Answer:
x=3
Step-by-step explanation:
Subtract 5 from both sides:
2x=6
Divide both sides by 2:
x=3
Answer:
3
Step-by-step explanation:
2x+5=11
subtract 5 from both sides of the equation
2x=6Then divide by two to both sides of the equation
x=3The number of boys at CMS is 56% of the total number of students. If there are 1050 students, how many are boys?
Answer:
558
Step-by-step explanation:
I really need help on this question.!
Answer:
[tex]60 + 55 + x + 20 = 180 \\ x + 135 = 180 \\ x = 180 - 135 \\ x = 45[/tex]
Given that P=x+y. Find P when: x=−5 and y=−3
Answer:
P = - 8
Step-by-step explanation:
Given
P = x + y ← substitute x = - 5 and y = - 3
P = - 5 + (- 3) = - 5 - 3 = - 8
Please help! I'm writing a test and don't have much time. Step by step please! (20 point)
Answer:
-3+6x
x+3
Step-by-step explanation:
Answer:
23x^3+9x^2-5x+1/x^2
Step-by-step explanation:
I hope you don't mind me putting my explanation as a screenshot of this lol
A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). (Enter your answers to four decimal places.)
Required:
a. How many selections result in all 7 workers coming from the day shift?
b. What is the probability that all 7 selected workers will be from the day shift?
c. What is the probability that all 7 selected workers will be from the same shift?
d. What is the probability that at least two different shifts will be represented among the selected workers?
e. What is the probability that at least one of the shifts will be unrepresented in that sample of workers?
Answer:
Step-by-step explanation:
Total number of workers = 20+ 15 + 10 = 45
Suppose 6 workers are selected from 45 workers, the number of ways they can be selected is [tex](^{45}_6)[/tex] ways
If 7 workers are selected from 20 workers on a day shift;
Then, the number of ways to select 7 members from a group of 20 is [tex](^{20}_7)[/tex] ways;
∴
P( all 7 selected workers will be from the day shift) is:
[tex]= \dfrac{(^{20}_7)}{(^{45}_6)}[/tex]
[tex]=\dfrac{ \dfrac{20!}{7!(20-7)!} } { \dfrac{45!}{6!(45-6)!}}[/tex]
= 0.0095
The possible number of ways to select all day shift workers is:
[tex]=(^{20}_{7})[/tex]
The possible number of ways to select all swing shift workers is:
[tex]=(^{15}_{7})[/tex]
The possible number of ways to select all graveyard shift workers is:
[tex]= ( ^{10}_{7})[/tex]
∴
The probability that all selected workers are from the same shift is:
[tex]= \Bigg [ \dfrac{ (^{20}_7) }{(^{45}_6) } + \dfrac{ (^{15}_7) }{(^{45}_6) } + \dfrac{ (^{10}_7) }{(^{45}_6) } \Bigg][/tex]
[tex]= \begin {bmatrix} \dfrac{ \dfrac{20!} {7!(20-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{15!} {7!(15-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{10!} {7!(10-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } \end {bmatrix}[/tex]
= 0.0095 + 0.00079 + 0.000015
= 0.010305
P(selected workers are from at least two different shifts)
= 1 - P(selected workers are from 1 shift from any of the 3 shifts)
= 1 - 0.010305
= 0.989695
≅ 0.9897
We can determine the probability that at least one shift is unrepresented through the following ways:
Let assume that:
[tex]X_1 =[/tex] event that day shift is unrepresented
[tex]X_2 =[/tex] event that swing shift is unrepresented
[tex]X_3 =[/tex] event that graveyard shift is unrepresented
Thus; [tex](X_1 \cap X_2)[/tex] = event that all of them are drawn from graveyard shift.
[tex](X_1 \cap X_3) =[/tex] event that all are drawn from swing shift
[tex](X_2 \cap X_3) =[/tex] event that they are all drawn from day shift.
So;
[tex]P(X_1) = \dfrac{(^{25}_{7})} { (^{45}_{6}) } = 0.0590[/tex]
[tex]P(X_2) = \dfrac{(^{30}_{7})} { (^{45}_{6}) } = 0.2499[/tex]
[tex]P(X_3) = \dfrac{(^{35}_{7})} { (^{45}_{6}) } = 0.8256[/tex]
[tex]P(X_1 \cap X_2) = \dfrac{(^{10}_{7})} { (^{45}_{6}) } = 0.000015[/tex]
[tex]P(X_1 \cap X_3) = \dfrac{(^{15}_{7})} { (^{45}_{6}) } = 0.00079[/tex]
[tex]P(X_2 \cap X_3) = \dfrac{(^{20}_{7})} { (^{45}_{6}) } = 0.0095[/tex]
[tex]P(X_1 \cap X_2 \cap X_3) =0[/tex]
Probability (that at least one shift is unrepresented) is:
[tex]= P(X_1) + P(X_2) +P(X_3) - P(X_1 \cap X_2) - P(X_1 \cap X_3) - P(X_2 \cap X_3) + P(X_1 \cap X_2 \cap X_3)[/tex]
= 0.0590 + 0.2499 + 0.8256 - 0.000015 - 0.00079 - 0.0095 + 0
≅ 1.124
Which type of transformation is described by (x, y)
->
+ (x + 3, y — 2)?
