Answer:
3rd
Step-by-step explanation:
Charles has four songs on a playlist. Each song is by a different artist. The artists are Cardi B, Post Malone, Taylor Swift, and BTS. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Cardi B and the second song is by Taylor Swift
The probability that the first song is by Cardi B and the second song is by Taylor Swift is 1/24.
To calculate the probability of the first song being by Cardi B and the second song being by Taylor Swift, we need to consider the total number of possible outcomes and the number of favorable outcomes.
There are four songs in total, and we want to determine the probability that the first song is by Cardi B and the second song is by Taylor Swift. Since the order matters (the first song and then the second song), we can use the concept of permutations.
The total number of possible outcomes is the number of ways to arrange four songs, which is 4!.
The number of favorable outcomes is the number of ways to arrange the songs such that the first song is by Cardi B and the second song is by Taylor Swift. Since each song can only be played once, there are 1 way to choose Cardi B as the first song and 1 way to choose Taylor Swift as the second song.
The probability can be calculated as:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 1 / 4!
Simplifying:
4! = 4 x 3 x 2 x 1 = 24
Probability = 1 / 24
The probability that the first song is by Cardi B and the second song is by Taylor Swift is 1/24.
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Please help! The graph shows the distance from its starting point
Answer:
It represents that after 8 hours the car is back to the starting position.
Step-by-step explanation:
The x-intercept is the value of x when y is 0.
According to the question, it is asking for the second x-intercept. The graph shows that the first x-intercept is 0 and the second x-intercept is 8.
In the graph, it shows that after 8 hours the car is back at the starting position.
which number will make the two fractions equivalent 42/50 84/?
Answer:
Step-by-step explanation:
84 is twice 42
Multiply the numerator and the denominator of 42/50 by 2:
42/50 = (42×2)/(50×2) = 84/100
Answer:
84/100
Step-by-step explanation:
84 is twice 42 Multiply the numerator and the denominator of 42/50 by 2: 42/50 = (42×2)/(50×2) = 84/100
Please help me, I don't really understand this. It's due today, also please show your work. I'm giving 50 points for this problem.
Answer:
1) 20 % decrease
2)21% decrease
3)8% increase
4)39.9% increase
5)23 % increase
6) 43.3 decrease
Step-by-step explanation:
a 10 kg dog requires about 2 liters of dry dog food per week. if we assume that food intake is proportional to body surface area, how much should a 40 kg dog eat per week?
a. 5 liters
b. 6 liters
c. 7 liters
d. 8 liters
The food intake is proportional to body surface area. So, a 40 kg dog should eat 4.85 liters of dog food per week. Therefore, the correct answer is option a. 5 litres.
Since food intake is proportional to body surface area, we calculate the amount of food required for a 40 kg dog as:
(food for 10 kg dog) x (surface area of 40 kg dog) / (surface area of 10 kg dog)
To calculate the surface area, we can use the formula for the surface area of a sphere, which is 4πr^2, where r is the radius of the sphere. We can assume that the dogs are roughly spherical, so we can use their weight to estimate their radius using the formula:
radius = (weight / density)^(1/3)
where the density of a dog is approximately 1 g/cm^3.
For the 10 kg dog:
radius = (10,000 g / 1 g/cm^3)^(1/3) = 21.54 cm
surface area = 4π(21.54 cm)^2 = 5823.47 cm^2
For the 40 kg dog:
radius = (40,000 g / 1 g/cm^3)^(1/3) = 33.60 cm
surface area = 4π(33.60 cm)^2 = 14122.57 cm^2
Now we can plug in the values and solve for the amount of food required for the 40 kg dog:
(food for 10 kg dog) x (surface area of 40 kg dog) / (surface area of 10 kg dog) = (2 liters) x (14122.57 cm^2) / (5823.47 cm^2)
= 4.85 liters
Therefore, a 40 kg dog should eat about 4.85 liters of dry dog food per week, which is closest to 5 liters.
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PLEASE FAST, IF YOU AWNSER FIRST YOU WILL GET THAT CROEN THING
Answer:
\(a \times b \\ (4y + 12)6x \\ 24xy + 72x \\ = 24x(y + 3)\)
Which expression is equivalent to -3[4*-0.50]?
–12x – 1.50
–12x + 1.50
–12x – 2.50
–12x – 3.50
In given expressions no one is equivalent to the expression -3 [4 × -0.50]
Given,
The expression : -3 [4 × -0.50]
We have to find the expression equivalent to the above expression from the given options.
