 35!/(5!30!)=35*34*33*32*31/(1*2*3*4*5) = 324632 ways