Answer:
5 Probability
5.1 Probabilities
Probabilities are used to describe how likely or unlikely it is that something will happen.
Weather forecasters often talk about how likely it is to rain, or perhaps snow, in particular
parts of the country.
Worked Example 1
(a) When you roll a dice, which number are you most likely to get?
(b) If you rolled a dice 600 times how my sixes would you expect to get?
(c) Would you expect to get the same number of ones?
Solution
(a) You are equally likely to get any of the six numbers.
(b) You would expect to get a six in about 1
6
of the throws, so 100 sixes.
(c) Yes, in fact you would expect to get about 100 of each number.
Worked Example 2
Use one of the following to describe each one of the statements (a) to (d).
Certain
Very likely
Likely
Unlikely
Very unlikely
Impossible
(a) It will snow tomorrow.
(b) It will rain tomorrow.
(c) You win a car in a competition tomorrow.
(d) You are late for school tomorrow.
Solution
(a) Very unlikely for most places in Britain, especially in summer.
(b) Likely or Very likely in Britain in winter.
(c) Very unlikely if you have entered the competition. Impossible if you have not
entered the competition.
(d) Very unlikely, unless the school bus breaks down.
y = x^2 + 6x + 4
Find the vertex
And please explain how I don't understand.
Answer:
(-3, -5) This is my answer I hope it helps
Can someone please help me I’m desperateeeee
Answer:
1) are equal (congruent), are opposite from each other
2) (11y-36)= 63.
3) Add 36 to both sides.
11y = 99. Divide both sides by 11.
Y = 9
4) Next to each other, No numerical relationship
Step-by-step explanation:
PLEASE HURRY<33
Graph the following piecewise function. f(x)={x^2+2 if -5
The graph for the first is line segment joining (x, y) = (−2,−4)and (2, 4), sans the end points. The second part is the line through (-2, -6) and (-3, -9), from (-2, -6), excepting (-2, -6). ..
Step-by-step explanation: you are using y for the piecewise function.
20. What is the equation of the line that passes through the points (-2, 2) and (0,5)?
A. y = -3/2x + 5
B. y = 3/2x + 5
C. y = x-5
D. y = x + 5
What is an angle call measure between 90° and 180°
If f(x) = 3x – 4 and g(x) = x, find the value of f(3) – g(2).
Answer:
3
Step-by-step explanation:
f(3) = 3(3)-4
f(3)= 9-4
f(3) = 5
g(2) = (2)
g(2) = 2
f(3)-g(2) = ?
(5) - (2) = ?
(5) - (2) = 3
£399 is shared between Ann, Bill, Chloe and Dave
Answer:
99.75
Step-by-step explanation:
The age of a man is twice the sum of the ages of his two sons. Ten years ago, his age was five times
the sum of their ages. Find his present age.
a) 40 years
b) 50 years
c) 60 years
d) 70 years
Answer:
suppose: the age of the man now is x
the sum of the ages of his two sons now is y
(x, y > 0, x, y € N)
so the age of the man 10 years ago is x - 10
the sum of the ages of his 2 sons ten years ago is
y - 20
because now, The age of a man is twice the sum of the ages of his two sons => x = 2y
because Ten years ago, his age was five times
the sum of their ages
=> x - 10 = 5( y - 20)
<=> x - 10 = 5y - 100
<=> 2x - 20 = 10y - 200
<=> 2x = 2y.5 - 180
but x = 2y => 2x = 5x - 180
<=> 3x = 180
<=> x = 60
=> his present age is 60
Find the measure of 43.
43
77
<3 = [?]
Enter
Answer:
<3 = 77⁰
Step-by-step explanation:
Since 77⁰ and <3 are interior angles, angles inside the parallel line are in the same. This means that <3 will be 77⁰.
Hope this helps and stay safe, happy, and healthy, thank you :) !!
?=103°
Answer:
<3+77=180 co interior angle
<7=180-77=103°
Convert 65 millimeters to centimeters
Pls help me on this question
Answer:
Its 6.5
Step-by-step explanation:
Please I need help it’s an emergency
Answer:
option B is your correct answer
Julie manages a franchise restaurant and is analyzing the tips left at her location. From corporate informational material, she knows the overall
population mean is $6.85 with a standard deviation of $1.25. Julie has a sample of 180 tips for her franchise. By the central limit theorem, which
interval can Julie be 95% certain that the sample mean will fall within?
