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In-s [12.5K]
3 years ago
12

Plz help!!!! Need quick. 65 points

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0

Answer:

\frac{2}{3}m^2

Step-by-step explanation:

The area of any rectangle is the formula hb\:or\:wl = A, so you multiply both fractions:

[\frac{3}{4}][\frac{8}{9}] = \frac{24}{36} = \frac{2}{3}

Greatest Common Divisor [GCD]: 12

I am joyous to assist you anytime.

DanielleElmas [232]3 years ago
4 0

Answer:

The area of the mat is 2/3 m^2

Step-by-step explanation:

Area of a rectangle is length times width or

A = l x w

8/9 x 3/4 =

24/36 =

2/3

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A contractor is required by a county planning department to submit one, two, three, four, five, or six forms (depending on the n
Ratling [72]

Answer:

a)

k = \dfrac{1}{21}

b) 0.476

c) 0.667    

Step-by-step explanation:

We are given the following in the question:

Y = the number of forms required of the next applicant.

Y: 1, 2, 3, 4, 5, 6

The probability is given by:

P(y) = ky

a) Property of discrete probability distribution:

\displaystyle\sum P(y_i) = 1\\\\\Rightarrow k(1+2+3+4+5+6) = 1\\\\\Rightarrow k(21) = 1\\\\\Rightarrow k = \dfrac{1}{21}

b) at most four forms are required

P(y \leq 4) = \displaystyle\sum^{y=4}_{y=1}P(y_i)\\\\P(y \leq 4) = \dfrac{1}{21}(1+2+3+4) = \dfrac{10}{21} = 0.476

c) probability that between two and five forms (inclusive) are required

P(2\leq y \leq 5) = \displaystyle\sum^{y=5}_{y=2}P(y_i)\\\\P(2\leq y \leq 5) = \dfrac{1}{21}(2+3+4+5) = \dfrac{14}{21} = 0.667

8 0
3 years ago
- 4 = -17 + x<br> - 4 = - 17 + x
leva [86]

Answer:

x = 13

Step-by-step explanation:

- 4 = -17 + x

Add 17 to each side

- 4+17 = -17+17 + x

13 =x

7 0
4 years ago
Read 2 more answers
What is one<br>plus two?​
alexdok [17]

Answer:

one plus two is three

Step-by-step explanation:

1+2 = 3

8 0
3 years ago
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For the following exercises, determine whether each of the following relations is a function.
irina1246 [14]

Answer:

The relation y=2x+8 is a function because the two different output values of the function have the one unique input value.

Step-by-step explanation:

The given relation is y=2x+8.

It is required to determine the relation is a function.

This solution can be obtained by using the concept of function. First write the given relation y=2x+8 and determine whether the given relation is a function.

Step 1 of 1

The given relation is y=2x+8.

This relation shows that the two different output values of the function have one unique input value and this relation is a linear function.

Hence, the relation is a function.

3 0
2 years ago
Find the volume of the prism
Gnom [1K]

The volume of a prism is given by its base area multiplied by its height.

The bases are two right triangles. If we project everything on the xy plane, we can see that the vertices of the base triangle is

A = (0,0),\quad B = (3,0),\quad C = (0,4)

So, leg AB is 3 units long, and leg AC is 4 units long. This means that the area of the triangle is

A = \dfrac{\overline{AB}\times\overline{AC}}{2} = \dfrac{3\times 4}{2} = 6

The height of the prism connects, for example, points (0,0,0) and (0,0,5), so it's 5 units long. So, the volume of the prism is

V = A \times h = 6 \times 5 = 30

4 0
3 years ago
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