Answer:
To find the z-score of a data value, we use the following formula:
z = (x - μ) / σ
where z is the z-score, x is the data value, μ is the mean of the distribution, and σ is the standard deviation.
Given a normal distribution with a mean (μ) of 146 and a standard deviation (σ) of 4, and a data value (x) of 153, we can plug these values into the formula:
z = (153 - 146) / 4
z = 7 / 4
z = 1.75
Thus, the z-score of the data value 153 is 1.75.
what is 4/m + 1 at m=1
Answer:
5
Hope this helps!
Step-by-step explanation:
Plug in m = 1 into the equation.
m = 1 : [tex]\frac{4}{m} +1[/tex] => [tex]\frac{4}{(1)} +1[/tex] = 4 + 1 = 5
Ms Smith has 45 apples that she wants to divide equally among 5 learners. However, she realises that she only has small baskets that hold a maximum of 8 apples each.
How many small baskets will Ms Smith need to divide the apples equally among her learners
Answer:
6 small baskets
Step-by-step explanation:
Ms smith has decided to split 45 apples among 5 learners. So, 45/5=9 apples.
However, she realizes only 8 apples can be held in a small basket, She will need to use at least two baskets to give 9 apples to each learner.
So, the number of baskets required can be calculated as:
45 apples ÷ 8 apples per basket = 5.625 baskets
Since we can't use a fraction of a basket, 5.625 is approximately equal to 6.
Therefore, Ms. Smith will need 6 small baskets to divide the apples equally among her learners
If a is an inversely proportional to b and a =1.5 when b =30,what is a when b =5
The proportion is solved and value of a = 9 and constant is k =45
Given data ,
If a is inversely proportional to b, it means that their product remains constant
a * b = k
where "k" is the constant of proportionality.
Given that a = 1.5 when b = 30, we can substitute these values into the equation:
1.5 * 30 = k
k = 45
Now, we can use the value of k to determine the value of "a" when b = 5:
a * 5 = 45
Dividing both sides by 5:
a = 45 / 5
a = 9
Hence , proportionality constant is k = 45 and when b = 5, the value of "a" is 9
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Help which one is correct
the base of the triangle below is b. bc.
Solve the triangle and round
B to C is 15.2 cm
C to A is 6.6 cm
A to B is 15.6 cm
Answer:
Step-by-step explanation:
This is a triangle with sides 15.2 cm, 6.6 cm, and 15.6 cm. To solve for the angles, we can use the Law of Cosines:
c^2 = a^2 + b^2 - 2ab cos(C)
where a = 6.6 cm, b = 15.6 cm, c = 15.2 cm, and C is the angle opposite side c.
Using this formula, we can solve for the cosine of angle C:
cos(C) = (a^2 + b^2 - c^2) / 2ab
cos(C) = (6.6^2 + 15.6^2 - 15.2^2) / (2 * 6.6 * 15.6)
cos(C) = 0.748
Taking the inverse cosine of 0.748, we get:
C = 41.5 degrees
To find the other angles, we can use the Law of Sines:
a/sin(A) = b/sin(B) = c/sin(C)
Using this formula, we can solve for angle B:
sin(B) = (b/sin(C)) * sin(A)
sin(B) = (15.6/sin(41.5)) * sin(A)
sin(B) = 0.614 * sin(A)
Using the fact that sin(A) + sin(B) + sin(C) = 1, we can solve for sin(A) and sin(B):
sin(A) = (sin(C) - sin(B)) / (1 + cos(C))
sin(A) = (sin(41.5) - 0.614 * sin(A)) / (1 + cos(41.5))
Solving for sin(A), we get:
sin(A) = 0.266
Using this value of sin(A), we can solve for sin(B):
sin(B) = 0.614 * sin(A)
sin(B) = 0.157
Taking the inverse sine of these values, we get:
A = 15.4 degrees
B = 123.1 degrees
Therefore, the triangle has angles of approximately 15.4 degrees, 123.1 degrees, and 41.5 degrees.
Part A
A data set is normally distributed with a mean of 27 and a standard deviation of 3.5. Find the z-score for a value of 25, to the nearest hundredth.
z-score =
Part B
In Part A, about what percent of the data is greater than 34?
A. 48%
B. 2%
C. 4%
D. 0.2%
a. The z-score for a value of 25 is -0.57, to the nearest hundredth.
b. The percent of the data is greater than 34 is about 2%.
What is the z-factor of the data set?To find the z-score for a value of 25, we can use the following formula;
z = (x - μ) /σ
where;
x is the valueμ is the meanσ is the standard deviationz = (25 - 27) / 3.5
z = -0.57
Rounding to the nearest hundredth, we get the z-score of -0.57.
The z-score for x = 34 is calculated as follows;
z = (x - μ) / σ
z = (34 - 27) / 3.5
z = 2
Using a standard normal distribution table, we find that the percentage of data that is greater than 34 = 2.28%.
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write answers that are not integers rounded to the nearest tenth
The value of x is 12.82, the value of z is 40.25.
Using Pythagorean theorem
50²= 39² + y²
y²= 2500- 1521
y= 32.28
Again Using Pythagorean theorem
z²= y²+ x²
z²- x²= 979
and, (39 + x)² = 50² + z²
(39 + x)² = 50² + (x² + 979)
1521 + 78x + x² = 2500 + x² + 979
78x = 1000
x ≈ 12.82
Substituting this value of x back into the first equation, we get:
z² - x² = 979
z² - (12.82)² = 979
z² ≈ 1620.12
Taking the square root of both sides, we get:
z ≈ 40.25
Therefore, the value of x is 12.82, the value of z is 40.25.
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The ability of lizards to recognize their predators via tongue flicks can often mean life or death for lizards. Seventeen juvenile common lizards were exposed to the chemical cues of the viper snake. Their responses, in number of tongue flicks per 20 minutes, are presented below.
523, 455, 693, 574, 370, 642, 336, 387, 727, 370,
302, 268, 693, 472, 710, 285, 744
Preliminary data analyses indicate that you can reasonably apply the z-interval procedure. Find a 90% confidence interval for the mean number of tongue flicks per 20 minutes for all juvenile common lizards. Assume a population standard deviation of 190.0. Note: The sum of the data is 8551.
Confidence interval:
We can see here that the 90% confidence interval will be: 420.2 to 585.8.
What is confidence interval?An interval of values known as a confidence interval is one that is likely to include the real value of a population parameter. A confidence interval of 95%, for instance, indicates that there is a 95% likelihood that the population parameter's real value falls inside the interval.
We will find the sample mean first:
Sample mean = sum of data points / number of data points
Sample mean = 8551 / 17 = 503
Then the standard error will be:
Standard error = population standard deviation / square root of number of data points
Standard error = 190 / √(17) = 41.7
Confidence interval = Sample mean ± 1.645 × standard error.
where 1.645 is the z-score for a 90% confidence interval.
Confidence interval = 503 ± 1.645 * 41.7 = 420.2 to 585.8
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Select the slope that would be parallel to y= 12.50x + 5
12.50
Step-by-step explanation:Parallel lines are lines that will never intersect.
Parallel Lines
Parallel lines run opposite of each other without intersecting. For lines to be parallel, they must have the same slope. The equation given to us is written in slope-intercept form. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. So, the slope from the equation is 12.50.
Finding Parallel Lines
In order to find other lines that are parallel to the line given, all we need to do is write another equation with the same slope. However, 2 lines that are the same are not considered to be parallel. This means that for 2 lines to be parallel they must have the same slope but different y-intercepts. For example, a parallel line could be y = 12.50x + 6.
(Worth 100 Brainly points) After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the
rainbow is the shape of a parabola.
The equation for this parabola is y=-x² + 36
1.Create a table of atleast 4 values of the function that includes two points of intersection between the airplane and the rainbow
2.What is the domain and range of the rainbow? Explain what the domain and range represent.Do all of the values make sense in the situation. Why or why not.
3.what are the x and y intercepts of the rainbow. Explain what each intercept represents.
The table of at least 4 values of the function is
x 0 -6 6 3
y 36 0 0 27
The domain is All set of real values and the range: y ≤ 36
The x and y intercepts of the rainbow are x = (-6, 0) and (6, 0) y = (0, 36)
Creating a table of at least 4 values of the functionGiven that we have
y = -x² + 36
From the graph, we have the following values
x y
0 36
-6 0
6 0
Set x = 3
So, we have
y = -3² + 36
Evaluate
y = 27
So, we have
x y
0 36
-6 0
6 0
3 27
The domain and the rangeFrom the graph, we have
Domain: All set of real valuesRange: y ≤ 36These values mean that;
Domain: The time of the dayRange: The height of the sunFor the x and y intercepts of the rainbow, we have
x = (-6, 0) and (6, 0)
y = (0, 36)
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100 Points! Algebra question. Photo attached. Thank you!
Answer:
a₁ = 121.5-------------------------
Use the formula for the sum of n terms of a GP:
Sₙ = a₁(1 - rⁿ) / (1 - r)And use the nth term formula:
aₙ = a₁*rⁿ⁻¹ = a₁*rⁿ/r ⇒rⁿ = aₙ*r/a₁We can rearrange the sum formula to solve for the first term:
Sₙ = a₁(1 - aₙ*r/a₁) / (1 - r) ⇒Sₙ = ( a₁ - aₙ*r) / (1 - r)Plugging in the given values, we get:
4860 = (a₁ - 3280.5*3)/(1 - 3)4860 = (a₁ - 9841.5)/ (-2)a₁ - 9841.5 = -2*4860a₁ - 9841.5 = -9720a₁ = 9841.5 - 9720a₁ = 121.5Therefore, the first term of the GP is 121.5.
a
E
Calculator
Given that cos=, what is sin ?
Enter your answer, as a simplified fraction, in the boxes.
URGENT
The trigonometric value equation is solved and sin θ = 24/25
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of sides of the triangle are
From the trigonometric relations , we get
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
And , sin² θ + cos² θ = 1
where the measure of cos θ = 7/25
On simplifying the equation , we get
sin θ = √ ( 1 - cos² θ )
sin θ = √ ( 1 - 49/625 )
sin θ = √576/625
sin θ = 24/25
Hence , the trigonometric relation is sin θ = 24/25
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The answer choices are:
A. 4
B. 2 radical 5
C. 4 radical 2
D. 2 radical 10
The length of segment WK is given as follows:
B. [tex]2\sqrt{5}[/tex]
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The endpoints of the segment in this problem are given as follows:
K(-2,0) and W(-6,-2).
Hence the length of the segment is given as follows:
[tex]\sqrt{(2 - (-6))^2 + (0 - (-2))^2} = \sqrt{20} = \sqrt{4 \times 5} = 2\sqrt{5}[/tex]
Meaning that option B is the correct option in the context of this problem.
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A standard number cube has 6 faces, labeled 1 through 6. If you roll a standard number cube, what is the probability of a rolling a number other than 1? Write your answer as a fraction.
The probability of rolling a number other than 1 on a standard number cube is 5/6.
When rolling a standard number cube, there are six equally likely outcomes, one for each face of the cube. To find the probability of rolling a number other than 1, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
In this case, the favorable outcomes are rolling any number from 2 to 6, which gives us five possibilities. Therefore, the probability of rolling a number other than 1 is 5 out of 6.
Expressing this as a fraction, the probability can be written as 5/6. This means that out of all the possible outcomes, there is a 5/6 chance of rolling a number that is not 1.
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if you roll a 6 sided die 66 times what is the best prediction possible for the number of times you will roll a five
Answer:
11/66, or 11 times
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS!!!!
Fill in the blanks please!
Answer:
How could the intersection of the graphs of the two equations be located on a coordinate grid?
-From the origin, move three units right and nine units up
What does the solution to a system of two linear equations mean on a graph?
-The point of intersection of the two lines
Can you have more than one solution to a system of linear equations?
-Yes, if both lines are the same exact line
Can you have exactly two solutions to a system of linear equations?
-No, because lines are straight
Can you have no solutions to a system of linear equations?
-Yes, if the lines are parallel
Step-by-step explanation:
Please look at the images attached. Sorry for the bad handwriting, I'm on a computer.
Basically, a linear system of equations has one solution if the equations yield two lines that intersect exactly once.
A linear system of equations has no solutions if the lines are parallel, because they will never intersect.
A linear system of equations has infinite solutions if the system of equations yields two lines that are the same, because they will forever intersect.
If you have any questions about these answers, please tell me in the comments below my answer. I'll be happy to answer them :)
14. If the cosine of an angle is
O 20
21
29
29
20
29
21
what is the cosine of the angle's complement?
29
A
The cosine of the angle's complement is 20/29
Let's start by using the fact that the sum of the measures of an angle and its complement is 90 degrees.
Let's call the angle A, and its complement B. Then we have:
cos A = 21/29
We want to find cos B. We know that cos B = sin A, because the sine of an angle is equal to the cosine of its complement.
So we need to find sin A.
We can use the Pythagorean identity:
sin²A + cos²A = 1
Substituting in cos A = 21/29, we get:
sin²A + (21/29)² = 1
Solving for sin A, we get:
sin A = ± 20/29
Therefore, we have:
cos B = sin A = 20/29
Hence, the cosine of the angle's complement is 20/29
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What conclusion can be determined from the dot plot below?
Answer: Most Data takes 10 seconds to download. (sorry if this answer is very vague its hard to explain)
Determine the equation of the circle with radius 9 and center ( − 1 , − 8 ).
The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8 )² = 81.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
( x - h )² + ( y - k )² = r²
Given that the circle has a center of (-1, -8) and the radius is 9.
Hence; from the standard form of the equation of the circle:
Center ( h , k ) = ( -1, -8 )
h = -1
k = -8
And radius r = 9
Plug these values into the above formula and simplify.
( x - h )² + ( y - k )² = r²
( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²
Simplify
( x + 1 )² + ( y + 8 )² = 81
Therefore, the equation of the circle is ( x + 1 )² + ( y + 8 )² = 81.
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(Ratios MC) Michelle had 6 paperback books and 5 hardcover books on the shelf by her bed. Write a ratio to represent the ratio of paperback books to hardcover books. 05:11 5:6 06:11 6
_
5
The ratio which represents the ratio of paperback books to hardcover books is 6 : 5.
Given that,
Michelle had 6 paperback books and 5 hardcover books on the shelf by her bed.
We have to find the ratio of the paperback books to hardcover books.
We have,
Number of paperback books = 6
Number of hardcover books = 5
We need to find the ratio of the paperback books to hardcover books.
Ratio = Number of paperback books / Number of hardcover books
= 6/5
Hence the ratio is 6/5.
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Please help asap
Find the indicated measure for circle P.
26. The length FE in the circle is 6 units
27. The arc AE has a measure of 64 degrees
26. Calculating the length FEFrom the question, we have the following parameters that can be used in our computation:
The circle
Given that the lengths from the center to either chords are equal
This means that
FE = 6 units
27. Calculating the measure of arc AEFor the other circle, we have
BC = 58 degrees
AB = ED
The arc AE is calculated as
AE = 180 - BC - ED
Where
AB = ED = BC = 58 degrees
So, we have
AE = 180 - 58 - 58
Evaluate
AE = 64
Hence, the arc AE is 64 degrees
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Help please I have to answer these questions using the graph.
The answers to all parts is shown below.
a. According to the graph, the concentration after 8 hours is approximately 22 mg/L.
b. The concentration increases from 0 to approximately 30 mg/L over the first 4 hours, and then decreases from approximately 30 mg/L to 16 mg/L between 4 and 20 hours.
c. The drug is at its maximum concentration after approximately 4 hours, with a maximum concentration of approximately 30 mg/L.
d. According to the graph, it takes approximately 12 hours for the concentration to decrease from the maximum concentration of approximately 30 mg/L to 16 mg/L.
e. After 1 week, the graph predicts that the concentration will be very close to 0 mg/L. After 1 month, the concentration is predicted to be essentially 0 mg/L.
f. During the first 4 hours, the concentration increases from 0 to approximately 30 mg/L.
Between 4 and 8 hours, the concentration decreases slightly from approximately 30 mg/L to 28 mg/L.
Between 8 and 12 hours, the concentration decreases more rapidly from 28 mg/L to approximately 22 mg/L.
Between 12 and 20 hours, the concentration decreases gradually from 22 mg/L to 16 mg/L.
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A ___does not have an apex.
1. pyramid
2. prism
3. cone
Answer: 3. Prism
explanation: An apex is basically, the point where all lines meet at one point, and a prism is the one shape that doesn't have a apex. Hope this helps!
please help with this
Answer:
F(- 3) = - 2 , F(0) = 0
Step-by-step explanation:
(a)
F(- 3) with x = - 3 is in the interval x < 0 , then
F(- 3) = 3x = x + 1 = - 3 + 1 = - 2
(b)
F(0) with x = 0 is in the interval x ≥ 0 , then
F(0) = 3x = 3 × 0 = 0
help please answer the number 1 only thanyou
i will give brainliest
Answer:
[tex]\sin\theta=\dfrac{\sqrt{5}}{5}[/tex]
[tex]\cos\theta=\dfrac{2\sqrt{5}}{5}[/tex]
[tex]\tan\theta=\dfrac{1}{2}[/tex]
[tex]\csc\theta=\sqrt{5}[/tex]
[tex]\sec\theta=\dfrac{\sqrt{5}}{2}[/tex]
Step-by-step explanation:
The cotangent ratio is the reciprocal of the tangent ratio.
[tex]\cot \theta = \dfrac{1}{\tan \theta}[/tex]
Therefore, if cot θ = 2 then:
[tex]\dfrac{1}{\tan \theta}=2[/tex]
[tex]\tan \theta=\dfrac{1}{2}[/tex]
The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle:
[tex]\tan\theta = \sf \dfrac{opposite}{adjacent}[/tex]
Therefore, the length of the side opposite angle θ is 1 and the length of the side adjacent angle θ is 2.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
We can use Pythagoras Theorem to calculate the length of the hypotenuse, H:
[tex]1^2+2^2=H^2[/tex]
[tex]1+4=H^2[/tex]
[tex]H^2=5[/tex]
[tex]H=\sqrt{5}[/tex]
Therefore, the length of the hypotenuse is √5.
Now we have the lengths of the three sides of the right triangle, we can find the other trigonometric function of angle θ.
[tex]\boxed{\begin{minipage}{8cm}\underline{Trigonometric functions}\\\\$\sf \sin\theta=\dfrac{O}{H}\quad\cos\theta=\dfrac{A}{H}\quad\tan\theta=\dfrac{O}{A}$\\\\\\$\sf\csc\theta=\dfrac{H}{O}\quad\sec\theta=\dfrac{H}{A}\quad\cot\theta=\dfrac{A}{O}$\\\\\\where:\\\phantom{ww}$\bullet$ $\theta$ is the angle.\\\phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle.\\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse.\\\end{minipage}}[/tex]
Given values:
O = 1A = 2H = √5Substitute these values into the six trigonometric functions:
[tex]\sin\theta=\dfrac{O}{H}=\dfrac{1}{\sqrt{5}}=\dfrac{\sqrt{5}}{5}[/tex]
[tex]\cos\theta=\dfrac{A}{H}=\dfrac{2}{\sqrt{5}}=\dfrac{2\sqrt{5}}{5}[/tex]
[tex]\tan\theta=\dfrac{O}{A}=\dfrac{1}{2}[/tex]
[tex]\csc\theta=\dfrac{H}{O}=\dfrac{\sqrt{5}}{1}=\sqrt{5}[/tex]
[tex]\sec\theta=\dfrac{H}{A}=\dfrac{\sqrt{5}}{2}[/tex]
[tex]\cot\theta=\dfrac{A}{O}=\dfrac{2}{1}=2[/tex]
How many solutions does the system of equations below have?
y=-x-3
2y + 2x = -6
OA. No solution
B. Exactly 1 solution
C. More than 1 solution
D. At least 1 solution
There are more than one solution for the given system.
