Answer:
To prove that the measure of angle RST is greater than the measure of angle R, we can use the following steps:
By the definition of a triangle, angle RST is supplementary to angles R, S and T.
Since RT > ST, we can conclude that angle R is less than angle S.
Since angle RST is supplementary to angles R and S, the measure of angle RST is greater than the measure of angle R.
This can be written as measure of angle RST = measure of angle R + measure of angle S > measure of angle R
So, we've proven that if RT > ST in triangle RST, then measure of angle RST > measure of angle R.
Proof by contradiction could also be used to prove that if RT > ST in triangle RST, then measure of angle RST > measure of angle R.
Assume that the measure of angle RST <= measure of angle R. By the triangle inequality theorem, we know that RT + ST > R. But we are given that RT > ST, so RT + ST > RT > R which is a contradiction. Therefore, measure of angle RST must be greater than measure of angle R.
The rental rate for a car at CarRus is either plan A: $70 a day with unlimited miles or plan B: $40 per day and $0.25 per mile. If you want to rent a car for 4 days and drives 300 miles how much would you save by choosing plan B?
Answer:
$45 would be the savings of option b
Step-by-step explanation:
A. $70*4=$280
B. $40*4=$160 + $0.25*300=$75
a-b =$45
Please see attached photo for better explanation
a company makes wax candles shaped like rectangular prisms. each candle is long, wide, and tall. if the company used of wax, how many candles did they make?
The company made 42 candles from 5040 cm³ of wax.
What is a rectangular prism?Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape.
Given the dimensions of the candle, which is in the shape of rectangular prisms
let l be the length, b be width and h be the height,
length = 5 cm
width = 2 cm
height = 12 cm
total wax needed for 1 candle is calculated by the volume of candle,
V = l x b x h
V = 5 x 2 x 12
V = 120 cm³
number of candles made by 5040 cm³ wax
number of candles = 5040/120
number of candles = 42
Hence, 42 candles are made.
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The complete question is,
A company makes wax candles shaped like rectangular prisms. Each candle is 5cm long, 2cm wide, and 12cm tall. If the company used 5040cm3 of wax, how many candles did they make?
What is the frequency of the sinusoidal graph?
The frequency shown in the given sinusoidal graph is:
f = 1/T (s⁻¹).
What is the frequency?Frequency means the rate at which something occurs or is repeated over a particular period of time or in a given sample.
A sinusoidal function is a periodic function because the basic shape repeats indefinitely in both the positive and negative directions. The frequency of a sine wave is defined as the number of cycles it completes in a given interval and is the reciprocal of the period.
In a mathematical language, this is written as:
f = 1/T
Where,
f = frequency,
T = Period
To get the period, just subtract the x-coordinates of two consecutive peaks, so:
T = п - 0
T = п (s)
Therefore, the frequency is:
f = 1/T (s⁻¹).
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Find the z-score for the value 93, when the mean is 100 and the standard deviation is 3.
The z-score for the value 93, when the mean is 100 and the standard deviation is 3 is solved to be
2.3How to solve for z scoreZ scores is used to determine the amount of standard deviations a sample, X is from the mean
The z score is given by the formula
z = (X - μ) / σ
Definition of the parameters
mean, μ = 100
standard deviation, σ = 3
sample score, X = 93
z score for the score of 93
z = (X - μ) / σ
substituting into the formula
z = (93 - 100) / 3
= -7 / 3
= -2.333
Hence we can say that the z score is 2.333
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in 2003 the exchange rate between the United States and Canada was three Canadian dollars to two US Dollars Cindy has 78 US dollars to exchange when she visits Canada how many Canadian dollars could she get in exchange?
Cindy gets 117 Canadian dollars as exchange.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that in 2003 the exchange rate between the United States and Canada was three Canadian dollars to two US Dollars
Cindy has 78 US dollars to exchange when she visits Canada
We need to find the number of Canadian dollars could she get in exchange
Let the unknown value be x
Formulate a proportion
3/2=x/78
Apply cross multiplication
3×78=2x
234=2x
Divide both sides by 2
x=117
Hence, Cindy gets 117 Canadian dollars as exchange.
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Directions: Use the Law of Sines to find each missing side or angle. Round to the nearest tenth.
Answer: 25.0
Step-by-step explanation:
[tex]\frac{x}{\sin 65^{\circ}}=\frac{22}{\sin 53^{\circ}}\\\\x=\frac{22 \sin 65^{\circ}}{\sin 53^{\circ}}\\\\x \approx 25.0[/tex]
Solve the equation.
12.5(3x-1)+132.4=(2.8-4x) 0.5
Will reward brainliest
Answer:First we need to simplify the left side of the equation:
12,5(3x-1)+132,4 = 12,5*3x - 12,5 + 132,4 = 37,5x + 120,9
Now we need to simplify the right side of the equation:
2,8-4x = 2,8 - 4x
Now we have to set the two sides equal:
37,5x + 120,9 = 2,8 - 4x
Now we have to move all the x terms to one side of the equation:
37,5x - 4x + 120,9 = 2,8
Next step is to combine like terms:
33,5x + 120,9 = 2,8
Subtracting 120.9 from both sides of the equation:
33,5x = -118.1
Dividing both sides by 33,5
x = -3,54
So the solution of the equation is x = -3,54
Step-by-step explanation:
A square with sides 6 inches is shown. If $P$ is a point such that the segment $\overline{PA}$, $\overline{PB}$, $\overline{PC}$ are equal in length, and segment $\overline{PC}$ is perpendicular to segment $\overline{FD}$, what is the area, in square inches, of triangle $APB$
The area of the triangle APB is 6.75 square inches.
We know that PA=PB=PC and that PC is perpendicular to FD. Thus C will be the midpoint of FD.
Draw a perpendicular from P to AB, let the point of intersection be Q.
We know that CQ = DB = 6 inches
That is PC + PQ = 6 inches
PQ = (6 - PC) inches
Consider triangle APQ, it is a right angled triangle, right angled at Q. So using Pythagorean theorem
PA² = PQ² + AQ²
PA² = (6 - PC)² + (AB/2)²
PA² = (6 - PA)² + (6/2)²
PA² = 36 - 12PA + PA² + 9
12PA = 45
PA = 3.75
So PA = PB = PC = 3.75 inches
Also PQ = 6 - PC = 2.25 inches
The area of a triangle can be found by using the formula:
area = (base * height) / 2.
In this case, the base, AB is equal to the length of the side of the square, which is 6 inches, and the height is equal to PQ. So the area of triangle APB is
= (6*2.25)/2
= 6.75 square inches.
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how many standard drinks are in a mixed drink? choose an option below one to two three four or more it can vary
Depending on how many shots you add, a single mixed drink can be equivalent to more than one or two regular drinks. Keep in mind that a 1.25 oz. shot is equivalent to one normal drink.
What is a standard drink?
Approximately 14 grams of pure alcohol are present in one "normal" drink in the United States (or one alcoholic drink's equivalent).
This amount can be found in: 12 ounces of standard beer, which typically contains 5% alcohol. 12% alcohol in 5 ounces of wine is the normal amount. Approximately 40% alcohol is present in 1.5 ounces of distilled spirits.
What makes it a regular drink?
The amount of pure alcohol in various alcoholic beverages varies. Any alcoholic beverage with 10 grams of pure alcohol is referred to as a STANDARD DRINK. There are varying percentages of pure alcohol in various alcoholic beverages.
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does. Anyone get a and b please help I’ll mean a lot
Answer:
5x + 190 = 300
[tex]\frac{300-190}{5}[/tex]
Step-by-step explanation:
The equation
5x + 190 = 300 helps us to figure out how many minutes it will take for the tank to be empty.
5x + 190 = 300 Subtract 190 from both sides
5x + 190 - 190 = 300 - 190
5x = 110 Divide both sides by 5
[tex]\frac{5x}{5}[/tex] = [tex]\frac{110}{5}[/tex]
x = 22
It will take 22 minutes for the tank to be empty.
A study concluded that among people with a certain virus, 99.2% of tests conducted were (correctly) positive, while for people without the virus, 98.1% of the tests were (correctly) negative. If 29% of patients actually carry the virus, what's the probability that a patient testing negative is truly free of the virus?
If a study concluded that among people with a certain virus, 99.2% of tests conducted were (correctly) positive, while for people without the virus, 98.1% of the tests were (correctly) negative. the probability that a patient testing negative is truly free of the virus is 0.9967.
How to find the probability?Probability (testing negative is truly free of the virus) = (1- 0.29) (0.981) / (0.29) (1- 0.992) + (1- 0.29) (0.981)
Probability (testing negative is truly free of the virus) = (0.71) (0.981) / (0.29) (0.008) + (0.71) (0.981)
Probability (testing negative is truly free of the virus) = 0.69651 / 0.00232 + 0.69651
Probability (testing negative is truly free of the virus) = 0.69651/ 0.69883
Probability (testing negative is truly free of the virus) =0.9967
Therefore we can conclude that the probability (testing negative is truly free of the virus) is 0.9967.
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find the exact length of the curve. x = y4/8 + 1/4y2 , 1 ≤ y ≤ 2
The curve's approximate length is 33/16, as mentioned throughout the paragraph.
With an example, what is a curve?Curved shapes are those composed entirely of curves. A curved form, such as a circle, an ellipse, a parabola, or an arc, can be two-dimensional. Three-dimensional objects like sphere, cones, and cylinders can also have curved forms. A curved line is one that is not straight. A curve results from a point that is not moving in a straight line.
We'll use the following formula to get the angle of a function:
[tex]\begin{aligned}& L=\int d s \\& d s=\sqrt{1+\left(\frac{d x}{d y}\right)^2} d y\end{aligned}[/tex]
Let's now calculate x's derivative:
[tex]\begin{aligned}& \frac{d x}{d y}=\frac{4}{8} y^3-\frac{2}{4} \frac{1}{y^3} \\& =\frac{1}{2}\left(y^3-\frac{1}{y^3}\right)\end{aligned}[/tex]
Okay, now enter this into the ds formula to obtain:
[tex]d s=\sqrt{1+\frac{1}{4}\left(y^3-\frac{1}{y^3}\right)^2}[/tex]
Observe that:
[tex]\begin{aligned}& 1+\frac{1}{4}\left(y^3-\frac{1}{y^3}\right)^2=1+\frac{1}{4} y^6-\frac{1}{2}+\frac{1}{4 y^6} \\& =\left(\frac{1}{2} y^3+\frac{1}{2} y^{-3}\right)^2\end{aligned}[/tex]
The integral will now be easier to understand:
[tex]\begin{aligned}& L=\int_1^2 \sqrt{\left(\frac{1}{2} y^3+\frac{1}{2} y^{-3}\right)^2} d y=\int_1^2 \frac{1}{2} y^3+\frac{1}{2} y^{-3} d y \\& =\left[\frac{1}{8} y^4-\frac{1}{4} y^{-2}\right]_2^1 \\& =\frac{33}{16}\end{aligned}[/tex]
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The complete question is-
Find the exact length of the curve:
[tex]x=\frac{y^4}{8}+\frac{1}{4 y^2}, 1 \leq y \leq 2[/tex]
When do scientists use math in an experiment? How do you know?
Scientists use math in experiments when they make measurements, analyze quantitative data, and make predictions based on this data.
This is known because Math is an integral part of Science which is why both subjects ( Science and Math ) are considered STEM subjects.
How do scientists use math ?Scientists use math in an experiment to make measurements, analyze data, and make predictions.
For example, scientists use math to make precise measurements of physical quantities such as length, weight, and temperature. They also use math to perform calculations such as determining the concentration of a substance in a solution or the rate of a chemical reaction.
Scientists also use mathematical models and statistical analysis to analyze data and make predictions about the outcome of an experiment. They use mathematical equations to describe the relationships between different variables and to test hypotheses. They also use statistical techniques to determine the significance of their results and to make inferences about a larger population from a smaller sample of data.
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Jim is going to buy donuts for his family. Each donut costs $1.45. If the number of donuts Jim buys is represented using the letter d, which expression represents the total cost?
total cost=1.45d
for example
1.45=1.45(1) if d=1
some stores print multiple coupons and advertisements on their receipts, making the receipts unusually long. a curious shopper makes the same purchase at a random sample of 10 stores and measures the length of each receipt (in inches). here are the results: 8.25, 7.5, 5, 9.5, 12, 5.5, 9, 14, 11.5, 18 what is the value of the standard error of the mean?
The standard deviation of the mean was 1.256.
Now, in response to the question: We have given that, some stores print many coupons and advertisements on business receipts, resulting in exceptionally long receipts.
A curious customer makes the identical purchase at ten different stores and counts the length of the each receipt (in inches).
Here are the results,
8.25, 7.5, 5, 9.5, 12, 5.5, 9, 14, 11.5, 18.
Therefore, The value of the standard error of the mean is 1.256.
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in a pen-and-paper role-playing game, a 10-sided die is rolled. each side of the die is labeled with a number from 1 to 10. a player succeeds if a 9 or 10 is rolled, what is the probability of success?
The probability of success is 0.2. The result is obtained by adding the probability of getting 9 and the probability of getting 10.
How to calculate probability?Probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
P(A) is the probability of an event An(A) is the number of favorable outcomesn(S) is the total number of events in the sample spaceThe probability of A or B can be calculated by
P(A or B) = P(A + P(B)
A 10-sided die is rolled. Each side of the die is labeled with a number from 1 to 10. A number of 9 or 10 should be rolled to make a player succeed. Find the probability of success!
The number of each side of die are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
The probability of success is the probability of getting 9 or 10.
P(9) = 1/10
P(10) = 1/10
P(9 or 10) = P(9) + P(10)
P(9 or 10) = 1/10 + 1/10
P(9 or 10) = 2/10
P(9 or 10) = 1/5
P(9 or 10) = 0.2
Hence, the probability that a player would succeed is 0.2.
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5. The sum of two numbers is 15. The difference between five times the first number and Three times the second number is 19. Find the two numbers.
The first number will be 8 and the second number will be 7.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of the two numbers is 15. The difference between five times the first number and Three times the second number is 19.
Let the first number be 'x' and the second number be 'y'. Then the equations are given as,
x + y = 15 ...1
5x - 3y = 19 ...2
From equations 1 and 2, then we have
5x - 3(15 - x) = 19
5x - 45 + 3x = 19
8x = 64
x = 8
Then the value of the variable 'y' is given as,
8 + y = 15
y = 15 - 8
y = 7
The first number will be 8 and the second number will be 7.
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help I didn't do this before
Answer:
5 4/9
Step-by-step explanation:
7/9 of 7
= 7/9 × 7
= 7/9 × 7/1
Multiply top×top and bottom×bottom
= 49/9
means 49÷9
9 goes into 49, 5 times. And 9 × 5 is 45. 49 - 45 is 4. So
49÷9 is 5 and 4 leftover.
49 ÷ 9
= 5 4/9
If we changed the 2 to a 5 in the domain restriction , what would happen to the graph?
It depends on the specific context and the nature of the graph. Without more information about the domain restriction and the graph, it is difficult to say exactly what effect changing the 2 to a 5 would have. However, in general, changing a value in a domain restriction would affect the range of possible input values for the graph and could potentially change the overall shape or behavior of the graph.
find an equation of the plane. the plane through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1)
25x -15y -40z +45 =0 is the equation of the plane that passes through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1).
Let the given points be P(2 , 1 , 2) ,Q(3 , -8 , 6) and R(-2 , -3 ,1)
PQ = (3-2 , -8-1, 6-2)
=(1 , -9, 4)
PR = (-2 -2,-3-1 ,1-2)
=( -4 ,-4 ,-1 )
→PQ * →PR = [tex]\left[\begin{array}{ccc}i&j&k\\1&-9&4\\-4&-4&-1\end{array}\right][/tex]
=(9+16)i + (-16+1)j + (-4 -36)k
= 25i - 15j - 40k
Therefore , the normal vector to the plane is
→n = (25 , -15 ,-40)
Since , the plane passes through all the three points we can choose any point to find its equation .So,the equation of the plane through the point P(2,1,2) with normal vector
→n = (25,-15,-40) is
25(x-2) - 15(y-1) -40(z-2) =0
⇒25x - 50 -15y + 15-40z+80=0
⇒25x -15y -40z +45 =0
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Sipho’s Mum wants him to learn to save his money. Sipho’s mum offers to add double the amount of money he saves in his bank account each month.
If x is the amount of money Sipho saves in the month and y is the total amount of money in Sipho’s bank account at the end of the month after his Mum’s deposit, write an equation to show the relationship between x and y. (Do not include any spaces in your answer)
The equation that shows the relationship b/w x and y is
y= 3x
What is the equation?Generally, An equation is a mathematical statement that demonstrates that two mathematical expressions have the same value. This is the most basic version of the definition of an equation in algebra. For example, the phrase "3x + 5" = 14 is an equation, in which the two expressions "3x + 5" and "14" are separated by the symbol for "equal."
A mathematical expression is considered to be an equation if it includes the equals sign (=). Equations often use algebraic notation. Mathematicians turn to algebra when they are unsure about the value of a certain number in a computation.
In mathematics, an equation is represented by the conjunction "=", which is placed between two expressions. The "left-hand side" and "right-hand side" of an equation refer to the expressions that are located on the left and right sides of the equals sign, respectively.
Since Sipho’s mum will double the amount saved
let the amount saved be x
Therefore the equation for the total amount will be
y=x+2x
simplfing
y=x(1+2)
Therefore
y = x + 2x
y= 3x
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an automobile manufacturer claims that their van has a 28.228.2 miles/gallon (mpg) rating. an independent testing firm has been contracted to test the mpg for this van. after testing 2727 vans they found a mean mpg of 28.028.0 with a standard deviation of 2.62.6. is there sufficient evidence at the 0.010.01 level that the vans underperform the manufacturer's mpg rating? assume the population distribution is approximately normal.
The p-value is <0.01, reject the null hypothesis, vans underperform the manufacturer's mpg rating.
What is null hypothesis ?
The null hypothesis is a statement that there is no statistical significance between the results of an experiment and a certain theoretical prediction or postulate. It is usually denoted by H0 and it is a statement of "no effect" or "no difference".
The null hypothesis is that the mean mpg of the vans is equal to the manufacturer's rating of 28.228.2 mpg, and the alternative hypothesis is that the mean mpg of the vans is less than the manufacturer's rating.
We can use the t-test statistic to determine the probability of observing a sample mean as extreme or more extreme than the one computed from the data, assuming that the null hypothesis is true.
The t-test statistic is: (sample mean - population mean) / (standard deviation/sqrt(sample size)) = (28.028.0 - 28.228.2) / (2.62.6 / sqrt(2727)) = -3.34
The p-value is the probability of observing a t-value as extreme or more extreme than -3.34, assuming that the null hypothesis is true. With a sample size of 2727, we can use a t-distribution table to find that the p-value is less than 0.01.
The p-value is <0.01, reject the null hypothesis, vans underperform the manufacturer's mpg rating.
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Using P.M.I , prove that 6^n - 1 is divisible by 5.
Therefore , the solution of the given problem of PMI comes out to be
6 ⁿ -1 is always divisible by 5.
What is the purpose of mathematical induction?A mathematical method known as mathematical induction is used to demonstrate that a claim, formula, or theorem holds true for every natural number. Step 1 (Base Step) demonstrates the truth of a statement for the starting value.
Here,
Given : 6 ⁿ -1 is divisible by 5
Let,
=> 6 ⁿ -1
=> 6 ¹ - 1
=>5
P(k) is divisible by 5
P(k+1)=6
k+1−1=6.6k−1
=(5+1).6k−1
=5×6 k+6k−1
=5×6k+5m
=5(6k+m)
P(k+1) is divisible by 5
Therefore , the solution of the given problem of PMI comes out to be
6 ⁿ -1 is always divisible by 5.
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Describe the rule for this sequence by completing this sentence. The number of black triangles in each stage is the number of triangles in the previous stage.
The rule can be described as The number of black triangles in each stage is the number of triangles in the previous stage multiplied by 2.
This can be interpreted as follows:
In each stage, the number of black triangles is determined by the number of triangles that were present in the previous stage. This suggests that the sequence may be formed by repeatedly adding a certain number of triangles to the previous stage, with the number of added triangles equal to the number of triangles present in that stage.
Therefore, the rule can be described as The number of black triangles in each stage is the number of triangles in the previous stage multiplied by 2.
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Answer: 3 times
Step-by-step explanation:
edge 2023
PLEASE HELP ASAP!!!!!!!!!
how do I solve this?
