Answer:
0.5
Step-by-step explanation:
The probability that the first mouse turns left and the second mouse turns right is 0.5 × 0.5 = 0.25.
The probability that the first mouse turns right and the second mouse turns left is 0.5 × 0.5 = 0.25.
So the probability that only one mouse turns left is:
P = 0.25 + 0.25
P = 0.5
Another way of looking at it: the probability that only one mouse turns left is 1 minus the probability that both turn left or both turn right.
P = 1 − (P(both left) + P(both right))
P = 1 − (0.5 × 0.5 + 0.5 × 0.5)
P = 0.5
An electric motor pumps water into a pool at a rate of 500 liters per hour. After a tune
up, its rate increases by x liters per hour. If the motor now takes 3 hours 19 pump
1800 liters, in which equation does x represent the increase in speed after the tune
up?
A, 500(2+3) 1800
B, 3(500) +2 1800
C. 5002 +3 1800
D, 3(500 + 2) 1800
Answer: 3(500+x)=1800
What is the measure of angle B?
Answer: 97
Step-by-step explanation:
Answer: 78 Degrees
Step-by-step explanation:
To get the answer you must take 180 (the number of degrees in every triangle) and take away 50, and 52. 180 minus 50 is 130 minus 52 is 78
Rivers created a model of her school building.
1 in
5 in.
3 in.
What is the surface area of the model Rivers made?
A. 9 squares inches
B. 31 squares inches
C. 46 squares inches
D. 52 squares inches
Answer:
46 square inches
Step-by-step explanation:
Using the formula: 2(w l+h l+h w)
Answer:
its C
Step-by-step explanation:
Find an
explicit formula for the geometric sequence 120, 60, 30, 15, ....
Answer:
f(n) = 120 * (1/2)^n
Step-by-step explanation:
First the first number is 120, so we get y = 120, then 60/120 = 1/2
So we no the r, or constant rate is 1/2.
After that, we can finish our equation by doing
f(n) = 120 * (1/2)^n
or
y = 120*(1/2)^x
The explicit formula for the given geometric sequence is:
[tex]a_n = 120 \times 0.5^{n-1}[/tex]
We have,
To find an explicit formula for the geometric sequence 120, 60, 30, 15, ...,
we need to determine the common ratio, denoted by 'r'.
To find the common ratio, we divide any term in the sequence by its preceding term.
Let's choose the second and first terms:
r = 60 / 120 = 0.5
Now that we have the common ratio 'r', we can express the nth term of the geometric sequence using the explicit formula:
[tex]a_n = a_1 r^{n-1}[/tex]
where '[tex]a_n[/tex]' represents the nth term of the sequence, '[tex]a_1[/tex]' is the first term, 'r' is the common ratio, and 'n' is the position of the term we want to find.
Using the given sequence, '[tex]a_1[/tex]' is 120, and 'r' is 0.5.
Plugging these values into the formula, we have:
[tex]a_n = 120 \times0.5^{n-1}[/tex]
Therefore,
The explicit formula for the given geometric sequence is:
[tex]a_n = 120 \times 0.5^{n-1}[/tex]
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3(4+6)-16 what does it equal and how did you get the answer
Answer:
14
Step-by-step explanation:
you can do this two ways:
First:
[tex]3(10)-16\\=30-16\\=14[/tex]
Second:
Distribute the 3 first
[tex]\\12+18-16\\=30[/tex]
A triangle has vertices A(-6,3), B(1,5), and C(4,-4). this triangle is dilated with the origin at its center by a scale factor of 4. Write the ordered pair of the new vertices of the new image
Answer:
(8,-3) and (4,5)
Step-by-step explanation:
Which equation represents a proportional relationship that has a constant of proportionality equal to –10? y = x minus 10 y = StartFraction over negative 10 EndFraction y = negative 10 x y = negative 10
Answer:
The correct answer would be C. y = -10x
Step-by-step explanation: We cam eliminate the first two by common sense, that would leave us with options C, and D. The correct answer would be C, the reason it is not D is because D isn't a proportion, y = -10 is just stating that variable y equals -10, whereas, y = -10x represents a proportion.
Answer: the other guy is correct
Step-by-step explanation: it is C i got a 100%
The base is a rectangle so B=l*w. Find the volume.
Answer:
472.5
Step-by-step explanation:
Which equation represents a line that passes through (2. - 1/2) and has a slope of 3?
y-2 = 3(x + 1/2)
y-3 = 2(x + 1/2)
y + 1/2 = 3(x - 2)
y + 1/ 2 = 2(x - 3)
Answer:
y + 1/2 = 3(x - 2) This matches the 3rd answer choice.
Step-by-step explanation:
Use the point-slope formula for the equation of a straight line that passes through the point (h, k) and has a slope of m:
y - k = m(x - h) becomes:
y + 1/2 = 3(x - 2) This matches the 3rd answer choice.
The equation of the line will be y + 1/2 = 3(x – 2). Then the correct option is C.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The slope is 3. Then the equation of line will be
y = 3x + c
If the equation is passing through (2, -1/2). Then we have
-1/2 = 3(2) + c
c = -6 - 1/2
Then the equation will be
y = 3x – 6 – 1/2
y + 1/2 = 3(x – 2)
Then the correct option is C.
More about the equation of line link is given below.
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Using the data below, determine the angle for the part of the pie chart the represents the people who prefer dogs?
Answer:
48
Step-by-step explanation:
The pie chart that represents the people who prefer dogs will have an angle of 172.8 degrees. The correct option is C.
What is a pie chart?A circular statistical visual with slices illustrating numerical proportion is called a pie chart. Each slice's arc length in a pie chart corresponds to the quantity it represents.
The data for the pie chart is given below:-
Dogs 24
Cats 18
Hamsters 5
Fish 3
Total number is = 24 + 18 + 5 + 3 = 50
Angle = 360 / 50 = 7.2
The pie chart that represents the people who prefer dogs will be calculated as:-
Dogs = 7.2 x 24 = 172.8 degrees.
The pie chart is attached with the answer below.
Therefore, the pie chart that represents the people who prefer dogs will have an angle of 172.8 degrees. The correct option is C.
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What is the side lengths of volume=343 cm and side lengths of 729 cm
Answer:
Volume = 343 - Length: 7, Width: 7, Height: 7
Volume = 729 - Length: 9, Width: 9, Height: 9
Step-by-step explanation:
Assuming that the shapes are rectangular prisms.
A curve is describe by the following parametric equations:
x=3+t, y=t^2-4
Which statement best describes the curve?
A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.
B. The curve is a parabola with a vertex at (3,-4) and is traced from right to left for increasing values of t.
C. The curve is a parabola with a vertex at (-3,4) and is traced from left to right for increasing values of t.
D. The curve is a parabola with a vertex at (-3,4) and is traced from right to left for increasing values of t.
Answer:
A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.
Step-by-step explanation:
x = 3 + t
y = t² − 4
Eliminating the parameter:
t = x − 3
y = (x − 3)² − 4
This is an upwards parabola with a vertex at (3, -4).
x = 3 + t, so as t increases, x increases.
So the curve is traced from left to right.
Which graph shows y= (-5x) -4?
Answer:
Graph A
Step-by-step explanation
I look at the y-intercept first, and the y-intercept is -4, so looking at each graph you can see both A and D have y-intercepts of -4, since the line intercepts, or goes through the y-axis (the vertical line of the graph) at -4.
Then, you look at the variable that's changing, which is -5x. Since it's a negative, A is the graph that is negatively decreasing, because of its position on the graph. The line is going down, starting in the negative side.
help pleaseeeeeee!!!!!
Answer:
D
Step-by-step explanation:
Find the area of the shape shown below.
Answer:10 is the area
Step-by-step explanation:
Each of the 17 guinea pigs needs its cage cleaned. If it takes 1 hour to clean 4 cages, how many hours will it take to clean all 17 cages? It will take hours to clean all the cages.
Answer:
Time taken to clean all 17 cages = 4.25 hours
Step-by-step explanation:
Total number of Guinea pig cage = 17
Time taken to clean 4 cage = 1 hour
So,
Time taken to clean 1 cage = [tex] \frac{1}{4} [/tex] hour = 15 minutes
Therefore,
Time taken to clean 17 cages = 17 × 15 minutes = 255 minutes
= [tex] \frac{255}{60} [/tex] hours
= 4.25 hours
Answer:
Time taken to clean all 17 cages = 4.25 hours
Step-by-step explanation:
Can someone please help me thanks.
Answer:
Step-by-step explanation:
130
So the right answer is 130 degree.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Solve for d.
5d + 2 (2 - d) = 3 (1 + d) + 1
A. D= -3
B. No solutions
C. Infinitely many solutions
D. D= 4
So the answer is no solution .
Look at the attached picture
Hope it will help you
Mateo finds a special on apples for $0.80 per pound. Which price is a better deal? A. $0.78 per pound B. $0.85 per pound C. $0.90 per pound D. $1.25 per pound
Answer: I think the answer is A
Step-by-step explanation:
I need urgent help plz
Please Help 6th Grade Math! Box Plots! 2 questions (Image attached)
Answer:
First answer is 14
Second answer is 25
Step-by-step explanation:
Median is the middle ( 1 2 3 4 5 the median would be 3)
You start at 2 and end at 27
List all the numbers from 2 to 27 and come from both ends until you get to the middle number(s)
In this case there are two 14 & 15
14+15=29 29÷2=14.5
Since there are no decimal answers you are left with 14
Range you take the two end numbers and subtract them (27 & 2)
27-2=25
Hopefully this helps!
Please help! You don’t have to show work
Answer:
It is Number 1 A
Step-by-step explanation:
Hello I really need help and it’s a quick easy multiple choice answer I just don’t know if I’m right! Pls help
Answer:
The solutions
Step-by-step explanation:
Solving for x gives the solutions
Hi! Got a question!
please explain!
Calculate the volume of a cubicle house with length 18 m, width 12 m and height 10 m
p.s:thanks!!
Answer:
= 2160 cubic meters
Step-by-step explanation:
For Cuboidal House
length 18 m,
width 12 m and
height 10 m
Volume of Cuboid
= l*b*h
= 18 * 12 * 10
= 2160 cubic meters
Thus, the volume of a cuboidle house is 2160 cubic meters
Answer:
2160
Step-by-step explanation:
Find the slope from the table.
The slope is the change in y over the change in x
Use the first and last set given.
Slope = (11 - 3) / (2 - -2) = 8-4 =2
The slope = 2
A serving tray is the shape of a rectangular prism without a top the dimentions of the tray or 8" by 10" by 2" what is the surface area of the tray
Answer:
it's8
Step-by-step explanation:
Can someone please help me with these 2 questions?
Answer:
Answer is given below with explanations.
Step-by-step explanation:
[tex]in \: second \: question \: linear \ \\ pair \: of \: angles \: is \: shown \\ linear \: pair \: of \: angles \: is \: 180 \: degrees. \\ then \: a + b = 180 \: degrees \: \: (1) \\ in \: first \: equation \: \\ subtracting \: a \: on \: bot h\: sides \\ we \: get \: b = 180 - a \\ then \: D \: and \: E \: are \: correct \: \\ options \: which \: gives \: the \: relationship \: \\ between \: the \: mesure \: of \: angle \: in \: figure[/tex]
[tex]in \: third \: question \: also \: represents \: \\ linear \: pair \: of \: angles \\ here \: 88 + b + b = 180 \: degrees \\ 88 + 2b = 180 \\ so \: option \: D \: is \: the \: only \: correct \: answer \: \\ to \: represent \: the \: relationship \ \\ : between \: angles \: in \: figure.[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
what is the probability of rolling both of these dice and getting both of them to land on 1
Amy is putting money into a savings account. She starts with $650 in the savings account, and each week she adds $70 .
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Amy has been adding money. Write an equation relating S to W . Then use this equation to find the total amount of money in the savings account after 17 weeks.
Equation:
Total amount of money after 17 weeks: $
Answer:
$1,840
Step-by-step explanation:
S + (70 × W)
650 + (70 × 17)
650 + 1190
1, 840
WORTH 20 POINTS + BRAINLIST
I know this but I can’t remeber some one please help me out!
Answer:
C- 115
Step-by-step explanation: