Prove the following trigonometric identities
Answer:
Greetings !
check the attachment above☝️ but i haven't done the second question wait a moment. thx
in order to solve the following system of equations by subtraction, which of the following could you do before subtracting the equations so that one variable will be eliminated when you subtract them?
4x-2y=7
3x-3y=15
The following system of equation can be solved by first substituting the dependent variable in the other equation . The solution yields x = -1.5 and y = 6.5 .
What is the solution of the given system of equation ?The two equations are given as -
4x-2y=7
3x-3y=15
First substituting the value of x from the first equation and then putting that value in the second equation for the following system of equation.
From first equation,
⇒ 4x = 7 + 2y
∴ x = (7 + 2y)/4
Putting this value of x in second equation,
⇒ 3*(7 + 2y)/4 - 3y = 15
⇒ 3*(7 + 2y) - 12y = 60
⇒ 21 + 6y - 12y = 60
⇒ -6y = 39
∴ y = -6.5
∴ x = (7 + 2y)/4 = -1.5
Thus x = -1.5 and y = -6.5
Therefore, the following system of equation can be solved by first substituting the dependent variable in the other equation . The solution yields x = -1.5 and y = 6.5 .
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8. A can do a piece of work in 16 days, B in 10 days. A and B work at it together for 6 days and then C finishes it in 3 days. In how many days could C have done it alone? (a) 120 days (c) 140 days (b) 130 days (d) 150 days
Answer: 120 days
Step-by-step explanation:
A can complete it in 16 days.
=100/16 =6.25%/day.
B has ten days to do it.
10% every day is equal to 100/10.
So they would each contribute 16.25 percent per day as a group.
then for six days,
16.25*6 =97.50percent
97.50% of the work has been finished, in other words.
The amount of work left is now 100-97.5 = 2.5.
C finishes up the remaining job in 3 days
3.5% in 3 days, to be exact.
Consequently, he will finish his entire project in 120 days.
[2.5 * 40 = 100 percent; 40 * 3 = 120 days]
For 8-10, Find the area of the polygon.
Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a)
Rolle's Theorem does not apply to the function because there are points on the interval (a,b) where f is not differentiable.
Given the function is [tex]f(x)=\sqrt{(2-x^{\frac{2}{3}})^{3}}[/tex] and the Rolle's Theorem does not apply to the function.
Rolle's theorem is used to determine if a function is continuous and also differentiable.
The condition for Rolle's theorem to be true as:
f(a)=f(b)f(x) must be continuous in [a,b].f(x) must be differentiable in (a,b).To apply the Rolle’s Theorem we need to have function that is differentiable on the given open interval.
If we look closely at the given function we can see that the first derivative of the given function is:
[tex]\begin{aligned}f(x)&=\sqrt{(2-x^{\frac{2}{3}})^3}\\ f(x)&=(2-x^{\frac{2}{3}})^{\frac{3}{2}}\\ f'(x)&=\frac{3}{2}(2-x^{\frac{2}{3}})^{\frac{1}{2}}\cdot \frac{2}{3}\cdot (-x)^{\frac{1}{3}}\\ f'(x)&=\frac{-\sqrt{2-x^{\frac{2}{3}}}}{\sqrt[3]{x}}\end[/tex]
From this point of view we can see that the given function is not defined for x=0.
Hence, all the assumptions are not satisfied we can reach a conclusion that we cannot apply the Rolle's Theorem.
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Simplify the expression. 3^–9 • 3^6 • 3^6
Answer:
27
Step-by-step explanation:
(3^−9)(3^6)(3^6)
=1/19683(3^6)(3^6)
=1/19683(3^6)(3^6)
=(1/19683(729))(3^6)
=1/27(3^6)
=1/27(729)
=27
Answer:
27^3
Step-by-step explanation:
Please helpppppppppppp
Answer:
7.7 km
Explanation:
Use cosine rule as here given two sides and one angle.
