What is the measure of each interior angle for a regular polygon with 30 sides?

Answer:

B) Historically, in this area, high winds occur 80% of the time on days with similar meteorological conditions as today.

Explanation:

Meteorologists calculate the probability of certain weather conditions by dividing specific outcomes by the total number of possible outcomes. For example, to find out the probability of raining on a certain date, meteorologists use a large database which contains information about how many times it rained when the meteorological conditions were similar. If historically it rained during 5,000 days out of 8,000 total days that had a similar meteorological condition, then the probability of rain will be 5,000 / 8,000 = 62.5%

Answer:

OptionC

Step-by-step explanation:

Given that the correlation coefficient (r) between the number of miles driven x and the number of gallons of gasoline used y is 0.925

Coefficient of determination = square of r

= 0.8556

=85.6%

Hence the percent of the variation in the number of gallons of gasoline can be explained by differences in the number of miles driven is 85.6%

Option C

A decimal is a way of expressing numbers that are not whole numbers, but rather include a fractional or decimal part. The decimal equivalent of the base-6 number 12345 is 1415.

To convert a base-6 number to decimal, we multiply each digit by its corresponding weight and add the products together. The weights are 6 to the power of the digit's position, starting from the rightmost digit.

For example, to convert the base-6 number 12345 to decimal, we would do the following:

(1 * 6^4) + (2 * 6^3) + (3 * 6^2) + (4 * 6^1) + (5 * 6^0)

= 1296 + 72 + 18 + 24 + 5

= 1415

Therefore, the decimal equivalent of the base-6 number 12345 is 1415.

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to be a perfect square C needs to be a number that can be squared

 and the middle term needs to be able to be multiplied by 2 or -2 of the square of the 3rd term (C)

 so in this case C = 25

 25 can be squared ( square root of 25 is 5)

square root of 25 (5) times 2 = 10 ( 2nd term)

C = 25

Answer:

32

Step-by-step explanation:

To solve this, you need to start by finding the width of the rectangles and the midpoints. If n=4, b=2, a=-2, and the width of each triangle is delta x = b-a / n, then each width is equal to 1 and there will be four midpoints (you can also tell the amount of midpoints by n=4). These midpoints are -1.5, -0.5, 0.5, and 1.5. The height of each of the rectangles is going to be equal to f(x*k), where x*k is the specific mid point. This means that you need to find f(-1.5), f(-0.5), f(0.5), and f(1.5). When putting these into the function you will get 4.625, 7.875, 8.125, and 11.375. Seeing as the Riemann Sum formula says the summation of f(x*k) * delta x, multiply each of the heights by the width of 1 and then add all of the values together. When you do this you will get 4.625 + 7.875 + 8.125 +11.375 which all totals to 32. This means that the approximation of the given integral is 32.

Answer:

There are 15 dimes and 22 quarters in the jar.

Step-by-step explanation:

Deangelo has $7 worth of dimes and quarters in a jar.

Let he has d number of dimes and q number of quarters in a jar.

0.10d + 0.25q = 7 -------(1)

He has 7 more quarters than dimes.

q = d + 7 -------(2)

We replace the value of y from equation 2 in the equation 1

0.10d + 0.25(d + 7) = 7

0.10d + 0.25d + 1.75 = 7

0.35d = 7 - 1.75

0.35d = 5.25

d = [tex]\frac{5.25}{0.35}=15[/tex] dimes

Now we put this value in the equation number 2

q = 15 + 7 = 22

Therefore, number of dimes and quarters are 15 and 22 respectively.

The statement that is always true for any parallelogram is that the diagonals bisect each other.

The statement that is always true for any parallelogram is b. "the diagonals bisect each other". To bisect means to divide into two equal parts. In a parallelogram, the diagonals (the line segments connecting opposite corners) will always divide each other into two equal parts. This can be proven by using properties of parallel lines and alternate interior angles.

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118 + 78 + 46 = 242

 3 inside angles should equal 360 degrees

 so angle K = 360 - 242 = 118 degrees

Answer:

(B)  the measure of angle K=118°

Step-by-step explanation:

From the given figure, ∠KJM=78°, ∠JML=118°,∠MLK=46°

Now,since JKLM is a quadrilateral and we know that sum of all the angles of a quadrilateral is =360°, thus

∠KJM+∠JML+∠MLK+∠JKL=360°

⇒78°+118°+46°+∠JKL=360°

⇒242°+∠JKL=360°

⇒∠JKL=360°-242°

⇒∠JKL=118°

Thus, the measure of angle K=118°

Answer:

d

Step-by-step explanation:

Side = 11 cm, side = 5 cm, side = 5 cm

Answer:

Look at how many factors it has.

If it has 2, it's prime.

If it has 3 or more, it's composite.

Step-by-step explanation:

I hope it helps!

The converse of 'If x = 7, then x^2 = 49' is 'If x^2 = 49, then x = 7' which is considered true in the real number system. So, these can be combined as a biconditional: 'x = 7 if and only if x^2 = 49.'

The problem involves understanding the conditional, converse, and biconditional statements in mathematics logic. The initial conditional statement is 'If x = 7, then x^2 = 49.' We then need to assess the converse of this, which would be 'If x^2 = 49, then x = 7.' This converse statement is actually true, though it’s implied that we are dealing with real numbers. That’s because, in the real number system, when x^2 = 49, then x could technically be either 7 or -7.

However, because the original statement specified that x = 7 directly, we can say that both the conditional and converse are true. Therefore, these two statements can be combined as a biconditional. The biconditional statement, which is a statement that is accurate if both the conditional and converse are true, would be: 'x = 7 if and only if x^2 = 49.'

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Answer:

She went 11 times.

Step-by-step explanation:

Given,

The change in saving in each time she goes bowling = -$ 9,

If she goes t times,

The change in saving for going t times = t × change in saving in each time

= t × -9

= -9t dollars,

According to the question,

-9t = -99

[tex]\implies t=\frac{-99}{-9}=11[/tex]

Hence, she went 11 times to bowling.

Answer:

55 Students identified at least 35 flowers.

Step-by-step explanation:

Here we have to ask at least 35 flowers, so there are only 3 classes. i.e. 35 - 41, 42 - 48, 49 - 55.

Thus, Number of Students identified at least 35 flowers is: 5 + 31 + 19 = 55

Further, Frequency is the number of repetitions of particular observation or class.

Relative frequency is the proportion of frequency. For finding the Relative Frequency divide the frequency of that observation or class to the total frequencies.