A frozen yogurt shop surveyed 20 customers on their favorite yogurt flavor. Four chose peanut butter, 6 chose vanilla, 8 chose chocolate mint, and 2 chose lemon. A customer from this group is selected at random. What is the probability that the customer’s favorite flavor is peanut butter?
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Answer:

a) BD = 5

b) FD = 13

Step-by-step explanation:

For both questions we follow pythagoras therom.

For the first one we do 3^2 +4^2 = 25 and then we root this answer to 5

For the second we have to find the base of  GD in order to find FD. GD will be 4^2+12^2 which equals to 160 and then you root.

Finally, we can find FD which is sqaure root of 160^2 + 3^2 = 169. The square root of 169 is 13. Answer is 13.

Answer:

Step-by-step explanation:

AD =BC = FG = EH = 3

AB = DC = EF =HG = 4

BF =AE = DH = CG = 12

Use Pythagorean theorem,

Hypotenuse² =  base² +altitude²

BD² = DC² + BC²

       = 4² + 3²

        = 16 + 9 = 25

BD = √25

BD = 5

DG² = DC² + CG²

       = 4² + 12²

       = 16 + 144

       = 160

FD² = DG² + FG²

      = 160 + 3²

      = 160 + 9

      = 169

FD = √169 = 13

FD = 13        

Answer:

A

Step-by-step explanation:

x+y≥14

xy<40

Answer: 21.21 cm

Step-by-step explanation:

Given

length of diagonal on the square is 30 cm

Suppose a is the side length of the square

and length of diagonal is given as [tex]a\sqrt{2}\ units[/tex]

So,

[tex]\Rightarrow a\sqrt{2}=30\\\\\Rightarrow a=\frac{30}{\sqrt{2}}=21.21\ cm[/tex]

Thus, the side length of the square is 21.21 cm

Answer:

The answer is ( -1 , 3 ) in point form and in eqaution form it is x = -1 , y = 3

Answer:

Speed = 1.0625 km / sec

Step-by-step explanation:

Distance = 34 kilometers

Time = 32 seconds

Speed = ?

The relationship between these quantities is given as;

Speed =  Distance / Time

Inserting the values;

Speed = 34 km / 32 sec

Speed = 1.0625 km / sec

Answer:

40 Percent

Step-by-step explanation:

I just used a calculator.

Step-by-step explanation:

4 cubic blocks would be required to find the volume of the glass case.

Answer:

4

Step-by-step explanation:

Answer:

divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share. since there are 6 shares, you multiply that by the amount of eros sam and bethan gets each share.

Step-by-step explanation:

divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share. since there are 6 shares, you multiply that by the amount of eros sam and bethan gets each share.

Answer:

2( 2x -3)(x- 5)

Step-by-step explanation:

step 1 . factor 2 out ( because when you multiply the 2 again with the equation it will give you the main equation)

2 ( 2x^2 - 13x + 15 )

step 2 . factor now by regrouping

2( 2x- 3 )( x - 5)

hope it helps

Answer:

53.44 cubic meters

Step-by-step explanation:

A cylindrical oil drum is 2.1 meters high and has a radius of 0.9 meters. How many cubic meters of oil can the drum hold? (volume)

Volume of a cylinder = π × r² × h

r = 0.9 meters

h = 2.1 meters

= π × (0.9m)² × 2.1m

= 53.44 cubic meters

Therefore, the volume of the cylindrical oil drum = 53.44 cubic meters

Answer:

3x+33+5x+13=70

8x+33+13=70

8x+46=70

8x=24

x=3

Let me know if this helps!

Answer:

second one

Step-by-step explanation:

can you help me with my question

Answer:

D

Step-by-step explanation:

I DID THE TEST RIGHT NOW

Answer:

i m insha i no the z=7and jehdbxh jsjzhwj

dj dad nen

Answer:

Step-by-step explanation:

[tex]7\frac{1}{4}*\frac{8}{9}*\frac{3}{4}=\frac{29}{7}*\frac{8}{9}*\frac{3}{4}\\\\=\frac{29*8*3}{7*9*3}\\\\=\frac{29*2*1}{7*3*1}\\\\=\frac{58}{21}\\\\=2\frac{16}{21}\\[/tex]

Step-by-step explanation:

it's easy to prove in any right triangle with a 30° angle, the side opposite to that angle is half the hypotenuse. CA (1/2)BC, CA/BC=1/2

Step-by-step explanation:

Take an equilateral triangle of side.

Bisec it through a vertex and the midpoint of the opposite side.

You now have two right-angled triangles with angels 30° , 60°, 90° with the edge opposite the 30° of length 1/2 and hypotenuse 1. So

sin (30°) = 1/2/1= 1/2.

Answer: The right angled triangle you describe has angels of 45 degrees, not 30 degrees.

What you proved is sin 45 = 1\2 , which is correct.

Answer:

They each get 1 3/4 pounds of cashews

Step-by-step explanation:

7 ÷ 4 = 1.75

1.75 ( 1 3/4)

Answer:

Step-by-step explanation:

tan49=h/17

h=17tan49

h=19.6 m

The height of the cliff is 19.6 m tall

A right angled triangle is a triangle (has three sides and three angles) in which one of the angles measure 90°.

Trigonometric ratios is used to show the relationship between the sides of the right angled triangle and its angles.

Let h represent the height of the cliff. Let θ = 90 - 49 = 41°. Hence:

tan(41) = 17/h

h = 17 / tan(41) = 19.6 m

Therefore the cliff is 19.6 m tall

Find out more at: https://brainly.com/question/3770177

Answer:

10

Step-by-step explanation:

your answer is 10 I worked it out and it's correct

Answer: 5 hours

Step-by-step explanation:

She has already read 50 pages so we need to deduct that to calculate the answer:

= 175 - 50

= 125 pages left

She can read at a speed of 25 pages per hour. The number of hours it would take to read the remainder of the book would therefore be:

= 125 pages / 25 pages per hour

= 5 hours

Answer:

5

Step-by-step explanation:

A product is an answer to a multiplication problem and sum is the answer to an addition problem.

25 is the product, and -10 is the sum.

Factors of 25 is 5 and 5.

-5+-5=10.

But two negatives multiplied equals a positive.

-5 x -5=25

-5 + -5 = 10

---

hope it helps

Answer:

The two numbers are -5 and -5

Step-by-step explanation:

Let x and y be the two numbers respectively

xy = 25  --(1)

x + y = -10 --(2)

From (1), x = 25/y [You get x in terms of y]

Sub x = 25/y into (2)

25/y + y = -10  [Equation (2) is x + y = -10, but you got x = 25/y]

[Multiple the whole equation by y]

25 + y^2 = -10y

y^2 + 10y + 25 = 0 [This is a quadratic equation if you don't know]

y = -5

Sub y = -5 into (1)

x = -5

Answer:

79

Step-by-step explanation:

Order of operations GERMDAS

Grouping: no grouping

Exponents: 9²=81 so 6÷3+81-4

Radicals: no radicals

Multiplication: no multiplication

Division: 6÷3=2 so 2+81-4

Addition: 2+81=83 so 83-4

Subtraction: 83-4=79

Answer:

79

Step-by-step explanation:

6/3+9^2-4             9^2= 81           6/3+81-4                  6/3 = 2                  2+81-4= 79

Answer:

$400

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Answer:

1.the sum of three consecutive odd number is 177 find the number

let three consecutive odd number be x,x+2&,x-2.

by question

answer

x+x-2+x+2=177

3x=177

x=177/3=59

x-2=59-2=57

x+2=59+2=61

required no are 59,57&61

2. find three consecutive even

number which add 1524

answer

let three consecutive even

number be x-2,x+2&x

by question

x-2+x+2+x=1524

3x=1524

x=1524/3=508

x-2=508-2=506

x+2=508+2=600

required no are 508,506&600

3.when a number is doubled and the added to 13 the result is 3.8 find the number

answer

let no be x

by question

2x+13=3.8

2x=3.8-13

x=-9.2/2=-4.6 is the required number

a _______________________________

Answer:

a

Step-by-step explanation:

2 x 4 is 8

2.5 x 4 is 10

3 x 4 is 12

Answer:

D. 4.5

Step-by-step explanation:

Answer:

(4,5)

Step-by-step explanation:

Answer:

the first one should be (0,-5)

the second should be (-2,1)

Step-by-step explanation:

You substitute the given value of y into your equation. 6x-y=5

6x-(-6x-5)=5

x=0

y=-6 * 0-5

y=-5

(x,y)=(0,-5)

AND

7x-6(4x+9)=-20

x=-2

y=4x(-2)+9

y=1

(-2,1)

hope this helps!