Answer:
The probability of the given scenario occuring is about 0.0153.
Step-by-step explanation:
A standard deck contains 52 cards.
We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.
So, the probability that the first card is a spade is 13/52 or simply 1/4.
Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.
This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.
Now that we've drawn two cards without replacing them, the total number of cards left is 50.
And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.
Then the probability of the third card being hearts will be 12/50 or 6/25.
Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:
[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]
The probability of the given scenario occuring is about 0.0153.
Help if you can!
Also, show work
thxxx <3
-10 pts
Answer:
1. A. 66 cubic inches.
2. A. 151,410,000
Step-by-step explanation:
For number one: Multiply 3 x 4 and that will give you 12 then multiply that by 11 and that will also give you 132. Lastly, divide 132 by 2 and it will get you 66 cubic inches.
For Number two: Multiply 420 by 721,000 and that will give you 302,820,000.
Once you have that, divide it by 2 and will give you 151,410,000.
Find the surface area of the prism
Answer:
192 km²
Step-by-step explanation:
Surface Area of the triangular prism = 2(Base Area) + Perimeter of Base*height of the prism
✔️Base Area = ½*bh
b = 6 km
h = 8 km
Base area = ½*6*8 = 24 km²
✔️Perimeter of base = 6 + 8 + 10 = 24 km
✔️Height of prism = 6 km
Plug in the values into the equation:
Surface area = 2(24) + 24*6 = 48 + 144
Surface area = 192 km²
A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random?
1/5
1/7
5/21
5/20
Answer:
1/5
Step-by-step explanation:
7 + 13 =20
20 + 5 = 25
5 is a fifth of 25
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
There are 25 socks in total, only 5 of these are green.
The proportion would look like this:
[tex]\frac{5}{25}=\frac{1}{5}[/tex]
If the length of a rectangle is (x + 7) inches and the width is (3x+2) inches. Which expression represents the rectangle's area? HINT: Area = width * length
Answer:
The answer is no 1:
[tex]3x ^{2} + 23x + 14[/tex]
PLEASE HELPPO ITS A TEST AND I DONT HAVE TIMEE
Answer:
I can help but there's no question.... let me know when you either reupload the question or edit it :)
Step-by-step explanation:
I'd be glad to help!
Average mido Find the mean, median, and range of the following data items: 74, 75, 78, 84,94 18 20 84 78 81 82.5 Mean Median Range
Answer:
18: mean = 70.5
median = 76.5
range = 76
20:
mean = 70.83
median = 76.5
range = 76
84:
mean = 81.5
median = 79.5
range = 20
78:
mean = 80.5
median = 81
range = 20
81:
mean = 81
median = 80.25
range = 20
82.5:
mean = 81.5
median = 80.25
range = 20
Step-by-step explanation:
mean = average = sum of numbers / amount of numbers present
median = middle number (arranged least to greatest)
range = largest number - smallest number
find the slope of each line
Answer:
(1,1) and (2,-4)
Step-by-step explanation:
i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help
Find the product for the following expressions:
(8c + 2)(5c-7)
Answer:40c^2-46c -14
Step-by-step explanation:
(8c+2)*(5c-7)
8c*(5c-7)+2(5c-7)
40c^2-56c+10c-14
40c^2-46c-14
Answer:
(8c + 2)(5c-7) = 40c²-46c-14Explanation:
(8c + 2)(5c-7) = 40c²-56c+10c-14
(8c + 2)(5c-7) = 40c²-46c-14
Help with this question pls & graph on MY graph pls
Answer:
I cant graph it on yours, but hope this helps
Step-by-step explanation:
Can Someone Help Me Pleaseee. ?
write the sentence as an inequality.
a number k is more than -7 and less than -1.
Answer:
-7<k<-1
Step-by-step explanation:
k is greater than negative seven, and
-1 is greater than k
Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
3, 1, 5, 4, 8,6
Answer:
4.5 is the mean/average
Step-by-step explanation:
3+1+5+4+8+6=27
27 divided by 6 = 4.5
What is the slope of the line that passes through the points (-5, -7)(−5,−7) and (4, -1) (4,−1)
Answer:
2/3
Step-by-step explanation:
REmember that the slope of a line is y/x. To find this, we must use the formula:
y2-y1/x2-x1=y/x
So this is -1 - -7/4- -5. The -1 -- 7 is actually -1+7. This is 6, meaning y equals 6.
The x is 4 - - 5 is actually 4+5. This is 9, meaning x is equal to 9.
We can now write this as y/x. This would be 6/9.
Once we simplfy this, we get 2/3.
Answer:
2/3
Will choose branliest
option three I’m so sorry if I’m wrong :heart:
What is the median of the data set?
3,3,5,5,5,7,7,8,15,15
Answer:
(5+7)/2 = 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
median is the middle number, or in this case the sum of the middle number divided by 2
5 + 7 = 12/2
6
Directions: Graph each function using a table of Graph each values, then identify its key characteristics.
1
4. y=(1/2)x
Growth / Decay
»-(
Domain:
Range:
j-intercept:
Asymptote:
Answer:
Step-by-step explanation:
Given function is,
[tex]y=(\frac{1}{2})^x[/tex]
In the given exponential function,
Base of the function = [tex]\frac{1}{2}[/tex]
By the property of an exponential function,
1). If the base is between 0 and 1, function will be a growth function.
2). If the base is greater than 1, function will be a decay function.
Therefore, given function is a decay function.
Input-output table,
x -2 -1 0 1 2
y [tex](\frac{1}{2})^{-2}=4[/tex] [tex](\frac{1}{2})^{-1}=2[/tex] [tex](\frac{1}{2})^{0}=1[/tex] [tex](\frac{1}{2})^1=\frac{1}{2}[/tex] [tex](\frac{1}{2})^2=\frac{1}{4}[/tex]
By plotting these points we can get the graph of the function.
Domain: (-∞, ∞)
Range: (0, ∞)
y-intercept: 1
Asymptote: y = 0
A test is made of H subscript 0 colon space mu space equals space 43 space space v e r s u s space space H subscript 1 colon space mu space greater than space 43. A sample of size n equals 76 is drawn, and the sample mean is 47. The population standard deviation is 25. Compute the value of the test statistic and determine if the H subscript 0 is rejected at the alpha equals 0.05 level.
Answer:
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 43
Given that the mean of the sample = 47
Given that the standard deviation of the Population = 25
Given that the sample size 'n' = 76
Step(ii):-
Null hypothesis:H₀: μ = 43
Alternative Hypothesis: H₁: μ ≠ 43
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }[/tex]
Z = 1.39
Level of significance = 0.05
The critical value = 1.96
Final answer:-
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
1. You had $ 1 million, but then you spent $999 and then $22.222. How much
money do you have left?
ANSWER:
Look at this picture that will explain everything.
Pllllsssss help I’m having trouble
Answer:
that would probably be
Step-by-step explanation:
40
Cameron runs 2.4 miles 3 days a week. How many miles does he run total in one week?
Answer:
5.6
Step-by-step explanation:
2.4 / 3 = x / 7
2.4 x 7 = 16.8
16.8 ÷ 3 = 5.6
Find the surface area of the pyramid.
look at the attachment
Answer:
5x-60 Is the answer .5*x =5x -(5*12)5x - 60.please help I will give brainlist!!
Answer:
Step-by-step explanation:
ax+d>o
that ax+d is greater than o
pls mark me branliest
HELP PLZ!
The Fluffy Lump Cat Toy Company rents a warehouse facility. There
is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of
toys that are stored. If the total cost for this month was $1315, how many boxes
of toys are being stored?
NO LINKS
Answer:
23 boxes of toys are being stored.
Step-by-step explanation:
There is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of toys that are stored
This means that for x boxes of toys stored, the total cost is of:
[tex]C(x) = 1200 + 5x[/tex]
If the total cost for this month was $1315, how many boxes of toys are being stored?
This is [tex]x[/tex] for which [tex]C(x) = 1315[/tex]. So
[tex]C(x) = 1200 + 5x[/tex]
[tex]1315 = 1200 + 5x[/tex]
[tex]5x = 115[/tex]
[tex]x = \frac{115}{5}[/tex]
[tex]x = 23[/tex]
23 boxes of toys are being stored.
Brady started to fill the box shown with some unit cubes.
Enter the total number of unit cubes needed to completely fill the box.Include the unit cubes already shown in your total.
Answer:
210
Step-by-step explanation:
Step 1: 6 rows and 6 columns each side so 6*6=36
Step 2: we have 6 sides so 36*6=216 cubes
Step 3: substract 6 cubes from the total since each row and column shares the same cube 216-6=210 cubes
The total number of unit cubes is A = 210 cubes and volume is V = 216 units³
What is the Volume of a Rectangle?The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the height of the rectangle be = 6 units
Let the length of the rectangle be = 5 units
And , let the width be = 7 units
So , Volume of Rectangle = Length x Width x Height
V = 6 x 5 x 7
V = 210 units³
Hence , the number of unit cubes is A = 210
To learn more about volume of rectangle click :
https://brainly.com/question/25422723
#SPJ2
Which shape is a parallelogram?
I’ll mark you if you give the right answer!!
Answer:
The rectangle is a parallelogram.
Step-by-step explanation:
Parallelograms are shapes with two pairs of parallel sides.
The rectangle is the only shape that meets those requirements.
Find the perimeter and area of the rectangle.
20 ft
7 ft
The perimeter is
ft and the area is
Answer:
Area is 140 ft2
perimeter is 54 ft
Answer:
54 and 140
Step-by-step explanation:
If the lengths are 20ft and 7ft, then you can just add 20+20+7+7, which equals 54.
The area is 140, because if you multiply 20 by 7, thn you get 140.
Hope that this helps!
Hi good morning just need help this is just a warmup not a test or anything like that.
Answer:
75.2in = 191.008cm
Answer:
191.008cm
Step-by-step explanation:
75.2 inches =191.008cm
what is 1/3 out of 18 pieces
Answer:
6
Step-by-step explanation: :)
what would been the volume?
Answer:
960 cm²
Step-by-step explanation:
Volume = height x length x width
Volume = 16 x 12 x 10
Volume = 1920 cm²
Since this prism is half
Volume = 1/2 ( 1920)
Volume = 960 cm²
