Answer:
The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]
Step-by-step explanation:
We are given the following plane curve:
[tex]x = 7 \cos{t}[/tex]
[tex]y = 5 \cos{t}[/tex]
Ordered pair for a value of t:
We find (x,y) for these values of t. So, when [tex]t = \frac{\pi}{6}[/tex]
[tex]x = 7 \cos{\frac{\pi}{6}} = 7\frac{\sqrt{3}}{2} = \frac{7\sqrt{3}}{2}[/tex]
[tex]y = 5 \cos{\frac{\pi}{6}} = 5\frac{\sqrt{3}}{2} = \frac{5\sqrt{3}}{2}[/tex]
The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]
A scale drawing of a rectangular park had a scale of 1 cm = 100 m.
What is the actual area of the park in meters squared?
PLEASE HELP, 40 POINTS!
Answer:
521,400
Step-by-step explanation:
660 times 790
The area of the rectangular park which having 660 meter and 790 meter is 521400 m².
How to find area of rectangle ?A = l b is the formula for the Area of a Rectangle. Once the length and width of a rectangle are known, the area is calculated. The area of a rectangle can be calculated by multiplying its length and width.
The area is the amount of space covered by a flat surface of a specific shape. It is expressed as a "number of" square units. The number of unit squares that can fit into a rectangle is defined as its area. Rectangular shapes include the flat surfaces of laptop monitors, blackboards, painting canvas, and so on. The space occupied by these objects can be calculated using the area of a rectangle formula.
In this figure 1 cm = 100 m
6.6 cm * 100m = 660 m
7.9 cm * 100m = 790 m
Area of the park = 521400 m²
To learn more about area refer :
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The mean of a set of credit scores is Mu = 690 and Sigma = 14. Which statement must be true?
Answer:
B
Step-by-step explanation:
Answer: It’s C
Step-by-step explanation:
An expression is shown below:
2x3y + 8xy − 4x2y − 16y
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Plz help, give good answer and get brainlest!!
Answer:
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
answer:
2y(x³+4x-2x²-8)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
answer:
2y(x³+4x-2x²-8)
2y(x³-2x²+4x-8)
2y(x²(x-2)+4(x-2))
2y(x²+4)(x-2)
HELP!!I NEED IT RIGHT NOWWWW
Part B: Select the possible dimensions, in inches of the container.
1in, lin, 10 in
1in. 2 in, 5 in
O O O O
1 in 2 in, 15 in
1 in. 9 in 10 in
2 in 3 in 5 in
2 in 5 in 9 in
Answer:
2 3 5
Step-by-step explanation:
Scarlet made a scaled copy of the following quadrilateral. She used a scale factor greater than 1. What could be the length of the side that corresponds with AD on the scaled copy of quadrilateral.
Answer:
10 or any number >9
Step-by-step explanation:
Side AD is 9 units long so if the scale factor is greater than 1 you multiply that side by 1. This will give you a number such as 10 or 18 or any number that is greater than 9.
Pls give me the answer asap I'll give the crown thingy
Answer:
Step-by-step explanation:
150 -12.2 -rounded
350 -18.4.
add or subtract
5
Type the correct answer in each box.
50°
60°
709
Х
50°
The value of xis
o, and the value of yis
Answer:
x = 60°
y = 50°
Step-by-step explanation:
✅x = 180° - (50° + 70°) (sum of interior angles of a triangle theorem)
x = 180° - 120°
x = 60°
✅Based on the exterior angle theorem, the sum of the opposite interior angles of a triangle = the exterior angle.
Therefore,
50° + 60° = x + y
Plug in the value of x
50° + 60° = 60° + y
110° = 60° + y
y = 110° - 60°
y = 50°
Which solid figure has the following net? Pentagonal prism hexagonal prism hexagonal pyramid pentagonal pyramid
The correct answer is pentagonal prism.
Virgil has 1/6 of a birthday cake left over. He wants to share the leftover cake with 3 friends. What fraction of the original cake will each of the 4 people receive? Draw a picture to support your response.
Answer:
Each of the 4 people will get 1/24 of the original cake
Step-by-step explanation:
The fractional part of cake left out is 1/6
This remaining cake is to be divided among four people.
Thus, each person will get
fractional part of cake left/total number of people
i.e 1/6/4
= 1/24
Each of the 4 people will get 1/24 of the original cake
2. Perform the following multiplication: (+5)(-2)(+7)(-4)(-1)
Answer:5
Step-by-step explanation:
Can someone help me please
Answer:
Wassup what do you need help with
HELPPP I NEED WORK FOR IT AS WELL

Answer:
Radius is 9
Formula of a circumference is:
2πr
we can use pie/π as 3.14
3.14 x 2 x 9 (radius) = 56.52
Step-by-step explanation:
If there is a diameter only do half of that and that would be your radius.