Cosine rule states:
a² = b² + c² - 2bc cos(A)
While solving, treat a = 7.5 km as to that opposite angle is given of 68°
then b = missing side, c = 5.2 km, A = 68°
Applying rule:
7.5² = b² + 5.2² - 2(b)(5.2) cos(68)
56.25 = b² + 27.04 - 3.8959b
56.25 - 27.04 = b² - 3.8959b
b² - 3.8959b = 29.21
b² - 3.8959b - 29.21 = 0
apply quadratic equation, Here [a = 1, b = - 3.8959, c = -29.21]
[tex]\sf b = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad\:when \:\ ax^2 + bx + c = 0[/tex]
[tex]\sf b = \dfrac{ -(-3.8959) \pm \sqrt{(-3.8959)^2 - 4(1)(-29.21)}}{2(1)}[/tex]
[tex]\sf b = 7.69 291 \quad or \quad b = -3.797[/tex]
[tex]\sf b = 7.7 \quad (rounded \ to \ nearest \ tenth)[/tex]
As length cannot be negative. Hence the value of b is only 7.7 km
The answer is 7.7 km.
Let's apply the Cosine Law in this situation.
a² = b² + c² - 2bc cos(A)
Now, substitute the values based on the given diagram.
(7.5)² = b² + (5.2)² - 2(b)(5.2)(cos 68°)56.25 = b² + 27.04 - 3.896bb² - 3.896b - 29.21 = 0Here, using the Quadratic Equation, we can solve :
b = 3.896 ± √(3.896)² - 4(1)(-29.21) / 2b = 3.896 ± √15.178816 + 116.84 / 2b = 3.896 ± √132.018816 / 2b = 3.896 + 11.49 / 2b = 7.7 kmThe volume of a cone is 37x³ cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
O 3x
0 6x
о 3лх2
0 90х2
Answer: 6x
Step-by-step explanation:
The expression represents the radius of the cone's base is √111/π x = r
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The formula for the volume of a cone is V = (1/3)πr²h, where V is the volume,
r is the radius of the base,
h is the height, and π is a constant approximately equal to 3.14.
We are given that the volume of the cone is 37x³ cubic units and the height is x units.
Using the formula for the volume of a cone, we can write:
37x³ = (1/3)πr²x
37x² = πr²/3
37×3 x²/π = r²
111x²/π = r²
Take square root on both sides
√111/π x = r
Hence, the expression represents the radius of the cone's base is √111/π x = r
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Simplify.
Rewrite the expression in the form y^n.
(y^2)^3 =
Answer:
[tex]y^6[/tex]
Step-by-step explanation:
So there is an exponent identity that states: [tex](x^b)^a = x^{a*b}[/tex] which means this question becomes: [tex](y^2)^3 = y^{2*3} = y^6[/tex].
Just so you completely understand why this works, it might help to express y^2, as what it truly represents: [tex]y^2=y*y[/tex]. So using this definition we can substitute it into the equation so it becomes: [tex](y*y)^3[/tex]. Now let's use the definition of exponents like we just did with the y, to redefine this in terms of multiplication: [tex](y*y)^3 = (y * y) * (y * y) * (y * y)[/tex]. We can just multiply all these out, and we get: [tex]y * y * y * y * y * y =y^6[/tex].
To make it a bit more general when we have the exponent: [tex]x^b[/tex] it can be expressed as: [tex](x*x*x...\text{ b amount of times})[/tex] now when we raise it to the power of a. we get: [tex](x * x * x...\text{ b amount of times})^a[/tex] which can further be rewritten using the definition of an exponent to become the equation: [tex](x*x*x\text... \text{ b amount of times}) * (x * x * x...\text{ b amount of times})...\text{ a amount of times}[/tex] which just simplifies to: [tex]x*x*x*x...\text{ a times b amount of times}[/tex]. Hopefully this makes the identity a bit more understandable
I cant figure this out
The length and width of the rectangle with an area of 120 units² are 12 units and 10 units respectively.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the width, hence:
length = x + 2
The area of a rectangle is the product of its length and its width.
Area = length * width
Area = x(x + 2)
120 = x² + 2x
x² + 2x - 120 = 0
x = 10, length = 10 + 2 = 12
The length and width of the rectangle with an area of 120 units² are 12 units and 10 units respectively.
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Factor the greatest common factor: 28a3b4 20a2b2 − 16ab3. 4ab(7a2b 5a − 4b2) 4ab2(7a2b 5a − 4b) 4ab2(7a2b2 5a − 4b) 4ab(7a2b3 5a − 4b)
Answer:
4ab2(7a2b2 5a - 4b)
Step-by-step explanation:
28a3b4 20a2b2 − 16ab3
The GCF of 28, 20 and 16 is 4.
GCF of the variables is ab2
So the answer is
4ab2(7a2b2 5a - 4b)
Answer:
4ab2(7a2b2 5a - 4b)
Step-by-step explanation:
When bowling, the scoring rule for a spare is 10 points and then the points scored in the next delivery. Group of answer choices True False
The given statement is True for the scoring rule in bowling.
Scoring Rule in Bowling
The number of frames in a game of bowling is ten. According to the scoring rule in bowling, the bowler will have two opportunities to use their bowling ball to remove as many pins as they can throughout each frame.
Every bowler will complete their frame in a predefined order before the next frame starts in games with more than one bowler, which is typical.
Rule for Spare
A bowler is given a strike if they can remove all 10 pins with their first ball. A spare is achieved when the bowler uses both of the two balls in a frame to remove all 10 pins.
Depending on whether the next two balls (for a strike) or the next ball (for a goal) are scored, bonus points are given for both of these (for a spare), as per the scoring rule.
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Find the missing length of the triangle (Side AC)
Answer: 17.3 cm
Step-by-step explanation:
[tex]\tan 68^{\circ}=\frac{AC}{7}\\\\AC=7\tan 68^{\circ}\\\\AC \approx 17.3[/tex]
Which expressions are equivalent to the given expression 5 log 10 x + log10 20 - log10 10
The expression which is equivalent to [tex]5 log_{10}x+log_{10}20-log_{10}10[/tex] is
[tex]$5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-1[/tex].
What is the logarithmic equation?A logarithmic equation exists as an equation that applies the logarithm of an expression having a variable.
Product Rule Law: [tex]log_{a} (MN) = log_{a} M + log_{a} N[/tex]
Quotient Rule Law: [tex]log_{a} (M/N) = log_{a} M - log_{a} N[/tex]
Power Rule Law: [tex]log_{a}M^{n} = n log_{a} M[/tex]
Given: [tex]5 log_{10}x+log_{10}20-log_{10}10[/tex]
[tex]5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5) +log_{10}20 -log_{10}10[/tex]
apply the law of logarithm
[tex]5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5*20/10)[/tex]
[tex]5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5*2)[/tex]
[tex]5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(2x^5)[/tex]
Another possible equivalent expression is:
[tex]$5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5*20)-log_{10}10[/tex]
[tex]$5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-log_{10}10[/tex]
Substitute the value of [tex]log_{10}10 = 1[/tex]
[tex]$5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-1[/tex]
Therefore, the correct answer
[tex]$5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-1[/tex].
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The following statistics describe the hourly wages paid by two firms. Firm A Firm B Sample size 50 40 Sample mean $16.5 $16 Population standard deviation $0.9 $0.85 The test statistic used to evaluate whether there is any significant difference between the mean hourly wages is:
The t-test statistic is used to evaluate whether there is any significant difference between the mean hourly wages.
What is t-test?To evaluate whether there is a statistically significant difference between the means of two variables, a t-test is an inferential statistic that is utilized.
A statistical test for assessing hypotheses is the t-test.
The difference between the means from each data set, the standard deviation of each group, and the total number of data values are the three basic data values needed to do a t-test.
There are independent and dependent T-tests.
The problem statement is established mathematically by using a sample from each of the two sets in the t-test. It presupposes that the two means are equal, which is the null hypothesis.
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Wright in point-slope form, slope-intercept form and in standard form an equation that passes through (-1, 2) with slope 4
Point-slope form
[tex]y-2=4(x+1)[/tex]
Slope-intercept form
[tex]y-2=4x+4 \\ \\ y=4x+6[/tex]
Standard form
[tex]4x-y+6=0[/tex]
Answer:
[tex]\textsf{Point-slope form}: \quad \sf y-2=4(x+1)[/tex]
[tex]\textsf{Slope-intercept form}: \quad \sf y=4x+6[/tex]
[tex]\textsf{Standard form}: \quad \sf 4x-y=-6[/tex]
Step-by-step explanation:
Given information:
Slope = 4Point on line = (-1, 2)Point-slope form of linear equation:
[tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
Substitute the given slope and point into the formula:
[tex]\implies \sf y-2=4(x-(-1))[/tex]
[tex]\implies \sf y-2=4(x+1)[/tex]
Slope-intercept form of a linear equation:
[tex]\sf y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
Substitute the given slope and point into the formula and solve for b:
[tex]\implies \sf 2=4(-1)+b[/tex]
[tex]\implies \sf b=6[/tex]
Therefore:
[tex]\sf y=4x+6[/tex]
Standard form of a linear equation:
[tex]\sf Ax+By=C[/tex]
(where A, B and C are constants and A must be positive)
Rearrange the found slope-intercept form of the equation into standard form:
[tex]\implies \sf y=4x+6[/tex]
[tex]\implies \sf 4x-y+6=0[/tex]
[tex]\implies \sf 4x-y=-6[/tex]
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what is the solution to the equation below? square root 2-3x/square root 4x=2
Answer:
X=4 easy blah blah blah it’s 4. jdjjdjfnfvbdnnfn
The volume of an object that is recorded as 46cubic cm which was 15% from the actual volume
Two possibilities --- see below
Step-by-step explanation:
So it could be GREATER than 46
.85 x = 46 x = 54.11 cm^3
Or it could be smaller than 46
46= (1.15) x x = 40 cm^3
Help please
please
Please
Gradient = rise/ run
rise is d
run is the difference in our x coordinates of c & e
(or c - e)
So, it's d/C - e
(3rd option)
Hope this helps!
Answer:
3rd option
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = E (e, 0 ) and (x₂, y₂ ) = (c, d )
m = [tex]\frac{d-0}{c-e}[/tex] = [tex]\frac{d}{c-e}[/tex]
What are the coordinates of vertex A of square ABCD
A(-1,-6)
B(-1,-2)
C(-1,6)
D(-2,1)
The given points on the final image A''B''C''D'', and the transformation gives;
The coordinates of the vertex A of square ABCD is the option;
D. A(-2, 1)
How can the coordinate of the point A on the pre-image be found?From the figure, we have;
A''(-5, -3), B''(-3, -1), C''(-1, -3), D''(-3, -5)
The given transformation is presented as follows;
[tex] T_{ (- 4 , \: - 1)} \circ \:R_ {( O , \: 90^{ \circ} )}[/tex]
The formula for a rotation of 90° about the origin is presented as follows;
(x, y) rotation of 90°→ (-y, x)Therefore;
(-y, x) reverse rotation of 90°→ (x, y)Therefore;
A''(-5, -3) → A'(-5 + 4, -3 + 1) = A'(-1, -2)
B''(-3, -1) → B'(-3 + 4, -1 + 1) = B'(1, 0)
C''(-1, -3) → C'(-1 + 4, -3 + 1) = C'(3, -2)
D''(-3, -5) → D'(-3 + 4, -5 + 1) = D'(1, -4)
A'(-1, -2) rotation of 90° reverse → A(-2, 1)The coordinates of the vertex A of square ABCD is therefore;
D. A(-2, 1)
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Square A"B"C"D" has vertex A" at (-5, -3), the coordinates of vertex A before the transformation is A(-2, 1)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Rigid transformation is a transformation that preserves the shape and size of a figure such as translation, reflection and rotation.
Square A"B"C"D" has vertex A" at (-5, -3), the coordinates of vertex A before the transformation is A(-2, 1)
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Determine the area of the figure.
Answer: (x + 11) cm²
Step-by-step explanation:
The formula for the area of a trapezoid is [tex]\frac{1}{2}(a+b)h[/tex], where
a and b are the lengths of the top and bottom sides, andh is the height of the figure.For this figure, [tex]a = 5[/tex] and [tex]b= x+6[/tex] (the top and bottom sides), while [tex]h=2[/tex] (the height).
If we suppose [tex]A[/tex] is the area, plugging these values in, we get
[tex]A = \frac{1}{2}(5 + x + 6)*2[/tex]
[tex]A = \frac{1}{2} * 2 * (x + 11)[/tex]
[tex]A = x + 11[/tex]
All the lengths are in cm, so the area will be (x + 11) cm².
Assume a student received the following grades for the semester: History, B; Statistics, A; Spanish, C; and English, C. History and English are 6 credit-hour courses, Statistics is a 8 credit-hour course, and Spanish is a 6 credit-hour course. If 4 grade points are assigned for an A, 3 for a B, and 2 for a C, what is the weighted mean grade for the semester
The weighted mean grade for the semester is 8.22
What is mean?It is calculated by dividing the total number of values in a set of data, such as measurements or numbers, by the total number of values.
No. of credits for Spanish, History and English = 6
No. of credits for Statistics = 8
Grade points for A = 4
Grade points for B = 3
Grade points for C = 2
Weighted mean = (6 * 2 + 6 * 3 + 8 * 4 + 6 * 2) / 9
Weighted mean = (12 + 18 + 32 + 12) / 9
Weighted mean = 74 / 9 = 8.22
Hence, the weighted mean grade for the semester is 8.22.
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math related!!!!! Pls help look at pic >>>>>
HELPPPP PLSSSSSSSS
-----
Answer:
Translation of 3 units to the left.
Vertical stretch by a factor of 2.
Translation of 5 units down.
Step-by-step explanation:
Transformations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Parent function:
[tex]y=x^2[/tex]
Translate 3 units left
Add 3 to the variable of the function
[tex]\implies y=(x+3)^2[/tex]
Stretch vertically by a factor of 2
Multiply the whole function by 2:
[tex]\implies y=2(x+3)^2[/tex]
Translate 5 units down
Subtract 5 from the whole function:
[tex]\implies y=2(x+3)^2-5[/tex]
Please see the attached graphs for the final transformed function (as well as the graphed steps).
Answer:
a) vertical expansion by a factor of 2; translation 3 units left and 5 units down
b) see attached
Step-by-step explanation:
a.Describing transformations is all about matching patterns. The elements of the transformed function are matched with the elements of a transformation.
Vertical scalingA function is scaled vertically by multiplying each function value by some scale factor. In generic terms, the function f(x) is scaled vertically by the factor 'c' in this way:
original function: f(x)scaled by a factor of 'c': c·f(x)If we want the function f(x) = x² scaled vertically by a factor of 2, then we have
f(x) = x² . . . . . . . original function
2·f(x) = 2x² . . . . scaled vertically by a factor of 2
On a graph, each point is vertically twice as far vertically from some reference point (the vertex, for example) as it is in the original function graph.
Horizontal translationA function is translated to the right by 'h' units when x is replaced by (x -h).
original function: f(x)translated h units right: f(x -h)If we want the function f(x) = x² translated right by 3 units, we will have ...
f(x) = x² . . . . . . . . . . . original function
f(x -3) = (x -3)² . . . . . .translated right 3 units
Note that translation left by 3 units would give ...
f(x -(-3)) = f(x +3) = (x +3)² . . . . translated left 3 units
On a graph, each point of the left-translated function is 3 units left of where it was on the original function graph.
Vertical translationA function is translated upward by 'k' units when k is added to the function value.
original function: f(x)translated k units up: f(x) +kThe value of k will be negative for a translation downward.
If we want the function f(x) = x² translated down by 5 units, we will have ...
f(x) = x² . . . . . . . . . . . original function
f(x) = x² -5 . . . . . . . . .translated down 5 units
Combined transformationsUsing all of these transformations at once, we have ...
f(x) = x² . . . . . . . . . . . . . . . . . original function
c·f(x -h) +k = c·(x -h)² +k . . . scaled by 'c', translated h right and k up
Compare this to the given function:
y = 2(x +3)² -5
and we can see that ...
c = 2 . . . . . . vertical scaling by a factor of 2h = -3 . . . . . translation 3 units leftk = -5 . . . . . translation 5 units downThis is the pattern matching that is described at the beginning.
__
b.When graphing a transformed function, it is often useful to start with a distinctive feature and work from there. The vertex of a parabola is one such distinctive feature.
TranslationThe transformations move the vertex 3 units left and 5 units down from its original position at (0, 0). The location of the vertex on the transformed function graph will be at (x, y) = (-3, -5).
Vertical scalingThe graph of the parent function parabola (y= x²) goes up from the vertex by the square of the number of units right or left. That is, 1 unit right or left of the vertex, the graph is 1 unit above the vertex. 2 units right or left, the graph is 2² = 4 units above the vertex.
The scaled graph will have these vertical distances multiplied by 2:
±1 unit horizontally ⇒ 2·1² = 2 units vertically; points (-4, -3), (-2, -3)±2 units horizontally ⇒ 2·2² = 8 units vertically; points (-5, 3), (-1, 3)The graph of the transformed function is shown in blue in the attachment.
__
Additional comment
The vertical scale factor 'c' may have any non-zero value, positive or negative, greater than 1 or less than 1. When the magnitude is less than 1, the scaling is a compression, rather than an expansion. When the sign is negative, the graph is also reflected across the x-axis, before everything else.
Which represents the inverse of the function f(x) = 4x?
O h(x) = x + 4
O h(x) = x -4
O h(x) = 3/4x
O h(x) = 1/4x
Answer:
last answer:
h(x) = 1/4 x
Step-by-step explanation:
First, change f(x) to y.
f(x) = 4x
y = 4x
Then switch the x and y.
y = 4x
x = 4y
Last, solve for y.
x = 4y
x/4 = 4y/4
x/4 = y
y = x/4
This is the same as:
y = 1/4 x
h(x) = 1/4 x
Which of the following polynomials has a remainder of 24 when divided by x+2?
A. 4x3+2x2+5
B. 3x3+6x−2
C. −2x3+4x2+3x−2
D. x3−2x2−4x+1
Option C is the correct choice [tex]-2x^4+4x^2+3x-2[/tex],
Remainder of a polynomial by substitution
For a polynomial f(x) to give a remainder of 24 when divided by x + 2:
f(-2) = 24
By testing, substitute x = -2 into the equation [tex]-2x^4+4x^2+3x-2[/tex]
[tex]f(x) = -2x^3+4x^2+3x-2\\\\f(-2)=-2(-2)^3+4(-2)^2+3(-2)-2\\\\f(-2)=-2(-8)+4(4)-6-2\\\\f(-2)=16+16-8\\\\f(-2)=32-8\\\\f(-2)=24[/tex]
Since f(-2) = 24 when x = -2 is substituted into [tex]-2x^4+4x^2+3x-2[/tex], then [tex]-2x^4+4x^2+3x-2[/tex] has a remainder of 24 when divided by x+2
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Multiply two and six eighths multiplied by six.
A. fourteen and five eighths
B. sixteen and two eighths
C. sixteen and four eighths
D. seventeen and three eighths
Answer:
C . Sixteen and four eighths.
Step-by-step explanation:
2 6/8 * 6
= 22/8 * 6
= 6*22 / 8
= 132/8
= 16 4/8.
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 4?
A. 1:3
B. 3:1
C. 1:4
D. 4:1
Answer:
c 1:4
Step-by-step explanation:
Please answer quickly
1a) 256/9
2a) 0.0048
3a) 0.64
4a) 2/5
5a) 4.6875
1b) 125/343
2b) 32/3125
3b) 0.003125
4b) 48.875
5b) 1.39
Whew! Hope this helps :)
We can learn a lot about a population if we select a ______ of it. Group of answer choices population subset data set case
We can learn a lot about a population if we select a subset of it.
What is a subset?One kind of set is a sample space. It is a clear listing of every event that could occur in a statistical experiment. A statistical experiment's events are a subset of the sample space.
A subset is a smaller group of results that are part of the bigger group.
Subsets are events, and events are subsets. A subset is an event of a sample space, and an event is a potential result of an experiment. A random experiment's sample space is a set (S) that contains all of the experiment's potential outcomes.
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