Solve the expression:
-3 [4 × -0.50] = -3 × -2 = 6
Now we can solve the expressions given in the options:
1) -12 × -1.50 = 18
Not equal to the given expression
2) -12 × 1.50 = -18
Not equal to the given expression
3) -12 × -2.50 = 30
Not equal to the given expression
4) -12 × -3.50 = 42
Not equal to the given expression
So, we can conclude that, there is no equivalent expression in the options for the expression -3 [4 × -0.50]
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4 1/3b + 2 3/4b + 1
remeber to simplify the mixed number
Answer: 7 1/12b+1
Step-by-step explanation:I combine like terms
What is the volume of a cylinder, in cubic centimeters, with a height of 18 centimeters and a base diameter of 8 centimeters? Round to the nearest tenths place
Please helpppp lol
Answer:
904.8 centimeters
Step-by-step explanation:
1)identify variables
h = 18 d = 8
2)radius is half of the diameter
r = 4
3)use volume of a cylinder formula
V= PIEr^2h
4)substitute variables into formula
V=PIE(4)^2(18)
5)multiply
V= 904.778684234
6)round to the nearest tenths place
V= 904.8 centimeters
yw:))
(The 'PIE' is supposed to represent the pie symbol but I don't have it on my computer.)
ok, back to our fast food example. we had 16 subjects who identified their favorite fast food restaurant as being one out of four options. how many degrees of freedom should we use when looking up the critical chi square value?
We would use 3 degrees of freedom when looking up the critical chi-square value.
When conducting a chi-square test with four categories and 16 subjects, we would use 3 degrees of freedom. This is because the degrees of freedom for a chi-square test with k categories and n subjects is calculated as (k-1)(n-1). In this case, (4-1)(16-1) = 3(15) = 45.
To calculate the degrees of freedom for a chi-square test in this scenario, you can use the formula:
Degrees of Freedom = (number of rows - 1) * (number of columns - 1)
In this case, we have 1 row for the subjects and 4 columns for the fast-food restaurant options. Plugging in the values, we get:
Degrees of Freedom = (1 - 1) * (4 - 1) = 0 * 3 = 0
Since there is only one row, the degree of freedom is 0. However, it's important to note that a chi-square test may not be appropriate for this situation, as it requires at least two rows to compare the observed frequencies to the expected frequencies.
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At a football game, there are two fans for the visiting team for every nine fans for the home team. What is the ratio of fans for the visiting team to the total fans at the game?
Answer:
2:11
Step-by-step explanation:
The visiting team has 2 fans and the home team has 9 fans.
The question asks 'What is the ratio of fans for the visiting team to the total fans at the game?'
The visiting team has 2 fans, and the total amount of fans is 11, because we added 9 and 2 to make 11.
The answer is 2:11
Please HELP!! GEOMETRY 20 points!!
A triangle has sides of lengths a=38,
b=58, c=73 km.
Find the measures of the 3 angles.
Enter your answer as a number;
answer should be accurate to 2
decimal places.
Angle A = ?
Angle B = ?
Angle C= ?
a = 38
b = 58
c = 73
[use the Law of Cosines]
cos(A) = b² + c² - a² / 2bc
cos(B) = c² + a² - b ² / 2ca
cos(C) = a² + b² - c² / 2ab
[substitute the values]
∡A = 52.09
∡B = 31.12
∡C = 96.79
a basketball has a volume of 5600cm³. find its radius
Answer:
Step-by-step explanation:
Formulae for finding volume of a circle is v= 4/3× 22/7×r³
V is already given as. 5600cm³
Substituting into the formula, we have
5600cm³= 4/3×22/7×r³
5600cm³ ×3×7 =4 ×22×r³
117,600cm³=88r³
Making r³ subject of the formula, we have
r³= 117600/88
r³= 1336.36
r =³√1336.36
r=11 cm
What is the equation of a line with a y-intercept of −3 and a slope of 5?
A. y = -3x - 5
B. y = -3x + 5
C. y = 5x - 3
D y = 5x + 3
Answer:
The answer is C
Step-by-step explanation:
A circle has a radius of 2.2. What is its circumference?
Answer:
Step-by-step explanation:
\(C=2\pi r\)
\(=2\times \pi \times 2.2\)
\(=4.4\pi\)
\(=13.82\)
This beach ball has a surface area of 615.44 inches². What is its diameter? Use 3.14 for π.
Answer:
7
Step-by-step explanation:
Can someone please help me?
Which triangles are similar to △ABE?
Answer: Triangle ABE is similar to triangle ACD.
Step-by-step explanation:
1. Describe the basic characteristics of an independent
measures, or a between-subjects, research study.
The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant
Describing the basic characteristicsAn independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.
In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.
The main characteristics of an independent measures design are:
Participants are randomly assigned to one of the groups. Each group of participants is exposed to only one level of the independent variableData is collected from each group and compared to determine if there are any significant differences between the groups. The design requires a larger sample size compared to a within-subjects design because each participant can only be in one group.Read more about research study at
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The sugar sweet company is going to transfer its sugar to market. It will cost $4500 to rent trucks, and it will cost an additional $225 for each ton of sugar transported.
Let C Represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this equation to find a total cost to transport 14 tons of sugar.
Answer:
C=$7650
Step-by-step explanation:
Flat fee of 4500
S= 225x
x=14 tons of sugar
4500+225(14)=$7650 (C)
Equation:
C=4500+225(S)
Answer:
Total cost to transport 14 tons of sugar: $7650
Step-by-step explanation:
In the problem we are trying to find, C, the total cost to transport 14 tons of sugar.
$4500 to rent trucks
Additional $225 for each ton of sugar transported
C=4500+225(S)
We have our equation so now when begin to solve.
The problem gives us, S, the number of tons of sugar we are transporting, which is 14 tons.
So if it is an additional $225 for each ton of sugar then we would multiply 225 and 14. Which will look something like this:
C=4500+225(14)
Now we just simplify!
225(14)=3150
C=4500+3150
C=7650
Please help me with this
Answer:
1) 151.29 | 2) 413 km | 3) 75 cm
Step-by-step explanation:
1) 12.3 x 12.3 = 151.29 in
2) 17.5 x 23.6 = 413 km
3) 15 x 5 = 75 cm
assume the distribution of copper content (measured as a percent) in sintered brake pads follows an approximate normal distribution with a mean of 30.8 and a standard deviation of 2.45. a.) what values of copper content would bound the central 95% of all copper contents? b.) what is the approximate distribution of the sample mean copper content if we sample 16 pads? include the mean and standard error of this distribution. c.) if we were to randomly sample 16 brake pads from this distribution, what would the bounding values be for the central 95% of possible means be? solution
a) The central 95% of all copper contents would be bounded by the values of 26.02 and 35.58.
b) The distribution of the sample mean copper content follows an approximately normal distribution with a mean of 30.8 and a standard error of \($\frac{2.45}{\sqrt{16}}\) =0.6125.
c) If we were to randomly sample 16 brake pads from this distribution, the bounding values for the central 95% of possible means would be (29.6, 32)
a) Since the copper content in sintered brake pads follows an approximately normal distribution with a mean of 30.8 and a standard deviation of 2.45, we can use the standard normal distribution to find the values that bound the central 95% of all copper contents. The 95% confidence interval corresponds to z=1.96 in the standard normal distribution. Thus, the values that bound the central 95% of all copper contents are given by:
30.8−1.96×2.45=26.02,30.8+1.96×2.45=35.58
b) The sample mean of copper content for a sample of 16 pads is also normally distributed with a mean of 30.8 and a standard deviation of \($\frac{2.45}{\sqrt{16}}=0.6125$\), which is called the standard error. The distribution of the sample mean is given by:
x ˉ ∼ N(30.8, (2.451/√16)c) The bounding values for the central 95% of possible means can be found by using the formula:
xˉ ±z ∗ n (σ/√n)
where \($\sigma$\) is the population standard deviation, n is the sample size and \($z^*$\)is the critical value of the standard normal distribution that corresponds to a 95% confidence interval. Substituting the values, we get:
xˉ ±1.96× 2.45/√16 = xˉ ±0.6125Therefore, the bounding values for the central 95% of possible means are given by:
30.8−1.96×2.45/√16 = 29.6,30.8 + 1.96×2.45/√16 =32Learn more about Normal Distribution:
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if the alpha level is changed from 0.05 to 0.01, what effect does this have on beta?
Answer:
beta increases
Step-by-step explanation:
Circle C is shown. Radius A has a length of r. In circle C, r = 32 units. What is the area of circle C? 32Pi units squared 64Pi units squared 256Pi units squared 1024Pi units squared
Answer:
A = 1024 pi units^2
Step-by-step explanation:
If r = 32 units, we can find the area
A = pi r^2
A = pi ( 32) ^2
A = 1024 pi units^2
The area of the circle C is 1024π square units.
What is area?Area is the amount of space occupied by a two-dimensional figure.
What is the formula for the area of circle?The formula for the area of circle is given by
\(Area = \pi r^{2}\)
Where,
r is the radius of the circle
According to the question.
We have the radius of circle, r = 32 units
Therefore,
The area of the circle C is given by
\(Area = \pi (32)^{2}\)
⇒ \(Area = 1024\pi\) square units
Hence, the area of the circle C is 1024π square units.
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The following system of linear equations is shown in the graph.
y=1/4x+5
x-4y=4
How many solutions does the system of linear equations have?
A. No solution
B. Infinitely many solutions
C. One solution at (4,0)
D. One solution at (0,-1)
Answer:
Step-by-step explanation:
The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.
A. No solution
y = 1/4x+5
x - 4y = 4
You can simplify the second equation into y = 1/4x - 1
Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.
determine whether each table represents a linear or non-linear function explain
Each of the tables is classified as linear or non-linear on the image presented at the end of the answer.
How to classify the functions as linear or non-linear?A function is classified as linear or non-linear depending on the rate of change of the function.
If the rate of change of the function is constant, that is, when x changes by one amount, y always changes by the same amount, then the function is classified as linear.
Conversely, if the rate of change of the function is different for different intervals, then the function is classified as non-linear.
For example, the top-left function is non linear, as when x changes by one from x = 1 to x = 2, y changes by 3, from y = 1 to y = 4, while when x changes by one from x = 2 to x = 3, y changes by 5.
The bottom-right function is linear, as for each increase of x by 5, the value of y decays by 4.
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Daily Temperatures in New York: These are the daily temperatures in New York from Monday to Thursday: Monday: 1 degree Celsius; Tuesday: 2 degrees Celsius; Wednesday: 5 degrees Celsius; Thursday: -1 degrees Celsius. On which day was the temperature the WARMEST?
Answer:
Wednesday
Step-by-step explanation:
The given daily temperature in New York from Monday to Thursday:
Monday: \(1^{\circ}C\)
Tuesday: \(2^{\circ}C\)
Wednesday: \(5^{\circ}C\)
Thursday: \(-1^{\circ}C\)
Now, among the given temperatures,\(1^{\circ}C, 2^{\circ}C, 5^{\circ}C,\) and \(-1^{\circ}C,\) the highest temperature is \(5^{\circ}C\).
As the day having the highest temperature is the warmest day which is Wednesday.
So, on Wednesday the temperature was warmest.
Solve using the quadratic formula. Approximate answers to the nearest tenth.
Answer:
\(\displaystyle x = 2, \ 3\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: \(\displaystyle x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}\)Step-by-step explanation:
Step 1: Define
Identify variables
x² - 5x + 6
↓
a = 1, b = -5, c = 6
Step 2: Solve for x
Substitute in variables [Quadratic Formula]: \(\displaystyle x = \frac{5 \pm \sqrt{(-5)^2-4(1)(6)}}{2(1)}\)[√Radical] Evaluate exponents: \(\displaystyle x = \frac{5 \pm \sqrt{25-4(1)(6)}}{2(1)}\)[√Radical] Multiply: \(\displaystyle x = \frac{5 \pm \sqrt{25-24}}{2(1)}\)[√Radical] Subtract: \(\displaystyle x = \frac{5 \pm \sqrt{1}}{2(1)}\)[√Radical] Evaluate: \(\displaystyle x = \frac{5 \pm 1}{2(1)}\)Multiply: \(\displaystyle x = \frac{5 \pm 1}{2}\)Add/Subtract: \(\displaystyle x = \frac{4}{2}, \ \frac{6}{2}\)Divide: \(\displaystyle x = 2, \ 3\)Determine if 0.34375 is rational or irrational and give a reason for your answer.
Answer:
Rational
Step-by-step explanation:
The key detail in this problem is that the decimal is terminating so it's not infinitely continuous. A irrational number is a value that when in decimal form, it is infinitely continuous and never ends. Since the decimal we are working with terminates, it is rational.
Best of Luck!
y=x+5
x-5y=-9
Can someone please help ASAP
Simplify (b^4)^5.
О A. B^54
О B. b^4
О С. B^9
о D. B^20
Answer:
b^20
Step-by-step explanation:
(b^4)^5 = b^4*5
\(\huge\text{Hey there!}\)
\(\mathtt{(b^4)^5}\\\mathtt{\rightarrow b^{4\times5}}\\\mathtt{\rightarrow b^{4 + 4 + 4 + 4 + 4}}\\\mathtt{\rightarrow b^{8 + 8 + 4}}\\\mathtt{\rightarrow b^{16 + 4}}\\\mathtt{\rightarrow b^{20}}\\\\\\\\\huge\text{Therefore your answer should be:}\\\huge\boxed{\mathtt{Option\ D. b^{20}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)