Answer:
$360
Step-by-step explanation:
12 months in a year
12 x 30 = 360
$360
Answer:
The total withdrawal is $360 dollars
Step-by-step explanation:
12 months in a year
30 * 12 = 360
$360
How many 12 hours periods (half days) will pass after 25 hours? Enter only the whole number of period that have passed?
Answer:
2
Step-by-step explanation:
12 + 12 = 24
The smaller of two consecutive even integers is five more than one half of the greater. Find the integers.
Answer:
12, 14
Step-by-step explanation:
Let's call the smallest number n.
Let n + 2 = the larger even integer.
Let's write our equation:
"The smaller of two consecutive even integers is five more" would be +5 and "nne half of the greater" can be written as \(\frac{1}{2}\)(n + 2).
n = 5 + \(\frac{1}{2}\)(n + 2)
Solvew for n.
n = 5 + \(\frac{1}{2}\)(n + 2)
Let's multiply each side by 2, to get rid of the fraction, \(\frac{1}{2}\).
2 (n) = 2(5 + \(\frac{1}{2}\)(n + 2))
2n = 2* 5 + 2*(\(\frac{1}{2}\)(n + 2))
2n = 10 + (n + 2)
2n = 10 + n + 2
2n = 10 + 2 + n
2n = 12 + n Subtract n from each side.
2n - n = 12 + n - n
2n - n = 12
n = 12
Let's solve for our other integer:
n + 2 = 12 + 2 = 14
So our 2 consecutive, even integers are
12 and 14
Between x = 0 and x = 1, which function has a greater average rate of change than y = 3x
?
Answer:
x=1
Step-by-step explanation:
y=3x so just add 1+3=4 then add veriable y=4x
The ratio of cats to dogs at pet shelter is 4 to 3. if there are 36 dogs, how many cats are there?
A. 27
B. 36
C. 48
D. 52
Two systems of equations are given below.
For each system, choose the best description of its solution.
If applicable, give the solution.
System A
x+3y=9
-x-3y=9
System B
-x-3y=-3
x+3y=3
O The system has no solution.
O The system has a unique solution:
(x, y) = (
O The system has infinitely many solutions.
They must satisfy the following equation:
y = 0
O The system has no solution.
O The system has a unique solution:
(x, y) = (D)
O The system has infinitely many solutions.
They must satisfy the following equation:
y=0
The system A has no solution.
The system B has the solution y=( 3-x )/3
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
System A:
x+3y=9..........(1)
-x-3y=9 ..........(2)
(1) => x=9-3y........(3)
Substitute (3) into (2)
(2) = > - ( 9-3y ) - 3y = 9
-9 + 3y - 3y = 9
-9 =9
This is false.
So, the system has no solution.
System B:
-x-3y=-3..........(1)
x+3y=3..........(2)
(2) => x=3-3y........(3)
Substitute (3) into (1)
-(3-3y)-3y=-3
-3+3y-3y= -3
-3=-3
This is true,
So, the solution is:
x=3-3y
=> 3y= 3-x
=> y=( 3-x )/3
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There is a 30% chance that it rains on Saturday. If it rains, the probability that Sarina will go to
the store on Saturday is .12. If it doesn't rain, the probability that she will go to the store is .53.
Let R represent "it rains and S represent "going to the store".
a. Sketch a tree diagram to
represent this scenario.
b. P(S) = ?
c. P(S') = ?
d. P(S | R) = ?
e. P(R' | S') = ?
This can be solved by finding the probability and using the Bayes' theorem. However, there is a 34.7% chance that Sarina will go to the store on Saturday, and a 65.3% chance that she will not. If it rains on Saturday, there is a 10.3% chance that Sarina will go to the store, and if she doesn't go to the store, there is a 20.3% chance that it did not rain that day.
a. Tree Diagram
A tree diagram is a visual representation of the different possible outcomes of a sequence of events. Each branch represents an event, and the probability of that event is written above the branch. The branches that lead to the same final outcome are grouped together. For this scenario, we can start with the event of whether it rains or not, then branch out to whether Sarina goes to the store or not based on each possibility.
b. To find P(S), we need to use the law of total probability:
P(S) = P(R) * P(S | R) + P(R') * P(S | R')
= 0.3 * 0.12 + 0.7 * 0.53
= 0.347
So there is a 34.7% chance that Sarina will go to the store on Saturday.
c. P(S') is simply the complement of P(S):
P(S') = 1 - P(S)
= 1 - 0.347
= 0.653
So there is a 65.3% chance that Sarina will not go to the store on Saturday.
d. To find P(S | R), we can use Bayes' theorem:
P(S | R) = P(R | S) * P(S) / P(R)
= P(R and S) / P(R)
= 0.3 * 0.12 / 0.347
= 0.103
So if it rains, there is a 10.3% chance that Sarina will go to the store on Saturday.
e. To find P(R' | S'), we can again use Bayes' theorem:
P(R' | S') = P(S' | R') * P(R') / P(S')
= (1 - P(S | R')) * 0.7 / 0.653
= (1 - 0.53) * 0.7 / 0.653
= 0.203
So if Sarina does not go to the store on Saturday, there is a 20.3% chance that it did not rain that day.
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Estimate the perimeter and the area of the shaded figure to the nearest tenth.
A shaded composite figure is shown on a grid. The figure is made up of a triangle on the left, a square in the center, and a semicircle on the right.
The triangle is a 45, 45, 90 triangle with a hypotenuse of 6 units. The semicircle has a diameter of 6 units. The square has a side length of 2 units. One side of the square is shared with part of the hypotenuse of the triangle, and one side is shared with part of the diameter of the semicircle.
perimeter: About
units
area: about
square units
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The area of the shaded figure is approximately 50.3 square units.
What is Pythagoras theorem?
The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.
The perimeter of the shaded figure is approximately $2\times(4.2+2)+9.4$ or $19.8$ units.
To estimate the area of the shaded figure, we need to find the areas of the triangle, square, and semicircle.
The area of the triangle is \($\frac{1}{2}\times 6\times 6$\)or 18 square units.
The area of the square is $2\times 2$ or 4 square units.
The area of the semicircle is \($\frac{1}{2}\times\frac{1}{4}\times\pi\times6^2$\) or approximately 28.3 square units.
Hence, The area of the shaded figure is approximately \($18+4+28.3$\)or 50.3 square units.
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simplify by distributive property 9-5b+5m
Answer and Step-by-step explanation:
This is as far as the expression can be simplified.
The undistributed version of the expression is:
9 -5(b - m)
#teamtrees #PAW (Plant And Water)
Solve the equation: 35 = 7x x = ?
Answer:
X=5
Step-by-step explanation:
If you want to find the problem do the opposite instead of multiplication do division so 35 divided by 7 is 5 which is x
Answer:
x=5
Step-by-step explanation:
Original Equation:
35 = 7x
- If you divide both sides by 7 to isolate the x by itself...
35/7 = (7x)/7
5 = x
So x =5
50 POINTS PLEASE HELP!!!!!!!!!!!!!
On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes. Which absolute value equation can be used to calculate Carter's maximum and minimum time to get ready? Let x represent the maximum and minimum time.
|x−15|=25
|x+15|=25
|x+25|=15
|x−25|=15
Answer:
i thinking a or d
Step-by-step explanation:
The absolute value equation is |x+15|=25. Therefore, option B is the correct answer.
What is a absolute value equation?To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.
Given that, on average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes.
Let x represent the maximum and minimum time.
So, the absolute value equation is |x+15|=25
Therefore, option B is the correct answer.
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Where is the central tendency located in a skewed left distribution?
to the left of the tallest bar
to the right of the smallest bar
to the left of the smallest bar
in the center of the graph
to the right of the tallest bar
The Central tendency is typically located to the right of the tallest bar.
In a skewed left distribution, the central tendency is typically located to the right of the tallest bar. Skewed left distributions, also known as negatively skewed distributions, are characterized by a tail that extends towards the left side of the distribution.
The central tendency refers to the measure that represents the center or average of a distribution. It provides information about the typical or central value around which the data points tend to cluster. Common measures of central tendency include the mean, median, and mode.
In a skewed left distribution, the mean is usually influenced by the long tail on the left side of the distribution. This tail pulls the mean towards lower values, resulting in a lower mean compared to the median. Therefore, the mean will typically be located to the left of the tallest bar in a skewed left distribution.
On the other hand, the median is less affected by the skewness of the distribution and is relatively robust to extreme values. It represents the value that separates the lower 50% of the data from the upper 50%. In a skewed left distribution, the median will be located closer to the tallest bar or even slightly to the right of it.
The mode, which represents the most frequently occurring value in a distribution, may or may not be influenced by the skewness depending on the shape of the distribution. It can be located anywhere along the distribution, and its position is not necessarily tied to the location of the tallest bar.
To summarize, in a skewed left distribution, the central tendency is typically located to the right of the tallest bar. The median is usually closer to the tallest bar or slightly to the right, while the mean is influenced by the skewness and tends to be located to the left of the tallest bar.
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helpppp with this will give bralienst but need hurry
Answer:
20.25is how much each friend gets.Step-by-step explanation:
40.50/2 = 20.25
You have to divide by 2. This way both of the people will get the same amount of money.
