What is the equation of a line that has a slope of 5 and a y-intercept of 3?

Answer:

3/15 in the simplest form is 1/5....

when you divide by 3 it gives 1/5.

The fraction 3/15 in simplest form is 1/5.

A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.

In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.

In this case, 3 and 15 have a common factor, which is 3. Thus, 3/15 in simplest form will be:

3/15 = 1/5  (divide both numerator and denominator by 3)

Learn more about fraction on:

https://brainly.com/question/11562149

#SPJ6

Answer:

4

Step-by-step explanation:

ㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇ

The probabilities from the binomial probability mass function P(x ≤ 2) will be 0.9298.

Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as

\(\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)

q = 1 - p = 1 - 0.10 = 0.90

Let x be a binomial random variable with p = 0.1 and n = 10.

The probabilities from the binomial probability mass function P(x ≤ 2) will be

P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)

P(x ≤ 2) = ¹⁰C₀ × (0.1)⁰ × (0.9)¹⁰ + ¹⁰C₁ × (0.1) × (0.9)⁹ + ¹⁰C₂ × (0.1)² × (0.9)⁸

P(x ≤ 2) = 0.3487 + 0.3874 + 0.1937

P(x ≤ 2) = 0.9298

Your question was incomplete but the complete question is given below.

Let x be a binomial random variable with p = 0.1 and n = 10. Calculate the probability from the binomial probability mass function less than or equal to 2.

More about the binomial distribution link is given below.

https://brainly.com/question/14565246

#SPJ1

The center will be on the line segment CA because, as we already know, a circle's diameter is a chord that passes through its center.

Therefore, the answers are CA and diameter.

we have that in the question, a circle with center 'O' is passing through three A, B and C, where ∠B is a right angle.

In the circumscribed circle, we have the converse of the Thales' theorem, which states that -

if A, B, and C are distinct points on a circle where angle ∠ABC is a right-angle, then the line AC will be a diameter of the circle.

The given information is drawn in the attached figure.

Applying the converse of Thales' Theorem, we have AC will be a diameter of the circle.

As the longest side (hypotenuse) of a right-angled triangle is the opposite side of the right-angle, CA is the longest side of ABC.

The longest side of the triangle equals the diameter of the circle because CA is likewise a diameter of the circle.

Thus, the center will lie on the line segment CA and the longest side of the triangle is equal to the diameter of the circle.

Learn more about Thales' Theorem at:

https://brainly.com/question/14417137

#SPJ1

#complete question:

Point O is the center of a circle passing through points A, B, and C. ∠B is a right angle.

The center of the circumscribed circle lies on line segment, (options: AB,BC, or CA) and the longest side of the triangle is equal to the (options: radius, diameter, or circumference) of the circle.

From the cyclic quadrilateral, If ∠ADC=120° and AB is a diameter, then ∠BAC=30°

Correct option is A

Given that:  ∠ADC=120

                  ∠ACB=90° (Diameter of the circle subtends an angle of 90°)

Consider  cyclic quadrilateral ABCD:

                  ∠ADC+∠ABC=180°   (sum of opposite angles of a cyclic quadrilateral is 180°)

        Thus, ∠ABC=180°−120°=60°

In △ABC:

                  ∠BAC=180°−∠ACB−∠ABC .....(Sum of three angles of a triangle is 180°)

                  ∠BAC=180°−90°−60°=30°

Answer:     ∠BAC=30°

Learn more on cyclic quadrilaterals here https://brainly.com/question/27884509

#SPJ1

Point Q is the centre of a circle passing through the points A, B, C and D taken in order. If ∠ADC=120° and AB is a diameter, then ∠BAC=

A 30°

B 40°

C 45°

D50°

The triangle in the image is a right triangle. We are given a side and an angle, and asked to find another side. Therefore, we should use a trigonometric function.

Trigonometric Functions: SOH-CAH-TOA

---sin = opposite/hypotenuse, cosine = adjacent/hypotenuse, tangent = opposite/adjacent

In this problem, looking from the angle, we are given the adjacent side and want to find the opposite side. This means we should use the tangent function.

tan(40) = x / 202

x = tan(40) * 202

x = 169.498

x (rounded) = 169 meters

Answer: the tower is 169 meters tall

Hope this helps!

Answer:

170 meters

Step-by-step explanation:

The three sides of a right triangle are named hypotenuse, adjacent side and opposite side and the angle the adjacent side makes with they hypotenuse is θ  (see Figure 1)

In this description the terms
     Opposite --> side  opposite to the angle θ

      Adjacent --> side adjacent  to the angle θ

      Hypotenuse --> longest side of the right triangle

The relationship between the ratio of the shorter sides and and the angle θ in the figure is given by the formula

\(\mathrm {\tan(\theta) = \dfrac{Opposite \; side}{Adjacent \;side}}\)

We can view the Eiffel Tower as the opposite side, the distance from the base to the surveyor location as the adjacent side (see the second figure)

If we let h = height of the Eiffel Tower in meters , opposite side length = h m

The adjacent side length = 202 meters

The angle θ = 40°

Applying the tan formula we get
\(\tan(40^\circ) = \dfrac{h}{202}\\\\\textrm{Multiplying both sides by 202, }\\202 \tan(40^\circ) = h\\\\\\h = 202 \tan(40^\circ) \\\textrm{Using a calculator we get}\\\\h = 169.5\; meters\)

Rounded to the nearest meter, the height = 170 meters

Answer:

The answer is c. 81.76%

The function in this problem is neither odd nor even.

For this problem, we have that f(-0.5) = 0 is different of f(0.5) and of -f(0.5), hence we can prove by contradiction that the function is neither odd nor even.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The values of the expressions after substitution are both -3

The value of m is given as

m = -1

Substitute the known values in the above equation, so, we have the following representation

A. m(2 - m) = -1(2 + 1)

B. m(-m + 2) = -1(1 + 2)

Evaluate the expressions

m(2 - m) = -1(2 + 1) = -3

m(-m + 2) = -1(1 + 2) = -3

Hence, the values of the expressions after substitution are both -3

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

D. The exponents multiply

Answer: D.

Step-by-step explanation:

What I did was a1/2 times 1/2 and got 1/4

a 1/4

Then 1/3 times 1/2 and got b 1/6

b 1/6

D. a 1/3 * b 1/6

Hope that helps!   :}

Answer:

Step-by-step explanation:

Corresponding parts are listed in the same order in the congruence statement:

  RST ≅ TXY

  R ⇔ T

  S ⇔ X

  T ⇔ Y

  RS ⇔ TX

  RT ⇔ TY

  ST ⇔ XY

_____

Above, we have used ⇔ to mean "corresponds to."

Answer:

ok well slope is rise over run so its like if im at this random point on a graph and i need to find the slope i would see how many time i have to go/down up and how many i how have to go over to the side

Step-by-step explanation:

Slope:\(\frac{rise}{run\\}\)

Answer: The interior angles of a triangle always equate to 180, while the exterior angles add up to 360.

Step-by-step explanation:

Two samples drawn from two populations are independent if the selection of one sample from a population is not related to the selection of the second sample from the same population. Option C is correct:

Independence is a fundamental concept in statistics when working with samples from different populations. It refers to the absence of any relationship or connection between the two samples. Option C correctly states that the selection of one sample from a population is not related to the selection of a second sample from the same population.

If the selection of one sample were related to the selection of the second sample from the same population (Option A), it would introduce bias and invalidate the assumption of independence. Similarly, if the two samples selected from the same population had a relationship or connection (Option B), it would violate the principle of independence.

Option D, stating that the selection of one sample from one population does not affect the selection of the second sample from the second population, is not the correct definition of independence. Independence refers to the relationship between samples drawn from the same population, rather than between samples drawn from different populations.

In summary, the independence of two samples implies that the selection of one sample from a population does not affect the selection of the second sample from the same population (Option C). This concept is crucial in statistical analysis to ensure unbiased and reliable results when working with multiple samples.

Learn more about samples here:

https://brainly.com/question/32907665

#SPJ11

To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.

(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).

The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.

This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.

To know more about function visit:
https://brainly.com/question/31062578

#SPJ11s.

The relation between the sides of a triangle is that the sum of the length of the two sides of a triangle is always greater than the other side.

With the help of the triangle inequality theorem,  it can be proved.

We know that,

Triangle has 3 sides.

Let's suppose any triangle ΔABC, where the length of  AB = c, BC=a and AC=b.

We need to prove,

a<b+c or, |BC|<|AB|+|AC|.

We know, that perpendicular is the shortest distance between any vertex to the opposite side.

Draw ΔABC, and extend AC to an external point D such that AB=AD.

Now, |CD|=|AC|+|AD|.

⇒|CD|=|AC|+|AB| [∵As per the drawing AB=AD].

⇒∠DBA<∠DBC[From the picture as ∠DBC = ∠DBA+∠ABD] ...... (i)

⇒∠ADB<∠DBC[For ΔADB, AB=AD. hence, ∠DBA=∠ADB].......(ii)

Again we know that the length of the side of any greater angle is always greater.

⇒|BC|<|CD|

⇒|BC<|AC|+|AB| [From (i) and (ii)]

Hence, we can say the measure of the sum of two sides of a triangle is always greater than the measure of the third side.

Read more about the triangle inequality theorem,

https://brainly.com/question/22559201

#SPJ4

Answer:

Step-by-step explanation:

A: W=17b

B: 867

C: 7.28

Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

The present value of the working capital cash flow expected to be received in year 10 is approximately $101,548.6.

The present value of the working capital cash flow expected to be received in year 10,  to discount it back to its present value using the after-tax cost of capital.

The present value (PV) :

PV = CF / (1 + r)²n

Where:

CF = Cash Flow in year 10

r = After-tax cost of capital

n = Number of years

The cash flow in year 10 is the liquidation of the working capital investment, which is $200,000. The after-tax cost of capital is 10%, which means the discount rate (r) is 0.10. The number of years (n) is 10.

After-tax cost of capital = Cost of capital × (1 - Tax rate)

= 10% × (1 - 30%)

= 0.10 × (1 - 0.30)

= 0.10 × 0.70

= 0.07

The present value of the cash flow:

PV = $200,000 / (1 + 0.07)²10

= $200,000 / (1.07)²10

= $200,000 / 1.967151

= $101,548.68

To know more about  capital here

https://brainly.com/question/679709

#SPJ4

Answer:c

Step-by-step explanation:

Answer:

(3x-16)(2x+15)=0

Answer:

Step-by-step explanation:

5.) -11 = 7 - x

To solve for x, we need to isolate x on one side of the equation. We can do this by adding x to both sides of the equation, and then subtracting 11 from both sides:

-11 + x = 7

x = 7 + 11

x = 18

Therefore, the solution is x = 18.

15.) 95 = -4 + 33x

To solve for x, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides of the equation, and then dividing both sides by 33:

95 + 4 = 33x

99 = 33x

x = 99/33

x = 3

Therefore, the solution is x = 3.

Answer:

(-0.8, 2.2)

Step-by-step explanation:

Where the two lines intersect is the solution to the System of Equations.

Answer:

the answer would be (-0.8, 2.2) since it hasn't hit -3 yet and if it were to be -1 it would be in the bottom left

we have the following:

replacing:

therefore, the mean is 5

Answer:

Explanation:

Here, we want to graph the new image of ABCD

What this means is that we get a new set of coordinates for each of the points

Let us look at the translation rule here, the rule is that the points move 11 units left and 5 units up

What that simply means is that we subtract 11 from the x-axis value, then add 5 to the y-axis value

We have that as follows:

A is (2,-8)

A' becomes (2-11, -8 + 5) which is (-9,-3)

B is (9,-8)

B' becomes (9-11, -8+5) which is (-2,-3)

C is (9,-1)

C' becomes (9-11 , -1+5) which is (-2,4)

D is (2,-1)

D' becomes (2-11,-1+5) which is (

The (x-1)2(x+2) factored polynomial has roots of 5 and -2. In mathematics, a polynomial is a statement with variables.

A polynomial is a mathematical expression that solely uses additions, subtractions, multiplications, and powers of positive integer variables. It is composed of coefficients and uncertainty. A single indeterminate x polynomial is indicated by the expression x2 4x + 7. In mathematics, a polynomial is a mathematical equation made up of variables (sometimes called indeterminates) and coefficients that can be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is a statement in mathematics involving variables and coefficients. The only operations that can be included in an expression are addition, subtraction, multiplication, and non-negative integer exponents. These formulas are known as polynomials.

given

(x - 5)(x + 2) = 0

Using the 0 product property:

Case 1

x - 5 = 0

x = 5

Case 2

x + 2= 0

x = -2

The (x-1)2(x+2) factored polynomial has roots of 5 and -2. In mathematics, a polynomial is a statement with variables.

To know more about polynomials visit:

https://brainly.com/question/11536910

#SPJ4

The probability that the nurse will find the two patients is P =  0.49.

We know that the probability that the nurse finds the client on a particular day is 0.7

So, each time that the nurse goes that a home, that probability is the same and is independent of what happened before.

So if the nurse goes to two houses, the probability that she will find the client on the first home is 0.7

And the probability that she will find the client on the second home is 0.7

Then the joint probability (the product of the two individual ones) is:

P = 0.7*0.7 = 0.49

Learn more about probability:

https://brainly.com/question/25870256

#SPJ1

The area of the sector is π square meters.

Length of arc \(= (90/360)* 2π(2m) = πm\)

To find the area of the sector and the length of the arc, we need to use the formulas:

Area of sector = ( Θ/360 x π\(r^2\)

Length of arc = (θ/360) x 2πr

Given radius (r) = 2m and angle (θ) = 90 degrees, we can plug these values into the formulas to get:

Area of sector = \((90/360) * \pi (2m)^2\)

\(= (1/4) * \pi * 4m^2\)

\(= \pi m^2\)

Therefore, the area of the sector is π square meters.

Length of arc = (90/360) x 2π(2m)

= (1/4) x 4πm

= πm

Therefore, the length of the arc is π meters.

To know more about the area of sector visit:

https://brainly.com/question/7512468

#SPJ1

The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:

Percentage Increase = (Final Value - Initial Value) / Initial Value * 100

a. Calculating the percentage increase:

Initial Value = $140

Final Value = $1,171,000

Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%

b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.

Number of years = 2040 - 2007 = 33 years

Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33

Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69

Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.

Learn more about percentage here: https://brainly.com/question/92258

#SPJ11

Answer:

-6-4(-6)+8

-6+24+8

-6+32

26

Answer:

y=7

Step-by-step explaynation:

Answer:

a) 5p (or 5q)

b) 5p ( or 5q)

c) 10p (or 10q)

Step-by-step explanation:

We will use the following information for solving and using the given figure

Preliminary computation

We have \(\overrightarrow{AB} = \overrightarrow{BC}\)

Therefore 4p + q = 5p

5p = 4p + q

5p-4p = q

p = q

\(\overrightarrow{AB} = 4p + q = 4p + p = 5p = 5q\\\)

So each side is 5p in length which is also equal to 5q since p = q

Part a

\(\overrightarrow{AO} = \overrightarrow{OA} = \overrightarrow{AB} = 5p\)  (same as 5q)

Part b

\(\overrightarrow{OB} = \overrightarrow{OA} = 5p\)   (same as 5q)

Part c
\(\overrightarrow{EB} = 2 \cdot \overrightarrow{OB} = 2 \cdot 5p = 10p\)   (also 10q)