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alexandr1967 [171]
2 years ago
10

A) Fiona has shirts, pants, socks, and shoes and she has 4 colors of each which are blue, gray, orange, and black that she can w

ear to her co-op placement. draw a tree diagram
b) what is the probability that she starts with a black shirt.
Mathematics
1 answer:
Ivan2 years ago
4 0

Answer:

the probability = 1/4

Step-by-step explanation:

Check the diagram tree I provided (it’s incomplete because it’s so long)

the probability that she starts with a black shirt equal to :

p=\frac{1}{4} \times \frac{4}{4} \times \frac{4}{4} \times \frac{4}{4}  = \frac{1}{4}

because she has :

One choice to pick a black shirt out of 4 colors

4 choices to pick pants out of 4 colors

4 choices to pick socks out of 4 colors

4 choices to pick shoes out of 4 colors

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Factor the quadratic equation of y= 4x^2 + 16x -48
vodka [1.7K]

Answer:

y = 4(x+6)(x-2)

Step-by-step explanation:

y = 4x² + 16x - 48, factor out the 4

y = 4(x² + 4x - 12), find factors of 12

Factors of 12:

1*12, 2*6, 3*4; find a pair that sums to 4x or 4

6-2 = 4, since 12 is a negative number, a number in the factor must be negative, in this case, making 2 negative, would make 6-2 = 4

y = 4(x+6)(x-2)

8 0
2 years ago
The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm h
noname [10]

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

  • M ∝ AT

Removing the proportionality sign,

  • M = KAT

Where:

  • K = constant of proportionality.

make K the subject of the equation:

  • K = M/KT.................... Equation 1

From the question,

Given:

  • M = 200 g
  • A = 250 cm²
  • T = 1 mm = 0.1 cm

Susbtitute into equation 1

  • K = 200/(250×0.1)
  • K = 8 g/cm³

Formula:

  • M = 8AT................. equation 2

Hence the formula of the relation is M = 8AT

If,

  • A = 400 cm²
  • T = 3 mm = 0.3

Substitute these values into equation 2

  • M = 8(400)(0.3)
  • M = 960 g

Hence,  the mass of the metal sheet is 960 g

Learn more about joint variation here: brainly.com/question/26047253

6 0
2 years ago
Since opening night, attendance at play A has increased steadily, while attendance at play B first rose and then fell. Equations
lbvjy [14]

Answer:

(5,151) and (16,316) are days with equal attendance for both plays.

Step-by-step explanation:

brainly.com/question/8102047

8 0
3 years ago
Read 2 more answers
Will mark brainliest IF you explain and solve
TEA [102]

Answer:

A) y = (x + 3)² + 4

B) y = (x - 3)² + 2

C) y = (x - 1)² - 5

Step-by-step explanation:

2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)

As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to

"+ 4" to shift the curve upward by 2

y = (x + 3)² + 4

When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)

This means that the term in parenthesis must be zero with our desired x value

(3 + C)² = 0

3 + C = 0

C = -3

y = (x - 3)² + 2

4 units right and 7 units down mean that the vertex is desired at (1, -5)

(1 + C)² = 0

C = -1

y =  (x - 1)² - 5

4 0
3 years ago
Nine more than half of a number is 21
pogonyaev
I assume you're looking for the number:
0.5n + 9 = 21
- 9
0.5n = 12
÷ 0.5
n = 24
So the beginning number is 24, hope this helps!
3 0
3 years ago
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