Answer:
The probability that it will rain in all 3 cities on that day
P(V∪ C∪S) = 0.93 = 93%
Step-by-step explanation:
Let 'V' be the event of rain in Vancouver
Given that the probability of rain in Vancouver
P( V) = 20% = 0.20
P( V⁻) = 1- P( V) = 1 - 0.20 =0.80
Let 'C' be the event of rain in Calgary
Given that the probability of rain in Calgary
P( C) = 65% = 0.65
P( C⁻) = 1- P( C) = 1 - 0.65 =0.35
Let 'S' be the event of rain in Saskatoon
Given that the probability of rain in Saskatoon
P( S) = 75% = 0.75
P( S⁻) = 1- P( S) = 1 - 0.75 =0.25
First we will prove that the probability that it will not rain in all 3 cities on that day
P( V⁻ ∩ C⁻ ∩ S⁻ ) = P( V⁻) P( C⁻) P(S⁻)
= 0.80 × 0.35 × 0.25
= 0.07
The probability that it will rain in all 3 cities on that day
P(V∪ C∪S) = 1-(P( V⁻ ∩ C⁻ ∩ S⁻ )
= 1 - 0.07
= 0.93
Explain what a direct line segment is and describe how you would find the coordinates of point P along a directed line segment AB that partitions segment AB so that the ratio of AP to PB is 3:1
Answer:
P = (A +3B)/4
Step-by-step explanation:
A "directed" line segment is one that has a "beginning" and an "end". The first letter of the line segment's name is the beginning; the last letter is the end.
Line segment AB begins at point A and ends at point B.
The problem statement tells you what it means to locate point P so the segment is divided in the ratio 3:1.
AP : PB = 3 : 1
(P -A) / (B -P) = 3 / 1
P -A = 3(B -P) . . . . . . . . multiply by (B-P)
P +3P = A +3B . . . . . . . add A+3P
P = (A +3B)/4
You can find point P by filling in the coordinate values in the formula just found.
_____
Comment on the general case
If you derive the formula for P dividing the segment in the ratio m : n, you find it is ...
P = (nA +mB)/(m+n) . . . length ratios are applied in reverse to the end points
Given 4 coordinate points — A(2, 0), B(4, 0), C(5, –2), D(1, –2) â€" identify the figure showing a
rotation of 180Âabout the origin O.
Answer:
Option B
Step-by-step explanation:
First we would identify the coordinates of the points before they are rotated.
A(2, 0), B(4, 0), C(5, -2), D(1, -2)
Plot a graph with the coordinates.
We find that the figure appears in the fourth quadrant.
Find attached the diagram.
To rotate the figure obtained by 180° about the origin zero, we would change the signs of the coordinates to become opposite.
That is positive sign becomes negative and vice versa:
A(-2, 0), B(-4, 0), C(-5, 2), D(-1, 2)
This implies that we rotated the figure 90° twice. When this is done, the figure would appear in second quadrant.
Plotting the new coordinates on a graph would give option B.
(URGENT) Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.
Which statement best describes how accurate she can expect her prediction to be?
Her prediction will probably be close to the actual value.
Her prediction will be unlikely to be close to the actual value.
Her prediction will be somewhat likely to be close to the actual value.
Her prediction will very likely be close to the actual value.
Answer:
Her prediction will be somewhat likely to be close to the actual value.Step-by-step explanation:
A correlation coefficient of 0.55 implies a weak positive correlation, because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.
Having said that, 0.55 indicates some correlation, but weak. Therefore, the right answer is C.
Her prediction will be somewhat likely to be close to the actual value.
We have given that,
Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.
We have to determine the correct statement.
What is the correlation coefficient?The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.
A correlation coefficient of 0.55 implies a weak positive correlation because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.
Having said that, 0.55 indicates some correlation, but weak.
Therefore, the right answer is C.
To learn more about the correlation coefficient visit:
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A jar contains 56 quarters and pennies. The total value of the coins is $3.92. Which system of equations can be used to find p, the number of pennies, and q, the number of quarters?
Answer:
let x = the number of nickels
the number of pennies can be represented by (56 - x)
.05x + .01(56 - x) = 1.52
5x + (56 - x) = 152 if in the above line we multiply both sides of the equation by 100
4x + 56 = 152
4x = 96
x = 24
There are 24 nickels and 56 - 24 = 32 pennies
24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52
Step-by-step explanation:
£90 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Mark get?
Answer:
Mark gets £54
Step-by-step explanation:
Let Gavin share=x
Henry=3x
Mark=2(3x)
x+3x+2(3x)=£90
x+3x+6x=£90
10x=£90
x=9
Gavin=x=£9
Henry=3x
=3(9)=£27
Mark=2(3x)
=2(3*9)
=2(27)
=£54
1) Simplify 16x – 7y - 19x - 4y
Answer:
-3x-11y is the answer.
Answer: -3x-11y
Add them in groups
5x 2 + 15x=0 is a quadratic equation.
True
False
Answer:
True
Step-by-step explanation:
Find the difference of the complex numbers (7+3i)-(3-7i)
Answer:
4 + 10i
Step-by-step explanation:
Expanding the bracket we have;
(7+3i)-(3-7i) = 7+3i-3+7i
(7+3i)-(3-7i) = 7+3i-3+7i = 7-3 + 3i + 7i= 4 + 10i
Answer Option C
=7+3i-3+7i
=7-3+3i+7i=
=4+10i
What is the Y-INTERCEPT from the equation? y=5x + 12*
A) 5
B) 12
Answer:
B-12
Step-by-step explanation:
Answer:
B) 12
Step-by-step explanation:
Set x equal to zero and you get y= 12
what is the rule for the reflection?
Answer:
(x,y)→(x,−y)
Step-by-step explanation:
I did it before
Real life Applications of Polynomials?
Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses.
-Shin ( and no need to thank me vote and give brainliest if you want, because i only wanna help! )
what is the value of x in the equation 1/4x-1/8=7/8+1/2x?
A. x=-5
B. x=-4
C. x=4
D.x=5
Answer:
B) x = -4
Step-by-step explanation:
[tex]\frac{1}{4}x-\frac{1}{8}=\frac{7}{8}+\frac{1}{2}x\\\\\frac{1}{4}x-\frac{1}{2}x-\frac{1}{8}=\frac{7}{8}\\\\\frac{1}{4}x-\frac{1}{2}x=\frac{7}{8}+\frac{1}{8}\\\\\frac{1}{4}x-\frac{1*2}{2*2}=\frac{7+1}{8}\\\\\frac{1}{4}x-\frac{2}{4}x=1\\\\\frac{1-2}{4}x=1\\\\\frac{-1}{4}x=1\\\\x=1*\frac{-4}{1}\\\\x=-4[/tex]
If the perimeter of a rectangle picture frame must be less than 200 in and The width is 36 in what Must the height H of the frame be
Answer:
So since the formula for perimeter is 2(w+h)
200 = 2(w+h)
that means that
100 = w+h
100 = 36+x
x=
64 UNITS
Step-by-step explanation:
Autumn is working two summer jobs, making $16 per hour tutoring and making $12 per hour landscaping. In a given week, she can work no more than 17 total hours and must earn at least $240. If Autumn worked 3 hours landscaping, determine all possible values for the number of whole hours tutoring that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
13,14
Step-by-step explanation:
t = tutoring
l = landscaping
16t+ 12l ≥240
t+l ≤17
We know that she worked 3 hours landscaping
l =3
t+3≤17
t ≤14
16t+ 12*3 ≥240
16t + 36 ≥240
Subtract 36 from each side
16t ≥204
Divide each side by 16
t ≥204/16
t ≥12.75
We know that
12.75 ≤t≤14
She has to work whole hours
13,14
Using the properties of equality to solve the equation -2b + 7 = -13, you would _____.
A.) add 13 and then divide by -2
B.) subtract 7 and then add 2
C.) subtract 7 and then divide by -2
D.) add 13 and then add 2
this is multiple choice
Answer:
Subtract 7 from each side
Divide each side by -2
Step-by-step explanation:
-2b+7 = -13
Subtract 7 from each side
-2b+7 -7= -13-7
-2b = -20
Divide each side by -2
-2b/-2 = -20/-2
b = 1-
PLZ HELP FAST!!! WILL GIVE BRAINLIEST!!! The linear function graphed below represents Tim’s age in the years since he was married. Which of these statements is correct? PLZ HELP FAST!!!
Answer:
C) The initial value is 32, and the rate of change is 1.
Step-by-step explanation:
This is the correct answer for edge
O
ZA
Round your answer to the nearest hundredth.
8
с
B
?
2
А
Answer:
75.96 Degrees
Step-by-step explanation:
Use the trigonometric functions of Sine Cosine and Tangent
(SOH CAH TOA)
The unknown angle is near the adjacent side of 2 and the opposite side of 8
Therefore you use the Tangent function
However, since it's the angle that needs to be found, you need to use Arc Tangent (The inverse operation)
Unknown Angle = ArcTan (8 / 2)
Unknown Angle = 75.96 Degrees
Note: ArcTan is just Tan to the power of -1
On my calculator I have to click shift then click the tan function to access this it may be different on yours
BRAINLIEST!
What is the measure of angle ABC?
