Step-by-step explanation:
Correct answer:
(The primes between 40 and 50 are 41, 43, and 47 - three.
PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula
2x ( x - 2x) = 1
2x= 1
x = 0.5
x-2x = 1
-x = 1
x = -1
In a game, you toss a fair coin and a fair six-sided die. If you toss a heads on the coin and roll either a 3 or a 6 on the die, you win $30. Otherwise, you lose $6. What is the expected profit of one round of this game?
Using probabilities, it is found that the expected profit of one round of this game is of $0.
A probability is the number of desired outcomes divided by the number of total outcomes.
One of the two sides of the coin are heads.2 of the 6 sides of the dice are 3 or 6.Hence, since the coin and the dice are independent, the probability of winning is:
[tex]p = \frac{1}{2} \times \frac{2}{6} = \frac{1}{6}[/tex]
The expected value is the sum of each outcome multiplied by its respective probability.
In this problem:
[tex]\frac{1}{6}[/tex] probability of earning $30.[tex]\frac{5}{6}[/tex] probability of losing $6.Then:
[tex]E(X) = 30\frac{1}{6} - 6\frac{5}{6} = 5 - 5 = 0[/tex]
The expected profit of one round of this game is of $0.
A similar problem is given at https://brainly.com/question/24855677
at edgars bakery one customer buys 4 donuts and 10 muffins for $32. Another customer buys 12 donuts and 5 muffins and pays $21.
x=price of donut
y=price of muffin
1. Write an equation to represent the first customer
2.write an equation to represent the 2nd customer
3.solve system of equations
Based on the information given, the price of donut will be 1.5 and the price of muffin is 3.8.
The equation to represent the first customer is 4x + 10y = 32
The equation to represent the 2nd customer is 12x + 5y = 21
Solving the equations will be:
4x + 10y = 32 ...... i
12x + 5y = 21 ......ii
Multiply equation i by 12
Multiply equation ii by 4
48x + 120y = 384
48x + 20y = 84
100y = 380
y = 380/100 = 3.8
Therefore, we'll find the value for x which will be:
4x + 10y = 32
4x + 10(3.8) = 32
4x = 32 - 38
4x = -6
x = -1.5
Therefore, the price of donuts will be 1.5 and the price of muffin is 3.8.
Read related link on:
https://brainly.com/question/24429956
How
many different possible outcomes are there if you spin 6 spinners labeled Red,
Blue, Yellow?
Answer:
Step-by-step explanation:
problem referred below
pls help
Answer:
B
7 less than 3 times a number (X) is (3x-7), and then the sum of these two numbers means we have (3x-7)+X, and then we know this equals 109, leaving us with:
(3x-7)+x = 109
math help me please n
Answer:
Step-by-step explanation:
21x1/12=1.75 cm
1.75x10=17.55 mm
17.55 mm
a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?
Answer:
7feet I hope this help you.
Saturn the ring system around saturn has a diameter of 170000miles. find the circumference of the ring system.
Answer:
534,070.75 miles
Step-by-step explanation:
The circumference formula is [tex]d\pi[/tex] or [tex]2r\pi[/tex].
But since we're given the diameter, 170,000, all we have to do is multiply it by [tex]\pi[/tex].
[tex]170000*\pi = 534070.75 (Rounded)[/tex]
Simplify.
5x+3(x+2)+3
A. 8x + 9
B. 5x + 8
C. 8x + 5
D. 6x + 8
Answer:
A- 8x+9
Step-by-step explanation:
------------------------------------------
5x + 3 (x + 2) + 3
5x + 3x + 6 + 3
8x + 6 + 3
8x + 9
<3
How long will it take for an investment to triple in value if it earns 81% compounded continuously? Round your answer to three decimals.
A. 0.678 years
B. 0.856 years
C. 1.356 years
D. 1.366 years
The number of years it would take an investment to triple with continuous compounding is 1.356 years.
The formula for calculating future value of an investment when there is continuous compounding is FV = A x [tex]e^{r}[/tex] x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rateFV = future value FV / A = 3N = log(3) / log(e) / 0.81 = 1.356 years
To learn more about future value, please check: https://brainly.com/question/14640433
is this linear or not?
Answer:
Linear
Step-by-step explanation:
Answer:
NoStep-by-step explanation:
You have the system with two quadratic equations.
Both equations are of degree two.
This is therefore not linear.
sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday ?
Answer:
12x-15 dollars
Step-by-step explanation:
She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.
Will give brainliest if helpful and correct
Answer:
(-2, -1.5)
Step-by-step explanation:
hope this helps!
please answer fully///////////////
Answer:
14
Step-by-step explanation:
(4+(16-1)/5)*2
(4+15/5)*2
(4+3)*2
7*2
14
Solve by factoring
Y^2+5y+6=0
•-3
•4,8
•2,3
•-4,3
Step-by-step explanation:
y²+5y+6=0
y²+2y+3y+6=0
y(y+2)+3(y+2)=0
(y+2)(y+3)=0
:. y=2,3
option C.
hope this helps you.
Answer:
Step-by-step explanation:
Y^2+5y+6=0
5^2 - 4*2*6
25-48
23 i
-5 +4.79i => -0.21 => 0.5i
2*2 4
-5 +4.79i => -9.79 => 2.44i
2*2 4
If a ½ gallon of paint covers ⅙ of a wall, continuing at this rate how much paint is needed for the entire wall?
Answer:
3 gallons
Step-by-step explanation:
On a family trip to Oman, Tarek drove 300 km in 5 hours. This is an example of a unit rate or a rate? Please tell the correct answer.
Answer:
300 km in 5 hours is the rate
unit rate is how much in one unit
in this case the unit is one hour
60km / hour
I really need help. Giving brainliest to the real answer. Please my grade closes tomorrow (don’t mind the writing I tried doing it myself)
Answer:
1. B
2. D
3. E
4. C
5. A
6. F
What is 2x=6 pls answer fasttt
Answer:
×=6/2=3
Step-by-step explanation:
Five more than the difference of two numbers
Answer: (x - y) + 5
Step-by-step explanation: Difference of two numbers means subtraction so we know its x - y. Then, we need five more so addition which means (x - y) + 5.
Would appreciate brainly <3
What is 2x-3 when x=5
Answer:
(2x-3) (x=5)= minus 15
Step-by-step explanation:
i used an advanced calculator
Pease someone help me with this.
I just need two more tiles to create but I don't know how they would look like.
I will show below what I have filled and what the question is asking.
Question: How many different layouts are possible for a path that is five feet long? Draw them all here:
Answer:
go get that girl
Step-by-step explanation:
sike you use what you got the first time
Answer:
If the path is 5 feet long, then you could only have a limited amount of layouts...so- you could only have 5 limited spaces in one layout, making it 5 DIFFERENT LAYOUTS.
(I don't know what they're really asking, but I did what makes sense, SORRY if I'm wrong, I'm going to try and solve it better/draw it.)
What is: 17/21 + 1/3 - 5/7 as a fraction in simplest form?
(Giving brainliest, 5 stars and a thanks)
Answer:
3/7
Step-by-step explanation:
The cost of a ride in a taxi is $2.50 for the first half-mile plus a constant amount per half-mile after that. The sequence below shows the pattern of numbers that appear on the driver's screen.
2.50, 2.75, 3.00. 3.25, 3.50, 3.75
Part A: Write a recursive function that can be used to determine f(x), the cost in dollars, for a ride in the taxi of, x, half-miles.
Answer: 2.50 + 0.35(15.75-1)*4 = $23.15 is the answer
Step-by-step explanation: Hope this helps!
A department store marked down all of its summer clothing 23%. The following week the remaining items were marked down again
15% off the sale price. When Jorge bought two tank tops on sale, he presented a coupon that gave him an additional 20% off. What
percent of the original price did Jorge save?
Answer:
58%
Step-by-step explanation:
35% of a number is what fraction of
that number?
Answer:
1/2
Step-by-step explanation:
because I just took the test
Answer:
Step-by-step explanation:
35/100 = 7/20
solve pls brainliest
Answer:
40
Step-by-step explanation:
What is the equation of the line that passes through the point (2, -6) and
has a slope of – 3/2
-
-
y= -3/2x - 3
putting them firstly in the point slope formula and then distributing ...... I can't really explain what I did so here is the picture
Tutori
A decade ago, the average class size at Belmont Middle School was 30 students. Now it is
40% larger. What is the average class size currently?
PLS HELP
Answer:
42 studentsStep-by-step explanation:
Initial class size = 30 students
Class size now is 40% larger:
30 + 40% = 30 + 30*40/100 = 30 + 12 = 42First let's find larged amount
[tex]\\ \sf\longmapsto 40\%\:of\:30[/tex]
[tex]\\ \sf\longmapsto 0.4(30)[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
Class size=30+12=42students
lin ran 4 laps around the track in 5 minutes, if lin ran 21 laps, how long does it take her
Answer:
26 1/4 minutes or 1635 seconds
Step-by-step explanation:
Lin runs 4 laps in 5 minutes. You must turn this into a unit rate. In order to do this, you divide 4 laps by 4 to get 1 lap. To get the equivalent, you also have to divide 5 minutes (300 seconds) by 4. This will get you one lap for every 75 seconds. Because Lin ran 21 laps, see how many times 4 can go into 20 using a remainder if necessary. 4 can go into 21 5 times with a remainder of 1. 4*5=20 5*5=25. Now you add 75 seconds because you have an extra lap.