(√9)³× (√30)² what is the value of this answer

Answer:

x = 49

Step-by-step explanation:

The sum of angles is 360

(x + 84) + 80 + 3x = 360

x + 3x = 360 - 84 - 80

4x = 196

x = 196/4 = 49

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Professor Sanchez has been teaching Principles of Economics for over 25 years. He uses the following scale for grading. Grade Numerical Score Probability A 4 0.090 B 3 0.240 C 2 0.360 D 1 0.165 F 0 0.145

a. Convert the above probability distribution to a cumulative probability distribution. (Round your answers to 3 decimal places.)

b. What is the probability of earning at least a B in Professor Sanchez’s course? (Round your answer to 3 decimal places.)

c. What is the probability of passing Professor Sanchez’s course? (Round your answer to 3 decimal places.)

Answer:

a. Cumulative Probability Distribution

Grade             P(X ≤ x)

F                      0.145

D                     0.310

C                     0.670

B                     0.910

A                         1

b. P(at least B) = 0.330

c. P(pass) = 0.855

Step-by-step explanation:

Professor Sanchez has been teaching Principles of Economics for over 25 years.

He uses the following scale for grading.

Grade     Numerical Score      Probability

A                       4                            0.090

B                       3                            0.240

C                       2                            0.360

D                       1                            0.165

F                       0                            0.145

a. Convert the above probability distribution to a cumulative probability distribution. (Round your answers to 3 decimal places.)

The cumulative probability distribution is given by

Grade = F

P(X ≤ x) = 0.145

Grade = D

P(X ≤ x) = 0.145 + 0.165 = 0.310

Grade = C

P(X ≤ x) = 0.145 + 0.165 + 0.360 = 0.670

Grade = B

P(X ≤ x) = 0.145 + 0.165 + 0.360 + 0.240 = 0.910

Grade = A

P(X ≤ x) = 0.145 + 0.165 + 0.360 + 0.240 + 0.090 = 1

Cumulative Probability Distribution

Grade             P(X ≤ x)

F                      0.145

D                     0.310

C                     0.670

B                     0.910

A                         1

b. What is the probability of earning at least a B in Professor Sanchez’s course? (Round your answer to 3 decimal places.)

At least B means equal to B or greater than B grade.

P(at least B) = P(B) + P(A)

P(at least B) = 0.240 + 0.090

P(at least B) = 0.330

c. What is the probability of passing Professor Sanchez’s course? (Round your answer to 3 decimal places.)

Passing the course means getting a grade of A, B, C or D

P(pass) = P(A) + P(B) + P(C) + P(D)

P(pass) = 0.090 + 0.240 + 0.360 + 0.165

P(pass) = 0.855

Alternatively,

P(pass) = 1 - P(F)

P(pass) = 1 - 0.145

P(pass) = 0.855

Answer:

23

Step-by-step explanation:

31+23=54

\(54-x=31\)

Simplify:

\(-x+54=31\)

Subtract 54 from both sides:

\(-x+54-54=31-54\)

\(-x=-23\)

Divide both sides by -1:

\(\dfrac{-x}{-1} =\dfrac{-23}{-1}\)

\(=\fbox{x = 23}\)

The lengths of the three sides of the pie-shaped lake-front lot are:

Shortest side: 100 feet

Second side: 400 feet

Third side: 600 feet

Let's denote the lengths of the three sides of the triangular lake-front lot as x, x + 300, and x + 500.

The perimeter of a triangle is the sum of its three sides, so we can set up an equation to represent the given information:

x+ (x + 300) + (x + 500) = 1,100

Simplifying the equation:

3x + 800 = 1,100

Subtracting 800 from both sides:

3x = 300

Dividing both sides by 3:

x = 100

Now that we have found the length of the shortest side, we can substitute this value back into the expressions for the other two sides:

Shortest side (x) = 100 feet

Second side (x + 300) = 100 + 300 = 400 feet

Third side (x + 500) = 100 + 500 = 600 feet

Therefore, the lengths of the three sides of the pie-shaped lake-front lot are:

Shortest side: 100 feet

Second side: 400 feet

Third side: 600 feet

for such more question on lengths

https://brainly.com/question/24176380

#SPJ8

Answer:

3m == 5w, that means for such unit, there is a 2 person difference

30 person difference = 30/2 = 15units

and again one unit means 3m and 5w

so 15*3men, and 15*5women

and you can check the difference is 30

Answer:

3510000

Step-by-step explanation:

Answer:

3510000

Step-by-step explanation:

234,000×6percent

that answer*3percent then substract that 3 percent from . the number before multiplied it by three percent

The reflection of Z (5 1/2, 3) across the x-axis is (5 1/2, -3).

Here,

The given point is Z (5 1/2, 3).

We have to find the point of reflection of Z (5 1/2, 3) across the x-axis.

What is Reflection across x-axis?

A point after reflection across the x-axis, the x- coordinate remains the same but y - coordinate is taken to be the additive inverse.

Now,

Since, The given point Z (5 1/2, 3) is lie on first coordinate.

Hence, The reflection of the point Z (5 1/2, 3) is lie on the third coordinate.

And, In the third coordinate the x-coordinate is positive and y-coordinate is negative.

Since, The rule of the reflection across x- axis is,

(x, y) → (x, -y)

So, The reflection of the point Z (5 1/2, 3) across the x - axis = (5 1/2, -3)

Therefore, The reflection of Z (5 1/2, 3) across the x-axis is (5 1/2, -3).

Learn more about the Reflection across x-axis visit:

https://brainly.com/question/24696463

#SPJ1

The probability of the ball landing on a number that is less than six is:

5/38.

The word "probability" derives from the Latin word "probitatem," which means "credibility, probability," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

American roulette has five numbers that are less than six, namely 1, 2, 3, 4, and 5.

The odds of the ball landing on a number less than six are 5 to 1 out of a total of 38 outcomes (the 36 digits plus 0 and 00).

Hence, the likelihood that the ball will land on a number smaller than six is:

5/38.

To know more about probability visit:

https://brainly.com/question/30719832

#SPJ1

Answer:

23

Step-by-step explanation:

the formula to calculate perimeter of a rectangle is 2(l+b) so its answer will be 23

perimeter of rectangle

=2(l+b)

=2(3.5+8)

=2(11.5)

=23meters

The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

Learn more about division here:

https://brainly.com/question/25289437

#SPJ1

Answer:

B

Step-by-step explanation:

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

More can be learned about the area of a triangle at brainly.com/question/21735282

#SPJ1

Answer:

x = 25

Step-by-step explanation:

The interior angle adjacent to the 123° angle is supplementary to it.

Its measure is 180° - 123° = 57°

The sum of the measures of the interior angles of a polygon is

(n - 2)180° = (4 - 2)180° = 2(180°) = 360°

3x + 7 + 96 + 5x + 57 = 360

8x + 160 = 360

8x = 200

x = 25

Answer:

$4.40.

Step-by-step explanation:

$27.50 × 16/100

=$4.40

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

scale factor = \(\frac{1}{2}\)

Step-by-step explanation:

the side corresponding to WX is EH

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = \(\frac{EH}{WX}\) = \(\frac{2}{4}\) = \(\frac{1}{2}\)

Answer:

(0, -2)

Step-by-step explanation:

Add the x value and divide by 2

\(\frac{13-13}{2}\) = \(\frac{0}{2}\) = 0

Add the y value and divide by 2

\(\frac{-14 + 10}{2}\) = \(\frac{-4}{2}\) = -2

Answer:

\(y = 56.6208\)

Step-by-step explanation:

Given

The attached triangle

Required

Find y

To find y, we make use of the relationship between sides lengths 44 & y and angle 39

The relationship is:

\(cos(39) = \frac{44}{y}\)

i.e.

