What are the 3 names of triangles?

The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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f(x) is discontinuous.

Since LHS ≠ RHS ≠ f(x).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

here, we have,

We have,

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

Now,

A x = 1

LHS of f(x) = lim f((h - 1)) =  (h - 1 - 1) = 0 -2 = -2

RHS of f(x) = lim  f(h + 1) =  (2(h + 1) - 1) = 2h + 2 - 1 = 0 + 1

f(1) = x + 1 = 1 + 1 = 2

We see that,

LHS ≠ RHS ≠ f(x)

So,

f(x) is not continuous, it is discontinuous.

Thus,

f(x) is discontinuous.

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The complete question.

Show that the following functions are continuous or discontinuous at x = 1.

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

Answer:

26 child tickets

Step-by-step explanation:

Let's assume the number of child tickets sold is "x".

According to the given information, the number of adult tickets sold is twice the number of child tickets sold, so the number of adult tickets sold would be "2x".

The total sales from child tickets can be calculated by multiplying the number of child tickets by the child admission price:

Total sales from child tickets = $6.30 * x

Similarly, the total sales from adult tickets can be calculated by multiplying the number of adult tickets by the adult admission price:

Total sales from adult tickets = $9.80 * (2x)

The total sales from both child and adult tickets is given as $673.40:

Total sales from child tickets + Total sales from adult tickets = $673.40

Substituting the expressions for the total sales:

$6.30 * x + $9.80 * (2x) = $673.40

Simplifying the equation:

6.30x + 9.80(2x) = 673.40

6.30x + 19.60x = 673.40

25.90x = 673.40

Dividing both sides by 25.90:

x = 26

Therefore, 26 child tickets were sold on Monday.

Answer:We can solve this problem by using algebra. Let × be the number of child tickets sold and y be the number of adult tickets sold. We know that y = 2x (twice as many adult tickets as child tickets were sold) and that the total amount of money made from ticket sales was $278.20.

So we can write the equation 6.3x + 9.8y =

278.2 and substitute y = 2x into it to get 6.3x +

9.8(2x) = 278.2.

Simplifying this expression gives us 6.3x + 19.6x = 278.2.

Combining like terms gives us 25.9x = 278.2.

Solving for x gives us x = 10.74.

Since we can't sell a fraction of a ticket, we round up to 11 child tickets.

We know that y = 2x, so y = 2(11) = 22.

So 11 child tickets and 22 adult tickets were sold.

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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Answer:

4 lawns

Step-by-step explanation:

20/5

Answer:

9\(\frac{8^{12}}{8^3}=8^n\quad :\quad n=9\)

Step-by-step explanation:

Answer:

you have to subtract the absolute values.

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

124/4 = 31 pages per one fourth of the book

If your brother reads one fourth of the book then he reads 31 pages.

31

Step-by-step explanation:

divide 1/4 by 24 and 31 should be the answer

According to the image each table has an amount of 8 seats, and there are

a. To create an exponential model for new cases in terms of days, we can use the formula: y = a * b ^ x, where y is the number of new cases, x is the number of days since the first observation, and a and b are constants that we need to determine. Using the two data points given, we can set up a system of equations:

235 = a * b ^ 0

395 = a * b ^ 10

Solving for a and b, we get:

a = 235

b = (395/235)^(1/10) = 1.067

Therefore, the exponential model for new cases in Milwaukee is:

y = 235 * 1.067 ^ x

b. To find the number of new cases on Oct. 31, 2020, we need to plug in x = 19 (since Oct. 31 is 19 days after Oct. 12) into the model:

y = 235 * 1.067 ^ 19 = 1018.5

Therefore, based on the exponential model, we would expect around 1019 new cases on Oct. 31, 2020.

c. The actual number of new cases on Oct. 31, 2020, was 1043. This is higher than the predicted value of 1019, but not by a huge margin. Overall, the model seems to fit the data reasonably well, especially considering that there are many factors that can affect the number of new cases in a given area, and that the model is based on only two data points. However, it is worth noting that the exponential model assumes that the growth rate of new cases remains constant over time, which may not be a realistic assumption in the long run.

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

The in this case, the distance covered by the car would be 120 miles. The equation Distance = Speed * Time allows us to determine the distance covered by an object when the speed and time taken are known.

To determine distance, we can rearrange the formula for speed:

Speed = Distance / Time. By multiplying both sides of the equation by Time, we can isolate Distance.

Distance = Speed * Time

The formula indicates that distance is equal to the product of speed and time. By multiplying the rate at which an object moves (speed) by the duration of travel (time), we can determine the total distance covered during that period.

The equation Distance = Speed * Time represents the relationship between distance, speed, and time.

It states that the distance covered is equal to the product of the speed at which an object is moving and the time it takes to travel that distance.

For example, if a car is traveling at a constant speed of 60 miles per hour for 2 hours, the distance it would cover can be calculated as follows:

Distance = 60 miles/hour * 2 hours = 120 miles.

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Answer:

I think it's 27

because length is 3 times its width

Step-by-step explanation:

step 1. This is a 30-60-90 triangle where the side opposite the 30° is the smallest and represented as x, the side opposite the 60 ° is the middle length at x(sqrt(3)) and the side opposite the 90° is the longest side at 2x. note: sqrt is the square root.

step 2. The ladder is 6m and is the 2x side.

step 3. The wall is across from the 60° side and is the x side.

step 4. if the 2x side is 6m then the x side is 3m.

step 5. The ladder is 3m up the side of the house.

Answer:

2/5 are girls so 40

Step-by-step explanation:

100 divided by 5 is 20.

BOYS: 20 x 3= 60

GIRLS: 20 x 2= 40

60+40=100

Hope this helps (:

Answer:

18n+9 i think

Step-by-step explanation:

ANSWER

OPTION A

STEP-BY-STEP EXPLANATION:

The inequality given is written below

----------- > 8

Let the unknown number be x

Since x is greater than 8, then x must be any number greater than 8

Recall that, the absolute value of a real number is x, denoted |x|, which is the non-negative value of x without regard to its sign.

According to the option

|1| = 1

|-9| = 9

|10| = 10

|-13| = 13

Hence, 9, 10, and 11 are greater than 8

The only number, when placed in the blank that will make the inequality false, is 1 because it is less than 8

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

The curved surface area of the cylinder is 48.06 cm².

The circumference of a cylinder is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the base.

In this case, the given circumference is 6 cm.

So, 6 = 2πr

r = 6 / (2π)

r ≈ 0.955 cm

Now, the curved surface area (CSA) of the cylinder using the formula:

CSA = 2πrh

Given the height as 8 cm, we can substitute the values into the formula:

CSA = 2π(0.955 cm)(8 cm)

CSA ≈ 48.06 cm²

Therefore, the curved surface area of the cylinder is 48.06 cm².

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Answer:

\((1 + i)^{2n} = \frac{4}{(-1 \± \sqrt{5})^2}\)

Step-by-step explanation:

Using Present Value formula, we have that:

The present value at end of n period is

\(PV_1 = \frac{1}{(1 + i)^n}\)

The present value at end of 2n period is

\(PV_2 = \frac{1}{(1 + i)^{2n}}\)

\(Sum = PV_1 + PV_2\)

And

\(Sum = 1\)

So, we have:

\(PV_1 + PV_2 = 1\)

Substitute values for PV1 and PV2

\(\frac{1}{(1 + i)^n} + \frac{1}{(1 + i)^{2n}}= 1\)

Solving for:

\((1 + i)^{2n\)

\(\frac{1}{(1 + i)^n} + \frac{1}{(1 + i)^{2n}}= 1\)

This can be expressed as

\(\frac{1}{(1 + i)^n} + (\frac{1}{(1 + i)^{n}})^2= 1\)

Let

\(a = \frac{1}{(1 + i)^n}\)

So, we have:

\(a + a^2 = 1\)

Equate to 0

\(a + a^2 - 1= 0\)

\(a^2 + a - 1= 0\)

Using quadratic formula:

\(a = \frac{-B \± \sqrt{B^2 -4AC}}{2A}\)

Where A=1; B =1 and C = -1

\(a = \frac{-1 \± \sqrt{1^2 -4 * 1 * -1}}{2 * 1}\)

\(a = \frac{-1 \± \sqrt{1 +4}}{2 }\)

\(a = \frac{-1 \± \sqrt{5}}{2 }\)

Recall that:

\(a = \frac{1}{(1 + i)^n}\)

So, we have:

\(\frac{1}{(1 + i)^n} = \frac{-1 \± \sqrt{5}}{2 }\)

Invert both sides

\((1 + i)^n = \frac{2}{-1 \± \sqrt{5}}\)

Square both sides

\(((1 + i)^n)^2 = (\frac{2}{-1 \± \sqrt{5}})^2\)

\((1 + i)^{2n} = (\frac{2}{-1 \± \sqrt{5}})^2\)

\((1 + i)^{2n} = \frac{4}{(-1 \± \sqrt{5})^2}\)

Answer:D

Step-by-step explanation:i don’t know I’m guessing

The calculated period of the function is 12

From the question, we have the following parameters that can be used in our computation:

The graph

By definition, the period of the function is calculated as

Period = Difference between cycles or the length of one complete cycle

Using the above as a guide, we have the following:

Period = 13 - 1

Evaluate

Period = 12

Hence, the period of the function is 12

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Hello!

The answer is 4.6 pounds!

You better believe it! :D

Answer:

4.6 pounds of vegetables.

Step-by-step explanation:

2.7 + 19 = 4.6 pounds.

The intervals that satisfy the given trigonometric Inequality are; 0 ≤ x < 3π/2 and 3π/2 < x ≤ 2π

We are given the trigonometric Inequality;

2 sin(x) + 3 > sin²(x)

Rearranging gives us;

sin²(x) - 2 sin(x) - 3 < 0

Factorizing this gives us;

(sin(x) - 3)(sin(x) + 1) < 0

Thus;

sin(x) - 3 = 0 or sin(x) + 1 = 0

sin(x) = 3 or sin(x) = -1

sin(x) = 3 is not possible because sin(x) ≤ 1.

Thus, we will work with;

sin(x) = -1 for the interval 0 ≤ x ≤ 2π radians.

Then, x = sin⁻¹(-1)

x = 3π/2.

Now, if we split up the solution domain into two intervals, we have;

from 0 ≤ x < 3π/2, at x = 0. Then;

sin²(0) - 2 sin(0) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 0 ≤ x < 3π/2 is true.

From 3π/2 < x ≤ 2π, take x = 2π. Then;

sin²(2π) - 2 sin(2π) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 3π/2 < x ≤ 2π is also true.

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Step-by-step explanation:

Let X be the number of pounds of peanuts selling for 85 cents per pound and Y be the number of pounds of peanuts selling for 98 cents per pound.

We can set up the following system of equations to represent this situation:

X * 0.85 + Y * 0.98 = 0.90 * (X + Y)

X + Y = 40

The first equation represents the total cost of the blend, and the second equation represents the total number of pounds of peanuts.

To solve this system of equations, we can use a method such as graphing, substitution, or elimination.

Using the substitution method, we can solve for one variable in terms of the other and substitute it into the other equation. For example, we can solve the first equation for X:

X = (0.90 * (X + Y) - Y * 0.98) / 0.85

Then, we can substitute this expression for X into the second equation:

(0.90 * (X + Y) - Y * 0.98) / 0.85 + Y = 40

Solving this equation for Y gives us the number of pounds of peanuts selling for 98 cents per pound:

Y = (40 * 0.85 - 0.90 * X) / (0.10 - 0.98)

To find the value of X, we can substitute this expression for Y into the first equation and solve for X:

X * 0.85 + (40 * 0.85 - 0.90 * X) / (0.10 - 0.98) * 0.98 = 0.90 * (X + (40 * 0.85 - 0.90 * X) / (0.10 - 0.98))

Solving this equation for X gives us the number of pounds of peanuts selling for 85 cents per pound:

X = 18.75

Therefore, 18.75 pounds of peanuts selling for 85 cents per pound must be mixed with 40 pounds of peanuts selling for 98 cents per pound to produce a blend selling for 90 cents per pound.

Answer:

Just use long subtraction by expanding the decimal places of the whole number. This is done by adding a point, and enough zeros to it to match the number of decimal digits in the other number (digits after the decimal point).

12345678

i.e: 5 - 2.48374827, 2.48374827 has 8 decimal digits, so add 8 zeros after the point.

=

1 1 1 1 1 1 1

5.00000000

-

2.48374827

_______________

2.51625173

7 + 3 = 10, 7 + 2 + 1 = 10, 8 + 1 + 1= 10, 5 + 4 + 1 = 10, 2 + 7 + 1 = 10, 3 + 6 + 1 = 10, 1 + 8 + 1 = 10, 5 + 4 + 1 = 10, 2 + 2 + 1 = 5 : 5.00000000

This is basically borrowing a group of 10s which are the same as 1s in the next decimal place up.

For each digit except the first to the right, let 10 subtract that number from it and minus 1 since the 1 is carried over.

Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)