The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Let's denote students in D = in the drama club , S = in a sports team
P(D) = 70/310
P(S) = 190/310
P(D and S) = 50/310
P(D or S) = P(D) + P(S) - P(D and S)
P(D or S) = 70/310 + 190/310 - 50/310
P(D or S) = 210/310 = 21/31
P(neither D nor S) = 1- 21/31
P(neither D nor S) = 10/31
The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.
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9m + 19 − 14 + 4n Please solve.
Answer:
9m+4n+5
Step-by-step explanation:
9m
19 - 14 = 5
4n
so we can combined the 9m,5,4n to 9m+4n+5
Answer:
9m+4n+5
Step-by-step explanation:
Combine the like terms:
9m+19+-14+4n
=(9m)+(4n)+(19-14)
=9m+4n+5
Which expression is equivalent to 4a+2b
A.a+a+a+a+b+b
B. 4+2+a+b
C.6(a+b)
D.4+a x 2+b
Answer:
Answer is A
Step-by-step explanation:
a+a+a+a+b+b =4a+2b
four thousand three hundred twenty-one ten thousandths as a decimal
Answer:
.4321
Step-by-step explanation:
move the decimal to the left four times
We want to write four thousand three hundred twenty-one ten thousandths as a decimal.
The number is:
4321.010
To do it, we need to understand what each place value represents, where the place values are the place of each digit in reference to the decimal point.
The first digit at the left of the decimal point represents the units.The second digit at the left of the decimal point represents the tens.The third digit at the left of the decimal point represents the hundreds.The fourth digit at the left of the decimal point represents the thousands.
And for the right we have:
The first digit at the right of the decimal point represents the tenths.The second digit at the right of the decimal point represents the hundredths.The third represents the thousandths.Of course, it continues in both ways, but this is enough to write our number.
We have:
"four thousand..."
Then the fourth digit at the left is a 4.
"... three hundred..."
The third digit is a 3.
"...twenty-one..."
The second digit is a 2, and the first is a 1.
For the right side, we do not have tenths, so the first digit at the right is a zero.
And "...ten thousandths"
We have a "10" in the second and third digits at the right of the decimal point.
Then our number is:
4321.010
If you want to learn more, you can read:
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3 x 8/4 ?????????????//////
Answer:
6
Step-by-step explanation:
8/4 = 2 so 3*2=6
Which of the following is a pair of like terms? *
O 3x and y
2a and -4b
-9y and 7y
8 and 10y
Answer:
-9y and 7y are a pair of like terms.
Step-by-step explanation:
Like terms are the terms which have same variable and power. The coefficient is not necessary to be same.
(Help please) Find both the perimeter and the area of the following rectangle
2x+3
X+6
Perimeter:_____
Area:____
Given:
Length of a rectangle = (2x+3) units
Width of the rectangle = (x+6) units
To find:
The perimeter and the area of the rectangle.
Solution:
We know that, the perimeter of the rectangle is
[tex]Perimeter=2(Length+Width)[/tex]
[tex]Perimeter=2((2x+3)+(x+6))[/tex]
[tex]Perimeter=2(3x+9)[/tex]
[tex]Perimeter=6x+18[/tex]
The area of rectangle is
[tex]Area=Length\times width[/tex]
[tex]Area=(2x+3)\times (x+6)[/tex]
[tex]Area=2x^2+12x+3x+18[/tex]
[tex]Area=2x^2+15x+18[/tex]
Therefore, [tex]Perimeter=6x+18[/tex] and [tex]Area=2x^2+15x+18[/tex].
Help me with this pls 10 points
Answer:
48
Step-by-step explanation:
Add 84+48 to get 132. subtract 180 the total to the 132 to get 48.
Answer:
its not 10 points its says 8
Step-by-step explanation:
A population of rabbits doubles every 4 months. If the population starts out with 8 rabbits how many will there be in 1 year
Given:
The initial population of rabbit = 8
Population of rabbits doubles every 4 months.
To find:
The number of population in 1 year.
Solution:
The exponential growth model is
[tex]y=a(b)^x[/tex] ...(i)
Where, a is the initial population, b is growth factor, x is time period.
We know that,
12 month = 1 year
So, there are 3 time period of 4 months in an year.
Initial population of rabbit (a) = 8
Population of rabbits doubles every 4 months. So, growth factor is 2, i.e., b=2 and the time period is 3, i.e., x=3.
Putting a=8, b=2, x=3 in (i), we get
[tex]y=8(2)^3[/tex]
[tex]y=8(8)[/tex]
[tex]y=64[/tex]
Therefore, the population of rabbit in 1 year will be 64.
find the measure of angle STP
Can someone give me the answer and explanation
Answer: A
Step-by-step explanation:
The total minus the cost of the eggs leaves you with just the total of the potatoes. Since we know that the total of the potatoes is the product of 5 bags, we can divide the total of the potatoes by 5 to find the cost of each bag of potatoes.
What is 305.5 divided by 1/100?
Answer:
305.5 divided by 1/100= 3.055
What is the measure of DC?? Show work..
Answer:
I have no idea , but it is a obtuse / 190 degree angle
Hmmm.... i think its 180 OR 185
Step-by-step explanation:
WILL MARK BRAINLIEST IF RIGHT DONT ANSWER IF U DONT KNOWWWW
Answer:
ASA
Step-by-step explanation:
Angles WXV and ZXY were proven congruent.
Angles W and Y were proven congruent.
Sides WX and XY were proven congruent.
pls help i don’t understand!
You may need to input the number only without the "degrees".
=============================================================
Explanation:
First we'll focus on triangle DEH. Ignore the other points and values.
We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.
cos(angle) = adjacent/hypotenuse
cos(H) = EH/DH
cos(x) = 32/49
x = arccos(32/49)
x = 49.227195
The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.
We'll come back to this value later.
---------------------
Now focus on triangle HFG. Ignore the other points.
We have the sides of FG = 38 and GH = 43
Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.
To find y, we'll need the sine rule this time
sin(angle) = opposite/hypotenuse
sin(H) = FG/GH
sin(y) = 38/43
y = arcsin(38/43)
y = 62.094527 which is approximate to 6 decimal places
---------------------
The last step is to add the values of x and y we found earlier
angle DHG = (angle DHE) + (angle FHG)
angle DHG = (x) + (y)
angle DHG = (49.227195) + (62.094527)
angle DHG = 111.321722
angle DHG = 111 degrees after rounding to the nearest whole degree.
----------------------
If you wanted to do this all in one step, you could say:
arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.
please help me !!! i'll give brainliest
Answer:
a. root (x^2 + 64)
Step-by-step explanation:
(8^2 + x^2) = y^2
If you root both sides,
y = root (x^2 + 64)
In the triangle below, m ∠ 1 = 39 ° and m ∠ 4 = 85 ° . What is m ∠ 2 ?
Answer:
one sec
Step-by-step explanation:
HELP!!!
...................
Answer:
Step-by-step explanation:
b
6x - 2x = 16 + 8
4x = 24
x = 6
2
12p^7
I want to take the measurements of my 5 avocado trees and order their
heights from shortest to tallest, that way they can get enough sunlight to
continue growing. I have to worry about sea level, so those above sea
level get sunlight more easily (positive is above sea level, negative is
below sea level). The 5 heights are in feet: 6,-3, 2,-8,-6. Please help me
order them from shortest to tallest so I plant them in the right order to get
enough sunlight.
Answer:
If we are saying everyhing above sea level is taller then plants under sea level. Then here is the order
Step-by-step explanation:
-8, -6, -3, 2, 6
And just in case it's above sea level the shortest then 6, 2, -3, -6, -8
9 1/4 - 4 5/6
please answer and i answer for u
Answer:
the answer is 4
Step-by-step explanation:
Pls help I gat no idea on what the answer is
Answer:
the answer is A
Step-by-step explanation:
hope it helped
Brookwood High school is considering adding co-ed soccer to the game sports program for the fall season m In order to get an unbiased sample of interest in soccer, who should the school survey
Answer:
hmm
Step-by-step explanation:
What is 15% of a restaurant check for $46.72? Round your answer to the nearest hundredth, if necessary.
Answer:
$7.01
Step-by-step explanation:
46.72 * 0.15 = 7.008
2
A cell phone tower is the
shape of a rectangular
pyramid. The base has
dimensions of 12 ft by 16 ft.
The tower takes up 1152 cubic
feet of space. How many feet
tall is the tower?
Will give brainliest! Given the 3 lengths of a triangle are 6 in, 8 in, and 11 in. A) Will this make a triangle? B) Will it be a right triangle?
Answer:
yes and no
Step-by-step explanation:
l
The scale of a map is 1 cm: 75 km. What is the actual distance between two towns that are 4 cm apart on the map?
Answer:
300
Step-by-step explanation:
(75*4)/1
Find the total surface area of this cuboid 4cm 2cm 5cm
Answer:
76cm²
Step-by-step explanation:
SA=2lw+2lh+2hw
length=4cm
width=2cm
height=5cm
= 2(4×2+4×5+5×2)
=8+20+10
=2×38
=76cm²
lillian works 7 hours each day for 5 days a week. she earns £420 each week. how much does she earn per hour?
need ASAP I will mark beainlist for correct t answer
Answer:
Lillian gets paid $12 an hour.
Step-by-step explanation:
I multiplied 7 times 5, which gives you 35. The you divide 420 by 35, which then gives you 12 dollars
26 + 59 + y = ??? Help pls
Answer:
85 + y is the answer
Step-by-step explanation:
(85+y)
hmm i sure do ask a lot of questions
Answer:
A bc it show that it travels 25 miles to the hour.
In other words Miles per hour= 25 to 1 hour
Step-by-step explanation:
Hope this helps :)
Help plssssss it due today
Answer:
C
Step-by-step explanation: