MATHEMATICS COLLEGE

out of 10 student, the favorite drink of 7 is Coke and the favorite drink of of the rest is fanta. a teacher picks a student at random. what is the probability that the favorite drink of the student is (a) Coke (b) fanta (c) neither Coke nor fanta (d) either Coke or fanta​

Answers

Answer 1
Answer:

Answer:

a) 0.7

b) 0.3

c) 0

d) 1

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

(a) Coke

Out of 10, 7. So

p = (7)/(10) = 0.7

(b) fanta

3 out of 10. So

p = (3)/(10) = 0.3

(c) neither Coke nor fanta

7 Coke, 3 fanta, so all 10 are either coke or fanta. Thus:

p = (0)/(10) = 0

(d) either Coke or fanta​

All 10. Thus:

p = (10)/(10) = 1

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Answers

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I’ll mark you brainliest

Answers

Answer:52°

Step-by-step explanation:

x+x+14=90

Collect like terms

x+x=90-14

2x=76

Divide both sides by 2

2x/2=76/2

x=38

angle (x+14)°=(38+14)°=52° which is vertically opposite to angle PKQ.

Since Vertically opposite angles

Therefore angle PKQ=52

The volume of a sphere is 5000 pi m^3 what’s the surface area of the sphere

Answers

Volume of sphere is given by:
V=4/3πr³
the radius of the sphere will therefore be given by:
5000π=4/3πr³
solving for r we get:
r³=3750
hence
r=15.54 m
the area will therefore be:
A=4πr²
A=4π(15.54)²A=965.49π m²

Answer:

3,033.11 m²

Step-by-step explanation:

V=3/4πr³

5,000π= 4/3 πr³

5,000= 4/3 r³

3/4 x 5,000 = r³

3,750 = r³

r = 15.536

SA = 4πr²

SA = 4π(15.536)²

SA = 3,033.11 m²

Ingredients •1 1/2
cups all-purpose flour.
• 31/2 teaspoons baking powder.
• 1 teaspoon salt.
1 tablespoon white sugar.
• 1 1/4 cups milk.
• 1 egg.
• 3 tablespoons butter.


1.) How much of each of the ingredients do you need to make 16 pancakes, 4 pancakes, 12pancakes? Explain which operations with fractions you used to obtain your answer.

Answers

Answer:

To make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.

To make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.

To make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.

see explanation below

Step-by-step explanation:

If the ingredients to make 1 pancake is as follows:

1 1/2  cups all-purpose flour; 31/2 teaspoons baking powder; 1 teaspoon salt.

1 tablespoon white sugar.; 1 1/4 cups milk; 1 egg; and 3 tablespoons butter.

Then to make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.

cups all-purpose flour =16× 1 1/2

=  16×3/2 = 24

teaspoons baking powder = 16 ×7/2 = 56

teaspoon salt = 1×16 = 16

tablespoon white sugar= 1×16 = 16

cups milk= 16×5/4 = 20

egg= 1×16 = 16

tablespoons butter= 3×16 = 48

Then to make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.

cups all-purpose flour =4× 1 1/2

=  4×3/2 = 6

teaspoons baking powder = 4 ×7/2 =14

teaspoon salt = 1×4 = 4

tablespoon white sugar= 1×4 = 4

cups milk= 4×5/4 = 5

egg= 1×4 = 4

tablespoons butter= 3×4 = 12

Then to make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.

cups all-purpose flour =12× 1 1/2

=  12×3/2 = 18

teaspoons baking powder = 12 ×7/2 =42

teaspoon salt = 1×12 = 12

tablespoon white sugar= 1×12 = 12

cups milk= 12×5/4 = 15

egg= 1×12 = 12

tablespoons butter= 3×12 = 36

The operation applied is multiplication with each fraction.

Find the slope of the line that that passes through each pair of points (-7,5) (1,1)

Answers

Answer:-(1)/(2)

Step-by-step explanation:The line is diagonal to the left(\) , so the slope is negative.

(rise)/(run)

Rise one(up), Run two(left)

So the CORRECT answer is -(1)/(2)

Rewrite (w+4)+(-3) using associative property

Answers

(w+4)+(-3) 
w+4-3
w+1
answer=w+1
the answer is -3w - 12
hope it helps
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