type the equation of a line that has the following properties.



contains the points (-3,5) and (-1,6)​

Answer:

should be 2.24. I am sorry if I am wrong

Step-by-step explanation:

31.36÷14=2.24

Answer: 7

Step-by-step explanation:

Patricia has  6 cans of almonds that each contain eight 1/3 cup servings, meaning that Patricia has a total of

6 cans x 8 servings x 1/3 cup = 16 cups of almonds

If she needs 2.25 cups of almonds, that would be equal to

16/2.25 = around 7.1

since you can't have a fraction of a snack bag, Patricia just has 7 snack bags.

Answer:

a

Step-by-satep explanation:

just took it

Answer:

400,000

Step-by-step explanation:

➟ 10 × 4 ten thousand

Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000

➟ 10 × 40,000

➟ 400,000

Pythagoras - Has a theorem named after him

Thales - Contributed to the five basic theorems of geometry

Pythagoras was a Greek philosopher, mathematician, and founder of the Pythagorean school of philosophy. He lived in the 6th century BCE on the Greek island of Samos and is known for his contributions to mathematics, geometry, music, and philosophy.

Pythagoras is most famous for the theorem that bears his name, the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is fundamental to the study of geometry and has applications in many fields, from architecture to physics.

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The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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The center of the hanger represents an equal sign, since both sides of the hanger are equal.

Given different coloured triangles and shapes, we can assign a variable to each of them.

Let one green triangle be equal to \(a\).

Let one blue square be equal to \(b\)

Let one red circle be equal to \(c\).

Let one yellow pentagon be equal to \(d\).

On the left side of the hanger/equation, there are 3 green triangles. This means that one of our terms in our equation will be \(3a\).

Under the triangles on the left side is 1 blue square. This means that the next term could be \(1b\), or just \(b\).

Next is 2 red circles ⇒ \(2c\)

And finally are 3 yellow pentagons ⇒ \(3d\)

To sum up the left side as an expression, we can write all the terms we have just written as a sum:

\(3a+b+2c+3d\)

Now, after doing the same procedure for the right side of the hanger, we get:

\(2a+3b+c+2d\)

For now, we only have two expressions representing the two sides of the hanger:

Left: \(3a+b+2c+3d\)

Right: \(2a+3b+c+2d\)

To turn these into an equation, we must have an equal sign.

Remember that both sides of the hanger are equal. Knowing this, we can state the following:

Left side = Right side

\(3a+b+2c+3d = 2a+3b+c+2d\)

\(3a+b+2c+3d = 2a+3b+c+2d\)

Answer:63M N 56

Step-by-step explanation:

Answer:

1 , -3/2

Step-by-step explanation:

The denominator should be greater than 0 , so that ,

=> 2m² + m - 3 > 0

=> 2m² + 3m - 2m -3 > 0

=> m( 2m +3) -1 (2m+3) > 0

=> (m-1)(2m +3) > 0

=> m > 1 , -3/2

Hence it is not defined at -3/2 ,1

Given the following cost:

Base price = $31.145

Folding rear seat = $325

Front leather trim split-bench seat = $125

Sport package = $690

Tow package = $650

Block heater = $85

Optional 4-wheel drive = $950

Destination charge = $852

Let's find the stricker price.

To find the sticker price of the SUV, let's sum up all the listed prices.

We have:

Sticker price = Base price + Folding rear seat + From leather trim + sport package + tow package + block heater + optional 4 wheel drive + destination charge

Thus, we have:

Sticker price = $31.145 + $325 + $125 + $690 + $650 + $85 + $950 + $852

Sticker price = $3708.145

Therefore, the SUV's sticker price is $3708.145

ANSWER:

$3,708.145

Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

Answer:

he has 37 chairs.

steps:

4 x 6 = 24

24 + 13 = 37

In total Liam has 37 chairs.

