what is 165% written as a decimal and fraction

Answer:

If this cycle continued indefinitely, how much money that eventually resulted from the initial deposit is

500,000 (C is the answer)

The mean and the standard deviation of y are given as follows:

For the multiplication, we have that both the mean and the standard deviation are multiplied by the constant.

For the subtraction, we have that the mean is subtracted by the constant, while the standard deviation remains constant, since all observations are subtracted by the constant, the differences squared between each observation and the mean remain constant.

The original mean and standard deviation are given as follows:

After the multiplication, they are given as follows:

After the subtraction, they are given as follows:

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Final answer:

The mean and standard deviation of the new random variable y, derived from a distribution x with a given mean and standard deviation, are calculated by applying transformations, resulting in a mean of 47 and a standard deviation of 12.

Explanation:

The question asks us to find the mean and standard deviation of a new random variable y = 4x - 5, given a distribution, x, with a mean of 13 and a standard deviation of 3. To calculate the mean of y, we use the transformation y = 4x - 5. The mean of y can be found by substituting the mean of x into this equation, giving us 4(13) - 5 = 52 - 5 = 47. To find the standard deviation of y, we multiply the standard deviation of x by the coefficient of x in the equation, resulting in 3 * 4 = 12. Therefore, the mean of y is 47, and the standard deviation is 12.

Answer:

[tex]\frac{-5}{8} [/tex]

Step-by-step explanation:

Given :  Height of an ice sculpture changes by negative 5 over 32 meters every hour.

To Find: what will be the change in height after 4 hours?

Solution:

Height changes in 1 hour by [tex]\frac{-5}{32}[/tex]

So, the change in height after 4 hours = [tex]\frac{-5}{32} \times 4[/tex]

                                                               = [tex]\frac{-5}{8} [/tex]

Hence,the change in height after 4 hours will be [tex]\frac{-5}{8} [/tex]

The athlete will eat 2.45 kilograms of protein during 7 weeks of training.

To find out how much protein the athlete will eat during 7 weeks of training, we can simply multiply the amount of protein eaten per week by the number of weeks of training.

Given:

Protein eaten per week = 0.35 kg

Number of weeks of training = 7 weeks

Protein eaten during 7 weeks of training = 0.35 kg/week * 7 weeks

Now, calculate the result:

Protein eaten during 7 weeks of training = 2.45 kg

So, the athlete will eat 2.45 kilograms of protein during 7 weeks of training.

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Answer:

26.89 seconds

Step-by-step explanation:

Any number with an 8 in the tenths place will have an 8 with 10 times the value of the 8 in the hundredths place in Armand's time.

The average time it takes to fill one bag of leaves is 0.17 hours or 10 minutes.

The average time it takes to fill one bag of leaves is 0.17 hours or 10 minutes.

To find the average time it takes to fill one bag of leaves, we need to divide the total time spent raking leaves by the number of bags filled. In this case, the total time spent raking leaves is 12 hours and the number of bags filled is 48.

Therefore, the average time it takes to fill one bag of leaves is:

Average time = Total time / Number of bags filled

Average time = 12 hours / 48 bags = 0.25 hours/bag = 15 minutes/bag.

Answer:

72 possible combinations

Step-by-step explanation:

The features in a computer (C) are:

All the possible combinations can be found using the following expression.

C = h × a × v × m = 3 × 4 × 2 × 3 = 72

There are 72 possible combinations to set up a computer.

Answer:

Conditional  and Converse.

Step-by-step explanation:

If a polygon is regular, then it has congruent angles and congruent sides.

We can say that;

Hypothesis is : If a polygon is regular

Conclusion is : then it has congruent angles and congruent sides.

A conditional statement will not be true when the hypothesis is true but the conclusion is false. In  the given statement, the above conditional statement has a truth value of true.

We can write the converse statement as : If it has congruent angles and congruent sides, then the polygon is regular.  

This also has a truth value of true.

So, correct options are :

Conditional  and converse

Answer:

No

Step-by-step explanation:

600 is greater than 500 it would be 1.2 greater

Hope this helps!!

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The length of the third side of the triangle Misty is building should be more than 3 feet and less than 13 feet, according to the Triangle Inequality Theorem.

This question pertains to the numerical properties of a triangle, in which two side lengths of the triangle are provided, specifically eight feet and five feet. The length of the third side of the triangle is not set, but it has certain parameters due to the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the possible lengths of the third side would be greater than the absolute difference of the two given sides (eight feet and five feet), and less than the sum of the lengths of the two given sides. Thus, the third side's length should be more than 3 feet (8 - 5) and less than 13 feet (8 + 5).

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Answer:

cosθ =  [tex]\frac{3}{5}[/tex] .

Step-by-step explanation:

Given : If sinθ =4/5 .

To find :  cosθ = _____.

Solution : We have given that sinθ =4/5 .

By the trigonometric identity

cos²θ + sin²θ = 1.

Plugging the value of sinθ =4/5 .

cos²θ + [tex](\frac{4}{5}) ^{2}[/tex] = 1.

cos²θ + [tex]\frac{16}{25}[/tex] = 1.

On subtracting  [tex]\frac{16}{25}[/tex]  from both sides

cos²θ = 1 -  [tex]\frac{16}{25}[/tex] .

cos²θ =  [tex]\frac{25 -16}{25}[/tex] .

Taking square root both sides.

[tex]\sqrt{cos^{2}theta}  = \sqrt{\frac{9}{25}}[/tex] .

cosθ =  [tex]\frac{3}{5}[/tex] .

Therefore, cosθ =  [tex]\frac{3}{5}[/tex] .

Final answer:

After three days, starting with 9-2x widgets, producing 2x+1 widgets daily, and destroying 3-x widgets daily, the student is left with 3 + 7x widgets, in terms of x.

Explanation:

Let's find out how many widgets are left after three days, starting with 9-2x widgets, producing 2x+1 widgets daily, and destroying 3-x widgets daily.

To calculate the total number of widgets after one day, we add the produced widgets (2x+1) and subtract the destroyed widgets (3-x) from the initial amount (9-2x):

At end of day 1: (9-2x) + (2x+1) - (3-x) = 9 - 2x + 2x + 1 - 3 + x = 7 + x

Repeat this process for two more days:

At end of day 2: (7+x) + (2x+1) - (3-x) = 7 + x + 2x + 1 - 3 + x = 5 + 4x

At end of day 3: (5+4x) + (2x+1) - (3-x) = 5 + 4x + 2x + 1 - 3 + x = 3 + 7x

Therefore, after three days, you are left with 3 + 7x widgets, in terms of x.

The student initially has 9-2x widgets, and each day there's a net change of 3x-2 widgets. After three days, the student is left with 7x+3 widgets.

The student starts with 9-2x widgets. Each day, they produce 2x+1 widgets and destroy 3-x widgets. To find out how many widgets the student is left with after three days, we need to account for the daily production and the daily destruction of widgets and sum them up over the three days.

Let's calculate the daily net change in widgets. The number of widgets produced each day is 2x+1, and the number destroyed is 3-x, so the net change in widgets each day is:

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

Now, let's multiply this daily net change by three days:

3 days × (3x - 2) = 9x - 6

Finally, let's add this to the initial number of widgets to find the total:

(9-2x) + (9x - 6) = 9 - 2x + 9x - 6 = 7x + 3

Therefore, after three days, the student is left with 7x + 3 widgets in terms of x.

Answer:

b) ∠4 and ∠3

c) ∠4 and ∠5

e) ∠3 and ∠6

Step-by-step explanation:

Supplementary angles: If the two angles are supplementary, then the angles add upto 180 degrees.

We need to find which pairs add upto 180 degrees.

From the given figure, ∠4 + ∠3 = 180°

ii) ∠5 + ∠6 = 180°

iii) ∠4 + ∠5 = 180°

iv) ∠3 + ∠6 = 180°

v) ∠7 + ∠8 = 180°

So, the following pairs are supplementary.

b) ∠4 and ∠3

c) ∠4 and ∠5

e) ∠3 and ∠6