Given v = 520 sin (30t - 5π/4), what is the frequency?Question 13 options:15 Hz30 Hz4.8 Hz19.1 Hz

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

Answer:

Free Coins!!!

Quadrant 1 if that's what your talking about

The graph below shows a couple of plotting points, one of them being 0,1.

Answer:

16 km

Step-by-step explanation:

Given:

Distance from Washington to Stamford = distance from Washington to Salem + distance from Salem to Stamford = 10.3 km + 11.9 km = 22.2 km

Distance from Washington to Oakdele = 6.2 km

Required: the difference between the distance from Washington to Stamford and from Washington to Oakdele

Solution:

Distance from Washington to Stamford = 22.2 km

Distance from Washington to Oakdele = 6.2 km

The difference = 22.2 km - 6.2 km = 16 km

Therefore, from Washington, it is 16 km farther to Stamford than to Oakdele.

Given that each package contains 9 trading cards.

Packages                                      Trading cards

2                                                      18

4                                                      36

7                                                      63

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

90

Step-by-step explanation:

for percentage

\(\frac{54}{60}\)×100

= 0.9×100

=90

If the y-coordinate of P is −3/5, and P  is in quadrant IV, then x = 4/5

In Trigonometry, the unit circle is a special circle that is centered on the origin of a coordinate grid, with a radius equal to 1 unit.

Now, we are told that the point P is on the unit circle and also we know that the length of the line from P to the origin is exactly 1 unit.

We're also given a y-coordinate as, y = -3/5.

The y-coordinate denotes the length of a perpendicular line from point P to the x-axis.

If x is the x-coordinate, y is the y-coordinate, and h is the hypotenuse length, we can set up the equation vis Pythagoras theorem as:

x² + y² = h²

Making x the subject gives;

x = √(h² – y²)

Plug in the relevant values h = 1 and y = -3/5 to get;

x = √(1)² – (-3/5)²

x = √1 – 9/25

x = √16/25

x = 4/5

We are told that P is in quadrant IV, which has negative values for both y and positive values for x and as such  x is positive.

Thus, x = 4/5

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Answer:

85°

Step-by-step explanation:

So in geometry, the formula to find the sum of all interior angles is denoted as follows:

n = number of sides in the polygon

( n - 2 ) × 180° = sum of the interior angles

Using that formula, a triangle has 3 sides, so

n = 3 , therefore:

= ( 3 - 2 ) × 180°

= 1 × 180°

= 180°

Since the total sum of the interior angles of a triangle all have to add up to 180°, you can create the following equation and solve:

34° + 61° + x = 180°

Solve for x.

Answer:

d) 5 - 2√6

Step-by-step explanation:

We need to simply (√3 - √2)². Assume that √3 is 'a' and √2 is 'b'. At the present time, the given term looks like: (a - b)². And we know that (a - b)² = a² + b² - 2ab. Apply the same rule in (√3 - √2)².

→ (√3)² + (√2)² - 2(√3)(√2)

Square root can be written as ½ and square of ½ means 1 as 1/2 × 2 is 1. So,

→ 3 + 2 - 2√6

→ 5 - 2√6

Option (D) is the correct option among the other options.

Answer:

[D} \(5-2\sqrt{6}\)

Step-by-step explanation:

\(\mathrm{Apply\:Perfect\:Square\:Formula}:\) \(\quad \left(a-b\right)^2=a^2-2ab+b^2\)

\(\left(\sqrt{3}-\sqrt{2}\right)^2=\left(\sqrt{3}\right)^2-2\sqrt{3}\sqrt{2}+\left(\sqrt{2}\right)^2\)

\(=\left(\sqrt{3}\right)^2-2\sqrt{3}\sqrt{2}+\left(\sqrt{2}\right)^2\)

\(=5-2\sqrt{6}\)

[RevyBreeze]

Answer:

90%

Step-by-step explanation:

We know that

9/10

is the same as

9÷10

Then using

Long Division for 9 divided by 10

gives us

0.9

Converting our number to a percentage:

0.9×100

=90%

(Note this isnt rounded up.)

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

The area of a circle can be found using either of the following formulas:

\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.

\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.

Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

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Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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Answer:

2 2/9

Step-by-step explanation:

The probability of the sample mean being between 390 grams and 399 grams is 0.3845.

What is the definition of probability?

Probability is a measure of likelihood of an event to occur. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

If we flip a fair coin, the chance of receiving heads is 0.5 (or 50%) since there are only two potential outcomes, both of which are equally likely. Similarly, the likelihood of getting a 4 on a fair six-sided dice is 1/6 or about 0.167 (or 16.7%).

Now,

To solve this problem, we can use the central limit theorem, which states that the sample mean of a large enough sample will be approximately normally distributed, regardless of the distribution of the population.

The sample size of 10 is large enough to apply the central limit theorem, and we can use the formula for the standard error of the mean:

SE = σ / √(n)

Plugging in the values given in the problem, we get:

SE = 28 / √(10) ≈ 8.85

z = (x - μ) / SE

Where x is the sample mean, μ is the population mean, and SE is the standard error of the mean calculated above.

For the lower bound of 390 grams:

z = (390 - 396) / 8.85 ≈ -0.678

For the upper bound of 399 grams:

z = (399 - 396) / 8.85 ≈ 0.339

Using a standard normal distribution table or calculator, we can find the probabilities associated with these z-scores.