Answer:
x = 13
Step-by-step explanation:
to solve this question you must know that angles in a triangle add up to 180 degrees
therefor 180 = 43 + 62 + (7x-16)
solve for x
180 = 43 + 62 + (7x-16)
180 = 105 + (7x-16)
Now, we can subtract 105 from both sides to get
75 = 7x-16
Next, we can add 16 to both sides to get
91 = 7x
Finally, we can divide both sides by 7 to get
x = 91/7
x = 13
So the value of x that satisfies the equation is 13
Answer:
x = 13
Step-by-step explanation:
Interior angles of a triangle sum to 180°. Therefore:
[tex]\implies 62^{\circ}+43^{\circ}+(7x-16)^{\circ}=180^{\circ}[/tex]
[tex]\implies 62+43+(7x-16)=180[/tex]
[tex]\implies 105+7x-16=180[/tex]
[tex]\implies 7x+89=180[/tex]
[tex]\implies 7x+89-89=180-89[/tex]
[tex]\implies 7x=91[/tex]
[tex]\implies 7x \div 7=91 \div 7[/tex]
[tex]\implies x=13[/tex]
Let $f$ and $g$ be functions defined on a domain $A$. Prove that if $f$ is bounded, and $\displaystyle\lim_{x \rightarrow c} g(x)
If [tex]$f$[/tex]is bounded and [tex]$\displaystyle\lim_{x \rightarrow c} g(x)$[/tex] exists, then the limit of function[tex]$f(x)g(x)$[/tex]as [tex]$x$[/tex] approaches domain[tex]$c$[/tex]also exists and is equal to [tex]$Lf(c)$[/tex]
Let [tex]$M$[/tex]be an upper bound of [tex]$f$[/tex] on the domain . Since [tex]$\displaystyle\lim_{x \rightarrow c} g(x)$[/tex] exists, there exists a number [tex]$L$[/tex] such that for all [tex]$\epsilon > 0$[/tex] there exists a [tex]$\delta > 0$[/tex] such that for [tex]$x \in A$[/tex] with [tex]$0 < |x - c| < \delta |g(x) - L| < \epsilon[/tex].
Now let [tex]\epsilon > 0Then $|f(x)g(x) - Lf(x)| = |f(x)||g(x) - L| < M\epsilon[/tex]
for all [tex]x \in A$ with $0 < |x - c| < \delta$[/tex]. So [tex]\displaystyle\lim_{x \rightarrow c} f(x)g(x)$ exists and is equal to $Lf(c)[/tex]
If [tex]$f$[/tex] is bounded and [tex]$\displaystyle\lim_{x \rightarrow c} g(x)$[/tex] exists, then the limit of [tex]f(x)g(x)$[/tex]as [tex]$x$[/tex]approaches[tex]$c$[/tex]also exists and is equal to [tex]$Lf(c)$[/tex].
The complete question is:
Let [tex]$f$[/tex] and [tex]$g$[/tex] be functions defined on a domain[tex]$A$[/tex]. Prove that if [tex]$f$[/tex] is bounded, and [tex]$\displaystyle\lim_{x \rightarrow c} g(x)$[/tex]exists, then [tex]$\displaystyle\lim_{x \rightarrow c} f(x)g(x)$[/tex] exists.
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carbon-14 decays continuously at a rate of 0.0121% a year. if a 5-gram sample currently weighs 3.2-grams, how old is the sample?
Show your work
Answer:
Step-by-step explanation:
if 1 = 2 than 3 is 4
Write the equation of the line that passes through (17,-7) and (34,27)
Answer:2
Step-by-step explanation:
a 95% confidence interval for the true proportion of math students who prefer to use a handheld calculator versus computer software for computations is (0.751, 0.863). is it reasonable to believe more than 75% of math students prefer to use a handheld calculator versus computer software for computations?
It is reasonable to believe that more than 75% of math students prefer to use a handheld calculator versus computer software for computations because the lower bound of the confidence interval, 0.751, is above 0.75.
To determine this:
A 95% confidence interval for a proportion gives us an estimate of the range of values where the true proportion is likely to fall. The interval (0.751, 0.863) means that we are 95% confident that the true proportion of math students who prefer to use a handheld calculator versus computer software for computations falls between 0.751 and 0.863.
Given this information, it is reasonable to believe that more than 75% of math students prefer to use a handheld calculator versus computer software for computations because the lower bound of the confidence interval, 0.751, is above 0.75.
In other words, based on the sample data and the construction of the confidence interval, there is strong evidence that the true proportion of math students who prefer to use a handheld calculator is above 75%.
It's important to note that the confidence interval is only an estimate of the true proportion, and it's possible that the true proportion is not exactly within this interval. However, the 95% confidence level means that if we were to repeat the study many times, in about 95% of the cases, the interval would contain the true proportion.
To learn more about the confidence interval, visit:
brainly.com/question/29680703
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