Select the correct answer from each drop-down menu.

The simplified form of [look at the picture] is ____ (-pi, pi, 2 times pi). It’s estimated value is ____ (3.14, 6.28, -3.14)

Sorry if this was confusing the read! One of the answers in the parentheses are supposed to fill in the blank!

Answer:

360 ft

Step-by-step explanation:

Since 2 players have 3 donuts, then

To find the number of donuts for 12 players we will use the ratio method

Donuts: Players

3. : 2

d. : 12

By using the cross multiplication

Divide both sides by 2

We need 18 donuts for 12 players

The right answer is (3)

Answer: 23 quarters 16 nickels

Step-by-step explanation: 23x$0.25=$5.75.  16x$0.05=$0.80.

$5.75+$0.80=$6.55

Answer:

f we are talking about months of births its qualitative, if numbers such as 11, 10, 5, representing days or months or years is involved as data then it is quantitative.

Step-by-step explanation:

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

31p + 10q2

Step-by-step explanation:

Answer:

10q^2+31p

Step-by-step explanation:

We can say with 99% confidence that the true proportion of people who like dogs is within 8.44 percentage points of the sample proportion (65%).

To find the Margin of Error (MoE) for a poll, we need to use the formula:

MoE = \(z \times (\sqrt{(p \times q / n)} )\)

where:

z is the z-score associated with the desired confidence level (99% confidence level corresponds to z = 2.576)

p is the proportion of people who said they liked dogs (0.65 in this case)

q is the complement of p (i.e., q = 1 - p)

n is the sample size (130 in this case)

Plugging in the values, we get:

MoE = \(2.576 \times (\sqrt{(0.65 \times 0.35 / 130)} )\) ≈ 0.0844

Rounding to four decimal places, the Margin of Error is approximately 0.0844. Therefore, we can say with 99% confidence that the true proportion of people who like dogs is within 8.44 percentage points of the sample proportion (65%).

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Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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What do you mean exactly

The approximate height of the pole in centimeters is 17,500 centimeters.

We have,

Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.

We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.

25 = L/7

where L is the total length of the pole.

We can solve for L by multiplying both sides of the equation by 7:

L = 7 x 25

  = 175 meters

Now we need to convert this length to centimeters.

Since 1 meter is equal to 100 centimeters,

175 meters x 100

= 17,500 centimeters

Therefore,

The approximate height of the pole in centimeters is 17,500 centimeters.

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The complete question.

The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

Answer:

5

Step-by-step explanation:

I am not sure if you are aware of this and I am sure you will be able to get a good one

Answer:

Distance AB = √74 units is the answer.

Step-by-step explanation:

(-3,4) and (2,-3)

distance between two points,

\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\d = \sqrt{(2-(-3))^2 + (-3-4)^2}\\\\d = \sqrt{(5)^2 + (-7)^2}\\\\d = \sqrt{25+49}\\\\d = \sqrt{74}\)

∴ distance between A(-3,4) and B(2,-3) is √74 units.

An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

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Answer:

y = -2x+13

Step-by-step explanation:

2X + Y = 13

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

Subtract 2x from each side

2x-2x+y = -2x+13

y = -2x+13

Answer:

Step-by-step explanation:

g(-2) = -2(-2)^2 - 2(-2) = -2(4) + 4 = -8 + 4 = -4

f(-4) = 4(-4) + 1 = -16 + 1 = -15

Using algebraic expression, She needs to sell 150 / 5 = 30 T-shirts.

An algebraic expression is when we use numbers and words in solving a particular mathematical question. For example, the expression 2x + 3y is an algebraic expression, where x and y are variables.

Harper's fixed costs for starting the business are $150.

She earns $10 for each T-shirt sold, and she spends $5 on each T-shirt she buys.

So, her profit is $10 - $5 = $5 per T-shirt.

To break even, Harper needs to earn enough money from selling T-shirts to cover her fixed costs of $150.

Therefore, she needs to sell 150 / 5 = 30 T-shirts.

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Answer:

11.8% Decrease

Step-by-step explanation:

I googles it i am sorry if it's not right

The least positive number with this property is given as follows:

N = 280.

A number N gives remainder 0 when divided by 8, it gives remainder 0, when divided by 7 and it is an even multiple of 5, hence the number is multiple of these 3 numbers.

Before obtaining the number, we must obtain the least common multiple of 8, 7 and 5, factoring them by prime factors as follows:

8 - 7 - 5|2

4 - 7 - 5|2

2 - 7 - 5|2

1 - 7 - 5|5

1 - 7 - 1|7

1 - 1 - 1.

Hence:

lcm(8,7,5) = 2³ x 5 x 7 = 280.

280 is an even multiple of 5, as it is an even number, hence it is the least positive number N with the property in this problem.

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The correct calculation of the standard deviation of the sampling distribution of p_hat subscript s - p_hat subscript p is 0.0934.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

Percentage of students with laptop=68%

Percentage of professors with laptop=43%

p_s = 0.68 and p_p = 0.43.

Now,

The formula for the standard deviation of the sampling distribution of the difference between two sample proportions is:

sqrt[(p_s * (1 - p_s) / n_s) + (p_p * (1 - p_p) / n_p)]

where p_s and p_p are the population proportions of students and professors who have a laptop, respectively, n_s and n_p are the sample sizes of students and professors, respectively.

We are also given that 56 students and 31 professors were selected at random and asked if they have a laptop. Therefore, n_s = 56 and n_p = 31.

Substituting these values into the formula, we get:

sqrt[(0.68 * (1 - 0.68) / 56) + (0.43 * (1 - 0.43) / 31)]

sqrt[0.00367143 + 0.00505484]

= sqrt(0.00872627)

= 0.0934 (rounded to four decimal places)

Therefore, by standard deviation the answer will be 0.0934.

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The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:

Shift                              Morning     Midday     Afternoon     Evening   Total

Number of

salespeople assigned  1               3                  5                 7                16

b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.

The standard divisor shows the ratio of the total population to the number of seats.

The standard divisor gives an insight about the number of people each seat represents.

Standard divisor = Total number of customers / Total number of salespeople

The total number of customers = 1,425

The number of salespeople = 16

a) Standard divisor = 1,425 ÷ 16

= 89.0625

Shift                              Morning     Midday     Afternoon     Evening   Total

Average number of

customers                     125            280             460             560       1,425

Standard divisor      89.0625     89.0625      89.0625      89.0625

b) Modified divisor     1.4035        3.1438          5.165           6.288

Number of

salespeople assigned  1               3                  5                 7                16

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Line {m} is the line of reflection for the given geometry.

Given is a pair of heart shaped geometrical figures as shown.

It can be seen clearly that the line {m} forms the line of reflection for the given figure.

Therefore, line {m} is the line of reflection for the given geometry.

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Answer:

It will land 7.5 times on tails, which is rounded up to 8 times

Step-by-step explanation:

there are 2 possibilities, heads or tails

so you divide 15 in 2 and get 7.5

The coin will land 7 times tail based on the experimental probability.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

When the coin tossed 45 times.

Head= 24, tail = 21

So, fraction of appearing tail will be

= 21 / 45

= 0.466667

Now, if the coin tossed 15 times then the coin land on tails

= 15 x 0.466667

= 7

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The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

From the question, we have the following parameters that can be used in our computation:

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

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An equation of the line that passes the through point (0, 9) and has slope m = \(\frac{2}{3}\) is 3y-2x-27=0

What is point-slop equation of a line?

The point-slope equation of a line is

                      y - \(y_{1}\) = m ( x  -\(x_{1}\) )

The equation is useful when we know:

and want to find other points on the line.

Given that,

slope , m =  \(\frac{2}{3}\)  and passing through the point is (0,9)

An equation of a line given the slope and a point is

             y - \(y_{1}\) = m ( x  -\(x_{1}\) )

or          y - 9 =  \(\frac{2}{3}\) (x - 0)

or          y - 9 =  \(\frac{2}{3}\) x

or          y =  \(\frac{2}{3}\) x + 9

or          y = \(\frac{2x + 27}{3}\)

or          3y = 2x + 27

or         3y - 2x - 27 = 0

Hence, an equation of the line that passes the through point (0, 9) and has slope m = \(\frac{2}{3}\) is 3y-2x-27=0

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The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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