Simplify, 14 √20 - 3 √125

Answer:

1. (2,5) 2. (-1,0) 3. (-3.5,-3.5)

Step-by-step explanation:

to solve these you need to take the x and y of each point and find the number in-between for example number 1 the x value is 3, and 1, the number in-between is 2. The way I like to do these is with a graph, place both points on the graph and connect them with a line find the middle of the line and that's your midpoint.

The required probability that the first lefty is the fifth person chosen is 0.074.

Probability is tied in with assessing or working out how likely or 'plausible' something is to occur. The opportunity of an occasion happening can be depicted in words, for instance 'certain', 'unimaginable' or 'probable'. In math, probabilities are constantly composed as portions , decimals or rates with values somewhere in the range of 0 and 1.

Probability of being left given = 0.13

Probability of being not left given = 1-0.13 =0.87

They select an example of five clients at irregular in their stores

So,

a). The main lefty is the fifth individual picked

Then,

Probability that first lefty is the fifth individual picked =

0.87×0.87×0.87×0.87×0.13 = 0.074

Thus, required probability is 0.074.

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Answer: Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.

Step-by-step explanation: The leg is the smallest number and the hypothenuse is the biggest nunber.

Answer:

Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.

Step-by-step explanation:

Answer:

10 outcome is the answer

Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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Answer:

\(1584cm^{3}\)

Step-by-step explanation:

\(((6+12)*8*\frac{1}{2} )*22\\=(18*8*\frac{1}{2} )*22\\=72*22\\=1584cm^{3}\)

The volume of the trapezoidal prism is 1584 m³.

Option C is the correct answer.

We have,

The volume of the trapezoidal prism.

_______(1)

Now,

Parallel sides = AB and DE

i.e

AB = 12 m

DE = 6 m

Height = DP = 8 m

Length = BC = 22 m

Substituting the values in (1).

1/2 x (sum of the parallel side) x height x length

= 1/2 x (12 + 6) x 8 x 22

= 18 x 4 x 22

= 18 x 44

= 1584 m³

Thus,

The volume of the trapezoidal prism is 1584 m³.

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Answer:

Sunglower I really want to help, but personally I do not know the answer, but if this answer is going percentage wise, the answer would be 1.6004

It would take about 40 seconds for the temperature to reach 70°C and 44 second to reach 74°C.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the temperature of the metal bar after x seconds, hence:

Since the metal bar has an initial temperature of 30°C, hence:

b = 30, also m = 1°C (increase), The equation becomes:

y = 1(x) + 30 = x + 30

To reach 70°C:

70 = x + 30

x = 40 seconds

To reach 74°C:

74 = x + 30

x = 44 seconds

It would take about 40 seconds for the temperature to reach 70°C and 44 second to reach 74°C.

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(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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The probability that the total is less than 11 when a 1) pair of dice is tossed is 1. 2) The number of permutations of 8 teams taken 5 at a time can be represented as P(8, 5) and can be calculated as 8!/(8-5)! = 8!/3! = (8 * 7 * 6 * 5 * 4)/(5 * 4 * 3 * 2 * 1) = 56.

When two dice are tossed, the maximum possible sum is 12 (when both dice show 6). Since we are interested in the probability that the total is less than 11, it means we are considering all the possible outcomes where the sum of the dice is less than 11.

We can analyze all the possible outcomes:

Summing up all the possible outcomes, we find that there are 36 possible outcomes when tossing a pair of dice. Since all the outcomes have a sum less than 11, the probability of getting a sum less than 11 is 1.

To find the number of different Top 5 Ranking lists possible with 8 college basketball teams, we need to calculate the number of permutations of the teams taken 5 at a time.

This can be done using the formula for permutations: P(n, r) = n!/(n-r)!, where n is the total number of items and r is the number of items being selected.

In this case, we have 8 teams and we want to select 5 teams. So, P(8, 5) = 8!/(8-5)! = 8!/3! = (8 * 7 * 6 * 5 * 4)/(5 * 4 * 3 * 2 * 1) = 56.

Therefore, there are 56 different Top 5 Ranking lists possible.

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in a regression with 7 predictors and 62 observations,The degrees of freedom for a t-test for each coefficient would use 55 degrees of freedom (df = 62 - 7 = 55).

The degrees of freedom for a t-test for each coefficient is calculated by subtracting the number of predictors (7) from the number of observations (62) in a regression with 7 predictors and 62 observations,. This leaves us with 55 degrees of freedom (df = 62 - 7 = 55). Degrees of freedom measure the number of observations that are free to vary in estimating a parameter. In other words, they are the number of observations that are used to generate the estimate. In this case, there are 55 observations that can be used to estimate each coefficient.

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You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

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Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?

Answer:

Combine like terms:

10y2 + 5ab

Step-by-step explanation:

Is your simplified algebraic expression.

Answer:

7

Step-by-step explanation:

!..........................

Step-by-step explanation:

\((1\frac{1}{3} )(1\frac{1}{2} )(1\frac{1}{5} )\\(\frac{4}{3} )(\frac{3}{2} )(\frac{6}{5} )\\(\frac{2}{1} )(\frac{1}{1} )(\frac{6}{5} )\\\frac{12}{5}\)

In the second step I made them all into simple fractions, just because that's easier.

In the third step I did a bit of cancelling to simplify everything as much as possible.

Answer:

\(\frac{12}{5}\)

The expressions in the context of this problem are given as follows:

In a mathematical context, an expression is defined as a statement containing a minimum of two numbers, or variables, or both and an operator connecting them.

The difference between an expression and an equation is that the expression does not have the equal symbol between them.

Hence the expressions in the context of this problem are given as follows:

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The herbalist needs to add 3 kilograms of golden chia to the 2 kilograms of ginseng to make the medicinal blend.

To solve this problem, we can use a system of equations. Let x be the number of kilograms of golden chia the herbalist needs to add to the 2 kilograms of ginseng.

The cost of the ginseng is 2 kg * $33.85/kg = $67.70.

The cost of the golden chia is x kg * $16.25/kg = $16.25x.

The total cost of the blend is ($23.29/kg) * (2 kg + x kg) = $46.58 + $23.29x.

Setting the cost of the ginseng and golden chia equal to the total cost of the blend, we get:

$67.70 + $16.25x = $46.58 + $23.29x

Simplifying this equation, we get:

$21.12 = $7.04x

Dividing both sides by $7.04, we get:

x = 3

Therefore, the herbalist needs to add 3 kilograms of golden chia to the 2 kilograms of ginseng to make the medicinal blend.
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The sample of 25 people interviewed by the sportswriter is not a Random sample. The correct answer is Option C. No, because not all residents of Columbus, Ohio have an equal chance of being selected.  

In statistics, sampling is the process of selecting a subset of individuals or units from a larger population to estimate or infer information about the population.

A random sample is a subset of individuals or units from a larger population that is selected in a way that every member of the population has an equal chance of being selected. In other words, a random sample is unbiased and represents the population as a whole.

In the given scenario, the sportswriter interviews the first 25 people who enter the stadium before a game in Columbus, Ohio to determine how strongly Columbus residents support building a new stadium for the local minor league baseball team.

Now, the question is whether this sample is a random sample or not.

The answer is "No, because not all residents of Columbus, Ohio have an equal chance of being selected," which is option C.

The reason is that the sportswriter only interviews the first 25 people who enter the stadium before the game. This means that the sample is not selected randomly from the entire population of Columbus residents, but only from the people who happened to be at the stadium at that particular time.

Moreover, people who attend minor league baseball games may not be representative of the entire population of Columbus residents. For example, people who attend baseball games may be more likely to support building a new stadium than those who do not attend such games.

Therefore, the sample of 25 people interviewed by the sportswriter is not a random sample and may not be representative of the entire population of Columbus, Ohio. The results of the survey based on this sample may not accurately reflect the opinions of all Columbus residents.

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Complete Question

A sportswriter wants to know how strongly Columbus, Ohio residents support building a new stadium for the local minor league baseball team. She stands outside the stadium before a game and interviews the first 25 people who enter the stadium. Is this a random sample?

A. Yes, because it gives very accurate results.

B. Yes, because all fans had a chance to be asked.

C. No, because not all residents of Columbus, Ohio have an equal chance of being selected.

D. No, because the sample size is not right.

By performing divsion in (4x² − 3x² + 7x + 2) ÷ (x-1/2), the resultant answer is x² + 7x + 2 ÷ (x-1/2) respectively.

The division is one of the four basic arithmetic operations or the process by which two numbers are added together to produce a new number.

Multiplication, addition, and subtraction make up the remaining operations.

The following formula can be used to determine the division of two numbers: Quotient plus the remainder is the dividend divisor.

The dividend in this situation refers to the number that is being divided.

The divisor is the number that divides the number (dividend) into equal parts.

So, we have:

(4x² − 3x² + 7x + 2) ÷ (x-1/2)

Now, divide as follows:

(4x² − 3x² + 7x + 2) ÷ (x-1/2)

(1x² + 7x + 2) ÷ (x-1/2)

x² + 7x + 2 ÷ (x-1/2)

Therefore, by performing divsion in (4x² − 3x² + 7x + 2) ÷ (x-1/2), the resultant answer is x² + 7x + 2 ÷ (x-1/2) respectively.

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Correct question:

Compute the division:

(4x² − 3x² + 7x + 2) ÷ (x-1/2)

V = 4/3 × 3 × 5^3

V = 4 × 125

V = 500 cm^3

Explanation: The y value does not change, so we have a rate of change of 0.

A slightly more lengthy explanation involves picking two points from this table. Each point is a different row.

Let's say we go with (5,-1) and (6,-1) as the two points.

Use them in the slope formula.

\((x_1,y_1) = (5,-1) \text{ and } (x_2,y_2) = (6,-1)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-1 - (-1)}{6 - 5}\\\\m = \frac{-1 + 1}{6 - 5}\\\\m = \frac{0}{1}\\\\m = 0\\\\\)

The slope is 0, so the rate of change is 0.

The line through the given points in the table is a flat horizontal line. All horizontal lines have slope 0.

Side note: in the slope formula, we can have 0 in the numerator. But we can never have 0 in the denominator (since division by zero is undefined).

Answer:

0

Step-by-step explanation:

Answer: Pretty sure it is perpendicular.

Step-by-step explanation:

If B is perpendicular to A and B and C are parallel, that means C is also perpendicular to A. Since D is perpendicular to C, it is parallel to A. E is perpendicular to D, so it goes back to perpendicular to A.

Answer: 4

Step-by-step explanation:

from point (0,-4), it goes up 4 and over 1, ending at point (1,0)

Answer:

4

Step-by-step explanation:

count the amount of spaces(or lines) to where the second point is(4) and the go right (1) 4/1 simplified is 4.

plz mark brainiest =)

Answer:

She would have to work 5 hours to make $105.

Step-by-step explanation:

First Step: Find Unit Rate

189/9 = 21

9/9 = 1

Every 1 hour she gets paid $21.

Step 2: Find how much she needs to work to get paid $105

105/21 = 5

Answer:

(625 • (x4)) -  28y4

 54x4 -  28y4 3.1      Factoring:  625x4-256y4  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  625  is the square of  25  

Check : 256 is the square of 16

Check :  x4  is the square of  x2  

Check :  y4  is the square of  y2  

Factorization is :       (25x2 + 16y2)  •  (25x2 - 16y2)  3.2      Factoring:  25x2 - 16y2  

Check :  25  is the square of  5  

Check : 16 is the square of 4

Check :  x2  is the square of  x1  

Check :  y2  is the square of  y1  

Factorization is :       (5x + 4y)  •  (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)

Answer:

1/8

Step-by-step explanation:

3/4 can be written as 6/8, -5+6 is 1 so the answer is 1/8.

Answer:

No

Step-by-step explanation:

If the line did pass through that point, then plugging in the point to the equation would be true. But when you plug in 4 for x, the y would be 18, not 15.

The line would not pass through point (4,15), if graphed in the coordinate plane

The equation of the line is given as:

y = 5x - 2

The coordinate of the point is given as:

(x,y) = (4,15)

Substitute 4 for x in the given equation.

So, we have:

\(y = 5 \times 4 - 2\)

Evaluate the product

\(y = 20 - 2\)

Evaluate the difference

\(y =18\)

Because the y value is not 15 as in (4,15), then the line would not pass through point (4,15)

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Answer:

\( \frac{ {x}^{ - 2} {y}^{ \frac{1}{2} } }{ \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{ {x}^{2} \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{6 {x}^{2}y \sqrt{x} } = \frac{1}{6 {x}^{ \frac{5}{2} } {y}^{ \frac{1}{2} } } = \frac{1}{6} {x}^{ - \frac{5}{2} } {y}^{ - \frac{1}{2} } \)

\( \frac{1}{6} \times - \frac{5}{2} \times - \frac{1}{2} = \frac{5}{24} \)