Answer:
the angles are supplemetary
Step-by-step explanation:
105+ 75= 180
angles that add up to 180 are supp.
so the angles are supplemetary
if my answer helps please mark as brainliest.
Answer:
It's supplementary.
Step-by-step explanation:
Answer:43.1
Explanation
C = 2pi r
C = 2 x 3.14 x 6.87
C = 43.1 ft
This sounds like an answer....
Write an equation in slope-intercept form
for a line that goes through the points
(-4, 6) and (3,9).
S CAR
Answer:
y = 3/7x + 54/7
Step-by-step explanation:
(not sure what S CAR is)
(-4, 6) & (3, 9)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(9 - 6) / (3 - (-4))
Simplify the parentheses.
= (3) / (3 + 4)
= (3) / (7)
Simplify the fraction.
= 3/7
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3/7x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 9). Plug in the x and y values into the x and y of the standard equation.
9 = 3/7(3) + b
To find b, multiply the slope and the input of x(3)
9 = 9/7 + b
Now, subtract 9/7 from both sides to isolate b.
9 - 9/7 = b
[convert 9 to have a denominator of 7]
63/7 - 9/7 = b
54/7 = b
Plug this into your standard equation.
y = 3/7x + 54/7
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 6).
y = 3/7x + 54/7
6 = 3/7(-4) + 54/7
6 = -12/7 + 54/7
6 = 42/7
6 = 6
Your equation is correct.
Hope this helps!
The Washington, DC, region has one of the fastest-growing foreclosure rates in the nation, as 15,613 homes went into foreclosure during the one-year period ending in February 2008 (The Washington Post, June 19, 2008). Over the past year, the number of foreclosures per 10,000 homes is 131 for the Washington area, while it is 87 nationally. In other words, the foreclosure rate is 1.31% for the Washington, DC area and 0.87% for the nation. Assume that the foreclosure rates remain stable.
Required:
a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?
b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?
c. Comment on the above findings.
Answer:
a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.
b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.
c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.
Step-by-step explanation:
For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?
The foreclosure rate is 1.31% for the Washington, DC area, which means that [tex]p = 0.0131[/tex]
We wanto to find, with [tex]n = 100[/tex]:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675[/tex]
[tex]P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226[/tex]
0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.
b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?
Foreclosure rate of 0.87% for the nation, which means that [tex]p = 0.0087[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174[/tex]
[tex]P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837[/tex]
0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.
c. Comment on the above findings.
The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.
Which of the following is the solution to 2√30 + 3√10?
8√10
8√10
Cannot be simplified further
9√10
Is it true or false and why ?
Answer:
TRUEHope that helps!Step-by-step explanation:
Answer: True
Step-by-step explanation:
Because the 2 equations are eqivalent
Please help! I will mark Best answer
Solve each equation.
1) 40+ 2r = 8(7r – 5)
A) 0
B) (14)
C) -14 D) 3
Answer:
A)
0
Step-by-step explanation:
It is zero.
0= 54r
Therefore r=0.
Answer:
x=0 so answer is A
Step-by-step explanation:
hope that helps
If one acute angle of a right triangle measures 17°, what is the measure of the other acute angle?
A 67
B 77
C 73
C 63
Answer:
C. 73
Step-by-step explanation:
Triangles add up to 180 degrees.
180-90(right angle)-17 = 73 degrees
73<90 so it is acute.
What is the equation of the line in slope-intercept form?
———————
A) y = 3x − 7
B) y = −1/3x + 7
C) y = −3x − 7
D) y = −1/3x − 7
Answer:
The answer is D.
Step-by-step explanation:
WHO EVER ANSWERS FIRST WILL GET BRAINLY
3a = 42
Answer:
a=14
Step-by-step explanation:
9.25 plus 3.87 plus 2. 17
Answer:
15.29
Step-by-step explanation:
Answer:
15.29
Step-by-step explanation:
3.87 + 2.17 = 6.04
6.04 + 9.25 = 15.29
:)
11. John is building a wall. When he uses 750 bricks, the wall is 6 metres long and 1.25m high.
John wants the finished wall to be 10 metres long and 1.25 metres high.
How many more bricks does John need to finish the wall?
(Total 3 marks)
Answer:
750 blocks = 6m long
x blocks = 10m long
750×10 = 6x
7500 = 6x
divide both sides by 6
7500/6 = 6x/6
1250 = x
x = 1250
.
. . 1250 blocks are needed to finish the wall of 10m long
what is it step by step 7a - 4a when a = 8
Answer:
Step-by-step explanation:
7a - 4a
a = 8
so
7(8) - 4(8)
56 - 32 = 23
FINALLY! Someone asks for a step-by-step! TYSM!
Since a=8, we ae going to replace the a variables with 8.
7(8)-4(8)
7x8=56
4x8=32.
