Answer:
x = 45
Step-by-step explanation:
[tex]540 + 6x = 810[/tex]
Step 1 : Collect like terms
[tex]6x = 810 - 540[/tex]
Step 2 : Simplify
[tex]6x = 270[/tex]
Divide both sides of the equation by 6
[tex] \frac{6x}{6} = \frac{270}{6} [/tex]
Step 4 : Simplify
[tex]x = 45[/tex]
I hope it helps :)
Answer:
Well...X=45
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:540+6*x-(810)=0
Pull out like factors :-270 + 6x = 6 • (x - 45)
Solve : x-45 = 0::
Add 45 to both sides of the equation: x = 45
60% of a firm's employees are men. Suppose four of the firm's employees are selected. a. What is the random variable we can consider here? b. What is probability of finding three men and one woman? c. What is the answer for part if 75% of employees were men?
Answer:
60% of the employees are men.
Then the 40% left must be women.
4 of them are selected.
a) What is the random variable we can consider here?
A random variable is a variable that can have different outcomes or values, in other words, it is a stochastic variable.
We have a selection of 4 employees at random, then we can define the variable X, that represents (for each employee) the possibility of being man or woman.
b) Probability of 3 men and 1 woman.
Suppose that the selection is in the order:
man-man-man-woman.
We have:
0.6 tree times.
0.4 one time.
P = 0.6^3*0.4
But this is for the case where the woman is in the last selection, it can be in the first, second and third, then we have 4 permutations, the actual probability is:
P = 4*( 0.6^3*0.4) = 0.3456.
c) If now we have tat 75% are men, then 25% are women.
Now we can do the same as before, but now the probability for a man is 0.75 and for a woman is 0.25, then the previous equation is now:
P = 4*(0.75^3*0.25) = 0.421875
(a) The random variable will be "Men percentage".
(b) The probability of finding 3 men and one woman be "0.3456".
(c) The probability be "0.4219".
Probability(a) A random variable represents a variable which might have several occurrences as well as quantities; it is indeed a stochastic quantity.
If we choose four workers at random, users may create the variable X, which reflects the potential of someone being a male or even a woman.
(b) The probability be:
→ P(3 men and women) = [tex]4C_3[/tex] (0.6)³ (1 - 0.6)¹
= 0.3456
(c) The probability be:
→ P(3 men and women) = [tex]4C_3[/tex] (0.75)³ (1 - 0.75)¹
= 0.4219
Thus the response above is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
the sum of pi and 3/4 is a (n)_________ number
A. Rational
B. Natural
C. Whole
D. Irrational
What is the first step in solving the inequality StartFraction m minus 2 Over 6 EndFraction < –1?
Multiply both sides by 6.
Add 2 to both sides.
Change the direction of the inequality.
Change the inequality to ≤.
Answer:
A) Multiple both sides by 6
Step-by-step explanation:
Edge2020
-(1+7x)-6(-7-x)=36 what is x equal to
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-(1 + 7x) - 6(-7 - x) = 36
Step 2: Solve for x
Distribute: -1 - 7x + 42 + 6x = 36Combine like terms: -x + 41 = 36Subtract 41 on both sides: -x = -5Divide both sides: x = 5Step 3: Check
Plug in x to verify it's a solution.
-(1 + 7(5)) - 6(-7 - 5) = 36
-(1 + 35) - 6(-12) = 36
-(36) + 72 = 36
-36 + 72 = 36
36 = 36
The distance, D, travelled by a particle is directly proportional to the square of the time, t, taken. When t = 40, D = 30. find a formula for D in terms of t. Calculate the value of D when t = 64
Answer:
The formula for D in terms of t is D=0.01875t²
The value of D is 76.8
Step-by-step explanation:
See above for an image
Hope I helped!
After calculating by definition of proportionality, the value of D is 76.8
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The distance, D, travelled by a particle is directly proportional to the square of the time, t.
So, We can defined as;
⇒ D = k × t²
Where, 'k' is constant of proportion.
Here, When t = 40, D = 30,
⇒ D = k × t²
⇒ 30 = k × 40²
⇒ 30 = k × 1600
⇒ k = 30 / 1600
⇒ k = 3/160
So, When t = 64, the value of D is,
⇒ D = 3/160 × 64²
⇒ D = 76.8
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ2
What is the solution to this equation:
X+7=-8
Answer:
[tex]\boxed {x = -15}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x + 7 = -8[/tex]
-Subtract both sides by [tex]7[/tex]:
[tex]x + 7 - 7 = -8 - 7[/tex]
[tex]\boxed {x = -15}[/tex]
So, the value of [tex]x[/tex] is [tex]-15[/tex].
4-x/2=6 solve for x.
jkjhjk
2.
What is the volume of a cone with a radius of 3 feet and a height of 6 feet? Use 3.14 for pi. Round your answer to the nearest hundredth. (4 points)
Answer:
56.55
Step-by-step explanation:
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the
third angle is 50 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Step-by-step explanation:
no need.,..................
....
A right triangle with angle measures of 45, 45, 90 degrees undergoes a reflection, rotation, and translation. Determine whether the angle measure of the image of the triangle are 45, 45 and 90 degrees after each transformation. Choose yes or no.
Answer:
Reflection - Yes
Rotation - Yes
Translation - Yes
Step-by-step explanation:
After all 3 different transformations, the angle measures of the triangle will stay the same, at 45, 45, and 90 degrees.
This is because these 3 transformations do not change the shape of the triangle. They only change the orientation and placement of the triangle.
So, the angle measures will still be 45, 45, and 90 degrees after each transformation.
Answer:
Yes, the correct answer to this question is Yes.
The table shows four swimmers who raced against each other at a swim meet.
Which list shows the swimmers in order by their completion times from slowest to fastest
Answer:
Since you didn't provide the answer choices, it should look like something like this:
(from slowest to fastest)
Addison
Michael
Bryce
Susan
Explanation:
When you convert all the fractions into decimals, you can see and compare times easier.
Susan > 25.09
Bryce > 25.50
Addison > 25.80
Michael > 25.33 (the 3's go on practically forever, thats why it is usally shortened.)
Line m passes through points (2,-5) and (4,-3). Line n passes through points (-4,-8) and (-6,-6). Are lined m and n perpendicular? Explain?
A. Yes, the lines are perpendicular because the product of their slopes does not equal -1.
B. Yes, the lines are perpendicular because the product of their slips equals -1.
C. No the lines are not perpendicular because the product of there slopes equals -1.
D. No the lines are not perpendicular because the product of their slopes does not equal -1
k(n)=3n+2; Find k(0)
Answer:
2
Step-by-step explanation:
substitute 0 for n:
3(0)+2
=2
Answer:
2
Step-by-step explanation:
Write the equation of the line that is parallel to y=3x+1 that passes through (2,3)
Answer:
Y=3X+3
Step-by-step explanation:
Y=mx+b
m=3
when x=2 and y=3 b=3
4,362,784 rounded to the greatest place value is?
Answer: 4,000,000
Step-by-step explanation:
4 is the greatest in place values. 3 is lower than 5 so 4 stays the same.
Answer:
The answer is 4,000,000.
Step-by-step explanation:
The greatest place value is the digit closest to the left. 4,362,784 rounded to the closest million is 4,000,000.
Suppose a 24-acre plot of land is being divided into (1/3)-acre lots for 10 poir
a housing development project. What is the greatest number of lots
possible in the development? *
O 8 lots
O 27 lots
O 56 lots
O 72 lots
Answer:
72 lots
Step-by-step explanation:
Aaron claims the same answer could also be found by adding either –5 + 3 or –3 + 5.
What is the error in Aaron’s reasoning?
The commutative property is not true for addition.
The negative signs were switched.
The numbers are not in the correct order.
The associative property was used.
Answer:
The answer is "the negative signs were switched"
Answer:
The answer is "the negative signs were switched"
Step-by-step explanation:
6=2(y+2) solve for y pls I need this!!!!!!!!!!
Answer:
3=y
Step-by-step explanation:
step1
decompose the bracket
6=2(y+2)
6=2y+12
collect like terms
6-12=2y
6=2y
divide both side by 2
Please help quickly
Answer:
m∠PQR = 133
Step-by-step explanation:
∠PQR and ∠RQS are supplementary angles, meaning they have a sum of 180°.
3x - 5 + x + 1 = 180
4x - 4 = 180
4x = 184
x = 46
Now we simply substitute 46 in for x:
3(46) - 5 = 133
Need the answer pls and thank you
Answer:
y=1.75x
Step-by-step explanation:
show that the area of the rectangle ABCD is 3 route 5 cm
Answer:
Please see the attached picture for the full solution.
Mrs.Reynolds is picking up 17 playground balls after recess and she wants to put the same number of balls into each ball bin . What are the different ways she could group the balls
What is the equation of this line?
Answer:
A
Step-by-step explanation:
Rise over run up one unit over 2 and the y int is at -3
Find the sum or difference of the polynomials (x2−xy+y2) − (x2+xy+y2)
A ribbon 105 centimeters long is cut into two pieces. One of the pieces is four times longer than the other. What is the length, in centimeters of the shorter piece
of ribbon?
Type your answer as the number ONLY.
Answer:
21 cm
Step-by-step explanation:
The two pieces have a length ratio of 1 : 4, so the shorter piece is 1/(1+4) = 1/5 of the total length.
105 cm/5 = 21 cm
The shorter piece is 21 cm.
_____
We assume you can figure out how to write only the digits of the number.
help please! i don’t understand how to do this!
Answer:
x=c+b/a
Step-by-step explanation:
ax-b=c
+b +b
ax=c+b
__ ___
a=c+b/a
Answer:
D
Step-by-step explanation:
Given
ax - b = c ( add b to both sides )
ax = c + b ( isolate x by dividing both sides by a )
x = [tex]\frac{c+b}{a}[/tex] → D
A small scoop hold 75% as much as a large scoop. If the small scoop holds
36 units, how much does the large scoop hold?
Please help! This is 38 points for a simple question :(
Answer:
Large scoop holds 48 units.
Step-by-step explanation:
Large: x
Small: .75x = 36
x = 48 units
Select equivalent or not equivalent for each pair of expressions
Answer:
1: equivalent
2: equivalent
3: not equivalent
Step-by-step explanation:
for 1 & 2, you just switch the terms, but for 3, the 6z is not negative in the first expression, but it is in the second.
Help please if you can thanks
Answer:
The answer is C
Step-by-step explanation:
In 1 they are talking about future tense: What will happen
In 2 they are talking about present tense: What is happening
So they said what they are going do to and now they are doing it
Hope this helped:)
Which statement is true? Use the number line to help. A number line going from negative 2.5 to positive 2.5 in increments of 0.5. –2 is greater than Negative 2 and one-half. 1.5 is less than 1 1 is less than Negative one-half. Negative 1 and one-half is greater than Negative one-half.
Answer:
-2 is greater than Negative and one-half
Step-by-step explanation:
The number is further from zero towards the negative portion o the number line making it of lesser value.