PLEASE help me math 50 points

Answer: y = -2x -2

Step-by-step explanation:

First, we want to find the slope. We can see that every time x goes up by one, y goes down by two. Slope is y/x, so we can say that the slope is -2/1 or just -2. Now we have y = -2x + b. To find b, we need to plug in one of the points in the chart. We will use (1, -4). So:

-4 = -2(1) + b

-4 = -2 + b

-2 = b

Therefore our b is -2, making the linear function equate to: y = -2x -2.

Answer:

m∠1 = 30°

m∠2 = 120°

m∠3 = 30°

w = 52

x = 104 (approximately)

y = 156 (approximately)

z = 180

Step-by-step explanation:

Step 1: Label your diagram with variables to make solving easier

Step 2: Solve for the missing degrees

Step 3: Solve for the missing side lengths

The capital gains his earned is $2,625

What is capital gains?
Capital gain is the profit obtained from the sale of assets whose value is higher or increased than when the asset was purchased.

The first is to calculate the difference price when selling and purchasing.

= ((100% + 20%) × $52.50) - $52.50

With the substitution formula, we can simplify it to:

= 20% × $52.50
= $10.5

Next is to multiply the difference price to share he purchased.

= $10.5 × 250
= $2,625

Thus, the capital gains his earned is $2,625

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The number of pieces of tiles that are needed to pave a path 5 m long and 1 m wide is; 20 tiles

We are told that the size of each piece of tile is 50 cm by 50 cm.

Now, we are told that the area that needs to be paved with tiles measures 5 m by 1m. Thus;

Converting the area that needs to be tiles to cm, we have;

5m = 500 cm

1m = 100 cm

Thus;

Area to be tiled = 500 * 100 = 50000 cm²

Area of each tile = 50 cm * 50 cm = 2500 cm²

Thus;

Number of tiles that are required to pave the given path = 50000/2500 =20 tiles

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The volume increase when the radius changes from 7 to 7.1 ft is 62.45 ft³ i.e. 4.34%. of the previous volume.

We know that the volume of the sphere is 4/3πr³.

So, here the radius of the sphere is 7 ft,

Therefore the volume of the sphere will be = 4/3π(7)³.

so, V1 = 4/3*3.14*(7)³.

V1 = 1436.76  ft³.

When the radius of the sphere will increase tp 7.1 feet then the volume will also increase which will be :

V2 = 4/3*3.14*(7.1)³.

V2 = 1499.21 ft³.

Now the increase in volume is V2- V1 .

which is , 1499.21 ft³ -  1436.76  ft³

i.e. 62.45 ft³ is the increase of the volume of the sphere.

This increased volume is the 4.34% of the previous volume of the sphere.

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The cost of another 2 panes of glass cost = $5.90.

A nurery owner buy 7 pane of glass to fix some damage to his greenhoue.

The 7 pane cost = ​$20. 65

First find the cost of one pane of glass (the "unit cost")

7 panes of glass cost $20.65, so one pane of glass costs

= 20.65 ÷ 7

= $2.95 ← cost of one pane of glass

Then use that answer to find the cost of two panes of glass

If one pane of glass costs $2.95, then 2 panes cost

= 2 × $2.95

= $5.90 ← cost of two panes of glass

Hence the answer is the cost of another 2 panes of glass cost = $5.90.

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Answer: 90%

Step-by-step explanation: 36 divided by 40 = 0.9 x 100 = 90

Answer: 201

Step-by-step explanation: Ok this is very simple for those of you who are stuck on this. First you divide 12 by 268. You would get 22 with a remainder of 4. This in fractions would be 22 1/3. So he would be driving 22 1/3 miles with 1 galloon of gas. If you multiply this by 9 you would get 201 miles which is how much he can drive in 9 gallons of gas.

Hoped this helped!

The solution to the system of equation in the graph is (3, 4)

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

In this problem, we simply need to look at where the lines intersect with one another and that will show us the solution to the equations.

If one carefully looks at this, the solution to this equations would be (3, 4)

This is because, at the point of intersection, the x - axis is at +3 and the       y-axis is at +4. This makes the solution to the system of equations (3, 4).

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The estimate should be 24 within a margin of error -4% with 90% confidence level.

In statistics, the margin of error is the degree of error in results from random sampling surveys. A wider margin of error in statistics suggests a reduced likelihood of relying on the results of a survey or poll, i.e. less trust in the results to represent a population.

A margin of error is a statistical parameter that compensates for the gap between actual and projected findings in a random survey sample. In layman's words, the margin of error measures the degree of unpredictability in data and research conclusions.

Given,

Confidence level=90%=0.90

Margin of error= -4%

α=1-0.9

α=0.1

α/2=0.05

P(z>[tex]z_{0.05}[/tex])=0.05

P(z>[tex]z_{0.05}[/tex])=1-0.05

P(z>[tex]z_{0.05}[/tex])=0.95

[tex]z_{0.05}[/tex])=1.96

Approximating P=0.5 and using E=0.2,

n=((1.96)²(0.5)(0.5))/(0.2)²

n=24.01

n=24

Therefore, the estimate should be 24 within a margin of error -4% with 90% confidence level.

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Answer:

y = 9280 - 20x

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Using the Pythagorean Theorem, 12² + 5² = 169 = ✓169 = 13

This is simply the way that one can find the missing length of a right angled triangle.

In this case, it should be noted that the theorem is in the form of:

a² + b² = c²

c = hypothenuse

a and b are the other sides

Based on the information given, this will be:

5² + 12²

= 25 + 144

= 169

Now the square root of 169 is ✓169 = 13.

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As the sample size gets larger, the z value increases therefore we will more likely to  less likely to fail to reject the null hypothesis, thus the power of the test increases.

Statistical tests provide a mechanism for making quantitative decisions about one or more processes. The intent is to determine whether there is sufficient evidence to "reject" speculations or hypotheses about the process. If you want to keep pretending that you "believe" the null hypothesis is true, then not rejecting it can do you good. Alternatively, it may indicate that there is not yet enough data to "prove" something by rejecting the null hypothesis. A classic application of statistical testing is process control studies. Suppose a manufacturing process is interested in  a photomask with an average linewidth of 500 microns. The null hypothesis in this case is that the average linewidth is 500 microns. This statement implies the need to characterize photomasks with average linewidths much larger or  smaller than 500 microns. This leads to the alternative hypothesis that the average linewidth is not equal to 500 microns. This is a two-way substitution as it protects against substitution in the opposite direction. In other words, the line width is either too small or too large.

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The solution is

a) 1.412

b) 0.662

What is the place value chart?

A place value chart is a table that is used to determine the value of each digit in a number based on its numerical position. We place the given number in the place value chart to examine the place value of each digit in order to precisely identify the worth of distinct digits in a number.

Given data ,

Let the number be A = 4.236 / 3

So , the number A = 1.412

So , in order to place the number in place value chart

The digit 1 is in ones place

The digit 4 is in tenths place

The digit 1 is in hundredths place

The digit 2 is in thousandths place

b)

Let the number be B = 1.324 / 2

So , the number is B = 0.662

So , in order to place the number in place value chart

The digit 0 is in ones place

The digit 6 is in tenths place

The digit 6 is in hundredths place

The digit 2 is in thousandths place

Hence , the place value chart of numbers 1.412 and 0.662 are solved

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Answer:

72.3

Step-by-step explanation:

72.381% as a recurring decimal using dot notation is 0.72381.

To express 72.381% as a recurring decimal using dot notation, we can follow these steps:

Convert the percentage to a decimal by dividing it by 100:

72.381% = 72.381 / 100 = 0.72381

Write the decimal part without the leading zero:

Decimal part: 0.72381

Place a dot above the repeating part of the decimal, which is the entire decimal in this case:

Decimal part with dot notation: 0.72381

Thus, 72.381% as a recurring decimal using dot notation is 0.72381.

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Answer:

1/6

Step-by-step explanation:

y-1 = -6x -18

y = -6x - 18 + 1

y = -6x -17

slope of the perpendicular line: 1/6

The actual width of dining room is 6m, if Tristan drew a scale drawing of an apartment. He used the scale 1 millimeter = 2 meters. In the drawing, the dining room is 3 millimeters wide.

The ratio that describes the relationship between the actual figure and its model is called the scale. It serves as a representation of the actual figures in smaller units on maps. A scale of 1:5, for instance, means that 1 on the map is equivalent to the size of 5 in the real world. A measurement on a model and its matching measurement on the real item are referred to as being on the same scale in mathematics. An organized system of numbering or indexing that serves as a measurement reference standard and in which each number is associated with a specific physical quantity.

Given,

Tristan drew a scale drawing of an apartment. He used the scale 1 millimeter = 2 meters. In the drawing, the dining room is 3 millimeters wide.

The actual width of dining room is 6m.

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Answer:

(3, 2)

Step-by-step explanation:

4x + 5y = 22

2x + 3y = 12

4x + 5y = 22

-4x - 6y = -24

-y = -2

y = 2

4x + 5(2) = 22

4x = 12

x = 3

Answer: (3, 2)

Using the normal distribution, it is found that there is a 0.5899 = 58.99% probability that on any given day it will take between 34 and 44  minutes to complete the task.

In a normal distribution with mean  and standard deviation, the z-score of a measure X is given by:

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

Mean of 40 minutes, hence μ =40 .

Standard deviation of 6 minutes, hence σ=6 .

The probability that on any given day it will take between 34 and 44  minutes to complete the task is the p-value of Z when X = 44

subtracted by the p-value of Z when X = 34, hence:

X = 44:

[tex]Z={\frac{x-\mu}{\sigma} }[/tex]

[tex]Z={\frac{44-40}{6} }[/tex]

  =4/6

Z =0.67 has a p-value of 0.7486

X = 34:

[tex]Z={\frac{x-\mu}{\sigma} }[/tex]

[tex]Z={\frac{34-40}{6} }[/tex]

Z=-6/6

Z=-1 has a p-value of 0.1587

0.7486 - 0.1587 = 0.5899.

0.5899 = 58.99% probability that on any given day it will take between 34 and 44  minutes to complete the task.

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The number of Swiss francs received for each pound decreased by 3.82%

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

200 pounds = 262 Swiss francs.

1 pound = 262/200 = 1.31 Swiss francs.

450 pounds = 567 Swiss francs.

1 pound = 567/450 = 1.26 Swiss francs.

Difference in Swiss francs received for each pound = 1.31 - 1.26= 0.05

% decrease = (0.05/1.31)*100 = 3.82%

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Answer:

12x² + 6xy - 30x

Step-by-step explanation:

Given expression,

→ 6x(2x + y - 5)

Simplifying the given expression,

→ 6x(2x + y - 5)

→ (6x × 2x) + (6x × y) - (6x × 5)

→ 12x² + 6xy - 30x

Thus, answer is 12x² + 6xy - 30x.

The correct graph of the given information is given by (A).

Let the number of pounds is = x

Given that, Shipping company A charges a flat fee of $7 plus $0.50 for each pound.

So the suitable equation of the shipping A is when the total charge is y, is given by,

y = 7 + 0.50x

Again it is given that Shipping company B charges a flat fee of $11 plus $0.25 for each pound.

So the suitable equation of the Shipping B is when the total charge is y, is given by,

y = 11 + 0.25x

Hence the correct graph is (A).

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The expression <√2 / 10, 7√2 / 10> is the unit vector of the vector <1, 7>.

Vectors are characterized by two features: Magnitude and direction. The magnitude represents the "quantity" contained by the vector and the direction indicates the distribution of the "quantity" along the orthogonal axes of the vector, that is, the x and y axes.

We can obtain the unit vector of any non-zero vector by dividing it by its magnitude. The magnitude can be found by using Pythagorean theorem. Now we proceed to determine the unit vector associated with vector <1, 7>.

First, determine the magnitude of the vector:

||[tex]\vec v[/tex]|| = √(1² + 7²)

||[tex]\vec v[/tex]|| = √50

||[tex]\vec v[/tex]|| = 5√2

Second, calculate the unit vector:

||[tex]\vec u[/tex]|| = (1 / 5√2) · <1, 7>

||[tex]\vec u[/tex]|| = <1 / 5√2, 7 / 5√2>

||[tex]\vec u[/tex]|| = <√2 / 10, 7√2 / 10>

The unit vector is <√2 / 10, 7√2 / 10>.

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The 90th percentile with a mean of 392 hours and a standard deviation of 9 hours is  403.538.

Given:

The lifetimes of light bulbs of a particular type are normally distributed with a mean of 392 hours and a standard deviation of 9 hours.

P(z<=?) = 0.90

z = 1.282

1.282 = x - mean / standard deviation

1.282 = x - 392 / 9

1.282 * 9 = x - 392

11.538 = x - 392

x = 392 + 11.538

x = 403.538.

Therefore the 90th percentile with a mean of 392 hours and a standard deviation of 9 hours is 403.538.

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The distance between the base to the summit of the mountain is 300 meters.

Here Given that,

Person climbs a mountain road from the bas to the summit at a speed of 45 m/min.

And

descends the same road from top to bottom at a speed of 60 m/min

Now,

The time difference between the climbing and descending is 20 min.

So, we can say that

Velocity v₁=45 m/min

Velocity v₂=60 m/min

Time difference ∆t=20 min

We have to find the distance between the base to the summit.

As we know,

The formula for average velocity is

∆v=∆x/∆t

v₂-v₁=∆x/∆t

60-45=∆x/20

∆x=15×20

∆x=300 meter

Hence,

it is 300 meters from the base to the summit of the mountain.

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The length of the side AD is 24 inches

Consider the triangle ABC

The area of the triangle = 288 square inches

The length of the side CD = 9 inches

The length of the side DB = 15 inches

The length of the the base = The length of the side CD + The length of the side DB

Substitute the values in the equation

The length of the the base  = 9 + 15

= 24 inches

The area of the triangle = (1/2) × Base × Height

Substitute the values in the equation

288 = (1/2) × 24 × AD

288 = 12 × AD

AD = 288 / 12

AD = 24 inches

Hence, the length of the side AD is 24 inches

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