Step-by-step explanation:

y=mx +c

given c = -8

a pont on line (-2,4)

subs all given info in formula to find m, the slope

Answer: We can simplify the expression inside the absolute value first:

|(sqrt(2) + 3 - 5)|

= |(sqrt(2) - 2)|

Since sqrt(2) > 2, we know that sqrt(2) - 2 is negative. Therefore, we can rewrite the absolute value as a negative:

|sqrt(2) - 2| = -(sqrt(2) - 2)

So the expression without absolute value is:

-(sqrt(2) - 2)

Step-by-step explanation:

Answer:

By comparing all the expressions with the formula (a - b)(a + b) = (a² - b²), we find that c, d and e options are correct.

Step-by-step explanation:

Concept: The condition is that, the product should result in a difference of squares. In mathematics, we have such a formula which is (a - b)(a + b) = (a² - b²). So, we need to compare all the options with this relation.

(x - y)(y - x) = -(x² - 2xy + y²)

(6 - y)(6 - y) = 36 - 12y + y²

(3 + xz)(-3 + xz) = (xz + 3)(xz - 3) = x²z² - 9 . This expression is correct

(y² - xy)(y² + xy) = \(y^{4} - x^{2} y^{2}\). This expression is correct

(64y² + x²)(-x² + 64y²) = (64y² + x²)(64y² - x²) = \(4096y^{4} -x^{4}\). This expression is correct.

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Answer:

\(d = \frac{w}{48}\)

If  \(\frac{1}{48} \\\) is constant, say k

Then,

\(d = kw\)

∴ d ∝ w

Hence, weight is proportional to the density

Step-by-step explanation:

From the question,

Let w denote the weight of the rock in pounds

s denote the size of the rock in cubic inches and

d denote the density of the rock in pounds per cubic inch.

First, we will write the equation connecting w, s, and d.

We get

\(density (pounds/inch^{3} ) = \frac{weight(pounds)}{size (inch^{3}) }\)

That is,

\(d = \frac{w}{s}\)

Now, given a 48-cubic-inch rock with weight w pounds, to show the proportional relation between the weight and the density, we will write

\(d = \frac{w}{48}\)

If  \(\frac{1}{48} \\\) is constant, say k

Then,

\(d = kw\)

∴ d ∝ w

Hence, density is proportional to the weight OR weight is proportional to the density

Answer:

C. Through a given point not on a given line, there is exactly one line parallel to the given line.

Step-by-step explanation:

hope i helped

Answer:

Look down

Step-by-step explanation:

Thanks for reaching out for assistance! Based on the context you provided, it seems like the correct answer is C. Playfair's axiom states that there is exactly one line parallel to a given line that can be drawn through a point not on it. I hope this helps! Let me know if there's anything else I can do for you.

Answer:

Step-by-step explanation:

The given hexagon has interior angles

x,x,x, x/2, x/2, x/2 for a total of S1=4.5x.

We also know that the sum of interior angles of any polygon of n sides is

S2=180(n-2)

For a hexagon, S2 = 180(6-2) = 720°.

Equating S1 and S2

4.5x = 720

x = 720/4.5 = 160.

Therefore substitute x in the given angles to get

{160°,160°.160°,80°,80°,80°}

Answer: 5.8%

Step-by-step explanation: .

Plug in the value of p:-

16+2q=40

Subtract 16 from both sides:-

2q=40-16

2q=24

Divide both sides by 2:-

q=12 ✓

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

$181.4

Step-by-step explanation:

Note,

Therefore, the store applied a discount price of $181.4 to the set of golf clubs.

(a) At 90% confidence Interval, the value will be 79.81.

(b) A reliability coefficient of 0.90 means that there is a probability of 0.90 that the interval estimator constructed using this coefficient contains the population parameter.

(c) At 95% the value is 79.53.

(d) the width of a confidence interval as the value of the confidence coefficient is increased.

(e) the condition guarantees that the sampling distribution of x is approximately normal.

(a) 100 -90 = 10

10/2 = 5

5/100 = 0.05

Use calculator for z score (2nd)+(VARS)+(3InvNorm)+(.percentage)

(2nd)+(VARS)+(3InvNorm)+(0.05) =1.64

Use Q/Sqrt(n) * Z Score + x(bar) (upper Bound)

8.5/Sqrt(100) * 1.64 + 81.2 (upper Bound) =82.59

Use 8.5/Sqrt(100) * 1.64 -81.2 (lower bound) = 79.81

(b) When you say that a confidence coefficient is 0.90 we mean that

A reliability coefficient of 0.90 means that there is a probability of 0.90 that the interval estimator constructed using this coefficient contains the population parameter.

(c) Use calculator for z score (2nd)+(VARS)+(3InvNorm)+(.percentage)

(2nd)+(VARS)+(3InvNorm)+(0.025) =1.96

Use Q/Sqrt(n) * Z Score + xbar (upper Bound)

8.5/Sqrt(100) * 1.96 + 81.2 (upper Bound) =82.87

Use 8.5/Sqrt(100) * 1.96 -81.2 (lower bound) = 79.53

(d) The confidence coefficient is increased while the sample size is held​ fixed is an increase , critical value. increase.

(e) ​Yes, since the sample sizes are large (n≥​30) and randomly selected from the target​ population, the condition guarantees that the sampling distribution of x is approximately normal.

Complete Question:

A random sample of 36 observations from a normally distributed population possesses a mean equal to 17 and a standard deviation equal to 6.

Use this information to complete parts a through e below.

a. Find a 90​% confidence interval for μ.

b. What do you mean when you say that a confidence coefficient is 0.90​?

c. Find a 95​% confidence interval for μ.

d. What happens to the width of a confidence interval as the value of the confidence coefficient is increased while the sample size is held​ fixed?

Increasing the confidence coefficient while keeping the sample size fixed will cause an increase in the critical value. This means that the width of the confidence interval will increase.

e. Would your confidence intervals of parts a and c be valid if the distribution of the original population were not​ normal? Explain.

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Answer:

1) 5
2) 0.8
3)  -1.3

4) -\(\frac{4}{9}\)

5) ±10

6) ±\(\frac{7}{12}\)

Step-by-step explanation:

The domain and the range of each relation shown in the mapping and in the table of values given can be written as:

Mapping - Domain: {-2, -1, 0, 1}; Range: {-4, -2, 2}

Table - Domain: {-4, -2, 1, 4}; Range: {-2, 1, 4}

(See image attached below).

Recall:

From the mapping shown in the image given, the domain values are:

-2, -1, 0, 1

The range values are:

-4, -2, 2

From the table of values shown in the image given, the domain values are:

-4, -2, 1, 4

The range values are:

-2, 1, 4

Therefore, the domain and the range of each relation shown in the mapping and in the table of values given can be written as:

Mapping - Domain: {-2, -1, 0, 1}; Range: {-4, -2, 2}

Table - Domain: {-4, -2, 1, 4}; Range: {-2, 1, 4}

(See image attached below).

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Answer:

Step-by-step explanation:

a) If a driver uses a full tank of gas every day, the fraction of a tank he will use in 3 days is 3/1, or 3/1 of a tank.

b) If a driver uses a full tank of gas every day, the fraction of a tank he will use in 1 week is 7/1, or 7/1 of a tank.

It's worth noting that tanks of gas come in different sizes, so the amount of gas consumed in a day, week, or any other period of time will depend on the size of the tank, and the consumption of the car, so this answer is based on the assumption that a full tank is used every day.

Answer:

675 devided bye 9 = 75

Step-by-step explanation:

Answer: 75 words per minute

Step-by-step explanation:

We can set this problem up similar to a ratio
675:9
Knowing that this is for 9 minutes, dividing by 9 will give you the amount per one minute
675/9   9/9
75:1 or 75 words per minute