Tammy mixes the letters s, c, h, o, o, and l thoroughly. without looking, allen draws one letter. expressed as a fraction, decimal, and percentage, what is the probability that allen will not select a consonant? (1 point)

Answers

Answer 1

Answer:

There are 6 letters: (4 consonants, 2 vowels)

The probability that Allen will not select a consonant is: (2/6 which simplifies to 1/3) because there are only 2 letters out of the 6 that are not consonants

Fraction:1/3

Decimal:0.3333

Percentage:33.33%

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Mrs Perry shares out 15 biscuites between Gemma and Zak in the ratio 1:4 How many biscuites do they get each? Gemma: Zak

Answers

Number of biscuits shared by Mrs Perry = 25
ratio in which the biscuits were shared between Gemma and Zak = 1:4
Let us assume the common ratio = x
then
x + 4x = 15
5x = 15
x = 3
Then
The number of biscuits that Gemma got = 3
The number of biscuits that Zak got = 4x
= 4 * 3
= 12
So
Gemma: Zak = 3:12
I hope the procedure is clear enough for you to understand.

To work out how many each of them got, we must first nd up each part of the ratio, to find the total number of divisions. We can then divide the total by this number to get what 1 part is equal. Finally multiply by the original ratio to find out the quantity each received.
1) 1 + 4 = 5
2) 15 / 5 = 3 = 1 Part
3) Gemma = 1 x 3 = 3 biscuits
4) Zak = 4 x 3 = 12 biscuits

Gemma : Zak
3 : 12

Calculate the radius of the sphere with the given volume.

Volume=4/81π ft^3

Answers

Answer:

(∛3)/2 ft = r

Step-by-step explanation:

Start with the formula for the volume of a sphere: V = (4/3)πr³. Solve this for r³ and then take the cube root of the result:

V = (4/3)πr³ => (3/4)V = πr³ => (------- = r³

4π

3 · 4/81π ft^3 3 · 4π ft³ 3 ft³

Here we have r³ = -------------------- = ---------------- = -------------

4π 8(4π) 8

and so the radius is r = ∛[ (3/8) ft³] = (∛3)/2 ft = r

Find an equation for the linear function which has y-intercept (0,−6) and x-intercept (11,0).

Answers

For this case we have an equation of the form:
y = mx + b
Where,
The slope of the line is:
m = (y2-y1) / (x2-x1)
m = (0 - (- 6)) / (11-0)
m = 6/11
The value of b is given by:
b = -6
Substituting values we have:
y = (6/11) x - 6
Answer:
An equation for the linear function is:
y = (6/11) x - 6

Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam the garden with greatest area.

Answers

Given:
62 feet of fencing = perimeter

P = 2 (L + W)

62/2 = 31
16 + 15 = 16 * 15 = 240 ft²
17 + 14 = 17 * 14 = 238 ft²
18 + 13 = 18 * 13 = 234 ft²
19 + 12 = 19 * 12 = 228 ft²
20 + 11 = 20 * 11 = 220 ft²

The best dimensions that will give the greatest area is to have a length of 16 feet and a width of 15 feet.

Divide 4 2/15 by 3.1.

Answers

Answer:

Step-by-step explanation:

4 2/15 / 3.1 = 1.33333333333

Figure ABCD is a rhombus with point A (3, −1). What rule would rotate the figure 270° counterclockwise?(x,y)→(−y,−x)
(x,y)→(−y,x)
(x,y)→(y,x)
(x,y)→(y,−x)