Which steps show how to use the distributive property to evaluate 9 x 32?

Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

Learn more on z-score here;

https://brainly.com/question/29367643

#SPJ1

Answer:

  8. yes

  9. no

  10. x = 9

  11. x = 2

Step-by-step explanation:

A point will lie on the perpendicular bisector of a segment if it is equidistant from the end points. The differences of coordinates between S and each of Q and R are sufficient to tell you if their sum of squares is the same. (The distance is the root of the sum of squares of the coordinate differences.)

There are other ways to determine the desired answer, but they generally involve more math. Of course, a geometry program can tell you immediately if S is on the perpendicular bisector of QR.

  S -Q = (4 -(-5), -2 -(-1)) = (9, -1)

  S -R = (4 -3, -2 -7) = (1, -9)

The sums of squares of these differences are 9² +1² = 82. The distance from S to each of Q and R is √82, so S lies on the perpendicular bisector.

__

  S -Q = (-2 -(-5), -5 -4) = (3, -9) . . . . distance = √90

  S -R = (-2 -8, -5 -(-3)) = (-10, -2) . . . . distance = √104

The two distances are not the same, so S does not lie on the perpendicular bisector.

__

The marked segments are equal length, so ...

  14x -37 = 10x -1

  4x = 36 . . . . . . . . . add 37-10x

  x = 9 . . . . . . . divide by 4

__

The marked angles are congruent, so ...

  16x -7 = 6x +13

  10x = 20 . . . . . . . . add 7-6x

  x = 2 . . . . . . . . divide by 10

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer:

\(y = -4ln(x^3 - 9x + 3) + C\\\)

Step-by-step explanation:

Given the differential equation \(\frac{dy}{dx} = \frac{36-12x^2}{x^3-9x+3}\\ \\\), we will use the variable separable method to solve the differential equation as shown;

\(\frac{dy}{dx} = \frac{36-12x^2}{x^3-9x+3}\\ \\dy = \frac{36-12x^2}{x^3-9x+3}dx\\ \\\\\\integrate \ both \ sides\\\\\int\limits dy = \int\limits\frac{36-12x^2}{x^3-9x+3}dx\\ \\\\using\ substitution\ method \ to \ solve \ RHS\\\\\int\limits\frac{36-12x^2}{x^3-9x+3}dx\\\\let \ u = x^3-9x+3; du/dx = 3x^2-9\\\\dx = du/3x^2-9\\\\\int\limits\frac{36-12x^2}{x^3-9x+3}dx\\\\ = \int\limits\frac{36-12x^2}{u}*\frac{du}{3x^2-9} \\\\= \int\limits\frac{12(3-x^2)}{u}*\frac{du}{3(x^2-3)}\\\\\)

\(= \int\limits\frac{-12(x^2-3)}{u}*\frac{du}{3(x^2-3)}\\\\= -4\int\limits \frac{du}{u}\\ = -4lnu + C\\= -4ln(x^3 - 9x + 3)\)

The differential solution becomes:

\(y = -4ln(x^3 - 9x + 3)\)\(+C\)

5 is number of t - shirt are the factors in the expression .

What does the math factor mean?

the total cost of the T-shirts = 5 ( P -2 )

There into, p is original price of the t - shirt

$2 is discounted price.

5 is number of t - shirt.

Learn more about factor

brainly.com/question/24182713

#SPJ9

In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.

Using this information, we can set up equations to solve for the variables.

From the given information, we have -

AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)

BE = x + 2

DE = BE = (x + 2) = g (since diagonals bisect each other at point E)

We also know that opposite sides of a parallelogram are parallel.

Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -

10/1 = 2y/1

10 = 2y

y = 5

Now we can use equation (1) to solve for x -

2x - 5 = 5x - 17

12 = 3x

x = 4

Finally, we can use x to solve for g -

(x + 2) = g

(4 + 2) = g

g = 6

Therefore, the values of x, y, and g are 4, 5, and 6, respectively.

To learn more about parallelogram from the given link

https://brainly.com/question/3050890

#SPJ1

Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

For more such questions on expense, click on:

https://brainly.com/question/2292799

#SPJ8

we need to clear y in order to find the expression in terms of x

evaluating in x=-1

The football is approximately 96.4 feet from the base of the goal post.

The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:

tan(theta) = opposing / adjacent.

When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.

Given, the angle of elevation is 16 degrees 42'.

That is,

Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees

Using tangent function we have:

tan(16.7) = 30/x

x = 30 / tan(16.7)

x = 96.4 feet

Hence, the football is approximately 96.4 feet from the base of the goal post.

Learn more about tangent function here:

https://brainly.com/question/22043858

#SPJ1

Answer:

\(x = \frac{31}{7}\)

Answer:

31/7

Step-by-step explanation:

Plus both sides by 3/7, and on the left it is 4 + 3/7. Transfer that into an improper fraction, and it's 31/7

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

(-1,4)

Step-by-step explanation:

to find out we just fill in the values to see if it’s true

(x,f(x))

4=-1^2+3

4=1+3

4=4

True

-4=-1^2+3

-4=1+3

-4=4

Not true

-4=1^2+3

-4=1+3

-4=4

Not true

-1=-4^2+3

-1=16+3

-1=19

Not true

Hopes this helps please mark brainliest

The (g.f)(x)  of the two functions is:

(g.f) (x) = 6x + 37

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To find (g.f) (x), follow the steps below:

1. Substitute the value of f(x) into the function g(x).

2. Then simplify the expression.

That is:

f(x) = 3x+18

g(x) = 2x+1

Thus, we have:

(g.f) (x) = g(f(x))

(g.f) (x) = g(3x+18)

(g.f) (x) = 2(3x+18) + 1

(g.f) (x) = 6x+36 + 1

(g.f) (x) = 6x + 37

Learn more about function on:

brainly.com/question/1415456

#SPJ1

Part A

Either Nathan picked 0, or Sonia picked 0, or both.

This is because multiplying nonzero numbers together gets a nonzero result. So one of them must have picked 0.

==============================================================

Part B

It's the same idea as part A. It's not clear what the nonzero values are, but one (or more) person picked 0 as their secret number.

If they picked something like 1, 2 and 3, then the product is 1*2*3 = 6 which is nonzero and the product is larger than the three original values. This is because each value is 1 or larger. If someone picked a small decimal value like 0.1 then 0.1*2*3 = 0.6 is the product. It's closer to 0, but not 0 itself.  

==============================================================

Part C

Zero Product Property:

If m*n = 0, then either m = 0 or n = 0 or both.

This idea says that if the product of two numbers is 0, then at least one of the numbers must be 0 itself. It can be extended to three or more numbers.

This idea is useful when it comes to solving factored quadratic equations.

In the case of 2x^2 + 5x - 12, it factors to (2x-3)(x+4)

So using the zero product property, we can solve the quadratic equation like this

2x^2 + 5x - 12 = 0

(2x-3)(x+4) = 0

2x-3 = 0 or x+4 = 0

2x = 3 or x = -4

x = 3/2 = 1.5 or x = -4

The use of the zero product property happens in step 3

Here's the same answer I got on my question that you so helpfully "answered":

uhvvcefjjydchtrrsxikngg

Answer:

\(Area = 138in^2\)

Step-by-step explanation:

Given

\(L = 9; W =3; H =3\frac{1}{2}\)

Required

The surface area

This is calculated as:

\(Area = 2(LW + LH + WH)\)

So:

\(Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})\)

\(Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})\)

\(Area = 2*69\)

\(Area = 138in^2\)

Answer:

2 cups more was given to the flower with the most water because 5 cups - 3 cups = 2 cups.

Answer:

2 cups

Step-by-step explanation:

The most water was 5 cups and the least was 3 cups. So:

5-3=2 cups more

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

Learn more about triangles here:

https://brainly.com/question/28470545

#SPJ1

Answer:

Em matemática, costumamos usar a letra “x” para representar a quantidade desconhecida. Mas agora x está em toda parte em nossa sociedade. As pessoas usam “x” para representar algo inexplicável ou desconhecido, como raio-X, arquivo X e  i hope that helps :)

Answer:

1 - False

2 - False

3 - True [for prism which can separate white light into 7, i.e, ordinary prism]

4 - False [for the type of prism stated above]

5 - True

Step-by-step explanation:

If you can, get a picture of a normal prism and look at it. There are MANY different types of prisms. The answers I have given above are only applicable to the prism we refer to normally, i.e., the pyramid-like shaped one.

Answer:

245

Step-by-step explanation:

multiple the amount of rooms on each floor (35) by the amount of floors (7)

35x7=245 rooms

Answer:

260.1615 ; 70.688 ; (53.787 ; 103.304)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Data:

242.87

260.93

194.19

260.76

355.36

346.32

165.37

250.08

326.76

283.56

212

284.08

139.16

436.72

240.87

310.41

223.73

181.25

238.2

250.61

Using calculator :

Sample mean = ΣX / n

Sample mean = 5203.23 / 20

Sample mean, m = 260.1615

Sample mean, m = 260.2

Sample standard deviation (s) :

Σ(X - m) / n - 1

= 70.688

= 70.7

((n-1)*s²) / ²0. 975, 19 ; ((n-1)*s²) / ²0.025, 19

95% confidence interval :

(53.787 ; 103.304)

Answer:

The answer is $14.224.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The square root of 144 is 12

Answer:

-12

Step-by-step explanation:

3/5 * (1 + sqrt(16))^2 - (5 - 2)^3 =

= 3/5 * (1 + 4)^2 - (3)^3

= 3/5 * (5)^2 - 27

= 3/5 * 25 - 27

= 15 - 27

= -12

Answer: The answer is ABC equals 48.

Step-by-step explanation: That is becuase two sides of the triangle are 66.

66+66=132

180-132=48

The three numbers before 1022₅ are 1014₅, 1020₅, 1021₅ while the three numbers after 1022₅ are 1023₅, 1024₅, 1030₅

The number is given as

1022₅

As a general rule in number base.

If the base of a number is n

The highest digit in any number in that base is n - 1

This means that the highest digit in base 5 is 4

Using the above as a guide, the three numbers before 1022₅ are 1014₅, 1020₅, 1021₅ while the three numbers after 1022₅ are 1023₅, 1024₅, 1030₅

Read more about numbers at

https://brainly.com/question/24644930

#SPJ1