Answer:
the measure of angle ABC is 73°
Step-by-step explanation:
This is inscribed angle and theorem says that its measure is 1/2 of intercepted arc
m∠ABC =1/2 m arcAC = 1/2 * 146°° =73°
Answer:
It is 180 degrees
~Hope this helps!!Stay safe~
Help please this is due in a couple minutes!!!! Anyone know the answer??!!!?
Answer:
the second one
Step-by-step explanation:
correct me if it is wrong
What’s the answer to this question?
Answer:
h=2A/b
Step-by-step explanation:
Try to isolate the variable H. Multiply by 2 on both sides to get rid of the fraction. This gives us 2A=bh. Now, divide both sides by B to get h by itself. h=2A/b is your answer.
Please help me with this it's really important
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answer:
There are 14 4-point questions and 26 2-point questions.
Step-by-step explanation:
m = number of 4-point questions
n = number of 2-point questions
m+n =40
4m + 2n =108
You can solve system by elimination:
Multiply the 1st equation by -4 and keep the 2nd equation the same.
−4(m+n=40) → -4m -4n= -160
4m+2n=108 add them up
-2n = -52 divide both sides by -2
n = 26
plug it back in to solve for m
m + n = 40 →m + 26 =40 subtract 26 to both sides
m = 14
Answer:
m=14, n=26
Step-by-step explanation:
Someone tell me answer!!!
Answer:
X=70
Step-by-step explanation:
180-120=60
60 + 50=110
180-110=70
Answer:70°
Step-by-step explanation:
missing angle- 180°-120°= 60
a total triangle= 180°
so x = 180-(50+60)
=180-110
x=70°
Determine the value of the variables a, b, and c when simplifying and evaluating the expression. 3^8/3^4 = a^b = c
Answer:
3, 4, 81
Step-by-step explanation:
plz thank
The value of a is 3, value of b is 4 and value of c is 81.
To understand more, check below explanation.
Exponential identity:The exponential identity is,
[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]
We have to solve, [tex]\frac{3^{8} }{3^{4} }[/tex]
[tex]\frac{3^{8} }{3^{4} } =3^{8-4} \\\\\frac{3^{8} }{3^{4} } =3^{4} \\\\\frac{3^{8} }{3^{4} } =3*3*3*3=81[/tex]
Hence, the value of a is 3, value of b is 4 and value of c is 81.
Learn more about the exponential expression here:
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When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain the reasons why a graph would, or would not, represent a function.
Answer:
The vertical line test is a way for you to see if a graph represents a function. It allows you to identify if any x values have more than one y value.
A graph would be a function if every input (x) has exactly one output (y). A graph would not be a function if an input (x) has more than one output (y).
Step-by-step explanation:
In a function, every input within the domain of the function must have exactly one output. If the graph has an input that has more than one output, then it is not a function. The vertical line test is what allows you to see if a graph is a function or not.
Answer:
When given a graph, the vertical line test can be used to determine functionality. The vertical line test would represent a function if no more than one point of the graph of a relation, this shows that only one output value for each input value. If this doesn't apply or more than one point is on the line then it would not represent a function.
Step-by-step explanation:
Draw vertical lines to intersect on a graph.
The relation is a function if there’s only one point of intersection on a graph.
The relation is not a function if there’s more than one point of intersection on a graph.
The vertical line test is used to determine if each input has exactly one output.
Diameter:
17 in
Radius:
Circumference:
What is the circumference of 17inches
how to find what is force if pressure and are is given please answer I will mark brainiest
Answer: Pressure and force are related, and so you can calculate one if you know the other by using the physics equation,
P = F/A. Because pressure is force divided by area,
its meter-kilogram-second (MKS) units are newtons per square meter,
or N/m2.
PLSS HELP ME THXS YOUUUUU!!!!!
Answer: Point A
Air pressure is essentially the weight of the air pressing down; it's greatest when there's the most air above, so at the lowest point, which is point A, elevation 1000 feet.
How many solutions does the nonlinear system of equations graphed below have? A. Zero B. One C. Two D. Four
Answer:
D, 4
Step-by-step explanation:
The graph crosses the x-axis 4 different times
Which expression has the least value?
A. 3(33)
B. 0 31-33)
C. 0-31-33)
D. 3(3-3)
Answer:
I think it is C but can't be sure because B isn't clear.
Step-by-step explanation:
The function f(x) is shown in the graph above
The function g(x) = -2x - 5
compare the slopes
A. The slope of f(x) is undefined and the slope of g(x) is negative
B. the slope of f(x) is the same as the slope of g(x)
C. The slope of f(x) is less than the slope of g(x)
D. The slope of f(x) is greater than the slope of g(x)
Answer:
B. the slope of f(x) is the same as the slope of g(x)
Step-by-step explanation:
B. the slope of f(x) is the same as the slope of g(x); that slope is m = -2.
Answer:
D ye
Step-by-step explanation: