Answer:
C
Step-by-step explanation:
y-intercept is not 1. It is -2
A college professor stops at McDonald's every morning for 10 days to get a number 1 value meal costing $5.39. On the 11th day he orders a number 8 value meal costing $4.38.
Which of the following are true?
Select all that apply.
Select one or more:
1) During the first 10 days the professor's standard deviation was more than 0.
2) During the first 10 days the professor's standard deviation was less than 0.
3) During the first 10 days, the professor's standard deviation was 0.
4) It is impossible to tell anything about the professor's standard deviation for the first 10 days.
5) Considering all 11 days, the professor's standard deviation was lower than the standard deviation of the first 10 days.
6) Considering all 11 days, the professor's standard deviation was higher than the standard deviation of the first 10 days.
7) Considering all 11 days, the professor's standard deviation was the same as the standard deviation of the first 10 days.
8) Considering all 11 days, It is impossible to tell anything about the professor's standard deviation compared to the first 10 days
The following statements are true:
1. During the first 10 days the professor's standard deviation was more than 0.
4. It is impossible to tell anything about the professor's standard deviation for the first 10 days.
6. Considering all 11 days, the professor's standard deviation was higher than the standard deviation of the first 10 days.
How to explain the informationThe standard deviation is a measure of how spread out a set of data is. In this case, the data is the prices of the value meals that the professor orders. If all 10 of the first meals cost $5.39, then the standard deviation would be 0.
This is because there is no variation in the data. However, on the 11th day, the professor orders a meal that costs $4.38. This adds variation to the data, which means that the standard deviation will be greater than 0.
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a culture contains 10,000 bacteria initially. after an hour the bacteria count is 25,000. (a) find the doubling period. (b) find the number of bacteria after 3 hours.
what are the vales of x and y?
Answer:
x = 6.75
y = 11.25
Step-by-step explanation:
Triangle BDC is a right triangle with BC is hypotenuse
=> y^2 = x^2 + 9^2
Triangle ABC is a right triangle with AC is hypotenuse
=> (12 + x)^2 = 15^2 + y^2
Substitute 2 equations then we have
(12 + x)^2 = 15^2 + (x^2 + 9^2)
x^2 + 24x + 144 = 225 + x^2 + 81
24x = 306 - 144
24x = 162
x = 162/24 = 6.75
y^2 = x^2 + 9^2
y^2 = 6.75^2 + 9^2
y^2 = 126.5625
y = √126.5625 = 11.25
The red line segment on the number line below represents the segment from A to B, where A = 4 and B = 12. Find the value of the point P on segment AB that is of the distance from A to B.
Point P would have a value of 8 if it is located at the midpoint of the segment AB.
The distance from A to B is 12 - 4 = 8 units. Let's assume we want to find point P, which is a certain fraction, let's say x, of the distance from A to B.
The distance from A to P can be calculated as x * (distance from A to B) = x * 8.
To find the value of point P on the number line, we add the calculated distance from A (4) to the value of A:
P = A + (x * 8) = 4 + (x * 8).
In this form, the value of point P can be determined based on the specific fraction or proportion (x) of the distance from A to B that you are looking for.
For example, if you want point P to be exactly halfway between A and B, x would be 1/2. Thus, the value of point P would be:
P = 4 + (1/2 * 8) = 4 + 4 = 8.
Therefore, point P would have a value of 8 if it is located at the midpoint of the segment AB.
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Question
The red line segment on the number line below represents the segment from A to B, where A = 4 and B = 12. Find the value of the point P on segment AB that is of the distance from A to B.
f(x) = (x + 1)(x - 3)(x-4)
Michael is planning to put fencing along the edge of his rectangular backyard, which is 22 yards by 16 yards. One long side of the backyard is along his house, so he will need to fence only 3 sides. How many yards of fencing will michael need?.
Michael will need 54 yards of fencing.
Dimensions of Michael's rectangular yard = 22 yards, 16 yards
Length of Michael's rectangular yard = 22 yards
Breadth of Michael's rectangular yard = 16 yards
Perimeter of Michael's yard = 2 [l+b] = 2 [22+16] = 2×38 = 76 yards
As Michael nee
ds to fence only 3 sides leaving a long side, so he needs to fence = perimeter - length = 76-22 = 54 yards
Hence, Michael will need 54 yards of fencing.
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This is a personal question what does 61.5 mean in height i wanna know for math class
hurry this is urgent im on a timer
Answer:
So 61.5 inches I'm guessing in feet would be 5.125 feet. You just divide 61.5 by 12 to get your answer.
Step-by-step explanation:
Cocaine addiction is hard to break. Addicts need cocaine to feel any pleasure, so perhaps giving them an antidepressant drug will help. An experiment assigned 72 chronic cocaine users to take either an antidepressant drug called desipramine, lithium, or a placebo. One-third of the subjects, chosen at random, received each drug. Here are the results after three years. Desipramine 10 14 Lithium 18 Placebo 20 Relapse No Relapse 6 4 Assuming the sample is representative of all cocaine addicts and assuming that one addict is selected at random, use the table to find the following probabilities. (a) What is the probability a randomly selected cocaine addict receives lithium? (b) What is the probability a randomly selected cocaine addict relapses? (c) What is the probability a randomly selected cocaine addict relapses or receives lithium? (d) What is the probability a randomly selected cocaine addict relapses and receives lithium? (e) What is the probability a randomly selected cocaine addict who relapsed received desipramine? (1) What is the probability a randomly selected cocaine addict who received desipramine will relapse? (g) What is the probability a randomly selected cocaine addict who received lithium will relapse? (h) What is the probability a randomly selected cocaine addict who received a placebo will relapse? (i) Given a randomly selected cocaine addict does not relapse, what is the probability he/she received lithium?
(a) The probability a randomly selected cocaine addict receives lithium is 1/3 or approximately 0.33. (b) The probability a randomly selected cocaine addict relapses is 20/72 or approximately 0.28. (c) The probability a randomly selected cocaine addict relapses or receives lithium is (18 + 20)/72 or approximately 0.53.
(d) The probability a randomly selected cocaine addict relapses and receives lithium is 18/72 or approximately 0.25. (e) The probability a randomly selected cocaine addict who relapsed received desipramine is 10/20 or 0.5.
In the given experiment, 72 chronic cocaine users were randomly assigned to three groups: desipramine, lithium, or placebo. After three years, the results showed that 10 out of 20 patients who received desipramine relapsed, 18 out of 72 patients who received lithium relapsed, and 20 out of 72 patients who received a placebo relapsed.
To calculate the probabilities, we divide the number of relevant outcomes by the total number of outcomes. Therefore, the probability a randomly selected cocaine addict receives lithium is 1/3 since one-third of the subjects were assigned to take lithium. The probability a randomly selected cocaine addict relapses is 20/72 because 20 out of 72 patients experienced a relapse. The probability a randomly selected cocaine addict relapses or receives lithium is (18 + 20)/72 since there were 18 relapses in the lithium group and 20 relapses in the placebo group. The probability a randomly selected cocaine addict relapses and receives lithium is 18/72, considering only the patients who received lithium. Lastly, the probability a randomly selected cocaine addict who relapsed received desipramine is 10/20 because 10 out of 20 patients who relapsed were in the desipramine group.
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Asx approaches negative infinity, for which of the following functions does f(x) approach positive infinity? Select all that apply. Select all that apply: f(x) =2x5 Ofx)9x +100 f(x)= 6x8 +9x6+32 f(x)=-8x3 + 11 f(x)=-10x +5x+ 26 f(x)=-x +8x4 + 248
Among the provided functions, the ones that approach positive infinity as x approaches negative infinity are:
- f(x) = 2x^5
- f(x) = 6x^8 + 9x^6 + 32
- f(x) = -x + 8x^4 + 248
To determine which functions approach positive infinity as x approaches negative infinity, we need to analyze the leading terms of the functions. The leading term dominates the behavior of the function as x becomes very large or very small.
Let's examine each function and identify their leading terms:
1. f(x) = 2x^5
The leading term is 2x^5, which has a positive coefficient and the highest power of x.
As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.
2. f(x) = 9x + 100
The leading term is 9x, which has a positive coefficient but a lower power of x compared to the constant term 100.
As x approaches negative infinity, the leading term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.
3. f(x) = 6x^8 + 9x^6 + 32
The leading term is 6x^8, which has a positive coefficient and the highest power of x.
As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.
4. f(x) = -8x^3 + 11
The leading term is -8x^3, which has a negative coefficient and the highest power of x.
As x approaches negative infinity, this term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.
5. f(x) = -10x + 5x + 26
Combining like terms, we have f(x) = -5x + 26.
The leading term is -5x, which has a negative coefficient but a lower power of x compared to the constant term 26.
As x approaches negative infinity, the leading term becomes very large and positive, indicating that f(x) approaches negative infinity, not positive infinity.
6. f(x) = -x + 8x^4 + 248
The leading term is 8x^4, which has a positive coefficient and the highest power of x.
As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.
Therefore, the correct choices are:
- f(x) = 2x^5
- f(x) = 6x^8 + 9x^6 + 32
- f(x) = -x + 8x^4 + 248
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Vector z = <5, -3> is subtracted from vector w = <-6, -5>. The magnitude of the resulting vector is approximately ______-, and its angle of direction is approximately ________-°.
Answer:
vector i think is <-11, 7>
Step-by-step explanation:
just subtract \_('o')_/
a significance test allows you to reject a null hypothesis h0 in favor of an alternative ha at the 5% significance level. what can you say about significance at the 1% level?
A significance test at the 5% level of significance allows us to reject the null hypothesis in favor of an alternative hypothesis, while a significance test at the 1% level of significance requires stronger evidence to reject the null hypothesis and reduces the chance of making a Type I error.
When conducting a significance test, the 5% level of significance is commonly used to determine whether to reject or fail to reject the null hypothesis. This level of significance means that there is a 5% chance of making a Type I error, which is the incorrect rejection of the null hypothesis. In other words, there is a 5% chance that we will conclude that there is a significant difference between groups when in reality there is no difference.
Now, if we lower the level of significance to 1%, we are reducing the chance of making a Type I error to 1%. This means that we are becoming more stringent in our decision-making process and requiring stronger evidence to reject the null hypothesis. Therefore, if we reject the null hypothesis at the 1% level of significance, we can be more confident that our results are statistically significant and not due to chance.
It is important to note that reducing the level of significance also increases the risk of making a Type II error, which is the failure to reject the null hypothesis when it is actually false. Therefore, when choosing a level of significance, it is important to consider the potential consequences of both types of errors and weigh the risks accordingly.
In summary, a significance test at the 5% level of significance allows us to reject the null hypothesis in favor of an alternative hypothesis, while a significance test at the 1% level of significance requires stronger evidence to reject the null hypothesis and reduces the chance of making a Type I error.
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Evaluate the definite integral by interpreting it in terms of areas. ∫ 3
8
(3x−15)dx
Therefore, the value of the definite integral ∫[3,8] (3x - 15) dx, interpreted as the signed area between the x-axis and the graph of the function over the interval [3, 8], is -75/2.
To evaluate the definite integral ∫(3x - 15) dx over the interval [3, 8], we can interpret it in terms of areas.
The integrand (3x - 15) represents a linear function, which corresponds to a straight line on a coordinate plane.
Interpreting the integral in terms of areas, we want to find the signed area between the x-axis and the graph of the function (3x - 15) over the interval [3, 8].
Let's break down the integral into two parts:
∫(3x - 15) dx = ∫(3x) dx - ∫15 dx
Integrating each term separately:
∫(3x) dx = \((3/2)x^2 + C1\)
∫15 dx = 15x + C2
Now, we can evaluate the definite integral over the interval [3, 8]:
∫[3,8] (3x - 15) dx = \([(3/2)x^2 + C1]\) evaluated from 3 to 8 - [15x + C2] evaluated from 3 to 8
=\([(3/2)(8)^2 + C1] - [(3/2)(3)^2 + C1] - [15(8) + C2] + [15(3) + C2]\)
Simplifying:
= [(3/2)(64) + C1] - [(3/2)(9) + C1] - [120 + C2] + [45 + C2]
= 96 + C1 - 27/2 - C1 - 120 - C2 + 45 + C2
C1 and C2 cancel out, leaving:
= 96 - 27/2 - 120 + 45
= -27/2 - 24
= -27/2 - 48/2
= -75/2
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I will give brainliest
Answer:
First one is function because of the vertical line test.
Second one is not function because 2 have the same x coordinate.
Third one is function because it doesn't have the same x coordinate.
MARK ME BRAINLIEST!
I keep getting the answer wrong to this question can anyone help?
Alan has forgotten his 4-digit PIN code.
He knows it begins with a 2 and the 4 digits make an odd number.
How many different sets of 4 digits could it be?
Answer:
500 possibles
Step-by-step explanation:
First number 2 <==== one choice
Second number 10 choices ( 0 - 9 )
Third number 10 choices ( 0 - 9)
Fourth number 5 choices ( 1,3,5,7,9 )
1 x 10 x 10 x 5 = 500 possibles
Find the measurement of the angle in the given picture
help pls!!!! no links pls and thank you sm!!!
Answer:
after 10 months farm a and b have the same amount of animals
Step-by-step explanation:
hope this helps :)
Find the mid pint between each pair of points. Then, find the distance between each pair of points. If necessary, round to the nearest tenth.
1. C(3,8) D(0,3)
2. H(-2,4) I(4,-2)
3. K(1,-5) L(-3,-9)
4. M(7,0) N(-3,4)
5. O(-5,-1) P(-2,3)
6. R(0,-6) S(-8,0)
Refer to the attachment
The interior angles formed by the sides of a hexagon have
measures that sum to 720°.
What is the measure of angle A?
Enter your answer in the box
m/A=
(x-60)
B
(x-40) 130°
(x-20)°
F
110°
E
C
120° D
Answer:
100
Step-by-step explanation:
As stated, the interior angles formed by the sides of a hexagon have measures that sum to 720°.
To find the measure of angle A, we first need to find value of x:
110 + 120 + 130 + x-40 + x-60 + x-20 = 720 add like terms
3x + 240 = 720 subtract 240 from both sides
3x = 480 divide both sides by 3
x = 160 now replace x with 16 to find angle A
x-60 is 160 - 60 = 100
What is the answer to this
umm I don't know hehe oops
Answer:
Length of old board = 68.2cm
Step-by-step explanation:
Let old board length be x
Given new board is 120 % longer than old board = x + 120% of x
Length of new board = 150cm
Therefore,
x + 120% of x = 150
\(x + \frac{120}{100} x = 150\\\\x + 1.20x = 150\\\\2.2x = 150 \\\\x = 68.18 = 68.2cm\)
Choose the correct graph that shows the preimage and
image of a reflection of AABC over the x-axis.
The vertices of AABC are A(-5,2) B(4,5) and
C(3,-2)
Answer:
I think that would be A sorry if I'm wrong
Coll.
Find the LCM of each set of numbers.
1. 6, 7
2. 4, 5
5. 6, 11
8. 5, 10
4. 2,5
7. 3, 10
20
obiad hyp
3. 10, 11
6. 8, 10
9. 7,840 A
plate da W S
Answer:
The Lcm of Given Numbers.
1. 6,7 = 42 2. 4,5 = 20 3. 10, 11 = 110
4. 2,5 = 10 5. 6, 11 = 66 6. 8, 10 = 80
7. 3, 10 = 30 8. 5, 10 = 50 9. 7, 8 = 56
Step-by-step explanation:
Ok
best trick for Lcm you can multiply the given number and its answer is your Lcm of given numbers.
Thank you..
A beam of light in air is incident upon a stack of four flat transparent materials with indices of refration 1.20,1.40, 1.32, 1.28. If the angle of incidence for the beam on the first of the four materials is 60 degrees, what angle does the beam make with the normal when it emerges into the air after passing through the entire stack?
When the beam of light emerges into the air after passing through the entire stack, it makes an angle of approximately 29.4° with the normal.
We need to apply Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the indices of refraction for two different media.
Step 1: Calculate the angle of refraction in the first material using Snell's Law.
n1 * sin(i1) = n2 * sin(r1)
1 * sin(60°) = 1.20 * sin(r1)
sin(r1) = 0.5/1.20
r1 ≈ 25.4°
Step 2: Repeat the process for the remaining materials, using the previous angle of refraction as the new angle of incidence. Calculate the final angle of refraction in the last material.
For the second material:
1.20 * sin(25.4°) = 1.40 * sin(r2)
r2 ≈ 21.4°
For the third material:
1.40 * sin(21.4°) = 1.32 * sin(r3)
r3 ≈ 22.9°
For the fourth material:
1.32 * sin(22.9°) = 1.28 * sin(r4)
r4 ≈ 23.3°
Step 3: Calculate the angle of emergence in air.
1.28 * sin(23.3°) = 1 * sin(e)
e ≈ 29.4°
When the beam of light emerges into the air after passing through the entire stack, it makes an angle of approximately 29.4° with the normal.
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I need help with this one please!!!!
Answer:
V = 90 cm³
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = area of triangular face × length of prism
= \(\frac{1}{2}\) bh × 3
= \(\frac{1}{2}\) × 12 × 5 × 3
= 6 × 5 × 3
= 90 cm³
Money in a particular savings account increases by about 6% after a year how much money will be in the account after one year if the initial amount is $100 $50 $200 $125 x dollars if you get stuck consider using diagrams or a table to organize your work.
Step-by-step explanation:
CLICK ON THE ABOVE IMAGE I HAVE SOLVED .....PLS GIVE BRAINLIEST!! HOPE IT HELPS
The area of a rectangle can be represented by the
expression 3x2 - 5x - 2. Which expression could
represent the length of one side?
O (3x + 2)
0 (x + 2)
o (3x - 1)
o(x-2)
Previous
Next
Answer:
x - 2
Step-by-step explanation:
3x² - 5x - 2
Factor the trinomial.
(3x + 1)(x - 2)
Answer: x - 2
Prove that in an 8 ×8 checkerboard with alternating black and white squares, if the squares in the top right and bottom left corners are removed the remaining board cannot be covered with dominoes. (Hint: Mathematical induction is not needed for this proof.)
The as no two dominoes can cover an odd number of squares, the board cannot be covered by dominoes.
In an 8 x 8 checkerboard with alternating black and white squares, if the squares in the top right and bottom left corners are removed, the remaining board cannot be covered with dominoes. This is because a domino covers two adjacent squares, and removing the top right and bottom left corners creates a set of 7 x 7 squares, with an odd number of squares. Therefore, as no two dominoes can cover an odd number of squares, the board cannot be covered by dominoes.
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What is the greatest common factor of
10x2
+ 25x?
15x4
5
Step-by-step explanation:
your answer is 5 the greatest common factor is 5
10= 5
25=5
15= 5
Help ASAP! Will give brainliest
Answer:
10 units
Step-by-step explanation:
General equation of an ellipse
\(\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1 \quad \textsf{where }(h \pm a,k)\: \textsf{and}\:(h, k \pm b)\: \textsf{are the vertices}\)
Major Axis: longest diameter of an ellipse
Minor Axis: shortest diameter of an ellipse
Major radius: one half of the major axis
Minor radius: one half of the minor axis
If a > b the ellipse is horizontal, a is the major radius, and b is the minor radius.
If b > a the ellipse is vertical and b is the major radius, and a is the minor radius.
Given equation:
\(\dfrac{(y-4)^2}{25}+\dfrac{x^2}{9}=1\)
\(\implies \dfrac{x^2}{9}+\dfrac{(y-4)^2}{25}=1\)
Comparing with the general equation:
h = 0a² = 9 ⇒ a = 3k = 4b² = 25 ⇒ b = 5As b > a then the ellipse is vertical and b is the major radius.
⇒ Major axis = 2 × Major Radius
= 2b
= 2 × 5
= 10
Also, the vertices are:
(3, 4) and (-3 ,4)(0, 9) and (0, -1)
Investment question Part 2: $3,500 is invested at 7%. How much money
will be in the account after 17 years?
Answer:
$7665
Explanation:
simple interest: principal * rate (%) * time (years)
Given:
principal: $3,500
rate: 7%
time: 17 years
Solve for interest received:
3,500 * 7% * 17
$4165
Total money in account:
$4165 + $3,500
$7665