The probability of the sample mean being less than 390 grams is approximately 0.2486, and the probability of the sample mean being less than 399 grams is approximately 0.6331.

Therefore,

                 the probability of the sample mean being between 390 grams and 399 grams is:

0.6331 - 0.2486 ≈ 0.3845.

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Answer:

C

Step-by-step explanation:

These triangles do look congruent. However, in fact, we don’t have enough information. We need 3 parts of a trainable to be shown congruent for it to be congruent, including HL congruence (because this requires a right angle). In the diagram, only 2 sides are shown to be congruent. This isn’t enough information to prove that the triangles are congruent. Therefore, it is C.

I hope this helps! :)

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

F

Step-by-step explanation:

Answer:

I believe the answer is f.

Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

Answer:

see explanation

Step-by-step explanation:

look photo

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

The given pair of angles form linear pair, therefore their sum is equal to 180°

that is :

\(\qquad \sf  \dashrightarrow \:2(x - 26) + 3x + 2 = 180\)

\(\qquad \sf  \dashrightarrow \:2x - 52 + 3x + 2 = 180\)

\(\qquad \sf  \dashrightarrow \:5x - 50 = 180\)

\(\qquad \sf  \dashrightarrow \:5x = 230\)

\(\qquad \sf  \dashrightarrow \:x = 46 \degree\)

Have a great day ~

answer of this question will be 6

Answer:

Do you have a picture because i work better with pictures

Step-by-step explanation:

Answer:

8 cups hope this helps have a nice day please give me brainliest:))

Step-by-step explanation:

Answer:

.125 cup

Step-by-step explanation:

when you divide 1 by 8 you get .125 (and in this case your answer).

The loan will cost interest will be $35.21.The total amount is the sum of the principal and the interest.

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

The given data in the problem is;

P is the principal = $1000

The interest rate on his card is 21%.

t is the time period = 3 month

The amount is denoted by A;

\(\rm A = P +I \\\\ I=A-P \\\\ I= \$1035.21 - \$1000 \\\\ I= \$ \ 35.21\)

Hence the loan will cost interest $35.21.

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Explanation:

We'll need to compute the difference quotient. In this case, we need to find what \(\frac{g(h+t)-g(t)}{h}\) is equal to. It's called a difference quotient because there's a subtraction in the numerator (aka "difference") and we're dividing to form the quotient.

The idea is that as h approaches 0, then that expression I wrote will approach the derivative we're after. Keep in mind that h will technically never get to 0 itself. It only gets closer and closer.

Anyways, let's compute \(g(h+t)\) first

\(g(t) = 5t^2+5t\\\\g(h+t) = 5(h+t)^2+5(h+t)\\\\g(h+t) = 5(h^2+2ht+t^2)+5(h+t)\\\\g(h+t) = 5h^2+10ht+5t^2+5h+5t\\\\\)

Then we'll subtract off g(t)

\(g(h+t)-g(t) = (5h^2+10ht+5t^2+5h+5t) - (5t^2+5t)\\\\g(h+t)-g(t) = 5h^2+10ht+5t^2+5h+5t - 5t^2-5t\\\\g(h+t)-g(t) = 5h^2+10ht+5h\\\\\)

A very important thing to notice: the terms that don't have any 'h's in them have been canceled out (eg: 5t^2 combined with -5t^2 added to 0). Why is this important? It's because we need to factor 'h' out and we'll have a pair of 'h's cancel like so

\(\frac{g(h+t)-g(t)}{h} = \frac{5h^2+10ht+5h}{h}\\\\\frac{g(h+t)-g(t)}{h} = \frac{h(5h+10t+5)}{h}\\\\\frac{g(h+t)-g(t)}{h} = 5h+10t+5\\\\\)

The left hand side cannot have h = 0, or else we have a division by zero error. But if we approached 0 (not actually getting there), then the expression 5h+10t+5 will approach 5(0)+10t+5 = 10t+5

---------------------

In short: The derivative of \(5t^2+5t\) is \(10t+5\)

In terms of symbols, \(g ' (t) = 10t+5\)

Later on in calculus, you'll learn a shortcut so you won't have to compute the difference quotient every time you need a derivative. Refer to the power rule for more information.

After we find the derivative, it's as straight forward as plugging in t = 6 to compute g ' (6)

\(g ' (t) = 10t+5\\\\g ' (6) = 10(6)+5\\\\g ' (6) = 60+5\\\\g ' (6) = 65\\\\\)

Side note: This tells us that the slope of the tangent line is m = 65 when t = 6. In other words, this line is tangent to g(t) when t = 6, and this particular tangent line has slope m = 65.

Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

$960 per month on her entertainment budget

If Amy decides to live with her parents or a relative, she will save $8,640 compared to living on campus over the 9-month period ($12,798 living on campus minus $4,158 living with a relative).

Since we are wondering what she can now use for entertainment each month, we divide the number of dollars saved from living with a relative by 9 months.

$8,640 / 9 months = $960 per month

Amy is now able to reallocate $960 per month on her entertainment budget since she currently doesn't have an entertainment budget listed.

Answer:

b

Step-by-step explanation:

b

Answer:

49

Step-by-step explanation: