Please help me with this problem so I can help my son better understand.

Answer:

5.25

Step-by-step explanation:

7 divide 8 = 0.875

0.875 × 6 = 5.25

Answer:

Step-by-step explanation:

a = 36

c = 3b - 28

a + b + c = 180°

a = measure of the first angle

b = measure of the second angle

c = measure of the third angle

then:

1)  36 + b + (3b-28) = 180   ⇒ )Define your variable. Write your equation and solve)

b + 3b + 36 - 28 = 180

4b + 8 = 180

4b = 180 - 8

4b = 172

b = 172/4

2)   b = 43°        ⇒   measure of the second angle

c = 3b - 28

c = 3*43 - 28

c = 129 - 28

3) c = 101°      ⇒   measure of the third angle

Check:

36° + 43° + 101° = 180°

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

80%. Eighty percent of them

Answer:

  one solution: (1, 4)

Step-by-step explanation:

You want the graphs and number of solutions to the system of equations ...

The graph is attached. The first equation has a y-intercept of +1 and a slope of 3. The second equation has a y-intercept of +2 and a slope of 2.

The different slopes mean there is exactly one solution. The graph shows that solution to be (x, y) = (1, 4).

__

Additional comment

The slope is the x-coefficient when the equations are written in this "slope-intercept" form. It is the "rise/run" for the line on the graph. A slope of 3, for example, means the line has a rise of 3 grid squares for a run of 1 square (to the right). Knowing the y-intercept and slope makes it easy to graph the line.

Answer:

3472

Step-by-step explanation:

The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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Answer: I'm lost too

Step-by-step explanation:

The measure of the length of DE is 2.1 cm after applying the similarity law for triangles.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that:

The triangle ABC is BC 6.3 cm and AC 7.5 cm.

BC = 6.3 cm

AC = 7.5 cm

AE = 2.5 cm

Applying similarity law for triangles:

AC/BC = AE/DE

7.5/6.3 = 2.5/DE

DE = (2.5x6.3)/7.5

DE = 2.1 cm

Thus, the measure of the length of DE is 2.1 cm after applying the similarity law for triangles.

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Answer:

See below

Step-by-step explanation:

50 - x^2 = 0     add x^2 to both sides of the equation

x^2 = 50           sqrt both sides

x = +- √(50) = ±√(25*2) = ±5√2

The solutions to the quadratic equation 50 - x² = 0 are x = -5√2 or x = 5√2. Option C is correct.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

To solve the quadratic equation 50 - x² = 0, we can use the difference of squares formula, which states that a² - b² = (a + b)(a - b). In this case, we have:

50 - x² = (5√2)² - x²

= (5√2 + x)(5√2 - x)

So, we can write the equation as:

(5√2 + x)(5√2 - x) = 0

Now, we can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we have:

5√2 + x = 0 or 5√2 - x = 0

Solving for x in each equation, we get:

x = -5√2 or x = 5√2

Therefore, the solutions to the quadratic equation 50 - x² = 0 are x = -5√2 or x = 5√2.

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Answer:

\(2-course\ meal = 77\ ways\)

Step-by-step explanation:

Given

\(Entrees = 7\)

\(Desserts = 11\)

Required

Determine the number of ways to get a two-course meal

This is solved as follows:

The entrees can be ordered in 7 ways

The desserts can be ordered in 11 ways;

\(2-course\ meal = Entrees * Desserts\)

Hence:

\(2-course\ meal = 7 * 11\)

\(2-course\ meal = 77\ ways\)

Answer:

A≈615.75m²

Step-by-step explanation:

Solution

A=4πr2=4·π·72≈615.75216m²

Hope this helped!!!

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

EU (European Union) countries report that 46% of their labor force is female. The United Nations wants to determine if the percentage of females in the U.S. labor force is the same. Based on a sample of 500 employment records, representatives from the United States Department of Labor found that the 95% confidence interval for the proportion of females in the U.S. labor force is 0.357 to 0.443. If the Department of Labor wishes to tighten its interval, they should:

A. increase the confidence level

B. decrease the sample size

C. increase the sample size

D. Both A and B

E. Both A and C

Solution:

Confidence interval for population proportion is written as

Sample proportion ± margin of error

Where sample proportion is the point estimate for the population proportion.

Margin of error = z × √pq/n

The z score for 95% confidence level is 1.96

p = 46/100 = 0.46

q = 1 - p = 1 - 0.46

q = 0.54

n = 500

Margin of error = 1.96√0.46 × 0.54/500 = 0.044

To tighten it's interval, the margin of error needs to be reduced.

If we increase the confidence level, say to 99%, z = 2.58

Then

Margin of error = 2.58√0.46 × 0.54/500 = 0.058

It increased

Also, If we increase the sample size, say to 700, then

Margin of error = 1.96√0.46 × 0.54/700 = 0.037

It has reduced

Therefore, the correct options is

C. increase the sample size

Answer:

3rd  option

Step-by-step explanation:

\(\frac{5}{7}\) y = 6

multiply both sides by \(\frac{7}{5}\) , the reciprocal of \(\frac{5}{7}\) )

\(\frac{7}{5}\) ( \(\frac{5}{7}\) y ) = \(\frac{7}{5}\) (6) , that is

y = \(\frac{42}{5}\)

Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

My own multi-step combination problem is given below:

To solve this problem, Amanda  need to use the formula for combinations and it is:

nCr = n! / (r! x (n-r)!)

where:

n = total number of items to select from

r is the number of items to select.

First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:

5C3

=  5! / (3! x (5-3)!)

= 10

Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be

4C2

= 4! / (2! x  (4-2)!)

= 6

Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:

3C2

= 3! / (2! x  (3-2)!)

= 3

To have the total number of dinner menus, we have to multiply these three numbers together:

= 10 x 6 x 3

= 180

Therefore, one can say that Amanda have 180 different dinner menus that she can be create.

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Answer:

P(A) = 0.57 (rounded to two decimal places).

Step-by-step explanation:

The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:

P(red) = number of red marbles / total number of marbles

P(red) = 20/35

We can simplify this fraction by dividing both the numerator and denominator by 5:

P(red) = 4/7

So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.

Therefore, P(A) = 0.57 (rounded to two decimal places).

Answer:

=5

Step-by-step explanation:

perimeter= 2(L)+2(W)

11 =2(1/2)+2W

11=1+2W

11-1=2W

10=2W

Both sides divided by 2

therefore The width is 5

Median is the middle value.

Each set has 7 numbers so put the numbers in order from smallest to largest. The median would be the 4th number in the sets.

Only 2 sets have the number 15 in them so those are the only two you need to look at.

The 3rd choice is the correct answer.

The number of ways to pick a digit, a lowercase letter, an uppercase letter, or one of eight allowable punctuation marks is 70.

The total number of digits (0-9) = 10.

Thus, the number of ways to pick a digit = 10.

The total number of lowercase letters (a - z) = 26

Thus, the number of ways to pick a lowercase letter = 26.

The total number of uppercase letters (A - Z) = 26

Thus, the number of ways to pick an uppercase letter = 26.

The total number of allowable punctuation marks = 8

Thus, the number of ways to pick a punctuation = 8.

Hence, the total number of ways to pick a digit, a lowercase letter, an uppercase letter, or one of eight allowable punctuation marks is -

10 + 26 + 26 + 8 = 70.

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Answer:

0.0667 = 6.67% probability that all seven machines are nondefective.

Step-by-step explanation:

The machines are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

10 machines means that \(n = 10\)

2 defective, so 10 - 2 = 8 work correctly, which means that \(k = 8\)

Seven are selected, which means that \(n = 7\)

What is the probability that all seven machines are nondefective?

This is P(X = 7). So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 7) = h(7,10,7,8) = \frac{C_{8,7}*C_{2,0}}{C_{10,7}} = 0.0667\)

0.0667 = 6.67% probability that all seven machines are nondefective.

Answer: i dont know

Step-by-step explanation:

Answer:

We conclude that the length of LM if L(3,4) and M(1,-2) will be:

\(d = 6.3\)

Hence, option D is correct.

Step-by-step explanation:

Given

Determining the length of LM

The length of the distance between (x₁, y₁)  and (x₂, y₂)  can be determined using the formula

\(d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)

   \(=\sqrt{\left(1-3\right)^2+\left(-2-4\right)^2}\)

   \(=\sqrt{2^2+6^2}\)

   \(=\sqrt{4+36}\)

   \(=\sqrt{40}\)

   \(=\sqrt{4\times 10}\)

   \(=\sqrt{2^2\times \:10}\)

   \(=2\sqrt{10}\)

   \(=6.3\)

Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:

\(d = 6.3\)

Hence, option D is correct.

The Venn Diagram for these given sets is graphed at the end of the answer.

A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.

For this problem, we have that:

The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.

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Answer:

Step-by-step explanation:

3) There are 10 sides, so the sum of the angles is \(180(10-2)=1440^{\circ}\)

4) There are 9 sides, so the sum of the angles is \(180(9-2)=1260^{\circ}\).

Answer:

C and D

Step-by-step explanation:

\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)