\(cos(\theta) = \frac{Adjacent}{Hypotenuse}\)

Make y the subject

\(y = \frac{44}{cos(39)}\)

\(y = \frac{44}{0.7771}\)

\(y = 56.6208\) -- approximated

Answer:

y=-x+4

The equation is in the form y=mx+c, where m is the slope and c is the y-intercept, so we know that the slope (m) is -1, and the y-intercept (c) is 4.

The y-intercept is the value of y when x=0. So you can mark (0,4) as a point on the line.

The next thing I would do is take any value for x and find another point on the line. Let's let x=2:

y=-2+4

y=2

So now we know another point on the line (2,2). Mark this on the graph too.

Then connect these two points and extend to the line to finish off your graph, and you're done!

(PS: if the whole 'y-intercept' thing gives you a headache, you can just pick any two values for x, sub them in to find the points, mark those points and connect. There's also a method for graphing using just the slope and y-intercept, but the method above is usually what people prefer to do)

I've attached a sketch that corresponds to my answer to give you an idea:

Answer:

  a, b, d

Step-by-step explanation:

For the inequality x ≥ -3 . . .

a(0, -2) . . . 0 ≥ -3, true

b(-3, 4)  . . . -3 ≥ -3, true

c(-4, 2)  . . . -4 ≥ -3, FALSE

d(5, -5) . . . 5 ≥ -3, true

Points a, b, d satisfy the inequality.

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

The value of x for the chord is:

x = 12

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.

Recall that: If two chords intersect inside the circle, then they cut each other in such a way that the product of the lengths of the parts is the same for the two chords.

Using the above principle, we can say:

3 * x = 4 * 9

3x = 36

x = 36/3

x = 12

Thus, the value of x for the chord is 12.

Learn more about intersecting chords on:

https://brainly.com/question/13950364

#SPJ1

Answer:

1 ,.

Step--step explanation:

knj,

The drawing shows a series of transformations and the sequence that moves Triangle I to Triangle II to Triangle III is translation followed by reflection.

A reflection in arithmetic is a form of geometrical transformation, wherein an item is flipped to create a reflect or congruent image. The bisector of the plane is referred to as the definition on the line of reflection, and it is perpendicular to the preimage and photograph.

In the coordinate plane we will draw the translation if we recognize the path and how far the figure have to be moved. To translate the factor P(x,y) , a units right and b units up, use P'(x+a,y+b) .

A translation is a form of transformation that takes every factor in a figure and slides it the equal distance in the equal path.

Here, the image is first translated and then rotated.

Therefore, the drawing shows a series of transformations and the sequence that moves Triangle I to Triangle II to Triangle III is translation followed by reflection.

Learn more bout transformation here:

https://brainly.com/question/4289712

#SPJ9

Answer:

y = -2x + 13

Step-by-step explanation:

Step 1: Write known variables

m = -2

y = -2x + b

Step 2: Find b

3 = -2(5) + b

3 = -10 + b

b = 13

Step 3: Rewrite equation

y = -2x + 13

Hey there! :)

Answer:

y = -2x + 13.

Step-by-step explanation:

Plug in the slope and coordinates into the equation y = mx + b:

Where m = slope

x = x coordinate of point

y = y coordinate of point

3 = (-2)(5) + b

3 = -10 + b

3 + 10 = b

b = 13.

Now that the b value is found, rewrite the equation:

y = -2x + 13.

I believe the answer is D. Nonlinearity is a mathematical term describing a situation where the relationship between an independent variable and a dependent variable is not predictable from a straight line. I hope this helps.

Answer:

your answer is B

Step-by-step explanation:

Germany, Austria-Hungary, Bulgaria, and the Ottoman Empire

65%

Convert fraction (ratio) 13 / 20 Answer: 65%

Answer:

D

Step-by-step explanation:

The best definition for an inequality is a mathematical statement that uses unequal symbols to compare two quantities.

In conclusion, the correct option is D.

Read related link on:

https://brainly.com/question/20167606

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

Read more about polynomial at

https://brainly.com/question/4142886

#SPJ1