Answer:
The answer is 96 square feet because if you look at the first rectangle (the one on the top left), you should multiply 5 times 6 which equals 30.
Answer:
(D), 96 square feet
Step-by-step explanation:
The formula for area is:
Length * Width = Area
Let's plug in the values:
8 * 12 = 96 square feet
Therefore, the answer is (D), 96 square feet. Hope this helps!
Please help! Needed ASAP
Answer:
7)Bagel costs $3.5 and muffin cost $1.25
8) Ticket is $9 while snacks are $2
9) Correct because left hand side is zero
10) Correct because they both have same slope and same y-intercept
Step-by-step explanation:
7) Let bagel be x and muffin be y.
Thus;
For Aaron;
x + 3y = 7.25 - - - (1)
For bee;
x + 2y = 6 - - - (2)
Subtract eq 2 from eq 1 to get;
y = 1.25
Put 1.25 for y in eq 2;
x + 2(1.25) = 6
x + 2.5 = 6
x = 6 - 2.5
x = 3.5
Bagel costs $3.5 and muffin cost $1.25
8) Let movie ticket be x and snacks be y.
Thus;
2x + 3y = 24 - - - (1)
3x + 4y = 35 - - - (2)
Multiply eq(1) by 3 and eq(2) by 2 to get;
6x + 9y = 72 - - - (3)
6x + 8y = 70 - - - (4)
Subtract eq 4 from eq 3 to get;
y = 2
Put 2 for y in eq 3;
6x + 9(2) = 72
6x + 18 = 72
6x = 72 - 18
6x = 54
x = 54/6
x = 9
Ticket is $9 while snacks are $2
9) using elimination, subtract eq 1 from eq 2, we will see that the entire left hand side is equal to zero.
Thus, no solution exists because we can't isolate the variable to get an answer.
10) The answer is correct because for a system of 2 simultaneous equations to have infinite solutions, they both have to have the same y-intercept and also same slope.
In this case, their y-intercept which is when x is 0 is;
3(0) + y = 9
y = 9
Their slope is also the same equal to 3.
Y=-4. Y=x-8 solve for substitution
Answer:
ok
Step-by-step explanation:
I think
Without solving, tell what is true of the product of 3 and 2/3 =?
Answer:
3 is a whole number while 2/3 is less than 3
Step-by-step explanation:
A circle passes through the points (3,2) and (7,2) and has radius 2√2. Find the two possible equations for this circle
Answer:
18 because of its addition
Step-by-step explanation:
πr²=3+2+7+2+2+2
=5+9+4
=18
24. ZABC and ZDEF are linear pairs. Which of the following is true?
a. If m ABC = 2m DEF, then m ABC = 120 and m DEF = 60.
b. If m ABC = m DEF + 40, then m ABC = 140 and m DEF = 40.
c. If m ABC = m DEF - 30, then m ABC = 30 and m DEF = 150.
d. If m ABC = 3m DEF, then m ABC = 130 and m DEF = 60.
A computer is on sale for 80% of the original price. If the computer originally cost $400, what is its sale price?
Answer:
$320
Step-by-step explanation:
400*0.8(decimal form of 80%) = 320
Answer:$80
Step-by-step explanation:
$400x0.80=$320 off
400-320=$80
Or
$400 x 0.20= $80 sale price
The function g is defined by g(x) = x² +4.
Find g(5n)
Answer:
g(5n)=5n^2+4
Step-by-step explanation:
Substitute 5n for x
5n^2+4
You can't really do much with this so that is the answer
Some one please help me find the slope of this line Thanks!
Answer:
1/2
Step-by-step explanation:
The slope can be found by looking at the Rise over run or in other words how ever much it moves up over how much it move right.
Helppp plssssssssssss
Answer:
The answer is C
Step-by-step explanation:
If you plot them carefully.
if y=12 and x=89, then what is the value of z?
