Which is true about the functional relationship shown in the graph

The probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.

What is probability?

Probability is a branch of mathematics that deals with the study of random events and their outcomes. It is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1.

To find the probability that a randomly selected adult has an IQ between 93 and 117, we need to standardize the distribution using the z-score formula, and then find the area under the normal distribution curve between those two z-scores.

The z-score formula is:

z = (x - μ) / σ

where x is the IQ score we are interested in, μ is the mean IQ score, and σ is the standard deviation of IQ scores.

For the lower bound of 93, the z-score is:

z = (93 - 105) / 20 = -0.6

For the upper bound of 117, the z-score is:

z = (117 - 105) / 20 = 0.6

Now, we need to find the area under the normal distribution curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this probability. Using a calculator, we can use the normalcdf function:

normalcdf(-0.6, 0.6, 0, 1)

This gives us a probability of 0.6827.

Therefore, the probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.

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The equation for the line of best fit is given as follows:

y = 50x/3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The parameters of the definition of the linear function are given as follows:

From the graph, when x = 0, y = 0, hence the intercept b is given as follows:

b = 0.

Hence:

y = mx.

When x = 3, y = 50, hence the slope m is given as follows:

3m = 50

m = 50/3.

Hence the equation is:

y = 50x/3.

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Answer:

Step-by-step explanation:

kinda confusing but ill do my best :/

if what youre saying is m(x) = -4 like x = -4 then do this

plug in -4 for x and solve

 = 2(-4) - 10

  = -8 - 10

 = -18

or are you saying like the whole equation is equal to -4 and we need to solve for x do this

plug in -4 for 'y'

-4 = 2x - 10

then solve for x

6 = 2x

3 = x

sorry if this is confusing but i hope this helps <3

Answer:

33.

Step-by-step explanation:

75%   x

100   44

x = (44 * 75 ) / 100 = 33.

Answer:

44

Step-by-step explanation:

Answer: 44

Step-by-step explanation:

This is quite simple, Are you sure you can't do it on your own?

Answer:

x-(-1)=6

-x=6

-x/-1 6/-1

x=-6

Answer:

Therefore, the solution of the system of equations will be:

\(x=5,\:y=-1\)

Step-by-step explanation:

Given the system of equations

\(x-y=6;\:y=-1\)

solving

\(\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}\)

\(\mathrm{Subsititute\:}y=-1\)

\(\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}\)

\(\begin{bmatrix}x+1=6\end{bmatrix}\)

Isolate x for \(x+1=6\)

\(x+1=6\)

\(x=5\)

Therefore, the solution of the system of equations will be:

\(x=5,\:y=-1\)

Answer:

reflection of the axis y=4

Step-by-step explanation:

becuase it is reflected on itself

Answer:

Reflect Triangle A by the line y = 4

Step-by-step explanation:

The answer is reflect Triangle A by y = 4 because the two triangles are symmetric.

Answer:

$276.25

Step-by-step explanation:

325 * 0.85 = 276.25

Answer: $276.25

Step-by-step explanation:

if you buy an item at $325 with 15% discount, you will pay 325 - 48.75 = 276.25 dollars.

Answer:

0.8046

Step-by-step explanation:

We're asked to calculate the probability that the job will be ready by 1.01 pm

From the question, we can note that the parameter of an Exponential is E(X)= 15

Next, to calculate the third job probability, we will have to use Poisson Distribution with parameter 1/λ

Therefore, E(Y) = 1/15

Then, The third job will be ready for 1:01 pm, and thus E(Y) = 61/15

Therefore, the required probability is

P(X ≥ 3) = 1 - P(X < 3)

= 1 - Poisson(3,4, true)

= 1 - 0.1954

= 0.8046

Answer:

n-2

Step-by-step explanation:

27-25=2

25-23=2

23-21=2

21-19=2

they all go down in to so it's n-2

Looks like an arithmetic sequence with a = 27 and d = -2

The minimum dimensions of the rectangular box is 90mm by 90mm by 36mm when converted to millimeter

There are three dimensions of a rectangular box which are the length, width, and height . The three measurements are multiplied together using Length × Width × Height in the same units.

The radius of the circular mat = 4.5cm and 45{converted to millimeter}

the total length of the mat = 2 × 45mm {2radius = diameter}

the total length of the mat = 90mm

Since the length of the circular mat is the same around the mat, hence the rectangular box has two dimensions of length of 90mm and width of 90mm

The total thickness of the 12 mats will determine the height of the rectangular box so;

the thickness of a mat is given as 3mm

total thickness of 12 mats = 3mm × 12

total thickness of 12 mats = 36mm

Therefore, the rectangular box will have a minimum dimension of length 90mm by width 90mm by height 36mm

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The time it will take for your account balance to reach $10,000 is given as follows:

t = 10.8 years.

The balance of an account after t years, using continuous compounding, is given as follows:

A(t) = A(0)e^(kt).

In which:

The parameters for this problem are given as follows:

A(0) = 6500, k = 0.04.

Hence the time needed for a balance of $10,000 is obtained as follows:

10000 = 6500e^(0.04t)

e^(0.04t) = 10000/6500

0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential

t = ln(10000/6500)/0.04

t = 10.8 years.

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The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:

B = 5:00

Step-by-step explanation:

Answer:

The answer would be 5:00

Step-by-step explanation:

Since we know that each number on the clock is separated by 30 degrees, we can simply add 60 to 90 and get 150

3:00 is 90°

so that means 4:00 is 120°

then 5:00 is 150°

Answer:

x = 12.5

Step-by-step explanation:

The three sides of the triangle have lengths 3x, 3x, and 15.

The perimeter of the triangle is the sum of the three lengths, and it is 90.

Perimeter = 3x + 3x + 15 = 6x + 15

3x + 3x + 15 = 90

6x + 15 = 90

6x = 75

x = 12.5

Answer:

Step-by-step explanation:

This is 0% of your total income of $0. 0% would also be your average tax rate. Your income puts you in the 0% tax bracket. At higher incomes, exemptions, many deductions and many credits are phased out. This increases your tax bill and your marginal tax rate. With these phase outs, adding $1,000 to your income would result in a 0% marginal tax rate.

Answer:

b=2a/h

Step-by-step explanation:

Answer:

  -7

Step-by-step explanation:

(6^9)(6^x) = 6^2

Taking logarithms to the base 6, we have ...

  9 + x = 2

  x = -7 . . . . . subtract 9

Answer:

-7

Step-by-step explanation:

Answer:

30% increase

Step-by-step explanation:

percentage increase is calculated as

\(\frac{increase}{original}\) × 100%

increase = $35.10 - $27 = $8.10 , then

percentage increase = \(\frac{8.10}{27}\) × 100% = 0.3 × 100% = 30%

Answer:

Step-by-step explanation:

step 1:       35.10-27 =8.1

step 2:       8.1/27 x 100 = 30%

so therefore = 30% increase

Hello,

Answer: D

Step-by-step explanation:

F(x) = (1/5)ˣ

F(3) = (1/5)³ = 1³/5³ = 1/125

⇒ Answer D

Solution:

Given:

Shadow of the bridge = 105ft

Shadow of you = 7 ft

(a) Draw this scenario out:

(b)

The bridge is 85ft tall

(c) Let the shadow of the nearby fence be x

The length of the shadow of the nearby fence = 9.88 ft (2 decimal places)

Answer:

Step-by-step explanation:

We can use the Side-Side-Side (SSS) Theorem – Three pairs of corresponding sides are congruent in two triangles.

Jupiter's model diameter will be 280 mm, if the real diameter is 142,984km?.

Proportion can be referred to as a part, share, or number considered in comparative relation to a whole. Proportion is defined as when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

real diameter : model diameter

12,756 : 25

142,984 : x

where x is the model diameter of jupiter

x = (25 x 142,984) / 12,756

x = 280 mm

Therefore, the model diameter of Jupiter is 280mm

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Answer:

you will want to have a good understanding of these properties to make the problems in ... Here, the same problem is worked by grouping 5 and 6 first, 5 + 6 = 11. ... “three times the variable x” can be written in a number of ways: 3x, 3(x), or 3 · x. ... Use the distributive property to evaluate the expression 5(2x – 3) when x = 2.

y

The distributive property tells us that if were given an expression such as 3(x + 2), we can multiply the 3 by both the x and the 2 to get 3x + 6.

This gives the matrix [I|A]. Row operations can then be performed on the matrix to transform it into the form [I|B], where B is the inverse of A.

In order to use row operations to determine whether a given matrix is invertible and find its inverse if it is invertible, the following steps can be taken:

Step 1:

Write the given matrix with an identity matrix of the same order to its right. This gives a new matrix, [A|I].

Step 2:

Using elementary row operations, convert the matrix on the left to an identity matrix. This can be done by performing operations such as swapping two rows, multiplying a row by a nonzero constant, or adding a multiple of one row to another row.

Step 3:

The matrix on the right will now be the inverse of the original matrix if the matrix on the left was converted to an identity matrix.

If the matrix on the left cannot be converted to an identity matrix, then the original matrix is not invertible and does not have an inverse.

In this case, the matrix is said to be singular.

The process of using row operations to find the inverse of a matrix can be simplified by writing the identity matrix first and then the given matrix next to it.

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Answer:

The mechanical energy isn't conserved.

Step-by-step explanation:

Honeslty I think you should Start cheatin on your Hw

Answer:

The mechanical energy is not conserved

Step-by-step explanation:

Recall that the law of conservation of energy states that in an isolated system (no external forces acting on it), the mechanical energy is conserved.

A skier skiing down a slope is not an isolated system in this case because the friction of the snow causes some of the mechanical energy to convert to thermal energy.

Answer: 36/12 = 3

Step-by-step explanation:

Answer:

The expression should be something like: 36/12