Solution of 8^x=1000 is x ≈ 3.322 .
Use the
law of logarithms
[tex]log x^{n} = nlogx[/tex]
The word algorithm does not appear in data protection law. But an algorithm often results in an automated decision (or algorithmic decision making). It is code that decides something. There is a law that deals with automated individual decision-making and this is very relevant to algorithms.
An algorithm is a set of rules or a computational procedure that is typically used to solve a specific problem.
Applies to logarithms to any base.
Take the ln ( natural log) of both sides.
log 8^x = log 1000
An algorithm is a procedure used for solving a problem or performing a computation. Algorithms act as an exact list of instructions that conduct specified actions step by step in either hardware- or software-based routines. Algorithms are widely used throughout all areas of IT.
Using the above law
x log 8 = log 1000
dividing both side by log 8
[tex]\frac{xlog8}{log8} = \frac{log1000}{log8}[/tex]
x = ㏒8 (1000)
[tex]log_{a} b = \frac{log_{c}b }{log_{c}a }[/tex]
[tex]x = log_{10} 1000/log_{10} 8[/tex]
x ≈ 3.322 to 3 decimal places
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Find X and Y I WILL MARK BRAINLIEST
Answer:
x = 40°
y = 35°
Step-by-step explanation:
Let us take two triangles ∆ABC and ∆ADE
We know that, in a triangle the sum of all angles is equal to 180°
So,
For the traingle ABC
m∠A = 80°m∠B = 60°m∠C = x°Now,
m∠A + m∠B + m∠C = 180°
80° + 60° + x° = 180°
140° + x° = 180°
x° + 140° - 140° = 180° - 140°
x = 40°
For the triangle ADE
m∠A = 80°m∠D = 65°m∠E = y°Now,
m∠A + m∠D + m∠E = 180°
80° + 65° + y° = 180°
145° + y° = 180°
y° + 145° - 145° = 180° - 145°
y = 35°
Thus, The value of x and y is 40° and 35° respectively
Evaluate the expression.343 ^ { 4 / 3 }
In order to evaluate the expression, we must first understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. the expression.343 ^ { 4 / 3 } is 7,625
In order to evaluate the expression, we must first understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. Therefore, we will first calculate 343^4 and then divide the result by 3. 343^4 = 7,741,675. 7,741,675 divided by 3 is equal to 2,580,558.33. When rounded to the nearest whole number, the answer is 7,625.The expression 343^ {4/3} can be broken down into 343 to the power of 4 divided by 3. Before we evaluate the expression, we must understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. Therefore, we will first calculate 343^4 and then divide the result by 3. 343^4 can be calculated using the formula 343 x 343 x 343 x 343. This results in 7,741,675. 7,741,675 divided by 3 is equal to 2,580,558.33. When rounded to the nearest whole number, the answer is 7,625.
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what assumption is checked when looking at a qqplot in a one-way anova model? select one: a. independence assumption b. identically distributed assumption c. normality assumption d. equal variances among the groups
Therefore, option (c)normality assumption is checked when looking at a Q–Q plot in one-way ANOVA model.
What is Q–Q plot ?In statistics, a Q–Q plot is a probability plot, a graphical method for comparing two probability distributions by plotting their quantiles against each other. A point on the plot corresponds to one of the quantiles of the second distribution plotted against the same quantile of the first distribution
Here,
normality assumption is checked when looking at a Q–Q plot in one-way ANOVA model.
Explanation: The core tenet of the assumption of normality states that the sample mean distribution (across independent variables) is normal. Technically speaking, the Assumption of Normality asserts that the mean's sampling distribution or the distribution of means among samples is normal.
