ok so i have 2 questions in math but whoever is savage enough to do them i will award brainliest so ya. PLZ DO THEM BOTH!

Answer:

C

Step-by-step explanation:

The required interval of the given normal distribution using the empirical rule is [100, 140].

The empirical rule formula (also known as a 68 95 99 rule formula) uses data from a normal distribution to determine the first, second, and third standard deviations, which, respectively, differ from the mean value by 68%, 95%, and 99%. Additionally, it shows that 99.9% of the data fall inside the third standard deviation range (either above or below the mean value). The empirical rule formula is described below with cases that have been resolved.

In the question, we are given that IQ scores for adults aged 20 to 34 years are normally distributed according to N(120, 20), and are asked for the range in which the middle 68% of people in this group score on the test.

N(120, 20) signifies a normal distribution with mean, μ = 120, and the standard deviation, σ = 20.

By the empirical formula, 68% of the data lies within one standard deviation from the mean.

Thus, the required interval is [μ - σ, μ + σ] = [120 - 20, 120 + 20] = [100, 140].

Learn more about the empirical rule at

brainly.com/question/10093236

#SPJ4

Using the given digits only once , the four 2 digit prime numbers are 23 , 41 , 59 , 67  and the the sum of the 4 prime numbers is 190 .

Prime Numbers can be defined as numbers that is greater than 1 and whose only factors are 1 and itself .

For Example : 2 is prime number , 11 is a prime number .

In the question ,

9 digits are given as 1, 2, 3, 4, 5, 6, 7, and 9  

we have to form 4 two - digit prime numbers , using each digit only once ,

So , the prime numbers using the given digits using the digits only once is

(i) 23

(ii) 41

(iii) 59

(iv) 67

and the sum of the 4 prime numbers is = 23 + 41 + 59 + 67

= 190

Therefore , the 4 prime numbers are 23 , 41 , 59 , 67 and their sum is 190 .

Learn more about Prime Numbers here

https://brainly.com/question/6788053

#SPJ4

Answer:

5 blocks

Step-by-step explanation:

The following is the proof by contrapositive of the statement: The average of three real numbers is greater than or equal to at least one of the numbers. Hence, the assumption that the average of three real numbers is less than all of the numbers is false.

The following is the proof by contrapositive of the statement: The average of three real numbers is greater than or equal to at least one of the numbers. Hence, the assumption that the average of three real numbers is less than all of the numbers is false.

Let y and z be real numbers. We assume that (y + z)/2 < y and (y + z)/2 < z. Adding the two inequalities yields y + z < 2y + 2z, which simplifies to y + z < y + z + 2(y + z)/2.

This contradicts the fact that y + z = 2(y + z)/2. Therefore, the assumption that the average of three real numbers is less than all of the numbers is false.

Let x, y, and z be three real numbers. We assume that (x + y + z)/3 < x, (x + y + z)/3 < y, and (x + y + z)/3 < z.

Adding up the three inequalities yields x + y + z < 3x + 3y + 3z, which simplifies to (x + y + z)/3 < (x + y + z)/3 + 2(x + y + z)/3. This contradicts the fact that (x + y + z)/3 = (x + y + z)/3.

Hence, the assumption that the average of three real numbers is greater than all of the numbers is false. Therefore, the proof by contrapositive of the statement (in order) is: Let x, y, and z be three real numbers.

We assume that (x + y + z)/3 < x, (x + y + z)/3 < y, and (x + y + z)/3 < z.

Adding up the three inequalities yields x + y + z < 3x + 3y + 3z, which simplifies to (x + y + z)/3 < (x + y + z)/3 + 2(x + y + z)/3.

This contradicts the fact that (x + y + z)/3 = (x + y + z)/3.

Hence, the assumption that the average of three real numbers is greater than all of the numbers is false. Let y and z be real numbers. We assume that (y + z)/2 < y and (y + z)/2 < z. Adding the two inequalities yields y + z < 2y + 2z, which simplifies to y + z < y + z + 2(y + z)/2. This contradicts the fact that y + z = 2(y + z)/2. Therefore, the assumption that the average of three real numbers is less than all of the numbers is false.

To know more about real numbers visit:

https://brainly.com/question/31715634

#SPJ11

Answer:

8 hours

Step-by-step explanation:

15/3 = 5

12/3 = 4

5 x 2 = 10

4 x 2 = 8

Answer:

1. 15.708

2. The radius would be half of the distance across the drain, or half of the diameter. Half of 3.8cm, or 3.8cm / 2 is 1.9cm.

The circumference is the distance around the drain, or if you trace the entire circle. The formula to find the circumference of a circle is 2 multiplied by pi and the radius of the circle, or C = 2(pi)r. Here, we just found the radius, so the circumference is 2 * pi (which is approximately 3.14) * 1.9cm, or approximately 11.9cm!

Step-by-step explanation:

Answer: $1000

Step-by-step explanation:

If the ratio is 5:3 and the smaller is 600, then 600/3*5 = x is how you would solve.

Therefore, your answer is 1000

Answer:

120

Step-by-step explanation:

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ2

Answer:

60.10

Step-by-step explanation:

3 x 4 = 12

12 / 110 = 0.109

0.109 + 60 = 60.109

Answer:

Step-by-step explanation:

X = shirts

Y = trousers

3x + 2y = 155

Now

y + 10 = x

Make y + 10 = x equal y

-10. -10

y = x - 10

Replace y with this equation in our other equation.

3x + 2(x - 10) = 155

Do the math:

This equals x = 35

Now put x = 35 in the other equation

Y + 10 = 35

Do the math:

y = 25

$35 per shirt

$25 per trousers

Now for the bar model, the total is 155

Make a fraction of 35/155

Make a long bar. Split it into 5 parts.

Label three parts 35 and two 25

Make the 35 parts slightly bigger.

It should look like this

Answer:

y=-3

-3=-1.5x

you substitiue y value, then you divide both sides by -1.5 and you get 2 for x.

(2,-3)

y=4.5

4.5=-1.5x

you substitute y value, then again you divide both sides by -1.5 and you get 3.

(3,4.5)

y=6

6=-1.5x

same thing for this last one. then once again divide by -1.5 and you get -4.

(-4,6)

Step-by-step explanation:

Answer:

proportional

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

Answer:

The average rate of change over the interval is 120

Step-by-step explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

f(b)-f(a)/b-a

in this case, a is 2 and b is 4

f(b) is 256 and f(a) is 16

Substituting these values in the equation for rate of change, we have;

(256-16)/(4-2) = 240/2 = 120

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

Answer:

The value of the 2 is two-thousand

Step-by-step explanation:

Answer:

thousands

Step-by-step explanation:

thousands, hundreds tens ones

2                    4              7      3

There are 4845 different ways to select 16 questions out of a total of 20 questions on the exam.

To determine the number of different ways you can select 16 questions out of a total of 20 questions, we can use the concept of combinations.

In this case, we want to select 16 questions from a set of 20 questions, and the order in which we select them doesn't matter. This scenario can be represented by the combination formula.

The formula for combinations is given by:

C(n, k) = n! / (k!(n-k)!)

Where:

n is the total number of items in the set (20 questions)

k is the number of items to be selected (16 questions)

! denotes the factorial operation

Using the combination formula, we can calculate the number of different ways to select the questions:

C(20, 16) = 20! / (16!(20-16)!)

= 20! / (16!4!)

= (20 * 19 * 18 * 17) / (4 * 3 * 2 * 1)

= 4845

Know more about combinations here:

https://brainly.com/question/31586670

#SPJ11

The distance of 500 feet on the map with the given scale would be 7.5 inches.

To find out how long the distance of 500 feet would be on the map with a scale of 3 inches to 200 feet, you can set up a proportion.

The scale is 3 inches to 200 feet, so the proportion would be:

(Length on map) / 3 inches = 500 feet / 200 feet

Simplify the right side of the proportion:

(Length on map) / 3 inches = 2.5

Now, solve for the length on the map:

Length on map = 3 inches * 2.5

Length on map = 7.5 inches

So, the distance of 500 feet on the map with the given scale would be 7.5 inches.

Learn more about scale of map

https://brainly.com/question/105644

#SPJ3

Answer:

I'd love to help, but I need the full question first!!!

The angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\),\) which is approximately 1.107 radians or 63.43 degrees.

To determine the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\),\) we can follow these steps:

1. Express \(\(z_0\)\) in polar form: To find the polar form of \(\(z_0\)\), we need to calculate its magnitude \((\(r_0\))\) and argument \((\(\theta_0\))\). The magnitude can be obtained using the formula \(\(r_0 = |z_0| = \sqrt{\text{Re}(z_0)^2 + \text{Im}(z_0)^2}\)\):

\(\[r_0 = |2i + 1| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}\]\)

  The argument \(\(\theta_0\)\) can be found using the formula \(\(\theta_0 = \text{arg}(z_0) = \arctan\left(\frac{\text{Im}(z_0)}{\text{Re}(z_0)}\right)\)\):

\(\[\theta_0 = \text{arg}(2i + 1) = \arctan\left(\frac{2}{1}\right) = \arctan(2)\]\)

2. Find the polar form of \(\(w\)\): The polar form of \(w\) can be expressed as \(\(w = |w|e^{i\theta}\)\), where \(\(|w|\)\) is the magnitude of \(\(|w|\)\) and \(\(\theta\)\) is its argument. Since \((w = z^2\)\), we can substitute z with \(\(z_0\)\) and calculate the polar form of \(\(w_0\)\)using the values we obtained earlier for \(\(z_0\)\):

 \(\[w_0 = |z_0|^2e^{2i\theta_0} = \sqrt{5}^2e^{2i\arctan(2)} = 5e^{2i\arctan(2)}\]\)

3. Determine the argument of \(\(w_0\):\) To find the argument \(\(\theta_w\)\) of \(\(w_0\)\), we can simply multiply the exponent of \(e\) by 2:

  \(\[\theta_w = 2\theta_0 = 2\arctan(2)\]\)= 1.107 radians

Therefore, the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\).\)

Learn more about exponent here: https://brainly.com/question/29277932

#SPJ11

The complete question is:

"Determine the angle of rotation, in radians and degrees, at the point z0 = 2i + 1 when w = z^2."

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

To know more about Net present value   visit

https://brainly.com/question/32720837

#SPJ11

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

Learn more on total cost on https://brainly.com/question/29802410

#SPJ1

The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

We have,

Increasing the minimum wage to $8.00 per hour can have some impact on the demand for clothes.

Here are a few potential effects to consider:

Increased purchasing power:

When the minimum wage is increased, low-wage workers have more disposable income. This extra income can lead to increased consumer spending, including on clothing.

As a result, there could be a boost in the demand for clothes as more people can afford to purchase new clothing items.

A shift in consumer preferences:

With a higher minimum wage, individuals who previously had limited resources may now have the ability to choose higher-quality clothing or purchase from more expensive brands.

This shift in consumer preferences could lead to changes in the demand for different types of clothes and potentially result in an increase in demand for higher-end or premium clothing.

Price sensitivity:

While an increase in the minimum wage may provide workers with more spending power, some individuals may still be price-sensitive and prefer more affordable clothing options.

As a result, there may be continued demand for lower-priced clothing items or a preference for sales and discounts.

Employment and production costs:

An increase in the minimum wage could potentially lead to higher labor costs for clothing manufacturers and retailers.

To mitigate these increased costs, businesses may take steps such as adjusting their pricing strategies, implementing cost-saving measures, or exploring more efficient production methods.

These factors could impact the overall supply of clothes and potentially influence prices.

Thus,

The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

Learn more about demand and wages here:

https://brainly.com/question/29801103

#SPJ12

Answer:

Options: 1, 4 & 6

Step-by-step explanation:

Yes:

1. \(-1(x-1)^{2} +9=-1(x^{2} -2x+1)+9=-x^{2} +2x-1+9=-x^{2} +2x+8\)

4. \(-x^{2} +2x+8\)

6. \((x+2)(4-x)=2x-x^{2} +8=-x^{2} +2x+8\)

No:

2. \(-(x-9)^{2} +1=-(x^{2} -18x+81)+1=-x^{2} +18x+81+1=-x^{2} +18x+82\)

3. \(x^{2} +2x-8\)

5. \((x+2)(x-4)=x^{2} -2x-8\)

Hope this helps

Side of first diagram is 6.6  and Perimeter  of first diagram is 23.6.

What is perimeter?

Any two-dimensional figure's perimeter is determined by the space surrounding it. By summing the lengths of the sides, we can determine the perimeter of any closed shape.

15. to find sides of triangle using pythagoras theorem.

\((hypo)^2=(side)^2+(side)^2\)

As, the triangle is right angles triangle so we can use pythagoras theorem,

10/2=5

Putting values,

\((12)^2=(10)^2+(side)^2\)

\(144 = 100+(side)^2\\144-100=(side)^2\\side=\sqrt{44}\)

side=6.6

Perimeter of triangle P= sum of all sides

                                     =6.6+12+5

                                     =23.6

Perimeter is 23.6

Learn more about Perimeter here:

https://brainly.com/question/6465134

#SPJ1

Answer:

The y-intercept is -15

Answer:

Radius of the Inner circle:

5.4 is the diameter so find the radius, divide by 2 = 2.7

Next, take pi (3.14) and multiply with the radius (2.7), and use a power of 2.

3.14(2.7)^2 = 22.8906. Then round to the nearest tenth: 23.

Radius of Outer circle:

2.2 is the diameter so find the radius, divide by 2 = 1.1

Next, take pi (3.14) and multiply with the radius (1.1), and use a power of 2.

3.14(1.1)^2 = 3.7994. Then round to the nearest tenth: 4.

Radius of the Inner circle: 23

Radius of Outer circle: 4

Please let me know if it was correct!

a) When Lily's age is 20, and Raphael's age is divided by 3 then the expression of Lily's age in terms of h is h < 10.

b) Ethan's age is half of Raphael's age therefore, Ethan's age is half Raphael's age.

a) If Raphael is twice as old as his sister Lily, we can represent their ages as 2h and h, respectively, where h is Lily's age. The sum of their ages is less than 30, so we can write the equation:

2h + h < 30

Combining like terms, we get:

3h < 30

Dividing both sides by 3, we get:

h < 10

This is an expression of Lily's age in terms of h.

b) If Ethan's age is 16, and Raphael's age is twice Ethan's age, we can represent Raphael's age as 2 × 16 = 32.

Ethan's age is 16, which is half of Raphael's age of 32. Therefore, Ethan's age is half of Raphael's age.

Learn more about the age at

https://brainly.com/question/11284412?referrer=searchResults

#SPJ4

The question is -

Raphael is twice as old as his sister. The sum of their ages is less than 30.

a) Lily's age is 20, and Raphael's age is divided by 3. Write an expression in terms of h for Lily's age.

b) An expression for Ethan's age 16. Write a sentence to describe how Ethan's age compares with Raphael's age.