Answer:
[tex]n \ge 4[/tex]
Step-by-step explanation:
Given
A number is at least 4
Required
Write as inequality
Let the number be n
So, we have:
n is at least 4
In inequalities, at least means [tex]\ge[/tex]
So, the expression becomes
[tex]n \ge 4[/tex]
Which of the following is true about the mass of an object? (10 points)
It is equal to its weight.
It is proportional to its weight.
It is always more than its weight.
It changes at different locations.
Step-by-step explanation:
The correct answer is
It is proportional to its weight.
Hope it will help :)❤
Step-by-step explanation:
mass is proportional to the weight of the object
w = mg
In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 41% use flexible work arrangements. Suppose that of those companies that do not use flexible work arrangements, 30% give time off for volunteerism. In addition, suppose that of those companies that use flexible work arrangements, 50% give time off for volunteerism. If a company is randomly selected, determine the following probabilities:
a. The company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Answer:
a) 0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b) 0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c) 0.3317 = 33.17% probability that the company uses flexible work arrangements.
d) 0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e) 0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. The company uses flexible work arrangements or gives time off for volunteerism.
41% use flexible work arrangements.
Of the 100-41 = 59% that do not use flexible work arrangments, 30% give time off for volunteerism. So
[tex]p = 0.41 + 0.59*0.3 = 0.587[/tex]
0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
41% use flexible work arrangements. Of those, 100 - 50 = 50% do not give time off for volunteerism. So
[tex]p = 0.41*0.5 = 0.205[/tex]
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
Here, we use conditional probability.
Event A: Does not give time off for volunteerism
Event B: Uses flexible work arrangments.
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
This means that [tex]P(A \cap B) = 0.205[/tex]
Probability that the company does not give time off for volunteerism:
0.205(uses flexible work arrangments).
100 - 30 = 70% of 59%. So
[tex]P(A) = 0.205 + 0.7*0.59 = 0.618[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.205}{0.618} = 0.3317[/tex]
0.3317 = 33.17% probability that the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
Again conditional probability.
Event A: Gives time off for volunteerism
Event B: Does not use flexible work arrangements.
Probability of giving time off for volunteerism:
50% of 41%(have flexible work arrangements).
30% of 59%(don't have flexible work arrangements).
So
[tex]P(A) = 0.5*0.41 + 0.3*0.59 = 0.382[/tex]
Gives time off for volunteerism and does not use flexible work arrangements.
30% of 59%. So
[tex]P(A \cap B) = 0.3*0.59 = 0.177[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.177}{0.382} = 0.4634[/tex]
0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Does not use flexible work arrangments: 59%
Dont give time off for volunteerism(70% already in the 59%, so we dont add) and 50% of 41%.
[tex]p = 0.59 + 0.5*0.41 = 0.795[/tex]
0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
Which graph represents exponential decay?
Answer:
1000x4=4000
Step-by-step explanation:
there is no graph
Answer:
C
Step-by-step explanation:
The formula of triangles
Answer:
area of triangle = 1/2 ×base×height
Ben randomly selects five students from his class, and collects data on the number of hours of sleep they got the previous night. From these data, he computes a 95% confidence interval as 6.42 + 2. What may he conclude from this interval?
Answer:
can you help me to How do wetlands form?
Tributaries flow into rivers.
Runoff travels down the side of a divide.
Water builds up in a depression left by an ice sheet.
Groundwater comes to the surface and floods the land.
Step-by-step explanation:
3. Find the length of IH.
U
12
W
V
H
O 2
06
O 12
O 24
Answer:
0 vault x32 3sqeus 487=8
Step-by-step explanation:
so its 24 of 3 squers
Figure ABCD is a rectangle. Find the
value of x.
С
B
2x + 4
E
7X-1
А
D
x = [?]
PLEASE HELP‼️
The value of x for the two lengths of the diagonals is 1.
What is a diagonal?A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.
Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.
Given that the two segment values are 2x + 4 and 7x - 1. The value of x will be calculated as,
2x+4 = 7x-1
5x = 5
x = 1
Hence, the value of x is 1.
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Find (f+g)(x) for the function.
f(x) = x2 + x
g(x) = x + 2
use the distributive property to write the following expressions in expanded form 8(a+3b)
Answer:
8a + 24b
Step-by-step explanation:
'distributive' is just like sharing across
Answer:
8a + 20b + 4b
Step-by-step explanation:
Distributing it would be 8a+24b so expanding it would equal: 8a+20b+4b
Find the solutions of the quadratic equation –9x2 + 49 = 0.
Answer:
x=49/18
Step-by-step explanation:
a) List the differences between Linear and Exponential Functions.
Answer:
What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.
find ratio of 2m : 80cm step by step
Step-by-step explanation:
Hope it helps
Have a good day Ahead
How do you solve the following equation
: X/-3 + 2=4
Answer:
For this equation you be inverse operation giving you the answer -6
further information down below :)
Step-by-step explanation:
Your goal for this is to isolate the variable which is x.
First, find the operation opposite of addition which is subtraction
When you add that operation to both sides with the constant(2)
2 and 2 cancel each other out, but to the for the term(4) 4-2=2
after that you have your new term which is x/-3=2
You do the same thing but to in division because the opposite of multiplication is division in this case you multiply -3 to both sides -3*-3 cancel each other out, now you have-3*2= negative times a positive equal negative in anyway so, overall you get -6.
To check:
you do the full equation now that you have isolated the variable, you now can do the operations normally which are. -6/-3=2 because when you divide a negative by a negative you get a positive end out with 2+2=4 which is correct and match the sum.
This means that our answer is correct :)
cashews cost $1.74 per pound. walnuts cost $1.92 per pound. how much will 3 1/3 pounds of cashews and 2 5/8 pounds of walnuts cost in all?
Answer:
6.09+3.84=9.93 is the desired answer
Step-by-step explanation:
Cashews total cost step by step
1.74×3.5
Multiply 1.74 and 3.5 to get 6.09.
6.09
Peanuts total cost step by step
1.92×2
Multiply 1.92 and 2 to get 3.84.
3.84
Please help me with this :)
Step-by-step explanation:
that is all I knowThe probability that a seed will germinate is 0.65. Find the probability that a seed selected at a random will not germinate. *
Answer:
19 3782 832 38= 78043
Step-by-step explanation:
Can anyone help!!!! Please!!!?
Answer:
384
Step-by-step explanation:
A=[tex]6_{2}[/tex]a=6·82=384
Which method does NOT describe a way we can find the amount
of wood the team gathered per hour?
Answer:
D
Step-by-step explanation:
I just did it :)
PLS ANSWER QUICKLY AND PLS ANSWER CORRECTLY TEST WORTH 20 PERCENT OF MY GRADE
Answer:
b just tool the test
Step-by-step explanation:
The factors of 16-y² are
Answer:
(4 + y)(4 - y)
Step-by-step explanation:
[tex]16 - {y}^{2} \\ \\ = {4}^{2} - {y}^{2} \\ \\ = (4 + y)(4 - y)[/tex]
Complete the table below to find solutions to the linear equation 4x + y = -40.
Answer:
(1,-44), (2,-48),(3,-52).......
Step-by-step explanation:
4(1)+y=-40
4+y=-40
y=-40-4
y=-44
(1,-44)
.
.
.
(x,y)
(0,−40)
(2,−48)
(−10,0)
The reflection of point s across the y-axis is point_ the reflection of point
Answer:
Point V
Step-by-step explanation:
i think
URGENT !!!!! CAN ANY ONE GIVE 30 POINTS
Answer:
there an app called wolfram that you can use because I don't know how to do that
Find the values of x and y. Write your answer in simplest form.
Answer:
x=30°
y=30°
Step-by-step explanation:
x= 180-150=30°
y)
180=30 + 90 + z
z +120 = 180
z= 60
90-60=y
y=30
30°
Can someone help me with this problem?
Answer:
875ft squared (2)
Step-by-step explanation:
divide 5 into 35 you get 7
25 is 5 times 5 so you can infer that the measurement for FG would be 5x7
then do 35x25 and thats your answer
You are taking a trip at the same time as another
family. Your family traveled 1.900 miles in 2 days,
their family traveled 2.700 miles in 3 days. Who is
traveling fastera
Look at the shaded shapes drawn on a square grid. The area of the rectangle A is double the area of square b is he correct?
In AMNO, m = 720 cm, n = 160 cm and o=870 cm. Find the measure of 20 to the
nearest degree.
The measure of angle O from the triangle MNO is 156.92°.
What is cosine rule?In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
The formula for the cosine rule is c=√(a²+b²-2ab cosC)
Given that, in triangle MNO, m = 720 cm, n = 160 cm and o=870 cm.
Now, 870=√(720²+160²-2×720×160 cosO)
870²=720²+160²-2×720×160 cosO
756900=544000-230400 cosO
212900=-230400 cosO
cosO= -212900/230400
cosO= -0.92
∠O=156.92°
Therefore, the measure of angle O from the triangle MNO is 156.92°.
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Answer:
158
Step-by-step explanation:
Help me please this is due soon
Answer: You didn't add like a question or a link sorry..
I need help with this problem
Answer:
m<S: 54
m<U: 60
Step-by-step explanation:
x + 4 + x + 68 = 180
2x + 72 = 180
2x = 108
x = 54
<S:
x
54
<U:
x + 4
54 + 4
60