Answer:
88
Step-by-step explanation:
Looks close to a right angle so 88 degrees most likely.
Answer:
b 88
Step-by-step explanation:
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)
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.
Complete the following statement. The distance around the edge of a figure is its ____.
Answer:
Perimeter
Hope it helps!
The distance around the edge of a figure is its Perimeter.
To complete the following statement. The distance around the edge of a figure is its ____.
Perimeter is the measure of the length of the figure on its circumference.
Since in the question blank, space is given following the definition,
The distance around the edge of a figure is perimeter because the measure of the boundary of any figure is termed as its perimeter.
For example, the Perimeter of the rectangle is the total measure of the two-time measures of length and width. For the Perimeter of the square, it is 4 times the length of one side. For the Perimeter of the circle, it is 2π times of radius.
Thus, the distance around the edge of a figure is its Perimeter.
Learn more about perimeter here:
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A painting of length 36 cm and breadth 22 cm is drawn on a cardboard such
that there is a margin of 2.5 cm outside each of its sides. Find the total area of
the margin.
In a triangle PQR right angled at Q, QR = 24 cm and hypotenuse PR = 25
cm. Find the length of PQ.
If ∆ DEF ≅ ∆ MNL, then name the parts of ∆ MNL that are congruent to:
a) Angle F
b) Side DF
c) Angle E
d) Side FE
Raju’s father is 57 years old. He is three years younger than four times
Raju’s age. What is Raju’s age?
Answer:
1) 315cm^2
2) 7cm
3) :
a) Angle L
b) Side ML
c) Angle N
d) Side LN
4) 13 and a half years old
Step-by-step explanation:
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
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
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.
The formula of triangles
Answer:
area of triangle = 1/2 ×base×height
Find the solutions of the quadratic equation –9x2 + 49 = 0.
Answer:
x=49/18
Step-by-step explanation:
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°
25°
y
X120°
y = [? ]
Answer:
95
Step-by-step explanation:
ur welcome
brainliest plz
Help please, stuck on this one!
Answer:
AFCE = 30
P+Q = 11
Step-by-step explanation:
From the picture, you can see the figure can be decomposed into two identical large triangles with area 20, and 4 identical longer ones, that have to cover the remaining area 40, thus 10 each.
From that you can count the area.
Second puzzle is just trial and error.
HELP PLZ................
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°.
Learn more about the cosine rule here:
https://brainly.com/question/26952873.
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Answer:
158
Step-by-step explanation:
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
PLS ANSWER QUICKLY AND PLS ANSWER CORRECTLY TEST WORTH 20 PERCENT OF MY GRADE
Answer:
b just tool the test
Step-by-step explanation:
- Jared rides his bicycle 6 miles in 3/5 of an hour. At this rate, how many miles
could he ride in 3 hours?
Answer:
30 miles
Step-by-step explanation:
3 hours = 180 minutes
3/5 of an hour = 36 minutes
180/36 = 5
5 times 6 = 30
I hope this helps :)
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:
Use the Distributive Property to complete the equivalent expression: 9(6y - 4) *
Answer:
54y-36
Step-by-step explanation:
9*6y=54y
9*4=36
Hope this helps :)
The wheel of a car rotated 1000 times in travelling a distance of 1.76 km. Find the radius of the wheel
Answer:
0.28m hope it help you☺........
Answer for brainliest
Answer:
(-4, -1) (see below)
Step-by-step explanation:
Substitution means that you actually replace, or "substitute," the value of the variable in.
Here, y = -1, so -3x - 8y = 20 can be written as:
-3x - 8 (-1) = 20
We can now solve for x:
-3x + 8 = 20
-3x = 12
x = -4
Putting this into (x, y) format equals:
(-4, -1)
A car uses 8 gallons of gasoline to travel 192 miles. How many gallons are used to go 144 miles? *
Answer:
6 gallons
Step-by-step explanation:
You can find this using the ration method.
If, 8 gallons : 192 miles
x gallons : 144 miles
We must find the value of x, which is the number of gallons used to travel 144 miles.
Cross multiply the ratios.
192 x = 8 × 144
192 x = 1152
x = 1152 ÷ 192
x = 6
∴ It takes 6 gallons to travel 144 miles.
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
One-fifth the sum of one-half and one-third. WRITE IN A EXPRESSION FORM
Answer:
1/6
Step-by-step explanation:
1/2 + 1/3 = 5/6
1/5 of 5/6 = 5/30
5/30 can be simplified as 1/6.
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
Why is the product of a rational number and an irrational number irrational? because the product is always a non-terminating, non-repeating decimal because the product is always a fraction because the product is always a negative number because the product is always a repeating or a terminating decimal
Answer:
Because the product is always a non-terminating, non-repeating decimal.
The product of a rational number and an irrational number will always be an irrational number. Then the correct option is A.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
The product of a rational number and an irrational number will always be an irrational number.
Because the product is always a non-terminating, non-repeating decimal number.
Then the correct option is A.
More about the rational number link is given below.
https://brainly.com/question/9466779
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pls help I have to turn it in by Monday morning and it’s 1am or I fail
Answer:
w=36
f=12
k=13
Step-by-step explanation:
Answer:
5f=60 f=60/5 f= 12 check: 12× 5 =60By what fraction equal to 1 should 2/3 be multiplied to form 8/11 ?
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 :)
please solve the 5 questions for 5 brainlist and 5 star mark and 17 points
Answer:
1) 27
2) 2/5
3) 1
4) 1.5 lbs
Step-by-step explanation:
1) First, 8505/315 = 27
2)I don't really have an explanation for this one-
3) 2/3 = 6/9. 6/9 + 3/9 = 1
4) 4/8 x 3 = 1.5
1. 2
8,505 ÷ 315 = 27
2. 2 ÷ 5
Fractions are division problems so it would be 2 divided by 5
3. 9/9 or 1
Make them have the same denominator
2/3 + 3/9 = 6/9 + 3/9 = 9/9 = 1
4. 1 ½
4/8 simplified is ½ so you should do ½ x 3 = 1 ½
5. The baker needs 750 more grams
Multiply 2.5 by 1000, which is 2500
That’s how many grams the baker needs, now you need to do 2500 - 1750
Which is 750 grams
Sorry that this took a while, but I am happy to help you!!