Calculate the simple interest and find the new balance on a principal of $575 deposited at 6.5% for a period of 10 years round the the nearest cent

The probability of five successes where the number of trials is 6 and the probability of success is p = 0.2608, for the binomial probability distribution is; P(x = 5) = 0.00535

The binomial probability function can be expressed as follows;

Pₓ = [tex]\binom{n}{k}[/tex] × Pˣ × (1 - P)⁽ⁿ ⁻ ˣ⁾

Where;

P = The probability of success

x = The number of successes

n = The number of trials

The details from the question includes;

The type of probability distribution = Binomial probability distribution

The number of trials = 6

The probability of success = 0.2608

Therefore;

The probability of success, P = 0.2608

Number of trials, n = 6

The required number of successes, x = 5

Plugging in the above values in the binomial probability formula , we get;

P₅ = [tex]\binom{6}{5}[/tex] × 0.2608⁵ × (1 - 0.2608)⁽⁶ ⁻ ⁵⁾ = 6 × 0.2608⁵ × (1 - 0.2608)⁽⁶ ⁻ ⁵⁾ ≈ 0.0054

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Answer x is 7

Step-by-step explanation:

The three angles are 104degrees, (9x-25) and unknown

The pictures shows that the two sides are equal therefore the two opposite angles are equal

104 + (9x-25) +(9x-25) =180

RE write

104 +2(9x-25) =180

Subract 104 from both sides

2(9x-25) = 180-104

2(9x-25) = 76

Divide both sides by 2

9x - 25 = 38

Add 25 to both sides

9x = 63

Divide both sides by 9

X =7

The angle is 9x-25 = 38

Answer:

Below

Step-by-step explanation:

EVERY triangle's angles add up to 180 degrees

  a RIGHT triangle has a 90 degree angle

       this right triangle also has a 45 degree angle

              let x° = third angle

                     90°  + 45°  + x° = 180°

                                 x = 180 - 90 - 45 = 45 degrees

The measure of the hypotenuse of the triangle is 15 cm.

The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle.

Given that, in a right-angled triangle, the base is 9 centimeters long and the height is 12 centimeters long. we need to find the measure of the hypotenuse of the triangle

Using the Pythagoras theorem,

9² + 12² = h²

h² = 81+144

h² = 225

h = 15

Hence, the measure of the hypotenuse of the triangle is 15 cm

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The value of angle mXUV is 76⁰.

The value of angle mXUV is  109⁰.

The measure of angle mWXU is calculated by applying the following circle theorem.

mWXU  = ¹/₂ ( 152⁰ ) (angle at tangent is half the angle subtended by an arc )

mWXU  =  76⁰

The value of angle mXUV is calculated as follows;

mXUV + mXWV = 180 (opposite angles of a cyclic quadrilateral)

mXWV + 71 = 180

mXWV = 180 - 71

mXWV = 109⁰

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Eric made the wrong ratio of the sides of the triangle. As corresponding sides of both triangles are in proportion to each other. So, the proportion will be x/12=9/5. x equal to 21.6.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. If the corresponding sides and angles of two triangles are proportionate, then the triangles are similar. As a result, using another triangle, we may determine the dimensions of one triangle.

So, the right ratio of the sides of the triangle is x/12=9/5

12 * 9 / 5 =x

108/5 = x

21.6 = x

Therefore, x is equal to 21.6

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Answer:

A. 45/53

Step-by-step explanation:

.............

Answer:

A. 45/53

Step-by-step explanation:

sin ø is A.

have a nice day

With a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.

A scale factor is used when a shape is enlarged and each side is multiplied by the same quantity.

This number represents the scaling factor. Map scale factors are used to show distances between locations accurately.

The new shape created by scaling the original shape is twice as big when the scale factor is 2.

Thus, calculate the larger cylinder's volume as follows:

x/5 = 28/2

2x = 28*5

2x = 140

x = 70m³

Therefore, with a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.

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Complete question:

The scale factor of two similar cylinders is 5:2. The volume of the smaller cylinder is 28 m3. What is the volume of the larger cylinder?

Question 8 options:

A. 700 m3

B. 350 m3

C. 70 m3

D, 437.5 m3

E. 175 m3

Answer: 70m^3

Step-by-step explanation:

I took the test

Answer:

Let's call the time it takes for Kayleigh and Allison to meet each other "t".

We know that Kayleigh runs at a constant rate of 5 miles per hour, so the distance she covers in "t" hours is given by:

Kayleigh's distance = Kayleigh's speed * time = 5t

Allison runs at a constant rate of 3 miles per hour, but she has a 1 mile head start. This means that by the time Kayleigh and Allison meet each other, Allison will have run "t" hours minus the time it took her to cover her head start distance. The time it takes Allison to cover her head start distance is:

Time for Allison's head start = distance / speed = 1 / 3 = 0.33 hours (rounded to two decimal places)

Therefore, when Kayleigh and Allison meet each other, Allison will have run:

Allison's distance = Allison's speed * (t - 0.33) = 3(t - 0.33)

Now, we know that when they meet, Kayleigh's distance is equal to Allison's distance:

Kayleigh's distance = Allison's distance

5t = 3(t - 0.33)

Simplifying and solving for "t", we get:

5t = 3t - 1

2t = 1

t = 0.5

Therefore, it takes Kayleigh and Allison 0.5 hours (or 30 minutes) to meet each other in the race.

Answer: 14.5 and 5.5

Step-by-step explanation:

The issue is using whole numbers. 14+6=20, but 14-6=8.   15+5=20, but 15-5=10. If we use decimals, we can get in between the numbers a little to get 9. 14.5+5.5=20, but unlike 14+6, 14.5 gives 5 a tiny boost to push it to 14.5-5.5=9. Hope that helps!

Answer:

14.5

5.5

Step-by-step explanation:

14.5+5.5=20

14.5-5.5=9

Answer:

y=5/2x-7/2

Step-by-step explanation:

Answer:

The value of x = -4

Step-by-step explanation:

The given linear function is f(x) = -4x+8

We have to find the x corresponding to f(x) = 24

For our convenience, let f(x) = y

Then y = -4x + 8

This equation implies y in terms of x.

Isolating x to one side of the equation, we get,

x = (y - 8)/-4 = (8-y)/4

This equation gives x in terms of y.

So when f(x) = y = 24,

x = (8-24)/4

⇒ x = -4

Answer:

The answer is D hope this helps:)

Step-by-step explanation:

Jevonte's rate of mowing is 1.5 lawns per hour.

A rate in mathematics is an indicator of how one quantity has changed in relation to another, usually given as a ratio or fraction. Rates are frequently used to explain the relationship between two quantities as they vary through time, space, or another variable. For instance, whereas interest rates track the evolution of money over time, speed tracks the change in distance per unit of time. Rates are used to describe and study numerous phenomena in several disciplines, including physics, economics, and finance.

Given that, Jevonte mowed 6 lawns in 4 hours.

Thus,

Rate of mowing = Number of lawns / Number of hours

Rate of mowing = 6 lawns / 4 hours

Rate of mowing = 1.5 lawns per hour

Hence, Jevonte's rate of mowing is 1.5 lawns per hour.

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Answer: 13 pints

Step-by-step explanation:

she used 27 pints at first (9/10 of the 30)

so she has 3 pints left.

and 16-3 = 13 pints.

An equation that describes this function include the following: C. 9x - 7 = y.

In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.

This ultimately implies that, an input value (x-value) represents the value on the x-axis of a cartesian coordinate while a output value (y-value) represents the value on the y-axis of a cartesian coordinate.

Based on the information provided, an equation that models the situation is given by;

9x - 7 = y.

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1. A point less than 1 in Katrina's number line is [tex]\frac{3}{8}[/tex]

2. A point greater than 1 in Eric's number line is 1[tex]\frac{1}{4}[/tex]          

A number line is a straight line with numbers placed at equal distances from each other.

To identify a line less than 1 in a number line divided into 8, we need to know the value of what each point would be

Each values in Katrina's number line should be 0, [tex]\frac{1}{8}[/tex], [tex]\frac{2}{8}[/tex] , [tex]\frac{3}{8}[/tex],  [tex]\frac{4}{8}[/tex],  [tex]\frac{5}{8}[/tex],  [tex]\frac{6}{8}[/tex],  [tex]\frac{7}{8}[/tex]  1

To identify the line greater than 1 in a number line divided into 4, we need to know the values of what each points would be

Each values in Eric's number line should be 1, 1[tex]\frac{1}{4}[/tex], 1[tex]\frac{2}{4}[/tex], 1[tex]\frac{3}{4}[/tex], 2

Check the images below to get a proper view of how your number line should look like.

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Answer:

Below

Step-by-step explanation:

I think statistically that all of the scores will fall within 6 standard deviations   .....   3 above the mean and 3 below the mean

 from 85  to 165 is 3 standard deviations

     165 - 85 = 80       80 / 3 = 26.67 = standard deviation

Hmm.....not sure how they get the S.D. is 40 ....hope someone else can help us !    

Standard bellcurve below.... score 125 does not seem to be in the 1 S.D. position of the curve....Kinda close I guess....

 Maybe they are saying from 80 to 165 is TWO Standard deviations....THAT would equal 40.....what have your lessons been using?

The best estimate of the time it will take Andrea and her friend to paint the fence together is 2.4 hours.

What is work and time in mathematics?

In mathematics, work refers to the amount of effort or energy needed to complete a task or achieve a goal. Work is often measured in units such as joules or calories.

Time refers to the duration or amount of time it takes to complete a task or achieve a goal. Time is often measured in units such as seconds, minutes, hours, or days.

To estimate the time it will take Andrea and her friend to paint the fence together, we can use the formula:

Total Time = (Time for Person 1 x Time for Person 2) / (Time for Person 1 + Time for Person 2)

Using this formula, we can estimate the time it will take Andrea and her friend to paint the fence together as:

Total Time = (6 hours x 4 hours) / (6 hours + 4 hours) = 24/10 = 2.4 hours

Therefore, the best estimate of the time it will take Andrea and her friend to paint the fence together is 2.4 hours.

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Answer:

To convert from Celsius to Fahrenheit, we can use the formula F = (C × 1.8) + 32.

First, we need to convert 10.5 °C to Fahrenheit:

F = (10.5 × 1.8) + 32

F = 18.9 + 32

F = 50.9 °F

Then, we can add the 1.5 °C increase in temperature:

New C temperature = 10.5 + 1.5 = 12 °C

And convert that to Fahrenheit using the same formula:

F = (12 × 1.8) + 32

F = 21.6 + 32

F = 54.6 °F

Therefore, the water temperature this weekend in F° will be approximately 54.6 °F.

Answer: $4.35

Step-by-step explanation:

320.38 rupees / 73.6500 rupees = $4.35

Step-by-step explanation:

This figure is made up of a cone and a semi sphere. Let's find the area of the cone

Volume of a cone

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

The height is 34 cm.

The radius is half the diameter of the sphere ,

this the radius is 14

[tex] \frac{1}{3} \pi( {14}^{2} )(34)[/tex]

Hint: Do not round mid calculations, only when you are done.

Volume of the semi sphere is

[tex] \frac{1}{2} ( \frac{4}{3} \pi {r}^{3} )[/tex]

The radius is 14

[tex] \frac{1}{2} ( \frac{4}{3} \pi(14) {}^{3} )[/tex]

Add both areas

[tex] \frac{1}{3} \pi( {14}^{2} )(34) + \frac{2}{3} \pi(14) {}^{3} [/tex]

Use 3.14 for pi

Which gives us

12719 to the nearest whole number

Answer:

There are 30 + 40 = 70 sections reserved for orange and blue tiles. This means there are 100 - 70 = 30 sections left for other colors.

To express the fraction of the mosaic wall left for other colors, we can write:

30 sections left / 100 total sections = 3/10

Therefore, the fraction of the mosaic wall left for other colors is 3/10.

Answer:

30 miles

Step-by-step explanation:

(12 miles/inch)(2.5 inches) = 30 miles

So, 30 reflects the amount of water that is being removed from the swimming pool per minute in gallons.

In the provided formula, 25,000 - 30x, x is the amount of time in minutes and 30 is the pace in gallons per minute at which the pool is draining.

The expression is a linear equation of the form y = mx + b, where x is the length of time that has passed and y is the amount of water that is still in the pool.

The slope (m) of the equation in this instance is -30, which means that the pool's water level is dropping at a rate of 30 gallons per minute.

The expression's value decreases as more time passes because the value of x rises. As a result of the water draining out of the pool at a constant rate of 30 gallons per minute, the pool's volume is dropping linearly over time.

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Answer:

1. ASA

2.SSS

3. AAS

4. HL

5. it cannot be proven congruent (not satisfy any criteria)

6. ASA (the top angle of each triangle are congruent)

7. SAS

8. SSS

9. HL

10. AAS

11. it cannot be proven congruent (not satisfy any criteria)

12. SAS or AAS or ASA (the three angles of each triangle are congruent)

Step-by-step explanation:

In the picture attached, the triangles are shown. The criteria are:

SSS: side side side

SAS: side angle side

ASA:  angle side angle

AAS: angle angle side

HL: hypotenuse-leg (only valid for right triangles)

if d=11 in then the volume of the sphere=697.19

[tex]V=\frac{4}{3} \pi d[/tex]

[tex]V=\frac{4}{3} *\frac{22}{7} *5.5^{3} =697.19[/tex]

The amount of room a spherical occupies inside is its volume. Because every point on the sphere's surface is equally spaced from its center, the sphere can be considered a three-dimensional round solid object. The fixed point and fixed distance, respectively, represent the sphere's center and radius. V = 4/3 r3, where r is the radius and V is the volume, is the formula for a sphere's volume. The radius of a sphere is equal to half its diameter. A circle and a sphere are both round, if you compare them. As the sphere is a three-dimensional object rather than a two-dimensional circle, we can estimate its volume and surface area.

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Answer:1 in 3 chance

Step-by-step explanation:

There are 5 green, 3 blue, and 7 red. Add them up 5+3+7=15
Then you put it into a fraction [tex]\frac{5}{15} =\frac{1}{3} \\[/tex]
1 over 3 is your answer

Answer:

Using the distributive property on 3(x+7), we get:

3(x+7) = 3x + 37

Simplifying the expression, we get:

3(x+7) = 3x + 21

Therefore, in expanded form, 3(x+7) is equal to 3x + 21.