Determine which of the following are possible measures for the exterior angles of a regular polygon, and if possible, find how many sides that polygon has: 90°, 80°, 75°, 30°, 46°, 36°, 2°.

Answer:

Direct

Step-by-step explanation:

Direct variation has the following equation

y = kx ← k is the constant of variation ( a linear equation )

k = \(\frac{y}{x}\) ( that is the variables remain constant )

A direct variation is a linear equation in which the ratio of the value of the variables remains constant.

The equation for a linear direct variation exists y = kx, where k stands for the slope of the line y = mx + b, and the y-intercept, or b, equals zero. Direct variations exist very reasonably in the real world.

Direct variation contains the following equation

y = kx

Where k stands the constant of variation in a linear equation

k = y/x (that stands the variables remain constant).

therefore, the correct answer is option c. direct variation.

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Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

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Work below!

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First, divide $1,190 by 40(hours).

29.75

Now, divide by 20%.

5.95 (round up to 6)

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Hope this helped!

~pinetree

Answer:

Step-by-step explanation:

the consecutive are 39,40,41 and the smallest here is 39

Hope this helped

Hyperbola: y = 1/x

--------------------------------

Shape: open curve with two branches

Domain: Any non-zero real number x < 0, x > 0 or x∈ (-∞, 0) ∪ (0, +∞)

Range: Any non-zero real number y < 0, y > 0 or y∈ (-∞, 0) ∪ (0, +∞)

Locater point: Imaginary point of intersection of asymptotes (0, 0)

Asymptotes: x = 0 and y = 0

(a) The conditional PMF P X∣B (x) of X given the event B={X<4} can be calculated using the formula

P(X=x|B) = P(X=x and B)/P(B).

Since the event B={X<4} includes the events X=1, X=2, and X=3, we can calculate P(B) as the sum of the probabilities of these events:

P(B) = P(X=1) + P(X=2) + P(X=3) = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) = 13/16.

Therefore, the conditional PMF P X∣B (x) is given by:

P(X=1|B) = P(X=1 and B)/P(B) = (1/4)/(13/16) = 4/13
P(X=2|B) = P(X=2 and B)/P(B) = (3/4)(1/4)/(13/16) = 3/13
P(X=3|B) = P(X=3 and B)/P(B) = (3/4)^2(1/4)/(13/16) = 6/13

(b) The probability that your favourite character is eliminated in one of the first two episodes given the spoiler is P(X=1|B) + P(X=2|B) = 4/13 + 3/13 = 7/13.

(c) The expected value of X conditioned on the event B can be calculated using the formula E[X|B] = sum(x*P(X=x|B)) for all x in the support of X. Therefore, E[X|B] = 1*(4/13) + 2*(3/13) + 3*(6/13) = 20/13.

(d) The conditional PMF P X∣C (x) of X given the event C={X>2} can be calculated using the formula P(X=x|C) = P(X=x and C)/P(C). Since the event C={X>2} includes the events X=3, X=4, ..., we can calculate P(C) as the sum of the probabilities of these events: P(C) = P(X=3) + P(X=4) + ... = (3/4)^2(1/4) + (3/4)^3(1/4) + ... = (3/4)^2/(1-(3/4)) = 12/16. Therefore, the conditional PMF P X∣C (x) is given by:

P(X=3|C) = P(X=3 and C)/P(C) = (3/4)^2(1/4)/(12/16) = 1/3
P(X=4|C) = P(X=4 and C)/P(C) = (3/4)^3(1/4)/(12/16) = 1/4
...

(e) The conditional PMF P Y∣C (y) of Y given the event C={X>2} can be obtained by shifting the conditional PMF P X∣C (x) of X given the event C={X>2} by 2 units to the left. Therefore, P Y∣C (y) = P X∣C (y+2) for all y in support of Y. This conditional PMF belongs to the family of geometric random variables with parameter 1/4.

(f) The conditional mean E[X|C] can be calculated using the formula E[X|C] = sum(x*P(X=x|C)) for all x in the support of X. Since the conditional PMF P X∣C (x) is a geometric distribution with parameter 1/4 shifted by 2 units to the right, we can use the formula E[X|C] = 2 + 1/(1/4) = 6.

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The probability of drawing a white ball is 5/13.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, A is known to tell the truth in 5 cases out of 6.

Let W denote the event that A draws a white ball and T the event that A speak truth.

In the usual notations, we have

P(W)= 1/9 and P(T/W)=5/6

\(P(\bar W)\) = 1- 1/9 =8/9

\(P(\frac{T}{\bar W})=1-\frac{5}{6}\)

= 1/6

Using Baye's theorem required probability is given by

\(P(\frac{W}{T})=\frac{P(W\cap T)}{P(T)} =\frac{P(W) P(\frac{T}{W})}{P(W) P(\frac{T}{W})+P(\bar W) P(\frac{T}{\bar W})}\)

= (1/9 ×5/6)/(1/9 ×5/6 + 8/9×1/6)

= 5/13

Therefore, the probability that the white ball was drawn is 5/13.

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\(\text{Area of rectangle} = \text{Length} \times \text{Width}\\\\\\\implies \text{Width} = \dfrac{\text{Area of reactangle}}{\text{Length}} = \dfrac{x^2 +8x +12}{x+6} = \dfrac{x^2 + 6x +2x +12}{x+6}\\\\\\\\ = \dfrac{x(x+6) +2(x+6)}{x+6}=\dfrac{(x+6)(x+2)}{x+6} = x+2\)

Step-by-step explanation:

First let solve the inequality

\(5 {x}^{2} + 2x - 3 < 0\)

Factor by grouping

\(5 {x}^{2} + 5x - 3x - 3 < 0\)

\(5x(x + 1) - 3(x + 1)\)

So the factor are

\((5x - 3)(x + 1)\)

So the factor are

\(x = \frac{3}{5} \)

and

\(x = - 1\)

Solutions to a quadratic can be represented by a absolute value equation because remeber quadratics

creates 2 roots and/or double roots.

The inequality

\( |x - b| < c\)

works as

b is the midpoint between 2 roots. And c is the

\( |x + b| = c\)

We know that the midpoint between both roots is-1/5.

so

\( |x - ( - \frac{1}{5} )| < c\)

\( |x + \frac{1}{5} | < c\)

Let use roots 3/5

\( | \frac{3}{5} + \frac{1}{5} | = \frac{4}{5} \)

-1 works as well.

\( | - 1 + \frac{1}{5} | = | - \frac{4}{5} | = \frac{4}{5} \)

So the absolute value equation is

\( |x + \frac{1}{5} | < \frac{4}{5} \)

Answer:

$8.88

Step-by-step explanation:

-17.62 + 26.50 =

= 26.5 - 17.62

= 8.88

Answer:

$37.70

Step-by-step explanation:

56*.65

pls mark brainliest

Answer:

Solve for p by simplifying both sides of the equation, then isolating the variable.

p = − 300

Step-by-step explanation:

have a nice day

I think p=300???

Sorry if thiz is wrong. i dont really know that much

Answer:

\( y = 3x - 2 \)

Step-by-step explanation:

The equation of the line that passes through two points

\( (x_1, y_1) \) and \( (x_2, y_2) \) is

\( y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) \)

We have points (2, 4) and (4, 10), so we have

\( x_1 = 2 \)

\( y_1 = 4 \)

\( x_2 = 4 \)

\( y_2 = 10 \)

Now we plug in those values into the equation above, simplify, and solve for y.

\( y - 4 = \dfrac{10 - 4}{4 - 2}(x - 2) \)

\( y - 4 = \dfrac{6}{2}(x - 2) \)

\( y - 4 = 3(x - 2) \)

\( y - 4 = 3x - 6 \)

\( y = 3x - 2 \)

Answer:

5.55 (it's repeated but I don't know how to do that on the computer)

Step-by-step explanation:

The simplified expression of 2|5k - 3/5 + 1/10k| is |51/5k - 6/5|

From the question, we have the following parameters that can be used in our computation:

2|5k-3/5+1/10k

Express properly

So, we have

2|5k - 3/5 + 1/10k|

Collect the like terms in the expression

So, we have the following representation

2|5k - 3/5 + 1/10k| = 2|5k  + 1/10k - 3/5|

Evaluate the like terms

This gives

2|5k - 3/5 + 1/10k| = 2|51/10k - 3/5|

Expand the brackets

2|5k - 3/5 + 1/10k| = |51/5k - 6/5|

Hence, the simplified expression of 2|5k - 3/5 + 1/10k| is |51/5k - 6/5|

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Answer:

9-0=9

Step-by-step explanation:

highest- lowest=range

Answer:

Definition: About Transcript. The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.

How to find: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

hope this helps!

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

The given planes are A and B,

A new line, p, is drawn parallel to line l,

Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.

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The image of the remaining question is attached below.

Answer:

X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.

Step-by-step explanation:

Since an employer pays three workers X, Y and Z a total amount of $ 6100 a month, of which X is paid 125% of the amount Y is paid; which represents 80% of the amount Z is paid, to determine how much does X receive a month the following calculation must be performed:

X = 1.25Y

Y = 0.8Z

Z = Z

Z + Y + X = 6,100

Z + 0.8Z + (1.25 x 0.8Z) = 6,100

Z + 0.8Z + Z = 6,100

2.8Z = 6,100

Z = 6,100 / 2.8

Z = 2,178.57

Y = 0.8 x 2,178.57 = 1,742.85

X = 1,742.85 x 1.25 = 2,178.57

2,178.57 + 2,178.57 + 1,742.85 = X

6,099.99 = X

Thus, X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.

Answer:

40,000,000

Step-by-step explanation:

Answer:

Step-by-step explanation:8  4  9  5  6  7  0  5  3  

Ones : 3

Tens : 5

Hundreds : 0

Thousands : 7

Ten Thousands : 6

Hundred Thousands : 5

Million : 9

Ten Million : 4

Hundred Million : 8

there is not sufficient evidence to claim that the variance of the battery life population is different than 4 hours2 at a significance level of 0.05.

answer is D. None of the above.

To test if there is significant evidence to claim that the variance of the battery life population is different than 4 hours2, we can use a chi-square test.This is how the test statistic is computed:

X2 = (n-1)*(s2/σ2)

where n is the sample size, s2 is the sample variance and σ2 is the population variance.

In this case, n = 16, s2 = 3.25 and σ2 = 4

X2 = (16-1)*(3.25/4) = 12.1875

The critical value of X2 with 15 degrees of freedom and α = 0.05 is 24.996. Therefore, since 12.1875 < 24.996, we fail to reject the null hypothesis, and there is not sufficient evidence to claim that the variance of the battery life population is different than 4 hours2 at a significance level of 0.05.

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The expression after evaluating results in the number 114.

BODMAS rule is the rule used when solving expressions involving more than one operations.

It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.

The expression given is,

2 + 23 × 5 - 3

We have to evaluate the expression in the order of BODMAS.

There are no brackets and orders and division.

Start with the multiplication.

2 + 23 × 5 - 3 = 2 + 115 - 3

Next do the addition.

2 + 115 - 3 = 117 - 3

                  = 114

Hence the value of the expression given is 114.

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Answer:

$2,000

Step-by-step explanation:

They already raised

$5358

$2834

$4132

Total: $12,324

They need $14,000

                 -$12,324 =$1,676 is how much more they need

                                    $2,000 more.....round 1676 to 2000

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

\(Probability = 0.006033\)

Step-by-step explanation:

Given

\(Tries = 1000000\)

Required

Determine the probability of 6 different lower case letters (Question continuation)

There are 26 lower case letters.

The first can be any of letters 26

The second can be any of letters 26 - 1

The third can be any of letters 26 - 2

The fourth can be any of letters 26 - 3

The fifth can be any of letters 26 - 4

The sixth can be any of letters 26 - 5

Number of selection is:

\(Selection = 26 * (26 - 1) * (26 - 2) * (26 - 3) * (26 - 4) * (26 - 5)\)

\(Selection = 26 * 25 * 24 * 23 * 22 * 21\)

\(Selection = 165765600\)

The probability is:

\(Probability = \frac{Tries}{Selection}\)

\(Probability = \frac{1000000}{165765600}\)

\(Probability = 0.00603261472\)

\(Probability = 0.006033\) --- approximated

Answer:

---------------------

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

Answer:

400,000

Step-by-step explanation:

➟ 10 × 4 ten thousand

Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000

➟ 10 × 40,000

➟ 400,000