Find the coordinates of the points that are 20 units away from the origin and have a y-coordinate equal to −12.
Answers
9514 1404 393
Answer:
(-16, -12), (16, -12)
Step-by-step explanation:
The given values (side length and hypotenuse) have the ratio ...
12 : 20 = 3 : 5
This suggests that the triangle formed by the axes and the point 20 units from the origin is a 3-4-5 triangle, and the remaining side is 16 units from the y-axis. That means the points of interest are ...
(-16, -12) and (16, -12)
Related Questions
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard
deviation of $2 million. A baseball analyst randomly selects 40 athletes and records the mean salary. What is the shape
of the distribution of the sample mean for all possible random samples of size 40 from this population?
skewed left
skewed right
approximately Normal
approximately uniform
Answers
Answer:
approximately Normal with a mean of 3.2 million and a standard deviation of 0.32 million
Step-by-step explanation:
For normal distribution conditions
1) Sample size is greater than 30
2) Population standard deviation is known
3) population is normal distributed
Above any condition given problem if satisfied than it's distribution will approximately normal.
n = 40 > 30
Sample size(n) greater than 30 and population standard deviation is known.
So the distribution will approximately be normal
Hope this helps!
The shape of the distribution of the sample mean for all possible random samples of size 40 from this population is approximately Normal
The following any or all conditions should be there for normal distribution:
The Sample size is more than 30 .Population standard deviation is known .The Population is normal distributed
Now
n = 40 > 30
Here
Sample size(n) more than 30 and population standard deviation is known.
Learn more: brainly.com/question/17429689
To prepare for a party, Mark buys a small bunch of balloons for $6.00 and gift bags that cost $5.15 each. He spends a total of
$72.95 on the balloons and a gift bag for each person invited to the party. Write and solve an equation to find x, the number of
people Mark invited to the party
Answers
Answer: [tex]72.95 =6.00+5.15x[/tex] , Required equation
The number of people Mark invited to the party = 13
Step-by-step explanation:
According to the question,
Total amount spent = (Price of bunch of ballons)+(cost per gift) x (Number of persons)
Given: Total amount spent =$72.95 , Price of bunch of ballons =$6.00 ,
cost per gift =$5.15
thus,
[tex]72.95 =6.00+5.15x[/tex] , Required equation
To solve , first
subtract 6 from both sides, we get
[tex]66.95=5.15x\\\\\Rightarrow\ x=\dfrac{66.95}{5.15}\\\\\Rightarrow\ x=13[/tex]
The number of people Mark invited to the party = 13
Steve earns extra money babysitting. He charges $37.00 for 4 hours and $64.75 for 7 hours. Let x represent the number of hours Steve babysits and y represent the amount he charges
Answers
Answer:$6.25
Step-by-step explanation:we have that
x------------------> represent the number of hours Steven babysits
y----------------- > represent the amount he charges
for x=6 hours
y=$37.50 ----------------> y/x=37.5/6=6.25
for x=8 hours
y=$50---------------------> y/x=50/8=6.25
therefore
y=6.25x
Please help! 10 points!
What is the probability that a data value in a normal distribution is between a z-score of -0.18 and a z-score of 1.23? Round your answer to the nearest tenth of a percent. O A. 65.0% B. 55.3% C. 46.2% D. 84.3% SUBMIT
Answers
Answer:
C
Step-by-step explanation:
Zscore = - 0.18 ; Z = 1.23
To find the percentage :
P(Z< 1.23) - P(Z < - 0.18)
Using the Z probability calculator :
P(Z < - 0.18) = 0.42858
P(Z < 1.23) = 0.89065
0.89065 - 0.42858
= 0.46207
= 46.2%
What is the probability that a randomly selected
purchase has less than two tickets?
Answers
Answer:
The answers for your question is 0.17
Andrew walks 2000 feet from his house to his office. What distance does he cover?
A. 18,000 in.
B. 24,000 in.
C. 25,000 in.
D. 30,000 in.
Answers
Cleo buys a new car for $18,900. The simple interest rate is 6.6% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?
Answers
Answer:
$6,237 down payment
Step-by-step explanation:
calculated [tex]18,900[/tex]×[tex]6.6%[/tex]%×[tex]5 = $6,237[/tex]
A student claims that they can use rules about the coordinates of point A to tell wether the cosine of the angle formed by the x-axis and the kind that connects the origin to point A will equal a positive or a negative value. Which of the following statements supports the student’s claim?
A) if the y-coordinate is positive, the cosine will equal a positive charge.
B) if the x-coordinate are negative, the cosine will equal a negative value.
C) if the x-coordinate is in Quadrant l, the cosine will equal a negative value.
D) if the x- and y-coordinates are negative, the cosine will equal a positive value.
Answers
9514 1404 393
Answer:
B) if the x-coordinate is negative, the cosine will equal a negative value
Step-by-step explanation:
The cosine of the angle is the x-coordinate of the point where the terminal ray intersects the unit circle. Its sign will match the sign of the coordinates of point A on the terminal ray.
if the x-coordinate is negative, the cosine will be negative
Which of the question below could be the equation of this parabola ?
A) x=-4x^2
B) y=4x^2
C) x=4y^2
D) y=-4x^2
Answers
A jogger travelled 52km in 4 days.what is the rate he travelled per day?
Answers
Answer:
13km per day
Step-by-step explanation:
If this does not involve complex rules then we can calculate the rate just by dividing 52 with 4 which results 13km per day
Goodluck
3. An expandable cone-shaped funnel consists of two sections as shown. (a) What is the volume of the bottom section? (b) What is the volume of the top section?
Answers
Answer:
1. Volume of cone =
where h is the height of the cone and r is the radius.
2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm
so the volume = ()
3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.
V(cone)=
V(top section)=192-24=168
Step-by-step explanation:
Megan worked 20 hours last week. This
week she worked 80% more hours. How
many more hours did she work this week 2
Answers
Answer:
16 more hours for a total of 36 hours.
Step-by-step explanation:
C= 20 × .8
C= 16
T= 20 + C
T = 20 + 16
T = 36
sometimes you have to divide the diamter by 2 to get the radius.
true
false
Answers
it is true
tbh am not sure
aman şego şego...... ....
Answers
sego........ ... sego segó
the premeter of a rectangle is 326cm and its lenght is 98cm find its breath and area
Answers
Perimeter = 2(length+breadth)
326= 2(98+b),
breadth= 65 cm
Area of rectangle = l×b = 98×65= 6370cm²
if the pictures cost .29 cents and you have 353 pictures how much would it could all together
Answers
Answer:
102.37
Step-by-step explanation:
.29*353=102.37
353 pictures times 0.29 per picture=102.37
Josiah baked 24 cookies. He gave 1/6 of them to his family before he took them to his friend's house. How many cookies did he give his family?
Answers
Answer:
4 cookies
Step-by-step explanation:
24 x (1/6) = 24/6 = 4
Answer:
4
Step-by-step explanation:
1/6 can be represented as a percentage 1 divided by 6 = 0.1667...multiply that by 24 and you get 4 with a few decimals that round up to four as you would not want to give them a partial cookie....
Kendra reads in Modern Dog Magazine that the average age of dogs currently alive is 4.8 years. To determine if this finding applies to the customers in her pet store, Kendra surveys every fifth customer in her store who owns a dog and asks the age of their dog. She collects data for seven weeks and obtains the following averages.
Week Average Age (in years)
1 3.7
2 3.8
3 4.2
4 4.1
5 3.9
6 3.9
7 4.0
Select the statement that is true about Kendra's sample.
a) Kendra's samples are both accurate and precise.
b) Kendra's samples are precise but not accurate.
c) Kendra's samples are neither accurate nor precise.
d) Kendra's samples are accurate but not precise.
Answers
Answer:
The true statement about Kendra's sample is:
b) Kendra's samples are precise but not accurate.
Step-by-step explanation:
a) Data and Calculations:
Average age of dogs currently alive = 4.8 years
Average ages of dogs in Kendra's sample
Week Average Age (in years)
1 3.7
2 3.8
3 4.2
4 4.1
5 3.9
6 3.9
7 4.0
Total 27.6
Mean = 3.9 (27.6/7)
b) Accuracy refers to how close Kendra's sample mean age of dogs is to the average age value as stated in the Modern Dog Magazine. While the Magazine stated an average age of 4.8 years, Kendra's sample produced a mean of 3.9 years. On the other hand, precision refers to how close Kendra's sample measurements are to each other. With a mean of 3.9 years, the sample measurements are very close to each other. Therefore, we can conclude that "Kendra's samples are precise but not accurate."
Answer:
Kendra's samples are precise but not accurate.
Step-by-step explanation:
To be accurate and precise they should be around 4.8 for all the measures. We can see that they are all relatively close to one another (between 3.7 and 4.2), so they are precise. However, they are all are smaller than 4.8, so they are not accurate.
Factor of 15x - 20y
Answers
Answer:
0
Step-by-step explanation: Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20y' to each side of the equation.
15x + 20y + -20y = 0 + -20y
Combine like terms: 20y + -20y = 0
15x + 0 = 0 + -20y
15x = 0 + -20y
Remove the zero:
15x = -20y
Divide each side by '15'.
x = -1.333333333y
Simplifying
x = -1.333333333y
A flower garden is the shape of a circle. The circumference of the garden is 20 meters. What is the area of the garden. Use 3.14 for pie and round your answer to the nearest whole number.
Answers
Answer:
Circumference = 2 pi r = 2*3.14 *r = 20
radius r = 20 / 2*314 = 3.185
Area = pi r^2 = 3.14 * 3.185^2 = 32 m^2 to nearest whole number
Sketch a graph that has the following characteristics. (8 points: 2 points for each characteristic)
a. Crosses the y-axis at (0, 4)
b. Increases in the interval –12 ≤ x ≤ –2
c. Constant in the interval –2 ≤ x ≤ 2
d. Decreases in the interval 2 ≤ x ≤ 12
Answers
87 Step-by-step explanation:
Ill answer when i get the result
If x=4 and y=5. The value of 3x-5y
Answers
Answer:
13, I believe :)
Step-by-step explanation:
3(4)-5(5)
multiply by the coefficient
=12-25
=-13
PLZ HELP ME!!!!
how much water must be evaporated from 32 ounces of a 4% salt solution to make an 8% salt solultion?
Answers
Answer:
16 ounces.
Step-by-step explanation:
An 8% solution is 2 times stronger than a 4% solution.
So in the 8% solution we will have 1/2 of the volume as a 4% , so 1/2 * 32
= 16 ounces of water must be evaporated.
The number 16 ounces of water must be evaporated from 32 ounces of a 4% salt solution to make an 8% salt solution.
What is a linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
To find the amount of water that must be evaporated from 32 ounces of a 4% salt solution to make an 8% salt solution:
0.96(32) - x = 0.92(32 - x)
30.72 - x = 29.44 - 0.92x
x - 0.92x = 30.72 - 29.44
0.08x = 1.28
x = 16
Therefore, 16 ounces must be evaporated.
To learn more about the linear equation;
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2 Probability of people that like cheese and can’t ride a bike
3 find the marginal probability of people that like pepper pizza
4 find the conditional of ppl that like cheese given that they can’t ride a bike
Use the table!!!!!!! QUICKKKKKK
Answers
Answer:
i think its 60%
Step-by-step explanation:
if its wrong im rlly sorry
mark me as brainliest if its right pls
Mention 3 places
where you can get
pre-approved for a
car loan
Answers
Answer:
Auto Credit Express, Carvana, Capital one auto loan
PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GET IT RIGHT
Answers
Answer:
neither, since the gradients are not the same, as well as the c value
Step-by-step explanation:
First line : y = -4x + 7
Second line : y = -4x + 3
We know that the standard form of equation of a line is y = mx + c
where :
m is the slope
c is the y intercept
Comparing both line equations with the standard form, we can notice that :
⊕ Slope of the first line = -4
⊕ Slope of the second line = -4
We know that Slopes of parallel lines are same
So, We can conclude that the given two lines are parallel to each other
Answer : Parallel because the slopes are the same
Jenn determined that the graph of the quadratic funtion f(x) =x^2 -9 has two x-intercepts. do you agree with her? why or why not?
Answers
Answer:
Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.
Step-by-step explanation:
x-intercepts of a function:
The x-intercepts of a function are the values of x for which f(x) = 0.
In this question:
[tex]f(x) = x^2 - 9[/tex]
x-intercepts:
[tex]x^2 - 9 = 0[/tex]
[tex]x^2 = 9[/tex]
[tex]x = \pm \sqrt{9}[/tex]
[tex]x = \pm 3[/tex]
Jenn:
Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.
The side view is a bookend is shown. The perimeter of the bookend is 58 centimeters
Answers
Answer:
Step-by-step explanation:
The equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.
Given that, the perimeter of the bookend is 58 centimeters.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
Now, the perimeter is
5m-14+2m-7+3/2 m+2+3m+8=58
⇒ 10m+3/2 m-11=58
⇒ (20m+3m)/2=69
⇒ 23m=138
⇒ m=138/23
⇒ m=6
Therefore, the equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.
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Find the circumference and area of a circle having a diameter of 7 1/2 ft. Use 3.14 for pi
Answers
Answer:
circumference= 32.56
area= 44.18
Step-by-step explanation:
for area: (A=pi×r^2) your diameter is 7.5 so you divide that by 2 to get your radius. and the radius is 3.75. then you are going to do 3.75^2 to get 14.1 then you are going to multiply 14.1 by pi to get 44.18
for circumference: (2×pi×r) you are going to take the same radius for the area and simply multiply that by pi (3.14) to get 11.78, then you are going to multiply 11.78×2 and that equals 23.56
PLEASE ANSWER!! Solve for angle Z using the Sine Law. Round to the nearest degree.
Answers
Answer:
Z = 51º
Step-by-step explanation:
sinZ/12.5 = sin76/15.5
multiply both sides by 12.5
sinZ = sin76/15.5 * 12.5
Use calculator
sinZ = 0.782496553448384
Z = arcsin 0.782496553448384
Use calculator again
Z = 51.48972926377471º
Rounded
Z = 51º