Hence the correct option is C.
The given system of equations is,
y=-x-3
2y + 2x = -6
Write the equation in the form of ax + by = c,
Therefore, the system be
x + y = -3
2x + 2y = -6
We know that,
The system of equations a₁x + b₁y = c₁ and a₂x + b₂y = c₂
If [tex]\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}[/tex]
Then the system has more than one solution.
Therefore,
1/2 = 1/2 = -3/-6
= 1/2
Hence, this has more than one solution or roots.
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Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
The three true statements about the function and its graph are The graph of the function is a parabola, The graph does not open down (it opens upwards). and None of the given points, (20, -8) or (0, 0), lie on the graph.
Based on the quadratic function f(x) = x^2 – 5x + 12:
The value of f(-10) = 82 is not true.
To find the value of f(-10), substitute x = -10 into the function: f(-10) = (-10)^2 - 5(-10) + 12 = 100 + 50 + 12 = 162.
The graph of the function is a parabola.
This statement is true. The quadratic function has a degree of 2, which means its graph will be a parabola.
The graph of the function opens down.
This statement is not true. The coefficient of the x^2 term in the quadratic function is positive (1), so the parabola opens upwards.
The graph contains the point (20, -8).
This statement is not true. To verify if the point (20, -8) is on the graph, substitute x = 20 into the function: f(20) = (20)^2 - 5(20) + 12 = 400 - 100 + 12 = 312. Therefore, the point (20, -8) does not lie on the graph.
The graph contains the point (0, 0).
This statement is not true. To verify if the point (0, 0) is on the graph, substitute x = 0 into the function: f(0) = (0)^2 - 5(0) + 12 = 0 - 0 + 12 = 12. Therefore, the point (0, 0) does not lie on the graph.
Therefore, the three true statements about the function and its graph are:
The graph of the function is a parabola.
The graph does not open down (it opens upwards).
None of the given points, (20, -8) or (0, 0), lie on the graph.
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a certain patcch of land sustains a population of heffalump. If the heffalump is presently 42 and expected to double every six years, how many heffalumps will be living on this patch of land fifty years from now?
The population of the patch land in 50 years is given as follows:
13,547.
How to define an exponential function?An exponential function has the definition presented as follows:
[tex]y = ab^\frac{x}{n}[/tex]
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.n is the time needed for the rate of change.The parameter values in this problem are given as follows:
a = 42, b = 2, n = 6.
Hence the function for the population after x years is given as follows:
[tex]y = 42(2)^\frac{x}{6}[/tex]
The population in 50 years is given as follows:
[tex]y = 42(2)^\frac{50}{6}[/tex]
y = 13,547.
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25-40x = x - 10
solve this radical equation
the 25-40x is supposed to be in a square root
An experimental calculation of the specific heat of aluminum was found in a lab to be 0.174 cal/g*f. Based on the calibration of the equipment it is known that maximum percent error in the readings is 20%. Which of the following readings is not possible?
A. 0.102cal/g*f
B. 0.1398cal/g*f
C. 0.1953cal/g*f
D. 0.2020cal/g*f
A reading that is not possible is given as follows:
A. 0.102cal/g*f
How to obtain the possible readings?The possible readings are obtained applying the proportions in the context of the problem.
The percent error is of 20%, hence the minimum reading is given as follows:
0.8 x 0.174 = 0.1392 cal/gf
The maximum reading is given as follows:
1.2 x 0.174 = 0.2088 cal/gf.
The reading from option A is the only reading that is not between the minimum and the maximum values.
More can be learned about proportions at https://brainly.com/question/24372153
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