Answer:
(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.
Step-by-step explanation:
Given the rule of transformation:
(x, y) → (x+3, y-2)
If we move horizontally 3 units to the right, 3 is added to the x-coordinate of any given point, and then 2 units down.
In other words,
(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.
For example,
Let say if we have the point A(4, 5)
Using the translation rule:
(x, y) → (x+3, y-2)
A(4, 5) → A'(4 + 3, 5 - 2) → A'(7, 3)
Therefore, the new position of A(4, 5) after translating 3 units left and 2 units down would be: A'(7, 3)
PLEASE HELP WITH THESE QUESTIONS I HAVE 5 MINUTES LEFT
What is 4 superscript 5 written in expanded form?
O 4 + 4 + 4 + 4 + 4
O 4 times 4 times 4 times 4 times 4
O 5 + 5 + 5 + 5
O 5 times 5 times 5 times 5
Answer:
4+4+4+4+5
Step-by-step explanation:
is 5 times the number only expanded
Answer:
4+4+4+4+5
Step-by-step explanation:
identify the independent variable for this function
Explanation:
Time progresses without any control over it, so it's something that does not depend on any other factor such as distance. On the other hand, as the time value changes, the distance changes. So the distance is dependent on the time.
The horizontal axis is the x axis, and the x value is always the independent variable. The vertical y axis is the distance. The y value is always the dependent variable.
2. Using the ruler below, construct a triangle that has side lengths of 3 cm, 4 cm, and 5 cm.
triangle does this appear to be? Verify by using your protractor to measure angles.
What type of
Step-by-step explanation:
if to apply the Piphagorean theoreme, then one of the angles is 90° (opposite to the side with the length 5):
3²+4²=5²; ⇔ 9+16=25.
A man spend 10% of his salary on rent, 25% on food, 18% on transportation and the balance he saves. If his salary is $1500 per month, how much does he save each month?
Answer:
He saved $705 pls mark brainliest
Step-by-step explanation:
So 10% is $150 and 25% is 375 and 18% is 270 so you would add all those togeather to get 795 and 1500-795 is 705 so he saved $705!
-4x-y=24 complete the missing value in the solution to the equation
Answer:
point
Step-by-step explanation:
Complete the following statements.
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains fluid ounces of liquid.
The soda bottle contains gallons of liquid.
A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains quarts of milk.
The milk jug contains liters of milk.
Answer:
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains 0.525 gallons of liquid.
2) A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains 8 quarts of milk.
The milk jug contains 7.6 liters of milk.
Step-by-step explanation:
We need to complete the statements.
1)
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains ------- fluid ounces of liquid.
Converting Liters to fluid ouncesWe know that 1 liter = 33.81 fluid ounces
So, 2 liter = 2 x 33.81 = 67.62 fluid ounces
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains gallons of liquid.
Converting liters to gallonsAs, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons
We know that
1 liter = 1.05 quarts
2 liters = 2 x 1.05 = 2.1 quarts
4 quarts = 1 gallon
1 quarts = 1/4 gallon
2.1 quarts = 1/4 * 2.1 = 0.525 gallon
The soda bottle contains 0.525 gallons of liquid.
2)
A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains -------- quarts of milk.
Converting gallons to quartsWe know:
1 gallon = 4 quarts
2 gallons = 2 x 4 = 8 quarts
The milk jug contains 8 quarts of milk.
The milk jug contains ------ liters of milk.
Converting gallons to litersWe know:
1 gallon = 4 quarts
2 gallon = 8 quarts
1.05 quarts = 1 liter
1 quarts = 1/1.05 liter
8 quarts = 1/1.05 * 8 = 7.6 liter
The milk jug contains 7.6 liters of milk.
(THIS IS 30 POINTS!!) In Ms. Hollbrook's class, 62% of the class enjoys watching anime. If there are 32 students in Ms. Hollbrooks class, about how many students enjoy watching anime?
A) 12 students
B) 14 students
C) 16 students
D) 20 students
Answer:
D)
Step-by-step explanation:
32*0.62=19.84≈20.
What is the ratio of the calories Robyn
burned on Wednesday le the celories she
burned on Monday?
Question isn't complete but we make assumptions in order to complete the question and explain
Answer and explanation:
If we are given a table on calories burned by Robyn on weekdays from Monday to Friday and on this table Robyn burnt 500 calories on Monday and burnt 400 calories on Wednesday, then we are required to determine the ratio of calories burnt on Wednesday to calories burnt on Monday:
Calories burnt on Wednesday = 400
Calories burnt on Monday =500
Ratio of calories burnt on Wednesday to calories burnt on Monday =400/500=4/5
Ratio =4:5
A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioningsystems:
Yes No
Evidence of electrical failure Yes 55 17
Electrical failure No 32 3
The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability.
a. That failure involves a gas leak
b. That there is evidence of electrical failure given that there was a gas leak
c. That there is evidence of a gas leak given that there is evidence of electrical failure
Answer:
A) 0.8131 ≈ 0.81
B) 0.6322 ≈ 0.63
C) 0.7639 ≈ 0.77
Step-by-step explanation:
A)
Total number of units
= 55 + 32 + 17 + 3
= 107
hence the probability that the failure involves a gas leak
= ( 55 + 32 ) / 107
= 0.8131
B) probability that there is evidence of electrical failure given tat there is a gas leak
P ( A / B ) = [tex]\frac{P(A n B)}{P(B)}[/tex]
P( A∩B ) = 55/107 = 0.5140
P ( B ) = ( 55 + 32 ) / 107 = 0.8131
hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322
A = failure due to electrical
B = failure due to gas leak
C) Probability of a gas leak given that there is evidence of electrical failure
P ( B / A ) = [tex]\frac{P(BnA)}{P(A)}[/tex]
P ( B ∩ A ) = 0.5140
P( A ) = ( 55 + 17 ) / 107 = 0.6729
hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639
Find the perimeter of the following shape:
Answer:
itas niot hard. its 10+10+7+7. the 9 is meaning if it was a striaghjt line, and that is the length of the straight line.
Step-by-step explanation:
Simplify using Synthetic Division
solve for x -2x + 2 = x -13
Answer:
x = 5
Step-by-step explanation:
Add 2x to both sides: 2 = 3x - 13
Add 13 to each side: 15 = 3x
Divide both sides by 3: 5 = x
Isolate with the variable by dividing each side by factors that don't contain the variable. So, x= 15
Craig has 5/8 of a bottle of glue but the recipe calls for three quarters a bottle. Does he have enough
Answer:
No, he doesn't have enough
Step-by-step explanation:
In eights, three quarters of a bottle is equal to 6/8.
Since 5/8 is smaller than 6/8, Craig won't have enough glue.
So, the answer is no.
Answer:
NO
Step-by-step explanation:
3/4 converted to eighths is 6/8. and 6/8 is greater than 5/8
Write the equation of a line that passes through the point (4, -2) and is perpendicular to y = 3.
Answer:
x = 4
Step-by-step explanation:
When something is perpendicular, it must form a 90° or right angle [it will make a square]. Also keep in mind that perpendicular lines have reciprocal [numerator and denominator switch] slopes [steepness]
If you are given a line with a slope of zero like y = 3, any given line of x will be perpendicular. This is because when y = n; x is undefined. When x = n ; y is undefined. Since you want a line that will go through point (4, -2) and will be perpendicular to y = 3, just set x to the value of x in the coordinate. And in this case x is 4 so x = 4 will be the equation.
What is the value of x in the equation below?
4(x + 1) = 3x +7
Answer:
89
Step-by-step explanation:
Someone help me on question 10 please!
Answer:
Step-by-step explanation:
500÷9=55.56miles/h (correct to 3 decimal places)
HELP PLZZZ EASY AREA MATH
Answer:
4,400
Step-by-step explanation:
wei kiat is 4 times as old as hafiz. Find the ratio of Wei kiat's age to hafiz's age. pls help
The table shows values for functions f(x) and g(x) .
What is the solution to f(x)=g(x) ?
Select each correct answer.
A. −3
B. −2
C. −1
D. 0
E. 1
F. 2
G. 3
There were 10 bunches of roses and tulips. Each bunch had 5 of the same flowers. There were 2 more bunches of tulips than roses. How many tulips were there?
Answer:
I think the answer is 12 (sorry if i misunderstood the question)
Step-by-step explanation:
Because if there are 10 things of roses and tulips and then 2 more tulips are added in the question in total thats 12.... 10+2=12
geometric mean of 384 and 6
Answer:
48 is the geometric mean of 384 and 6
What is the slope-intercept form of this equation?
3x + 9 y = 18
Please. help me guys.
Answer:
40
Step-by-step explanation:
there are 4 quarters so if one quarter is 10 then 4 quarters are 40
10 x 4 = 40
The ratio of 15 and a number.
Answer:
15 to 20
Step-by-step explanation: hope this helps! have a supercalifragilisticexpialidocious day ◑﹏◐
Answer:
15:x or 15 to x
Step-by-step explanation:
it depends on what the question is asking, so if they want you to fill in a number, you could replace x with any number you'd like. but its probably a word problem they want you to put as numbers, so bc you dont know what 'a number' is, you can pick a variable such as x to replace it with.
hope this helps :)
