Answer:
Length of the segment of a secant 'x' is 4 cm.
Step-by-step explanation:
If a secant and a tangent are drawn from a point outside the circle, then the product of the segments of the secant is equal to the square of the length of the tangent.
By this property,
\(4\times x = 8^2\)
\(4x = 64\)
\(x=\sqrt{16}\)
\(x=4\) cm
Therefore, length of the segment of a secant 'x' is 4 cm.
(2∧-4)∧-4÷2∧4×2∧2 what is the answer please help me
Answer:
can u please upload a picture of the problem
Step-by-step explanation:
im gonna try to do my best to help you
Answer:
(2∧-4)∧-4÷2∧4×2∧2
The only answer it has is 16384
I hope this helps you.
Given that
y
= 6 cm and
θ
= 55°, work out
x
rounded to 1 DP.
x rounded to 1 decimal place is approximately 3.4 cm.
To work out the value of x, we can use the trigonometric function cosine (cos).
The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.
In this case, the length of the adjacent side is
x, and the length of the hypotenuse is 6 cm.
The given angle θ is 55°.
Using the cosine function, we have:
\(cos(\theta ) =\frac{adjacent }{hypotenuse}\)
\(cos(55^{\circ}) =\frac{x}{6}\)
To solve for x, we can rearrange the equation:
\(x = 6 \times cos(55^{\circ})\)
Now we can calculate x using the given values:
\(x \approx 6 \times cos(55^{\circ})\)
\(x \approx 6 \times 0.5736\)
\(x \approx 3.4416\)
Therefore, x rounded to 1 decimal place is approximately 3.4 cm.
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on her way home from work, janet drives through several tollbooths. is there a pair of these tollbooths that are less than 10 miles apart?
We can write a computer program to generate all possible combinations of five elements of the set S and compute M for each combination, where M is a maximum and S is the set of work booths
How can we calculate if there are a couple of cabins within 10 miles?As Janet drives through several toll booths on her way home from work, we need to find out if there are a couple of these toll booths that are less than 10 miles away. Let the toll booths be represented by real numbers. Let the set of toll booths be S = {a, b, c, d, e, f} where a < b < c < d < e < f.
For example, a is the distance from the starting point to the first travel cabin, b is the distance between the first and second travel cabin, and so on. We can represent the distance between any two toll booths as the difference of two numbers in the set S. Let's find the difference between the positions of the toll booths by subtracting them.
The possible differences between two toll booths are given by the set D = {b - a, c - b, d - c, e - d, f - e}. We have to check if any difference is less than 10 miles or not. To check whether any difference is less than 10 miles or not, let's take the largest difference and subtract the smallest difference.
This gives us the maximum difference between two transport cabins, which we can then compare to 10. Let M be the maximum difference and m be the minimum difference.
M = max{b - a, c - b, d - c, e - d, f - e}
m = min{b - a, c - b, d - c, e - d, f - e}
So M - m will be less than 10 miles if and only if M < 10 + m. Now, since S has six elements, there are five differences, and we need to find the minimum value of M for all possible five-element options in S.
To do this, we can write a computer program to generate all possible combinations of five elements of the set S and calculate M for each combination. The minimum value of M is the answer. Therefore, we can confirm if there are a couple of these travel cabins that are less than 10 miles apart or not.
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Solve the triangle. Angle A is opposite side a, Angle B is opposite side b, and angle C is opposite side c. Round final answers to nearest 10th
Given data : side a = 18, side c = 27, angle A = 29 degrees.
Solving a Triangle:
A triangle is a convex polygon having three sides and three angles. Solving a triangle means finding the value of three of the six measurements when we know three of these measurements. The six measurements in a triangle are the lengths of three sides and the measure of three angles. In the given three measurements one of them must be the length of the side because by only knowing the angles we cannot find the length of the sides.
For solving the triangles we generally use the law of sines which states that sinAa=sinBb=sinCc
where, A,B,C
denotes the measurements of angles of the triangle and a,b,c
denotes the lengths of the sides opposite to the angles respectively.