Answer:
18π inches (or approximately 56.549 inches)
Step-by-step explanation:
The formula to find circumference is 2πr (or πd). Since we are given the radius (which is half of a circle), we will use 2πr, and the radius (or r) is equal to 9. So you just plug that into the circumference formula, and get:
2*π*9 = 18π
So, the circumference is 18π inches or approximately 56.549 inches (when rounded to the nearest thousandths).
is 12cm, 24cm, 29cm a right triangle
YES OR NO
Answer: no it is 10,24,26
Step-by-step explanation:
A rocket is launched from atop a 74-foot cliff with an initial velocity of 113 ft/s. The height of the rocket above the ground at time t is given by h=16t^2+113t+74. When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.
9514 1404 393
Answer:
7.7 seconds
Step-by-step explanation:
The solution is given by the quadratic formula.
For ax² +bx +c = 0, the roots are ...
x = (-b±√(b²-4ac))/(2a)
We want the positive root, so ...
x = (-113 -√(113² -4(-16)(74)))/(2(-16)) = (113 +√17505)/32 ≈ 7.6658
The rocket will hit the ground about 7.7 seconds after it is launched.
Write the log equation as an exponential equation. You do not need to solve for x. log(5x+2)=3
Answer:
So happy you are with brainly
Step-by-step explanation:
34
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
The confidence interval for the sample regression function slope A) can be used to conduct a test about a hypothesized population regression function slope. B) can be used to compare the value of the slope relative to that of the intercept. C) adds and subtracts 1.96 from the slope. D) allows you to make statements about the economic importance of your estimate.
Answer:
A) can be used to conduct a test about a hypothesized population regression function slope.
Step-by-step explanation:
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
In Mathematics, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.
The confidence interval for the sample regression function slope can be used to conduct a test about a hypothesized population regression function slope.
1. At the post office, Tiffany paid $11.04 for 24 stamps. At this rate, how much Would it cost Tiffany to buy 18 stamps?
A. $0.46 B. $2.76 C. $8.28 D.$17.64
2. A group of friends hiked 7 miles in 2 hours. At this same rate, what is the total number of miles they can hike in 8 hours?
a. 40 Miles
b. 28 miles
C. 11 miles
D. 9 miles
Giving brainly to Who every answer this question Please explain
Answer:
For question one: $8.28
For question two: 28 miles
Step-by-step explanation:
For question one: You divide 11.04 by 24 to get .46 the multiply that .46 by 18 to get 8.28
For question two: The ratio between the two is 7/2 and x/8. So to find x, you divide 8 by 2, getting 4. Then multiply that 4 by 7 to get 28.
Which angle is complementary to ZCOD?
Need help asap
Answer:
angle BOC
Step-by-step explanation:
complementary angles add up to 90 degrees
Choose all the fractions that are equivalent to 4/12 2/8 9/27 8/24 5/15 1/3
Tell wether the triangle with the given side is a right triangle.
Answer:
Number 4 is a right triangle whether 3 isnt.
Step-by-step explanation:
I just know this because a right triangle is always gonna have a 90 degree angle whether that number 3 doesnt have one
Which best describes an angle?
A. Two distinct rays that originate from a common point
B. Two parallel lines on a plane
C. The set of all points equidistant from a particular point
D. A line with a starting point that extends to infinity
Will give to the brainliest!!
In triangle ABC, the length of side AB is 19 inches and the length of side BC is 28 inches. Which of the following could be the
length of side AC?
Answer:
43 inches
Step-by-step explanation:
Liam is a tyre fitter.
It takes him 124 minutes to fit 4 tyres to a lorry.
a)
How long would it take him to fit 6 tyres to a lorry?
b)
If he works for 93 minutes, how many tyres can he fit?
Find each missing measure
PLS HURRY WILL GIVE BRANLIEST. DON'T RESPOND WITH LINKS
Answer: 1 = 90 2=58 3=90 6=58 7=8
Step-by-step explanation:
I don’t know what 4 and 5 are
HELP PLEASE VERY IMPORTANT
Answer:
[tex]2 \times (7 \times 3 + {3.5}^{2} \times \pi \times 0.5) + (7 + 6 + (7 \times \pi \times 0.5)) \times 9[/tex]
What is P(11 and 13)?
A. 1/8
B. 1/4
C. 1/16
D. 1/64
Answer:
i think it would be a) 1/8
Step-by-step explanation:
sorry if its wrong
What is the missing number
Answer:
1
Step-by-step explanation:
What is the approximate volume of the cone? Use 3.14 for π.
Round to the nearest tenth. NO LINKS pls help <3
Answer:
About 131.95 (you may have to round up)
Step-by-step explanation:
Volume of a cone = pi(r^2)(h/3)
= pi(3^2)(14/3)
= pi(9)(4 & 4/5)
= pi(43.2)
If your teacher wants an exact number, you have to multiply 43.2 y whatever your teacher says to shorten pi to, usually 3.14. The about 131.95 is from 43.2*3.14 I think.
Help! Jeez these are hard.
Answer:
option 2
Step-by-step explanation:
a colored in dot is less than or equal to or greater than or equal to while an uncolored dot is less then or greater than. arrow going left of the number is less than arrow going right is greater than. the problem is a is greater than 4/5 so an uncolored dot shout be on 4/5 going to the right