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please help me find the answer
Answer:
the last one is obviously represent a linear of function
The table shows values for functions f(x) and g(x) .
x=-2
x=-1
x=0
x=1
x=2
The solution to the equality of the functions f(x) and g(x) are;
At x = 0 and x = 1
How to find the point where the functions are equal?We are given the functions as;
f(x) = 3ˣ and g(x) = 2x + 1
Now, we want to find the point at which the functions f(x) and g(x) are equal. This is;
f(x) = g(x)
Thus, from the graph, we can see that;
When x = 0, f(x) = 1 and g(x) = 1
Similarly, when x = 1, f(x) = 3 and g(x) = 3
Thus, these are the points where f(x) is equal to g(x)
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In ΔWXY, \overline{WY} WY is extended through point Y to point Z, \text{m}\angle YWX = (3x+17)^{\circ}m∠YWX=(3x+17) ∘ , \text{m}\angle XYZ = (10x-5)^{\circ}m∠XYZ=(10x−5) ∘ , and \text{m}\angle WXY = (3x+2)^{\circ}m∠WXY=(3x+2) ∘ . Find \text{m}\angle WXY.m∠WXY
The value of ∠WXY = 20.
What is Exterior angle theorem?
The exterior angle theorem describes the connection between the two remote angles in a triangle and the external angle created by an extended side outside the triangle.
Given: Measure of angle YWX = (3x + 17) °
Measure of angle WXY = (3x + 2) °
Measure of angle XYZ = (10x − 5) °
Therefore, m∠XYZ = m∠YWX + m∠WXY (exterior angle theorem)
⇒ (10x − 5) ° = (3x + 17) ° + (3x + 2) °
Solve for x,
⇒ 10x - 5 = 3x + 17 + 3x + 2
⇒ 10x - 6x = 17 + 7
⇒ 4x = 24
⇒ x = 6
∴ ∠WXY = (3x + 2) = 18 + 2 = 20
Hence, value of ∠WXY = 20.
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The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes 8 hours for a car moving at 45 mph How long does the trip take for a car moving at 30 mph?
Time ∝ 1/Speed
Time = k/Speed
k = Time x Speed
The time taken for the trip for the car moving at 30 mph is 12 hours.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 7 is an equation.
We have,
Time ∝ 1/Speed
This can be written as,
Time = k/Speed
k = Time x Speed
Now,
The trip takes 8 hours for a car moving at 45 mph.
This means,
k = 8 x 45
k = 360
Now,
The time taken at the speed of 30 mph.
Time = k / Speed
Time = 360/30
Time = 12 hours
Thus,
The time taken for the trip for the car moving at 30 mph is 12 hours.
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what is the probability that a person selected at random will live on campus or have a low intention of attending the fair?
The probability that a person selected at random will live on campus OR have a low intention of attending the Fair is 0.584.
The data of Intention of Attending the Fall Career Fair is given below:
High Medium Low TOTAL
On Campus 99 102 22 223
Off Campus 78 80 43 201
>20 mi. Away 18 32 26 76
TOTAL 195 214 91 500
We have to find the probability that a person selected at random will live on campus OR have a low intention of attending the Fair.
Probability that a person selected at random will live on campus OR have a low intention of attending the Fair = P(on campus) + P(low) - P(on campus and low)
Probability that a person selected at random will live on campus OR have a low intention of attending the Fair = 223/500 + 91/500 - 22/500
Probability that a person selected at random will live on campus OR have a low intention of attending the Fair = 292/500
Probability that a person selected at random will live on campus OR have a low intention of attending the Fair = 0.584
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The right question is:
The data shown below is for a sample of LSU students to evaluate their intention of attending the Fall 2023 Career Fair based on where they live.
Intention of Attending the Fall Career Fair
High Medium Low TOTAL
On Campus 99 102 22 223
Off Campus 78 80 43 201
>20 mi. Away 18 32 26 76
TOTAL 195 214 91 500
What is the probability that a person selected at random will live on campus OR have a low intention of attending the Fair?
Differentiate implicitly to find dy/dx. 2x^2+8xy+6y^2+13y-2=0 dy/dx= Find dy/dx using implicit differentiation. 3x^3=2y^2-9y dy/dx= Use implicit differentiation to find dy/dx. 3y^2=5x-2/5x+2 dy/dx
The first derivative of the implicit functions are listed below:
y' = - 4 · (x + 2 · y) / (8 · x + 12 · y + 13) y' = 9 · x² / (4 · y - 9) y' = 23 / (30 · y)How to use implicit differentiation
In this problem we have an implicit function of the form f(x, y) = 0, whose first derivative shall be found by implicit differentiation. Now we proceed to present the procedure. First, write the entire expression:
2 · x² + 8 · x · y + 6 · y² + 13 · y - 2 = 0
Second, use the derivative rules:
4 · x + 8 · y + 8 · x · y' + 12 · y · y' + 13 · y' = 0
4 · x + 8 · y + (8 · x + 12 · y + 13) · y' = 0
y' = - 4 · (x + 2 · y) / (8 · x + 12 · y + 13)
The same procedure is used in the next two implicit functions:
3 · x³ = 2 · y² - 9 · y
9 · x² = 4 · y · y' - 9 · y'
9 · x² = (4 · y - 9) · y'
y' = 9 · x² / (4 · y - 9)
3 · y² = 5 · x - (2 / 5) · x + 2
6 · y · y' = 5 - 2 / 5
6 · y · y' = 23 / 5
y' = 23 / (30 · y)
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evaluate √24−x when x = 6. write the answer in simplified radical form.
Given √24−x when x = 6 in simple radical form is 3*√2.
What is radical form?Simply put, simplifying a radical eliminates the need to find any further square roots, cube roots, fourth roots, etc.
Additionally, it entails eliminating any radicals from a fraction's denominator.
The square root of 2 or root 2 is represented using the square root symbol √ and written as √2 whose value is 1.414.
So, we have:
√24−x when x = 6
Thus we must now calculate the square root of 18.
The square root, if you're allowed to use a calculator, is 4.242.
If not, however, let's come as close as we can:
√(9 * 2)
Since 3 is the square root of 9:
3*√2
Therefore, given √24−x when x = 6 in simple radical form is 3*√2.
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write an equation for the graph shown in the form $y=ax b.$
The required straight equation will be y = -0.5x + 27.5 passes through the points (-5, 0) and (5, 2).
What are equations in a straight line?
A straight line's equation is given by y=mx+c, where c is the height at which the line intersects the y-axis (often referred to as the y-intercept) and m is the gradient.
According to the given graph,
We can see two points are (-5, 0) and (5, 2)
The linear equation will be: y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Here
x₁ = -5, y₁ = 0
x₂ = 5, y₂ = 2
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]
Substitute values in the equation, we get
⇒ y - 0 = (2 - 0)/(8-4)(x-(-5))
⇒ y - 30 = (2)/(-4)(x + 5)
⇒ y - 30 = -1/2(x + 5)
⇒ y = (-1/2)x - 5/2 + 30
⇒ y = -0.5x + 27.5
Thus, the required equation will be y = -0.5x + 27.5 passes through the points (-5, 0) and (5, 2).
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Write an equation for the graph shown in the form y=ax+b.
how to find asymptotes of a rational function
Step-by-step explanation:
you devide the upper half of a fraction with the part under it. for example
6x2+x+1
_______=6. that is asymptote
x2+2
when you multiply 6 and lower half of a fraction you get 6x2+12
if you substract that from 6x2+x+1 you get x-11
if you make x-11=0 the number that x represents is the point where the function crosses the asymptote
HELP MEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
t ≈ 7.7
Step-by-step explanation:
r ^nt
A = P ( 1 + ------- )
n
A = 3000
P = 1500
n = 12
r = 0.09
t = ?
0.09
3000 = 1500 ( 1 + ------- ) ^(12)(t)
12
0.09
3000 = 1500 ( 1 + ------- ) ^(12)(t)
÷1500 ÷1500 12
0.09
2 = ( 1 + ------- ) ^(12)(t)
12
Change into logs and divide
log 2
---------------------- = 12t
0.09
log (1 + ----------)
12
multiply both sides by (1/12)
log 2
(1/12) ---------------------- = 12t (1/12)
0.09
log (1 + ----------)
12
7.7304805 = t
7.7 ≈ t
I hope this helps!
