Answer:
[tex]\frac{13}{204}[/tex] ≈ 0.0637
Step-by-step explanation:
Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.
To find: probability of choosing a heart and then, without replacement, a spade
Solution:
Probability refers to chance of occurrence of any event.
Probability = Number of favorable outcomes ÷ Total number of outcomes
Total number of cards = 52
Number of hearts = 13
So,
probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]
Number of remaining cards = [tex]52-1=51[/tex]
Number of spades = 13
Probability of choosing a spade = [tex]\frac{13}{51}[/tex]
Events consisting of choosing a heart and spade are independent.
So,
Probability of choosing a heart and then, without replacement, a spade =
Probability of choosing a heart × Probability of choosing a spade
= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637
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
Which values are solutions to × < 10? A. × = 1 and × = 9 B. × = 18 and x = - 11 C. × = 9 and × = 15 D. × = 15 and × = 18
Answer:
A
Step-by-step explanation:
you need find the smaller numbers of 10 which would be in answer A. all the other answers are bigger than 10
divide the 240g into the ratio 5:3:4?
5x+ 3x +4x =12x
12x =240
X=20
100:60:80
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
i got used for points like 4- times already 5 time is a charm someone would help ?
Answer:
B
Step-by-step explanation:
Because i said it is
Answer:
The answer for A is (3,5) so plot that into the graph. Those are the coordinates for F
The answer for B is "F and C are 5 units away from the x-axis
The answer for C is "The distance between F and C is 10 units"
Step-by-step explanation:
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
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
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.
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
art teacher has 450 sheets of construction paper on first day of school. students used 18 sheets during each school day. how many school days did the construction paper last?
Answer:
25
Step-by-step explanation:
025
18 |450
- 36
090
- 90
00
Find the volume of the cylinder.
1607.7 in 3
2845.7 in 3
6430.7 in 3
401.9 in 3
Answer:
[tex]\Huge\boxed{1607.7in^3}[/tex]
Step-by-step explanation:
Hello There
The volume of a cylinder can be found using this formula
[tex]V=\pi r^2h[/tex]
where r = radius and h = height
The cylinder shown has a radius of 8 inches and a height of 8 inches
Knowing this information we plug it in into the formula
[tex]V=\pi 8^28\\8^2=64\\64*8=512\\512\pi=1607.68[/tex]
Finally we round to the nearest tenth and get that the volume of the cylinder is 1607.7 in ^3
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.
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:
Which equation describes the line of best fit for the scatter plot?
A.) y=2.7x B.) y=2.7x-4 C.) y=0.37x D.) y=0.37x-4
A parallelogram has a height of 3.5 feet and a base measurement of 12 feet. What is the area of a triangle that has the same height and base measurement?
42 ft2
28 ft?
O2112
15.5 ft2
Answer:
42 ft 2 is the closest answer I got
HELP ASAP WILL BRAINLYIST
Which angles are alternate interior angles?
Angle3 and angle5
Angle1 and angle7
Angle3 and angle7
Angle 4 and angle5
Answer:
Angle 3 and Angle 5 are the alternate interior angles.
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
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:
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:
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;
https://brainly.com/question/29142813
#SPJ2
A system has two components: A and B. The operating times until failure of the two components are independent and exponentially distributed random variables with parameter 2 for component A, and parameter 3 for component B. The system fails at the first component failure.
(a) - Read section 1.5.2 in the textbook.
(b) - What is the mean time to failure for component A and for component B
Answer:
[tex]E(x) = \frac{1}{2}[/tex] -- Component A
[tex]E(x) = \frac{1}{3}[/tex] -- Component B
Step-by-step explanation:
Given
Distribution = Exponential
[tex]\lambda = 2[/tex] --- Component A
[tex]\lambda = 3[/tex] --- Component B
Solving (a): The mean time of A
The mean of an exponential distribution is:
[tex]E(x) = \frac{1}{\lambda}[/tex]
We have:
[tex]\lambda = 2[/tex] --- Component A
[tex]E(x) = \frac{1}{2}[/tex]
Solving (b): The mean time of B
The mean of an exponential distribution is:
[tex]E(x) = \frac{1}{\lambda}[/tex]
We have:
[tex]\lambda = 3[/tex] --- Component B
[tex]E(x) = \frac{1}{3}[/tex]
What is the distance between the points (7, 8) and (-8. 0) on a coordinate grid?
Answer:
The distance between (7,8) and (-8,0) is: 17Step-by-step explanation:
Hope this helps :)
Answer:
d= 17
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
d= [tex]\sqrt{(-8-7)^{2}+(0-8)^{2} }[/tex]
d= [tex]\sqrt{289}[/tex]
d= 17
LOOK AT THE PICTURE!!
Answer:
56
Step-by-step explanation:
Please Im stuck. One box contains 24 bottles of soda. Each bottle contains 0.5 dl. Alex celebrates his birthday and 1/3 of the bottles are drunk. A) How many bottles are drunk? B) How many liters of soda are drunk in total on the birthday?
Answer:
(a) 8 bottles(b) 0,4 LitresStep-by-step explanation:
There are
24 bottles/box0,5 decilitres/bottle = 50mL/bottle = 50 × 24 bottles = 1200mL = 1.2 Litres1/3 of the bottles are drunk = 1/3 × 24 = 8 bottles are drunk (a)8 bottles × 50 mL = 400 mL = 0,4 Litre____________________
#IndonesianPride - kexcvi
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
CAN SOMEBODY PLEASE HELP ME!!
Answer:
2,2 2,7 5,7
Step-by-step explanation:
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
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
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
After traveling 70 m in its dive, the submarine is at a depth of 25 m. What will the submarine’s depth be if it continues its dive for another 110 m? (NOTE: The total length of the dive is MORE than 110m!)
Answer:
Total Depth: 64.28m
Step-by-step explanation:
Assuming that the submarine is travelling at a constant rate, then we can use the information provided and apply a Rule of Three since it is basically a ratio problem. In this rule, you simply need to multiply the diagonal values of the ratio and divide by the last value to get the variable, which would be the depth after 110m
70min <=======> 25 m
110min <=======> x m
(110 * 25) / 70 = x
2750 / 70 = x
39.28 = x
We can see that at 110min the depth would be 39.28 m but since this is an additional period of time that the submarine travelled we need to add this distance to the initial 25 m to get the total depth of the submarine.
39.28m + 25m = 64.28m