OA. $6.76 and $6.94
O B. $6.57 and $7.13
OC. $6.66 and $7.04
OD. $6.83 and $6.87
Answer:
$6.66 and $7.04
Step-by-step explanation:
I got it right
The $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
From the central limit theorem:
σ(x) = σ/√n
The standard deviation σ = $1.25
The sample n = 180
σ(x) = 1.25/√180
σ(x) = 1.25/√1801
σ(x) = 0.0931
The lower limit = 6.85 - 0.0931 = 6.756 = 6.76
The upper limit = 6.85 - 0.0931 = 6.943 = 6.94
Thus, the $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.
Learn more about the standard deviation here:
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select the word statement that best matches the number statement
3.x=r
If x is the number of teachers and r is the number of students, then
(a) There are 3 times as many teachers as students.
(b) There are 3 more teachers than students.
(c) There are 3 times as many students as teachers.
PLESSS PLESS PLESSSSSSS I BEG OF YOU TEACH ME HOW TO DO THISSSS I BEGG I WILL GIVE BRAINYLIST TO ANYONE WHO ANSWERS PLESS I CRY FOR YOU HELP AND BEGGG TOO
Answer:
x=6.54
Step-by-step explanation:
Start off by cross multiplying what you are given ;)
6*109=654
Since you are solving for the missing variable x divide 654/100
The final answer will be 6.54
Hope this helps if not just reply so I can better explain
three consecutive odd integers add up to -3
Answer:
The investors are: -3, -1 and 1
Step-by-step explanation:
Given
Three consecutive odd numbers
[tex]Sum = -3[/tex]
Required: Determine the odd numbers
Let the smallest be x. So, the other 2 are: x + 2 and x + 4.
The sum is then:
[tex]Sum = x + x + 2 + x +4[/tex]
[tex]Sum = 3x +6[/tex]
[tex]3x +6 = -3[/tex]
Collect Like Terms
[tex]3x = -3-6[/tex]
[tex]3x = -9[/tex]
[tex]x=-3[/tex]
The other two are:
[tex]x + 2 = -3 + 2 = -1[/tex]
[tex]x + 4 = -3 + 4 = 1[/tex]
Hence, the investors are: -3, -1 and 1
Pls help this is due today! Find the m
Answer:
[tex]m<LMJ = 86[/tex]
Step-by-step explanation:
1. Approach
First, use the sum of angles in a quadrilateral theorem to find the value of the parameter ([tex]x[/tex]). This theorem states that the sum of all angle measures in a quadrilateral is ([tex]360[/tex]). After finding the value of ([tex]x[/tex]), substitute it back into the given value for the ([tex]m<LMJ[/tex]), and solve.
2. Finding ([tex]x[/tex])
Remember, the sum of angle measures in any quadrilateral is 360 degrees, regardless of the quadrilateral type.
Using this knowledge, one can apply it by saying;
[tex]m<K + m<J + m<M + m<L = 360[/tex]
Substitution,
[tex](93) + (76) + (11x-2) + (14x - 7) = 360[/tex]
Combine like terms;
[tex]160 + 25x = 360[/tex]
Inverse operations;
[tex]160 + 25x = 360\\-160\\\\25x = 200\\/25\\\\x = 8[/tex]
3. Finding ([tex]m<LMJ[/tex])
Substitute back in to find the [tex]m<LMJ[/tex]
[tex]11x - 2\\\\x=8\\\\11(8) - 2\\\\88 - 2\\\\86[/tex]
Answer:
m∠M = 86
Step-by-step explanation:
the angles of a quadrilateral equal 360°, adding ∠K and ∠J together we get 169°.
360 - 169 = 191, meaning ∠L and ∠M have to add up to 191.
substitute the values of ∠L and ∠M to make the equation
14x -7 + 11x -2 = 191
combine like terms 14x + 11x and -2 - 7 to get 25x -9 =191
now solve for the value of x by first adding 9 to both sides and then dividing each side by 25 like so:
25x -9 = 191 → 25x = 200 → 25x = 200 → x = 8
+9 +9 /25 /25
Now put the value of x into the equation for angle M like this:
11(8) -2 = M and solve, 11×8 = 88, 88 -2 = 86, so the measure of ∠M is 86
Which coupon is a better deal? 15℅ off of $75 shoes or $15 off of $75 shoes? Please show your work
Answer:
15 dollars off of 75 is better
Step-by-step explanation:
75 multiplied by 1.5 is only 11 dollars
Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and
15 cm.
O A. Knowing that 92 + 122 + 152draw the 5 cm side and the 9 cm side
with a right angle between them. The 15 cm side will fit to form a
right triangle
B. Knowing that 52 + 92 < 122 draw the 5 cm side and the 9 cm side
with a right angle between them. The 12 cm side will fit to form a
right triangle
C. Knowing that 92 + 122 = 152, draw the 9 cm side and the 12 cm
side with a right angle between them. The 15 cm side will fit to
form a right triangle.
D. Knowing that 92 + 122 = 1), draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
Answer:it is C
Step-by-step explanation:
Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.) A = 79°, b = 77, c = 43
Answer:
1549.5
Step-by-step explanation:
Hello There!
Heron's area formula is
[tex]A=\frac{(a)(b)sin(c)}{2}[/tex]
all we have to do is plug in the values
so
[tex]A=\frac{77*41sin79}{2} \\77*41=3157\\3157sin79=3098.997018\\\frac{3098.997018}{2} =1549.498509[/tex]
so the area of the triangle is 1549.498509
our final step is to round to the nearest hundredth
the answer would be 1549.5
Answer:
1610.289units²
Step-by-step explanation:
a=79
b=77
c=43
s=(79+77+43)/2=99.5
by using heron's formula
area of triangle=√{s(s-a)(s-b)(s-c)}
=√{99.5(99.5-79)(99.5-77)(99.5-43)} =1610.289units²
What is it’s equation in point slope form?
Answer:
y = -2x + 28
Step-by-step explanation:
Slope intercept form is-
y = mx + b
y = y coordinate
m = slope, the rise/run
x = x coordinate
b = the y-intercept, the place the line crosses the y-axis.
Now, fill in the formula with the proper information.
y = -2x + b You can use the point (10, 8) for the x and y coordinates to find b
8 = -2(10) + b Now solve for b
8 = -20 + b
+20 +20
28 = b Now substitute 28 in for b
y = -2x + 28
Answer:
y-8=-2(x-10)
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-2(x-10)
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hihihih
Answer:
hi how r u today my stranger
Answer:
D-Dipper/////
Step-by-step explanation:
How many terms does the expression m/5+ 4 x 6 have?
The number of terms in the expression m/5+ 4 x 6 are three.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is m/5+ 4 x 6
m by five plus four multiplied with six
In the given expression plus divide and multiplication are the operators
m is the variable
m/5 is the first term
four is the second term
six is the third term
There are three terms in the expression.
Hence, the number of terms in the expression are three.
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ILL MARK BRAINLYEST
Which statement is true. Supplementary angles:
Group of answer choices
are congruent
add up to 180 degrees
are two angles inside a triangle
add up to 90 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees
Complementary angles add up to 90 degrees
It is just a rule that is important to geometry
I hope that helps :)
Answer:
Add up to 180 degrees
Step-by-step explanation:
Supplementary angles can be two separate angles and the acute angles of a right triangle are complementary which make option 3 false. They are not always congruent and do not add up to 90 degree in total. Making option 1 and 4 false as well.
Sammy makes $2,362/month as a baseball coach. He is making a budget, and has created the following chart in order to divide his monthly paycheck into his various accounts:
Answer:
B
Step-by-step explanation:
B
$5,136; approximately 24 months.
I got 100% on Edg.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:12.5
Step-by-step explanation:if its 2.5 for evry 2 units and the glass is 10 units you time and 2 * 5 is 10 and .5 * 5 is 2.5
A square is inscribed in a circle as shown. If the side length of the square is 16 feet, calculate the area of the shaded region to the nearest tenth.
Answer:
probably 145.15ft^2 but who really knows good luck
Step-by-step explanation:
we're gonna have to find the area of the square and circle and then subtract the square area to see the remaining shaded area's value. if the square has side of length 16 then we know it's area is 16ftx16ft=256ft^2. Now the area of the circle requires us to know its radius. we see the diagonal dashed line travels the diameter of the circle. you can use pythagoras theorem to find its length so sqrt(16^2+16^2)=22.63ft. but this is diameter and we want radius so 22.63/2=11.3ft. the formula for the area of a circle is pi*r^2 so pi*11.3^2=401.15ft^2. now we can say 401.15-256=145.15ft^2
a. vertical angles
b. complementary angle
c. supplementary angle
d. none of the above
Answer:
C) supplementary angles
Step-by-step explanation:
C) supplementary angles
They add up to 180.
378cm=3m 78cm=
802.6cm=6km 740m=
Answer:378
Step-by-step explanation:
The volume of a cylinder is 8478 cubic inches and the radius is 15 inches which measurement is closest to the height of the cylinder
in inches
Answer:
90 inches
Step-by-step explanation:
hope it may help u I am sure about the ans
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•) Zeeshaan bought 12 kilograms of wheat seeds and 18 kilograms of rice seeds. How many kilograms of seeds did he buy ?