what is the area of the object above
Answer:
104 in²
Step-by-step explanation:
look at the picture above... by splitting the figure, we get two rectangles.
a1= 5×4 = 20in²
a2= 12×7= 84 in²
total area = a1+a2 = 20+84=104in²
There are two openings at a programming company and 40 people apply. How many different ways can those two positions be filled?
Using the combination formula, it is found that these two positions can be filled in 780 ways.
The order in which the positions are filled is not important, for example, João and Elisa is the same outcome as Elisa and João, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, two people are taken from a set of 40, hence the number of ways is given by:
[tex]C_{40,2} = \frac{40!}{2!38!} = 780[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1
Factorize
x
[tex]x ^{3} - 3x - 2 [/tex]
[tex]x ^{3} - 3x - 2 [/tex]
x³-2x²+2x²-3x-2
x²(x-2)+2x²-4x+1x-2
x²(x-2)+2x(x-2)+1(x-2)
(x-2)(x²+2x+1)
(x-2)(x+1)(x+1)is a required answer.
Which is smaller 2.5 or.5?
Find the missing side
Answer:
Step-by-step explanation:
c^2 = a^2 - b^2
13^2 - 5^2 = -12
Answer:
Step-by-step explanation:
use pascal's triangle to expand the following binomial expression
1.(2k-1/3)⁶
9514 1404 393
Answer:
64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
Step-by-step explanation:
The row of Pascal's triangle we need for a 6th power expansion is ...
1, 6, 15, 20, 15, 6, 1
These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.
Your expansion is ...
1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...
15(2k)^2(-1/3)^4 +6(2k)^1(-1/3)^5 +1(2k)^0(-1/3)^6
= 64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
This figure shows the dimensions of the tent Anderson wants to
buy
What is the volume of the tent?
131
Enter your answer in the box
V=__
Answer:
131
Step-by-step explanation:TRUST ME IT IS RIGHT
In the given polygon, AC= 5x - 24, AO= 3. Find x. NO LINKS!!!
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
5x - 24 = 3 * 2
5x - 24 = 6
5x = 30
x = 6
Answer:
Solution given:
AC= 5x - 24, AO= 3.
now
since diagonal bisect each other So,
AC=2 AO
5x-24=2(3)
5x=6+24
x=30/5
x=6
help me please thank you
i cant see your photo
Step-by-step explanation:
If the pre-image (4,-3) is translated <-6,-8> the image will be located at: (?,?)
Answer:
(-2, - 11)
Step-by-step explanation:
Coordinate of preimage = (4, - 3)
Pre image is translated <-6,-8>
X - coordinate of preimage = 4
Translation, x coordinate + (-6)
Y - coordinate of preimage = - 3
Translation, x coordinate + (-8)
Image will be located at (4+(-6) ; - 3+(-8))
Hence, we have (-2, - 11)
9 – 3 (2+6)÷6 -2 × 5? step by step please
. A section of rope 5 inches long represents 20% of the length of the entire rope. How long is the rope?
Answer:
full length = 25 in.
Step-by-step explanation: .
20% is 1/5 of 100% so in order to find 100% of the length, multiply 5in (20%) by 5 to get to the 100% which will give you 25in.
Can someone please help?
Answer:
The one all the way to the right
Step-by-step explanation:
30 ÷ X = 6
30 ÷ 5 = 6
Each week, the price of oranges at the farmer's market increases by 20%.
The price of oranges this week is $4.50.
What was the price last week?
Will give brainliest to correct answer.
The price of orange last week was $3.75
An equation is used to show the relationship between two or more numbers and variables.
The price of oranges increases by 20% each week.
The price of oranges this week is $4.50. Hence:
Price of orange last week (x) is given by:
4.5 = x + 20% of x
4.5 = x + 0.2x
1.2x = 4.5
x = 3.75
The price of orange last week was $3.75
Find out more on equation at: https://brainly.com/question/24868934
A $550 T.V is discounted by 30%. It is then discounted another 10%
Answer:
346.50
Step-by-step explanation:
550 discounted by 30% is 385.00.
385.00 discounted by 10% is 346.50
QUICK PLEASE HELP!!
I WILL MARK BRAINLIEST!!!
help me pleaseeeeeeeeeeeeeeeeeeeee
Answer:
3 X 1/2
Step-by-step explanation:
I started by eliminating C and B because of adding and subtraction in the problem.
Answer:
3 x 1/2
Step-by-step explanation:
there are 3 groups of 1/2
The width of a rectangle is 3 units less than the length. The area of the rectangle is 4 Units What is the length, in units, of the rectangle?
Answer: 4 units
Step-by-step explanation: IT cant be 2x2 or else it would be a square
so it would have to be that the width is 1 unit and the lenght is 4 units.
What is the volume of this triangular prism
9514 1404 393
Answer:
153.6 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh . . . . . . where B is the area of the base, and h is the height
The area of the triangular base is given by the formula ...
A = 1/2bh . . . . where b and h are the base and height of the triangle
For a right triangle, the lengths of the legs can be used for the base and height.
The base area is ...
A = (1/2)(6 mm)(8 mm) = 24 mm²
Then the volume is ...
V = (24 mm²)(6.4 mm) = 153.6 mm³
Evaluate the expression (2x + 5)2 -3x at the value x = -1
Answer:
2
Step-by-step explanation:
Round your answer to the nearest hundredth.
BC=
Answer:
0.95
Step-by-step explanation:
tan35° = x/2
solve for x
x = 2tan35°
x = 0.947629
round to nearest hundredth
x = 0.95
Which of the following equations represents a proportional relationship?
6/9 = 24/32
8/3 = 36/14
3/2 = 15/12
4/8 = 15/30
Need help!!!!!!!!!!!!!!!!
Answer:
x=35
y=72.5
Step-by-step explanation:
Answer:
x=35 , y=72.5
Step-by-step explanation:
I'm not amazing at explaining but x is obviously 35 as its across from it and looks like it's the same angle, we'll be able to test this when we figure out y. Both of the y values are the same number so you just need to figure out
2y + 35 = 180
Minus 35 from both sides
2y = 145
Then we can divide 2 from both sides
y = 72.5
Then we test for x
2y + x = 180
Plug in y
145 + x = 180
Minus 145 from both sides
x= 35
There's your answer! I hope I cleared up any confusion
Which expresion does NOT equal the length of one of these pieces in feet. Plz help me i really need it.
Answer: J
Step-by-step explanation:
J is the expression we would use to find "nine divided by five"
Whatever is inside the little box-looking thing (not sure how to describe it) is being divided by the number on the outside of the box-looking thing.
this has a question in it plus it is beneficial and helps my friends be able to ask questions therefore you can not remove it. :)
Answer: 5/27
Step-by-step explanation:
1/9 + 2/27 = ?
1. Find the LCD (Least Common Denominator )
LCD: 27
2.Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD.
(1/9 x 3/3) + (2/27 + 1/1) =
3. Solve
3/ 27 + 2/27 =5/27
Hence, the answer is 5/27
Can u help me and if u don’t know don’t answer
Answer:
a. The scale factor from Drawing 1 to Drawing 2 is 40%
b. The length of the bottom side of Drawing 2 is 7.8 cm
Step-by-step explanation:
5.2 / 13 = 26 / 65 = 2 / 5 = 4 / 10 = 0.4 = 40%
19.5 / 2.5 = 39 / 5 = 78 / 10 = 7.8
log x + log (x + 9) = 1
Answer:
x = 1
Step-by-step explanation:
Mark as brainllest
What kind of triangle would angels of 24, 52 and 104 degrees?
Answer:
There are 180 degrees in the 3 angles of a triangle.
Step-by-step explanation:
(5p^3 - 3) +(2p^2-3p^3)=
Answer:
4p^3-3 jejeieooejejenjekeoeoeo
he wait time (after a scheduled arrival time) in minutes for a train to arrive is Uniformly distributed over the interval [0,15]. You observe the wait time for the next 95 trains to arrive. Assume wait times are independent. Part a) What is the approximate probability (to 2 decimal places) that the sum of the 95 wait times you observed is between 670 and 796
Answer:
81.74% probability that the sum of the 95 wait times you observed is between 670 and 796
Step-by-step explanation:
To solve this question, the uniform probability distribution and the normal probability distribution must be understood.
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The distribution has two bounds, a and b.
Its mean is given by:
[tex]M = \frac{b - a}{2}[/tex]
Its standard deviation is given by:
[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]
Normal distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n instances of the uniform distribution can be approximated to the normal with [tex]\mu = nM[/tex], [tex]\sigma = S\sqrt{n}[/tex]
Uniformly distributed over the interval [0,15].
This means that:
[tex]M = \frac{15 - 0}{2} = 7.5[/tex]
[tex]S = \sqrt{\frac{(15-0)^2}{12}} = 4.33[/tex]
95 trains
[tex]n = 95[/tex], so:
[tex]\mu = 95M = 95*7.5 = 712.5[/tex]
[tex]\sigma = S\sqrt{n} = 4.33\sqrt{95} = 42.2[/tex]
What is the approximate probability (to 2 decimal places) that the sum of the 95 wait times you observed is between 670 and 796?
This is the pvalue of Z when X = 796 subtracted by the pvalue of Z when X = 670. So
X = 796
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{796 - 712.5}{42.2}[/tex]
[tex]Z = 1.98[/tex]
[tex]Z = 1.98[/tex] has a pvalue of 0.9761
X = 670
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{670 - 712.5}{42.2}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.9761 - 0.1587 = 0.8174
81.74% probability that the sum of the 95 wait times you observed is between 670 and 796