The average sale price of new one family houses in the United States for a recent year was $238,100. Find the range of values in which at least 88. 89% of the fake prices will lie if the standard deviation is $53,500

Answer:

663.

Step-by-step explanation:

Salvador can order the row in 30,240 different ways.

3. To find the number of ways to choose 2 names out of 7 unique names, we can use the combination formula. The number of combinations of choosing 2 items from a set of \(\( n \)\) items is given by:

\(\[C(n, k) = \frac{{n!}}{{k!(n-k)!}}\]\)

In this case, we want to choose 2 names out of 7, so\(\( n = 7 \) and \( k = 2 \).\) Substituting the values into the formula:

\(\[C(7, 2) = \frac{{7!}}{{2!(7-2)!}} = \frac{{7!}}{{2!5!}} = \frac{{7 \times 6}}{{2 \times 1}} = 21\]\)

Therefore, there are 21 different orders in which 2 names can be chosen from the 7 unique names.

4. Salvador has 10 cards with numbers on them, including duplicates. To find the number of ways he can order the row, we can use the concept of permutations. The number of permutations of \(\( n \)\) objects, where there are \(\( n_1 \)\) objects of one kind, \(\( n_2 \)\) objects of another kind, and so on, is given by:

\(\[P(n; n_1, n_2, \dots, n_k) = \frac{{n!}}{{n_1! \cdot n_2! \cdot \ldots \cdot n_k!}}\]\)

In this case, there are 10 cards in total with the following counts for each number: 1 card with the number 2, 1 card with the number 3, 1 card with the number 4, 2 cards with the number 5, and 5 cards with the number 7. Substituting the values into the formula:

\(\[P(10; 1, 1, 1, 2, 5) = \frac{{10!}}{{1! \cdot 1! \cdot 1! \cdot 2! \cdot 5!}}\]\)

Simplifying the expression:

\(\[P(10; 1, 1, 1, 2, 5) = \frac{{10!}}{{2! \cdot 5!}} = \frac{{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5!}}{{2 \cdot 1 \cdot 5!}} = 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 = 30,240\]\)

Therefore, Salvador can order the row in 30,240 different ways.

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Answer:

32 miles

Step-by-step explanation:

I just took away 16 from 48 and I got 32

Answer:

16 + x = 48; x = 32 miles

Step-by-step explanation:

because the total is 48 miles that is on the right with an equal sign to the left of it

the x represents how much left she has to travel

she already traveled 16 miles so you add that to x on the left

16 + x = 48

then you can subtract 16 on both sides and be left with 32 miles

Answer:

1887.6 ft³

Step-by-step explanation:

What is the volume of a cylinder with a height of 6.8 ft and a base with a radius of 9.4 ft, to the nearest tenth of a cubic foot?

The formula for the volume of a cylinder is given as:

πr²h

From the above question,

r = 9.4 ft

h = 6.8 ft

The volume of the cylinder =

π × 9.4² × 6.8

= 1887.61966 ft³

Approximately = 1887.6 ft³

Answer:

x = -72

Step-by-step explanation:

So first you need to get x on its own, so you you need to get rid of -16 by adding +16 which you get 0.

so now x=-88

whatever you do on one side you do on the other, so add 16 to the other side (-88) so you get -72.

x = -72

so the answer is -72

Thank you <3

Answer:

does anyone else miss their best friend ?? :C

Step-by-step explanation:

ZACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK COMEEEEEEEE BACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answer:

U okay?

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The y-intercept is 12 because it is at the end without a variable. If you follow the equation y=mx+b Then it would be that 12 is b. The slope is one with the variable behind it and the y-intercept is the one without no variable.

a) The mass of the cube is approximately 0.76755 kg.

b) The buoyant force acting on the cube is approximately 31.70024 N.

To determine the mass of the cube and the buoyant force acting on it, we can use the principles of buoyancy and the given information.

Let's start by finding the volume of the cube:

Volume of the cube = (side length)^3

Volume of the cube = (15.0 cm)^3

Volume of the cube = 3375 cm^3

Since the cube is 72% submerged in water and 28% submerged in oil, we can calculate the volumes of water and oil displaced by the cube.

Volume of water displaced = 0.72 * Volume of the cube

Volume of water displaced = 0.72 * 3375 cm^3

Volume of water displaced = 2430 cm^3

Volume of oil displaced = 0.28 * Volume of the cube

Volume of oil displaced = 0.28 * 3375 cm^3

Volume of oil displaced = 945 cm^3

Now, let's convert the volumes to the same units (meters) as the given oil density:

Volume of water displaced = 2430 cm^3 * (1 m / 100 cm)^3

Volume of water displaced = 0.00243 m^3

Volume of oil displaced = 945 cm^3 * (1 m / 100 cm)^3

Volume of oil displaced = 0.000945 m^3

Next, we can calculate the mass of the cube using the density of the oil:

Mass of the cube = Density of oil * Volume of oil displaced

Mass of the cube = 810 kg/m^3 * 0.000945 m^3

Mass of the cube = 0.76755 kg

Therefore, the mass of the cube is approximately 0.76755 kg.

To find the buoyant force acting on the cube, we can use Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object.

Buoyant force = Density of fluid * Volume of fluid displaced * Acceleration due to gravity

For the water:

Buoyant force in water = Density of water * Volume of water displaced * Acceleration due to gravity

Buoyant force in water = 1000 kg/m^3 * 0.00243 m^3 * 9.8 m/s^2

Buoyant force in water = 23.7254 N

For the oil:

Buoyant force in oil = Density of oil * Volume of oil displaced * Acceleration due to gravity

Buoyant force in oil = 810 kg/m^3 * 0.000945 m^3 * 9.8 m/s^2

Buoyant force in oil = 7.97484 N

Since the cube floats between the water and oil, the total buoyant force acting on the cube is the sum of the buoyant forces in water and oil:

Total buoyant force = Buoyant force in water + Buoyant force in oil

Total buoyant force = 23.7254 N + 7.97484 N

Total buoyant force = 31.70024 N

Therefore, the buoyant force acting on the cube is approximately 31.70024 N.

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A cube of side length 15.0 cm and made of unknown material floats at the surface between water and oil. The oil has a density of 810 kg/m3.

If the cube floats so that it is 72 % in the water and 28 % in the oil, what is the mass of the cube?

What is the buoyant force of the cube?

Answer:

20

Step-by-step explanation:

use ur head

DG, DM, DS, DT GD, GM, GS, GT MD, MG, MS, MT, SD, SG, SM, ST, TD, TG, TM, TS. Those are all the possible combinations using each letter only once in each set.

In short, you can make 20 sets.

Answer:

x = 55° (nearest degree)

Step-by-step explanation:

Trig ratios:

\(sin(\theta)=\dfrac{O}{H} \ \ \ cos(\theta)=\dfrac{A}{H} \ \ \ tan(\theta)=\dfrac{O}{A} \ \ \\)

where \(\theta\) is the angle, O is the side opposite the angle, A is the side adjacent to the angle, and H is the hypotenuse of a right triangle

Given:

\(\implies cos(x)=\dfrac{3.3}{5.7}\)

\(\implies x=\arccos \dfrac{3.3}{5.7}=54.623459...\)

⇒ x = 55° (nearest degree)

Answer:

54.6° OR 55° rounded up.

Step-by-step explanation:

So it is a fact that 3.3 is adjacent to x. And 5.7 is the hypotenuse.

Now, let's think of SOHCAHTOA: *Always remember that*

SOH: Sin = Opp/Hyp

CAH: Cos = Adj/Hyp

TOA: Tan = Opp/Adj

We will be using CAH since we have the adjacent and the hypotenuse.

Now, you need to plug in the numbers to the correct placement, in this case, it will look like this:

Cos(x) = 3.3/5.7

*If I were you, I'd use a Cosine calculator online or just your handy-dandy standard calculator because you can't just plug in 3.3/5.7 like that and expect to get the answer.*

*In order to find the cosine on a regular calculator, you must press the inverse button, followed by the cos button. Or just use the "arccos" button if it's on there*

REMEMBER SOHCAHTOA FOR THE FUTURE

A) The expected number of broken eggs is 3.6

B) The standard deviation is 1.8

Given:

Given that a grocery supplier believes that the mean number of broken eggs per dozen is 0.6 with a standard deviation of 0.3.

Here we assume the cartons of eggs are independent

a) Mean value of eggs in 6 dozens = 6 Expected value in 1 dozen

= 6(0,6)=3.6

b) Var(6x)(here 6 dozens)

= 36var(x) (assumig independent)

Otherwise we have Var(x1+x2+x3+...)=sum of var of xis + cov (xi,xj)

Thus we have to assume independent to avoid covariance

So Var(6x)=36 Var(x)

STd dev for 6 dozens = 6(0,3) = 1.8

Hence we get the required answer.

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Answer:

what  do you mean im confused

Step-by-step explanation:

Answer:

22222233

Step-by-step explanation:

The Christmas tree will be 50 feet tall for the blueprint below to work

Find the diagram attached;

Given the following parameter:

Using the similarity theorem of a triangle;

100/(1+1) = H/1

100/2 = H/1

50 = H

H = 50

Hence the Christmas tree will be 50 feet tall for the blueprint below to work

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Answer:

Angles on a straight line add up to 180°

a = 180° - 29°

a = 151°

The temperature at midnight is 55.4  degrees Fahrenheit

The information that completes the question is "At what temperature is the building at midnight?"

The function is given as:

f(t) = -8.3cos(π/5)t + 63.7

At midnight, t = 0.

So, we have:

f(0) = -8.3cos(π/5) * 0 + 63.7

Evaluate the product

f(0) = -8.3cos(0) + 63.7

Evaluate the expression

f(0) = 55.4

Hence, the temperature at midnight is 55.4  degrees Fahrenheit

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Using a proportional relationship, it is found that her speed is of 35 meters per minute.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

The line goes through point (40, 1400), hence the constant is:

k = 1400/40 = 35.

Thus her speed is of 35 meters per minute.

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the image (new coordinate) after the translation is (-2.5, 9.8)

Here we have a rule (also called a transformation or an operator) that works as:

T(x, y) = (x - 7.5, y + 6.8)

So we decrease the x-value by 7.5 and increase the y-value by 6.8. This is a translation of 7.5 units to the left and 6.8 units upwards.

Now, our point is (5, 3), if we apply that transformation we will get:

T(5, 3) = (5 - 7.5, 3 + 6.8) = (-2.5, 9.8)

That is the image after the translation.

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The answers are:

a) The z-score for a light bulb that lasts 500 hours is -10.

b) For a sample of 20 light bulbs, the probability that the average lifespan will be less than 980 hours is approximately 0.0367, or 3.67%.

c) The z-score for a light bulb that lasts 400 hours is -12. This is even more unusual than a lifespan of 500 hours.

d) Given the lifespan follows a normal distribution with a mean of 1000 hours, 50% of the light bulbs will have a lifespan less than 1000 hours.

a) The z-score is calculated as:

z = (X - μ) / σ

Where X is the data point, μ is the mean, and σ is the standard deviation. Here, X = 500 hours, μ = 1000 hours, and σ = 50 hours. So,

z = (500 - 1000) / 50 = -10.

The z-score for a bulb that lasts 500 hours is -10. This is far from the mean, indicating that a bulb lasting only 500 hours is very unusual for this brand of bulbs.

b) If a customer buys 20 of these light bulbs, we're now interested in the average lifespan of these bulbs. . In this case, n = 20, so the standard error is

50/√20

≈ 11.18 hours.

z = (980 - 1000) / 11.18 ≈ -1.79.

The probability that z is less than -1.79 is approximately 0.0367, or 3.67%.

c) The z-score for a bulb with a lifespan of 400 hours can be calculated as:

z = (400 - 1000) / 50 = -12.

The probability associated with z = -12 is virtually zero. So the probability of getting a bulb with a mean lifespan of 400 hours is virtually zero.

d) The mean lifespan is 1000 hours, so half of the light bulbs will have a lifespan less than 1000 hours. Since the lifespan follows a normal distribution, the mean, median, and mode are the same. So, 50% of light bulbs will have a lifespan less than 1000 hours.

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Answer:

9 - s = 4

Step-by-step explanation:

9 - 6 is 3, not 4, so thats the answer!

The equation is s = 6 not the solution is 9 - s = 4.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

For which equation is s = 6 not the solution?

1. The solution of the equation 4 s = 24 is;

\(\rm4 s = 24\\\\s=\dfrac{24}{4}\\\\s=6\)

2. The solution of the equation 9 - s = 4  is;

\(\rm 9 - s = 4\\\\s=9-4\\\\s=5\)

3. The solution of the equation s + 6 = 12 is;

\(\rm s + 6 = 12\\\\s=12-6\\\\s=6\)

4. The solution of the equation s - 4 = 2 is;

\(\rm s - 4 = 2\\\\s=2+4\\\\s=6\)

Hence, the equation is s = 6 not the solution is 9 - s = 4.

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Answer:

33 % is the answer.

Step-by-step explanation:

The value provided is 10 and possible out comes of getting a result is 3 as there are 3 grades namely (A,B and C) are mentioned. When converted to 100s, 100/33 gives 33.33% as the answer, when rounding off gives 33.

The value of the surface integral ∫∫s (∇ × F) · ds over the given surface S is (16/3)π.

To evaluate the given surface integral, we need to calculate the curl of the vector field F and then integrate it over the surface S.

First, we find the curl of F:

∇ × F =

| i j k |

| ∂/∂x ∂/∂y ∂/∂z |

| x y z |

( x(y-1) - y(x-1) ) i + ( y(z-1) - z(y-1) ) j + ( z(x-1) - x(z-1) ) k

Now, we need to evaluate the surface integral using the divergence theorem:

∫∫s (∇ × F) · ds = ∫∫∫v ∇ · (∇ × F) dV

where V is the volume enclosed by the surface S.

Using the divergence theorem, we can rewrite the integral as:

∫∫s (∇ × F) · ds = ∫∫∫v (∂/∂x(x(y-1) - y(x-1)) + ∂/∂y(y(z-1) - z(y-1)) + ∂/∂z(z(x-1) - x(z-1))) dV

Now, we can evaluate the triple integral by changing to spherical coordinates:

∫∫s (∇ × F) · ds = ∫θ=0^π/2 ∫φ=0^2π ∫r=0^2 [(r^2 sinθ cosφ(cosφ + sinφ) + r^2 sinθ sinφ(sinφ - cosφ) + r^2 cosθ(cosθ - 1))] r^2 sinθ dr dφ dθ

Evaluating this integral, we get:

∫∫s (∇ × F) · ds = (16/3)π

Therefore, the value of the surface integral ∫∫s (∇ × F) · ds over the given surface S is (16/3)π.

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Step-by-step explanation:

hope it helps.

Answer:

Below

Step-by-step explanation:

√(18*49)

= √882

= 29.70 to nearest hundredth.

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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The sequence aₙ=6n+91 diverges and does not converge to a specific value (DNE).

To determine whether the sequence aₙ=6n+91 converges or diverges, we need to analyze the behavior of the terms as n approaches infinity.

As n increases, the value of 6n becomes arbitrarily large. When we add 91 to 6n, the overall sequence aₙ also becomes infinitely large. This can be seen by observing that the terms of the sequence increase without bound as n increases.

Since the sequence does not approach a specific value as n approaches infinity, we say that the sequence diverges. In this case, it diverges to positive infinity. This means that the terms of the sequence become arbitrarily large and do not converge to a finite value.

Therefore, the sequence aₙ=6n+91 diverges and does not converge to a specific value (DNE).

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Answer:

huh?

Step-by-step explanation:

Answer:

1:6

Step-by-step explanation:

10cc:60C

5cc:30C

1cc:6C

The radius of the circle is r = 3.78 cm for the given circle.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that the angle of the sector of the circle is 1.2 radians the area of the sector is 54 cm².

The radius of the circle will be calculated as:-

Area = Angle x πr²

54 = 1.2 x πr²

r² = ( 54 ) / ( 1.2 x π )

r² = 14.32

r = √14.32

r = 3.78 cm

Therefore, the radius of the circle is 3.78 cm.

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y = (4/5)x - 1 is the equation of the line in slope-intercept form

The equation of a line in slope-intercept form is y = mx + c.

Where m is the slope and c is the y-intercept (0, y)

slope = (y2-y1)/(x2-x1)

where (x1, y1) and (x2, y2) are the coordinates of two points that lie on the line

From the graph:

c = -1

x1 = 0, y1 = -1 and x2 = 5, y2 = 3

slope (m) = (3-(-1)) / (5-0) = 4/5

substitute m = 4/5 and c = -1 into y = mx + c:

y = (4/5)x - 1

Thus, the equation of the line in slope-intercept form is y = (4/5)x - 1

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