Answer:
solution given:
: 4x2+8x+7=4
4x²+8x+7-4=0
4x³+8x+3=0
4x²+6x+2x+3=0
2x(2x+3)+1(2x+3)=0
(2x+3)(2x+1)=0
either
x=-3/2
or
x=-1/2
Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work part time and 80 employees who work 5 days each week. What is the probability that a randomly selected employee works both part time and 5 days each week?
Answer: 0.02
Step-by-step explanation:
OpenStudy (judygreeneyes):
Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is
P(A U B) = P(A) +P(B) - P(A and B).
The problem has given us each of these pieces except the intersection, so we can solve for it,
If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.
I hope this helps you.
Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8
Answer:
The probability that a randomly selected employee works both part time and 5 days each week is 0.02
Step-by-step explanation:
What is probability?
Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.
The total employees =100
Let A= Employees who work part time = 14
and B = Employees who work 5 days each week = 80
Then, A∪B= 92
We have to find, P(A∩B)
P(A∪B)=P(A)+P(B)-P(A∩B)
[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)
0.92=0.14+0.8-P(A∩B)
0.92=0.94-P(A∩B)
P(A∩B)=0.02
Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.
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1. Given the lines shown here, what are two possible equations for this system of equations?
Answer:
i just need help pasing 5th grade can you help by giving me a link so i can get answers to quistions pls
Step-by-step explanation:
please could you tell why one is more sweeter and the steps?
simplify 3^6 X 3 please help i failed the test 3 times (im not that smart lol)
Answer:
2187
Step-by-step explanation:
[tex]3^{6}[/tex] × 3
729 × 3
2187
Answer:
l maooooooo but ill help
its 2187
Step-by-step explanation:
use pemdas ( parenthasis, exponents, multiplication, division, add, subtract) and do 3^6 first
3x3x3x3x3x3=9x9x9=81x9=729
729x3=2187
What is the constant change for the table ?
Answer:
$9 per 1 item
Step-by-step explanation:
Answer:
$9 per 1 item
Step-by-step explanation:
Hi, could someone quickly please help me?
1. The location of two hikers is marked on the topographic map to the right as points F and H. What is the elevation of the camper at point F?
2. Each hiker climbed to point G along the path indicated by the arrow. What was the change in elevation for the hiker that took the steepest path point G?
Answer:
740 m
Step-by-step explanation:
Answer:
2. elevation above sea level Contour lines run next to each other.
PLEASE HELP THIS IS URGENT>>>>NO LINKS!!
Answer:
i believe that the answer is c
The mean of data set A is 42. The mean of data set B is 47. The mean absolute deviation (MAD) of both data sets is 2.5. What is the difference of the means?
Answer:
the difference of the mean in the case of mean absolute deviation is 2.5
Step-by-step explanation:
The computation of the difference of the mean is shown below:
Difference is of
= B - A
= 47 - 42
= 5
Now the difference of the mean is
= 5 ÷ 2.5
= 2.5
Hence, the difference of the mean in the case of mean absolute deviation is 2.5
The same would be relevant
Answer this please...........
okay lets begin with the first part of it which is tan
sinx=p/h -----> some people have
cosx=b/h ----> curly brown hair
tanx=p/b -----> through proper brushing
an easy way to remember the ratios ^
we have sin and cos so we can say that the h=41 b= 40 and p is 9
so tan will be [tex]tanA=\frac{9}{40}[/tex]
now csc sec and cot are reciprocals of sin cos and tan
so sinA is 9/41 cscA will be 41/9
cosA is 40/41 secA will be 41/40
tanA is 40/9 cotA will be 40/0
If x is the price of an item and it is marked 20 % off during the sale, what is the sale price?
Answer:
The sale price is 80% of x or x*0.8.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Find the area of this triangle. Round to the nearest whole number.
Answer:
35
Step-by-step explanation:
Area of a triangle= B*H/2 so 14*5/2=35
Answer:
35
Step-by-step explanation:
I took the quiz
2496 of what number is 6?
24% of is 6.
40% of the flowers in a garden are red. If 70
flowers are growing in the garden, how many
red flowers are growing?
Answer:
40% of 70 = red flower hence red flower are 28
Answer:
So there are 28 red flowers are growing
Step-by-step explanation:
=40/100 ×70
= 28
Plz mark me as Brainest answer
The price of 1 kg of silver on 1st January 2010 was $607
By 1st January 2015, the price of 1 kg of silver had decreased by 9.4%
Work out the price of 1 kg of silver on 1st January 2015.
Give your answer correct to the nearest dollar
Answer:
550
Step-by-step explanation:
9.4/100 multiplied by 607 is 57
subtract this from 607 and the answer is 549.9, to the nearest dollar is 550
36.3 convert decimal into percent multiply it by 100.
Answer:
3,630%
Step-by-step explanation:
I multiply 36.3 by 100
Answer:
3630% hope it helps can I get brainliest
Step-by-step explanation:
Multiply 36.3 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.
36.3/1 × 100/100=3630/100
3630/100 is 3630 over 100 and means 3630 per 100. 3630 "per 100" means 3630 "percent" or 3630%
Therefore, we have shown that
36.3 = 3630%
Convert the angle measures from radians to degrees
How do I find this answer?
In circle O below AB is a diameter and m
9. A bag contains 1 orange cube, 6 white cubes, and 3 grey cubes. Three cubes are drawn,
one at a time, without replacement Find the probability that the order in which they are
selected is
a white, white, white
b) white, white, grey
c) orange, white, grey
d) grey, white orange
urgent plz answer!!
Your entry level position at the law firm is $34,000 and it increases by 2.5% each year.
A. Write an exponential function to represent this situation.
B. What will your salary be in 5 years? Round your answer to the nearest dollar.
pls I need this I'll give away the rest of my points
Answer:
A) [tex]S(n) = 34000(1.025^{n})[/tex]
B) $38,468
Step-by-step explanation
[tex]34000 (1.025^{5}) = 38,467.8792[/tex]
11.
Write an inequality to model the situation.
A number exceeds 9.
A. n > 9
B. n < 9
C. n [tex]\geq[/tex] 9
D. n [tex]\leq[/tex] 9
5 is 5% of what number?
Answer:
100
Step-by-step explanation:
Find the volume for each.
Answer:
Volume of cuboid = 1,386 inch³
Step-by-step explanation:
Given:
Length of cuboid = 14 inch
Width of cuboid = 9 inch
Height of cuboid = 11 inch
Find:
Volume of cuboid
Computation:
Volume of cuboid = Length of cuboid x Width of cuboid x Height of cuboid
Volume of cuboid = 14 inch x 9 inch x 11 inch
Volume of cuboid = 126 inch² x 11 inch
Volume of cuboid = 1,386 inch³
Find the equation of the line below. If necessary, use a slash (/) to indicate a
division bar.
(1.4)
10
10
Answer here
Answer:
y= 4x
Step-by-step explanation:
The points on the line are (3,12)(1,4)
Slope=y2-y1/x2-x1=
4-12/1-3=
-8/-2=
4
Y-intercept= 0
-------------------
Equation: y= 4x
-------------------
Hope it helps...
Have a great day!!!
Linda needs 6/9 cup of strawberries and 3/4 cup mashed peach for a recipe. She wants to find whether she needs more peaches or strawberries. How can you write 6/9 and 3/4 as a pair of fractions with a common denominator?
Answer: Smashed Peach i.e. [tex]\dfrac{27}{36}[/tex]
Step-by-step explanation:
Given
Linda needs [tex]\frac{6}{9}[/tex] cup of strawberries
and [tex]\frac{3}{4}[/tex] cup of mashed peach for a recipe
For two fractions to have the same denominator, take L.C.M. of the denominator
[tex]\Rightarrow \text{L.C.M.(4,9)}=36[/tex]
[tex]\therefore \dfrac{6}{9}=\dfrac{6\times 4}{36}=\dfrac{24}{36}\\\\\Rightarrow \dfrac{3}{4}=\dfrac{3\times 7}{36}=\dfrac{27}{36}[/tex]
Therefore, she needs more mashed peach for the recipe.
Four laps around the track is equal to one mile. It takes Taylor 8 minutes to run 3 laps.
How many minutes would it take Taylor to run 6 miles?
A. 16 minutes
B. 36 minutes
C. 48 minutes
D. 64 minutes
Answer:
D
Step-by-step explanation:
8x60=480
480÷3=160
160x4=640
640 is 10 Minutes 40 Seconds
6 Miles is 24 Laps
640x6=3840
3840÷60=64
The Answer Will be 64 Minutes.
Simplify,
Rewrite the expression in the form 2n.
2.2.2.2.2.2.2.2
2.2.2.2
An expression is defined as a set of numbers, variables, and mathematical operations. The expression can be written in the form of 2ⁿ as 2⁴.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression can be rewritten as,
[tex]\dfrac{2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2}{2 \cdot2 \cdot2 \cdot2} = \dfrac{2^8}{2^4} = 2^{8-4} = 2^4[/tex]
Hence, the expression can be written in the form of 2ⁿ as 2⁴.
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An uber charges a flat rate of $6 plus $1.25 per mile. Kayla can spend no more than $27.50. If she wants to tip her driver $4, what is the greatest number of miles she can uber?
Answer:
14
Step-by-step explanation:
to determine the answer
Subtract the amount she wants to tip from the total amount of money she wants to spend
$27.50 - $4 = $23.50
Let m = total miles
the total miles she intends to drive can be determined using this equation
$23.50 = $6 + $1.25m
Collect like terms
$23.50 - $6 = $1.25m
$17.50 = £1.25m
Solve for m
17.50 / 1.25 = 14
What is 6/8+ 4/2-3/6?
Answer:
the answer is 2.25
Step-by-step explanation:
Answer:
2.25
Step-by-step explanation:
Find the volume of this square
based pyramid.
5ft
6 fi
Answer:
60ft
Step-by-step explanation:
I am here to help the people. You will never hear from me again, but know this, I will always be there to help strangers on the internet. Have a blessed life, you got this.
X = 60ft
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