Solution :
Let us consider the squares be [tex]$[1, 16] \times [16, 32]$[/tex]
If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region[tex]$y-x \geq 9 \text{\ is}\ y - x = 9$[/tex] which goes from the [tex]$(7, 16 ) \text{ to}\ (16, 25) $[/tex].
And so it is easier to find the area of region where [tex]$ y-x \leq 9$[/tex]. This is the triangle with points [tex]$(7,16),(16,25) \text{ and}\ (16,16)$[/tex] as its vertices.
The area if the triangle is = [tex]$\frac{1}{2} \times 9 \times 9$[/tex]
= [tex]$\frac{81}{2}$[/tex]
Now the entire area is [tex]$(16)^2$[/tex] = 256
Then, [tex]$P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$[/tex]
or [tex]$P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$[/tex]
Thus the answer is [tex]$\frac{431}{512}$[/tex]
PLEASE ANSWER I AM BEGGING YOU THIS IS RLLY CONFUSING AND I JUST WANT TO GET IT OVER WITH
6.
the y-intercept is 4, which means the line crosses the y-axis at the point (0,4).
[just put a dot on the number four that's right under the letter y]
the slope of the line is positive, so it goes up from left to right.
Start at the y-intercept. Move up 2 and then move right 1.
You are now at the point (1,6).
[go to 1 for the horizontal line, then go up 6 spaces.] [connect two points]
7. y= -1/2-3
8. y=3x+4
Tracey paid $130 for an item that was originally priced at $500. What percent of the original price did Tracey pay?
Answer:
2.6%
Step-by-step explanation:
Set up a proportion: [tex]\frac{130}{500} = \frac{x}{100}[/tex] Cross multiply, then divide: 130 × 100 = 1300, 1300 ÷ 500 = 2.6So, Tracey spent 2.6% of the original priceI hope this helps!
Help me answer this its due in like 3mins!! ILL GIVE YOU A BRAILLEST
Answer:
0.15 or 3/20
Step-by-step explanation:
Answer:
3/20
Step-by-step explanation:
9/10 = 0.9
0.9/6 = 0.15
0.15 = 3/20
I need help with 10 please!!!!!!!
From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)
That means cut ( b ) and ( d ) choice, they both are wrong.
Now look at ( a ) and ( c ).
For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2). f(x) = -2x is just slope and intercepts y-axis at (0,0)
So the answer is ( c )
plese help
plese
plese
What is Y
0.7+y=−1.34
y=
Answer:
y = -2.04
Step-by-step explanation:
0.7 + y = -1.34
~Subtract 0.7 to both sides
y = -2.04
Best of Luck!
Which of the following is a biconditional statement?
Question 17 options:
A)
If x ≠ 5 then x2 ≠ 25
B)
If x2 = 25, then x = 5 or x = –5
C)
x = 5 if x2 = 25
D)
x = 5 if and only if x + 5 = 10
It is D
I just took the test and got it right
The biconditional statement is x = 5 if and only if x + 5 = 10.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Biconditional statement.
This means,
The statement and its converse are both true.
Now,
x = 5 if and only if x + 5 = 10
This shows that both the statement and its converse are true.
Thus,
x = 5 if and only if x + 5 = 10 is a biconditional statement.
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HELP ASAP 6TH GRADE MATH
Answer:
The answer is C
Step-by-step explanation:
Bruh. This guy lazy
x + 3y = 13
- 3x + 2y = 27 steps on how to solve by substitution
here x+3y=13
x=13-3y.....1st equation
-3x+2y=27......2nd euation
now putting the value of x from equation 1st in 2nd we will get
-3(13-3y)+2y=27
-49+9y+2y=27
11y=27+49
y=76÷11
y=6.9
now again putting the value of y in equation 1st we get
x=13-3×6.9
x=13-20.7
x=7.7
PLEASE ANSWER ASAP!!!!!!!
if 20% of some value is 400, then what is the missing value?
Answer:
Step-by-step explanation:
If 20% of some value is 400 in the missing values 80 20% x 400 is 80
The missing value is 2000 .
How to calculate the percentage of an amount ?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we imply that it is 50% of everything.As in 0.6%, 0.25%, etc., percentages can also be expressed as decimals or fractions. The grades earned in any topic are calculated in terms of percentages in academics.Calculations :
= Based on the given conditions, formulate = 40/20%
= Convert the percentage to decimals = 400/0.2
= Multiply both the numerator and denominator
with the same integer = 4000/2
= Cross out the common factor = 2000
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What is an expression equivalent to 5x+10 using the distributive property?
Answer:
5x + 10
Step-by-step explanation:
I did the math and checked. :)
The number of patients who reported that a new drug had relieved their pain. discrete or continuous?
Answer:
Continuously
Step-by-step explanation:
Continuously
How to find the value of x
Find the distance between the points (-3, -6) and (1, -2).
Answer: -3 - 1 = -4
Your Answer I think is -4 Hope This helps If I'm Wrong I apoligize.
When rolling a die what is the chance of getting a 3
The chance of rolling a die and landing on a three is 1/6. The reason for this is because there are 6 sides on a die, and only one 3 on the die.
Consider random samples of size 900 from a population with proportion 0.65 . Find the standard error of the distribution of sample proportions.
Answer:
The value is [tex]\sigma_{p} = 0.022[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 900
The population proportion is [tex]p = 0.65[/tex]
Generally the standard error of the distribution of sample proportion is mathematically represented as
[tex]\sigma_{p} = \sqrt{\frac{ p(1 - p)}{ n} }[/tex]
=> [tex]\sigma_{p} = \sqrt{\frac{ 0.65 (1 - 0.65 )}{ 900} }[/tex]
=> [tex]\sigma_{p} = 0.022[/tex]
What is 87B -179+957÷87
Answer:
8,677
Step-by-step explanation:
because the chemical in 87b is the same as 17yu so it would be 8,677.
Write a fraction that is equal to 5
Answer:
5/1
Step-by-step explanation:
bla lee la. la la lee bla
Answer:laaa vidas so las vi vi ras ony laa viras so las vi vi ras
Step-by-step explanation:laaaa vidas so las vi vi ras boty hastice hastice sola vi vi rasss*birb falling*
10. The table below shows the sales for a flower company for the years 2007 through 2012. Answer the given questions about
this table on your answer sheet.
14 -
A) Graph the data on the scatter plot and draw a line of best fit for the data.
FLOWER SALES
$420
Sales
$395
Year
(in
thousands)
Sales in
$370
2007 $305
thousands)
2008
$345
$330
2009
$345
$330
2010
$370
$305
2007 2008 2009 2010 2011 2012
2011
$395
2012
$420
year
B) Write an equation for the line of best fit for this data.
Let x represent the years since 2007 and y represent the
sales, in thousands of dollars.
C) According to your equation, in what year will the
sales reach about $500 (in thousands)? Use
mathematics to explain how you determined your
answer
A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Select three options. S = {1, 2, 3, 4, 5, 6, 7, 8} If A is a subset of S, A could be {1, 2, 3}. If A is a subset of S, A could be {7, 8, 9}. If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}. If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.
Answer: A, B, and E
Step-by-step explanation:
The true statements are (A) A could be {1, 2, 3} and (B) A could be {1, 2, 3, 4}, where A is a subset of S
How to determine the true statements?The sample space is given as:
S = {1, 2, 3, 4, 5, 6, 7, 8}
The possible subsets of S are as follows:
Even numbers = {2,4,6,8}Odd numbers = {1,3,5,7}Any number or group from 1 to 8, inclusiveUsing the above highlights, the possible set of A are:
A could be {1, 2, 3}. A = {1, 2, 3, 4}.Hence, the true statements are (A) and (B)
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not sure need help
Answer:
A (1,-3)
Step-by-step explanation:
it is asking where on the graph is each point. it even gives you where it is located.
The coordinates of the triangle A"B"C" are A"(3, 2), B"(-1, 4) and C"(2, 0).
From the given graph, the coordinates of triangle ABC are A(1, -3), B(5, -1) and C(2, -5).
1) We know that, the reflection of point (x, y) across the y-axis is (-x, y).
Here,
A(1, -3)→A'(-1, -3)
B(5, -1)→B'(-5, -1)
C(2, -5)→C'(-2, -5)
2) The transformation with <4, 5> are
A'(-1, -3)→A"(-1+4, -3+5)
= A"(3, 2)
B'(-5, -1)→B"(-5+4, -1+5)
= B"(-1, 4)
C'(-2, -5)→C"(-2+4, -5+5)
= C"(2, 0)
Therefore, the coordinates of the triangle A"B"C" are A"(3, 2), B"(-1, 4) and C"(2, 0).
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Salvador is 15 years older than Elizabeth. In 6 years, the sum of their ages will be 87. How old are they now?
please include and explantation
Answer:
????
Step-by-step explanation:
Convert 49 degrees to radians. Use 3.14 for \piπ. Round to the nearest hundredth.
Help??????????????????????
Answer:
i think A diagonals
just a guess ok
2/3 divided by 2 1/2
Step-by-step explanation:
Step 1: Multiply to get the lowest common denominator
Step 2: reciprocate thw second fraction(flipping the values)
Step 3: Cancel out values.
i’m slow , can i get help on this asap please ?
The average weight of 6 people in an elevator is 173 pounds. A 7th person gets on and now the average weight is 165 pounds. How much did the 7th person weigh?
What is the relationship between the continental drift hypothesis and the theory of
plate tectonics?
Answer:
Plate tectonics explains why Earth's continents are moving; the theory of continental drift did not provide an explanation. Therefore, the theory of plate tectonics is more complete. It has gained widespread acceptance among scientists.
Step-by-step explanation:
Do some research on it.
Multiply two and four-fifths negative five and two-thirds