A group of 80 students in a collage are surveyed.They are asked which of Spanish or French they are studying.71of the students surveyed studies at least one of the two languages.
a)Complete the Venn diagram.
b)How many students study only french?
c)How many students study Spanish?

Answer:

8 centermeters

Step-by-step explanation:

Answer:

£320

Step-by-step explanation:

So

The sale price is reduced 40% of the actual price

Actual price - 40% = £192

Actual price is the 100% price of the bike.

100% - 40% = £192

60% = £192

60% of the actual price of the bike is £192 but we need to find 100%.

To do that we need to find the price of 1%. To find this value we divide 60 into 192

\(192 \div 60 = 3.2\)

£ 3.2 is the 1% of the actual price.

To find the actual price (100%), you multiply 3.2 by 100

\(3.2 \times 100 = 320\)

So the actual price is £320

Hope this helps :)

Step-by-step explanation:

£192 = 60% of the original price (reduced by 40%).

1% of the original price = 60%/60 = 192/60 =

= 64/20 = 16/5 = 3.2

100% of the original price = 100×1% = 100×3.2 = £320

the bike cost £320 before the sale.

The statements that are true regarding the measures of center and variability of these data sets include:

A. The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.

C. The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.

E. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.

In Mathematics and Statistics, the mean for any set of data can be calculated by using the following formula:

Mean, \bar{x} = ∑x/n

Where:

Based on the information provided, we have:

Mean of Yard Works = (7+9+7+12+5)/5

Mean of Yard Works = 8.

Mean of Grow Station = (9+11+6+12+7)/5

Mean of Grow Station = 9.

Range is the difference between the maximum and minimum numbers;

Range of Yard Works = 12 - 5

Range of Yard Works = 7.

Range of Grow Station = 12 - 6

Range of Grow Station = 6.

Mean absolute deviation is given by;

MAD = 1/n ∑|x - μ|

Where:

Mean absolute deviation of Yard Works = 2

Mean absolute deviation of Grow Station = 2.

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Answer:

X = 1

Step-by-step explanation:

I think

Answer:

I belive its 300

Step-by-step explanation:

Brainlist?

Answer: One moment, good sir.

Step-by-step explanation:

Answer:

Step-by-step explanation:d

Answer:

It is 5/7 m/s

Step-by-step explanation:

You rise up 5 from y=25 and run to the right 7

Hope it helps

Answer:

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Step-by-step explanation:

Answer:

9.57%

Step-by-step explanation:

7-6.33/7 = 0.00957

0.00957×100% = 9.57%

Answer:

y = -2.50x + 50

3.00

Step-by-step explanation:

Answer:

x = 11

BC = 23

AD = 29

EF = 26

Step-by-step explanation:

Given:

Trapezoid ABCD, having,

median = EF = 4x - 18

base BC = x + 12

base AD = 3x - 4

Required:

Part I: value of x

Part II: Length of BC, AD, and EF.

Solution:

Part I: Value of X

The median length of a trapezoid is said to be the ½ of the sum of the 2 bases of the trapezoid.

Therefore, EF = ½(BC + AD)

4x - 18 = ½((x + 12) + (3x - 4)

4x - 18 = ½(x + 12 + 3x - 4)

4x - 18 = ½(x + 3x +12 - 4)

4x - 18 = ½(4x + 8)

Multiply 2 by both sides

2(4x - 18) = 4x + 8

8x - 36 = 4x + 8

Add 36 to both sides

8x - 36 + 36 = 4x + 8 + 36

8x = 4x + 44

Subtract 4x from both sides

8x - 4x = 4x + 44 - 4x

4x = 44

Divide both sides by 4

x = 11

Part II:

BC = x + 12 = 11 + 12 = 23

AD = 3x - 4 = 3(11) - 4 = 33 - 4 = 29

EF = 4x - 18 = 4(11) - 18 = 44 - 18 = 26

Answer:

200.96cm^2 base area

Step-by-step explanation:

Eq of circle area  = πr^2

= 3.14 x 8^2

  3.14 x 64

  200.96cm^2

.

The area of the base of the Vat is 200.96 ft².

where

r = radius

π = 3.14

The grape juice is added to the large cylindrical vat. The diameter of the grape Juice is 16 feet.

Therefore,

Base area of the cylinder is a circle.

Base area = πr²

diameter = 16 feet

radius = 16 / 2 = 8 feet

Base area = 3.14 × 8²

Base area = 3.14 × 64

Base area = 200.96 ft²

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Answer:

b=p/2 -l=54/2-15

= 27 -15=12

so 12 is the breadth

a of rectangle =l x b

15 x 12

= 180

a of garden =180yd

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Answer:

it's unavailable

Step-by-step explanation:

you have to solve the bracket first

after that u move -3 , when u move it becomes positive 3

but because 2d-2d so it equals to 0

therefore the answer is unavailable

Answer:

12x12 12x6 H = 46cm

Step-by-step explanation:

took quiz

Answer:

46 cm

Step-by-step explanation:

I learned this formula in math last year

Answer:

1. A=80. wl=a that is the same as 10x8=80

2.A=17. 4·8.52=17

Answer:

Step-by-step explanation:

Answer:

  D.  28 square centimeters

Step-by-step explanation:

The surface area of the prism is the sum of the base areas and the lateral area. Here, the base is an odd shape, so it must be decomposed into shapes we can find the area of.

__

The base of this prism is the L-shaped face nearest the observer. It can be decomposed into a 1 cm square atop a 1 cm by 3 cm rectangle. The area of the face is the sum of the areas of these parts.

  square area = s² . . . . where s is the side length

  = (1 cm)² = 1 cm²

  rectangle area = bh . . . . b is the base, h is the height

  = (3 cm)(1 cm) = 3 cm²

Then the area of the one prism base we see is ...

  base area = 1 cm² +3 cm² = 4 cm²

The total area of both L-shaped bases of the prism is ...

  total base area = 2(4 cm²) = 8 cm²

__

The perimeter of the base is the sum of the lengths of its edges. Working clockwise from the lower left corner, we find the base perimeter to be ...

  (1 +2 +1 +1 +2 +3) cm = 10 cm

The lateral area is the product of the "height" of the prism (the distance between the parallel bases) and this perimeter length.

  LA = Ph

  LA = (10 cm)(2 cm) = 20 cm²

__

The surface area of the solid is the sum of the areas of the bases and the lateral area:

  total surface area = total base area + LA

  = (8 cm²) +(20 cm²) = 28 cm²

The surface area of the solid is 28 square centimeters.

Answer:

A the result when both numbers are added together

Answer:

A, C

Step-by-step explanation:

70% * 42

= 10% * 42 *7

= 1% *42 * 70

Answer:

A and C

Step-by-step explanation:

10*7=70

1*70=70

But the rest are smaller or bigger than 70

Answer:

A

Step-by-step explanation:

It shows 120 for both the sides of the angle, which makes it parallel.

B is wrong because they don't have the same angle measure.

C is wrong because they don't have the same angle measure.

D is also wrong, because it shows both the measures of angle A, and you don't know what angle B is.

Hope this helps!

Please put me as Brainliest.... if you want

Answer:

57 km/h.

Step-by-step explanation:

the car traveled for 5 hours total

60+60+55+55+55 =285

285/5 = 57

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

Answer:35

Step-by-step explanation:

B+28=63, so B=63-28=35

The daily recommended intake of sodium for a 2,000 calorie diet is 2000 calorie diet is 2500 mg.

Healthy diet:

A healthy diet helps protect against malnutrition in all its forms and is a foundation for health and development. It also helps to prevent noncommunicable diseases including diabetes, cardiovascular diseases, some cancers and other conditions linked to obesity.

In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.

\(\text{Total sodium = 1310 + 350 = 1660}\)

We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:

\(\frac{1660}{x} \frac{mg}{mg} = \frac{66.4}{100} \\\\66.4*x = 1660*100\\x=\frac{166000}{66.4} = \bold{2500\text{ mg}}\)

Hence, the daily recommended intake of sodium for a 2,000 calorie diet is 2000 calorie diet is 2500 mg.

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