Answer:
42
Step-by-step explanation:
S1 let a and b be the digits of the number
so a 2 digit number cab written as - 10×a + b
eg - 68 as 6×10 + 8
S2 ) according to ques
a + b = 6 - eqn 1
(10×a + b) - (10×b + a) = 18
9×a - 9×b = 18
a - b = 2 - eqn 2
S3)from eqn 1 and eqn 2
we get a = 4 and b = 2
hence number is 42
Julie sells 80 packets of tea. She makes a profit of $5 on each packet of green tea, and $2 on each packet of black tea. Let g represent the the number of packets of green tea. Identify an expression that represents the profit Julie makes selling the tea packets. Then identify the profit she makes if she sells 35 packets of green tea.
Answer:
160 + 3 g; $265
Step-by-step explanation:
Which expression is equivalent to r9/r3?
r⁹/r³ = r⁶ (because 9 - 3 = 6)
a^m : a^n = a^{m - n}
Answer:
Option B. r ^ 6
Step-by-step explanation:
r^9 / r^3
= r ^ 9 - 3
= r ^ 6
Which equation has the solution to x = 3?
A. 2x - 8 = 5
B. 9x + 4 = -3
C. 6x - 9 = 57
D. 5x - 9 = 6
solve v^2 = 47. need this answer asap
Solve the following inequality for q. Write your answer in simplest form.
4q+5 > 69 - 7
Answer:
4q + 5 > 69 - 7
4q + 5 > 62
4q > 47
q > 11.75
Answer:
q> 57/4
Step-by-step explanation: hope it helps
1. What is the sample space if you roll two dice? What is the probability of rolling a sum of 7?
2. You and a friend go to a restaurant where you both order a soup and a salad. There are four soups (A, B, C, D) and 3
salads (1, 2, 3) to choose from. If you and your friend decide to get completely unique meals, what is the sample space
of possible orders you can make?
3. Give 3 examples of disjoint events.
4. The probability that Bob gets to work on time is 80%. The probability that Sarah gets to work on time is 90%. The
probability that they're both on time is 72%. What's the probability that Bob OR Sarah is late for work?
5. Jake's Pizza Place is offering a deal where they'll deliver your pizza in under 30 minutes or your pizza is free. They
manage to deliver the pizza in under 30 minutes 92% of the time. What's the probability that you'll get your pizza for
free?
6. The probability that a randomly selected student in our class likes soccer is 54%. If we select 3 random students
from our class, what is the probability that all of them like soccer?
7. The probability that a randomly selected student in our class likes soccer is still 54%. If we select 4 random students
from our class, what is the probability that all of them don't like soccer?
8. There are 6 blue marbles, 5 red marbles, and 4 green marbles in a box. If you pull a green marble out of the box, what
is the probability that the next marble you draw is red?
9.60% of students in a class studied for a test AND got an A on that test. 75% of students studied for the test. What is
the probability that a student got an A given that they studied for the test?
Probabilities are used to determine how likely it is for an event to happen.
(1) A roll of two dice
Let the dice be A and B. The sample space of each is:
[tex]A = \{1,2,3,4,5,6\}\\B = \{1,2,3,4,5,6\}[/tex]
To get the sample space (S) of the sum of the dice, we simply add up the individual element of both dice. So, we have:
[tex]S = \{(1+1),(1+2),(1+3),(1+4),(1+5),(1+6),.............,(6+1),(6+2),(6+3),(6+4),(6+5),(6+6)\}[/tex]
This gives
[tex]S = \{2,3,4,5,6,7,.............,7,8,9,10,11,12\}[/tex]
The complete sample space is:
[tex]S = \{2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12\}[/tex]
[tex]n(S) = 36[/tex] --- the total outcomes
The probability of rolling a sum of 7 is:
[tex]P(7) = \frac{n(7)}{n(S)}[/tex]
Where
[tex]n(7) = 6[/tex] ---- number of 7's in the sample space
So, we have:
[tex]P(7) = \frac 6{36}[/tex]
[tex]P(7) = 0.167[/tex]
The probability of rolling a sum of 7 is 0.167
(2) Restaurant
We have:
[tex]Soup = \{A,B,C,D\}[/tex]
[tex]Salads = \{1,2,3\}[/tex]
To get the sample space (S), we simply pick the individual elements of the above data. So, we have:
[tex]S = \{A1, A2, A3,B1, B2, B3,C1, C2, C3,D1, D2, D3\}[/tex]
(3) Disjoint events
Events are said to be disjointed if they cannot happen at the same time. 3 examples are:
Event 1: You are in China. Event 2: You are in NigeriaEvent 1: Heading towards north. Event 2: Heading towards southEven 1: Outcome of even number in a roll of die. Event 2: Outcome of an odd number in the same die(4) Bob and Sarah
Let
[tex]A \to[/tex] Bob gets to work on time
[tex]B \to[/tex] Sarah gets to work on time
[tex]P(A) = 80\% \\ P(B) = 90\%\\P(A\ n\ B) = 72\%[/tex]
The probability that Bob OR Sarah is late for work is represented as:
[tex]P(A'\ or\ B')[/tex]
This is calculated using:
[tex]P(A'\ or\ B') = P(A') + P(B') - P(A'\ n\ B')[/tex]
Where:
[tex]P(A') = 1 - P(A) = 1 - 80\% = 20\%[/tex]
[tex]P(B') = 1 -P(B) = 1 - 90\% =10\%[/tex]
[tex]P(A\ n\ B') = P(A) \times P(B') = 20\% \times 10\% = 2\%[/tex]
So, we have:
[tex]P(A'\ or\ B') = P(A') + P(B') - P(A'\ n\ B')[/tex]
[tex]P(A'\ or\ B') = 20\% + 10\% - 2\%[/tex]
[tex]P(A'\ or\ B') = 28\%[/tex]
[tex]P(A'\ or\ B') = 0.28[/tex]
The probability that Bob OR Sarah is late for work is 0.28
(5) Jake's Pizza
Let
[tex]A \to[/tex] The proportion of time they deliver on time
[tex]B \to[/tex] You get your pizza for free
So:
[tex]P(A) = 92\%[/tex]
You get your pizza for free if they didn't deliver within 30 minutes.
This means that:
[tex]P(B) = 1 - P(A)[/tex] --- Complement rule
So, we have:
[tex]P(B) = 1 - 92\%[/tex]
[tex]P(B) = 0.08[/tex]
The probability that you get your pizza for free is 0.08.
(6) Students and Soccer
Let:
[tex]A \to[/tex] Probability that a student likes soccer
So:
[tex]P(A) = 54\%[/tex]
If all 3 selected students like soccer, the probability is calculated as:
[tex]Pr = P(A) \times P(A) \times P(A)[/tex]
[tex]Pr = P(A)^3[/tex]
[tex]Pr = 54\%^3[/tex]
[tex]Pr = 0.157[/tex]
The probability that all 3 selected students like soccer is 0.157
(7) Students and Soccer
Let:
[tex]A \to[/tex] Probability that a student likes soccer
[tex]B \to[/tex] Probability that a student does not like soccer
So:
[tex]P(A) = 54\%[/tex]
[tex]P(B)= 1 - P(A)= 1 - 54\% = 46\%[/tex] ---- Complement rule
If all 4 selected students do not like soccer, the probability is calculated as:
[tex]Pr = P(B) \times P(B) \times P(B) \times P(B)[/tex]
[tex]Pr = P(B)^4[/tex]
[tex]Pr = 46\%^4[/tex]
[tex]Pr = 0.045[/tex]
The probability that all 4 selected students do not like soccer is 0.045
(8) Marbles
[tex]Blue = 6 \\ Green = 4 \\ Red = 5[/tex]
When the green marble is selected, we are left with
[tex]Blue = 6 \\ Green = 3 \\ Red = 5[/tex]
The probability of selecting a red marble at this point is:
[tex]P(Red) = \frac{Red}{Blue + Green + Red}[/tex]
[tex]P(Red) = \frac{5}{6+3+5}[/tex]
[tex]P(Red) = \frac{5}{14}[/tex]
[tex]P(Red) = 0.357[/tex]
The probability that the next marble you draw is red is 0.357
(9) Studying for test
Let
[tex]A \to[/tex] Students got an A
[tex]B \to[/tex] Students studied for test
So:
[tex]P(A\ n\ B) = 60\% \\ P(B) = 75\%[/tex]
The probability that a student got an A given that they studied for the test is represented as:
[tex]P(A | B)[/tex]
So, we have:
[tex]P(A | B) = \frac{P(A\ n\ B)}{P(B)}[/tex]
[tex]P(A | B) = \frac{60\%}{75\%}[/tex]
[tex]P(A | B) = 0.80[/tex]
The probability that a student got an A given that they studied for the test is 0.80
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Evaluate -5x + 4
When x = -3
Answer:
19.
