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]
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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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*
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. :)
Convert 49 degrees to radians. Use 3.14 for \piπ. Round to the nearest hundredth.
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
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?
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.
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!
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
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.
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:
The number of patients who reported that a new drug had relieved their pain. discrete or continuous?
Answer:
Continuously
Step-by-step explanation:
Continuously
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.
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 )
Multiply two and four-fifths negative five and two-thirds
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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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.
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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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
Write a fraction that is equal to 5
Answer:
5/1
Step-by-step explanation:
HELP ASAP 6TH GRADE MATH
Answer:
The answer is C
Step-by-step explanation:
Bruh. This guy lazy
i’m slow , can i get help on this asap please ?
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
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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How to find the value of x
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.
plese help
plese
plese
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!