in a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the activities, 20 liked music only and 15 liked none of the activities .
i)find the total number of students in group

This question is incomplete because it lacks the attached diagram.

Find attached to this answer the appropriate diagram

Answer:

500 square centimeters

Step-by-step explanation:

From the question above, we are told that the top and bottom of the triangular prism is open.

Hence, the area of the piece of the cardboard is = Lateral Surface Area of the triangular prism

The formula for Lateral Surface Area of a Triangular Prism = Perimeter of the Triangular prism × Height of the Triangular prism.

Perimeter of the Triangular prism = Side a + Side b + Side c

Where Side a = 9cm

Side b = 9cm

Side c = 7 cm

Perimeter of the Triangular prism = 9cm + 9cm + 7cm

= 25cm

Height of the Triangular prism = 20cm

The Lateral Surface Area of the Triangular prism = 25cm × 20cm

= 500cm² or 500 square centimeters.

Since we are told that Lateral Surface Area = Area of the cardboard,

The Area of the cardboard = 500 cm² or 500 square centimeters.

Answer:

12 feet

Step-by-step explanation:

Perimeter=l+l+w+w

48.8=12.4+12.4+2w

48.8=24.8+2w

2w=24, w=12 feet

Answer:

(x-3)^2 = 4

Step-by-step explanation:

2 (x-3)^2 + 6 = 14

Subtract 6 from each side

2 (x-3)^2  = 8

Divide each side by 2

2/2 (x-3)^2 + 6 = 8/2

(x-3)^2 = 4

Answer:

x=4

Step-by-step explanation:

4(3x+5)=6(x+8)-x

Distribute

12x +20 = 6x +48 -x

Combine like terms

12x+20 = 5x+48

Subtract 5x from each side

12x-5x +20 = 5x-5x+48

7x +20 = 48

Subtract 20 from each side

7x+20-20 = 48-20

7x = 28

Divide each side by 7

7x/7 = 28/7

x = 4

Answer:

x = 24

Step-by-step explanation:

x/4+9=15

Subtract 9 from each side

x/4+9-9=15-9

x/4 = 6

Multiply each side by 4

x/4*4 = 6*4

x = 24

Answer:

[tex]x = 24[/tex]

Step-by-step explanation:

[tex] \frac{x}{4} + 9 = 15 \\ \\ \frac{x}{4} = 15 - 9 \\ \frac{x}{4} = 6 \\ 4 \times \frac{x}{4} = 6 \times 4 \\ x = 24[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

55.71 ft.

Step-by-step explanation:

hope this helps have a good day!

Answer:

Step-by-step explanation:

7/12

no. of not prime number/ total no. of number

Answer:

(x-16)(x+3)

Step-by-step explanation:

Answer:

$8,864.73

Step-by-step explanation:

Base amount: $6,000.00

Interest Rate: 5% (yearly)

Effective Annual Rate: 5%

Calculation period: 8 years

Answer:

C

Step-by-step explanation:

6x^2 + 2x - 8

Multiply the (6) to the -(8) to get x^2 by itself.

x^2 + 2x  - 48

Solve -

(x-6)(x+8) = x^2 + 2x  - 48

However, you must divide out the (6) you multiplied.

(x-6/6) =

(x-1)

(x+8/6) =

(3x + 4)

Therefore, 2(3x + 4)(x-1) is your answer.

EDIT - At the beginning of the equation it is possible to divide (2) out of the equation, this is where the (2) at the end comes from.

Answer:

4 Hz

Step-by-step explanation:

Formula: frequency = velocity/wavelength

f = 80/20

f = 4

Answer:

57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.9, n = 144[/tex]

So

[tex]\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{144}} = 0.025[/tex]

What is the probability that the proportion of people who will order coffee with their meal is within 2% of the population mean?

This is the pvalue of Z when X = 0.9 + 0.02 = 0.92 subtracted by the pvalue of Z when X = 0.9 - 0.02 = 0.88. So

X = 0.92

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.92 - 0.9}{0.025}[/tex]

[tex]Z = 0.8[/tex]

[tex]Z = 0.8[/tex] has a pvalue of 0.7881

X = 0.88

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.88 - 0.9}{0.025}[/tex]

[tex]Z = -0.8[/tex]

[tex]Z = -0.8[/tex] has a pvalue of 0.2119

0.7881 - 0.2119 = 0.5762

57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.

Answer:

Step-by-step explanation:

4-2<x<4+2

2<x<6

x = 3, 4  or 5

i assume u r talking about triangle

Answer:

C. CD=ST

Step-by-step explanation:

The conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR

From the question, we are to deduce which of the given options is correct

From the given information, the circles are congruent

Congruent circles have the same or equal radii

As indicated in the diagram,

Arc AB = Arc QR

Since, the radii of the two circles are equal and the arcs (arc AB and arc QR) are as well equal, their central angles must be equal

∴ Angle AEB = Angle QUR

Hence, the conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR

Learn more on congruent circles here: https://brainly.com/question/12044225

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Answer:

16

Step-by-step explanation:

You need to find the answer

Answer:

1397.54248594

Step-by-step explanation:

I am glad you asked!First we need to write square root for our equation.Then we need to do 125[tex]^[/tex]^3.We then need to put all this together.We get square root 125[tex]^[/tex]^3.It equals 1397.54248594.

The solution of expression is,

⇒ 1404.9

We have to give that,

An expression is,

''square root of 125 to the power of 3''

Now, It can be written as,

⇒ ( √125 )³

⇒ [tex]125^{3/2}[/tex]

⇒ (11.2)³

⇒ 11.2 × 11.2 × 11.2

⇒ 1404.9

To learn more about the Number system visit:

https://brainly.com/question/17200227

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Answer:

12.5 cm

Step-by-step explanation:

divide 125 by 10 to get 12.5

Answer:

12.5 cm

Step-by-step explanation:

10 mm=1 cm

so 125 mm=125:10 cm=12.5 cm

Answer:

Angle 2

Step-by-step explanation:

They are 90 degrees when added together

Answer:

<2

Step-by-step explanation:

Complementary angles add to 90 degrees ( form right angles)

<1 and <2 add to 90 degrees so they are complementary angles

Answer:

0.15

Step-by-step explanation:

The total amount of shirts not sold is 225 shirts. The percent of shirts not sold is 225 divided by the total number of t shirts which is 1500. 225/1500 is 0.15. So 0.15 percent of the shirts were not sold.

Hope this helps! (Please mark as brainliest)

Answer:

$96

Step-by-step explanation:

56/7=x/12

8=x/12

8*12=x

x=96

Answer:

10.5

Step-by-step explanation:

since square root of 110 is 10.4880

then we round off to the nearest hundreth

it'll be 10.5

Answer:

CD player X

Step-by-step explanation:

In this question we are asked to compare 3 CD prices to each other and see which one is the cheapest. We will need to use something called decimal multipliers for this question. We will work out the price of each CD player and then analyse after that. To work out the decimal multipliers for decrease question you have minus 100 and then divide by 1 hundred.

CD player X

→ A price of 1500 and 20% off

⇒ Work out the multiplier with the 100 and then divide by a hundred

→ 100 - 20 = 80   →   80 ÷ 100 = 0.8 So the decimal multiplier is 0.8

⇒ Now multiply the price by the decimal multiplier

→ 1500 × 0.8 = 1200

-------------------------------------------------------------------------------------------------------

CD player Y

→ A price of 2000 and 30% off

⇒ Work out the multiplier with the 100 and then divide by a hundred

→ 100 - 30 = 70   →   70 ÷ 100 = 0.7 So the decimal multiplier is 0.7

⇒ Now multiply the price by the decimal multiplier

→ 2000 × 0.7 = 1400

-------------------------------------------------------------------------------------------------------

CD player Z

→ A price of 1800 and 25% off

⇒ Work out the multiplier with the 100 and then divide by a hundred

→ 100 - 25 = 75   →   75 ÷ 100 = 0.75 So the decimal multiplier is 0.75

⇒ Now multiply the price by the decimal multiplier

→ 1800 × 0.75 = 1350

We can see the CD player X is the one that saves the most money

Answer:

Therefore, the CD player X is worth buying, since it only costs 1,200.

CD player X: 1,200

CD player Y: 1,400

CD player Z: 1,350

Step-by-step explanation:

Formula:

discount amount/original price = discount%/100%

For CD player Z:

discount amount = x

original price/regular price = 1,800

discount% = 25%

For CD player Y:

discount amount = x

original price or regular price = 2,000

discount% = 30%

For CD player X:

discount amount = x

original price or regular price = 1,500

discount% = 20%

______________________________

For CD player Z

x/1,800 = 25/100

x ⋅ 100 = 25 ⋅ 1,800

100x = 45,000

100x/100 = 45,000/100

x = 450

For CD player Y

x/2,000 = 30/100

x ⋅ 100 = 30 ⋅ 2,000

100x/100 = 60,000/100

x = 600

For CD player X

x/1,500 = 20/100

x ⋅ 100 = 20 ⋅ 1,500

100x = 30,000

100x/100 = 30,000/100

x = 300

_________________________

Formula:

Sale price = original price - discount

For CD player Z: 1,800 - 450 = 1,350

For CD player Y: 2,000 - 600 = 1,400

For CD player X: 1,500 - 300 = 1,200

Answer:

Round to 2 decimal places

0.607 => 0.61

Hope this helps!

:)

Answer: 97

Step-by-step explanation:

This can be translated to:

The Grandfather, Don José, is a old man, but is not over 100 years old.

Last year his age was a multiple of 8, and next year will be a multiple of 7.

Find the age of Don José.

Ok, if the age of Don José is X, we have that:

X is a number of two digits.

X + 1 is a multiple of 7

X - 1 is a multiple of 8.

ok, the multiples of 7 are:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

the multiples of 8 are:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

Now we must find any two numbers (one for each set) that are distanced by 2 units (because the difference between X + 1 and X - 1 is: (X + 1) - (X - 1) = 2)

We also must have that the larger number comes from the set of the multiples of 7, and the smaller number comes from the set of multiples of 8, the numbers are:

98, is multiple of 7 and this is X + 1

96 is multiple of 8 and this is X - 1

then X = 97,

Answer:

6.325

Step-by-step explanation:

Answer:

76.275

Step-by-step explanation:

First - the entire circles area is 78.54. [tex]\pi r^{2}[/tex] with r being 5

6 triangles of that size could fit in that circle.

A=3[tex]\sqrt{3}[/tex]/(2) * a2

The area of that would equal 64.95

78.54-64.95 = 13.59

then divide that number by 6

which is 2.265.

Take that number from the original 78.54

78.54-2.265 = 76.275

Answer:

0.00558

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AD}{WZ}[/tex] = [tex]\frac{CD}{YZ}[/tex] , substitute values

[tex]\frac{10}{46}[/tex] = [tex]\frac{5}{YZ}[/tex] ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

Answer:

6

Step-by-step explanation:

In order to get r by itself, you would want to multiply both sides by 6 to cancel out the denominator. From this, you get r=5.

Hope this helps :)