Answer:
Step-by-step explanation:
X Y X² Y² XY
993 50 986049 2500 49650
995 60 990025 3600 59700
994 60 988036 3600 59640
1006 40 1012036 1600 40240
942 120 887364 14400 113040
1002 40 1004004 1600 40080
[tex]\sum X: 5932[/tex] [tex]\sum Y : 370[/tex] [tex]\sum X^2 : 5867514[/tex] [tex]\sum Y^2 = 27300[/tex] [tex]\sum XY : 362350[/tex]
To determine the regression:
[tex]Mean \ (X) = \dfrac{\sum X }{n} \\ \\ = \dfrac{5932}{6} \\ \\ = 988.67[/tex]
[tex]Mean \ (Y) = \dfrac{\sum Y}{n} \\ \\ = \dfrac{370}{6} \\ \\ = 61.67[/tex]
Intercept [tex]b_o = \dfrac{\sum YX *\sum X^2 - \sum X \sum Y}{n(\sum X^2) - (\sum X)^2}[/tex]
[tex]=\dfrac{370(5867514) -(5932)(370)}{6(5867514) - (5932)^2}[/tex]
= 131760.9563
Slope [tex]b_1 = \dfrac{n(\sum XY) -(\sum X *\sum Y) }{n(\sum X^2)-(\sum X)^2}[/tex]
[tex]b_1 = \dfrac{6(362350) -(5932*370) }{6(5867514)-(5932)^2}[/tex]
[tex]b_1 = -1.2600[/tex]
The regression line equation [tex]Y = b_o +b_1X[/tex]
[tex]Y = 131760.96 -1.2600 X[/tex]
We then make a comparison of the slope of the equation to y = mx+c
slope of the equation = -1.2600
the y-intercept corresponds to when X = 0, thus:
y-intercept = 131760.9563
Yes, it is reasonable to interpret the y-intercept of the regression line, Using atmospheric pressure as an explanatory variable due to the fact that:
X is the independent variable and Y exists as the dependent variable.
i already have A but I do not have B
Answer:
-4 , -1 , -2 , 0 , +1 , +3
Step-by-step explanation:
Answer:
the integers -4,-2,-1,0, +1, +3
Step-by-step explanation:
because when you put them in order you find which pairs are located between -5 and +5
-8,-4,-2,-1,0,+3,+8,+9
which tells you that
-4,-2,-1,0, +1, +3 are between -5 and +5
Find the constant of variation when t varies directly as s, and t =
260 when s = 65.
Answer:
4
Step-by-step explanation:
Use the direct variation equation, y = kx.
Replace y with t, and replace x with s:
y = kx
t = ks
Plug in 260 as k and 65 as s, then solve for k (the constant of variation):
t = ks
260 = k(65)
4 = k
So, the constant of variation is 4.
What is an equation of the line that passes through the points (5, 0) and (-5, -8)
Answer:
Step-by-step explanation:
m = (y2-y1) / (x2-x1)
m = (-8-0) / (-5-5) = 4/5
note that it does not matter which points you chose to be second or first
then use slope point equation again it does not matter which point from the slope you use
y - y1 = m ( x - x1 )
y - 0 = 4/5 ( x - 5)
y = 4/5x -4
please if you find my answer helpful mark it brainiest
Which expression is equivalent to (st)(6)?
s(t(6))
s(x) × t(6)
s(6) × t(6)
6 × s(x) × t(x)
Answer:
A
Step-by-step explanation
Answer:
the answer is c
Step-by-step explanation:
distributive property
Alla and Balla together drink 750 milliliters (ml) of water. If Alla drinks 50% more than
Balla, how much does Alla drink?
Answer:
Step-by-step explanation:
A + B = 750
A = 1.5 B
~~~~~~~~~~~~~~
750-B = 1.5 B
750 = 1.5 B + B
750 = B(1.5 +1)
750 = B (2.5)
B = 300
A = 450
help please step by step
Answer:
1. 33km
2. 1.2ft
3. 16in
4. 20.1ft
5. 7.2yd
6. 38mi
Step-by-step explanation:
1. 10+11+12=33km
2. 1/2(1.8+0.6)1=1.2ft
3. 5+5+3+3=16in
4. 4.1+2.7+5.4+7.9=20.1ft
5. 1.8+1.8+1.8+1.8=7.2yd
6. 12+7+12+7=38mi
your teacher plotted a set of cordinetes that contained a negative x and positive y Wich point graphed below could represent the point plotted
Answer:a
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
This set of coordinates does represent a point [tex]P(x,y)[/tex].
