20 is 25% of what number

In the north direction, Martha facing if the Martha is standing on a street corner in a big city, facing south.

The four cardinal directions, sometimes known as cardinal points, are the four principal compass directions: north, east, south, and west, which are frequently abbreviated as N, E, S, and W.

We have:

Martha is standing on a street corner in a big city, facing south. She walks 5 blocks to the south.

Then, she turns right and walks 3 blocks. Then, she turns right as walks 2 blocks. Then, she turns right again and walks 1 block.

If we draw a line diagram, we will see:

She will be facing at North.

Thus, in the north direction Martha facing if the Martha is standing on a street corner in a big city, facing south.

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The two integers are 12 and 18.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, one positive integer is 6 less than twice another.

Let positive integer be x and the other positive integer is 2x-6

x²+(2x-6)²=468

x²+4x²-24x+36=468

5x²-24x+36-468=0

5x²-60x+36x-432=0

5x(x-12)+36(x-12)=0

(x-12)(5x+36)=0

(x-12)=0

x=12

So, 2x-6=18

Therefore, the two integers are 12 and 18.

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Answer:

14 pi in.

Step-by-step explanation:

hop this helps!

Denote all work that should be done as 1. Then if Cody can complete the project in 8 hours, he can do [tex] \frac{1}{8} [/tex] per hour and if Kaitlyn can complete the project in 6 hours, then she can do [tex] \frac{1}{6} [/tex] per hour. Together they complete [tex] \frac{1}{8}+\frac{1}{6} [/tex] per hour.

Simplify this expression:

[tex] \dfrac{1}{8} +\dfrac{1}{6} =\dfrac{3}{24} +\dfrac{4}{24}=\dfrac{7}{24} [/tex].

Then it will take them to complete the project together [tex] \dfrac{1}{\frac{7}{24}} =\dfrac{24}{7} =3\dfrac{3}{7} [/tex] hours

Answer: It will take them to complete the project together [tex] 3\dfrac{3}{7} [/tex] hours.

To calculate the probability of selecting a pregnant subject from the 99 test subjects, the exact number of pregnant subjects in the group is needed. Without this data, the probability cannot be determined.

To ascertain the probability of randomly selecting a pregnant subject from a group of 99 test subjects, additional information is required regarding how many subjects are actually pregnant within the group. Without this information, we cannot compute an exact probability.

However, if we had data—let's say 15 out of the 99 subjects are pregnant—the probability would then be calculated using the formula for probability, which is the number of favorable outcomes divided by the total number of possible outcomes. In this scenario, the probability would then be 15/99.

Final answer:

Without specific information on the number of pregnant subjects among the 99 test subjects, it's impossible to compute the exact probability of randomly selecting a pregnant subject.

Explanation:

To answer the question about the probability of randomly selecting a pregnant subject from the 99 test subjects, we would need to know the number of pregnant subjects within the group. Without that information, we cannot calculate the exact probability. However, if we had that information, the probability (P) of selecting a pregnant subject would be calculated as P = (Number of Pregnant Subjects) / (Total Number of Subjects), which in this case is 99.

This is an example of a probability question that falls under the broader subject of mathematics, specifically within the topic of probability and statistics commonly covered at the high school level.

Answer:

The random variable measures the number of successes out of n trials.

Answer:

2 1/4

Step-by-step explanation:

3 3/4 times 3/5= 15/4 times 3/5=45/20=9/4=2 1/4

I did this because speed times time equals distance and we are finding distance

HOPE THIS HELPS!!!!! :)

The distance walked in 3/5 hours is 2(1/4) km.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Average speed = 3(3/4) km per hour

This can be written as,

3(3/4) km = 1 hour

15/4 km = 1 hour

15/4 km = 1 hour

Multiply 3/5 on both sides.

3/5 x 15/4 km = 3/5 hours

9/4 km = 3/5 hours

2(1/4) km = 3/5 hours

Thus,

2(1/4) km is walk in 3/5 hours.

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The diagonal of the rectangle can be calculated by using the Pythagorean Theorem , because the diagonal and the two sides , length and width, of the rectangle , makes a right triangle .

Now we have the measure of length and width and we have to find the measure of diagonal

So according to the Pythagorean theorem

[tex] d^2 = a^2 +b^2 [/tex]

where , d is the diagonal , a is the length and b is the width

lets plug the values

[tex] d^2 = 37^2 +60^2 [/tex]

[tex] d^2 = 1369+3600 [/tex]

[tex] d^2 = 4969 [/tex]

Taking square root on both sides

d=70.49 Inches

d=70.5 inches

hence the length of one of the braces is 70.5 inches

Applying the inscribed quadrilateral conjecture, the measure of m∠A = 137°.

The inscribed quadrilateral conjecture states that the opposite angles in any inscribed quadrilateral in a circle measures up to 180 degrees.

Thus:

43° + m∠A = 180°

m∠A = 180 - 43

m∠A = 137°

Thus, applying the inscribed quadrilateral conjecture, the measure of m∠A = 137°.

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-4u +2v

= -4<-6, 1> +2<-5, 2>

= <(-4)(-6)+2(-5), (-4)(1) +2(2)>

= <14, 0>

The appropriate choice is ...

... B) <14, 0>

To find the result of -4u + 2v, calculate -4u and 2v separately, then add the results together to get <-34, 0>.

To find -4u + 2v, we first need to calculate -4u and 2v separately and then add them together.

Therefore, the answer is: -34, 0.

The expected value of y = cos(xÏ) is 0 and the expected value of y = sin(xÏ) is also 0, due to the symmetry of the random variable x.

The expected value (mean) of y = cos(x Ï) is 0.

The expected value (mean) of y = sin(x Ï) is also 0.

Since the random variable x is symmetric, the probability of both positive and negative values cancel out, resulting in an expected value of 0 for both cosine and sine functions.

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We want to find the number of positive integers not exceeding 1000 that are either the square or the cube of an integer.

We will get that there are 38 of these.

First, the squares:

To get the number of square numbers not exceeding 1000, we need to find the largest integer that when squared is equal or smaller than 1000.

This is given by:

√1000 = 31.6

Then the largest square number smaller than 1000 is given by:

31^2 = 961

From this, we can conclude that there are 31 integers not exceeding 100 that are the square of an integer.

For the cubes we do the same thing:

∛1000 = 10

The largest cube number that meets the condition is:

10^3 = 1000

Then there are 10 cube numbers that meet the condition.

Now we need to find the common numbers in bot groups (this is, numbers that are a cube and a square of two integers and that are smaller than 1000).

The numbers that meet this condition are:

1)

1^2 = 1

1^3 = 1

64)

4^3 = 64

8^2 = 64

81)

9^3 = 279

27^2 = 729

These 3 numbers are in both groups, so we are counting them twice, thus we need to subtract 3 to the final result, in order to avoid counting the same number two times.

Then the total number of positive integers not exceeding 1000 that are either the square or the cube of an integer is:

31 + 10 - 3 = 38

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