Marina needs to replace a broken window at her house. The window is shaped like a triangle with dimensions shown below. If glass cost 18.75 per square foot how much for the square replacement window cost?

Answer:

$37.92+$10=$27.92

so a money will each person get back is $27.92

Answer: It's in the picture.

Step-by-step explanation:

The probability that three out of four 6-sided number cubes land on a 3 is 0.01.

To calculate the probability, we need to determine the number of favorable outcomes (three cubes landing on 3) and divide it by the total number of possible outcomes. Each cube has six possible outcomes (numbers 1 through 6), so the total number of outcomes for four cubes is 6^4 = 1296.

To find the number of favorable outcomes, we can consider that there are four ways to choose which cube does not land on 3 (either the first, second, third, or fourth cube). For the remaining three cubes, each has a 1/6 probability of landing on a 3. Therefore, the number of favorable outcomes is 4 * (1/6)^3 = 4/216 = 1/54.

Finally, we divide the number of favorable outcomes by the total number of outcomes to get the probability: 1/54 ÷ 1296 = 1/54 ÷ (6^4) = 1/54 ÷ 1296 = 1/7776 ≈ 0.0001286. Rounded to two decimal places, the probability is approximately 0.01, or 1%.

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If a shuttle was launched every day, about 1 failures would one expect in 300 years.

Finding an estimate or approximation—a value that can be used for a purpose despite the possibility of incomplete, uncertain, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.

Here,

There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.

This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.

If a shuttle was launched every day, one might anticipate one failure every 300 years.

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Answer:

Tim salah mengatakan bahwa solusi dari sistem persamaan adalah (-6,-5). Apa

solusi yang benar? Kesalahan apa yang mungkin dilakukan Tim?

5g - 3j = -7

14 = j - 49

Answer:The correct answer is -4,-9.He said it was -9,-4.

Step-by-step explanation:

a)First, solve and regroup11=y-5xy=11+5x.Plug in:6x-2(5x+11)=-66x-10x-22=-6-4x-22=-6.-4x=16x=-4.Plug it: y=11+5(-4)y=11-20y=-9.x,y=-4,-9.b) The error Tim made is that he confused the x and y. 

Answer:

x = 22/15

Step-by-step explanation:

2.5(6x-4)=10+(1.5+0.5)

Combine like terms

2.5(6x-4)=10+(2)

2.5(6x-4)=12

Divide each side by 2.5

6x-4 = 4.8

Add 4 to each side

6x = 8.8

Divide by 6

6x/6 = 8.8/6

x = 88/60

x = 22/15

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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The standard deviation of the costs is 37 Dhs

The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.

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Answer:

86.28 ft²

Step-by-step explanation:

The figure given consists of a rectangle and a semicircle. The area of the figure = area of rectangle + area of semicircle

Area of rectangle =

Where,

l = 10 ft

w = 8 ft

Area of semicircle:

Area of semicircle = ½ of area of a circle = ½(πr²)

Where,

π = 3.14

r = ½ of 8 = 4 ft

Area of semi-circle = ½(3.14*4) = 6.28 ft²

Area of the figure = area of rectangle + area of semi-circle = 80 + 6.28 = 86.28 ft² (nearest hundredth)

The number of horizontal asymptotes that a function can have depends on its behavior as x approaches positive or negative infinity.

a) If the function approaches a specific value or constant as x approaches positive or negative infinity, it can have 0 horizontal asymptotes.

b) If the function approaches the same value or constant as x approaches positive or negative infinity, it can have 1 horizontal asymptote.

c) If the function approaches different values or constants as x approaches positive or negative infinity, it can have 2 horizontal asymptotes.

d) It is not possible for a function to have exactly 3 horizontal asymptotes. Asymptotes come in pairs, so the number of horizontal asymptotes can be 0, 1, 2, or 4.

e) It is not possible for a function to have exactly 4 horizontal asymptotes. Asymptotes come in pairs, so the number of horizontal asymptotes can be 0, 1, 2, or 3.

the correct options are:

a) 0

b) 1

c) 2

d) 3

e) 4

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The value of angle A , b and c are 81°, 8.6 and 6.6 respectively.

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

angle A = 180-(41+58)

= 180- 99

= 81°

therefore angle A = 81°

Using sine rule,

10/sin81 = b/sin58

10sin58 = b sin81

10×0.848 = 0.988b

b = 8.48/0.988

b = 8.6 (nearest tenth)

10/sin81 = c/sin41

csin81 = 10sin41

0.988b = 10× 0.656

0.988b = 6.56

b = 6.56/0.988

= 6.6( nearest tenth)

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Answer:

1g/25m

Step-by-step explanation:

divide both of them by 6 so one of them can be one

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There are 9 tables with 4 chairs in the restaurant.