SHOW WORK FOR BRAINLIST DUE TODAY
The transformations from the parent function are
Translation left by 3 unitsReflection across the x-axisTranslation down by 4 unitsThe graph of the absolute functionFrom the question, we have the following parameters that can be used in our computation:
g(x) = -|x + 3| - 4
The above function is an absolute value function
Next, we plot the graph using a graphing calculator
See attachment for the graph
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = |x| --- the parent function of an absolute value function
g(x) = -|x + 3| - 4 -- the transformed function
First, we have the transformation to be:
From f(x) = |x| to f'(x) = |x + 3|
This means the function is translated left by 3 units
Next, we have:
From f'(x) = |x + 3| to f'(x) = -|x + 3|
This means the function is reflected across the x-axis
Lastly, we have:
From f'(x) = -|x + 3| to g(x) = -|x + 3| - 4
This means the function is translated down by 4 units
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At a store, a shirt was marked down in price by $10.00. A pair of pants doubled in price. Following these changes, the price of every item in the store was cut in half. write two different expressions that represent the new cost of the items, using s for the cost of each shirt & P for the cost of a pair of pants. Explain the different information each one shows.
The required new price of the shirts and pair of paints is given as y = [s - 10]/2 and y = [2p]/2 respectively,
Given that,
At a store, a shirt was marked down in price by $10.00. A pair of pants doubled in price. Following these changes, the price of every item in the store was cut in half.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
let y be the total cost for each different item
cost of the shirt = s - 10 and pair of pants = 2p
According to the question,
y = s - 10 / 2 and y = 2p / 2
Thus, the required new price of the shirts and pair of paints is given as y = [s - 10]/2 and y = [2p]/2 respectively,
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Michael picks cucumbers from his garden and bags them up to give to his neighbors. He starts with 40 bags of cucumbers and gives out 8 bags per hour until there are none left. Use the Segment tool to plot a graph representing the number of bags of cucumbers Michael has left to give away from the time he starts giving them away until he has no bags left.
You would start at points (0, 40) and then move to (1, 32), (2, 24), (3, 16), (4, 8), and (5, 0) because he gives out 8 bags per hour.
What is a line graph?
An informational shift over time is graphically represented by a line graph. It is a graph that was created by connecting points with line segments.
Michael starts with 40 bags of cucumbers and gives out 8 bags per hour until there are none left.
Michael starts giving them away until he has no bags left.
To create the graph we need coordinate points to locate on the graph.
So initially he has 40 bags and gives away 8 bags for every 1 hour.
The number of bags will be represented on the y-axis, and the number of hours will be represented on the x-axis.
The coordinates are:
x-axis y-axis
0 40
1 32
2 24
3 16
4 8
5 0
Hence, you would start at points (0, 40) and then move to (1, 32), (2, 24), (3, 16), (4, 8), and (5, 0) because he gives out 8 bags per hour.
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Find the slope of the line that contains the following points: (-7, 8) and (12, 8)
The slope of the line that contains the points: (-7, 8) and (12, 8) is 0
How to calculate the slope of the line?From the question, the points are given as
(-7, 8) and (12, 8)
Rewrite the above points properly
So, we have the following ordered pairs
(x, y) = (-7, 8) and (12, 8)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (-7, 8) and (12, 8)
Substitute the known values in the above equation
So, we have the following equation
Slope = (8 - 8)/(12 + 7)
Evaluate
Slope = 0
Hence, the slope of the line is 0
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Please help. Math- Thank you
The simplified expression, when using the Quotient rule is b. 1 / 8⁴.
What is the Quotient Rule ?The Quotient Rule allows us to be able to carry out operations on quotients. The rule is such that when dividing quotients with the same base, you should subtract the quotients. For multiplication, you add the quotients.
8 ⁵ / 8 ⁹ will therefore be:
= 8 ⁵ ⁻ ⁹
= 8 ⁻⁴
8 ⁻⁴ is the equivalent of 1 / 8⁴ because when a number is taken to a negative power, then that number becomes a denominator to 1.
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A ladder is leaning against a vertical wall makes an angle of 20° with the ground. The foot of the ladder is 3 m from the wall. Find the length of ladder (Round to the nearest whole number).
If you choose the 20 degree acute angle, the distance between the foot of the ladder and the wall represents the [Select] leg. Since we are given the [Select] leg and solving for the hypotenuse, we need to use [Select] to solve for the length of the ladder. The length of the ladder when solved is [Select] meters.
Options for blank #1: adjacent, opposite, hypotenuse
Options for blank #2: adjacent, opposite, hypotenuse
Options for blank #3: sine, cosine, tangent
Options for blank #4: 3, 1, 9, 4
The length of the ladder is approximately 3 m. The correct option is the first option 3
Calculating the length of a ladderFrom the question, we are to calculate the length of the ladder.
From the given information,
The ladder makes an angle 20° with the ground
and
The foot of the ladder is 3 m from the wall
This scenario gives a right triangle where the hypotenuse is the ladder and the adjacent is the distance of the foot of the ladder from the wall.
Let the length of the ladder be x
Thus,
Using SOH CAH TOA
We can write that
cos 20° = 3 / x
x = 3/(cos 20°)
x = 3.19
x ≈ 3 m
Hence, the length is approximately 3 m
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It is given that p : q : r = 0.8 : 4 : 0.2.Calculate the percentage of r of the total of p,q and r.
A.1%
B.4%
C.20%
D.25%
Answer:
B) 4%
Step-by-step explanation:
The total is
.8 + 4 + .2 = 5
[tex]\frac{r}{t}[/tex] = [tex]\frac{.2}{5}[/tex] = 0.04 = 4% To change a decimal to a percent multiply by 100%
An athlete runs 200 metres race in 24 seconds. what is his speed in km/h
Answer:(29.85km/h)
Step-by-step explanation:
1000m=1km
200m=x [x=(200m/1000m)x1km]
x=0.2km
3600second= 1 hour
24 seconds =b [b=(24s/3600s)x1 hour ]
b=0.0067(in 2 decimal place)
velocity in km/h will be
0.2km/0,0067secs
=29.85(in 2 decimal place)
Answer:
speed = 30 km/h
Step-by-step explanation:
We are told that a 200 metres race is run by an athlete in 24 seconds. The question then asks us to calculate the athlete's speed in km/h.
To do this, let's first convert the given data into the required units:
• Converting from metres to kilometres:
To convert from 200 metres to kilometres, we have to divide it by 1000:
200 m = 200 m ÷ 1000 m/km
= 0.2 km
• Converting from seconds to hours:
To convert 24 seconds to hours, we have to divide it by 3600:
24 s = 24 s ÷ 3600 s/h
= [tex]\frac{24}{3600}[/tex] h
Now that we have the data in the appropriate units, we can use the following formula to calculate speed:
[tex]\boxed{\mathrm{speed = \frac{distance}{time}}}[/tex]
⇒ speed = [tex]\mathrm{\frac{0.2 \ km}{24/3600 \ h}}[/tex]
⇒ speed = 30 km/h
Therefore, the speed of the athlete is 30 km/h.
we want to test the hypothesis: the fraction of people with severe depression is higher in country a than in country b. we have chosen the statistic of interest to be (fraction of depressed people in country a divided by fraction in country b). we call this ratio r. what is the null hypothesis?
The null hypothesis is R = 0
In this question we have been given a hypothesis that the fraction of people with severe depression is higher in country a than in country b.
We need to test the hypothesis.
Suppose that we have chosen the statistic of interest to be PAPB.
Let the ratio R be the fraction of depressed people in country a divided by fraction in country b
We need to find the null hypothesis.
We know that the null hypothesis as statement says that there is no relationship between two measured variables/phenommena.
In this case, for null hypothesis the ratio must be zero.
Therefore, for given situation the null hypothesis is R = 0
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The complete question is:
We want to test the hypothesis: the fraction of people with severe depression is higher in country A than in country B.
We have chosen the statistic of interest to be PAPB (fraction of depressed people in country A divided by fraction in country B). We call this ratio R.
What is the null hypothesis?
Group of answer choices
1 R=0
2 R=1
what is the rate of change?
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{50}~,~\stackrel{y_1}{45})\qquad (\stackrel{x_2}{70}~,~\stackrel{y_2}{61}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{61}-\stackrel{y1}{45}}}{\underset{run} {\underset{x_2}{70}-\underset{x_1}{50}}} \implies \cfrac{ 16 }{ 20 } \implies {\Large \begin{array}{llll} \cfrac{4 }{ 5 } \end{array}}[/tex]
Find the value of x.
Answer:
[tex]120^{\circ}[/tex]
Step-by-step explanation:
Using the exterior angle theorem, [tex]x=50^{\circ}+70^{\circ}=120^{\circ}[/tex].
Answer:
Step-by-step explanation:
we know the inside total angles for triangle is 180 degrees.
We are given the two internal angles as 70 and 50 degrees.
So the equation can be written as
70+50+y = 180
y= 60
Also, we know that straight line is 180 degrees. Now we can write the second equation as follow:
60+x = 180
x = 120 degrees
Evaluate the iterated integral. The first integral is 0 to 2 and the second integral is 2 to 3. xy^2 dx dy. Please show step by step with detail. Thanks
The value of the iterated integral is equal to 24. In general, when evaluating iterated integrals, it is important to remember to integrate with respect to the outer variable first, and then with respect to the inner variable. This will ensure that the resulting value of the integral is correct.
To evaluate this iterated integral, we need to integrate with respect to the outer variable first, and then with respect to the inner variable. In this case, the outer variable is x and the inner variable is y.
We can write the iterated integral as:
∫₀² ∫₂³ xy² dx dy
To find the value of this integral, we first need to evaluate the inner integral with respect to x. We can do this by taking the integral of xy² with respect to x from 0 to 2, which gives us:
∫₀² xy² dx = [x³y² / 3]₀² = (2³ * 3²) / 3 = 24/3
Now that we have found the value of the inner integral, we can evaluate the outer integral with respect to y. We can do this by taking the integral of 24/3 with respect to y from 2 to 3, which gives us:
∫₂³ (24/3) dy = [24y / 3]₂³ = (24 * 3) / 3 = 24
Therefore, the value of the iterated integral is equal to 24.
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The tree diagram represents an
experiment consisting of two trials.
.5 - A - A - .4 - c
.5 - B - .3 - c
.7 - D
P(A) =
Answer:
P(A) =0.5 obviously since it didn't say like P(AC) or P(AD)
What equals number nineteen
13+16 are the numbers that equals to 19.
What is equal number?The equal sign in the mathematics describes by equality between the values,. Of the equations, or expressions are the written on both sides. There symbol for equal to is two be the small horizontal lines placed to parallelly. We place the to the 'equal to' sign is between two things that are to the same or equal.
As we know,
If two things are equal or if one thing is equal to the another, they are the same or in the size, number, standard, or values .
As per the question we have to find equal number of 19.
So 13+6 are the equal number that equals to 19.
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please help ASAP will give brainlest IF correct, and if you answer first! thanks sm
Answer:
x = 50
Step-by-step explanation:
we have 110, so
180 - 110 = 70
sum of all angles is 180
60 + 70 + x = 180
x = 180 - 60 - 70
x = 50
10 less than a number
If a+ß+0 =πº, prove that: sin(a+ß-0) + sin(B+0-a) + sin(0+a-B) = 4sina.sinß.sin0
Answer: A+B+C=π⇒A+B=π−C
Step-by-step explanation: I think not sure hope this helps :)