(11) How many students are there all together? In a school result 20% students passed in all three subjects (Maths, English and Dance), 46% failed in Maths, 57% failed in English and 42% failed in Dance, 35% failed in Maths and English, 25% failed in English and Dance, 15% failed in Dance and Maths. What percentage of the students failed in all three subjects?

Answer:

answer.3.4,6.8,9.12

Step-by-step explanation:

get 12+16=28.

12/28=6/14=3/7

16/28=8/14=4/7.

now get 3/7and 4/7.

subtruct 3 from 12 and also subtract 4 from 16 to get 9.12

Answer:      2200

Hope it helps!

Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

WE have been given that SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points.

The solution as follows;

Let be X: scores of SAT

P(X ≥ x) = 0.9

P((X - 500)/100 ≥ (x - 500)/100) = 0.9

P(Z ≥ z) = 0.9

z = 1.28

1.28 = (x - 500)/100

128 + 500 = x

x = 628

Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.

Learn more about standard deviation and variance:

https://brainly.com/question/11448982

#SPJ1

Answer:

9 6/7

This is the answer

Answer:

.324

Step-by-step explanation:

.3244   if underlined digit >= 5     round the thousandth digit up o/w leave it as is  

From the given discrete probability distribution, we have that:

a) Because the sum of all probabilities is of 1, we can verify that this is a probability model.

b) P(3 or 4) = 0.229.

c) P(at least one) = 0.908.

d) P(4) = 0.035.

e) Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.

The probability distribution in this problem gives the probability of a household having a number of TV sets, given as follows:

For item a, we have to add all the probabilities, hence:

0.092 + 0.275 + 0.101 + 0.194 + 0.035 + 0.303 = 1.

Because the sum of all probabilities is of 1, we can verify that this is a probability model.

For item b, we take the probabilities from the table as follows:

P(3 or 4) = P(X = 3) + P(X = 4) = 0.194 + 0.035 = 0.229.

For item c, we follow a similar procedure to item b, taking the probabilities from the table as follows:

P(at least one) = 1 - P(X = 0) = 1 - 0.092 = 0.908.

For item d, from the table, we have that:

P(4) = 0.035.

For item e, we have that:

Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.

More can be learned about discrete probability distributions at https://brainly.com/question/24802582

#SPJ1

After 15 seconds Juan moves (6, 5).

In the given question,

given that,

A marching band uses a grid to determine the members’ positions.

Juan starts at (2, 2).

Every 15 seconds, he moves 4 yards east and 3 yards north.

2 + 4 = 6.

2 + 3 = 5.

so after 15 seconds Juan moves (6, 5).

Hence we get the (6,5) as the main answer.

Learn more about Coordinate geometry here:

brainly.com/question/7243416

#SPJ9

Answer:

a, b, a/2, b/2

Step-by-step explanation:

The coordinates of C are (a,b).

You find the midpoint by taking the averages of the coordinates.

Answer:

60/7 ft

Step-by-step explanation:

Using similar triangles, if we let the height of the tree in ft be x,

[tex]\frac{x}{24}=\frac{5}{14} \\ \\ x=\frac{60}{7}[/tex]

There isn't a ton of info provided in your question, however, I believe the solution is 1 = 1.

It should be noted that the value of -4 + 8 36/87 will be 4 12/29.

It should be noted that based on the information illustrated, the fraction given is illustrated as:

= -4 + 8 36/87

= -4 + 8 12/29

= 4 12/29

Therefore, it should be noted that the value of -4 + 8 36/87 will be 4 12/29.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer:

Step-by-step explanation:

4/50 * 20 = 8/5 miles

Answer:

4.625 hours

Step-by-step explanation:

Since it takes 5 hours for the inlet pipe to fill the pool, just using the inlet pipe alone will fill [tex]\frac{1}{5}[/tex] of pool in 1 hour

Since it takes 8 hours for the outlet pipe to empty the pool, just using the outlet pipe alone will empty [tex]\frac{1}{8}[/tex] of pool in 1 hour

Let us assume the pool capacity is 40 gallons

We choose 40 because it is the LCM of 5 and 8 so we can get integer values

Inflow rate = 40/5 = 8 gal per hour

Outflow rate = 40/8 = 5 gal per hour

Net rate = 8-5 = 3 gal per hour if both pipes are open

In one hour with both pipes open, the pool will have 3 gallons of water. Therefore remaining water to fill the pool is 40-3 = 37 gallons

After 1 hour, the outlet pipe is closed and only inlet pipe is open. Therefore inflow rate is 8 gal/hour and outflow rate is 0 gal/hour

So net inflow rate = 8 - 0 = 8 gal/hour

To fill 37 gallons using this rate would be 37/8 = 4.625 hours

This fraction is an improper fraction.

In improper fractions, the numerator is greater than the denominator

Answer:

7 gramos = 0,247 onzas

Explanation

Fórmula

para obtener un resultado aproximado, divida el valor de la masa por 28,35

7 ÷ 28,35

= 0.247 onzas

Answer:

[tex](x + 1)^2 + (y-8)^2 = 173[/tex]

Step-by-step explanation:

[tex]\textsf{The standard form of the equation of a circle is }\\\\ \sf (x -h)^2 + (y-k)^2 = r^2 \;where\; (h, k) \textsf{ are the coordinates of the center of the circle and \;r\; is the radius}[/tex]

Here h = -1, k = 8

So we get
[tex](x - (-1)) ^2 + (y - 8)^2 = r^2[/tex]

[tex](x + 1)^2 + (y - 8)^2= r^2\\\\[/tex]

Since the circle passes through the point (-3, -5) we can plug in these values of x = -3 and y = -5 to get r squared

[tex](-3 + 1)^2 + (-5 -8)^2 = r^2\\\\(-2)^2 + (-13)^2 = r^2\\\\4 + 169 = r^2\\\\r^2 = 173\\\\\\[/tex]

So the equation of the circle is
[tex](x + 1)^2 + (y-8)^2 = 173[/tex]

The surface area of the sphere is approximately equal to 615.752 square miles.

The surface area of a solid is the area comprised by all faces of a solid, in the case of a sphere, there is only one face whose extension is determined by the following formula:

A = 4π · r²

Where:

If we know that r = 7 miles, then the surface area of the sphere is:

A = 4π · (7 mi)²

A ≈ 615.752 mi²

To learn more on surface areas: https://brainly.com/question/2835293

#SPJ1

The area of the circle inscribed inside the square is 64π cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

The circle inside the square as shown in the diagram have a diameter of 16 cm. Hence:

Radius = diameter / 2 = 16/2 = 8 cm

Area of circle = π * radius² = π * 8² = 64π cm²

The area of the circle inscribed inside the square is 64π cm²

Find out more on equation at: https://brainly.com/question/13763238

#SPJ1

Answer:

The easiest way to find percentage is to multiply the number by 100. Like if you were required to find the percentage of 0.87 you multiply it by 100 and get 87 there for 0.87 is equal to 87%.

Step-by-step explanation:

Hope it helps! =D

The general expression for the slope of the tangent line is m = y'(x) = 4x + 2. the value of m is - 10 for x = - 3 and is 4 for x = 0.5.

A line that only touches a curve once is said to be tangent to it. The point (x₀ , y₀) where a line with the equation of a tangent to a curve

y = f ( x ) is given by:

T' (x) = f'(x) (x ₋ x₀)  ₊ y₀

The slope of the tangent line to a curve at a point is computed by getting the first derivative of the curve.

y(x)=2x²y

y'(x) = (2)2x²⁻¹ ₊ (1)2x¹⁻¹

y'(x) = 4x¹ ₊ 2x°

y'(x) = 4x ₊ 2(1)

y'(x) = 4x ₊ 2

The slope at a point

P (x, y) is computed by substituting the x-coordinate of the point to the first derivative. This is the general expression for the slope:

m = y'(x) = 4x + 2

For x = - 3

m = 4 (- 3) + 2

m = - 12 + 2

m = - 10

For x = 0.5

m = 4 (0.5) + 2

m = 2 + 2

m = 4

Therefore, the general expression for the slope of the tangent line is m = y'(x) = 4x + 2. the value of m is - 10 for x = - 3 and is 4 for x = 0.5.

Learn more about tangent here:

https://brainly.com/question/17040970

#SPJ9

Answer:

49 mile per hour

Step-by-step explanation:

Divide 634 miles by 13 hours to get 48.7, which we can round to the nearest mile (49) to match the significant digits in the problem.

Answer: $11,379 i believe

Step-by-step explanation: Multiplying 9 times the percentage value at which the cars value depreciates it gives you, 13.5%. Dividing 13155 by that 13.5% will give you the absolute value of $11379.075 in which would be $11,379.

Hope this helps!

Answer: Is the absolute difference if a is a positive number, when a = any rational number.

Step-by-step explanation:

Define Positive numbers:

Positive numbers are the numbers which are greater than zero that lies on the right side of the number line.

Example: 0, 1, 2, 3, 4…

Define Negative numbers:

Negative numbers are the numbers which are less than zero that lies on the left side of the number line.

Example: … -5, -4, -3, -2, -1, 0.

Given data,

Let a = any rational number. Is the absolute difference if a is a positive number.

Because,

Let us take,     a  =  any rational number

We have to know → Is the absolute value of a different if a is a positive number or negative number.

Define Modulus (|x|) of a number :

The modulus or absolute value of a number means the distance that goes from the number to its origin, this is, to the point 0 (zero) that makes part of the real straight line. For instance, the distance from point 6 to its origins is 6, but the distance from point -6 to its origins is also 6.

The modulus operator formula is :

             |x|  = { x if x ≥ 0     and     -x if x ≤ 0

Given question,

Assume any rational number   x/y

Using the Modulus property :

                |x|   = { x/y if x/y ≥ 0    and      -x/y if x/y ≤ 0

Therefore, if the rational number is less then zero (say -2).

Then the absolute value will be = - (- 2) = 2

and for any rational number greater than 0 (say 2)

Then its absolute value will be = 2 only.

Hence,

Is the absolute difference if a is a positive number, when a = any rational number.

Learn more about information here: brainly.com/question/11411542

#SPJ9

Distance between the two (x₁, y₁) and (x₂, y₂) coordinates are-

d = √[(x₁ - x₂)² + (y₁ - y₂)²]

The coordinates of M taken from the graph are -

M = (1.5, 3)

Now, for calculating the perimeter of triangle MOI is-

First find the distance between points O and I.

O = (0, 0) and I = (3, 0)

OI = √[(3 - 0)² + (0 - 0)²]

OI = 3 units.

The distance between MI;

MI =  √[(3 - 1.5)² + (0 - 3)²]

MI =  √[(1.5)² + (-3)²]

MI = √(2.25 + 9)

MI = 3.35 units

Now, find distance between OM

MO =  √[(1.5 - 0)² + (3 - 0)²]

MO =  √[(1.5)² + (3)²]

MO = √(2.25 + 9)

MO = 3.35 units

Thus, the perimeter of the triangle MOI is;

Perimeter = OI + MO + MI

                 = 3 + 3.35 + 3.35

Perimeter = 9.7 units.

Thus, the perimeter of the Triangle MOI is 9.7 units.

To know more about the distance formula, here

https://brainly.com/question/17273444

#SPJ9

Answer:

The answer A,B,C