Answer:
each friend will get
Step-by-step explanation:
20 .25
as 40 .50 ÷ 2 = 20 .25
hope this helps
pls can u heart and like and give my answer brainliest pls i beg u thx !!! : )
A new cylindrical can with a diameter of 4cm is being designed by a local company. The surface area of the can is 140 square centimeters. What is the height of the can? Estimate using 3.14 for pi and round to the nearest hundredth. Apply the formula for the surface area of a cylinder SA=2B+Ph
The height of the can of cylinder shape is 9.14 cm.
What is a cylinder?
In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.
We are given the diameter as 4 cm.
So, the radius is 2cm.
Also, it is given that the surface area of the can is 140 square centimeters.
So, using the surface area of cylinder, we get
⇒Area = 2πr (h + r)
⇒140 = 2π * 2 (h + 2)
⇒140 = 4π (h + 2)
⇒140 = 4 * 3.14 * (h + 2)
⇒140 = 12.56 * (h + 2)
⇒11.14 = h + 2
⇒h = 9.14
Hence, the height of the can of cylinder shape is 9.14 cm.
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which grows at the fastest rate for increasing values of x
\(f(x)=4*2^x\\h(x)=9x^2+25\\\\g(x)=15x+6\)
The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.
We can see this by comparing the growth rates of the three functions for larger and larger values of x.
As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.
if we plug in x = 10, we get:
f(10) = 4×2¹⁰ = 4×1024 = 4096
h(10) = 9×10² + 25 = 925
g(10) = 15×10 + 6 = 156
As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.
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Please help me help help me please help me out please please help please
Answer:
a
Step-by-step explanation:
consider the leading term of the polynomial function.What is the end behavior of the graph
The leading term is 2x⁷. Since n is odd & a is positive, the end behaviour is down and up. thus, option C is correct
What is an polynomial function?A polynomial function is generally expressed as a polynomial or polynomial expression, depending on its degree. Any polynomial's degree is its highest power. You will learn about polynomial function in this article, along with its expression and graphical representation for zero-degree, one-degree, two-degree, and higher degree polynomials.
A function that can be expressed as a polynomial is known as a polynomial function. The definition is derivable from the definition of a polynomial equation. A polynomial is typically denoted by the letter P. (x). The degree of the variable P(x) is its highest power. The degree of a polynomial function is crucial because it provides information about how the function P(x) will behave when x is very large.
Here we have the polynomial function:
p(x) = 2*x^7 - 8*x^6 - 3*x^5 - 3
We can see that the degree is 7, so it is odd, and the leading coefficient is positive = 2.
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Full question:
Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x^7 – 8x^6 – 3x^5 – 3
A. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is up and up.
B. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and down.
C. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.
D. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is up and down.
At the zoo 1/9 of the park is set aside for the monkeys. There are 4 different monkeys, each with an equal-sized area. What fraction of the zoo is set aside for the one monkey area?
Answer:
1/4
Step-by-step explanation:
Answer:
1/36
Step-by-step explanation:
1/9 divided by 4
A triangle has a base length of 3ac2 and a height 2 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.
The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.
We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.
(1/2) * Base * Height = Area
We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.
Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters
Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).
Using these values as a substitute in the formula, we obtain:
Area =\((1/2) * 54 * 56 = 1512\) square centimeters
centimetres square
It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.
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Help with 50-52 pleaseeeee ASAP
Answer: -2
Step-by-step explanation:
Flip the equation around and subtract 52-50.
The answer will be 2 so put a negative sign in front since the larger number is being subtracted.
(sorry if this explanation sucks i'm not that good at explaining things)
stick of butter weight a quarter of a pound how much do 13 sticks of butter weight
Provide the reflected ordered pair for each of the given ordered pairs.
Answer:
so i have a little trick for you. Reflecting across the x axis is just turning (x,y) to (x, -y)
Reflecting across the y axis is just turning (x, y) to (-x, y)
If we substitute that in we can figure it out
so
(0, 3) we have to turn it to (x, -y), so it would end up being (0, -3). That is the reflection axross the x axis.
(-4,5) we have to turn it to (-x,y) which will be (4,5) because a negative and a negative is positive. so (4,5) is the ordered pair reflected across the y axis! Hope it helps :D
Step-by-step explanation:
Rectangle LMNO has vertices L(–4,6), M(–1,6), N(–1,2), and O(–4,2). Suppose you first reflect this rectangle across the y-axis. Then, translate it down four units and to the left one unit. Where are the corresponding vertices L′M′N′O′ located?
Answer:
L'(3, 2)
M'(0, 2)
N'(0, -2)
O'(3, -2)
Step-by-step explanation:
Vertices of a rectangle LMNO are L(-4, 6), M(-1, 6), N(-1, 2) and O(-4, 2).
If a point (x, y) is reflected across y-axis, rule to be followed,
(x, y) → (-x, y)
After reflection across y-axis new ordered pairs will be,
L(-4, 6) → L"(4, 6)
M(-1, 6) → M"(1, 6)
N(-1, 2) → N"(1, 2)
O(-4, 2) → O"(4, 2)
Then these points were translated 4 units down and 1 unit left,
Rule to be followed for the translation will be,
(x'', y'') → [(x' - 1), (y' - 4)]
By this rule vertices of the rectangle after translation will be,
L''(4, 6) → L'(3, 2)
M''(1, 6) → M'(0, 2)
N''(1, 2) → N'(0, -2)
O''(4, 2) → O'(3, -2)
Answer:
L'(3, 2)
M'(0, 2)
N'(0, -2)
O'(3, -2)
Step-by-step explanation:
\(\bold{Heya...}\)
\(\sf{6 \: - \: (1 \: x \: 4) \: - \: 2}\)
Explain into your own words.
Thanks~
Answer:
0
Explanation:
Given expression:
\(\sf 6 - (1 \times 4) -2\)
Use BODMAS method:
brackets, order, division, multiplication, addition, subtraction
First simplify variables inside brackets
\(\sf 6 - (4) -2\)
Then simply use subtract integers
\(\sf 0\)
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's get it done using Bodmas Rule ~
\(\qquad \sf \dashrightarrow \: 6 - (1 \times 4) - 2\)
\(\qquad \sf \dashrightarrow \: 6 - (4) - 2\)
\(\qquad \sf \dashrightarrow \: 6 - ( 4 + 2)\)
\(\qquad \sf \dashrightarrow \: 6 - 6\)
\(\qquad \sf \dashrightarrow \: 0\)
We will get the end result 0, on simplification ~
423. Solve the formula C = d
for π.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to solve the formula \(\mathtt{C=\pi d}\) for \(\mathtt{\pi}\).
\(\triangle~\fbox{\bf{KEY:}}\)
We need to get pi all by itself on one side of the equation.To achieve our goal, we should divide both sides by d:
\(\mathtt{\cfrac{C}{d}=\cfrac{\pi d}{d}}\)
On the right, the d's cancel, and guess what happens? Pi is all by itself, on the right side of the equation!
So this is the formula:
\({\boxed{\mathtt{\pi =\cfrac{C}{d}}}\)
Hope it helps you out! :)
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
2 After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage. They want to construct a 99% confidence interval for the true proportion of cars with damage from the storm. Are the conditions for inference met? O Yes, the conditions for inference are met No, the 10% condition is not met No, the randomness condition is not met No, the Large Counts Condition is not met.
Answer:
Yes, the conditions for inference are met
Step-by-step explanation:
Conditions for inference:
To build a confidence interval for a population proportion, the sample must have at least 10 successes and 10 failures.
In this question:
50 cars, 11 have damage and 50 - 11 = 39 do not.
Since both the number of sucesses and of failures is above 10, conditions for inference are met.
Which equation is perpendicular to y= 1/2x + 4
The equation is given as
\(y=\frac{1}{2}x+4\)For finding the perpendicular line,
The product of slope is -1.
For the given equation , the slope is 1/2.
Now find the slope of perpendicular line.
\(\frac{1}{2}\times m=-1\)\(m=-2\)Hence the slope of perpendicular line is -2.
Now the perpendicular equation to the given line can be
y=-2x+b.
Where assume b=1.
Then the equation perpendicular to the given line is
\(y=-2x+1\)ill give you brainly and 10 points hurrry please
\( \large \bf \implies{} |10.5 - ( - 6.1)| \)
Step-by-step explanation:The total temperature change
= high temperature - low temperature
= |10.5 - (-6.1)|
{By subtraction.}
A triangle has a base of 4 inches and a height of 12 inches. What is the area of the triangle?
Answer:
48Step-by-step explanation:
u just multiply 12x4=48Answer:
The area of the triangle is 24.
Peter has collected data to find that the finishing times for cyclists in a race has a normal distribution. Based on the Empirical Rule, what is the probability that a randomly selected race participant had a finishing time of greater than 171 minutes if the mean is 156 minutes and the standard deviation is 15 minutes
Answer:
if you remember the bell curve 32 32 13.5 13.5 2.35 2.35 and .15 put the mean in the middle of the bell curve we find that 13.5 + 2.35 + .15 so
16% is your probablility
The value of √-9 is not -3 because _____.
A. (-9)^2 ≠ -3
B. 9^2 ≠ -3
C. 3^2 ≠ -9
D. (-3)^2 ≠ -9
Answer:
option d
Step-by-step explanation:
(-3)²=9
(-3)²≠(-9)