Assume the average selling price for houses in a certain county is $352,000 with a standard deviation of $54,000. a) Caculate the z-score for a house that sells for $367,000. c) Using the Empirical Rule, determine the range of prices that includes 95% of the homes around the mean. a) Calculate the z-score for a house that sells for $367,000. z= (Round to two decimal places as needed.)

58.99 is the answer

y=.96x+35.95

y=23.04+35.95

y=58.99

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Explanation:

We could add 9 to both sides, and then apply the square root to both sides. Don't forget about the plus minus

x^2 - 9 = 0

x^2 = 9

x = sqrt(9) or x = -sqrt(9)

x = 3 or x = -3

To check these answers, you replace x with those values we found. I'll show you how to check x = 3

x^2 - 9 = 0

(3)^2 - 9 = 0

9 - 9 = 0

0 = 0

So that confirms x = 3. The confirmation for x = -3 is nearly the same. Keep in mind that (-3)^2 = (-3)(-3) = 9. You'll be squaring the negative as well.

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Another method you could do is to use the difference of squares rule

x^2 - 9 = 0

x^2 - 3^2 = 0

(x - 3)(x + 3) = 0

Now apply the zero product property. This effectively means you set each factor equal to zero and solve for x

x-3 = 0 or x+3 = 0

x = 3 or x = -3

We end up with the same solution set.

Yet another method you could use is the quadratic formula, but that may be overkill. It's still good practice to do.

Graphing is a visual way to find the answers. You'll graph y = x^2 - 9 and look to see where the curve crosses or touches the horizontal x axis.

Answer:

That would 40 degrees.

(Sorry I can't explain rn) It would have to do with exterior angles.

A stratified sample is a type of probability sample where the population is divided into segments related to the study's topic before selecting participants.

In a stratified sample, the researcher divides the population into distinct subgroups or strata based on certain characteristics or variables that are relevant to the study. Each subgroup or stratum represents a smaller, homogeneous subset of the population. The characteristics used to create the strata could be demographic factors such as age, gender, ethnicity, or any other relevant variables.

Once the population is divided into strata, participants are then randomly selected from each stratum using probability sampling techniques. This ensures that the sample obtained is representative of the overall population in terms of the characteristics or variables of interest.

By utilizing a stratified sample, researchers can ensure that each subgroup or stratum is adequately represented in the sample, allowing for more accurate and precise conclusions to be drawn about the entire population. Stratified sampling is particularly useful when there is significant heterogeneity within the population, as it allows for targeted and focused analysis within specific subgroups.

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The probability that the balls are both white be 1/7.

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

Number of black balls = 4

Number of white balls = 3

Total number of balls = 7

Number of ways of picking up a white ball out of 7 balls, P(W) = 3/7

Number of ways of picking up a second white ball ,P(W) = 2/6

Therefore, the probability of picking up 2 white balls

P(WW) = 3/7 \(*\) 2/6 = 1/7

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Answer:

dimension

speed =distance/time

[S]=M^0L¹T-¹

Answer: y=3/ 4x

Step-by-step explanation: in the linear equations y= Kx shows the proportionality relations . Where k is the proportionality constant which can be any number . x an y are the variables, so according to this answer will be y=3/

Answer:

y=3/4x

Step-by-step explanation:

Let's first define some words;

Proportional: If a line or a ray through the origin it proportional

Non proportional: If a line or ray that does not pass through the origin

Origin: Initial point or the starting point

Now we have define the words now let's graph these points by using Desmos.

Graphs are shown below.    

Base on the graphs below we can see that;

y=3/4x pass through the origin which means the that this linear equation is proportional.

RevyBreeze

The length of a leg of an isosceles right triangle can be found using the concept of Pythagoras' theorem by the formula sqrt (hypotenuse ^ 2 / 2) = x.

Since, two sides of an isosceles triangle are equal, let us consider the two equal sides as 'x' and let the hypotenuse of the triangle be 'h'.

Being a right triangle, by Pythagoras' theorem,

h ^ 2 = x ^ 2 + x ^ 2

h ^ 2 = 2x ^ 2

Hence, we can find the length of a leg of an isosceles triangle by:

sqrt (h ^ 2 / 2) = x

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Answer: 75

Step-by-step explanation:

I'm quite sure about the answer

Answer:

-3/2

Step-by-step explanation:

Given the funtion

(2x+3)² - 6x+9 = 0

(2x+3)² = 6x + 9

Expand

4x²+12x+9 = 6x + 9

4x²+12x - 6x = 0

4x²+6x = 0

4x² = -6x

4x = -6

x = -6/4

x = -3/2

Hence the value of x is -3/2

Answer: A

Step-by-step explanation:

For II,  when the numerator is expanded, it contains terms of ab and a^2 which makes it a quadratic function, not an algebraic function.

For III, tricky one. The a can be cancelled out in the numerator and denominator and the resulting fraction is (b-3)/3. However, this can be further simplified to 1/3b - 1, which makes it not an algebraic fraction anymore.

Answer:

An exponential function has the form `f(x) = ab^x`, where `a` and `b` are constants. To find the exponential function that passes through the points `(-2,1)` and `(-1,2)`, we can use these points to set up a system of equations to solve for the values of `a` and `b`.

Substituting the coordinates of the first point into the equation for an exponential function gives us:

`1 = ab^(-2)`

Substituting the coordinates of the second point into the equation for an exponential function gives us:

`2 = ab^(-1)`

Dividing these two equations gives us:

`(2)/(1) = (ab^(-1))/(ab^(-2))`

`2 = b`

Now that we know that `b=2`, we can substitute this value back into either equation to solve for `a`. Substituting into the first equation gives us:

`1 = a(2)^(-2)`

`1 = a(1/4)`

`a = 4`

So, the exponential function that passes through the points `(-2, 1)` and `(-1, 2)` is given by:

`f(x) = 4 * 2^x`.

To find the exponential function for the graph passing through (-2,1) and (-1,2), we need to use the general form of an exponential function, which is:

y = a * b^x

where:

a is the initial value or the y-intercept of the function

b is the base of the exponential function

x is the variable or the exponent

To determine the values of a and b, we need to use the two given points and solve for the corresponding equations. Substituting the first point (-2,1), we get:

1 = a * b^(-2)

Substituting the second point (-1,2), we get:

2 = a * b^(-1)

Now, we can solve for a and b by eliminating one variable. Dividing the second equation by the first equation, we get:

2/1 = a * b^(-1) / (a * b^(-2))

2 = b

Substituting this value of b into the first equation, we get:

1 = a * 2^(-2)

a = 4

Therefore, the exponential function that passes through (-2,1) and (-1,2) is:

y = 4 * 2^x

or

f(x) = 4 * 2^x

Answer:

9.1

Step-by-step explanation:

9.1 times 5.2 = 47.32

47.32 divided by 2 = 23.66

The length of the base of the triangle is, 9.1 inches

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The area of the triangle below is 23.66 square inches.

And, The height = 5.2 inches

We know that;

Area of triangle = 1/2 × Base × Height

Substitute all the values we get;

⇒ 23.66 = 1/2 × Base × 5.2

⇒ 23.66 = Base × 2.6

⇒ Base = 23.66 / 2.6

⇒ Base = 9.1 inches

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Noah sold 10 small avocados and 20 large avocados.

Let's assume that Noah sold "x" small avocados and "y" large avocados.

From the given information, we can write two equations:

x + y = 30 (since Noah sold a total of 30 avocados)

0.35x + 0.50y = 13.50 (since Noah made $13.50)

Now, we can use any method to solve these equations, such as substitution or elimination. Here, we will use the substitution method:

From the first equation, we can write:

x = 30 - y

Substituting this value of x in the second equation, we get:

0.35(30 - y) + 0.50y = 13.50

Simplifying this equation, we get:

10.50 - 0.35y + 0.50y = 13.50

0.15y = 3

y = 20

Substituting this value of y in the equation x = 30 - y, we get:

x = 30 - 20 = 10

Therefore, Noah sold 10 small avocados and 20 large avocados.

