can someone help me do 62

To find the numbers "a" and "c" such that Norman scored lower than approximately "percent" of people who took the test, we need to use the standard normal distribution.

First, we calculate the z-score for Norman's score using the formula:

z = (x - mean) / standard deviation

In this case, x = 72, mean = 50, and standard deviation = 20.

z = (72 - 50) / 20 = 1.1

Next, we find the percentile corresponding to the z-score of 1.1 using a standard normal distribution table or a calculator. Let's assume it is "percent".

To find "c", we need to calculate the complement of "percent" and convert it to a decimal:

complement = 1 - (percent / 100)

Finally, to find "a", we use the formula:

a = mean + (c * standard deviation)

a = 50 + (complement * 20)

100c a can be obtained by multiplying "a" by 100.

Therefore, 100c a = 100 * a.

Please provide the value of "percent" to calculate the exact values for "c" and "100c a".

To learn more about Z-score - brainly.com/question/31871890

#SPJ11

Answer:

Where is the statement

-4>3

Step-by-step explanation:

Answer:

First line

Step-by-step explanation:

Isolating 2a is the first step, so adding 5 to each side. That leaves -2a > 8. Divide both sides by -2, and because it's a negative, you flip the sign. so you get a < -4

Answer:

5

Step-by-step explanation:

15-5(p-6)

15-5(8-6)

15-5(2)

15-10

5

Step-by-step explanation:

Area can be calculated by multiplying length and breadth

\(a = w \times l\)

\(4425 = 59 \times l \\ l = \frac{4425}{59} = 75 \: m\)

3x-y=2 and 4x+9y=36 make up the graph equation in option F. next we receive \(x=\frac{2+y}{3}$$\) and \(x=\frac{36-9 y}{4}$$\) .

solve for \($x, 3 x-y=2 \quad: \quad x=\frac{2+y}{3}$\)

Steps

3 x-y=2

Turn y to the right.

3 x=2+y

Divide both sides by 3

\(\frac{3 x}{3}=\frac{2}{3}+\frac{y}{3}$$\)

Simplify

\(x=\frac{2+y}{3}$$\)

solve for x, 4 x+9 y=36:  x=\(\frac{36-9 y}{4}\)

Steps

4 x+9 y=36

Turn 9 y to the right.

4 x=36-9 y

By dividing both sides by 4,

\(\frac{4 x}{4}=\frac{36}{4}-\frac{9 y}{4}$$\)

Simplify

\(x=\frac{36-9 y}{4}$$\)

Therefore the correct answer is option F ) 3x-y=2 , 4x+9y=36 .

To learn more about graph refer to :

https://brainly.com/question/19040584

#SPJ1

b) 'The probability of success remains the same from trial to trial' is true for a binomial distribution.

A binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent trials, where the probability of success remains constant from trial to trial.

The Poisson distribution, on the other hand, is a discrete probability distribution that describes the number of events occurring in a fixed interval of time or space, where the events are rare and random, and the mean number of events per interval is constant.

The number of possible outcomes in a binomial distribution depends on the number of trials and the number of possible outcomes in each trial, and there is no specific requirement for a minimum number of outcomes.

The value of T is not relevant or defined in the context of a binomial distribution.

Correct Question :

Which is true for a binomial distribution?

a) It approximates the Poisson distribution

b) The probability of success remains the same from trial to trial

c) There are ten or more possible outcomes

d) The value of T Is equal to 1.50,

To learn more about binomial distribution here:

https://brainly.com/question/31197941

#SPJ4

Answer:

12

Step-by-step explanation:

8×1.5=12

so, since we know the bigger difference between the two we divide it by 18.

18÷1.5=12

Step-by-step explanation:

the similarity of the triangle:

x/18 = 8/12

=> 12x = 18×8

12x = 144

x = 12

Answer:

i think the correct answer is the third one

have a nice day! (^o^)

The amounts in each mutual fund are $500 and $1800. By using a system of equations, the required values are evaluated.

It is given that, an investor invested $2300 in two mutual funds.