Answer:
z = 166°
Step-by-step explanation:
Given:
x = 89
y = 12
An angle with its vertex in a circle = ½(intercepted arcs)
Thus:
x = ½(y + z)
Substitute
89 = ½(12 + z)
Multiply both sides by 2
2(89) = 12 + z
178 = 12 + z
178 - 12 = z
z = 166°
whats 1girl + 1 girl=
Answer:
(whats 1girl + 1 girl=) uhh ima go with 2girl ;)
Step-by-step explanation:
whats 1girl + 1 girl=?
well 1+1=2 so 1girl + 1 girl= 2girl
Canadians who visit the United States often buy liquor and cigarettes, which are much cheaper in the United States. However, there are limitations. Canadians visiting in the United States for more than 2 days are allowed to bring into Canada one bottle of liquor and one carton of cigarettes. A Canada Customs agent has produced the following joint probability distribution of the number of bottles of liquor and the number of cartons of cigarettes imported by Canadians who have visited the United States for 2 or more days.
a. Find the marginal probability distribution of the number of bottles imported.
P(0 Bottles) =
P(1 Bottle) =
b. Find the marginal probability distribution of the number of cigarette cartons imported.
P(0 Cartons) =
P(1 Carton) =
c. Compute the mean and variance of the number of bottles of liquor imported.
Mean =
Variance =
d. Compute the mean and variance of the number of cigarette cartons imported.
Mean =
Variance =
e. Compute the covariance and the coefficient of correlation.
Covariance =
Coefficient of Correlation =
Answer:
(a): Marginal pmf of x
[tex]P(0) = 0.72[/tex]
[tex]P(1) = 0.28[/tex]
(b): Marginal pmf of y
[tex]P(0) = 0.81[/tex]
[tex]P(1) = 0.19[/tex]
(c): Mean and Variance of x
[tex]E(x) = 0.28[/tex]
[tex]Var(x) = 0.2016[/tex]
(d): Mean and Variance of y
[tex]E(y) = 0.19[/tex]
[tex]Var(y) = 0.1539[/tex]
(e): The covariance and the coefficient of correlation
[tex]Cov(x,y) = 0.0468[/tex]
[tex]r \approx 0.2657[/tex]
Step-by-step explanation:
Given
x = bottles
y = carton
See attachment for complete question
Solving (a): Marginal pmf of x
This is calculated as:
[tex]P(x) = \sum\limits^{}_y\ P(x,y)[/tex]
So:
[tex]P(0) = P(0,0) + P(0,1)[/tex]
[tex]P(0) = 0.63 + 0.09[/tex]
[tex]P(0) = 0.72[/tex]
[tex]P(1) = P(1,0) + P(1,1)[/tex]
[tex]P(1) = 0.18 + 0.10[/tex]
[tex]P(1) = 0.28[/tex]
Solving (b): Marginal pmf of y
This is calculated as:
[tex]P(y) = \sum\limits^{}_x\ P(x,y)[/tex]
So:
[tex]P(0) = P(0,0) + P(1,0)[/tex]
[tex]P(0) = 0.63 + 0.18[/tex]
[tex]P(0) = 0.81[/tex]
[tex]P(1) = P(0,1) + P(1,1)[/tex]
[tex]P(1) = 0.09 + 0.10[/tex]
[tex]P(1) = 0.19[/tex]
Solving (c): Mean and Variance of x
Mean is calculated as:
[tex]E(x) = \sum( x * P(x))[/tex]
So, we have:
[tex]E(x) = 0 * P(0) + 1 * P(1)[/tex]
[tex]E(x) = 0 * 0.72 + 1 * 0.28[/tex]
[tex]E(x) = 0 + 0.28[/tex]
[tex]E(x) = 0.28[/tex]
Variance is calculated as:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
Calculate [tex]E(x^2)[/tex]
[tex]E(x^2) = \sum( x^2 * P(x))[/tex]
[tex]E(x^2) = 0^2 * 0.72 + 1^2 * 0.28[/tex]
[tex]E(x^2) = 0 + 0.28[/tex]
[tex]E(x^2) = 0.28[/tex]
So:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
[tex]Var(x) = 0.28 - 0.28^2[/tex]
[tex]Var(x) = 0.28 - 0.0784[/tex]
[tex]Var(x) = 0.2016[/tex]
Solving (d): Mean and Variance of y
Mean is calculated as:
[tex]E(y) = \sum(y * P(y))[/tex]
So, we have:
[tex]E(y) = 0 * P(0) + 1 * P(1)[/tex]
[tex]E(y) = 0 * 0.81 + 1 * 0.19[/tex]
[tex]E(y) = 0+0.19[/tex]
[tex]E(y) = 0.19[/tex]
Variance is calculated as:
[tex]Var(y) = E(y^2) - (E(y))^2[/tex]
Calculate [tex]E(y^2)[/tex]
[tex]E(y^2) = \sum(y^2 * P(y))[/tex]
[tex]E(y^2) = 0^2 * 0.81 + 1^2 * 0.19[/tex]
[tex]E(y^2) = 0 + 0.19[/tex]
[tex]E(y^2) = 0.19[/tex]
So:
[tex]Var(y) = E(y^2) - (E(y))^2[/tex]
[tex]Var(y) = 0.19 - 0.19^2[/tex]
[tex]Var(y) = 0.19 - 0.0361[/tex]
[tex]Var(y) = 0.1539[/tex]
Solving (e): The covariance and the coefficient of correlation
Covariance is calculated as:
[tex]COV(x,y) = E(xy) - E(x) * E(y)[/tex]
Calculate E(xy)
[tex]E(xy) = \sum (xy * P(xy))[/tex]
This gives:
[tex]E(xy) = x_0y_0 * P(0,0) + x_1y_0 * P(1,0) +x_0y_1 * P(0,1) + x_1y_1 * P(1,1)[/tex]
[tex]E(xy) = 0*0 * 0.63 + 1*0 * 0.18 +0*1 * 0.09 + 1*1 * 0.1[/tex]
[tex]E(xy) = 0+0+0 + 0.1[/tex]
[tex]E(xy) = 0.1[/tex]
So:
[tex]COV(x,y) = E(xy) - E(x) * E(y)[/tex]
[tex]Cov(x,y) = 0.1 - 0.28 * 0.19[/tex]
[tex]Cov(x,y) = 0.1 - 0.0532[/tex]
[tex]Cov(x,y) = 0.0468[/tex]
The coefficient of correlation is then calculated as:
[tex]r = \frac{Cov(x,y)}{\sqrt{Var(x) * Var(y)}}[/tex]
[tex]r = \frac{0.0468}{\sqrt{0.2016 * 0.1539}}[/tex]
[tex]r = \frac{0.0468}{\sqrt{0.03102624}}[/tex]
[tex]r = \frac{0.0468}{0.17614266944}[/tex]
[tex]r = 0.26569371378[/tex]
[tex]r \approx 0.2657[/tex] --- approximated
Find the solution set of the inequality:
82 + 2 > 34
SOMEONE PLS HELP
Answer:
82+2>34
84>34
True
I hope this helps :)
The correct expression for a number which is 9 times as big as the number obtained after p has been increased
by 4
Answer:
9(p + 4)
Step-by-step explanation:
One of the unknown variable is p.
First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).
Translating the word problem into an algebraic expression, we have;
9 * (p + 4) = 9(p + 4)
Simplifying further, we have;
9p + 36
Acellus
Find Y.
Round to the nearest tenth.
20 ft/
\22 ft
Y
Х 18 ft
Y= [? ]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Enter
Answer:
58.9
Step-by-step explanation:
y²=x²+z²-2×z cos(y)
20²=22²+18²-2(22)(18) cos (y)
400=484+324-792 cos(y)
-408=-772 cos (y)
408/792=cos y
y=cos⁻¹(408/792)=58.9
hope it helps...
have a great day!!
The irrational number square root 67 is less than [blank]
Answer:
The square root of 67 is less than the whole number of 9
Step-by-step explanation:
8 squared is 64
9 squared is 81
67 is in between them
Using π = 3.14, what is the circumference of a circle with a diameter of 5.5 units?
Round your answer to the nearest hundredth.
Answer:
17.27
Step-by-step explanation:
so we do 5.5/2=2.75
2x3.14= 6.28
6.28x2.75=17.27
A decimal that stops (like 2.48) is which type of number?
A.rational
B.whole number
C.irrational
D.integer
Answer: B rational
Step-by-step explanation:
Verify the following identity and show steps
(Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
Sofia asked 50 students at her school whether they prefer music class or art class as an
elective. This table shows the relative frequencies from the survey.
Answer:
1 and 4
or say it as
More seventh graders prefer art class to music class as an elective
There is no association between a student's grade level and the electives they prefer
Do the ratios 5/18 and 1/2 form a proportion?
Answer:
No they do not.
5/18 ≠ 1/2
If it did, it would be 9/18
Hope that helps!
Step-by-step explanation:
PLS HELP FAST ITS THE LAST DAY TO DO THIS TEST NO LINKSSSS
An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.
When this linear relationship is graphed, which value represents the slope?
A. 3
B. 40
C. 75
D. 195
Answer:
40 because every hour he charges 40 dollas so its 40x+75=y
Step-by-step explanation:
The slope is 40 because every hour he charges 40 dollars so its 40x+75=y
We have given that,
An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.
We have to determine,
When this linear relationship is graphed, which value represents the slope.
What is the slope?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as a rising overrun.
The slope is 40 because every hour he charges 40 dollars so its 40x+75=y
To learn more about slope visit:
https://brainly.com/question/3493733
#SPJ2
Dominic is going to invest $1,800 and leave it in an account for 17 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Dominic to end up with $4,700?
Answer: 5.8%
Step-by-step explanation: got it right lol
Quick answers please!!!!!!
I literally have no idea
Answer:
The solution to this question is 104.25cm²
Step-by-step explanation:
u
Answer:
hi
Step-by-step explanation:
i think so
A=
[tex] = \pi \times {r}^{2} [/tex]
=3,14×5,76²=104,177
hope it helps
have a nice day
to reflect point R(6, 10) over the y-axis. What are the coordinates for R’?
Answer:
-6, 10
Step-by-step explanation:
When you reflect of the y-axis the x will be negative if the original point was positive and the y will stay the same
someone anwser this please
Find the area of the shaded region in the figure below, if the radius of the outer circle is 8 and the radius of the inner circle is 4. Keep your answer in terms of π.
Answer:
48 π
Step-by-step explanation:
Area of Circle =πr∧2
Big Circle Area = π(8)∧2 = 64π
Small Circle Area =π(4)∧2= 16π
Shaded Region = 64π - 16π = 48π
What is the area of a square that has 2/4 units on each side
Answer:
1/4 of 0.25
Step-by-step explanation:
2/4 x 2/4 = 1/4
at first an athlete jogs at 4 miles per hr and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours. how long does the athlete jogs at each speed? the athlete jogged ? hours at a speed of 4 miles per hr and ? hour(s) at a speed of 6 miles per hour?
Answer:
The athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.
Step-by-step explanation:
Given that at first an athlete jogs at 4 miles per hour and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours, to determine how long does the athlete jogs at each speed the following calculation must be performed:
4 x 1.5 + 6 x 0 = 6
4 x 1 + 6 x 0.5 = 7
4 x 0.75 + 6 x 0.75 = 7.5
4 x 0.5 + 6 x 1 = 8
Therefore, the athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.
How many 2 1/3 yards to feet?
Answer:
6.99 rounded up to 7 :))
Step-by-step explanation:
1/3 = 0.33
2.33 * 3 = 6.99 ft