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Answer:

-1

Step-by-step explanation:

BEDMAS

\(\frac{4+(5-11)}{2^{4}-14 }\\\frac{4+(-6)}{16-14 }\\\frac{-2}{2}\\-1\)

Hope that helps

Answer:

Step-by-step explanation:

(-1, 0) (0,3)

(3-0)/(0+1)

3/1 = 3

y - 0 = 3(x + 1)

y = 3x + 3

Check the picture below.

to get the equation of any straight line, we simply need any two points off of it, so let's use those two from the picture.

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-3)}}} \implies \cfrac{9 +6}{2 +3} \implies \cfrac{ 15 }{ 5 }\implies 3\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)}) \\\\\\ y+6=3(x+3)\implies y+6=3x+9\implies y=3x+3\)

In the given triangle IJK, the measure of angle J is approximately 32°

From the question, we are to determine the measure of angle J in the given triangle

From the Law of Sines,

We can write that

sin (I) / i = sin (J) / j

From the given information,

j = 530 cm

i = 740 cm

∠I = 133°

Substituting the parameters into the formula,

sin (I) / i = sin (J) / j

sin (133°) / 740 = sin (J) / 530

sin (J) = (530 × sin (133°)) / 740

sin (J) = 0.5238

J = sin⁻¹ (0.5238)

J = 31.59°

J ≈ 32° (to the nearest degree)

Hence,

The measure of angle J is approximately 32°

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The probability is P(≤5.5) is 0.45.

Probability is a way to gauge how likely something is to happen. Many things are difficult to predict with absolute certainty.

To find P(≤5.5), we need to add up the probabilities of all the values less than or equal to 5.5.

We can see that the values less than or equal to 5.5 are 3, 4, and 5, with respective probabilities of 0.15, 0.10, and 0.20. So:

P(≤5.5) = P(X ≤ 3) + P(X = 4) + P(X = 5)

        = 0.15 + 0.10 + 0.20

        = 0.45

Therefore, P(≤5.5) is 0.45.

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Answer:

7

Step-by-step explanation:

part B is the correct answer

Answer:

B) 7

Step-by-step explanation:

f(x)=2(3)+1

2(3)=6

6+1=7

Answer:

What does it mean but just Million dollar?

Step-by-step explanation:

Answer:

the unit rate would be 66 units per minute

Step-by-step explanation:

2,046/31 = 66

Everything you answered so far looks good. Nice work.

For question 10, we need to find two numbers that multiply to 3(-1) = -3 and also add to 2. The 3 and -1 are the first coefficient and last term. The 2 is the middle coefficient.

Through trial and error, the two numbers we're after are 3 and -1

3 times -1 = -3

3 plus -1 = 2

We break up the 2x into 3x - 1x and factor like so...

3x^2 + 2x - 1

3x^2 + 3x - 1x - 1 ... replace 2x with 3x-1x

(3x^2+3x) + (-1x-1) ... pair up terms

3x(x+1) - 1(x+1) .... factor each parenthesis group

(3x-1)(x+1) ... pull out the gcf (x+1)

You can use FOIL, the box method, or distribution to go from (3x-1)(x+1) back to 3x^2+2x-1 again.

Answer:

Step-by-step explanation:

you are correct

Step-by-step explanation:

mark me as a brainlist

Answer:

Step-by-step explanation:

Answer: m∡B°=38,2°.

Step-by-step explanation:

a=3,  b=5,  c=7  ∡B°=?

\(b^2=a^2+c^2-2*a*ccosB^0\\2*a*c*cosB^0=a^2+c^2-b^2\\cosB^0=\frac{a^2+c^2-b^2}{2*a*c} \\cosB^0=\frac{3^2+7^2-5^2}{2*3*7} \\cosB^0=\frac{9+49-25}{2*3*7} \\cosB^0=\frac{33}{42} \\cosB^0=\frac{11}{14}\\\)

m∡B°=arccos\((\frac{11}{14})\)

m∡B°≈38,2°.

Good luck!

Answer:

I.

II.

One and two are the correct ones

Step-by-step explanation:

Y goes up and down

X is side to side

so

x comes first in an ordered pair.

(I remember that by saying, "You need to find the room before you can ride the elevator)

The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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Answer:

\frac{v^{16}u^{o-5}}{t}

Step-by-step explanation: