Answer:
5/9
Step-by-step explanation:
Number of accountants = 20
Number of economists = 12
Number of secretaries = 4
Total number of Staffs = 20 + 12 + 4 = 36 staffs
Probability = required outcome / Total possible outcomes
Required outcome = number of accountants
Total possible outcomes = total number of staffs
P(selecting an economist) = 20 / 36 = 5 / 9
The probability that the staff is an accountant is 5/9.
Given
A company staff consists of 20 accountants, 12 economists and 4 secretaries. a staff is chosen at random.
Probability;Probability is defined as the number of observations and total number of observation.
Total number of Staffs = 20 + 12 + 4 = 36 staffs.
The following formula is used to determine the probability;
[tex]\rm Probability=\dfrac{Accountant \ staff}{Total \ number \ of \ staff}[/tex]
Substitute all the values in the formula;
[tex]\rm Probability=\dfrac{Accountant \ staff}{Total \ number \ of \ staff}\\\\\rm Probability=\dfrac{20}{36}\\\\\rm Probability=\dfrac{5}{9}[/tex]
Hence, the probability that the staff is an accountant is 5/9.
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A number of days, d, of sunshine is not 28.
Answer:
D<28
Step-by-step explanation:
The required inequality for the given situation can be, d > 28 or d < 28
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, write an inequality for the situation.
Situation :-
A number of days, d, of sunshine is not 28.
Here, the number of days is said to be not equal to 28, we are not given if is less or more,
It can be less or more than 28 but not 28
So, here we get two situations,
Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.
If we write these situations, mathematically, the inequalities we will have, are :-
1) The number of days, d, of sunshine is less than 28 :-
d < 28
2) The number of days, d, of sunshine is more than 28 :-
d > 28
Therefore, the two inequalities, are :- d < 28 or d > 28
Hence, the required inequality for the given situation can be, d > 28 or d < 28
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The complete question is :-
Write an inequality for the situation.
A number of days, d, of sunshine is not 28 .
Which describes the difference between the two sequences?
First Sequence: 3, 6, 9, 12, ...
Second Sequence: 3, 12, 48, 192, ...
The first sequence is geometric because there is a common difference of 3. The second sequence is arithmetic
because there is a common ratio of 4.
O The first sequence is arithmetic because there is a common difference of 3. The second sequence is geometric
because there is a common ratio of 4.
The first sequence is arithmetic because there is a common ratio of 3.
The second sequence is geometric because there is a common difference of 4.
O The first sequence is arithmetic because there is a common difference of 4. The second sequence is geometric
because there is a common ratio of 3.
Answer:
the sequence is geometric sequence with common ratio (-2).
Option : D is correct.
Step-by-step explanation:
In this question table is given as
n 1 2 3 4 5
f(n) 48 -96 192 -385 768
We have to find out if the sequence is arithmetic or geometric.
For Arithmetic sequence :
Difference should be common in each term of fees.
common difference = f(2) - f(1)
= -96 -48 = -144
similarly = f(3) - f (2) = 192 + 96 = 288
Here, ≠ so the sequence is not an arithmetic sequence.
For Geometric sequence :
Ratio should be common in each term of f(n)
Common ratio =
Therefore, the sequence is geometric sequence with common ratio (-2).
Option : D is correct.
You eat 11 grams of cereal each day. If you eat the same amount of cereal each day, how many grams of cereal will you eat in 5 days?
Answer:
55 grams
Step-by-step explanation:
11×5=55 grams
if its the same amount everyday then 55
(it made me type more)
Answer:55
Step-by-step explanation: 11x5
Write two expressions that are equivalent to 3 . 10^-6
Answer:
636372
Step-by-step explanation:
the answer is 636372
An amusement park thrill ride swings its riders back and forth on a pendulum that spins. Suppose the swing arm of the ride is 62 feet in length, and the axis from which the arm swings is about 64 feet above the ground. What is the height of the riders above the ground at the peak of the arc? Round to the nearest foot if necessar
PLEASE HELP
Answer:
118ft
Step-by-step explanation:
dont ask how i got it i just got the answer from my teacher but they didnt show me the work. ur welcome
the expression 8+2t can be used to find the total cost of admission and t amusement rides at a country fair. what statement is true?
the anwser is going to be A
PLEASE HELP ME I NEED HELP FAST
6.
At its first stop a bus picked up 10
people. At the next stop, 8 people got
on and 3 people got off. At the third
stop, 5 people got on and 12 people
got off. How many passengers were
then on the bus?
Answer:
8
Step-by-step explanation:
10+8-3+5-12=
Can someone help please
Answer:
M=13
Step-by-step explanation:
Take the average of the two numbers:
(0+26)/2=13
The figure shows a tank in the form of a rectangular prism that is 25% full of water. How many more gallons of water will it take to fill the tank? (1 gallon 231 in.)
Answer:
if it is one gallon then it will take 75 more percent
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Solve the following system of equations using elimination
Answer:
Well elimination is basically multiplying a number to make it possible for it to cancel out
We can multiply the first equation by 2
2(x+2y=-1)
This would be
2x+4y=-2
Its still the same thing but just with non simplified numbers
We can now do any method really to solve
I will just do the subtraction method
2x+4y=-2
-2x+y=4
Solve
2x-2x=0
4y-y= 3y
-2-4= -6
3y= -6
Now solve
y=-2
To find x subsitute in “y” and find ”x”.
x+2*-2=-1
x-4=-1
x=3
y= -2
x= 3
How many days in April
Answer:
There are 30 days according to the Georgian calender of the month of april.
Step-by-step explanation:
Determine the next term in the geometric sequence below.
-1, -2, -4, ...
-7
-10
-8
-6
Answer:
-8
Step-by-step explanation:
The rule for the sequence is ×2
E.g.
-1×2=-2
-2×2=-4
-4×2=-8
Answer:
-8 is the correct answer according to the sequence's rule.
need help please.........
Answer:
Yes. it is 5. bc u need to trust me
A regular heptagon is shown below. What is the value of x?
Answer:
108+x=180
X=180-108
X=72
The value of the exterior angle (x) in a regular heptagon is approximately 51.43 degrees.
Given is a regular heptagon with one of the exterior angle be x we need to find the value of x
To find the value of the exterior angle of a regular heptagon, we can use the formula:
Exterior Angle = 360 degrees / Number of Sides
In this case, the heptagon has seven sides, so we can substitute the values into the formula:
Exterior Angle = 360 degrees / 7
Exterior Angle ≈ 51.43 degrees
Therefore, the value of the exterior angle (x) in a regular heptagon is approximately 51.43 degrees.
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Use these functions to answer this question.
P(x) = x2
– x – 6
Q(x) = x – 3
What is P(x) – Q(x)?
A. x2
– 3
B. x2
– 9
C. x2
– 2x – 3
D. x2
– 2x – 9
no linkss,,,,
Given:
The two functions are:
[tex]P(x)=x^2-x-6[/tex]
[tex]Q(x)=x-3[/tex]
To find:
The function [tex]P(x)-Q(x)[/tex].
Solution:
We need to find the function [tex]P(x)-Q(x)[/tex].
[tex]P(x)-Q(x)=(x^2-x-6)-(x-3)[/tex]
[tex]P(x)-Q(x)=x^2-x-6-x+3[/tex]
[tex]P(x)-Q(x)=x^2+(-x-x)+(-6+3)[/tex]
[tex]P(x)-Q(x)=x^2-2x-3[/tex]
Therefore, the correct option is C.
The speed of a garden snail is about 8.5×10−6 miles per second. If a garden snail moves at this speed in a straight line for 2×103 seconds, how far would the snail travel in standard notation and scientific notation.
