Half the perimeter is the length + the width
62/2 = 31
Area = length x width
16 + 15 = 31, 15 x 16 = 240
17 + 14 = 31, 17 x 14 = 238
20 + 11 = 31, 20 x 11 = 220
Answer: 20 meters x 11 meters
Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expected value of the number of points for one roll? Negative two-thirds Negative one-sixth one-sixth Two-thirds.
We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"
For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have two events:
x₁ = she gets 9 points.x₂ = she loses 2 points.Let's find the probabilities of each one of these.
She gets 9 points if the sum of the two dice is equal to 8 or 12.
Each dice has 6 outcomes.
Then a combination of two dice has a total of 6*6 = 36 outcomes.
The outcomes that add to 8 or 12 are:
dice 1 dice 2 sum
2 6 8
3 5 8
4 4 8
5 6 8
6 2 8
6 6 12
So 6 out of the 36 outcomes, then the probability of this event is:
p₁ = 6/36 = 1/6
And the other event is for all the other outcomes, so the probability is just:
p₂ = 5/6
Then the expected value is:
EV = (+ 9 points)*(1/6) + (-2 points)*(5/6) = -1/6 points.
So the correct option is negative one-sixth.
If you want to learn more about expected value, you can read:
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Answer:
-1/6
Step-by-step explanation:
There are blue, red and white counters in a bag in the ratio 16 3 2 There are 112 more blue counters than white counters. How many white counters are there?
We will have 16 white counters in the bag.
Given that there are blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:
Total = 16 + 3 + 2Total = 21If there are 112 more blue counters than white counters, then;
number of blues = number of white + 112
16x = 2x + 112
14x = 112
x = 8
Number of white counters = 2x = 2(8) = 16
Therefore we will have 16 white counters in the bag.
Learn more on ratios here: https://brainly.com/question/2914376
nin
1) What is the equation of the line that passes through the point (-2,1) and has a slope of
-5/2?
Answer:
y=(-5/2)x-4
Step-by-step explanation:
Step 1: Define the equation of a line.
Equation of a line is written in the form y=ax+b where a is the slope and b is the y-intercept.
Step 2: Write the given parameters
(x1,y1)=(-2,1)
m=-5/2
Using the formula y-y1=m(x-x1)
y-1=-5/2(x-(-2))
y-1=-5/2(x+2)
y-1=(-5x-10)/2
By cross multiplication,
2(y-1)=-5x-10
2y-2=-5x-10
2y=-5x-10+2
2y=-5x-8
y=(-5x-8)/2
y=(-5/2)x-4
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
1 inch : 50 miles
Step-by-step explanation:
550 miles / 11 inches = 50miles/inch
Every inch on the map represents 50 miles.
Sammie pays $30 for a bag that she buys at a discount of 50%. What is the price of the bag without the discount?
A.
$30
B.
$45
C.
$60
D.
$80
Answer:
Ti's C, $60
Step-by-step explanation:
30 = 50% ---> b/c 100% - 50% = 50%, and 30 is sum
So mutiply by 2, to get 100%
60 = 100%
60 is the price of the bag
NEED HELP ASAP PLS
Rearrange the equation, make the graph table, graph
y -3x=0
PLEASE HELP ONLY ANSWER IF YOU KNOW ITS CORRECT
Answer:
D
Step-by-step explanation:
lx+2l+7>10 /-7
lx+2l>3
if x >0, x+2>3 /-2, x>1
if x <0, x+2<-3 /-2, x<-5
Write the inequality that represents the solution set to the given inequality below.
−8≥x−2≥10
Group of answer choices
4≤x≤−5
−4≤x≤5
4≥x≥−5
−4≥x≥5
Answer:
-6[tex]\geq[/tex]x[tex]\geq[/tex]12
Step-by-step explanation:
I can't match it to one of your solutions but I can explain this:
-8[tex]\geq[/tex]x-2[tex]\geq[/tex]10
We can add 2 to each side to eliminate the -2 in the centre.
-6[tex]\geq[/tex]x[tex]\geq[/tex]12
The area of Chile is approximately 2*10^6 square kilometers the area Bosnia is approximately 9*10^4 square kilometers what is the area of the two countries
Answer:
2,090,000
Step-by-step explanation:
Area = Area of Chile + Area of Bosnia
Area of Chile = 2*1000000
Area of Bosnia = 9*10000
Area = 2,000,000 + 90,000
Area = 2,090,000
Answer:
Step-by-step explanation:
there total
= 2*[tex]10^{6}[/tex] + 9*[tex]10^{4}[/tex]
= 2*1,000,000 + 9*10,000
= 2,000,000 + 90,000
= 2,090,000
= 209*[tex]10^{4}[/tex]
= 2,09*[tex]10^{6}[/tex]
how to tell if an equation is linear without graphing
Answer:
A linear equation has the greatest x power at 1.
If you see an equation with only x (no x^2 or x^3 or stuff like that), you will know that it is linear.
Is 24 the correct LCD to use for subtracting 6 3/4 - 1 2/6 ? Why or why not?
In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example.
Subtract and reduce to lowest terms: 9/10 - 3/10.
PLEASE HELP ASAP
Answer:
Step-by-step explanation:
A
No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.
B
Factor each number into it's primes.
24 = 2*2*2*3
32 = 2*2*2*2*2
The highest common factor is 2*2*2 = 8
C
9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.
6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2
Write a story that could represent this math problem. 70 points
Answer:
2/3+2/3+2/3+2/3+2/3
Step-by-step explanation:
What is the degree of polynomial?
With example!
Answer:
[tex]\boxed{\mathfrak{Question ~}}[/tex]
What is the degree of polynomial?
[tex]\large\boxed{\mathfrak{Answer}}[/tex]
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.
Example:
[tex] {6x}^{4} + {2x}^{3} + 3[/tex]
4x The Degree is 1 (a variable without an
exponent actually has an exponent of 1)
More Examples:
4x^ − x + 3 The Degree is 3 (largest exponent of x)
x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)
z^2 − z + 3 The Degree is 2 (largest exponent of z)
A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.
3 is a polynomial of degree 0.
Answer:
The degree of a monomial is the sum of the exponents of all its variables.
Example 1:
The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .
Example 2:
The degree of the monomial 7x is 11 (since the power of x is 11 ).
Example 3:
The degree of the monomial 66 is 0 (constants have degree 0 ).
The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)
Select the correct answer.
Choose the name of the highlighted part of the figure.
O A.
vertex
B.
angle
Oc.
side
Plz help!!
The highlighted part of the triangle is an angle. It is on the inside of the triangle and formed by two sides coming together.
Hope this helps! :)
Answer:
Angle
Step-by-step explanation:
Vertices (plural for vertex) are basically the points of the triangle.
Angles are the amount of space between two line segments (typically measured in degrees)
Sides are line segments of a shape.
Therefore, B is right.
Five cans of cola cost $1.20. Find the cost of seven cans. Please help!
Answer:
1.20 divided by 5 is 0.24, so 1.20 plus 2 cans is 1.68
please help I don't understand
Answer:
104 m^2
Step-by-step explanation:
First find the area of the rectangle.
A = 10 * 8 = 80 m^2
Then find the area of the triangle
A = 1/2 bh = 1/2 (8) *6 = 24 m^2
Add the areas together
80+24 = 104 m^2
is this correct ? if not what’s the correct answer?
Answer:
yes
option B
you're correct
What is the domain of this graph?
The domain is the x values of where the dots are located.
A and E are -2
C is at 1
B and D are at 3
Answer: (-2,-2,1,3,3)
Answer:
(-2,1,3)
Step-by-step explanation:
coordinates are (-2,-4),(-2,3),(1,-1),(3,-1),(3,2)
all the points in x (domain) are -2,-2,1,3,3 which is just (-2,1,3)
basically points in x
answer this as quick as possible
Step-by-step explanation:
For #1, if it says + you add the number of hours. Ex: Time in UTC 0 is 12:00, time in +3 is then 15:00 (3pm).
The same vice versa. Ex: Time in UTC 0 is 16:00 (4pm), in -2 it will be 14:00 (2pm).
For #2, +4 will be Friday at 22:00 (10pm) and for +7 it will be Saturday 1:00 (1am) etc.
Same for the - but it goes backwards
Hope that helps
A worker's wages w, are a function of the number of hours h worked at a rate of $10 per hour.
Answer:
w+h+10=10wh
Step-by-step explanation:
Martin has read 40% of a book. He has 48 more pages to finish. How many pages are there in the book?
Answer: There are 80 pages in Martin's book.
48 pages = 60%
divide by six
8 pages = 10%
mulitiply by 10
80 pages = 100%
Hope this helps :)
common factor of 36 and 48
Answer:
12
Step-by-step explanation:
2⎜x - 7/2⎟ + 3 > 4
Pls
Answer: x<3 or x>4
Step-by-step explanation: 2|x-7/2|+3+-3>4+-3 2|x-7/2|/2>1/2 x+|−7/2|+7/2>1/2+7/2 x>4 or x+|−7/2|+7/2<−1/2+7/2 x<3
Find the slope of the line that passes through (-39, -32) and (-40, 41). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: The answer is that the slope is 9.
What is the value of log3 27?
Answer:
Logarithm base 3 of 27 is 3 .Step-by-step explanation:
hope it helpsAnswer:
3
Step-by-step explanation:
27 = 3 x 3 x 3 = 3³
log3 27
= log3 3³
= 3 log3 3
= 3 x 1
= 3
Note : -
Formulas : -
Logn n = 1
Logn n^n = n Logn n
PLEASE HELP Using the 2 points below, write the slope intercept form equation of the line.
(3,−1) and (0,3)
Answer:
y = -4/3x +3
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (3 -(-1))/(0 -3) = 4/-3 = -4/3
The y-intercept is the point for which x = 0. The given point (0, 3) tells us the y-intercept is b = 3.
The slope-intercept form equation is ...
y = mx +b
y = -4/3x +3
c(1)=−20
c(n)=c(n−1)+10
Find the second term in the sequence.
Answer:
c(2) = -10
Step-by-step explanation:
The first equation says that the first term of the sequence is -20.
The second equation is saying that to find any term of the sequence, add 10 to the previous term.
c(2) = c(2-1) + 10
c(2) = c(1) + 10
c(2) = -20 + 10 = -10
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
I think the 3rd one
Step-by-step explanation:
Hope its right
At which x-value does the cosine function attain a maximum value?.
Answer:
cos(x) = ???
so the maximum cosine can be is 1 and that happens when x = 0
I'm pretty sure that's what you meant...
The value of x where the cosine function attains a maximum value is 0.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Cosine function.
The value of cos 90° is 0.
The value of cos 0° is 1.
The value of cos 30° is √3/2.
The value of cos 60° is 1/2.
We see that the cosine function has the maximum value at zero degrees.
Thus,
Cos x has the maximum value at x = 0.
Learn more about trigonometric identities here:
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Express 1 19/100 as a decimal
Answer:
1.19 if its not that its 0.19 but i believe its 1.19.
Step-by-step explanation:
Answer: 1.19 Is 1 19/100 as a decimal
Step-by-step explanation: