Answer:
[tex]Probability = 0.4167[/tex]
Step-by-step explanation:
Given
A toss of coin and a roll of 6-sides die
Required
P(Head and Number greater than 1)
First, we list the sample space of the coin:
[tex]Sample\ Space = \{Head, Tail\}[/tex]
From the sample space above:
[tex]P(Head) = \frac{1}{2}[/tex]
Next, we list the sample space of the die:
[tex]Sample\ Space = \{1,2,3,4,5,6\}[/tex]
There are 5 outcomes greater than 1; i.e. 2,3,4,5 and 6.
So:
[tex]P(Outcome> 1) = \frac{5}{6}[/tex]
Lastly, the required probability is calculated as:
[tex]Probability = P(Head) \ and \ P(Outcome>1)[/tex]
Change and to *
[tex]Probability = P(Head) \ * \ P(Outcome>1)[/tex]
Substitute values for P(Head) and P(Outcome > 1)
[tex]Probability = \frac{1}{2} * \frac{5}{6}[/tex]
[tex]Probability = \frac{5}{12}[/tex]
[tex]Probability = 0.4167[/tex]
3x + 2 = -13. Plz help
How do you find the fraction of 0.35
Answer:
[tex] \frac{7}{20} [/tex]
Step-by-step explanation:
0.35 is the same as 35/100
which can be simplified to 7/20
Nevin started a geometric sequence. The first four terms of his sequence are shown below. 162,54,18,6,...
c. What is the sixth term of Nevin’s sequence? Show or explain how you got your answer.
d. Write an expression that represents the nth term of Nevin’s sequence.
Answer:
0.6667
162/3^(n-1)
Step-by-step explanation:
162,54,18,6,2,0.6667,etc. (the sequence is divided by 3 each time)
what is the solution to 3^x = 5
Answer:
x=1.46497
Step-by-step explanation:
What is the period of y=-3cos(1/4x)
Answer:
Step-by-step explanation:
The standard form is y = a cos(bx + c) + d
the amplitude = |a| = 3
The period = [tex]\frac{2\pi }{b}[/tex] = [tex]\frac{2\pi }{\frac{1}{4} }[/tex] = [tex]8\pi[/tex]
the dimensions of a triangular prism are shown below what is the volume of the prism in cubic feet
Answer:
B. 192.5 ft³
Step-by-step explanation:
To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).
(5 * 7 * 11)/2
Multiply 5 by 7 to get 35.
(35 * 11)/2
Multiply 35 by 11 to get 385.
385/2
192.5 ft³ is the volume of this triangluar prism.
Graph the line with the equation y
4x +4.
10
9
8
9
5
4
2
-
-8
-6
5
-3
1
3
4
5
6
8
9
-3
-6
-
Answer:
+4
4
rhe correcr answer graph it...
y =bx² make x the subject
Answer:
[tex] x = \sqrt {y}{b} [/tex]
Step-by-step explanation:
Given the algebraic expression;
[tex] y = bx^{2} [/tex]
To make x the subject of formula.
We would divide both sides by b;
[tex] \frac {y}{b} = x^{2} [/tex]
Taking the square root of both sides, we have;
[tex] x = \sqrt {y}{b} [/tex]
Answer:
[tex]y = b {x}^{2} \\ \frac{y}{b}= {x}^{2} \\ x = \sqrt{ \frac{y}{b} } [/tex]
x=√(y/b) is the right answer.A number, y, is five times another number, x. The sum of the two numbers is 42. Write the system of equations.
Answer:
5x+x=42
6x=42
x=7
Step-by-step explanation:
Answer:
y = 5x
x + y = 42
Step-by-step explanation:
If y is 5 times greater than x, this can be represented by y = 5x
The sum of x and y is 42, so this can be represented by x + y = 42
So, the system of equations will be:
y = 5x
x + y = 42
Dunya randomly chooses a number from 1 to 10. What is the probability she
chooses a number less than 6?
Answer: 1/2
Step-by-step explanation:
The numbers that are less than 6 are 1, 2, 3, 4, and 5. Thus simply means that there are 5 numbers that are less than 6.
The probability that she chooses a number less than 6 will then be:
= 5/10
= 1/2
Answer:
1/2
Step-by-step explanation:
1/2
A town has 200 people. The population increases by a factor of 1/10 every year. How
many people will there be next year?
Answer:
220 people
Step-by-step explanation:
200 x 1.10 = 220
How should I start to complete the equation????
Answer:
Find the slope and the y-intercept
Step-by-step explanation:
To find slope, use the equation [tex]\frac{y-y}{x-x}[/tex]. First, find two points on the line that are near each other and are whole numbers. Then you substitute the points into the equation. So for example, if I had the points (0,0) and (1,2), the substitution would be:
[tex]\frac{2-0}{1-0}[/tex]
To find the y-intercept, find where the line crosses over the y-axis. Then put in the y value.
If you do not know where to put slope and y-intercept:
y=mx+b
m=slope
b=y-intercept
slope= output/input
Answer:
the answer may vary, seeing as you could use any of the coordinates, but in my case i got : y = -1/2 + 4
Step-by-step explanation:
formula : y = mx + b
to find your ' b ' you had to determine where the y intersects. in this case, it intersected on positive four.
to determine your m, you have to subtract two of the plotted coordinates from each other, in my case it was (-2,5) and (4,2)
y2 - y1
-----------
x2 - x1
2 - 5
--------
4 - ( -2 )
-3
-----
6
WHICH MEANS
m = -1/2
The quantities and y are proportional.
2
y
5.8
5.8
7.5
7.5
11.2
11.2
Find the constant of proportionality (r) in the equation y = rr.
Answer:
r = 1
Step-by-step explanation:
We know that x and y are proportional, with the the equation y = rx representing the proportional relationship. Where r = constant of proportionality
Thus the constant of proportionality would be:
r = y/x
Using any of the given pair of values from the table, say (5.8, 5.8),
r = 5.8/5.8
r = 1
Can someone answer number 3 and 4 for me please? :))
Answer:
3. Yes, because 160 / 4 = 40 and 120 / 3 = 40.
4. 10, because 24 / 12 = 2 and 20 / 2 = 10
Answer:
3. David and Aryana use their phones at the same rate.
4.10 parts of water to 20 parts of cornstarch.
Step-by-step explanation:
3. First, you have Aryana who uses 160 mins in 4 days. Then there is David who has 120 minutes in 3 days. You want to divide the minutes by days to see how many minutes per day they use their phone. 160/4=40 120/3=40. David and Aryana use their phones at the same rate.
4. First, you have 24c to 12w (c is cornstarch and w is water). If you want to find 20c and what w is, you need to make c into a smaller number. What I mean is that you need to divide the equation as low as it can go, this one happening to be 12. So you do 24 to 12/12 = 2c to 1w. You then multiply the number back up to twenty. so 2*10 = 20 1*10=10. Your final answer is 10 parts of water to 20 parts of cornstarch.
help me with this please
Answer:
Inverse variation
Step-by-step explanation:
Multiply (3x+2)(x-5)
Answer:
The answer is 3x^2-13x-10
Step-by-step explanation:
Answer:
3x^2-13x-10
Step-by-step explanation:
(3x+2)(x-5)
3x^2-15x+2x-10
3x^2-13x-10
I need help ASAP I’ll mark you brainliest if you answer
Answer:
It's B
Step-by-step explanation:
00:00
Mr. Williams is making wooden toy trucks for a craft show. He has 85 pieces of wood for the trucks
Each truck requires 6 pieces of wood.
Answer:
I need Help on this one too.
Step-by-step explanation:
Answer:
He can make 14 trucks
Step-by-step explanation:
Nick walks 8 miles in 3 hours,and braylon walks 16 miles in 6 hours.what is the unit rate per hour
Answer: 2.6
Step-by-step explanation:
Answer:
nick: 2.6/1
Braylon: 2.6/1
Step-by-step explanation:
they have the same unit rate per hour
is (2,17) a one solution, no solution, infinite solution,or two solution
Answer:
one solution
Step-by-step explanation:
because it's a gksbn smksidihdbd jaiaigsvs j
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?
150 meters
150 meters
210 meters
210 meters
900 meters
900 meters
22,500 meters
DEF is a straight line. CE = CF. Find the size of the angle marked y.
Answer:
55
Step-by-step explanation:
13. Let f(x) = 5x + 10 and g(x) = 2*
a) Find f(2)
b) Find g(2)
c) Find f(2) + g(2)
Answer:
A) f(2) = 20
B) g(2) = 2
C) f(2) + g(2) = 22
Step-by-step explanation:
For part A, you change the x to become 2, to have the equation of 5(2)+10. You then solve in order to get 20.
For part B, I'm not exactly sure what the equation is, but you do the same thing for part A. Since there is no x variable then just keep the answer you have. Meaning it is 2
Finally, part C is adding your answers from part A and part B to get the final answer of 22.
At a local fitness center, gym members pay $3 per workout with an annual membership fee of $140. Non-members pay $10 per workout. If you plan on working out an average of twice a month for the next year, is a membership worth the investment? Show your thinking
PLEASE HELP
Answer:
Yes the membership is worth it. If you have a membership you will pay $140 for the whole year. Then, it is $3 everytime you workout and if you plan on working out 2 times a month the total will be $72 dollars. So $72 + $140 is $212 yearly. If you don't get the membership you pay $20 a month because you will workout twice a month. So, 20 times 12 is $240. It may seem like it's not worth it but it actually comes out cheaper. So, yes I do think the membership is worth it.
Step-by-step explanation:
Hope you find this helpful. If you have questions feel free to ask.
A drawing has been enlarged using a scale of 1inch = 1.5 inches.if the original drawing was 4.6inches long , how long is the is the enlargement?
Answer:
6.9 inches
Step-by-step explanation:
From the above question:
Scale =
1 inch = 1.5 inches
Original drawing = 4.6 inches
Hence:
1 inch = 1.5 inches
4.6 inches = x
Cross Multiply
x = 4.6 × 1.5 inches
x = 6.9 inches.
Therefore, the length of the enlargement = 6.9 inches
Can somebody help? I'll give brainliest.
A. 110 angle.
B. 70 angle.
C. 180 mm side length.
D. 70 mm side length.
Answer:
It would be B
Step-by-step explanation:
You look at what number the top of the arrow is at.
What is the equation of the line that passes through the point (−2,1) and has a slope of -5/2
Answer:
You need to make turn this information into slope intercept form: y = mx + b. The m is your slope, the b is your y-intercept. x and y represents the coordinates that the line passes through. Make y = 1, make m = -2, and make x = 2, and you will get: 1 = -2(2) + b. When you simplify, you get 1 = -4 + b, add 4 to both sides and you'll get 5. So my equation is y = -2x + 5. Remember the -2 came from the slope! To get b, substitute the (2,1) in for (x,y) in the equation.
Step-by-step explanation:
Pls help I’ll mark u if ur right
Answer:
dividing by 1000
Step-by-step explanation:
Calculate and express your answer in decimal form.
a. 1/2 • 17
b. 3/4 • 200
c. (0.2) • 40
d. (0.25) • 60
an electronic motor that's rated 5 horsepower can produce blank in equivalent A) 0.007 watts B) 5 watts a C) 17.05 watts D) 3730 watts
Answer: D) 3730 watts
Step-by-step explanation:
We know the relation:
1 horsepower = 745.7 watts
Then a rated 5 horsepower is 5 times 745.7 watts, this is equal to:
5*745.7 watts = 3728.5 watts
We can round it up to 3730 watts (the nearest tens) so it matches with one of the options.
From this, we can conclude that the correct option is option D; 3730 watts
