3. This chart shows the mean age and standard deviation for students in three dance classes. Use these
data to answer the questions.
Mean (years)
Class
Morning
Noon
Evening
a) Which class has the highest average age? Morning / Noon / Evening
Standard deviation
(years)
2.4
1.2
0.8
8.9
15
22
hapecourse.apesicaming.com/public/pop 1005001/1294332
b) Which class has ages that are the most spread out? Morning / Noon / Evening
c) If the noon class has a symmetric distribution, what is the median?.


Can you please show your work

Ezra has to throw a beanbag 17 feet far to reach Allie

According to the question,

The distance between Allie and Ezra's flagpoles is 15 feet

length of Allie's flagpole = 35 feet

length of Ezra's flagpole = 27 feet

Difference between Allie and Ezra's flagpole = (35 - 27) feet

= 8 feet

Now, there forms a right angled triangle, where hypotenuse is the distance that Ezra's bean bad has to cover.

Using Pythagoras theorem,

\(H^{2} = B^{2} + A^{2}\)

where H = hypotenuse,

B= Base of the triangle

A = Altitude of the triangle

we are given,

B = 15 feet,

A = 8 feet

On substituting the values,

\(H^{2} = 15^{2} + 8^{2}\)

\(H^{2} = 225 + 64\\H^{2} = 289\\H = \sqrt{289} \\H = 17\\\)

So hypotenuse = 17 feet

Ezra has to throw the beanbag 17 feet far in order to reach it to Allie.

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Danika walks 50 blocks in one week.

Multiplication is a mathematical operation that embodies the fundamental concept of repeated addition of the same integer. The multiplied numbers are known as the factors, and the outcome of the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to make repetitive adding of the same number easier. It is used for combining groups of identical size.

As per the data given,

We have,

Danika lives at 5 blocks from her school.

As Danika walks 5 blocks to and from school, making her round trip

So, total distance covered by Danika will be: 5 blocks + 5 blocks = 10 blocks.

As Danika walks to and from school 5 days a week,

Hence, she walks 10 blocks * 5 days = 50 blocks in one week.

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The two-digit number in which the tens digit of the number is one more than the units digit is 54.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Let the unit digit be x. The tens digit of a two-digit number is one more than the units digit. Thus the unit digit is,

\(\rm \;tens\; digit=x+1\)

Then the number is,

\(10(x+1)+x\\11x+10\)

The reverse of this number is,

\(10x+x+1\\11x+1\)

The difference between this number and the reverse number is 1/5 of the reverse number. Thus,

\(11x+10-(11x+1)=\dfrac{1}{5}(11x+1)\\9=\dfrac{1}{5}(11x+1)\\45=11x+1\\x=\dfrac{44}{11}\\x=4\)

The unit digit is 4. Thus the tens digit is,

\((x+1)=4+1\\(x+1)=5\)

Hence, the two-digit number in which the tens digit of the number is one more than the units digit is 54.

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Answer:

54

Step-by-step explanation:

Answer:

Have a Nice Best Day : ) i'm sorry there where no Answer

Answer:

The answer is option d.

Hope this helps you.

Answer:

D

3,9,27,81,243,729

Step-by-step explanation:

Answer:

X is an acute angle, which means it is less than 90*, so it is probably 45*

Step-by-step explanation:

I was confused at first but then, I’m just like, I can solve this!

Answer:

120°.

Step-by-step explanation:

If extend the line by the 50° and 90°, you form a triangle. They're alternate interior angles so the angle outside of the triangle at the left of the bottomost line is congruent to 150°. You then can subtract that from 180° to get the angle inside the triangle that's next to it, which gives you 30°. The 90° is also on the same like as one of the angles inside of the triangle, meaning together the two should equal 180°, making the angle inside the triangle 90° also. You then have 2 of the triangle's angles and can subtract the sum of them from 180° to get the 3rd angle of it (60°). That 3rd angle is on the same line to x, so 180°-60° should give you x, making x 120°, I think.

Answer:

3/2

Step-by-step explanation:

The number is (x/2)+15=5+3x if Half of Number augmented by 15 equals the sum of 5 and the product of 3 and the number.

A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Decimal Number System is one of the four popular forms of number systems and other 3 are -

System of binary numbers.

System of Octal Numbers.

System of Hexadecimal Numbers.

From the given question,

X is the number. first we have to halve it , then we add 15.

Next ,set it equal to the other side . the second side is 5+ ( because it is the sum)

3x( the product of 3 and x means multiply them)

Hence the number is (x/2)+15=5+3x

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Using it's concept, the domain of function m is given as follows:

-∞ < x < ∞.

The domain of a function is the set that contains all the values of the input. In a graph, it is the set that contains all values of x of function.

In this problem, the function is defined for all real values of x, as it keeps increasing to left and right, hence the domain of function m is given as follows:

-∞ < x < ∞.

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Answer:

sinθ = \(\frac{24}{25}\)

Step-by-step explanation:

By applying Pythagoras theorem in the given triangle,

Hypotenuse² = (Leg 1)² + (Leg 2)²

                      = (24)² + 7²

Hypotenuse = √625 = 25

By applying sine rule in the given triangle,

sinθ = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

Since, measure of opposite side = 24

Measure of hypotenuse = 25

Therefore, sinθ = \(\frac{24}{25}\) will be the answer.

Answer:

x=-10

Step-by-step explanation:

2x²-7x=0+30

2x²-7x=30

4x-7x=30

-3x=30

x=-10

Answer:

Step-by-step explanation:

(2x + 5)(x - 6) = 0

2x + 5 = 0

x = -5/2

x - 6 = 0

x = 6

Answer:

Step-by-step explanation:

1,3        2,6        4,8

I hope it helps, thank you!

If you save $2,015.82 every year at an interest rate of 8%, you can retire in 30 years and live another 25 years while still having enough money to spend $80,000 per year.

To calculate the amount you need to save per year for the next 30 years, we can use the future value of an ordinary annuity formula.

The future value of an ordinary annuity formula is:

\(FV = P \cdot \left(\frac{(1 + r)^n - 1}{r}\right)\)

Where:

FV = Future value of the annuity

P = Payment amount per period

r = Interest rate per period

n = Number of periods

In this case:

P = Amount you need to save per year

r = 8% = 0.08 (annual interest rate)

n = 30 (number of years)

We want the future value (FV) to be equal to the amount needed to spend per year during retirement, which is $80,000.

Using the formula, we can calculate the amount you need to save per year:

\(\$80,000 = P \cdot \left[\left(1 + 0.08\right)^{30} - 1\right] / 0.08\$\)

Simplifying the equation:

\($80000 = P \cdot [1.08^{30} - 1] / 0.08$\)

$80,000 * 0.08 = P * [1.08³⁰ - 1]

$6,400 = P * [1.08³⁰ - 1]

Dividing both sides by [1.08³⁰ - 1]:

\($P = \dfrac{\$6400}{1.08^{30} - 1}$\)

Calculating [1.08³⁰ - 1]:

[1.08³⁰ - 1] ≈ 3.172024

Dividing $6,400 by 3.172024:

P ≈ \($\frac{6,400}{3.172024} \approx$ $2,015.82\) (rounded to the nearest cent)

Therefore, you need to save approximately $2,015.82 per year into your investment account at the end of each year for the next 30 years.

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Lois is a very dedicated and hardworking individual. Every Friday, she takes the initiative to order pizza for her colleagues at work, showing that she is considerate of their needs and wants.

On top of that, she is responsible for designing advertising campaigns for the following week, which requires a lot of creativity and attention to detail. Lois is also actively involved in the event organizing committee and is currently planning the outfits for the upcoming Christmas party, which is a crucial task.

Despite her busy schedule, Lois always ensures that she remains polite and approachable to her colleagues, demonstrating her excellent interpersonal skills. Overall, Lois is an essential member of the team who goes above and beyond to ensure that everything runs smoothly.

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The value of b = -3/2 and c = -5/4

To write the quadratic x² - 3x + 1 in the form (x + b)² + c, we can expand (x + b)² and compare it to the given expression:

(x + b)² = x² + 2bx + b²

Comparing this to the given expression x² - 3x + 1, we see that we need:

2bx = -3x, so b = -3/2

b² + c = 1, so substituting b = -3/2 gives:

(9/4) + c = 1

so c = 1 - 9/4

= 4/4 - 9/4

= -5/4

The quadratic x² - 3x + 1 can be written in the form (x - 3/2)² + ( - 5/4).

Therefore, the value of b = -3/2 and c = -5/4

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Given question is incomplete, the complete question is below

the quadratic x²-3x + 1 can be written in the form (x +b)² + c, where b and c are constants. what is b, c?

check images :) and yeah i agree i hate when people just put random letters to get points

Answer:

3.14 or pi

Step-by-step explanation:

the area of a circle = \(pi * r^{2}\) where r is the radius of the circle

this is 1/4 of the circle, so it would be 1/4 (pi * r²)

it shows that the radius is 2, so you have

1/4 ( pi * 2²)

= 1/4 ( pi * 4 )

= 1/4 (3.14 * 4)

= 3.14 units²

Answer:

I can't help sorry which grade ??

Answer:

2500

Step-by-step explanation:

Answer:

Where its the graph??????

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:

\(\sqrt{16}\sqrt{11}\)

Step-by-step explanation:

\(\sqrt{176}\implies \sqrt{16\cdot 11}\implies \sqrt{4^2\cdot 11}\implies 4\sqrt{11}\)

Answer:

A - 25%

B - 100%

C - 75%

Step-by-step explanation:

I'm pretty sure. Hope this helps. If the shape is divided into 4 equal parts, each one would be worth 25%.

Answer:

the third one

Step-by-step explanation:

Answer:

ft25x25ft footjob is great

Step-by-step explanation:

tags:asuna zero two

That area is the square is 25 x 25 = 625

The circle touches the square so the diameter of the circle is 25.

Area of the circle = pi x r ^2 where r is half the diameter.

Area of circle = 3.14 x 12.5^2 = 490.625

The area of the shaded region is the area of the square - area of the circle:

625 - 490.625 = 134.375 square feet.

Answer:

This is not a function.

Step-by-step explanation:

A function by definition will map one element of the domain to one element of the range.  In this example, we would need one element of A to match one element of B for all elements of A.

Note, there are two elements in set A that map to one element in set B, while one element in set B has no mapping from any element in set A.

Cheers.

Answer:

the answer is X.

Step-by-step explanation:

the line is located where it hits the most points on the graph.

Answer:

Pretty sure it is option 4

It´s that or option 3

Step-by-step explanation:

The solution of the given problem of unitary comes out to be the difference grows in the same proportion that we grow the minute.

The data collected from this nanosection must be multiplied by two in order to complete the task using the unitary technique. In essence, the color portions of both the unit method are either skipped or the indicated entity is set when a wanted item shows. For forty pens, a variable charge of Inr ($1.01) could have been required. It's possible that one country will have total influence over the approach taken to accomplish this.

Here,

The difference in a sustraction is equal to the remainder of the minute less the sustrancing.

The remainder between the new minuendo and the sustraendo will be greater than the previous remainder if the minuendo increases by just 10 units.

For instance, the difference is 15 if the remainder is

=> 25 – 10.

If we only increase the minimum by 10 units,

we will have

=>35 – 10 and the new difference will be 25.

In other words, the difference grows in the same proportion that we grow the minute.

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Complete question:

If in a subtraction, the minuend increases by 10 units, how much does the difference increase?

A ratio displays the multiplicity of two numbers, the total number of employees is 187.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared.

Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were going to compare one data point (A) to another data point (B). This indicates that you are multiplying data A by data B.

So the ratios are-

men : women

4:7

x:119

Now, relationship between 7and 119 is -

men : women

4:7

7*17

x:119

Now,

men : women

4:7

4*17 :7*17

68:119

Total number

68+119= 187

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