Answer:
m = 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
10 + 10 = 20
8 + 2 = 10
20 + 10 = 30
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]
Angles that are exactly 90°. What shape has all right angles ? a) a b) c)
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:
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.
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
Help please QUIcklyyy!!
Step-by-step explanation:
this triangle is a Right angle triangle so we gonna use Pythagoras theorem to find the unknown side the equation for this Triangle
X^2 +Y^2=R^2
X stand for X values (adjacent) and Y(opposite) sthands for Y values why R stand for hypotenuse side
The formula of triangles
Answer:
area of triangle = 1/2 ×base×height
Please help me with this :)
Step-by-step explanation:
that is all I knowWrite an equivalent expression. Simplify.3(4x-10)
Answer:
12x-30 is the answer simplified
Step-by-step explanation
theres no much of a process
find ratio of 2m : 80cm step by step
Step-by-step explanation:
Hope it helps
Have a good day Ahead
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?
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
Can anyone help me with this please!!? I’ll mark you brainliest!!
Answer:
each square is 5". the base is 4x4 squares- so 20 inches square. 20x20= 400sq inches.
the semicircle at the top is 20 inches in diameter, which makes the radius 10 inches.
pi× 10^2= 314.16.
duvide that by 2 to get a semicircle- 157.8
so, the total area is the 400+ 157.8, for a total area of 557.8 square inches
Bryan withdrew $60 from his bank account. If this is 15% of the money he had in his account, how much money was in his account before the withdrawal?
Answer:
Bryan had 400$ in his bank account before he withdraw
Step-by-step explanation:
60$ ---- 15%(set what you have)
x$ ------100%(set what you need)
(x$ x 15%) 15x =(60$ x 100%)6000( cris cross the sides)(the signs dont matter )
x=400
5. Find the vertex and y-intercept of the quadratic function.
y = 3x2 - 12x + 40
The vertex of the function is (2, 28) and the y-intercept of the function is (0, 40)
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the vertex?The equation of the function is given as
y = 3x^2 - 12x + 40
Differentiate the function
So, we have
y' = 6x - 12
Set the function to 0
So, we have
6x - 12 = 0
This gives
6x = 12
Divide by 6
x = 2
Substitute x = 2 in y = 3x^2 - 12x + 40
y = 3 x 2^2 - 12 x 2 + 40
Evaluate
y = 28
This means that the vertex of the function is (2, 28)
Substitute 0 for x to determine the y-intercept
y = 3 x 0^2 - 12 x 0 + 40
Evaluate
y = 40
This means that the y-intercept of the function is (0, 40)
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Solve and write and answer in interval nation.
5n - 13 < 4n - 10
Answer:
(-∞, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsInterval Notation - [Brackets] mean inclusion, (Parenthesis) means exclusionStep-by-step explanation:
Step 1: Define
5n - 13 < 4n - 10
Step 2: Solve for n
[Subtraction Property of Equality] Subtract 4n on both sides: n - 13 < -10[Addition Property of Equality] Add 13 on both sides: n < 3Here we see that any value n smaller than 3 would work as a solution to the inequality.
∴ our interval is (-∞, 3)
hola tengo una pregunta
Answer:
que pregunta? yo te la respondo
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.
197348534584÷196452565
Answer:
10004.56074361
Step-by-step explanation:
There you go LOL VERY LONG NUMBER
Answer:
197348534584÷196452565=1004.56074261
Step-by-step explanation:
I hope this helps.
Round 3.656 to the nearest hundredth
Answer:
3.66
Step-by-step explanation:
You would have to round up the 6 over there in the thousandths, then kinda carry over the 10 to make the 5 a 6 so you would get 3.66
Answer:
3.66
Step-by-step explanation:
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
of tthe students in Mr.Smith's fifth grade class ,1/3 were absent on Monday .Of the students in Mrs.Jacob's class ,$/5 were absent Monday .If there were 4 students absent in each class on Monday,how many students are in each class?
Answer:
64
Step-by-step explanation:
4 students were absent and that's 1/3 of class 4x4x4= 64
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
The 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:
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 :)
Helllp meeee this assignment is missing and I realy need to do it ASAP
.............
Answer:
1,000, 50, 1
Step-by-step explanation:
to hard to explane
The teams are trying to defend their goal and scoring in the opponent's goal even if their opponent's score is higher than them.what values is shown in this situation
Answer:
However, if the initial receiving team only scores a field goal, the game is not automatically over and the other team is given an opportunity .
sana makatulong
Step-by-step explanation:
Cory wants to build a model of a 12 meter tall ship. He will be using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be? Round your answer to the nearest tenth.
Answer:
5.1 cm
Step-by-step explanation:
12/3.5= 24/7
24/7 x 1.5= 36/7
= 5.1 cm
By what fraction equal to 1 should 2/3 be multiplied to form 8/11 ?
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: