Answer:
a
Mutually exclusive
b
Not Mutually exclusive
c
Not Mutually exclusive
d
Not Mutually exclusive
Step-by-step explanation:
From the question we are told that
The number of bolt is n = 12
The event that all the bolt are torqued correctly is A
The event that the 3rd bolt is not torqued correctly is B
The event that exactly one bolt is not torqued correctly is C
The event that the [tex]4^{th}[/tex] and [tex]8^{th}[/tex] are torqued correctly is D
Generally for an event to be mutually exclusive it means that both event can not occur at the same time
Considering a
The A and B are mutually exclusive because they can not occur at the same time
Considering b
The event B and D are not mutually exclusive because they can occur at the same time
Considering c
Event C and D are not mutually exclusive because they can occur at the same time
Considering d
Event B and C are not mutually exclusive because they can occur at the same time
Circle YES or NO The terms -5x and 5x are like terms.
Answer:
YES
Step-by-step explanation:
Answer:
yes!
Step-by-step explanation:
x are still the same term whether they are negative or not! Good Luck!
Solve for a. 3(a+3)+6=30
Answer:
a = 5
General Formulas and Concepts:
Order of Operations: BPEMDAS
Properties: Distributive, etc.
Step-by-step explanation:
Step 1: Write equation
3(a + 3) + 6 = 30
Step 2: Solve for a
Distribute 3: 3a + 9 + 6 = 30Combine like terms: 3a + 15 = 30Subtract 15 on both sides: 3a = 15Divide 3 on both sides: a = 5Step 3: Check
Plug in a to verify it's a solution.
Substitute: 3(5 + 3) + 6 = 30Add: 3(8) + 6 = 30Multiply: 24 + 6 = 30Add: 30 = 30Answer the following question. What is 6x-7-12x+3?
Answer:
-6x-4
Step-by-step explanation:
Combine 6x and −12x to get −6x.
−6x−7+3
Add −7 and 3 to get −4.
−6x−4
Answer:
-6x-4
Step-by-step explanation:
6x-12x
-6x
-7+3
-4
-6x-4
At Supply World, 4 pens cost $10.00. How much do 3 pens cost if the price per pen is the same
Answer: $7.50
Step 1: Divide.
10 ÷ 4 = 2.50
Step 2: Multiply.
2.50 × 3 = 7.50
The answer is 7.50
Solve the equation 7 minus 2X equals 19
Answer: x=-6
Step-by-step explanation:
Answer:
x=-6
Step-by-step explanation:
Put it in an equation,
7-2x=19
Solve for x
Subtract 9 on both sides
-2x=12
Divide -2 on both sides
x=-6
Katie deposited $1,000 in the bank for 7years. She earned a simple interest rate of 2.5%. How much interest did she earn? Round your answer to the nearest cent.
Answer:
$188.69
Step-by-step explanation:
1000 x 1.07^7 = $1188.69
1188.69-1000 = $188.69
Answer:
i will say $188.69
Step-by-step explanation:
hope i helped u and hope to get a Brainliest
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Suppose the dimensions of your dining room are 12 feet by 14 feet. You purchase a rectangular table that is 7 feet by 9 feet. After you put the table in the dining room, how much space is left in the dining room (in square feet)?
7 x 9 = 63
12 x 14 = 274
add them together and you gey the total space left
Please help quick
Divide polynomials using long division
(13q–91)÷(q–7)
Answer:
13
Step-by-step explanation:
q-7 can go into 13q-91 thirteen times.
Set up the long division sign with the q-7 on the outside and the 13q-91 inside.
Then, notice that to get to 13, you multiply the q and 7 by 13. This gets both terms to 13q and 91, which cancel out the numbers inside the long division sign.
10.2 is 21.25% of what number?
Answer: 48
Step-by-step explanation: Using proportions
48 is the number whose 21.5 percent is 10.2 .
What is percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100.
How to convert a percentage into a number?Divide the given percentage by hundred to convert it into a number.
Let x be a number whose 21.5% is 10.2.
Therefore,
[tex]\frac{21.25}{100} (x) = 10.2[/tex]
⇒ [tex]21.25x = 10.2(100)[/tex]
⇒[tex]21.25x = 1020[/tex]
⇒[tex]x = \frac{1020}{21.25}[/tex]
⇒[tex]x = 48[/tex]
Hence, 48 is the number whose 21.5 percent is 10.2.
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-5(x+2)+3x= Which expression can be written in the box on the other side of the equation
Answer:
O-2(x+5)
Step-by-step explanation:
I have to much time on my hands
Answer:
-2x-10
Step-by-step explanation:
-5(x+2)+3x=
Distribute
-5x-10 +3x
Combine like terms
-2x-10
Tim read 70% of his book containing 230 pages how many pages does he have left
69 Pages are left to read by Tim.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total pages= 230
Percentage of reading = 70%
So, number of Pages Tim reads
= 70 /100 x 230
= 161 pages
Hence, number of pages left = 230- 161 = 69 pages
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Question 5 (1 point)
A rectangle has a length of x + 7 and a width of x - 2. Write an
equation that describes the area, A, of the rectangle in terms of
Ob
A = 2x + 5
A = x2
+ 9x - 14
A = 2x + 9
ос
Od
A=x²+.
= x + 5x – 14
Answer:
A = x^2 + 5x - 14
Step-by-step explanation:
A = L × W
A = (x+7) × (x-2)
A = x^2 + 7x - 2x - 14
Janice is roller skating at a constant speed away from her house. The first half of the street is flat, but the second half has a steep upward hill. Janice moves more slowly as she skates up the hill.
Which graph shows Janice's position as she roller skates away from her house?
A. Z
B. X
C. W
D. Y
Answer:
It's Z.
Step-by-step explanation:
Because the road is straight at first, then it gets steep.
which means that the road goes down,
kinda like a drop off.
Answer:
Y moving quicker, then moving slower rate
67 times a number minus 65 is equal to -4 less than the number
Answer:
Translation is 67x-65=x-4, you can use any variable for the number.
Step-by-step explanation:
Identify the binomial
Step-by-step explanation:
where are the numbers?
Thirty pounds of lemon drops are to be mixed with cherry chews to make a mixture that will sell for $1.60 per pound. How much (in Ib) of the more expensive candy should be used? See the table.
NEED HELP GIVING 20 POINTS
Answer:
-5
Step-by-step explanation:
Just substitute the values and use a calculator to solve.
What does the grid represent
Answer:
0.030
Step-by-step explanation:
I don't really know how to explain this one, sorry.
Hope this helps! (✿◕‿◕✿)
[tex]\tt Step-by-step~explanation:[/tex]
We have to find out what the shaded regions represent. We can count up ten rectangles in total, and three of them are shaded. We take the amount of shaded rectangles over the total amount to get [tex]\tt \frac{3}{10}[/tex] as a fraction, and 0.3 as a decimal.
[tex]\tt First~option:[/tex]
The first choice is 0.300. The zeroes at the end of the number do not mean anything, so we can simplify it to 0.3. 0.3 is equal to 0.3, so this is not the answer.
[tex]\tt Second~ option:[/tex]
The second choice is 0.30. Again, we can simplify it to 0.3. We can see that it is equivalent to 0.3, so this is not the answer, either.
[tex]\tt Third~option:[/tex]
Our third choice is 0.3. 0.3 = 0.3, so this is not our answer either.
[tex]\tt Fourth ~option:[/tex]
Our final choice is 0.030. Take out the last zero to get 0.03. 0.03 is equal to [tex]\tt \frac{3}{100}[/tex], so this is our answer, since it is not 0.3.
[tex]\large\boxed{\tt Our ~final~answer:~Last~option:~0.030}[/tex]
2 ton of rocks cost $2,920.00. What is the price per pound?
Answer:
$0.73 per pound
Step-by-step explanation:
2920 divided by 4000 (2 tons is 4000 pounds) equals 0.73
Simplify (x^2/7)^3/4
Answer:
(x^2)^(3/4)/7^(3/4)
Step-by-step explanation:
Round 3528003 to the nearest million
Answer:
it would be rounded to about 4028003
Step-by-step explanation:
Answer:
4,000,000
Step-by-step explanation:
The gift box is 10 cm x 12 cm x 3 cm what is the volume of the box
Answer:
volume = L*B*H
Step-by-step explanation:
SO,
Volume of the box = L*B*H
OR, Volume of the box = 10*12*3
thus, Volume of the box =360
The circumference of a circular region is shown. What type of number best describes the diameter of the
circle. Complete the explanation.
л mi
"
numbers best describes the situation.
TI
The diameter is = = 1 mile, so the set of integer
TI
real
irrational
integer
whole
10 times the quotient of 6 and 3
Answer:
20
Step-by-step explanation:
because first you do 6/3 because thats what quotient means which equals to 2 and then you do 10*2 which gives you 20
a(x+y)-a(x-y) simplified .
Answer:
2ay
Step-by-step explanation:
a(x+y)-a(x-y)
Distribute
ax +ay - ax + ay
Combine like terms
2ay
Work Shown:
a(x+y)-a(x-y)
ax+ay-ax+ay
(ax-ax)+(ay+ay)
(0ax)+(2ay)
0+2ay
2ay
Determina la ecuación de recta de una recta en su forma estándar, tal que contiene al
punto(3,-4) y es paralela a la recta que pasa por (0,2) & (3,1).
If f(x) = 22 – 4x – 5, find the following:
a. f(-2)
b. f (10)
.c. f(0)
Answer:
a.25
b.-23
c.17
Step-by-step explanation:
Plug each value in for x and solve
Find the value of x in each case:
Answer:
KLP=54, LPM=18, PMN=108
Step-by-step explanation:
x+3x+2x+72=180
6x=108
x=18
3x=54
x=18
2x+72=108
True statement about parallelogram
All four sides are congruent.
Answer:
a parallelogram is a simple non-self-intersecting quadrilateral with two pairs of parallel sides.
Step-by-step explanation:
Calculate the product 78.93 x 32.45
Answer:
The answer is 2 561,2785 !!!
The required value is 2,556.2785 which is determined by the multiplication operation.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
The numbers are given in the question, as follows:
78.93 and 32.45
To calculate the product of 78.93 and 32.45, you can use the standard multiplication algorithm.
78.93 x 32.45
Apply the multiplication operation, and we get
2,556.2785
Thus, the required value is 2,556.2785.
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