Trisha and Beth are going to play a couple video games. Trisha has her favorite and beth has adifferent favorite. if 2 games are chosen at random out of the total games, what is the chance that both of their favorites are chosen?
Answer:
2/12 or 1/6
Step-by-step explanation:
12 games total
they have 2 games that are there favorite
what is the distance between ( -5, 3 ) and ( 3, 3 ) ?
Answer:
distance between these point is 8
Step-by-step explanation:
d=
[tex] \sqrt{( 3- - 5) ^{2} + (3 - 3)^{2}} [/tex]
Answer:
8 is the distance between them
FYI distance formula is the square root of (x2 -x1)^2 = (y2- y1)^2
Step-by-step explanation:
if it costs $4 to make 3 cards, and $6 to make 7 cards, what's the total cost of making 25 cards?
Answer:
Step-by-step explanation:
7+3 = 10 $4+$6=$10
so it costs 10 dollars to make ten cards, how many times does 10 go into 25? 2
so $20 so far, I'm not that good at explaining.
Now with the remaining 5 cards that we have to make, we add three and have 24$ for 23 cards. Now with the remaining two cards we add $1.50.
because 2 x 1.50 = 3
so $25.50 for 25 cards I think...
I really hope I'm right and I hope this helps!
If a jar contains 5 red marbles, 4 blue marbles, 7 yellow marbles, and 3 green marbles, what is
the probably that a randomly selected marble is red or yellow?
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
Answer:
Likely
Step-by-step explanation:
The answer is likely because out of 19 marbles the probablility o choosing a red or yelow marble is 12. When you divide 12 by 19 then you get 63 which is close to the likely side.
HELP ME PLEASE ❗❗❗❗
What is the value of Q3 of the data represented by the box plot?
Enter your answer in the box.
Answer:
Q3 = 30
Step-by-step explanation:
minimum value = 5
Q1 = 20 (this is the median of the lower half of data)
Median (sometimes called Q2) = 25
Q3 = 30 (this is the median of the upper half of data)
maximum value = 45
1 Which of the following is an equation of the line containing points (0, -5) and (5, -3)?
Answer:
y=8/5x-11
Step-by-step explanation:
first you find the gradient of the line:- y(of the first point)minus y(of the second point) divided by x(of the first point)minus x(of the second point)
-5-3=-8
0-5=-5 gradient=8/5
finding equation8=y-3
5=x-5 then cross multiply you will get :-
5(y-3)=8(x-5)
5y-15=8x-40
5y=8x-40+15
5y=8x-25
5y=8x-25
5 5 5
y=8x-5
5
Find the center and radius of the circle with the given equation. Then graph
the circle.
x² + y² = 16
Answer:
Step-by-step explanation:
Center (0,0)
radius = √16 = 4
For the equation, x² + y² = 16:
(0, 0) is the center and 4 is the radius.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Given:
An equation of a circle,
x² + y² = 16.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Comparing, we get,
center is (0, 0)
And radius r² = 16
And r = 4
Therefore, (0, 0) is the center and 4 is the radius.
To learn more about the circle;
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A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 46 cables and apply weights to each of them until they break. The 46 cables have a mean breaking weight of 779 lb. The standard deviation of the breaking weight for the sample is 15.4 lb. Find the 99% confidence interval to estimate the mean breaking weight for this type cable.
Answer:
The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 46 - 1 = 45
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.69
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.69\frac{15.4}{\sqrt{46}} = 6.1[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 779 - 6.1 = 772.9 lb
The upper end of the interval is the sample mean added to M. So it is 779 + 6.1 = 785.1 lb
The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.
Someone please explain how you got the answer please and thank you
Answer:
3 texts by madelyn, there were 2 texts from aubrey
Step-by-step explanation:
the ratio of maddie to aubrey was 18:12 which is 3:2
so 3 by maddie = 2 by aubrey
i used maddie because its shorter
Answer:
6 + 6 is 12 and 12 + 6 is 18 so i think its for every 6 text sent and then 6 again (6 in both boxes)
Step-by-step explanation:
adore your sasha pfp
A person places $51200 in an investment account earning an annual rate of 5.4%, compounded continuously. Using the formula V = Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 6 years.
Answer:
7,078,912 cents
Step-by-step explanation:
Given the formula for calculating the value of the account in t years as;
V = Pe^rt
P is the principal initially invested
e is the base of a natural logarithm,
r is the rate of interest
t is the time
Given
P = $51200
r = 5.4% = 0.054
t = 6years
Substitute
V = 51200e^(0.054)(6)
V = 51200e^(0.324)
V = 51200(1.3826)
V = $70,789.12
V = 7,078,912 cents
hence the amount in the account after 6 years to the nearest cent is 7,078,912 cents
Answer:
Step-by-step explanation:
A rectangle has length of (5x+2) and a width of (3x-1) with an area of 308 units squared. Find the perimeter
Answer:
haach f,f msfmavfb
Step-by-step explanation:
Select all the statements that are true
Answer:
Options 2, 4 and 6 are True.
Step-by-step explanation:
Triangle MNO is dilated by a scale factor of [tex]\frac{3}{2}[/tex] centered at M(0, 6).
Rule to be followed to dilate the vertices of the given triangle,
(x, y) → (kx, ky)
Here, k = scale factor
By this rule vertices of the new triangle M'N'O' will be,
M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]
N(-4, -4) → N'(-6, -6)
O(6, -2) → O'(9, -3)
Option 1
M'N' is shorter than MN
Distance between M and N = [tex]\sqrt{(0+4)^2+(6+4)^2}[/tex]
= 10.77
Distance between M' and N' = [tex]\sqrt{(0+6)^2+(6+6)^2}[/tex]
= 13.42
Therefore M'N' > MN
Therefore, Option A is False.
Option 2
ON is shorter than O'N'
True.
Option 3
OM is longer than O'M'
False
Option 4
ON is parallel to O'N'
Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.
True.
Option 5
OM is parallel than O'M'
Since, O'M' is the dilated form of OM,
Therefore, all the points (O, M and M') will be in a straight line.
False
Option 6
M'N' coincide with MN
True.
Therefore, Options 2, 4 and 6 are True.
Two angle measures of a triangle are 35° and 50° . What is the measure, in degrees, of the other angle?
The measure of the third angle of the triangle is 95°
According to the triangle theorem :
The sum of the angles in a triangle is 180° ; i.e Given a triangle A, B and C ; the sum of it's angles :
A + B + C = 180°
Hence, for a triangle with two of it's sides being ; 35° and 50°
Let the third angle = x
The third angle will be :
180° = (35° + 50° + x)
180° = 85° + x
x = 180° - 85°
x = 95°
Hence, the measure of the third angle is 95°
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x-3=14 use the opposite operation found in the equation.
Step-by-step explanation:
x-3=14
x=14+3
x=17
verification
x(17)-3=14
17-3=14
14=14
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 3x^4 − 4x^3 − 12x^2 + 1, [−2, 3]
Find the stationary points.
f(x) = 3x ⁴ - 4x ³ - 12x ² + 1
f '(x) = 12x ³ - 12 x ² - 24x
Solve f '(x) = 0.
12x ³ - 12 x ² - 24x = 12x (x ² + x - 2) = 12x (x - 1) (x + 2) = 0
→ x = 0, x = 1, x = -2
Check the value of f at the stationary points.
f (0) = 1
f (1) = -12
f (-2) = 33
Check the value of f at the boundary of the domain.
f (3) = 28
(We've already checked f (-2).)
Then over [-2, 3], we have max(f ) = 33 and min(f ) = -12.
Please help if not I with find you
Answer:
7,7,15
Step-by-step explanation:
Because the summation of two sides should be greater than the other one
The graph shows the function f(x).
What is the function's average rate of change from x=−1 to x = 1?
Enter your answer, as a simplified fraction, in the boxes.
Explanation is in the file
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Jean worked 47 hours last week and was paid $527. How much was she paid per hour?
Answer:
11.2127659574
Step-by-step explanation:
Answer:
$11.21 per hour.
Step-by-step explanation:
Divide the pay by the hours worked and round to the nearest tenth.
527/ 47 = 11.21276596 then round to 11.21
three times a number,minus 2, is equal to two times the number,plus 7
Answer:
9
Step-by-step explanation:
3x−2=2x+7
Step 1: Subtract 2x from both sides.
3x−2−2x=2x+7−2x
x−2=7
Step 2: Add 2 to both sides.
x−2+2=7+2
Answer:
x=9
Answer:
9
Step-by-step explanation:
3x-2=2x+7
3x-2x-2+2=2x-2x+7+2
x=9
3(9)-2=2(9)+7
27-2=18+7
25=25
For Gianna's lemonade recipe, 8 lemons are required to make 10 cups of lemonade. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Answer:
4 5
8 10
24 30
Step-by-step explanation:
Which expression has a value of 7 when x=-2?
A:|3x+5|-4
B:|-3x-3|+10
C:|-4x+6|-7
D:|4x-8|-5
Answer:
DONT PRESS THAT LINK
Step-by-step explanation:
I need to bring my math grade up !!! Does anyone know that answer
Answer:
2/5 of hangar a = hangar b
Step-by-step explanation:
What is the product?
One-third times 33.99
Answer:
11.33
Step-by-step explanation:
um I'm not that good at explaining but...
33/3=11
99/3=33
put it together
11.33
LOOK AT THE PICTURE!!
Answer:
56
Step-by-step explanation:
A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.
What is the volume of the desk drawer?
pls help Ill give you brainiest and pic for your profile
Answer:
1470
Step-by-step explanation:
How do you solve 11-15?
(f)x=3(2)^x for x=-1
Answer:
f(-1) = 3/2
Step-by-step explanation:
y = 3(2)^-1
2^-1 = 1/2^1
1/2^1 = 1/2
3 x 1/2 = 3/2
Estimate 4/5x6/7
I WIL MARK BRAINLIEST IF ITS THE BEST ANSWER
Answer:
Simplify x6/7
4/5 x x6/7
Simplify 4/5
4/5 x x6/7
Finally the answer
4x6/35
Help me with this please
Answer:
x = 37.5
Step-by-step explanation:
The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees. That gives us the number 105°
Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).
That gives us:
(180 / 105) / 2
= 75 / 2
= 37.5
Find the perimeter of the triangle to the right
9514 1404 393
Answer:
76.5 units
Step-by-step explanation:
This is an interesting question. The side lengths are proportional to the sine of the opposite angle. So, we can find a scale factor for the given length by adding the sines of the angles and dividing by the sine of the angle opposite the given side.
The three angles are ...
43°, 63° and 74° (the supplement of the sum of the other two)
So, the scale factor mentioned above is ...
(sin(43°) +sin(63°) +sin(74°))/sin(74°) ≈ 2.636396
Then the perimeter of the triangle is ...
(2.636396)(29) ≈ 76.5 . . . units