Answer:
17*10^-3 miles
Step-by-step explanation:
Given data
Speed= 8.5×10^−6 miles per second
Time taken=2×10^3 seconds
We know that the expression for the speed is given as
speed= distance/time
distance= speed* time
substitute
distance= 8.5×10^−6* 2×10^3
distance= 8.5*2*(10^-6+3)
distance= 17*10^-3 miles
IM GIVING BRAINLIEST!!PLEASE HELP!!
Answer: c
Step-by-step explanation:
There are 96 children in a room.
40 of them are girls.
Find the fraction of the children that are boys.
Write your answer in its simplest form.
I will need it by this midnight
Answer:
7/12
Step-by-step explanation:
Basically to find the boys fraction I subtracted 40 from 96 and got 56. Your answer for the number of boys would be 56/96. I divided 4 from each and got 14/24. lastly I divide by 2 and got 7/12.
Someone help me with this
Answer:
the error is ( 4-17) is equal -13 not 13
so if she used - 13 the right answer is 17/34
Step-by-step explanation:
see attached
hope it helps
What is the measure of ∠DBE?
Answer:
63 degree
Step-by-step explanation:
which angle pair represents corresponding angles?
options on picture
Answer: b
Step-by-step : not needed
You have an annual salary of $47,334. Your monthly expenses include a $1,115 mortgage payment, a $336 car lease payment, $112 in minimum credit card payments, and a $108 payment on your student loan. Calculate your DTI (debt-to-income) ratio as a PERCENTAGE (no % symbol needed).
Answer:
DTI ratio in percentage = 42.36
Step-by-step explanation:
Annual salary = $47334
This means that gross monthly pay = 47334/12 = $3944.5
Now,
Total monthly debt payments = 1115 + 336 + 112 + 108 = $1671
Debt to income ratio = (1671/3944.5) × 100% = 42.36%
Since we are told not to put the % symbol, then answer is 42.36
Best Buy decreased the cost of a Sony flat screen monitor from $525 to $430. What is the percent
of decrease?
A company is designing a new cylindrical water bottle the volume of the bottle by 204 cm the height of the water bottles 8.9 cm3 what is the radius of a water bottle use 3.14 for pie
Answer:
2.70cm
Step-by-step explanation:
Given data
Answer:
2cm
Step-by-step explanation:
Given data
Capacity/volume= 204 cm
Height= 8.9 cm
Required
The radius r
let us apply the expression for the volume of a cylinder
V=πr^2h
204=πr^2*8.9
204=3.14r^2*8.9
r^2= 204/27.946
r^2=7.30
r= √7.30
r=2.70cm
Hence the radius is 2.70cm
evaluate each of the following
205 x 195
Answer:
39,975
Step-by-step explanation:
There u go
Answer:
39,975
Step-by-step explanation:
Caculater
plz help 5x + 2 = x – 10
Answer:
x= -3
Step-by-step explanation:
5x + 2 = x - 10
4x + 2 = -10
4× = 10 - 2
4x = -12
x= -3
Please help me with this questions please please ASAP ASAP please ASAP help please please ASAP please I'm begging you please please ASAP
Answer:
32
Step-by-step explanation:
The shapes are the same except for the direction so i think it would be 32
Answer:
32°
Step-by-step explanation:
quadrilateral ABCD is similar to quadrilateral WXYZ
Corresponding angles of similar polygons are congruent. We are told the two quadrilaterals are similar, so the pairs of corresponding angles are congruent.
You know angles are corresponding according to the statement of similarity is written.
quadrilateral ABCD is similar to quadrilateral WXYZ
The vertices are listed in the same order in both polygons showing which angles are corresponding.
<A corresponds to <W
m<W = m<A = 32°
Answer: 32°
Find the radius of a cone with a volume of 196 x 3.14 mm and a height of 12 mm.
Answer:
r=7 my
answer needs to be 20 characters long
How to write the equation for ¨The quotient of x and three increased by 12 is 20. What is x?
Answer:
x/3 + 12 = 20
Step-by-step explanation: