The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
Calculating areaFrom the question, we are to determine the area of the shaded region
The area of the shaded region = Area of the semicircle - Area of the triangle
First, we will determine the diameter, d, of the semicircle
d² = 3² + 4² (Pythagorean theorem)
d² = 9 + 16
d² = 25
d = √25
d = 5
∴ Diameter of the semicircle is 5
Thus,
Radius, r = 5/2 = 2.5
Now,
Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)
Area of the shaded region = 1/2(π×6.25) - 1/2(12)
Area of the shaded region = 3.125π - 6
Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
Learn more on Calculating area here: https://brainly.com/question/14989383
#SPJ1
i need to make a stem and leaf plot for the numbers given below on number 6
Answer:
See the plot below
=========================
Given data420, 369, 375, 382, 410, 376, 397, 411, 356, 387, 355, 373We need to make a stem and leaf plot
Step 1Rearrange the data in the ascending order:
355, 356, 369, 373, 375, 376, 382, 387, 397, 410, 411, 420Step 2Group the data as follows:
355, 356369373, 375, 376382, 387397410, 411420Step 3The first two digits form a stem and the last digits form a leaf.
Make a plot:
Stem | Leaf
35 | 5 636 | 937 | 3 5 638 | 2 739 | 741 | 0 142 | 0If two fair dice are rolled, what is the probability that the total showing is either even or less than five?
The Probability that the total showing is either even or less than five = 5/6
What is Probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.
According to the given data:The example space for rolling two dice is:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
36 events total.
Events that have a sum that is even or less than Five .
Total instances when the aggregate is even or less than Five equals 30.
P(sum is even or less than 5)
= (Total no of favorable event)/(Total no of event)
= 30/36
=5/6
probability that the total showing is either even or less than five = 5/6
To know more about probability visit :
https://brainly.com/question/13066369
#SPJ4
The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table. The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity. Based on the scatterplot, which equation BEST represents the relationship between velocity and time?
The equation of the line of best fit, using the least square method is v = 2.19t + 6.7, making the 2nd option as the right choice.
In the question, we are asked to find the equation of the line of BEST FIT for the given scatter plot.
We let the time be the independent variable x, and velocity is the dependent variable y.
We find the line of best fit using the least square method.
First, we calculate the mean:
of time (x), μ(x) = (0 + 2.1 + 5.3 + 8.2 + 10.0 + 12.1)/6 = 6.283333,of velocity (y), μ(y) = (6.1 + 12.2 + 17.4 + 26.4 + 28.1 + 32.8)/6 = 20.5.Now, we find the slope of the line of best fit, using the formula:
m = {∑(x - μ(x))(y - μ(y))}/{∑(x - μ(x))²}.
Taking value from the tables, which is attached, we get:
m = 239.35/109.2683333 = 2.190479096.
Now, we calculate the y-intercept of the line of best fit, using the formula:
b = μ(y) - m.μ(x),
or, b = 20.5 - 2.190479096*6.283333 = 6.736489681.
Now, the equation of the line of best fit, in the form of y = mx + b, can be written as, y = 2.190479096x + 6.736489681, which on approximation, and making y as v, the velocity, and x as t, the time, we get: v = 2.19t + 6.7.
Thus, the equation of the line of best fit, using the least square method is v = 2.19t + 6.7, making the 2nd option as the right choice.
Learn more about the least square method at
https://brainly.com/question/15088393
#SPJ1
Suppose that two fair dice are rolled. find the probability that the number on the first die is a 1 or the number on the second die is a 4
Answer:
1/36
Step-by-step explanation:
Assuming the dice has 6 sides in total, we can set up a probability for each scenario.
The chances of the dice landing on 1 will be 1/6, since there are 6 total faces. Same goes for the second die and landing on 4.
Now that we have our 2 probabilities, we multiply them to get the final probability. 1/6 x 1/6 = 1/36.
How do you solve this?
Step-by-step explanation:
g(x) is also called y. the functional result value for an input value x is shown in the y direction above or below that x value on the x axis.
so, when it says g(x) = c, the solution is to find the values of x for which b the function g delivers c as result.
now, we look at the graphic.
for example, g(x) = 0 (c = 0) has actually 3 solutions, as the function crosses the x-axis (and that means y or g(x) = 0) 3 times. so, there are 3 different values of x that create g(x) = 0.
but we are looking for a c that has only one solution (one value of x to create that result).
c = 1 ?
let's imagine a horizontal line through y = 1.
we see, it cuts the function also 3 times. 3 solutions.
c = -1 ?
a similar horizontal line through y = -1 cuts the function also 3 times. 3 solutions
but c = 3 !
a horizontal line through y = 3 stays above all the waves of the function and then cuts the function only one time at the very right. 1 solution !
and that is therefore our answer.
find the solution of the given simultaneous equations
y = 2x - 3
3x - 2y = 4
Answer:
Step-by-step explanation:
x+3y=1
Find the product or type impossible[5 -2 4] [2 7 -3]
Answer:
Step-by-step explanation:
You can only multiply matrices if the number of columns in the matrix on the left is the same exact number as the number of rows in the matrix to the right of that other matrix.
The matrix on the left, |5 -2 4| has the dimensions
1 x 3 (1 row, 3 columns)
The matrix to its right, |2 7 -3| has the dimensions
1 x 3 (1 row, 3 columns).
Putting those dimensions next to each other in that order:
1 x 3 1 x 3
The bold print 3 and 1 have to be the same number (both 3's or both 1's) in order for the multiplication to work. This doesn't work; it's impossible.
Answer: -16
Step-by-step explanation:
i was on a unit exam typing in random numbers since i didn't know it and -16 is the right answer.
Which type of sediment deposit has an average rate of deposition (per 1000 years) of 1 centimeter (0.4 inch)?
The sediment deposit that has an average rate of deposition
(per 1000 years) of 1 centimeter is bigenous ooze,pelagic deposit.
Given that average rate of deposition is per 1000 years of 1 centimeter.
We are required to find the type of sediment deposit that has an average rate of deposition (per 1000 years) of 1 centimeter.
Biogenic ooze, which is also called biogenic sediment, is any pelagic segment that contains more than 30 percent skeletal material. These sediments can be made up of either carbonate ooze or siliceous ooze.
In plagic sediments feldspar is obtained from local volcanic sources, whereas quartz may be introduced from the continents by wind,upsetting simple patterns.A large number of accessory minerals occur in shales.
Hence if the sediment deposit that has an average rate of deposition
(per 1000 years) of 1 centimeter is bigenous ooze,pelagic deposit.
Learn more about sediment at https://brainly.com/question/6110024
#SPJ4
In c = 2a 3b, the entry represented by c24 is . in d = 3a − 2b, the entry represented by d13 is .
The element value c₂₄ = -12 and d₁₃ = 14 if C = 2A + 3B and A and B are the matrix.
What is a matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics. For instance, consider a matrix with two rows and three columns.To find the element:
As we have given two matrices A and B:
C = 2A + 3Bc₂₄ = 2(3) + 3(-6)c₂₄ = -12d₁₃ = 3(0) - 2(-7)d₁₃ = 14Therefore, the element value c₂₄ = -12 and d₁₃ = 14 if C = 2A + 3B and A and B are the matrix.
Know more about matrix here:
https://brainly.com/question/24079385
#SPJ4
Express your answer in scientific notation. 0.00045-2.5x10^-5
Answer:
4.25 × 10^-4
Step-by-step explanation:
0.00045-2.5x10^-5
= (4.5 × 10^-4) - (0.25 × 10¹ × 10^-5)
= (4.5 × 10^-4) - (0.25 × 10^{1-5} )
= (4.5 × 10^-4) - (0.25 × 10^-4)
= (4.5 - 0.25) × 10^-4
= 4.25 × 10^-4
Find the absolute maximum and minimum values of f on the set d. f(x, y) = xy2 7, d = {(x, y) | x ≥ 0, y ≥ 0, x2 y2 ≤ 3}
Assuming you mean [tex]f(x,y) = xy^2[/tex] over the domain
[tex]D = \left\{(x,y) ~:~ x\ge0 \text{ and } y\ge0 \text{ and } x^2 + y^2 \le 3\right\}[/tex]
we first observe that [tex]f(x,y) = 0[/tex] for all [tex](x,y)[/tex] on the coordinate axes.
There are no critical points elsewhere in the interior of [tex]D[/tex], since
[tex]\dfrac{\partial f}{\partial x} = y^2 = 0 \implies y=0[/tex]
[tex]\dfrac{\partial f}{\partial y} = 2xy = 0 \implies x = 0 \text{ or } y = 0[/tex]
Parameterize the circular arc boundary by [tex]x=\sqrt3\cos(t)[/tex] and [tex]y=\sqrt3\sin(t)[/tex], where [tex]0\le t\le\frac\pi2[/tex]. Then
[tex]f(x(t), y(t)) = g(t) = 3\sqrt3 \cos(t) \sin^2(t) = 3\sqrt 3 (\cos(t) - \cos^3(t))[/tex]
Find the critical points of [tex]g[/tex].
[tex]g'(t) = -3\sqrt3 \sin(t) + 9\sqrt3 \cos^2(t) \sin(t) = 0[/tex]
[tex]-3 \sin(t) (1 - 3 \cos^2(t)) = 0[/tex]
[tex]\sin(t) = 0 \text{ or } 1 - 3 \cos^2(t) = 0[/tex]
[tex]\sin(t) = 0 \text{ or } \cos^2(t) = \dfrac13[/tex]
[tex]\sin(t) = 0 \text{ or } \cos(t) = \pm\dfrac1{\sqrt3}[/tex]
In the first case, we get
[tex]t = \sin^{-1}(0) + 2n\pi \text{ or } t = \pi - \sin^{-1}(0) + 2n\pi[/tex]
where [tex]n[/tex] is an integer; the only solution on the boundary of [tex]D[/tex] is [tex]t=0[/tex] corresponding to the point [tex](\sqrt3,0)[/tex].
In the second case, we get
[tex]t = \cos^{-1}\left(\dfrac1{\sqrt3}\right) + 2n\pi \text{ or } t = -\cos^{-1}\left(\dfrac1{\sqrt3}\right) + 2n\pi[/tex]
with only one relevant solution at [tex]t=\cos^{-1}\left(\frac1{\sqrt3}\right)[/tex] corresponding to [tex](1,\sqrt2)[/tex].
In the third case, we get
[tex]t = \cos^{-1}\left(-\dfrac1{\sqrt3}\right) + 2n\pi \text{ or } t = -\cos^{-1}\left(\dfrac1{\sqrt3}\right) + 2n\pi[/tex]
but there is no [tex]t[/tex] in this family of solutions such that [tex]0\le t\le\frac\pi2[/tex].
So, we find
[tex]\min\left\{xy^2 \mid (x,y) \in D\right\} = 0 \text{ at } (0,0)[/tex]
(but really any point on either axis works)
[tex]\max \left\{xy^2 \mid (x,y) \in D\right\} = 2 \text{ at } (1,\sqrt2)[/tex]
If amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? explain your answer.
C) Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.
What is linear regression?
Linear regression analysis is used to predict the value of a variable based on the value of another variable.
The variable you want to predict is called the dependent variable.
The variable you are using to predict the other variable's value is called the independent variable.
Learn more about linear regression here: https://brainly.in/question/14924595
Amelia should work for (C) company B: using linear regression models from both data sets, she determines that it pays about $10 more.
What is a linear model?The word linear model is used differently in statistics depending on the context. The most common usage is in relation to regression models, and the phrase is frequently used interchangeably with linear regression models. However, the phrase is also used with a different connotation in time series analysis.Linear regression analysis predicts the value of one variable depending on the value of another.The variable you wish to forecast is referred to as the dependent variable.The variable you are using to forecast the value of the other variable is known as the independent variable.Therefore, Amelia should work for (C) company B: using linear regression models from both data sets, she determines that it pays about $10 more.
Know more about linear regression models here:
https://brainly.com/question/25987747
#SPJ4
The complete question is given below:
If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? explain your answer.
A) Company A: Using linear regression models from both data sets, she determines that it pays about $14 more.
B) Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more.
C) Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.
D) Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.
Algebra 2 how do you find the frequency?
The frequency of the periodic function is given by: 0.0796.
What are the period and the frequency of a function?The period of a function is given by the distance between it's repetitions.The frequency of a function is found dividing one by the period.From the graph, we have that the period is of 4pi hours, hence the frequency is:
f = 1/4pi = 0.0796.
More can be learned about periodic functions at https://brainly.com/question/27894133
#SPJ1
Question 5(Multiple Choice Worth 2 points)
(07.01 MC)
What is the range of the function f(x) = x - 3?
Answer:
(-∞, ∞)
Step-by-step explanation:
Unless there are restrictions on the domain, the range of any odd-degree polynomial function is "all real numbers."
Linear functionThe given function is a linear function, degree 1. This is an odd degree, so the range of the function is "all real numbers."
-∞ < f(x) < ∞
(-∞, ∞) . . . . . in interval notation
A laundry detergent company wants to determine if a new formula of detergent, a, cleans better than the original formula, b. researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. after washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. the researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. for detergent a, 228 pieces of clothing received a 7 or higher. for detergent b, 210 pieces of clothing received a rating of 7 or higher. based on the 90% confidence interval, (0.02, 0.12), is there convincing evidence that the new formula of laundry detergent is better? there is convincing evidence because the interval is entirely above 0. there is not convincing evidence because the sample sizes are too small. there is convincing evidence because the number of clothing items receiving a higher rating is greater for the new formula than for the original formula. there is convincing evidence because the sample proportion of clothes receiving a higher rating is greater for the new formula than the original formula.
In the hypothesis, based on the 90% confidence interval, (0.02, 0.12), there is convincing evidence that the new formula of laundry detergent is better because the interval is entirely above 0
How to illustrate the information?Let's define the null hypothesis and alternative hypothesis first.
H0:p1-p2=0
Ha:p1-p2>0
Also, 90% CI is (0.02,0.12), we know that if the 0 of the null hypothesis is not in the confidence interval then we reject the null hypothesis.
In the given scenario 0 is not within the given interval, hence we reject the null hypothesis and accept the claim that new detergent A cleans better.
Learn more about hypothesis on:
https://brainly.com/question/11555274
#SPJ1
The diagram shows a cuboid. 4 cm 12 cm x cm the volume of the cube is 120cm² calculate the value of x
Answer:
The value of x will be 2.5cm.
Step-by-step explanation:
Greetings !Volume = Length*Width*Height
where,
Volume=120cm³Length=12cmWidth=xHeight=4cm[tex]v = l \times w \times h \: ...substitute \: values \\ 120cm {}^{3} = 12cm \times w \times 4cm \\ 120cm {}^{3} = 48cm {}^{2} \times w \: ...divide \: both \: \\ sides \:by \: 48cm {}^{2} \\ \frac{120cm {}^{3} }{48cm {}^{2} } = w \\ w = 2.5cm[/tex]
Which graph represents the polynomial function?
f(x)=−x3+x2+9x−9
The curve pass through the y-axis at the coordinate point (0, 10) showing that the y-intercept of the function is (0, 10)
Graph of a polynomialThe graph of a polynomial function is a smooth continuous curve. The point where the curve intersects the x-axis is the zero of the polynomial.
A polynomial is also known to have a degree of 3 and above. Hence the given polynomial has a leading degree of 3 and expressed as:
f(x)=−x^3+x^2+9x−9
The graph of the function is as plotted below. From the function, you can see that the curve pass through the y-axis at the coordinate point (0, 10) showing that the y-intercept of the function is (0, 10)
Learn more on polynomial graph here: https://brainly.com/question/10918240
#SPJ1
Mr. Salazar assigns the same number of homework questions each school day. The ratio table below shows the total number of homework questions assigned after a certain number of school days.
Homework
Number of days
Total number of questions
4
20
8
40
11
55
16
?
After 16 days, how many total homework questions have been assigned?
After 16 days, the total homework questions that have been assigned would be 80 questions.
How many homework questions would be assigned after 16 days?
Ratio expresses the equivalent relationship between two numbers. It shows the frequency of the number of times that one value is contained within other value(s).
A ratio table can be described as table that shows equivalent values between two numbers.
The first step is to determine the ratio between the number of days and the total number of questions.
Ratio = money saved / money earned
8/10 = total number of questions / number of days
55 / 11 = 5
Now, multiply the ratio gotten in the previous step by the number of days
Total number of homework questions = number of x ratio
5 x 16 = 80 questions
To learn more about ratios, please check: https://brainly.com/question/25927869
#SPJ1
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What is the distance between points F and G?
A number line ranges from minus 5 to 5 with increment of 1 unit. Left, Point F is plotted on the number line at minus 3. Right, point G is plotted on the number line at 1.50.
The distance between F and G is
.
A number line ranges from minus 5 to 5 with increment of 1 unit. Left, Point F is plotted on the number line at minus 3. Right, point G is plotted on the number line at 1.50, then the distance between F and G is 4.50.