Considering a Euclidian plane, such that [tex]P(x,y) \in\mathbb{R}^2[/tex], we have [tex]x\in(-\infty, 0)[/tex] and [tex]y\in[0, \infty)[/tex] . Therefore, the point is in Quadrant II. You possibly forgot to give the points, but point like [tex](-1, 2), (-20, 5), (-1.234, 78)[/tex] could be the answer. In fact, you can just define the point as
[tex]P(x,y) \in\mathbb{R}^2 : x\in(-\infty, 0) \text{ and } y\in[0, \infty)[/tex]
The Madison Cosmetics Company has developed a new women's facial cleanser that they believe is superior to those currently on the market in the $5 - $10 range. They wish to test the cleanser against the two current best-sellers.
A. Identify a potential problem with using a completely randomized experimental design to test the cleanser. Explain.
B. The company executives decide to design and carry out a block design experiment to test the new cleanser against its competition. Choose an appropriate blocking scheme for the experiment and justify your choice.
C. Should the company put a control group into the experiment? Why or why not?
D. Could the experiment be a double-blind experiment? Explain.
Answer:
a. there could be a problem of high error
b. randomized block design can remove the issue of heterogeneity
c. yes they should
d, yes it could
Step-by-step explanation:
a. if their is a lack of homogeneity among the sample population, then the results that would be obtained are going to be with increased experimental error.
b. given the number of treatment, the randomized block design technique can be done. This would then remove the issue of heterogeneity. It also gives more information and the results from the test are easier. Even in the presence of missing data, the missing plot technique can be employed.
c. when a control group is used, it makes easier the examination of the market research in a more effective way.
d. Yes it could be a double blind one. This would help to take away the problem of bias.
ASSESSMENT:
Act as the person in the problem Do the activity. Record your
findings then answer
1. A farmer placed 250 mangoes in a crate, these are 150 ripe and 100 unripe
mangoes, his wife randomly selected 80 mangoes, she got 50 ripe mangoes
and 20 unripe mangoes, find the experimental probability of the mangoes she
selected.
2. A table tennis player has 40 orange table tennis balls, 30 white and 20 yellow
table tennis balls. After selecting 18 balls, he found out that he got 6 white
table tennis balls. Find out the experimental probability of getting white table
tennis table tennis balls.
please answer this
Answer:
in 1st his wife selected 80 mangoes 50 ripe and 20 unripe how it can be
Step-by-step explanation:
50+20=70 not 80
please share the correct question than I may help you
What is the length of the line segment joining the points A(3, - 5) and B(-5,1)?
the average score on mid term examination of 25 students was 78.8 out 100
after the mid term exam, however, a student whose score was 41 out of 100 dropped the course. what is the average (mean) score amount of the 24 students?
Find the measure of angle X. The horizontal lines are parallel. HINT: The sum
of all interior angles in a triangle is 180 degrees.
===========================================================
Explanation:
The angle adjacent and supplementary to the 107 degree angle is 73 degrees because 107+73 = 180.
Or you could say 180 - 107 = 73.
The base angles of the upper isosceles triangle are 73 degrees each, which means the third remaining angle (let's call it y for now) is
73+73+y = 180
146+y = 180
y = 180-146
y = 34
Refer to the diagram below. Notice how the 34 degree angle shows up twice because we have vertical angles. Consequently, the base angles of the bottom isosceles triangle are y = 34 degrees each
We can now solve for x
y+y+x = 180
34+34+x = 180
68+x = 180
x = 180-68
x = 112, so the answer is choice D
Q2 find the degree of the polynomial
x4(4x+1)
Step-by-step explanation:
x⁴(4x+1)
4x⁵+x⁴
degree is 5
If the distance from D to D' is 10 and the distance from A to D is 2 what is the scale factor?
Answer:
5
Step-by-step explanation:
10/2=5
The scale factor of the given case that the distance from D to D' is 10 and the distance from A to D is 2 will be 5.
What is the scale factor?
The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics.
The scale factor is the ratio between two big and small figures and the ratio is called a scale for the given geometry.
For example, if we have a triangle with a side of 10 meters and another triangle with a side of 5 then the scale ratio will be 10/5 = 2.
Given that
distance from D to D' is 10
distance from A to D is 2
So the scale ratio will be
DD'/AD = 10/2 = 5 hence scale ratio will be 5 for the given
geometry.
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i need help with this question on my homework
Answer:
the angle would be 64°
Step-by-step explanation:
since the other angle is already 296° having the other angle would add to complete the 360 degrees of the circle
Answer:
Step-by-step explanation:
64 because you subtract 360 by 296
cos() =
O A. V
B.
173
2
OC.
OD.
-3
Answer:
-√3/2
Step-by-step explanation:
Given the expression:
Cos(7π/6)
Conver to degrees
= Cos(7(180)/6)
= cos 210
= -√3/2
Hence the value of cos(7π/6) is -√3/2
I need help I’ll mark u as brainlest
Answer:
105 in³
Step-by-step explanation:
Volume of triangular prism = base area * height
here
base area = (10*7)/2 = 35
height = 3
Volume = 35* 3 = 105
Over what interval is the parabola below decreasing?
3<. x. <∞
−∞ <. x. <3
−1<. x. <∞
−∞ < x < −1
Answer:
B. -oo < x < 3
Step-by-step explanation:
since the vertex (3, -1), so, x should be less than 3
-oo < x < 3
How many solutions are there to the equation below?
4(x – 5) = 3x + 7
Answer:
one solution
Step-by-step explanation:
4(x - 5) = 3x + 7
4x - 20 = 3x + 7
4x - 3x = 7 + 20
x = 27
Answer:
1 solution
Step-by-step explanation:
x = 27
distribution of 4 into x and -5
4x-20 = 3x +7
-3x+20=-3x+20
x = 27
please help me please help me please help me please help me please help me please help me please
Answer:
1. -4
2(12,35,37). hope helpful answerAnswer:
Question 1 = 256
Question 2 = ( 7, 8, 12)
At midday the temperature in Moscow was 7°C.
At midnight it was -3°C.
By how many degrees did the temperature fall?
Answer:
10 degrees C
Step-by-step explanation:
the difference between both temperatures is expressed by a subtraction
7 - -3 = 7 + 3 = 10
you could also do the subtraction the other way around :
-3 - 7 = -10
but the negative sign has no meaning for a distance between two points (a distance itself has no direction).
so, we are always using the absolute value of such difference calculations (when it is about lengths, distances, and so on, where the direction had no meaning).
and so, also the -10 is actually simply 10 for our problem here.
the temperature fell by 10 degrees.
Suppose that IQ scores have a bell-shaped distribution with a mean of 97 and a standard deviation of 17. Using the empirical rule, what percentage of IQ scores are between 46 and 148
Answer:
99.7% of IQ scores are between 46 and 148.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 97, standard deviation of 17.
What percentage of IQ scores are between 46 and 148?
97 - 3*17 = 46
97 + 3*17 = 148
Within 3 standard deviations of the mean, so:
99.7% of IQ scores are between 46 and 148.
Divide the following two complex numbers.
3+2i
5-3i
Step-by-step explanation & answer:
Conjugate = 5+3i
Multiply fraction by conjugate:
(15+9i+10i+6i^2) / (25-9i^2)
Simplify:
(15+19i+6i^2) / (25-9i^2)
i^2 is -1:
(15+19i-6) / (25+9)
So:
9+19i / 34
Into a +bi form:
9/34 + 19i/34
what are the first five terms of the recursive sequence
Answer: Choice D
9, 30, 93, 282, 849
============================================================
Explanation:
The notation [tex]a_1 = 9[/tex] tells us that the first term is 9
The notation [tex]a_n = 3*(a_{n-1})+3[/tex] says that we multiply the (n-1)st term by 3, then add on 3 to get the nth term [tex]a_n[/tex]
So if we wanted the second term for instance, then we'd say
[tex]a_n = 3*(a_{n-1})+3\\\\a_2 = 3*(a_{2-1})+3\\\\a_2 = 3*(a_{1})+3\\\\a_2 = 3*(9)+3\\\\a_2 = 27+3\\\\a_2 = 30\\\\[/tex]
If we want the third term, then,
[tex]a_n = 3*(a_{n-1})+3\\\\a_3 = 3*(a_{3-1})+3\\\\a_3 = 3*(a_{2})+3\\\\a_3 = 3*(30)+3\\\\a_3 = 90+3\\\\a_3 = 93\\\\[/tex]
and so on.
The terms so far are: 9, 30, 93
You should find the fourth and fifth terms are 282 and 849 respectively if you keep this pattern going.
Therefore, the answer is choice D
Is 256.78 power by 10 100 or 1000
Answer:
I would say 100 since 256.78 is closer to 100 then 1000 or 10
Step-by-step explanation:
Choose the Athat seems to be congruent to the given one.
R.
F
D
B
AEGFA
OEGD
o CGD
BGC
Answer:
a. ∆EGF ≅ ∆EGD
Step-by-step explanation:
Congruent triangles would have the same side lengths and the same measure of angles.
From the figure given:
EG in ∆EGF ≅ EG in ∆EGD
GF in ∆EGF ≅ GD in ∆EGD, also
EF ≅ ED.
The three angles in ∆EFG are also congruent to the three angles in ∆EGD.
Therefore, ∆EGD is congruent to ∆EGF.
∆EGF ≅ ∆EGD
Write the phrase as an algebraic expression and simplify if possible. Let x represent the unknown number
Three times a number, decreased by five
(Simplify your answer.)
To express the phrase "Three times a number, decreased by five" as an algebraic expression, we can use the variable x to represent the unknown number: 3x - 5
Now, let's simplify this expression: Given that the unknown number is represented by x, we can substitute it into the expression above. Substituting x into the expression, we have: [tex]3(x) - 5 3x - 5[/tex] Therefore, the algebraic expression representing "Three times a number, decreased by five" is [tex]3x - 5.[/tex] At this point, there is no further simplification possible since the expression is already in its simplest form.
For example, let's assume the unknown number x is 7. We can plug in this value to evaluate the expression: [tex]3(7) - 5 = 21 - 5 = 16[/tex] Similarly, if x is -2, the calculation would be: [tex]3(-2) - 5 = -6 - 5 = -11[/tex] In conclusion, the algebraic expression 3x - 5 represents the phrase "Three times a number, decreased by five."
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Given:
p: 2x = 16
q: 3x – 4 = 20
RE
Which is the converse of p - q?
ООО
If 2x + 16, then 3x - 47 20.
If 3x - 420, then 2x + 16.
If 2x = 16, then 3x – 4 = 20.
If 3x - 4 = 20, then 2x = 16
Given:
The given statements are:
[tex]p:2x=16[/tex]
[tex]q:3x-4=20[/tex]
To find:
The converse of [tex]p\to q[/tex].
Solution:
The statement [tex]p\to q[/tex] means if p, then q and the converse of this statement is [tex]q\to p[/tex].
[tex]q\to p[/tex] means if q , then p.
We have, [tex]p:2x=16[/tex] and [tex]q:3x-4=20[/tex].
So, the converse of given statement is:
[tex]q\to p:[/tex] If [tex]3x-4=20[/tex], then [tex]2x=16[/tex].
Therefore, the correct option is D.
Answer: Therefore, the correct option is D.
Step-by-step explanation:
Given:
p: 2x = 16
q: 3x – 4 = 20
RE
Which is the converse of p - q?
ООО
If 2x + 16, then 3x - 47 20.
If 3x - 420, then 2x + 16.
If 2x = 16, then 3x – 4 = 20.
If 3x - 4 = 20, then 2x = 16
To find:
The converse of .
Solution:
The statement means if p, then q and the converse of this statement is .
means if q , then p.
We have, and .
So, the converse of given statement is:
If , then .
Therefore, the correct option is D.
Which additional facts prove that RST and
WXY are congruent? (Geometry)
Answer:
Option C
Step-by-step explanation:
In the given triangles ΔRSW and ΔWXY,
m(∠S) = m(∠X) = 60° [Given]
Properties of congruence of two triangles applicable in this question,
SAS or ASA
For the congruence of two triangles by the property SAS,
"Two corresponding sides and the included angle should be congruent"
RS ≅ WX, ST ≅ XY and ∠S ≅ ∠X
Which is not given in any option.
For the congruence of two triangles by the property ASA,
"Two consecutive angles and the side having these angles should be congruent"
∠R ≅ ∠W, ∠S ≅ ∠X and RS ≅ XY
Option C will be the correct option.
can anyone help???????????
Given:
The distance between the two buildings on a map = 14 cm
The scale is 1:35000.
To find:
The actual distance in km.
Solution:
The scale is 1:35000.
It means 1 cm on map = 35000 cm in actual.
Using this conversion, we get
14 cm on map = [tex]14\times 35000[/tex] cm in actual.
= [tex]490000[/tex] cm in actual.
= [tex]4.9\times 1000o0[/tex] cm in actual.
= [tex]4.9[/tex] km in actual. [tex][1\text{ km}=100000\text{ cm}][/tex]
Therefore, the actual distance between two buildings is 4.9 km.