Now we subtract.
56-32=24.
---
hope it helps
Which situation explains when a system of equations has infinitely many solutions ?
Answer:
C. when they are the same line
Which fraction is shown by point D?
A. 1/3
B. 1/4
C. 3/3
D. 3/4
Answer:
C
Step-by-step explanation:
Hope dis helps
I need help QUICK! with this difficult question
Answer:
Step-by-step explanation:
how could i find the value of this expression?
Answer:
you plug in the numbers
Step-by-step explanation:
Please mark brainliest!!
Answer:
√x⁴-y²
x²-y²
(x+y)(x-y)
when
x=3
y=-6
√x⁴-y²=(3-6)(3+6)=-3×9=-27 is your answer
What is 5,729 + 2,729
Answer:
it equals 8458
Step-by-step explanation:
Caculator
13, 5, 11, 8, 14, 15
please find the mean!
will give brainliest
Answer:
the mean is 11
Step-by-step explanation:
Answer:
The mean is 11
Step-by-step explanation:
Add all the number: 13 + 5 + 11 + 8 + 14 + 15 = 66
Then divide 66 by counting how many number are in the set: 66 ÷ 6 = 11
Therefore the mean is 11
What is the slope and y-intercept of 3y = 3x -9?
Answer:
slope = 1
y-intercept = -3
Step-by-step explanation:
3y = 3x - 9
divide each side by 3
y = x - 3
slope = 1
y-intercept = -3
5. For the final touches, John wanted to paint the house using 3 colors. If he has 5
gallons of paint for each color, write an equation for the total number of gallons of
paint he has?
Answer:
3 x 5 = 15
Step-by-step explanation:
To explain this in short, John has 5 gallons of 3 colors, meaning that 3 x 5 = 15 would be the appropriate equation to finish this question. I hope this helps!
A rocket fired upward from some initial distance above the ground. Its height (in feet) h, above the ground t seconds after it is fired is given by h(t)=-16t^2+160t+384
What is the rockets maximum height?
After it is fired, The rocket reaches the ground at t=____ seconds
Answer:
Part A)
784 feet in the air (after five seconds).
Part B)
After 12 seconds.
Step-by-step explanation:
The height h (in feet) of a rocket t seconds after being fired is modeled by the function:
[tex]h(t)=-16t^2+160t+384[/tex]
Part A)
We want to find the rocket's maximum height.
Since our function is a quadratic, the maximum height will occur at its vertex. The vertex of a quadratic is given by:
[tex]\displaystyle \Big(-\frac{b}{2a}\, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]
In this case, a = -16, b = 160, and c = 384.
So, the vertex occurs at:
[tex]\displaystyle t=-\frac{160}{2(-16)}=\frac{160}{32}=5\text{ seconds}[/tex]
The maximum height is reached after five seconds.
Then the maximum height is:
[tex]h(t)_\text{max}=h(5)=-16(5)^2+160(5)+384=784\text{ feet}[/tex]
Part B)
When the rocket reaches the ground, its height h above the ground will be 0. Hence:
[tex]h(t)_\text{ground}=0=-16t^2+160t+384[/tex]
Solve for t. We can first divide both sides by -16:
[tex]t^2-10t-24=0[/tex]
Factor:
[tex](t-12)(t+2)=0[/tex]
Zero Product Property:
[tex]t-12=0\text{ or } t+2=0[/tex]
Solve for each case:
[tex]t=12\text{ or } t=-2[/tex]
Time cannot be negative. Hence, our only solution is:
[tex]t=12\text{ seconds}[/tex]
The rocket reaches the ground 12 seconds after it is fired.
can i get help pls??
Answer:
119 or 124
Step-by-step explanation:
I need help finding Angle P
The distance between City A and City B is 250 miles. A length of 1.4 feet represents this distance
on a certain wall map. City C and City D are 2.52 feet apart on this map. What is the actual
distance between City C and City D?
Answer:
2.66 miles hope it helps
Plz help it’s due tomorrow
Answer:
x=121 degrees
Step-by-step explanation:
Sorry if my work is a bit messy. If you need me to rewrite it i can
Anyone help?
.....hgzgxhlflhf
Answer:
it should be 152, can i please get brainliest
Step-by-step explanation:
Write an equivalent expression using the Distributive Property.35 + 21 = 7( + )
Answer:
$2200/month
$2200/month
If US $1.00 is equivalent to EC $ 2.70, how much in US would one get from EC 297.00?
21 ounces to pounds as a mixed number
Smith family had dinner at the restaurant. The cost of their meals was $45. They wanted to leave the waiter a 10% tip. They had a $50 bill.
How much change would they receive after paying for the food and leaving the tip?
Answer: 0.50
Step-by-step explanation: the tip was 4.50 (10% of 45) and so minus 50 and then minus 40 (50-45-4.50=0.50)