Calculating the Distance between F and G:
It is given that, on a number line,
Point F is located at -3
Point G is at 1.50
Since, 1.5 > (-3) and each number is at a 1 unit difference form the adjacent number on the number line,
The difference between F and G = 1.50 - ( -3 )
This implies that the distance between F and G = 1.50 + 3
= 4.50 units
The numbers lying between the points F and G on the number line are: -2, -1, 0, and 1
Learn more about a number line here:
https://brainly.com/question/13189025
#SPJ1
Answer: 4 1/2
Step-by-step explanation:
Got it right
Find the expression for f(x) that makes the following equation true for all values of x
9x*3^x+2=3f(x)
PLEASE HELP ME! THE QUESTION IS DOWN BELOW PLEASE PLEASE HELP ME
The given expression (8h + 2w - 5h + 3w) can fully be simplified as 3h + 5w.
What is an expression?An expression can be defined as a type of mathematical equation which is used to show the relationship that is existing between two or more variables and numerical quantities (integers).
In this exercise, you're required to fully simplify the given expression in the lowest terms. Thus, we would simplify the given expression completely by collecting like terms and performing the necessary arithmetic operations (addition and subtraction) as follows:
Collecting like terms, we have:
8h - 5h + 3w + 2w
Subtracting and adding the like terms respectively, we have:
3h + 5w.
In conclusion, we can logically deduce that the given expression (8h + 2w - 5h + 3w) can fully be simplified as 3h + 5w.
Read more on expressions here: brainly.com/question/12189823
#SPJ1
Complete Question:
Fully simplify 8h + 2w - 5h + 3w.
Mary's tube of red paint is five sevenths full and her blue paint is four sevenths full. How much red and blue paint does Mary have in total? Use the benchmark fraction one half, 1, and 0 to help you estimate each answer before you solve.
one seventh tube
seven ninths tube
one and two sevenths tubes
one and one seventh tubes PLEASE HELP! (Ill give brainnliest!!)
By adding fractions, we conclude that the correct option is the third one:
"one and two sevenths tubes"
How much red and blue paint does Mary have in total?We know that:
She has 5/7 of the red paint tube.She has 4/7 of the blue paint tube.The total amount of paint will be given by the direct addition of these two fractions, notice that the denominator is the same in both cases, so we can just add the numerators.
5/7 + 4/7 = (5 + 4)/7 = 9/7
We can rewrite this as:
9/7 = 7/7 + 2/7 = 1 + 2/7
Thus, the correct option is the third one
"one and two sevenths tubes"
If you want to learn more about fractions:
https://brainly.com/question/11562149
#SPJ1
how do i graph a rational function in the form t=d/s? as an example i have to graph t=616.5km/40km/h, t=616.5km/25km/h, and t=616.5km/60km/h. any help would be greatly appreciated, i'll rank you brainliest if you help me
By finding some points on the curve and then connecting them.
How to graph the rational function?
Here we have the rational function:
t = d/s
Where t represents time, d distance, and s speed.
We assume that d is a fixed value, then our variables are time and speed.
On the examples, you can see that the value of d is:
d = 616.5km, then we just need to graph the equation:
t = (616.5km)/s
To do so, you can evaluate the function in different values of s, like the points the problem asks to graph, and then connect all these points with a curve.
Doing that, you should get a graph like the one below:
If you want to learn more about rational functions:
https://brainly.com/question/1851758
#SPJ1
Explanation to :an insurance agent is paid a salary of gh200 and a commission of 3% on all sales over gh2000 per month. if his total income in a particular month was gh530, what was the amount of his sales for that month
GH 13000 is the amount of his sales for that month.
how to find sales of the month?
total income = salary + commission
total income = GH530 (given)
salary = GH200 (given)
Commission is 3% on the sales above Gh2000 (given)
Let sales be x
total income = salary + commission
530 = 200+3%(x-2000)
530-200=0.03(x-2000)
330/.03=x-2000
11000=x-2000
x= 13000
total sales = GH13000
https://brainly.com/question/4470498
#SPJ2
Which graph represents (y-3)^2/25 + (x+1)^2/4 > 1 and y <= square root{x+5}+2
Answer:
B. the second graph.
Step-by-step explanation:
Literally the photo is on the question.
Second graph represents (y-3)²/25 + (x+1)²/4 > 1 and y <= square root{x+5}+2. Therefore, the correct option is option B.
What is graph?The study of graphs, that are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. In this sense, a network consists of vertices, also known as nodes or points, linked by edges, also known as links or lines.
Undirected graphs, in which edges connect two vertices symmetrically, are distinguished from directed graphs, in which edges connect two vertices asymmetrically. One of the main topics that are investigated in discrete mathematics is graphs. Second graph represents (y-3)²/25 + (x+1)²/4 > 1 and y <= square root{x+5}+2.
Therefore, the correct option is option B.
To know more about graph, here:
https://brainly.com/question/29129702
#SPJ2
The probability distribution histogram shows the age distribution of giraffes at a zoo.
What is P(4
Enter your answer, as a decimal, in the box.
The value of P(4<X≤12) is 0.45
How to determine the probability?The complete question is added as an attachment
To calculate P(4<X≤12), we use the following equation
P(4<X≤12) = P(4<X≤8) + P(8<X≤12)
From the histogram, we have:
P(4<X≤8) = 0.1
P(8<X≤12) = 0.35
So, we have:
P(4<X≤12) = 0.1 + 0.35
Evaluate
P(4<X≤12) = 0.45
Hence, the value of P(4<X≤12) is 0.45
Read more about probability at:
https://brainly.com/question/10444337
#SPJ1
In a quiz program, 2 questions on Science, 4 questions on History, and 4 questions on Math are printed separately on 10 cards and placed upside down. Maria is asked to select 2 cards at random. What is the probability of Maria selecting 2 questions on Science
The probability of Maria selecting 2 questions on Science is 1/ 5
How to determine the probabilityFrom the information given, we have that there are;
2 Science questions4 History questions4 Math questionsThe total questions = 2 + 4 + 4 = 10 questions
We have that Maria picks two questions at random
The probability of her selecting two questions on Science is given as
P(2 science) = number of Science questions/ total number of questions
P(2 science) = 2/ 10
P(2 science) = 1/ 5
The probability of picking two questions on Science is 1/5
Thus, the probability of Maria selecting 2 questions on Science is 1/ 5
Learn more about probability here:
https://brainly.com/question/24756209
#SPJ1
Answer:
1/45
Step-by-step explanation:
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
[tex]direct \: variation \: lines \: pass \: through \: the \: origin[/tex]
Last OptionWhat values of c and d make the equation true? rootindex 3 startroot 162 x superscript c baseline y superscript 5 baseline endroot = 3 x squared y (rootindex 3 startroot 6 y superscript d baseline endroot)
Values of c and d make the equation true are c=6, d=2
Equations
We must find the values of c and d that make the below equation be true[tex]\sqrt[3]{162x^{c}y^{5} } = 3x^{2} y^{3} \sqrt[3]{6y^{d} }[/tex]
cubing on both sides -[tex](\sqrt[3]{162x^{c}y^{5} })^{3} = (3x^{2} y^{3} \sqrt[3]{6y^{d} })^{3}[/tex]
The left side just simplifies the cubic root with the cube:[tex]{162x^{c}y^{5} } = (3x^{2} y^{3} \sqrt[3]{6y^{d} })^{3}[/tex]
On the right side, we'll simplify the cubic root where possible and power what's outside of the root:[tex]{162x^{c}y^{5} } = 27x^{6} y^{3} ({6y^{d})[/tex]
Simplifying[tex]{x^{c}y^{5} } = x^{6} y^{3} ({y^{d})[/tex]
[tex]{x^{c}y^{5} } = x^{6} y^{3+d}[/tex]
On equating,c = 6
d = 2
To learn more about equations from the given link
https://brainly.com/question/14751707
#SPJ4
ASAP NOW
below is the question
The mean of the data set A is 4.58 while the mean of data set B is 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The mean of a set of numbers is the average of that group of number. It is the ratio of the sum of the data to the total number of data.
Mean of data set A = [(3 * 1) + (4 * 3) + (5 * 2) + (6 * 2) + (7 * 3) + (8 * 1)] / (1 + 3 + 2 + 2 + 3 + 1) = 4.58
Mean of data set B = [(4 * 2) + (5 * 2) + (6 * 2)] / ( 2 + 2 + 2) = 5
The mean of the data set A is 4.58 while the mean of data set B is 5.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1