Answer:
Here we have four individual events.
First selection, second selection, third selection and fourth selection.
Where initially, the options are 16 Americans and 13 Canadians.
Now, to see if the events are dependent or independent.
Suppose that in the first selection, an American is selected.
Then the second selection has 15 Americans and 13 Canadians as options.
Now, if in the first selection, a Canadian is selected.
Then in the second selection, the options will be 16 Americans and 12 Canadians.
Then the events are not independent.
Now we want to find the probability of randomly selecting a four-person committee consisting entirely of Canadians from a pool of 16 Americans and 13 Canadians
The probability of randomly selecting a Canadian is equal to the quotient between the number of Canadians, and the total number of postulants.
For the first selection, we have 13 Canadians, and 29 people in total, then the probability is:
P1 = 13/29.
Suppose that a Canadian is selected, now there are 12 Canadians and 28 people in total, then the probability for the second selection is:
P2 = 12/28
with the same reasoning as above, the probabilities for the third and fourth selections will be:
P3 = 11/27
P4 = 10/26.
The joint probability will be equal to the product of the individual probabilities, this is:
P = P1*P2*P3*P4 = (13/29)*(12/28)*(11/27)*(10/26) = 0.03
Mr. Grove cut down in tree in his yard. He gave 1/3 of the tree to his neighbor and 1/6 of the tree to his brother. Mr. Grove kept the remaining portion. How much tree did he keep?
A. 1/3
B. 2/3
C. 1/2
D. 5/6
Answer:
1/2 or C
Step-by-step explanation:
1/3 = 2/6. 2/6 + 1/6 = 3/6. that leaves 1/2 left over
Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)
Answer:
A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Step-by-step explanation:
Given:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Required:
Find an equivalent polynomial
Solution:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Using distributive property of multiplication
2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)
-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸
There are no like terms to add or combine, therefore:
(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Answer:
-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8
Step-by-step explanation:
I took the test
A plane flies with a speed of 600 mph. What distance will it fly
in 3 /5 hours,11/12 hours, 4/15 hours?
Answer:
3/5=360 mph 11/12=550 4/15=160
Step-by-step explanation:
This equation was solved incorrectly.
6x – 2(4x – 6) = 16
6x + 8x – 12 = 16
14x – 12 = 16
Step 1:
Step 2:
Step 3:
Step 4:
14x = 28
x=2
Which step contains the first error? Explain the error.
Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?
Please help me with all, I will mark brainliest as long as u tell me how u got those answers
A painter uses 1.2 liters of the paint to cover 1m2 of the wall.
How many square meters he can cover with 6.6 liters of paint?
12)/1.2=120/12=10m^2
4.8/1.2=48/12=4m^2
6.6/1.2=66/12=11/2=5.5m^2
this is another way you can do it
1. 12/1.2 times as much paint, so 12/1.2 times as much area.
2. 6.6/1.2 times as much paint, so 6.6/1.2 times as much area.
3. 4.8/1.2 times as much paint, so 4.8/1.2 times as much area.
A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets will cost $12 and the volunteer has $75 total to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality. Show your work to justify your answer.
Answer:
6.3
Step-by-step explanation:
10 blankets with an unidentified price plus 12 for shipping is equal to 75
10x+12=75
minus 12 from both sides
10x=63
divide 10 from both sides
x=6.3
Now, let's prove the answer is true.
10x+12=75
Replace x with 6.3
10(6.3)+12=75
10 times 6.3
63+12=75
75=75
The statement is true.
If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?
4. The binomial 12x+15 is equivalent to
(1) 2(6x +15)
(3) 6(6x+9)
(2) 5(12x+3)
(4) 3(4x+5)
In the equation
2
3
x
=
10
, what is the value of x?
Answer:
23/10 or 15
Step-by-step explanation:
Susie has 26 baskets of apples. Each basket can hold 12 apples. Can Susie fit all her apples in her baskets?
Answer: Yes, Susie can fit all her apples in her baskets.
Step-by-step explanation: If she has 26 baskets filled of apples and can hold 12 apples each, then she can fill 2 baskets with apples and have a remainder of 2 apples left.
Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.
Answer:
The product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Step-by-step explanation:
Matrix multiplication
To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.
If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).
Matrix A has two rows and three columns (2x3)
Matric C has three rows and two columns (3x2)
If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.
Since both numbers are 2, the product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Reduce the answer to lowest terms 4/5 divided 16/15
Answer:
3/4
Step-by-step explanation:
4/5 divided by 16/15 = 4/5 x 15/16
Simplfied = 1 x 3 / 1 x 4
Simplified = 3/4
Thus, our answer is 3/4
PLEASE HELP ASAP!!!!
Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answer:
19) slope=2 y-intercept is 1 equation is y=2x+1
20) slope=-4 y-intercept is 4 equation is y=-4x+4
21) slope=-1/3 y-intercept is -5 equation is y=-1/3x-5
22) slope=-2/3 y-intercept is -5 equation is y=-2/3x-5
23) slope=-8 y-intercept is is -4 equation is y=-8x-4
24) slope=5 y-intercept is -3 equation is y=5x-3
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Solve eight and four eighths minus five and five sixths.
