probability of randomly drawing a vowel.

two eighths
six eighths
two sevenths
six sevenths

Answer:

Step-by-step explanation:

\(13) \dfrac{5}{x}=\dfrac{20}{16}\)

In the numerator, 20 ÷ 4 = 5

So, x = 16 ÷ 4 = 4

5 : 4 = 20:16

14)

\(\dfrac{2}{9}=\dfrac{12}{x}\)

In the numerator, 2*6 = 12

So, x = 9*6 = 54

2:9 = 12 : 54

15)   \(\dfrac{x}{1}=\dfrac{30}{3}\)

In the denominator 3 ÷ 3 = 1

So,  30 ÷ 3 = 10

10 : 1 =  30 : 3

\(16)\dfrac{x}{5}=\dfrac{21}{35}\)

In the denominator, 35 ÷ 7 = 5

x = 21 ÷ 7 = 3

3 : 5 = 21 : 35

\(17) \dfrac{21}{x}=\dfrac{7}{2}\)

In the numerator, 7 *3 = 21

So, x = 2*3 = 6

21: 6 = 7 : 2

The area of the dark blue section of the square grid is; 3/7 * 1/3 square units

We are told that the entire square represents 1 square units.

Now, the formula for area of a square is;

Area = side * side

Now, this means both sides will measure 1 unit. Thus;

The measure of each unit along the vertical axis which was divided into 3 smaller boxes is; 1/3 units

Similarly, we see that the horizontal part was divided into 7 units and as such, the measure of each horizontal unit = 1/7 units

Thus, the expression for the area of the dark blue section is;

1/3 * 3(1/7) = 3/7 * 1/3 square units

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We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

The capital letter H has 2 reflectional symmetry and 2 rotational symmetry.

A figure has reflectional symmetry if it can be reflected across a line and still look the same. For the capital letter H, there is two lines of symmetry, which is the vertical line and horizontal line that divides the letter into two equal halves. Reflecting the letter across this line produces the same letter. So, the H has only 2 reflectional symmetries.

A figure has rotational symmetry if it can be rotated by some angle and still look the same. For the capital letter H, if we rotate it 180 degrees and 360 degrees about the center point of the letter, it will look the same. There is no other angle of rotation that produces the same letter. Therefore, the H has only 2 rotational symmetries.

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--The question is incomplete, answering to the question below--

"How many reflectional symmetries does this figure have?

Enter your answer

___ reflectional symmetries

How many rotational symmetries does this figure have?

Enter your answer

___ rotational symmetries"

Answer:

C. 1 centimeter = 30 meters

\(10 \: cm = 300 \: m \\ 1 \: cm = ( \frac{1}{10} \times 300) \: m \\ = 30 \: m \\ \\ 5 \: cm = 150 \: m \\ 1 \: cm = 30 \: m\)

C=pi*d

Where pi is 3.14 and d is the diameter, in this case is 14ft. Find the circumference

Answer:

a = 6

b = 2

Step-by-step explanation:

Here, we want to take all values of p up and all values of q down

From the division, 9

goes up and the term above comes down

We have all the following indices rule to use;

(a^x)^y = a^xy

a^x * a^y = a^x + y

a^x / a^y = a^x-y

Let us evaluate all p terms;

p^12/p^4 = p^8

Let us evaluate all q terms

q^16/q^10 * 1/q^2

= q^6/q^2 = q^4

Let us evaluate all number terms

We have;

2^4/-3^2 * 9/4^2

= 16/9 * 9/16 = 1

All

number terms canceled out

Now, let us work with the exponents;

For the p terms;

p^8 = p^a+b

a + b = 8 •••••••••(i)

For the q terms;

q^4 = q^a-b

a-b = 4 ••••••••••(ii)

Add both equations

2a = 12

a = 12/2 = 6

For b;

a-b = 4

6-b = 4

b = 6-4

b = 2

Answer:

What? What's the question

Step-by-step explanation:

3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

Here's a design for a Turing machine M2 that accepts the language {\(a^(^2^i^) b^i\)| i ≥ 0}: M2 = "On input w:

Repeat the following steps:

The time complexity of M2 can be analyzed as follows:

This Turing machine M2 scans the input from left to right, marking two unmarked 'a's at a time and their corresponding 'b'.

It ensures that for every two 'a's, there is one 'b' following them, accepting only strings of the form \(a^(^2^i^) b^i\).

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3

equilateral so 5-2x=-4x+9

x=2

5-2×2=1

the trainangle is equilateral and has three sides

1+1+1=3

The two-way table is given below:

Year 10 Year 11 Year 12 Total

Job 73 Y Z x

No Job W X 42 x - 4

Total A B C 296

73 + W Y + X Z + 42

The relationship between the unknown values:

W + X + Y + Z = 181

To fill in the two-way table, we can use the given information and some basic algebra. We are given the following:

We can fill in the known values in the table:

Year 10 Year 11 Year 12 Total

Job 73 Y Z x

No Job W X 42 x - 4

Total A B C 296

Now we can use the totals to find relationships between the cells:

A = 73 + W

B = Y + X

C = Z + 42

We also know that the total number of students is 296:

A + B + C = 296

Substitute the expressions for A, B, and C:

(73 + W) + (Y + X) + (Z + 42) = 296

Combine like terms:

W + X + Y + Z + 115 = 296

Now we have:

W + X + Y + Z = 181

We don't have enough information to solve for the individual values of W, X, Y, and Z.

However, we can rewrite the table using the expressions we derived:

Year 10 Year 11 Year 12 Total

Job 73 Y Z x

No Job W X 42 x - 4

Total A B C 296

73 + W Y + X Z + 42

And the relationship between the unknown values:

W + X + Y + Z = 181

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Answer:

December 21st

Step-by-step explanation:

Answer:

december 21st!

Step-by-step explanation:

a. The population of interest in this case is the general public of the United States who have knowledge about the criminal trial and its verdict. b. It is likely that the proportion of people unhappy with the verdict in the sample is similar to the proportion of individuals unhappy with the verdict in the population.

a. The population of interest in this case is the general public of the United States who have knowledge about the criminal trial and its verdict.

b. It is likely that the proportion of people unhappy with the verdict in the sample is similar to the proportion of individuals unhappy with the verdict in the population. This is because the television news program invited viewers to go to their website and indicate their opinion, which means that only a certain segment of the population who watched that particular news program and had access to the internet were able to participate in the poll. Additionally, people who feel strongly about the verdict may be more likely to participate in the poll, leading to potential bias in the sample. Therefore, it is important to acknowledge that the poll results may not be entirely representative of the entire population and should be interpreted with caution. In order to obtain a more accurate estimate of the proportion of people unhappy with the verdict in the population, a larger, more diverse and random sample should be used.

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The appropriate sample size for the 95% confidence interval is given as follows:

139.

To obtain the appropriate sample size for the confidence interval, we need to look at it's equation for the margin of error, which is defined as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which the parameters are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The margin of error and the population standard deviation have the values given as follows:

\(M = 1, \sigma = 6\)

Then the sample size is obtained as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(1 = 1.96\frac{6}{\sqrt{n}}\)

\(\sqrt{n} = 1.96 \times 6\)

\((\sqrt{n})^2 = (1.96 \times 6)^2\)

n = 139 (rounded up, as for a sample size of 138 the margin of error would be slightly above 1).

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Answer:

24.35

Step-by-step explanation:

Answer:

400 guitars

Step-by-step explanation:

200+200=400

Answer:

Alright first It is called B.C. Rich and if they make 200 a day,They would make 400 guitars in 2 days

Step-by-step explanation:

Answer:

y=-(1/3)x - 5

Step-by-step explanation:

See attached worksheet.

Answer:

y = x

Step-by-step explanation:

(0,0) and (15, 15)

Slope:

m=(y2-y1)/(x2-x1)

m=(15-0)/(15-0)

m=15/15

m = 1

Pt-Slope intercept:

y - y1 = m(x - x1)

y - 0 = 1(x - 0)

y - 0 = x

y = x

Combining negatively correlated assets with the same expected return results in a portfolio with the same level of expected return but a lower level of risk.

When assets have a negative correlation, their returns tend to move in opposite directions. By combining these assets in a portfolio, their negative correlation offsets each other's risks to some extent. As a result, the overall risk of the portfolio is reduced.

However, the expected return of the portfolio remains the same as the individual assets, assuming they have the same expected return. This is because the negative correlation does not affect the average return of the assets, only their volatility. The diversification benefits provided by negatively correlated assets help to reduce the overall risk of the portfolio, making it less volatile than the individual assets.

Therefore, combining negatively correlated assets with the same expected return results in a portfolio with the same level of expected return but a lower level of risk. This is a desirable outcome for investors as it allows them to achieve a certain level of return while minimizing the overall risk in their investment portfolio.

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Answer:

35 and 40

Step-by-step explanation:

total ratio= 15

7/15×75=35

8/15× 75= 40

Hi there!

Your answer to this question would be, B) 2 miles.

Happy to Help!

Answer:

where is the question

Step-by-step explanation:

ok

The parts of algebraic expressions related to polynomials are variables and coefficients.

The parts of algebraic expressions are;

Polynomials are algebraic expressions composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, and multiplication

Polynomials consists of variables and coefficients. The variables in polynomials are also called indeterminates. The coefficients also multiply this variables.

Thus, the parts of algebraic expressions related to polynomials are variables and coefficients.

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Answer:

Very top one

Step-by-step explanation:

the dot is in between -34 and -35 so 34.5

and the arrow is pointing left which means less than

Answer:

p = .7

Step-by-step explanation:

3(p+2.55)=9 3/4

Change the fraction to a decimal

3(p+2.55)=9.75

Divide each side by 3

3/3(p+2.55)=9.75/3

(p+2.55)=3.25

Subtract 2.55 from each side

(p+2.55-2.55)=3.25-2.55

p =.7

Answer: At least 713 paintballs

Step-by-step explanation:

Based on the information that has been given in the question, the inequality that'll be used to solve the question will be:

18+0.08B≥75

0.08B≥75-18

0.08B≥57

B≥57/0.08

B≥712.5

Carolina needs to buy at least 713 paintballs along with the entrance fee to get the promotion.

Answer:

(1).    B. 18+0.08B≥75

(2).   713

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Its outside the graph

Answer:

Yes

Step-by-step explanation:

Answer:

∠ ABC = 90°

Step-by-step explanation:

∠ ABC is the angle on the circle subtended by the diameter AC

it is the angle in a semicircle and is 90°