If Earle Bailey has 20 songs to choose from but can play only 7 in the next half‑hour, then there are 77520 possible playlists.
The given data is as follows:
Total number of songs = 20
Number of songs in the playlist = 7
So, it is given that we need to select 7 songs out of 20. This can be done using combinations.
Decimal notation is another appropriate way to describe fractional values in the calculation. This implies that base 10 is being used for the fractional indication. Both fractions and decimals can be altered.
The dissimilarity is that fractions and decimals are registered using different notations. We can visually determine how considerably of a full number we are operating to decimal notation.
Let us assume that n = 20 and r= 7
C( n, r ) = ?
C( n, r ) = C (20 , 7)
C( n, r ) = 20! / ( 7! (20-7)!)
C( n, r ) = 20! / ( 7! × 13! )
C( n, r ) = 77520
Therefore we can conclude that there are 77520 possible playlists.
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A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of
This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.
This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.
This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.
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Give the standard form for 900.000 000 + 50 50.000 000 + 9.000 + 600 + 20 + 7
Answer:
900.000 000 + 5050.000 000 + 9.000 + 600 + 20 + 7
=900+5050+9+600+20+7=6586 is standard one
F(x)=-4x^2+10x-8
What is the discriminant of f?
How many distinct real number zeros does f have?
The discriminant of f(x)is -28, and f(x) has no distinct real number zeros.
The expression\(b^{2}- 4ac\) gives the value of discriminant of the quadratic function with the form f(x) = \(ax^{2} + bx + c\). This result is obtained through using this formula on the quadratic function, where f(x) = \(-4x^{2}+ 10x - 8\): \(b^2 - 4ac = (10)^2 - 4(-4)(-8)\) = 100-128 = -28. Hence, -28 is the discriminant of f(x).
The discriminant informs us of the characteristics of the quadratic equation's roots. There are two unique real roots if the discriminant index is positive. There is just one real root (with a multiplicity of 2) if the discriminator is zero. There are only two complicated roots (no real roots) if discrimination is negative.
Given that f(x)'s discriminant is minus (-28), we can conclude that there are no true roots. F(x) contains two complex roots as a result. This is further demonstrated by the fact that the parabola widens downward and does not cross the x-axis, as indicated by the fact that the coefficient of the \(x^{2}\) term in f(x) is negative.
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The school library is buying boxes to store 32 books. Each box holds 6 books. How many boxes are needed to store all of the books?
Answer:
6
Step-by-step explanation:
32/6= 5.33333
Cant have half a box
Answer:
6 boxes
Step-by-step explanation:
30 divided by 6 is 5
plus another box for the extra two books
I hope this helps you out!
Which store has the best deal on t-shirts?
T-shirt Land: 6 pack of t-shirts for $15
Discount Tees: 10 pack of t-shirts for $27
The Shirt Shop: 4 pack of t-shirts for $12
Answer:
6 pack of t shirts for 15 :3
Step-by-step explanation:
(›)
Which is more, 1 tablespoon or 2 teaspoons?
Answer: 1 tablespoon
Step-by-step explanation:
Segment AB intersects the circle with center C . What statement correctly describes the relationship shown in the image?
Answer: Since the radius of the circle is perpendicular to AB, AB is tangent to the circle.
Step-by-step explanation:
Answer:
perpendicular and tangent
Step-by-step explanation:
Which expression is equivalent to -66.1 - (-55.6)?
Answer:
subtracting a negititive is the same as adding so -66.1+55.6
Hope This Helps!!!
Helpppp please points and brainlest
Answer:
answer is 1/2
Step-by-step explanation:
help me if u can thanks
The graph of the function y=3x+1 is shown.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
We are given that;
The function is y=3x+1
Now,
When x = 0, y = 3(0) + 1 = 1, so one point on the function is (0, 1).
When x = 1, y = 3(1) + 1 = 4, so another point on the function is (1, 4).
When x = -1, y = 3(-1) + 1 = -2, so a third point on the function is (-1, -2).
Therefore, the graph will be given the attachment
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100 Points competitions and whoever finishes this gets 100 points. (ON THE TOP OF QUESTION 12 IS ANSWERS QUESTION ANSWERS TO QUESTION 11 TOO!)
Answer:
1)25%
2)likely
3)1/4
4)46
5)10%
6)I am so sorry I have no clue
7)1/4 or 1/12
8)1/8 or 1/12
9)80%
10)80%
1/15
Step-by-step explanation:
I hope this helps.
Answer:
1)25%
2)likely
3)1/4
4)46
5)10%
6) second choice
7)1/4 or 1/12
8)1/8 or 1/12
9)80%
10)80%
1/15
Step-by-step explanation:
Omar and Caleb each had a repair made on their cars. The initial cost of each repair is $1,000. Omar and Caleb each have two coupons. Each of them uses both of his coupons toward the cost of the repair. One coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost. Omar and Caleb use their coupons in a different order, as shown below.
Answer:
854
Step-by-step explanation:
1000/15=66
1000-66-80=854
Evaluate the expressions for when x=-1, y=3, z=-2
z²+x²-y and x²y²z²
Step-by-step explanation:
z² +x² - y= -2²+ -1² - 3
4+ 1 - 3= 2
x²y²z²= -1²× 3²× -2²
1× 9× 4= 36
A student earned the scores in the data set in one course. {90, 87, 58, 79, 91} What is the mean of the scores?
Step-by-step explanation:
The formula of finding mean :- sum of terms
number of terms
91+90+87+79+58=405
5. 405/5=81/1.
The mean is 81/1.
PLEASE HELPPPPPPPPPPP MEEEEEEE
The following are the measures of angles and sides using the sine and cosine rules:
1). QR = 15, m∠P = 52°, m∠Q = 43°
2). BC = 21, DC = 10.4, m∠C = 22°
3). VX = 10.7, WX = 10.2, m∠V = 39°
4). HF = 18.4, m∠H = 28.7, m∠F = 15.3
What is the sine and cosine rulesThe sine rule is a relationship between the size of an angle in a triangle and the opposing side. While the cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
1). Using the sine rule:
19/sin85 = 13/sunQ
Q = sin⁻¹[(13 × sin85)/19] {cross multiplication}
Q = 43
m∠P = 180° - (85 + 43) = 52°
QR = sin⁻¹[(19 × sin52)/sin85]
QR = 15.
2). m∠C = 180 + (19 + 139) = 22°
Using the sine rule:
BC = (12 × sin139)/sin22
BC = 21.
DC = (12 × sin19)/sin22
DC = 10.4
3). m∠V = 180 - (41 + 100) = 39°
Using the sine rule:
VX = (16 × sin41)/sin100
VX = 10.7
WX = (16 × sin39)/sin100
WX = 10.2
4). Using the cosine rule:
HF² = 7² + 13² - 2(7)(13)cos136°
HF = √338.8491
HF = 18.4
applying sine rule;
F = sin⁻¹[(7 × sin136)/18.4]
F = 15.3
m∠H = 180 - (15.3 + 136) = 28.7
Therefore, the measures of angles and sides using the sine and cosine rules are:
1). QR = 15, m∠P = 52°, m∠Q = 43°
2). BC = 21, DC = 10.4, m∠C = 22°
3). VX = 10.7, WX = 10.2, m∠V = 39°
4). HF = 18.4, m∠H = 28.7, m∠F = 15.3
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Which coordinate plane shows that the shaded polygon in the image of the inside of polygon after 90° counterclockwise rotation about the origin?
Solution
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
\((x,y)-\longrightarrow(-y,x)\)When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.
ten students are arranged in a row. every minute, a new student is inserted in the row (which can occur in the front and in the back as well, hence 11 possible places) with a uniform 1 11 probability of each location. then, either the frontmost or the backmost student is removed from the row (each with a 1 2 probability). suppose you are the eighth in the line from the front. what is probability that you exit the row from the front rather than the back?
The probability that you exit the row from the front rather than the back is 1/2.
How do you determine probability?The probability is calculated by dividing the total number of outcomes by the number of possible ways the event could occur. Probability and odds are two separate ideas. Odds are the possibility of something happening divided by the likelihood that it won't happen.
What is fundamental probability in math?A probability is a number that expresses the possibility or likelihood that a specific event will take place. In addition to being expressed as percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.
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A line passes through (-1,1) and 3,9 what is the equation of the line in slope intercept form
The equation of the line in slope intercept form based on the location of two points is (2x + 3).
To find the equation of line in slope intercept form, we need to calculate the slope first. The formula is -
Slope = (\( y_{2}\) - \( y_{1}\))/(\( x_{2}\) - \( x_{1}\))
Keep the values in formula
Slope = (9-1)/(3-(-1))
Add the values in numerator and denominator
Slope = 8/4
Divide the values
Slope = 2
The equation of line in slope intercept form is -
y - \( y_{1}\) = m(x - \( x_{1}[/tex)
Again keeping values
y - 1 = 2(x - (-1))
Multiply the values on RHS
y - 1 = 2(x + 1)
y - 1 = 2x + 2
Simplify the equation
y = 2x + 3
Hence, the equation is 2x + 3.
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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PLEASSSSSEEE HELPPP ASPPP PLEASEEE
Answer:
x=1
i hope this helps!
Step-by-step explanation:
x+2/-1 =3
x+2 (1) =3
x+2 = 3
x=1
find locus of a point which moves so that
it's distance from the point (2,1) is double its distance from (1,2)
Answer:
hi,
Step-by-step explanation:
Let say P=(x,y) a point of the locus
\(Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\\)
\(3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\\)
Locus is the circle of center (2/3,7/3) and radius =2√2 /3.
Eric makes a fruit salad. He uses 12 cup blueberries, 23cup strawberries, and 34 cup apples.
How much fruit did Eric use in all?
To find the total amount of fruit Eric used, we need to add together the amounts of blueberries, strawberries, and apples.
Blueberries: 12 cups
Strawberries: 23 cups
Apples: 34 cups
To find the total amount of fruit, we add these quantities:
Total amount of fruit = 12 cups + 23 cups + 34 cups
Performing the addition:
Total amount of fruit = 69 cups
Therefore, Eric used a total of 69 cups of fruit in his fruit salad.
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Point B is reflected over the y-axis to create B’. Use an ordered pair to name the location of B’, and determine the distance between point B and B’.
Answer:
2xStep-by-step explanation:Point B is reflected over the y-axis to create B’. Use an ordered pair to name the location of B’, and determine the distance between point B and B'.
Step 1: Negate the x-coordinate: Multiply the x-coordinate of point B by -1. -> B' = (-x, y)
Step 2: Now, you have the coordinates of point B' as (-x, y). You can name the location of B' using this ordered pair.
> B' = (-x, y)
Step 3: To determine the distance between point B and B', you can use the distance formula. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) as follows:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of point B are (x, y), and the coordinates of point B' are (-x, y).
Distance = sqrt(((-x) - x)^2 + (y - y)^2)
=> sqrt((-2x)^2 + 0)
=> sqrt(4x^2)
=> 2x
Therefore, the distance between point B and B' is 2x, where x represents the x-coordinate of point B.Find the probability of finding number less than or equal to 10.
1 is the answer
Step-by-step explanation:
Number of possible outcomes = 10
Total number of outcome = 10
Probability = \( \frac{Number \: of \: possible \: outcomes}{Total \: number \: of \: outcome}\)
\( = > \frac{10}{10}\)
\( = > 1\)
Hence, the probability of finding number less than or equal to 10 is \(1\)
he sample mean and sample standard deviation of all san francisco student scores on the most recent scholastic aptitude test examination in mathematics were
The given information mentions the sample mean and sample standard deviation of San Francisco student scores on the most recent Scholastic Aptitude Test (SAT) examination in mathematics.
To fully interpret the given information, we would need the numerical values of the sample mean and sample standard deviation. The sample mean represents the average score of the students on the SAT math examination, while the sample standard deviation measures the variability or spread of the scores around the mean.
These statistics provide valuable insights into the performance of San Francisco students on the SAT math examination. The sample mean gives an indication of the typical score achieved by the students, while the sample standard deviation helps assess the dispersion or diversity of scores. A higher standard deviation suggests a wider range of scores, indicating greater variability among the students' performance. Conversely, a lower standard deviation suggests more consistency in scores.
Without the specific values of the sample mean and sample standard deviation, we cannot provide further analysis or interpretation of the data.
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The concentration, C, in ng/ml, of a drug in the blood as a function of the time, t, in hours since the drug was administered is given by C=15 te −0.2t. The area under the concentration curve is a measure of the overall exposure of a person to the drug. Find the total exposure provided by the drug between t=0 and t=4. Round your answer to two decimal places. Exposure = (ng/ml)-hours
The total exposure provided by the drug between t=0 and t=4 is approximately 112.18 ng/ml-hours.
Here, we have,
To find the total exposure provided by the drug between t=0 and t=4,
we need to calculate the definite integral of the concentration function
C = 15t\(e^{-0.2t}\) with respect to t over the interval [0, 4].
The formula for the total exposure is given by:
Exposure = ∫[0, 4] (C(t) dt)
Substituting the given concentration function into the integral, we have:
Exposure = ∫[0, 4] (15t\(e^{-0.2t}\) dt)
To evaluate this integral, we can use integration by parts. Let's differentiate 15t and integrate \(e^{-0.2t}\) :
∫(15tt\(e^{-0.2t}\) dt) = -75\(e^{-0.2t}\) + 15 ∫\(e^{-0.2t}\) dt)
Now, let's integrate \(e^{-0.2t}\) :
∫\(e^{-0.2t}\) dt) = (-1/0.2)\(e^{-0.2t}\) = -5\(e^{-0.2t}\)
Plugging this back into the previous equation, we have:
∫(15t\(e^{-0.2t}\) dt) = -75\(e^{-0.2t}\) - 75\(e^{-0.2t}\)
Now, we can evaluate the definite integral:
Exposure = [-75\(e^{-0.2t}\) - 75\(e^{-0.2t}\) ] evaluated from t=0 to t=4
Exposure = [-75\(e^{-0.24}\) - 75\(e^{-0.24}\)] - [-75\(e^{-0.20}\)- 75\(e^{-0.20}\)]
Exposure = [-75\(e^{-0.8}\) - 75\(e^{-0.8}\)] - [-75 - 75]
Exposure = -75\(e^{-0.8}\) + 150
Now, let's calculate the numerical value of the total exposure by substituting the value of \(e^{-0.8}\) ≈ 0.449:
Exposure = -75 * 0.449 + 150
Exposure ≈ 112.18 ng/ml-hours
Therefore, the total exposure provided by the drug between t=0 and t=4 is approximately 112.18 ng/ml-hours.
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Factor the expression 4x^2 - 12x - 7
Answer:
(2x+1) (2x-7)
Step-by-step explanation:
Multiply the coefficient of the first term by the constant 4 • -7 = -28
Find two factors of -28 whose sum equals the coefficient of the middle term, which is -12
( -28 + 1 = -27
-14 + 2 = -12 )
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 2
4x2 - 14x + 2x - 7
Add up the first 2 terms, pulling out like factors :
2x • (2x-7)
Add up the last 2 terms, pulling out common factors :
1 • (2x-7)
Add up the four terms :
(2x+1) • (2x-7)
cookies are sold singly or in packages of 3 or 9 . with this packaging, how many ways can you buy 18 cookies?
Answer:
3 not including the singles or 10 including the singles
Step-by-step explanation:
9 + 9
3 + 3 + 3 + 3 + 3 + 3
3 + 3 + 3 + 9
18 singles
3 singles + 5 packs of 3
6 singles + 4 packs of 3
9 singles + 1 pack of 9
9 singles + 3 packs of 3
3 singles + 2 packs of 3 + 1 pack of 9
6 singles + 1 pack of 3 + 1 pack of 9
The number of ways that you can buy 18 cookies will be 12.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Cookies are sold singly or in packages of 3 or 9.
The number of ways that you can buy 18 cookies will be given as,
⇒ 1 x 18
⇒ 1 x 15 + 3 x 1
⇒ 1 x 12 + 3 x 2
⇒ 1 x 9 + 3 x 3
⇒ 1 x 6 + 3 x 4
⇒ 1 x 3 + 3 x 5
⇒ 3 x 6
⇒ 1 x 9 + 9 x 1
⇒ 9 x 2
⇒ 3 x 3 + 9 x 1
⇒ 1 x 3 + 3 x 2 + 9 x 1
⇒ 1 x 6 + 3 x 1 + 9 x 1
The number of ways that you can buy 18 cookies will be 12.
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In a Chi-Square test, which of the following is NOT true? If the chi squared test statistic is large, the P-value will be small. Samples are drawn from different populations and we wish to determine whether these populations have the same proportions of the characteristics being considered. Small values of the chi squared test statistic would lead to a decision to reject the null hypothesis. The null hypothesis is that the different populations have the same proportions of specified characteristics.
The statement that is NOT true in a Chi-Square test is "Small values of the chi squared test statistic would lead to a decision to reject the null hypothesis."
This is because if the test statistic is small, it means that the observed values are close to the expected values, and there is no significant difference between the populations. Therefore, a small test statistic would lead to a failure to reject the null hypothesis. In a Chi-Square test, we compare the proportions of specified characteristics in different populations, and we wish to determine whether they are the same or not. If the test statistic is large, it means that the observed values are significantly different from the expected values, and we have evidence to reject the null hypothesis. Finally, the P-value will be small if the test statistic is large, indicating strong evidence against the null hypothesis.
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How do you find the horizontal and vertical asymptote of a curve?
Answer: search it up
Step-by-step explanation: