As of June 2017, 1 US dollar is equivalent to
about 133 Canadian dollars. If Tyler has
30.59 Canadian dollars, how many US dollars
can he exchange this amount for?

When the boat headed 21 miles north then 28 miles to the east then back to its starting point, it formed a right angle triangle. And that straight line the question is talking about is the hypotenuse.

Use the Pythagorean Theorem to solve for hypotenuse.

The Pythagorean Theorem states that for any right triangle the following is true: when you take the sum of both of the legs squared it will equal to the hypotenuse squared.

In equation form:  a^2+b^2=b^2

Where the variables a and b are the legs. And the variable c is the hypotenuse.

Plug in the values.

21^2 + 28^2 = c^2

441 + 784 = c^2

1225 = c^2

35 = c

So, the straight line is 35 miles long.

To work out the mean cost of a present in pounds (£), we need to divide the total cost of the presents (£80.52) by the number of presents (4).

The calculation will look like this:

£80.52 ÷ 4 = £20.13

Therefore, the mean cost of a present in pounds (£) is £20.13.

Answer:

Felipe dio un paso incorrecto de acuerdo con el sistema de valor posicional al sumar la suma de 1,000 a 39,200. La manera correcta en que Felipe debe abordar esto se muestra en la explicación a continuación.

Step-by-step explanation:

En el sistema de valor posicional; cada número representa una entidad particular; ya sea unidad, decenas, cientos, mil, diez mil etc. En la pregunta dada, el número 39200 indica que 9 está en el valor posicional de mil, es decir, 9000.

Entonces, si Felipe desea cambiar de 8 a 9, entonces necesita restar 9000-8000 = 1000

Sin embargo; si quiere cambiar 9 a cero; entonces restará 9000 de 9000; pero ya que 9 no funciona; Primero debe restar 8000 y luego restar 1000.

Answer:

Step-by-step explanation:

f/4-5=-9

f-4*5/4=-9

f-20/4=-9

f-20=-9*4

f-20=-36

f=-36+20

f=-16

Answer:

f/4 - 5 = -9

f-20/4=-9

f-20=-9×4

f-20=-36

f=-36+20

f=-16

Answer:

1. 150π sq.ft  2. 10π ft

Step-by-step explanation:

Equation: Area of a sector = \(\frac{x}{360}\) × π\(r^{2}\)

Where:

x = internal angle

r = radius of circle

Values from problem:

x = 60

r = 30

Plug values into equation:

Area of sector = \(\frac{60}{360}\) × π\(30^{2}\)

Simplify:

60 divided by 30 equals \(\frac{1}{6}\) and 30 squared equals 900 so...

\(\frac{1}{6}\) × 900π

900π divided by 6 equals 150π so...

\(\frac{900}{6}\) × π = 150π

150π sq. ft

Equation: Arc length = \(\frac{x}{360}\) × 2πr

Where:

x = internal angle

r = radius of circle

Values from Problem:

x = 60

r = 30

Plug values into equation:

Arc length = \(\frac{60}{360}\) × 2π30

Simplify:

60 divided by 360 equals \(\frac{1}{6}\), and 2π × 30 equals 60π so...

\(\frac{1}{6}\) × 60π

60π divided by 6 is 10π

\(\frac{60}{6}\)π = 10π

10π ft

In order to solve this, we can use trigonometric ratios. The cosine ratio is given by the following formula:

Where ca is the adjacent leg to angle θ and hy is the length of the hypotenuse. In this case, θ=50°, ca = 6 and hy = x.

By replacing these values into the above formula, we get:

From this equation, we can solve for x to get:

Then, x = 9.3

Answer:

see explanation

Step-by-step explanation:

Given

10 = 7 - m ( subtract 3 from both sides )

3 = - m ( multiply both sides by - 1 )

- 3 = m , or

m = - 3

As a check

Substitute m = - 3 into the right side of the equation and if equal to the left side then it is the solution

7 - m = 7 - (- 3) = 7 + 3 = 10 = left side

Thus m = - 3 is the solution to the equation

We can use the empirical rule to approximate the interval. According to the rule, approximately 68% of the data falls within 1 standard deviation of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations.

So, for a normal distribution with a mean of 2.5 and a standard deviation of 0.6, we can say that approximately 68% of the GPAs fall between 1.9 (2.5-0.6) and 3.1 (2.5+0.6), 95% fall between 1.3 (2.5-2(0.6)) and 3.7 (2.5+2(0.6)), and 99.7% fall between 0.7 (2.5-3(0.6)) and 4.3 (2.5+3(0.6)).

To find the interval that would contain approximately 81.5% of the GPAs, we need to find the range that covers the middle 81.5% of the data. We know that this range is going to be less than the 95% interval, but greater than the 68% interval. Therefore, we can say that the interval containing approximately 81.5% of the GPAs is between 1.3 and 3.1.

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Answer:

-1280

Step-by-step explanation:

10×(-2)= -20

-20×(-2)= 40

4th term: 40×(-2)= -80

5th term: -80×(-2)= 160

6th term: 160×(-2)= -320

7th term: -320×(-2)= 640

8th term: 640×(-2)= -1280

Answer:

Step-by-step explanation:

In right triangle sum of two angles is 90°

Angle y is exterior angle and equals non-adjacent interior angles

As the degrees of freedom (DF) increase, the t distribution approaches the normal distribution. Therefore, the correct answer option is: C. normal distribution.

The degrees of freedom (DF) in a sample are typically used to correct a possible bias that exists between the alternative and null hypotheses because they are the maximum number of logically independent numerical values (data points) in the final calculation of a statistical problem.

A normal distribution is sometimes referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.

In this context, we can reasonably infer and logically deduce that the t-distribution generally approaches the normal distribution as the degrees of freedom (DF) increase.

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Let us begin by defining arc measure

Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc.

From the given diagram, we can determine that:

measure of arc DC = 100 degrees

Answer: 100 degrees

Answer:

9

Step-by-step explanation:

27/3=9. 9x3=27

b) The statement is False.

The ability of a Programmable Logic Controller (PLC) to perform math functions is not intended to replace a calculator.

PLCs are primarily used for controlling industrial processes and automation tasks, such as controlling machinery, monitoring sensors, and executing logic-based operations.

While PLCs can perform basic math functions as part of their programming capabilities, their primary purpose is not to act as calculators but rather to control and automate various industrial processes.

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer: - 27 meters

Step-by-step explanation:

1.     86 m   Start at 86 meters

2.  +35 m    Go up another 35 meters

3. -148 m   Go down 148 meters.

4.  - 27 meters  Net change in elevation

The net result is a negative 27 meters in elevation from the start of the hike.

Work Shown:

x - 4/5 = 7

x = 7 + 4/5

x = 35/5 + 4/5

x = (35+4)/5

x = 39/5

Answer:

Yes

Step-by-step explanation:

We know that because AB and CD are parallel,

As supplements of congruent angles are congruent, this means angle B is congruent to angle C.

Thus, ABCD is a parallelogram because it is a quadrilateral with 2 pairs of opposite congruent angles.

Answer:

3rd answer

Step-by-step explanation:

its the 3rd answer trust me on it

The answer choices that correctly describe the points labeled A, B, and C in the box plot include the following:

B. point C represents Q₃.

C. point A represents Q₁.

E. point B represents the median.

In Mathematics and Statistics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the box-and-whisker plot, the five-number summary for the given data set include the following:

Minimum (Min) = 1.

First quartile (Q₁) = 4.

Median (Med) = 7.

Third quartile (Q₃) = 10.

Maximum (Max) = 12.

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(b) 40 * \(\frac{72}{360}\) = 40 * \(\frac{1}{5}\) = 8

(c) 360 - (72 + 144 + 81) = 360 - 297 = 63

(d) \(\frac{144}{360}\) = \(\frac{2}{5}\)

Answer:

Exact form 9/4 Mixed number form 2 1/4 decimal form 2.25

Step-by-step explanation:

Answer:2.25

Step-by-step explanation:

hope this helps

Answer:

28 - m = 3

28 - 3 = m

25 = m

Hope this helps :) mark me brainliest if you want to

The goal of our sampling is to determine the favorite sport of the students in the high school. For that we need to sample from all the students in the school, trying to get as diversified as possible. Let's analyze each strategy and choose the better one.

Kenneth goes to a football field, since he's already at an sports event, most of the students going there will have football as their favorite sport, skewing the data towards that. Therefore this is not an effective strategy.

Lynn stands at the entrance of the school sampling 20 students that arrives, this also doesn't take a lot of students into account, because most of the people that arrive early presumably have a simillar personality.

Maleka uses a list of students from the whole scools, then chooses at random the names she'll interview. This seems like a good approach, because it's from the whole school, and there isn't a significant bias inserted into the sampling.

Finally tony samples all the students from his class, this also does not sound like a good strategy, because they don't represent the whole school.

The best strategy is the one used by Maleka, option C.

Step-by-step explanation:

(2x*4 y*5)*3/8

2*3 x*12 y*15

8 /8x*12 y*15

To find the common ratio and the first four terms of the geometric sequence {(9^n+2)/(3)}, let's first rewrite the given expression to make it easier to understand i.e. Term a_n = (9^n+2)/3

Now, let's find the first four terms:
a_1 = (9^(1)+2)/3 = (9+2)/3 = 11/3
a_2 = (9^(2)+2)/3 = (81+2)/3 = 83/3
a_3 = (9^(3)+2)/3 = (729+2)/3 = 731/3
a_4 = (9^(4)+2)/3 = (6561+2)/3 = 6563/3

The first four terms are:
a_1 = 11/3
a_2 = 83/3
a_3 = 731/3
a_4 = 6563/3

To find the common ratio, divide the second term by the first term (or any consecutive terms):
Common ratio = a_2 / a_1 = (83/3) / (11/3) = 83/11 = 3

So, the common ratio is indeed 3, and the first four terms are 11/3, 83/3, 731/3, and 6563/3.

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Step-by-step explanation:

Given:

x=15

To solve:

Simplify the equation.

Substitute 15 into x:

-3(15) - y = -51

-45-y=-51

Switch the terms to find y:

-45+51=y

6=y

Solution:

y=6.

Answer:

1.6

2.28

3.0

4. 4

5.19

6.145

7.19

8.6

9.19

10.42

Step-by-step explanation: didnt see The last one hope this helps