Answer:
20yd²
Step-by-step explanation:
6 × 6 = 36
4 × 4 = 16
36
-16
20
A ball is dropped from a cliff that is 135 m high.
The relationship between the height of the ball,
h, in metres, and time, t, in seconds, can be
represented by the equation h = –4.9t
2 + 135.
Which is closest to the height of the ball after
2.1 seconds?
Answer:
113 feet
Step-by-step explanation:
I will assume you meant h = -4.9t^2 + 135; "t2" is incorrect.
To answer this question, to find the height of the ball after 2.1 seconds, substitute 2.1 for t in the above equation:
h(2.1) = -4.9(2.1)^2 + 135. This becomes -21.6 + 135, or 113.4.
The closest result to the height of the ball after 2.1 seconds is 113 feet.
The graph of a function is shown below. What is its range?
O (1, 2, 4)
O (1, 2, 3, 5)
O All real numbers.
O (1, 2, 3, 4)
(1,2,4)
Step-by-step explanation:Range describes the y-values of a graph.
Range
Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.
Finding Range
In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).
Nothing crazy here. Solve 1 step inequalities with addition and subtraction the same way you would solve an equation.
isolate the variable by performing the opposite operation to both sides
Answer:
hey, what exactly is your question? i don't really get it.
Step-by-step explanation:
The sum of two consecutive numbers is 25. What is the largest of the consecutive numbers? Type a numerical answer in the space provided.
In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.
How can the the largest of the consecutive numbers be calculated?Given that sum of two consecutive numbers is 25 , ans we were required to locatye the largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:
x + (x+1) = 25
Simplifying the left side of the equation:
2x + 1 = 25
2x = 24
Dividing both sides by 2:
x = 12
So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.
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Slove 4(b-3)=6Put the steps in order to solve the equation from first to last
We have to solve:
\(\begin{gathered} 4(b-3)=6 \\ 4\cdot b-4\cdot3=6 \\ 4b-12=6 \\ 4b=6+12 \\ 4b=18 \\ b=\frac{18}{4} \\ b=4.5 \end{gathered}\)The value of b is b=4.5.
Which comparison is true?
0 2.6 < 2.07
05.08 < 5.21
O 5.08 > 5.40
O 2.6 > 2.65
Answer:
The correct answer is C
Step-by-step explanation:
I took the test and got a 100
Factor the expression 36a + 42b - 18a + 6
+10 points=brainliest
Answer:
6(3a+7b+1)
Step-by-step explanation:
36a+42v-18a+6
18a+42b+6
GCF=6
6(3a+7b+1)
The factor of the given expression is 6(3a+7b+1).
What are factors?A factor is a number that divides another number, leaving no remainder.
Given an expression, 36a + 42b - 18a + 6
On factoring, we get,
36a + 42b - 18a + 6
= 18a+42b+6
= 6(3a+7b+1)
Hence, The factor of the given expression is 6(3a+7b+1).
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The continuous random variable V has a probability density function given by: 6 f(v) = for 3 ≤ ≤7,0 otherwise. 24 What is the expected value of V? Number
The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.
The PDF of V is defined as:
f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.
The expected value of V, denoted as E(V), can be calculated as:
E(V) = ∫v * f(v) dv
To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.
E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.
E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].
E(V) = (0.25) * [(49 / 2) - (9 / 2)].
E(V) = (0.25) * (40 / 2).
E(V) = (0.25) * 20.
E(V) = 5.
Therefore, the expected value of the continuous random variable V is 5.
The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
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Two students are registered for the same class and attend independently of each other, student a 90% of the time and student b 70% of the time. the teacher remembers that on a given day at least one of them is in class. what is the probability that student a was in class that day
The probability of student A is 15/44
Given student A is 70% of time and student B is 60% of time
We need to find the probability of student A
Using formula of conditional probability is P(X/Y) = P(X and Y) / P(Y)
Here X = A and Y = A or B
Therefore,
P(A/A or B) = P(A and (A OR B) / P (A or B)
Now, There is none complement for at least 1
We know that Student A attends 70 % of time
So , his absence is 30% of the time .
Hence the probability of absence is 0.3
Now Considering B in the similar way
We get,
Probability of the absence is 0.4
They are both absent (0.3)(0.4)= 0.12
Here we can say that 12 % of time both are absent
So one or another present on that time is 88%
The probability of present of the time is 0.88
Now calculating the probability,
P(A/A or B) = P(A and (A OR B) / P (A or B)
= 0.3/0.88
= 30/88
= 15/44
Hence the Probability Of A is 15/44
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Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $7.50. How much would Marco spend on 5 bags of cat food?
9514 1404 393
Answer:
$12.50
Step-by-step explanation:
The cost of 5 bags will be 5/3 times the cost of 3 bags:
5-bag cost = (5/3)($750) = $12.50
Marco would spend $12.50 on 5 bags of cat food.
_____
If you like, you can find the "unit rate" -- the cost of one bag of cat food:
$7.50 / (3 bags) = $2.50 /bag
Then, multiply that rate by 5 bags:
(5 bags)($2.50/bag) = $12.50
Note that we have multiplied by 5 and divided by 3, the same as if we had multiplied by 5/3.
Yolanda filled her gas tank three times a week. Here are the amounts of gas she bought (in gallons) 19.27, 16, 7.64 what is the total amount of gas Yolanda bought last week?
Answer:
42.91
Add them together.
Get 42.91
After 3 hours,
Amelie has biked
15 miles
A professional
cyclist finished a
100-mile race in 4
hours
it took Emma
3 hours to bike 27
miles up to the top
of Mt. Evans
← PREVIOUS
?
?
?
3 of 12
acer
20 miles/hour
5 miles/hour
25 miles/hour
NEXT->>
ES
X
a
12:19
How to identify polar angles and reference angles to polar angles.
Answer:
See below
Step-by-step explanation:
To convert from Cartesian coordinates \((x,y)\) to polar coordinates \((r,\theta)\), use the following formulas:
\(r=\sqrt{x^2+y^2}\\\theta=tan^{-1}(\frac{y}{x})\)
Reference angles are the acutes angles that the terminal side of \(\theta\) makes with the x-axis.
The data (Elston and Grizzle 1962 in T3_6_BONE on CANVAS) given below consist of measurements yıy2,y3, and y4 of the ramus bone at four different ages on each of 20 boys. (a) Find y, S, and R. (b) Find ISI and tr(S). 02. For the same dataset in question 1, define (a) Find z, w and variances of z and w. (b) Find Cov(z,w).
y1 y2 y3 y4
47.8 48.8 49 49.7
46.4 47.3 47.7 48.4
46.3 46.8 47.8 48.5
45.1 45.3 46.1 47.2
47.6 48.5 48.9 49.3
52.5 53.2 53.3 53.7
51.2 53 54.3 54.4
49.8 50 50.3 52.7
48.1 50.8 52.3 54.4
45 47 47.3 48.3
51.2 51.4 51.6 51.9
48.5 49.2 53 55.5
52.1 52.8 53.7 55
48.2 48.9 49.3 49.8
49.6 50.4 51.2 51.8
50.7 51.7 52.7 53.3
47.2 47.7 48.4 49.5
53.3 54.6 55.1 55.3
46.2 47.5 48.1 48.4
46.3 47.6 51.3 51.8
The covariance of z and w, Cov(z,w), as Cov(z,w) = Cov((y- y)/√S,(y- y)/√S) = Cov(1/√S,1/√S) = 1/S = 0.1135.
(a) Using the data given, we can find the sample mean, variance and correlation coefficient as follows:
The sample mean, y, is given by y = (1/80) * Σyᵢ = 49.45.
The sample variance, S², is given by S² = (1/79) * Σ(yᵢ - y)² = 8.798.
The correlation coefficient, R, is given by R = (1/78) * Σ((yᵢ - y)/S)((yⱼ - y)/S) = 0.987.
(b) We can find the inverse of the sample variance, ISI, as ISI = 1/S = 0.1135. The trace of the sample variance, tr(S), is equal to the sum of the diagonal elements of S, which is tr(S) = S₁₁ + S₂₂ + S₃₃ + S₄₄ = 35.187.
For part 2, (a) we can find the standardized variables z and w as zᵢ = (yᵢ - y)/√S and wᵢ = (yᵢ - y)/√S for i = 1,2,...,80. The variances of z and w are both equal to 1.
(b) We can find the covariance of z and w, Cov(z,w), as Cov(z,w) = Cov((y- y)/√S,(y- y)/√S) = Cov(1/√S,1/√S) = 1/S = 0.1135.
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Complete question:
The data (Elston and Grizzle 1962 in T3_6_BONE on CANVAS) given below consist of measurements yıy2,y3, and y4 of the ramus bone at four different ages on each of 20 boys. (a) Find y, S, and R. (b) Find ISI and tr(S). 02. For the same dataset in question 1, define (a) Find z, w and variances of z and w. (b) Find Cov(z,w).
y1 y2 y3 y4
47.8 48.8 49 49.7
46.4 47.3 47.7 48.4
46.3 46.8 47.8 48.5
45.1 45.3 46.1 47.2
47.6 48.5 48.9 49.3
52.5 53.2 53.3 53.7
51.2 53 54.3 54.4
49.8 50 50.3 52.7
48.1 50.8 52.3 54.4
45 47 47.3 48.3
51.2 51.4 51.6 51.9
48.5 49.2 53 55.5
52.1 52.8 53.7 55
48.2 48.9 49.3 49.8
49.6 50.4 51.2 51.8
50.7 51.7 52.7 53.3
47.2 47.7 48.4 49.5
53.3 54.6 55.1 55.3
46.2 47.5 48.1 48.4
46.3 47.6 51.3 51.8
describe the value of 12x−4 when x=10
Answer:
Answer is 116
Step-by-step explanation:
12(10)-4 is 116
Answer:
=116
Step-by-step explanation:
12 x 10 = 120
120 - 4 = 116
how do you solve 2×(6÷2+8)- 4? please help I need a answer and explanation.
Answer:
18
Step-by-step explanation:
remember parenthesis, always first then left to right so 6/2 is 3 +8 is 11 the x 22 is 22 then - 4 is 18 so your answer is 18
Find the surface area of the triangular prism shown below.
Answer:
150
Step-by-step explanation:
mark brainliest plz
In developing patient appointment schedules , a medical centre wants to estimate the mean time that a staff member spends with each patient. How large a sample should be taken if the desired margin of error is 2 minutes at a 95 per cent level of confidence? How large a sample should be taken for a 99 per cent level of confidence ? Use a planning value for the population standard deviation of 8 minutes.
A. A sample size of 62 should be taken for a 95% level of confidence.
B. The sample size of 107 should be taken for a 99% level of confidence.
a. To estimate the sample size needed to estimate the mean time a staff member spends with each patient, we can use the formula for sample size calculation:
n = (Z^2 * σ^2) / E^2
Where:
n = required sample size
Z = Z-score corresponding to the desired level of confidence
σ = population standard deviation
E = desired margin of error
For a 95% level of confidence:
Z = 1.96 (corresponding to a 95% confidence level)
E = 2 minutes
σ = 8 minutes (population standard deviation)
Substituting these values into the formula:
n = (1.96^2 * 8^2) / 2^2
n = (3.8416 * 64) / 4
n = 245.9904 / 4
n ≈ 61.4976
Since we can't have a fraction of a sample, we round up the sample size to the nearest whole number. Therefore, a sample size of 62 should be taken for a 95% level of confidence.
b. For a 99% level of confidence:
Z = 2.58 (corresponding to a 99% confidence level)
E = 2 minutes
σ = 8 minutes (population standard deviation)
Substituting these values into the formula:
n = (2.58^2 * 8^2) / 2^2
n = (6.6564 * 64) / 4
n = 426.0096 / 4
n ≈ 106.5024
Rounding up the sample size to the nearest whole number, a sample size of 107 should be taken for a 99% level of confidence.
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what is the variance of the number of heads that come up when a fair coin is flipped 13 times? (enter the final answer in decimal format and round to one decimal place.)
The variance of the number of heads that come up when a fair coin is flipped 13 times is 3.25
What is probability ?Mathematical representations of the likelihood of an event occurring or of a statement being true are dealt with in the area of probability. An outcome's probability is a number between 0 and 1, where 1 denotes certainty and 0 denotes the event's impossibility.
CalculationHere, flipping a coin is a Bernoulli trial, with n =13, with success as getting a head with probability p = 1/2.
We have to find the variance of the number of success in n Bernoulli trials. The variance of the number of successes in n Bernoulli trials is np(1-p).
the variance np \((1-p)=13\cdot (1/2)\cdot (1-1/2)=13\cdot (1/2)\cdot (1/2)= 3.25\)
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a new dog park is being designed by a city planner. the park is enclosed by a fence and shaped like a parallelogram. what is the area and perimeter of the dog park? round your answers to the nearest hundredth, if necessary.
A new dog park is enclosed by a fence and shaped like a parallelogram. So, the area and perimeter of the dog park is 2125 m² and 202.5 m.
Pictures can be seen in the attachment.
Determine the area and perimeter of the dog parkThese are the specified parameters:
Coordinate points in the image = (-8, 0), (5, 5), (9, 0), and (-4, -5).
1 unit = 5 m
The area of the parallelogram of the dog park
Triangular base (b) = (9 - (-8)) × 5 m = 85 m
Triangle height (h) = (0 + 5) × 5 = 25 m
A = 2 × 1/2 × b × h
= 2 × 1/2 × 85 m × 25 m
= 2125 m²
Perimeter of the dog park
The line a goes through the point (-8, 0) and (5, 5)
a² = (5 - (-8))² + (5 - 0)²
= 13² + 5²
= 169 + 25
= 194
a = √192
a = 13.85
Length a = 13.85 × 5 m = 69.25 m
The line b goes through the point (5, 5) and (9, 0).
b² = (9 - 5)² + (0 - 5²
= 4² + (-5)²
= 16 + 25
= 41
b = √41
b = 6.4
Length b = 6.4 × 5 m = 32 m
Perimeter = 2 × (a + b)
= 2 × (69.25 m + 32 m)
= 2 × 101.25 m
= 202.5 m
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pls help
will give the crown if correct
Step-by-step explanation:
Given:
\(\pounds1=1.55 CHF\)
Multiply \(\pounds 145\) by 1.55 to represent 145 pounds in Swiss Frances currency.
\(145 \times 1.55 = 224.75\)
Compare:
\(193.75 < 224.75\)
The watch in Geneva is cheaper.
How Much?
Divide 193.75 CHF by 1.55
\(193.75 \div 1.55 = 125\)
Subtract:
145 - 125 = 20.
The watch is 20 Pounds cheaper.
he food marketing institute shows that of households spend more than per week on groceries. assume the population proportion is and a simple random sample of households will be selected from the population. use the z-table. a. show the sampling distribution of , the sample proportion of households spending more than per week on groceries. 0.17 (to decimals) 0.0133 (to decimals) b. what is the probability that the sample proportion will be within of the population proportion (to decimals)? c. answer part (b) for a sample of households (to decimals). 0.0094
a. the sampling distribution is \(\sqrt{[(0.17 \times (1-0.17)) / n]}\)
b. The probability that the sample proportion is within 0.03 of the population proportion is 0.4101.
c. The probability that the sample proportion is within 0.03 of the population proportion for a sample of 200 households is 0.7738.
a. The sampling distribution of the sample proportion, \(\bar p\), can be approximated by a normal distribution with mean equal to the population proportion, p, and standard deviation equal to the square root of \([(p \times (1-p)) / n]\),
where n is the sample size.
Given that p = 0.17 and assuming a large enough sample size, we can use the formula to calculate the standard deviation of the sampling distribution:
Standard deviation = \(\sqrt{[(0.17 \times (1-0.17)) / n]}\)
b. To find the probability that the sample proportion will be within a certain range of the population proportion, we need to calculate the z-score for the lower and upper bounds of that range and then find the area under the normal curve between those z-scores.
Let's say we want to find the probability that the sample proportion is within 0.03 of the population proportion. This means we want to find
P(\(\bar p\)- p ≤ 0.03) = P((\(\bar p\)-- p) / \(\sqrt{[(p \times (1-p)) / n]}\) ≤ 0.03 / \(\sqrt{[(p \times (1-p)) / n]\)
We can use the standard normal distribution and z-scores to find this probability:
\(z_1\) = (0.03 / \(\sqrt{(0.17 \times (1-0.17)/n}\))
\(z_2\) = (-0.03 / \(\sqrt{(0.17 \times (1-0.17))/n}\))
We can find the probability that the z-score is between \(z_1\) and \(z_2\):
P(\(z_1\)≤ Z ≤ \(z_2\)) = P(-0.541 ≤ Z ≤ 0.541) = 0.4101
c. To answer part (c), we need to specify the sample size. Let's say we are taking a sample of 200 households.
Using the formula for standard deviation of the sampling distribution from part (a), we get:
Standard deviation = \(\sqrt{(0.17 \times(1-0.17)) / 200}\) = 0.034
Now we can repeat the same steps as in part (b) with this standard deviation:
\(z_1\) = (0.03 / 0.034)
\(z_2\) = (-0.03 / 0.034)
P(\(z_1\)≤ Z ≤ \(z_2\)) = P(-0.882 ≤ Z ≤ 0.882) = 0.7738
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(6x1000)+(1x10)+(8x1/1)+(9x1/10)+(4/100)=
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Let's evaluate ~
\(\qquad \tt \dashrightarrow \:(6 \times 1000) + (1 \times 10) + (8 \times \frac{1}{1} ) + (9 \times \frac{1}{10} ) + \frac{4}{100} \)
\(\qquad \tt \dashrightarrow \:6000 + 10 + 8 + \frac{9}{10} + \frac{4}{100} \)
\(\qquad \tt \dashrightarrow \: \dfrac{600000 + 1000 + 800 + 90 + 4}{100} \)
\(\qquad \tt \dashrightarrow \: \dfrac{601894}{100} \)
or
\(\qquad \tt \dashrightarrow \:{6018.94}{} \)
Tim is making 30 sundaes with mint, chocolate, and vanilla ice cream.
1/5
of the sundaes are mint ice cream and
1/2
of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answer:
12
Step-by-step explanation:
1/5 mint = 6
30 - 6 = 24
Half of 24 is 12
12 is chocolate
so 12 must be vanilla
The points in the table lie on a line. Find the slope of the line.
Х
6
--2
2.
6
y
8
5
2
1
Answer:
\( Slope (m) = -\frac{3}{4} \)
Step-by-step explanation:
Using any two pairs from the table of values given, (-2, 5) and (2, 2):
\( Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} \)
Where,
\( (-2, 5) = (x_1, y_1) \)
\( (2, 2) = (x_2, y_2) \)
Plug in the value into the slope formula:
\( Slope (m) = \frac{2 - 5}{2 -(-2)} \)
\( Slope (m) = -\frac{3}{4} \)
write the slope intercept form of the equation with the given characteristic passes through (2,-2) & (4,1)
Answer:
\(y = \frac{3}{2}x - 5\)
Step-by-step explanation:
General format for the slope-intercept form of an equation:
\(y = mx + c\)
where:
m = slope
c = y-intercept
\((x_{1} , y_{1})\) = \((2, -2)\)
\((x_{2} ,y_{2})\) = \((4, 1)\)
m = \(\frac{y_{2} -y_{1}}{x_{2} - x_{1}}\)
= \(\frac{1- (-2)}{4-2}\)
=\(\frac{1+2}{2}\)
m = \(\frac{3}{2}\)
Substituting this value of m into our equation:
\(y = \frac{3}{2}x + c\)
Substituting the coordinates of any of the two points into the above equation to solve for c:
1 = \(\frac{3}{2}\)(4) + c
1 = \(\frac{12}{2}\) + c
1 = 6 + c
Isolate c and make it the subject of the equation:
c = \(1 -6\)
c = \(-5\)
∴The slope-intercept form of the equation after substituting the calculated values of m and c:
\(y = \frac{3}{2}x + (-5)\)
\(y = \frac{3}{2}x - 5\)
evaluate 1/3 multiplied by 14/21
Answer:
1/3 * 14/21
=> 14/63
If my answer helped, please mark me as the brainliest!!!
Thank You!!
Graham wants to determine which football team is the most popular at a game between the home team and the visiting team. Which of the following methods will give him the most accurate results?
A.
surveying a group of people standing in line for tickets
B.
surveying people who do not live in the home team’s city
C.
surveying the cheerleaders for the home team
D.
surveying people wearing hats for the visiting team
Answer:
Surveying a group of people standing in line for tickets
Step-by-step explanation:
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use Quizizz for answers bro
step 2 of 2 : suppose a sample of 208 tankers is drawn. of these ships, 175 did not have spills. using the data, construct the 85% confidence interval for the population proportion of oil tankers that have spills each month. round your answers to three decimal places.
The confidence interval is 0.122<p<0.196
Confidence interval :
A confidence interval (CI) is a range of estimates for an unknown parameter in frequents statistics. The 95% confidence level is the most popular, however other levels, such 90% or 99%, are occasionally used when computing confidence intervals. The percentage of related CIs over the long run that include the parameter's actual value is represented by the confidence level. For instance, 95% of all intervals calculated at the 95% confidence level should include the parameter's actual value. The sample size, sample variability, and confidence level are all variables that have an impact on the CI's width.
Complete question:
Suppose a sample of 208 tankers is drawn. Of these ships, 175 did not have spills. Using the data, construct the 85 % confidence interval for the population proportion of oil tankers that have spills each month. Round your answers to three decimal places.
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What is the output of the following command, given that value1 = 2.0 and value2 = 12
if value1 = 2.0 and value2 = 12, then the output of a following command = 24.0
The correct option is A.
Briefing:The output of the given document is issued is 24.0 (2.0 * 12=24, i.e., it is simply the multiplication operation) if both values, i.e., value 1 and value 2, are taken into consideration as decimal data type values.
A simple data type is what, exactly?There is only one value represented by simple data types. Integer: a basic data type used in the creation of policies. A positive or negative whole number is represented by the integer data type. 0, 1, 2, 3, and 4 are examples of integers.
Why do we employ data types?An attribute of data that instructs a computer system how to interpret its value is called the data type. Knowing the different types of data makes it possible to collect information in the desired format and ensure that the values of each property are as expected.
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I understand that the question you are looking for is:
What is the output of the following command, given that value1 = 2.0 and value2 = 12? print (value+ value2)
A) 24.0
B) value + value2
C) 24
D) 2.0 + 12