Let's establish the variables:

Let x be the number of tables with 4 chairs

Let y be the number of tables with 5 chairs

Let z be the number of tables with 6 chairs

We know that there are a total of 19 tables, therefore:

x + y + z = 19 (equation 1)

We also know that the total number of people that can be accommodated in tables with 4 or 5 chairs is 64, therefore:

4x + 5y = 64 (equation 2)

We want to find the value of x, so we need to eliminate y from the equations above. We can do this by multiplying equation 2 by 4, and then subtracting it from equation 1:

x + y + z - 16x - 20y = 19 - 256

Simplifying:

-15x - 19y = -237

Dividing both sides by -19:

x = 9

Therefore, there are 9 tables with 4 chairs.

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Translated Question: Clear the selection Question 2: In a restaurant for 94 people there are 19 tables that can seat 4.5 or 6 people. If we know that the total number of tables with 4 or 5 chairs can accommodate 64 people, how many tables have 4 chairs?

The length of the side CD of the triangle is 12.686 cm up to 3 significant figures.

We know from the information that

AB = 6cm AC = 12cm

Now we have to calculate the length of DC

From given figure, we have,

In Δ ACB,

CA² = BA² + BC² (By using Pythagoras theorem)

12² = CB²+ 6²

CB² = 12² - 6²

CB² = 144 - 36

CB² = 108

∴ BC = √( 108) cm.

Now consider, in Δ CBD,

as, we know that from trigonometric ratios , sin x = opposite side / hypotenuse

sin 55° = BC / DC

0.81915 = √108 / DC

DC = 10.392 / 0.81915

⇒ DC = 12.68632...

∴ DC ≈ 12.686 cm

Therefore the length of the side DC is approximately 12.686 cm up to 3 significant figures.

Disclaimer: The missing image of the triangle is attached below.

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Answer:

\(x\approx 7.0\)

Step-by-step explanation:

Since we are given a right triangle, we can use right trigonometric ratios.

x is the opposite side to our angle. 10 is the adjacent side to it. Thus, we can use the tangent ratio:

\(\displaystyle \tan(\theta^\circ)=\frac{\text{opposite}}{\text{adjacent}}\)

Substitute:

\(\displaystyle \tan(35^\circ)=\frac{x}{10}\)

Solve for x:

\(x=10\tan(35^\circ)\)

Use a calculator:

\(x=7.0020...\approx 7.0\)

x=7 yards

Answer:

Solution Given:

Opposite = x

base=10yards

and angle is 35°

we know that

relationship between opposite and base is given by Tan angle

so

Tan 35°= opposite/base

Tan 35°*10=x

x= 7.002

x≈7 yards

Answer:

Ryan had a head start of 10 meters

Answer:

Ryan had a head start of 10 meters.

Have a great day!

Step-by-step explanation:

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The area inside the ellipse can be computed using Green's theorem, which relates the area of a region to a line integral over its boundary.

To apply Green's theorem, we need to parameterize the boundary of the ellipse. Using x(t) = 13cos(t), we can express y in terms of t as y(t) = 6sin(t).

Next, we compute the derivatives dx/dt and dy/dt:

dx/dt = -13sin(t)

dy/dt = 6cos(t)

Substituting these values into the line integral formula, we have:

(1/2) ∫∂D (-ydx + xdy) = (1/2) ∫₀²π (-6sin(t)(-13sin(t)) + 13cos(t)(6cos(t))) dt

= (1/2) ∫₀²π (78sin²(t) + 78cos²(t)) dt

= (1/2) ∫₀²π 78(dt)

= 39π

Thus, the area inside the ellipse, computed using Green's theorem, is 39π square units.

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Answer:

(x+4)(x+12)

Step-by-step explanation:

Answer:

(x +4) (x+12)

Step-by-step explanation:

product 48

Sum 16 ( 12 and 4)

(x2 +12x) +(4x +48)

=(x+4) (x+12)

Answer:

x =5

Step-by-step explanation:

2(5x – 2) – 2x– 2 = 34

Distribute

10x-4-2x-2 = 34

Combine like terms

8x -6 = 34

Add 6 to each side

8x-6+6 = 34+6

8x = 40

Divide by 8

8x/8 = 40/8

x =5

Answer:

x=5

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The mean score for the game is 11/6.

To find the mean score for the quiz, we need to find the average score Olivia would get if she played the game many times.

The probability of Olivia selecting a circle is 3/6 or 1/2. The probability of selecting a square is 2/6 or 1/3. The probability of selecting a diamond is 1/6.

So, on average, if Olivia played the game many times:

- She would score 1 point half of the time (when she selects a circle)
- She would score 2 points one-third of the time (when she selects a square)
- She would score 4 points one-sixth of the time (when she selects a diamond)

To find the mean score, we multiply each possible score by its probability, and then add the products:

Mean score = (1 x 1/2) + (2 x 1/3) + (4 x 1/6)

Mean score = 1/2 + 2/3 + 2/3

Mean score = 11/6

Therefore, the mean score for the quiz is 11/6.
To calculate the mean score for the game, we need to find the probability of each card being chosen and then multiply those probabilities by the scores associated with each card. Finally, we'll sum up those values.

1. Probability of selecting a circle: 3 circles / 6 total cards = 1/2
2. Probability of selecting a square: 2 squares / 6 total cards = 1/3
3. Probability of selecting a diamond: 1 diamond / 6 total cards = 1/6

Now, multiply the probabilities by their respective scores:

1. Circle: (1/2) * 1 point = 1/2 points
2. Square: (1/3) * 2 points = 2/3 points
3. Diamond: (1/6) * 4 points = 4/6 points = 2/3 points

Lastly, add up the values:

Mean score = (1/2) + (2/3) + (2/3) = (3/6) + (4/6) + (4/6) = 11/6

So, the mean score for the game is 11/6.

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

The final resultant expressions are  3.9 - 0.8 x , 1.5 + t+0.66 x ,

77/5 k - 3m.

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given expressions,

-2.5x+3.9 + 1.7x

3.9 + 1.7x-2.5x

3.9 - 0.8 x

1  1/2 + t + 2/3 s

= (2+1) / 2 + t+ 2/3  s

= 3/2 + t + 2/3 s

= 1.5 + t+0.66 x

15k+2/5 k -3m

k(15+2/5 ) - 3m

k (75 + 2 / 5 )  - 3m

77/5 k - 3m

Hence, The final resultant expressions 3.9 - 0.8 x , 1.5 + t+0.66 x ,

77/5 k - 3m

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The given expression is

We just have to evaluate each answer choice to see which one satisfies the given equations.

For (3,-11)

This result is false, since those numbers are not equivalent.

For (3,11)

In this case, the point (3,11) satisfies the equation because we got a true result.

The Null hypothesis would be rejected in favor of an alternative hypothesis, indicating that the type of water used does have an effect on plant growth.

The gardener is testing whether using rainwater instead of tap water would lead to faster plant growth, the null hypothesis (H₀) is a statement that assumes no significant difference or effect between the two variables being compared. In this case, the null hypothesis would state that there is no difference in plant growth between using rainwater and tap water.

The null hypothesis for this scenario can be formulated as follows:

H₀: There is no significant difference in the growth rate of house plants when using rainwater compared to tap water.

This null hypothesis assumes that the type of water used (rainwater or tap water) has no impact on the growth rate of the house plants. It suggests that any observed differences in growth between the two groups (rainwater and tap water) are due to chance or random variation.

When conducting an experiment or study, the purpose is to gather evidence to either support or reject the null hypothesis. If the evidence suggests a significant difference in plant growth between using rainwater and tap water, the null hypothesis would be rejected in favor of an alternative hypothesis, indicating that the type of water used does have an effect on plant growth.

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Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

The length of HE is 4 units.

Given that GH is tangent to both circle A and circle E, we can use the property of tangents that states that a tangent line to a circle is perpendicular to the radius drawn to the point of tangency.

If we let r be the radius of circle A and circle E, and let HE be the length of the line segment from the center of the circles to the point of tangency, we can use the Pythagorean Theorem to determine the length of HE.

The Pythagorean theorem is a fundamental result in mathematics that states that in a right 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 lengths of the other two sides.

Since GH is tangent to both circles, it is perpendicular to the radius of both circles and we can create a right triangle with legs HE and r. We can use the Pythagorean theorem to find the length of HE

HE^2 + r^2 = GH^2

We can use the information given to find the value of GH, then we can solve for HE using the equation above.

We know that GH is tangent to both circles, which means that GH is equal to the diameter of both circles. So GH = 2r

Substituting this value into the equation above:

HE^2 + r^2 = (2r)^2

HE^2 = 2r^2 - r^2 = r^2

HE = √(r^2) = r

Given that HE = r and r = radius of circle A and Circle E, HE = radius of Circle A = radius of Circle E.

Therefore, the length of HE = radius of Circle A or Circle E = 4 units.

So, the length of HE is 4 units.

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Answer:

D. Experimentation, Addiction, Tolerance, Recovery

Explanation:

First all the drug addicts try the drug, also refereed as experimentation.

Then they soon get addicted to it because it contains harmful substances attracting it and cannot control themselves.

Then tolerance which means, endure pain and resist from taking the drug.

Then the person gradually recovers and starts living off without the drug.