(Giving extra points on this one)
A) two and twelve forty eighths
B) two and thirty forty eighths
C) three and one fourteenth
D) three and twelve fourteenths
(Here is an image if needed) :
Answer:
B: 2 32/48
Step-by-step explanation:
8 4/8 - 5 5/6
Turn to fractions:
8 4/8 = 68/8
5 5/6 = 35/6
Common denominator: 24
68 x 3 = 204
8 x 3 = 24
35 x 4 = 140
6 x 4 = 24
Set-up:
204/24 - 140/24
Solve:
64/ 24
Simplifying to Mixed Number:
64/24 = 8/3 = 2 2/3 = 2 32/48
Answer:
b
Step-by-step explanation:
what is 5+5 and then divided by 8
Look at this coordinate plane
Which equation can be used to find the y-coordinate of point B?
y/1=23
y/2=56
y−1/2=4/6
y−1/2=y−5/4
Answer:
Hrmm
Step-by-step explanation:
What is the value of 6a + 2b if a = 1 and b = 2?
Answer:
3a + 2b ; a=1, b =-2
3
(
1
)
+
2
(
−
2
)
(substitute the values of the variables)
From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).
3
+
(
−
4
)
(simplify)
3
−
4
=
−
1
So here, what we've proven is that in our given equation, if
a
=
1
and
b
=
−
2
, then it would yield us a product of
−
1
.
Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.
Try another:
6
a
2
−
b
+
8
with a = 1 and b = 3
6
(
1
)
2
−
(
3
)
+
8
6 - 3 + 8
= 11
Just as a sidenote here, make sure you're aware of the difference between
(
6
x
)
2
and
6
x
2
. The former refers to both the 6 and the
x
being squared, whereas the latter shows only the
x
being squared. Just be careful not to mix the two.
Try one more:
2
c
−
5
3
b
+
4
with b = 2 and c = 4
2
(
4
)
−
5
3
(
2
)
+
4
=
8
−
5
6
+
4
=
3
10
(or 0.3)
Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.
Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
6a + 2b
6(1)+2(2)
6+4
=10
What is the value of x?
Answer:
8
Step-by-step explanation:
You have to set up a proportion for this!
Because ABC and PAQ are similar triangles (same angles and PQ || BC), you can assume that all the equivalent sides are proportional!
If you solve the proportion for x:
[tex]\frac{x}{40} =\frac{7}{35}[/tex]
x = 8
need someone’s help with this please!!!
Answer:
Option 3
Step-by-step explanation:
Since lines a and b are intersecting, x+5=2x-5. Because they are vertical angles.
x+5=2x-5
2x-x=5+5
x=10
you have a bill of $56.40. find a 15% tip?
Answer:
$8.46
Step-by-step explanation:
15%=0.15
56.40(0.15)
8.46
What is the answer for Expanding
2t(6t-3)
Answer:
Step-by-step explanation:
12t2 - 6t
the 200th term of the arithmetic progression 10 97,94,91,.............is
Answer:
-500
Step-by-step explanation:
Given sequence;
97, 94, 91 ......
Unknown;
The 200th term of the sequence;
Solution:
Since we were given an arithmetic progression, we need to first find the common difference;
Common difference = second term - first term
= 94 - 97
= -3
To find the 200th term, we use the expression below;
Sn = a + (n-1)d
a is the first term
n is the nth term
d is the common difference
S₂₀₀ = 97 + (200 - 1 ) x -3 = -500
2.1-?=1 1/2
Please answer this I don’t want to fail
help plsss i really need it
Answer:
can u re-upload the image i cant see it
Step-by-step explanation:
what is tan 11pie divided by 6?
Answer:
1/6 tan(11 π) = 0
Alternate representations:
1/6 tan(11 π) = -1/6 cot((21 π)/2)
1/6 tan(11 π) = -1/6 cot((23 π)/2)
1/6 tan(11 π) = 1/(6 cot(11 π))
Step-by-step explanation:
You can run 10 miles in 80 minutes. How far can you run in 2.5 hours?
Answer:
18.75 miles
Step-by-step explanation:
1 hour = 60 minutes
2.5 Hours = 150 minutes
10 miles _____> 80 minutes
x_______> 150 minutes
x= ( 150 * 10) / 80
= 1500/80
x= 18.75 miles
easy
Answer:
Step-by-step explanation:
10 miles- 80 minutes
?- 150 minutes
1500+80x
X= 10.75 miles
Ashton is depositing money into a checking account. After 3 months there is $120 in the account. After 6 months, there is $240 in the account. Determine the constant rate of change of the account.
The constant rate of change of the account is $40 or Increasing by $40 per month.
Step-by-step explanation:
Consider the provided information.
Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.
Rate of change is known as how one quantity change in relation to other.
The rate of change can be calculated as:
y2-y1/x2-x1
Now use the above formula to calculated the rate of change.
240 - 120/6-3
120/3
40
Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.
hey, I wanted to know if anybody was kind enough to help me solve this! I'm super confused and I just don't know what to do. please help me, it'll mean a lot to me. actually
Answer:
The answer should be B