Consider the amount invested in two mutual funds as fund1 = x and fund2 = y.

So, we can write the equation for the total investment is

x + y = 2300 ...(1)

The percentage of profit earned from the fund1 = 6% = 0.06

The percentage of profit earned from the fund2 = 4% = 0.04

The total profit for the investor = $102

Then, the equation from this statement is

0.06x + 0.04y = 102 ...(2)

Then the system of equations is

x + y = 2300 ...(1)

0.06x + 0.04y = 102 ...(2)

Applying the substitution method to solve the obtained system of equations.

So, from (1), we can write x = 2300 - y

Then, equation (2) becomes

0.06(2300 - y) + 0.04y = 102

⇒ 6(2300 - y) + 4y = 10200

⇒ 13800 - 6y + 4y = 10200

⇒ 13800 - 2y = 10200

⇒ 2y = 13800 - 10200 = 3600

∴ y = 3600/2 = $1800

So, the value of x is x = 2300 - 1800 = $500

Thus, the amount of investment in two mutual funds is $500 and $1800.

Learn more about the system of equations here:

brainly.com/question/13729904

#SPJ1

The length of the side a = 9.43 cm and b = 12.04 cm

Consider the first triangle

The hypotenuse of the triangle = a

The base of the triangle = 5 cm

The length of the vertical side = 8 cm

Apply the Pythagorean theorem here

\(a= \sqrt{8^2+5^2}\)

Find the square of the terms

a = \(\sqrt{64+25}\)

a = \(\sqrt{89}\)

a = 9.43 cm

Consider the second triangle

The hypotenuse of the triangle = 17 cm

The base of the triangle = 12 cm

The length of vertical side = y cm

Apply the Pythagorean theorem

b = \(\sqrt{17^2-12^2}\)

b = \(\sqrt{289-144}\)

b = \(\sqrt{145}\)

b = 12.04 cm

Hence, the length of the side a = 9.43 cm and b = 12.04 cm

The complete question is

Work out the lengths of sides a and b give your answer to the 1st decimal

Learn more about Pythagorean theorem here

brainly.com/question/14930619

#SPJ9

Answer:

5x = 12/5

Step-by-step explanation:

Hope I helped! Let me know if I did! ;)

Answer:

  y = 8

Step-by-step explanation:

Given N(-3,-7), O(-4,-2), P(1, -7), and Q(-2, y), you want to find y such that NO ║ PQ.

When we plot the points, we see that point O is 1 unit left and 5 units up from point N. Point Q is on a line 3 units left of P, so it will need to be 3×5 = 15 units up from P in order for PQ to have the same slope as NO:

  y = -7 +15 = 8

The value of y is 8; the point Q is (-2, 8).

Answer:

2

Step-by-step explanation:

+3 to both sides then

/2 from both sides

Answer:

24 square units

Step-by-step explanation:

I googl.ed it

Answer:

24 sq. units

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

Answer:

y=3x+14

Step-by-step explanation:

To start, you know what m is; it's just the slope, which you said was 3. So you can right away fill in the equation for a line somewhat to read:

y=3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-2,8). When x of the line is -2, y of the line must be 8.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,8).

So, why not plug in for x the number -2 and for y the number 8? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-2,8). y=mx+b or 8=3 × -2+b, or solving for b: b=8-(3)(-2). b=14.

The equation of the line that passes through the point (-2,8) with a slope of 3

is

y=3x+14

9514 1404 393

Answer:

  $6,423.75

Step-by-step explanation:

The table tells you ...

If the amount is over 31,850 but not over 77,100 the tax is 4386.25 +25% of (40,000 -31,850).

So, the tax is ...

  $4,386.25 + 0.25(40,000 -31,850) = $4,386.25 + 0.25(8,150)

  = $4,386.25 +2,037.50 = $6,423.75

Answer:

Infinity many solutions

The volume of the sugar cube is changing at a rate of -150 mm³ per minute when the edge length is 10 mm.

Let's denote the edge length of the cube as "x" and the volume of the cube as "V". We are given that the edge length is decreasing at a rate of 0.5 mm per minute.

The volume of a cube can be calculated as V = x³.

To find the rate at which the volume is changing with respect to time (dV/dt), we need to take the derivative of the volume equation with respect to time:

dV/dt = d/dt(x³)

Using the chain rule, we can differentiate the equation with respect to time:

dV/dt = 3x² * dx/dt

We know that dx/dt is -0.5 mm per minute (since the edge length is decreasing at that rate). We also know that the edge length is 10 mm when we want to find the rate of change of the volume.

Plugging in the values:

dV/dt = 3(10²) * (-0.5)

dV/dt = 300 * (-0.5)

dV/dt = -150 mm³/min

Note that the negative sign indicates that the volume is decreasing over time.

Learn more about rate of change here:

https://brainly.com/question/29633130

#SPJ11

Answer:

B, hope it helps :D

Step-by-step explanation:

a. The conditional probability function of X given Y=2 is f(x|2) is 0.55 for x = 1, 2, 3, and f(x|2) = 0 for all other values of x. b. Cov(X,Y) = 2.43 - (3.13)(3.77) = -0.41. c. f(x,y) is not equal to fX(x)fY(y) for some values of x and y, X and Y are dependent.

(a) The conditional probability function of X given Y=y is f(x|y) = f(x,y) / fY(y). The conditional probability function of Y given X=x is f(y|x) = f(x,y) / fX(x).

i. The conditional probability function of X given Y=2 is f(x|2) = 0.12 / 0.22 = 0.55 for x = 1, 2, 3, and f(x|2) = 0 for all other values of x.

ii. The conditional probability function of Y given X=3 is f(y|3) = 0.03 / 0.07 = 0.43 for y = 1, 2, 3, and f(y|3) = 0 for all other values of y.

(b) The covariance between X and Y is given by Cov(X,Y) = E(XY) - E(X)E(Y), where E(XY) is the expected value of the product of X and Y, and E(X) and E(Y) are the expected values of X and Y, respectively. Using the joint probability function, we have E(XY) = 1(0.08) + 2(0.09) + 3(0.10) + 4(0.05) + 6(0.08) + 9(0.05) = 2.43, E(X) = 1(0.19) + 2(0.22) + 3(0.25) + 4(0.10) + 6(0.14) + 9(0.10) = 3.13, and E(Y) = 1(0.15) + 2(0.22) + 3(0.28) + 4(0.07) + 6(0.17) + 9(0.11) = 3.77. Therefore, Cov(X,Y) = 2.43 - (3.13)(3.77) = -0.41.

(c) X and Y are not independent because f(x,y) = 0.08 for x=1 and y=1, while fX(1)fY(1) = 0.19(0.15) = 0.0285. Since f(x,y) is not equal to fX(x)fY(y) for some values of x and y, X and Y are dependent.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

If 64 to the x equals 9, then 8 to the x equals 3.

This can be solved by using the rules of logarithms.

First, we can rewrite the equation 64 to the x equals 9 as log64⁹ = x.

Next, we can use the rule of logarithms that states \(log_ab = \frac{log_cb}{log_ca}\).

Using this rule, we can rewrite the equation as log₈9 / log₈64 = x.

Simplifying the equation, we get log₈9 / 2 = x.

Finally, we can use the rule of logarithms that states alogₐb = b to rewrite the equation as 8log₈9 / 2 = 8ˣ.

Simplifying the equation, we get 3 = 8ˣ.

Therefore, if 64 to the x equals 9, then 8 to the x equals 3.

See more about equations at https://brainly.com/question/15266904

#SPJ11

x = 14

amskcsldkcjviuer

RequirEd AnswEr :

=> 8x - 3(2x + 5 ) = 13

=> 8x - 6x - 15 = 13

=> 2x - 15 = 13

=> 2x = 13 + 15

=> 2x = 28

=> x = 28/3

=> x = 14

Hope this helps!! :)

Answer: sorry i needed points :<

Step-by-step explanation:

The matrix P that orthogonally diagonalizes matrix A is : P = [1 1;

To find the matrix P that orthogonally diagonalizes matrix A, we need to find its eigenvalues and eigenvectors.

Given matrix A:

A = [4 1; 1 4]

To find the eigenvalues, we solve the characteristic equation:

|A - λI| = 0

Where λ is the eigenvalue and I is the identity matrix.

Calculating the determinant:

|A - λI| = |4-λ 1| = (4-λ)(4-λ) - 1*1

|1 4-λ|

Expanding and simplifying:

(4-λ)(4-λ) - 1*1 = λ^2 - 8λ + 15 = 0

Factoring the quadratic equation:

(λ - 5)(λ - 3) = 0

So, the eigenvalues are λ1 = 5 and λ2 = 3.

To find the corresponding eigenvectors, we substitute each eigenvalue into the equation (A - λI) * X = 0, and solve for X.

For λ1 = 5:

(A - 5I) * X1 = 0

Substituting the values:

(4-5 1)(x1) = (0)

(1 4-5)(y1) = (0)

Simplifying:

-1x1 + y1 = 0

x1 - 1y1 = 0

This gives us x1 = y1. Let's choose x1 = 1, which leads to y1 = 1.

So, the eigenvector corresponding to λ1 = 5 is X1 = [1; 1].

Similarly, for λ2 = 3:

(A - 3I) * X2 = 0

Substituting the values:

(4-3 1)(x2) = (0)

(1 4-3)(y2) = (0)

Simplifying:

1x2 + y2 = 0

x2 + 1y2 = 0

This gives us x2 = -y2. Let's choose x2 = 1, which leads to y2 = -1.

So, the eigenvector corresponding to λ2 = 3 is X2 = [1; -1].

Now, we can construct the matrix P by using the eigenvectors as columns:

P = [X1 X2] = [1 1; 1 -1]

To find P^(-1), the inverse of P, we can use the formula for the inverse of a 2x2 matrix:

P^(-1) = (1 / (ad - bc)) * [d -b; -c a]

Substituting the values:

P^(-1) = (1 / (1*(-1) - 1*1)) * [-1 -1; -1 1]

= (1 / (-2)) * [-1 -1; -1 1]

= [1/2 1/2; 1/2 -1/2]

Finally, we can determine P^(-1)AP:

P^(-1)AP = [1/2 1/2; 1/2 -1/2] * [4 1; 1 4] * [1/2 1/2; 1/2 -1/2]

Performing the matrix multiplication:

P^(-1)AP = [5 0; 0 3]

Therefore, the matrix P that orthogonally diagonalizes matrix A is:

P = [1 1;

Learn more about orthogonally diagonalizes

brainly.com/question/31851340

#SPJ11

To determine the accuracy of a "population parameter," a "sample statistic" is used to create a confidence interval.

Although they are connected, confidence level and confidence interval are not the same thing.

Thus, to evaluate the accuracy of a "population parameter," a "sample statistic" is used to create a confidence interval.

To know more about the confidence interval, here

https://brainly.com/question/14825274

#SPJ4

The set of numbers are rational numbers but not integers whole numbers or natural numbers are { 1/2, 1/4, 1/8}.

Hence the third option is correct.

Use the concept of rational number defined as:

A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

It can be represented as p/q,

Where p and q are integers and q is not equal to zero.

Examples of rational numbers include 1/2, -3/4, and 5/7.

Now analysing the given options we can see that,

The numbers 1/2, 1/4 and 1/8 are rational but not an integer.

Therefore,

The set  { 1/2, 1/4, 1/8} is the correct one, which is option third.

To learn more about irrational numbers visit:

https://brainly.com/question/29204809

#SPJ3

a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.

b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).

The slope-intercept equation is in the form of y = mx + b.

The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.

Initial starting salary per year = $57,000

Annual raise in salary = $4,000

Period = 4 years

Salary after 4 years = $73,000 [$57,000 + $4,000(4)]

Salary after t years = $57,000 + $4,000(t)

Learn more about the slope-intercept equation at https://brainly.com/question/28888422

#SPJ1