Another important law used is the law of cosines which directly gives equations that relate the cosine ratio of an angle and lengths of the sides. It is a generalization of the Pythagoras theorem. It is given as, c2=a2+b2?2abcosCa2=b2+c2?2bccosAb2=a2+c2?2accosB
The approximate values triangle for angle B, angle C, and side b are B ≈ 54.4 degrees, C ≈ 96.6 degrees, and b ≈ 36.8 units, respectively, rounded to the nearest 10th.
Given data:
Side a = 18
Side c = 27
Angle A = 29 degrees
Step 1: Find angle B using the law of sines:
sin(B)/c = sin(A)/a
sin(B)/27 = sin(29°)/18
sin(B) = (27sin(29°))/18
B = arcsin((27sin(29°))/18)
Step 2: Find angle C using the fact that the sum of angles in a triangle is 180 degrees:
C = 180° - A - B
C = 180° - 29° - B
Step 3: Find side b using the law of sines:
sin(C)/c = sin(A)/a
sin(C)/27 = sin(29°)/18
sin(C) = (27 × sin(29°))/18
b = (sin(C) × a)/sin(A)
Step 4: Substitute the given values into the equations and calculate the approximate values using a calculator:
B ≈ arcsin((27 × sin(29°))/18) ≈ 54.4 degrees
C ≈ 180° - 29° - 54.4° ≈ 96.6 degrees
b ≈ (sin(96.6°)*18)/sin(29°) ≈ 36.8
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The question is -
Solve the triangle. Angle A is opposite side a, Angle B is opposite side b and Angle C is opposite side c. Round final answers to the nearest 10th
Given data: side a = 18, side c = 27, angle A = 29 degrees.
(b) The perimeter of a rectangular window is 298 cm.
If the length of the window is 81 cm, what is its width?
Width of the window: cm
Answer:
68
Step-by-step explanation:
81 +81 is 162
298-162=136
136/2=68
what is the answer to this question it is called (Solve Linear System Graphically (Lev. 1)
x≥ 0 , everthing to the right of the y-axis
y≥ 0 , everthing above the x-axis
So far you are in quadrant I of the x-y plane
y ≤ 3 , everthing from the above, but also below the horizontal line y = 3
lastly y ≤ -x + 5
sketch a line leaning 45° to the left with a y-intercept of 5, shade in everthing below that line
My diagram has a simple trapezoid consisting of a
rectangle with a right-angled triangle attached
now our Objective Function is
C = -5x + 3y , which is a line with slope 5/3
letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin.
On my diagram that looks like (5,0)
Find the value of x.
Answer:
Step-by-step explanation:
remember the complementary angles,
the angle at the base, near the 78 degrees is 180-78=102, so we have a value for an angle inside the triangle
the acute angle near the 157 is 23 degrees,
we have now the angle near the x equal to
180-(102+23)=55 degrees
x=180-55=125 degrees
In triangle XYZ, Z = 46 cm, x = 45 cm and ZY=81º. Find the length of y, to the nearest
centimeter.
Find the area. Round your answer to the
nearest tenth.
1.
3.
3 m
18 in.
2.
4.
25 ft
(Just the two bottom ones)
a) The area of the first circle is approximately 254.34 square inches
b) The area of the second circle is approximately 70650 square inches.
a) The area of a circle can be calculated using the formula A = πr², where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
For the first circle with a diameter of 18 inches, we can find the radius by dividing the diameter by 2:
r = 18/2 = 9 inches
Now we can calculate the area using the formula:
A = πr² = 3.14 x 9² = 254.34 square inches
Therefore, the area of the first circle is approximately 254.34 square inches.
b) For the second circle with a diameter of 25 feet, we need to convert the diameter to inches, since our formula uses radius in inches:
25 feet = 25 x 12 inches = 300 inches
Then we can find the radius by dividing by 2:
r = 300/2 = 150 inches
Now we can calculate the area using the formula:
A = πr² = 3.14 x 150² = 70650 square inches
Therefore, the area of the second circle is approximately 70650 square inches.
Note that the units for the second calculation are in square inches, not square feet, because we used the formula that requires radius in inches.
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hospital records show that 12% of all patients are admitted for heart disease, 16% are admitted for cancer (oncology) treatment, and 4% receive both coronary and oncology care. what is the probability that a randomly selected patient is admitted for coronary care, oncology or both? (note that heart disease is a coronary care issue.)
The probability of randomly selected patient selected for coronary, oncology or both is equal to P( H∪C ) = 0.24.
Let patient admitted with heart disease represented by P(H)
P(H) = 12%
= 0.12
And patient admitted for cancer disease represented by P(C)
P(H) = 16%
= 0.16
Percent of patient received both coronary and oncology = 4%
P( H∩C ) = 0.04
Probability of randomly selected patient admitted for coronary, oncology or both is :
P( H∪C ) = P(H) + P(C) - P(H∩C )
⇒P( H∪C ) = 0.12 + 0.16 - 0.04
⇒ P( H∪C ) = 0.24
Therefore, the probability of randomly selected patient getting treatment for coronary, oncology or both is given by P( H∪C ) = 0.24.
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The diagram shows two right-angled triangles that share a common side. 6 10. Show that x is between 11 and 12.
We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:
Triangle 1:
Side adjacent to the right angle: 6 (let's call it 'a')
Side opposite to the right angle: x (let's call it 'b')
Triangle 2:
Side adjacent to the right angle: x (let's call it 'c')
Side opposite to the right angle: 10 (let's call it 'd')
Using the Pythagorean theorem, we can write the following equations for each triangle:
Triangle 1:\(a^2 + b^2 = 6^2\)
Triangle 2: \(c^2 + d^2 = 10^2\)
Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:
\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)
Substituting b = c, we get:
\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)
Now, let's add these two equations together:
\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)
Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12
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how to solve this equation
x2-5x=0
Answer:
x = 5
Step-by-step explanation:
x² - 5x = 0
(x² - 5x) /x = 0/x
x²/x - 5x/x = 0
x - 5 = 0
x = 5
Check:
x² - 5x = 0
5² - 5*5 = 0
25 - 25 = 0
The solution to the equation is:
x = 0 or x = 5
How to solve the equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
We have:
x²-5x = 0
We can solve the equation as follow:
x²-5x = 0
Factorize:
x(x - 5) = 0
x = 0 or (x -5) = 0
x = 0 or x = 5
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please help its a math problem
An iPhone costs $1400 loses 3/8 of its value each year. What is the value of the iPhone after 3 years?
Question 6 options:
$341.80
$546.88
$1398.86
$73.83
Answer:
$341.80
Step-by-step explanation:
Value after 1 year :
1400 x (1 - 3/8)1400 x 5/825 x 7 x 5125 x 7$875Value after 2 years :
875 x 5/84375/8$546.88Value after 3 years :
546.88 x 5/82734.40/8$341.80❗CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST + 25 POINTS❗
simply fully:
\( \sqrt{12} \)
thanks xx
\( \sqrt{12} \\ = \sqrt{4 \times 3} \\ = \sqrt{2 \times 2 \times 3} \\ = 2 \sqrt{3} \)
The answer is 2√3.
\( \sqrt{12} \\ = \sqrt{2 \times 2 \times 3} \\ = \boxed{ 2 \sqrt{3} }\)
In ΔCDE, the measure of ∠E=90°, the measure of ∠D=50°, and DE = 8. 1 feet. Find the length of CD to the nearest tenth of a foot
Answer:
12.6 ft
Step-by-step explanation:
Trig functions relate the sides and angles in a right triangle. Here, we're given an angle and an adjacent side, and we're asked to find the hypotenuse. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(50°) = DE/CD = (8.1 ft)/CD
Solving for CD, we find ...
CD = (8.1 ft)/cos(50°) ≈ 12.601 ft
The length of CD is about 12.6 feet.
Select the correct answer.
In 2001, the value of a plot of land is $12,000. Each year, the value of the plot increases by 8%.
Which equation accurately describes the value of the plot, f(x), x years after 2001?
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
Taking the equation for this we can see that A is using 8 to multiply. 8% = 0.08. But since the percent is increases it would be 1.08. So we can see that it cant be A, this applys for B as well. For D it says 1.8 which is close but that would be 80% not 8%. So now we can see that C is the answer.
what is the value of the t score for a 95% confidence interval if we take a sample of size 17?
The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The confidence interval = 95%
And, Size of sample = 17
Now,
Since, The confidence interval = 95%
And, Size of sample (n) = 17
Hence, The degree of freedom (n - 1) = 16
Thus, The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.
Therefore, The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.
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When a number is increased by 3 and the result is multiplied by 2, the product is 14. What is the number?
I WILL MARK BRAINLIEST IF YOU HELP ME PLZ I NEED TO GIVE THIS IN!!!
Answer:
4
Step-by-step explanation:
u divide 14 by 2 and then subtract 3
hope this helps!
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
O A. y=3x+4
OB. y= 3x - 14
O cy=3x-4
OD. y= 3x+12
Answer:
y = 3x + 4
Step-by-step explanation:
Given:
Coordinates
(-3 , -5)
Slope m = 3
Find;
Equation of slope
Computation:
Given, x1 = -3 and y1 = -5
Equation of slope = y - y1 = m(x - x1)
Equation of slope = y - (-5) = 3(x + 3)
Equation of slope = y + 5 = 3x + 9
Equation of slope = y = 3x + 9 - 5
Equation of slope = y = 3x + 4
y = 3x + 4
a fisherman in a boat is drinking a cup of hot coffee. the large lake below his boat is full of cold water. which statement is an accurate comparison of the lake water and the coffee?(1 point)
A comparison of hot coffee and cold lake is, the heat from the coffee will be absorbed by the cold lake through convection method of heat transfer.
What is convection ?Heat is transferred through the convection, which is basically large-scale movement of molecules inside gases and the liquids. Conduction is basically used to move heat from one of the object to the fluid initially, but fluid motion is all responsible for the bulk of the heat transfer.
Convection is a process by which heat is always transferred through fluids as a result of the material motion.It occurs as in both gases and the liquids.It could be forced or be natural.Bulk transfers of some of the given fluid are necessary.Conservation of energy
The principle of conservation of the energy states that the total energy of an isolated system is always in conserved state.
Heat lost by all the hot coffee = Heat absorbed by all the cold lake
Heat transfer process
Heat from the coffee will all be absorbed by the cold lake through convection method of the heat transfer.
Thus, the comparison of hot coffee and the cold lake is, the heat from the coffee will all be absorbed by the cold lake through convection method of the heat transfer.
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Which angle has a measure equal to the sum of the m∠SQR and the m∠QRS? ∠RSC ∠SRE ∠DQS ∠QSR
angle has a measure equal to the sum of the the question is ∠DQS.
According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.
Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.
Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.
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A motor boat whose speed is 18 km/h in still water. It takes 1 hour more to go
24 km upstream than to return downstream to the same spot. Find the speed of the boat?
The speed of the stream is 6 \(km/h\)
Let the speed of the stream be x km/h.
Therefore, the speed of the boat upstream = (18 – x) km/h, and the speed of the boat
downstream = (18 + x) km/h.
The time is taken to go upstream = distance/speed
\(24/(18-x)\) hours.
Similarly, the time is taken to go downstream =
\(24/(18+x)\) hours.
According to the question,
\(24/(18-x) - 24/(18+x) = 1\)
\(x^{2} +48x-324=0\)
Using the quadratic formula, we get
\(x=\frac{-48+\sqrt{48^{2}+1296 } }{2}\)
x = 6 or -54
Since x is the speed of the stream, it cannot be negative. So, we ignore the root x = – 54.
Hence the speed of the stream is 6 km/h.
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A lumber company has 40,000
boards in stock. A construction
company bought 500 boards for
each of its construction projects. If
the lumber company has 12,000
boards left, how many construction
projects did the company have?
Answer:
12500
Step-by-step explanation:
we all know this is not high school math -_-
Using the .01 level of significance means that, in the long run, 1) a Type I error occurs 1 time in 100. O2) a Type I error occurs 1 time in 20. 3) a Type II error occurs 1 time in 20. 4) a Type II error occurs 1 time in 100.
Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).
A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.
By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).
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Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 8 minutes long. If Colby's video is 181 minutes long, how many skits are in his video?
27
17
23
22
Answer:
If we let "x" be the number of skits in Colby's video, then we can set up the following equation based on the information given:
5 minutes (for the introduction) + 8 minutes per skit (for "x" number of skits) = 181 minutes
Simplifying this equation, we get:
5 + 8x = 181
Subtracting 5 from both sides, we have:
8x = 176
Dividing both sides by 8, we get:
x = 22
Therefore, there are 22 skits in Colby's video. Answer: 22.
Pythagorean Theory Plz help
The longest side is always the hypotenuse
0. the population mean annual salary for acme corporation is $63,500. what is the probability that the mean salary of a person selected at random will have a salary that is less than $61,000? assume ????
To find the probability that the mean salary of a person selected at random from Acme Corporation is less than 61,000, we can use the Z-score formula.
First, we need to calculate the Z-score, which measures the number of standard deviations a value is away from the mean. The formula for the Z-score is:
Z = (X - μ) / (σ / √n)
Where:
- X is the value we are interested in (in this case, $61,000)
- μ is the population mean annual salary for Acme Corporation ($63,500)
- σ is the population standard deviation (unknown in this case)
- n is the sample size (unknown in this case)
Since we don't have the population standard deviation or sample size, we cannot calculate the exact Z-score. Therefore, we cannot find the exact probability.
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Based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.
The probability of a person selected at random having a salary less than $61,000 can be determined using the z-score and the standard normal distribution.
To calculate the z-score, we need to know the population standard deviation. Since it is not provided, we cannot calculate the exact probability. However, we can use the assumption that the population standard deviation is the same as the sample standard deviation.
Let's assume the sample standard deviation is $5,000.
First, we calculate the z-score:
\(z = (x - \mu) / (\sigma / \sqrt n)\)
=> z = (61000 - 63500) / (5000 / √1)
=> z = -2500 / 5000
=> z = -0.5
Next, we find the corresponding area under the standard normal curve using a z-table or a calculator. The area to the left of -0.5 is approximately 0.3085.
Therefore, the probability that a person selected at random will have a salary less than $61,000 is approximately 0.3085 or 30.85%.
In conclusion, based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.
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which is a function? {(8,9),(−2,9),(7,5),(−4,−7)} {(−5,−7),(−5,4),(−2,−8),(3,5)} {(8,0),(−4,−2),(7,1),(0,0)} {(−8,3),(−5,−7),(−4,5),(9,3)}
Answer:
All but the second {(8,9),(−2,9),(7,5),(−4,−7)} {(8,0),(−4,−2),(7,1),(0,0)} {(−8,3),(−5,−7),(−4,5),(9,3)}Step-by-step explanation:
Function means that for each x we get y, and no no x gives two different y-es
{(−5,−7),(−5,4),(−2,−8),(3,5)} for x = -5 we have two different y-es therefore its not function
The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 115 182 255 419 442 461 517 739 743 789 807 865 925 984 1026 1063 1064 1165 1191 1222 1222 1252 1277 1290 1358 1369 1409 1455 1479 1519 1578 1578 1599 1604 1605 1696 1736 1799 1815 1853 1899 1926 1966
(a) Can a confidence interval for true average lifetime be calculated without assuming anything about the nature of the lifetime distribution?
(b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: mean=1191.6, s=506.6.]
(a) Yes, a confidence interval for the true average lifetime can be calculated without assuming anything about the nature of the lifetime distribution.
(b) Using the given data, we can calculate a confidence interval with a 99% confidence level for the true average lifetime, with a mean of 1191.6 and a standard deviation of 506.6.
(a) It is possible to calculate a confidence interval for the true average lifetime without assuming any specific distribution. This can be done using methods such as the t-distribution or bootstrap resampling. These techniques do not require assumptions about the underlying distribution and provide a reliable estimate of the confidence interval.
(b) To calculate a confidence interval with a 99% confidence level for the true average lifetime, we can use the sample mean (1191.6) and the sample standard deviation (506.6). The formula for calculating the confidence interval is:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
The critical value depends on the desired confidence level and the sample size. For a 99% confidence level, the critical value can be obtained from the t-distribution table or statistical software.
The standard error is calculated as the sample standard deviation divided by the square root of the sample size.
Once we have the critical value and the standard error, we can calculate the confidence interval by adding and subtracting the product of the critical value and the standard error from the sample mean.
Interpreting the confidence interval means that we are 99% confident that the true average lifetime falls within the calculated range. In this case, the confidence interval provides a range of values within which we can expect the true average lifetime of individuals suffering from blood cancer to lie with 99% confidence.
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Me again please help!
Answer:
the answer is true
false
true
Answer:
False
True
False
I'm not trying to be mean but the other person is wrong I hope this helped you tho :)