Step-by-step explanation:
-5x + 4
-5(-3) + 4
15 + 4
19
Hey there!
-5x + 4
= -5(-3) + 4
= 15 + 4
= 19
Therefore, your answer is: 19
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
On Friday the farmers market sold 26 pounds of apples. On Saturday they sold 7 times that amount. On Sunday they sold 32 pounds of apples. How many pounds of apples were sold over these 3 days?
Answer:
240
Step-by-step explanation:
26+(26×7)+32
26+182+32
208+32
240
In 3 days 240 pounds apples sold.
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:
On Friday= 26 pounds Apples sold.
On Saturday = 7 x 26= 182 pounds apples sold.
On Sunday = 32 pounds
Then, In three days total pounds of apples sold
= 26 + 182 + 32
= 240 pounds
Hence, in 3 days 240 pounds apples sold.
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sin 0 = -3/5
and cos 0 > 0. Identify the quadrant of the terminal side of O and find cos 0.
Answer:
See below.
Step-by-step explanation:
Cos O is positive in the first and 4th quadrants and sin O is negative in the 3rd and 4th quadrants.
So the answer is Quadrant 4.
cos^2 O = 1 - sin^2 O
= 1 - (-3/5)^2
= 16/25
So cos O is +√(16/25)
= 4/5.
Solve for b
y=mx+b
Let me know
Answer:
the answer is A i think
Step-by-step explanation:
hope it helps
Answer: b = y - mx
Step-by-step explanation:
y = mx + b
subtract mx from both sides: y - mx = b
b = y - mx
Solve for x. fx - gx = h
Answer:
x = h / f - g
Step-by-step explanation:
fx−gx = h
x(f−g) = h
/ (f-g) / (f-g) divide both sides by (f−g)
---------------------
x = h / f - g
The solution for x in the given equation is x = h / (f - g).
To solve for x in the equation fx - gx = h, we need to isolate the variable x.
First, to combine like terms on the left side of the equation.
fx - gx can be rewritten as (f - g)x.
So the equation becomes (f - g)x = h.
Next, to isolate x, we can divide both sides of the equation by (f - g).
x = h / (f - g).
Therefore, the solution for x is x = h / (f - g).
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Tìm x, y, z biết x(x+y+z )=-5; y(x+y+z )=9;7(x+y+z )=5
Answer:
Step-by-step explanation:
Có: 7(x+y+z)=5
=>x+y+z = 5/7 (1)
Lại có:
+) y(x+y+z)=9
=>y×5/7=9
y=9: 5/7
y=63/5 (2)
+) x(x+y+z)=-5
=>x×5/7=-5
x=-5:5/7
x=-7 (3)
Từ (1);(2) và (3) => -7+63/5+z =5/7
=>28/5+z=5/7
=>z=-171/35
Vậy ....
Find the sum of all the integers from 1 to 100 inclusive that are not
Multiples of 7.
Step-by-step explanation:
[tex]\text{Denote The sum of all the integers from 1 to 100 inclusive that are NOT multiples of 7 as } S.[/tex]
[tex]\text{Denote The sum of all the integers from 1 to 100 inclusive that are multiples of 7 as } P.[/tex]
[tex]\text{Denote The sum of all the integers from 1 to 100 inclusive as } Q.[/tex]
Then
[tex]\begin{align}S&=Q-P\\&=\frac{100(100+1)}{2}-(7+2\cdot7+\ldots+14\cdot7)\\&=\frac{100(100+1)}{2}-7\cdot\frac{14(14+1)}{2}\\&=4315\end{align}[/tex]
it takes 4 people 2 days to build a wall. how long will it take for 2 poeple to build the same wall?
What key features does the factored form of quadratic function reveal
Answer:
Different key aspects of the graph are revealed by each form. From the vertex form, you can easily determine the vertex, (3, −4). From the factored form, you can easily determine the x-intercepts, 1 and 5. In standard form, the y-intercept is clearly 5.
Step-by-step explanation:
__________________________________________________________
-DarkspiritOwO-
A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.
The factored form of a quadratic function reveals its root.
What is a quadratic function?A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.
We have,
Factor form of a quadratic function.
Factoring quadratics is a way of expressing the quadratic function:
ax2 + bx + c = 0
as a product of its factors as:
(x - k) (x - h),
where h, k are the roots of the quadratic function.
Thus,
The factor form of a quadratic function reveals its root.
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9. The sum, Sn, of the first n terms of a geometric progression is given by Sn = 3" - 1.
(a) the sum of the first 8 terms.
[tex]\boxed{\sf S_n=3^n-1}[/tex]
Now
[tex]\\ \sf\longmapsto S_8=3^8-1[/tex]
[tex]\\ \sf\longmapsto S_8=6561-1[/tex]
[tex]\\ \sf\longmapsto S_8=6560[/tex]
A man is three times as old as his son in 10 years time their combined ages will be 68 how old is each person now person now
Answer:
The dad is 36 and the son is 12
17.6x23
I need the work
Answer:
17.6 × 23 = 404.8
Step-by-step explanation:
hope u like it
Answer:
= 17.6 x 23 Answer = 404.82(3+m) AS A WORD PROBLEM!!!! :)
Answer:
twice the sum of a number and 3
Step-by-step explanation:
twice would be best represented for the 2 in 2(3 + m)
and the sum of a number is m and is being added by 3 so we call it the sum of a number and 3
Which of the following is equal to the opposite of −45?
Answer:
45?
I gots no idea?
Answer:
45
Step-by-step explanation:
Opposite refers to differing signs but the same distance from 0.
Candace is going to order 8 pizza cost $8.95. How much does it cost to buy 8 pizzas?
The equation 2x^2 + x - 1 = 0 has two solutions. Find an equation of the form ax^2 + bx + c = 0, which solutions....
a) are by 5 larger
b) 3 time as large
Can someone please help me with this task? Thank you for your answers!
Answer:
Step-by-step explanation:
Let the solution to
2x^2 + x -1 =0
x^2+ (1/2)x -(1/2)
are a and b
Hence a + b = -(1/2) ( minus the coefficient of x )
ab = -1/2 (the constant)
A. We want to have an equation where the roots are a +5 and b+5.
Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.
The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.
So the equation is
x^2-(19/2)x + 22 =0
2x^2-19x + 44 =0
B. We want the roots to be 3a and 3b.
Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and
(3a)(3b) = 9(ab) =9(-1/2)=-9/2.
So the equation is
x^2 +(3/2) x -9/2 = 0
2x^2 + 3x -9 =0.
5. Select All equations that have a solution of 2"
10 point
4x + 15 = 27
x +6
= 9
3
Option 1
U
Option 2
2(x + 5) = 18
x +9
= 6
2
O
Option 3
Option 4
Answer:
none of these have a solution of 2.
Step-by-step explanation:
4x+ 15 = 27
x=3
x + 6 =3
x = 3
2(x+5)=18
x = 4
x + 9 = 6
x = -3
if my understanding of what the equations are supposed to be please let me know what they are supposed to be, because with the way they are typed it is hard to tell :)
solve the equation -18v = -414
Answer:
v=23
Step-by-step explanation:
-18v = -414
V = -414/-18
v = 23
negative divided by negative equals positive :)
Answer:
[tex] - 18v = - 414 \\ \\ v = \frac{ - 414}{ - 18} \\ \\ v = \frac{ 414}{ 18} \\ \\ v = 23[/tex]
I hope I helped you^_^
What is the image point of (-4,2)(−4,2) after a translation left 1 unit and down 2 units?
Answer
I think it's going to be (-5,0)
Step-by-step explanation:
Answer the question please
Sam has 2 apples and bob has 5 apples bob gives Sam 2 apples how many apples does bob have now?
Answer:
Bob has 3 apples
.......
Simplify by using order of
operations.
Answer: 5
Step-by-step explanation:
12/6+12+3/5
2+12+3/5
2+15/5
2+3
5
Solve for the value of V
Answer:
0.362°
Step-by-step explanation:
hope this helps you
The value of v in the figure is 14
How to determine the value of v?The angles on a straight line add up to 180 degrees.
So, we have:
4v + 90 + 34 = 180
Subtract 90 from both sides
4v + 34 = 90
Subtract 34 from both sides
4v = 56
Divide both sides by 4
v = 14
Hence, the value of v in the figure is 14
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hey guys need help again
Answer:
Coordinates = (-6,-4)
Step-by-step explanation:
Move the point 4 units to the LEFT
Then move the point 6 units DOWN
It should be like the picture I attached
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
