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olya-2409 [2.1K]
4 years ago
15

Read the following statement: Line segment AB is congruent to line segment QR.

Mathematics
1 answer:
Ludmilka [50]4 years ago
4 0
The third one for both of those problems
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Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They
ehidna [41]

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

P = 2

G = 3

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)

This gives:

P(G_1\ and\ G_2) = P(G_1) * P(G_2)

P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}

P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}

P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}

P(G_1\ and\ G_2) = \frac{3}{10}

P(P_1\ and\ P_2) = P(P_1) * P(P_2)

P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}

P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}

P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}

P(P_1\ and\ P_2) = \frac{1}{10}

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

So, we have:

P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)

P(Same) = \frac{3}{10} + \frac{1}{10}

P(Same) = \frac{3+1}{10}

P(Same) = \frac{4}{10}

P(Same) = \frac{2}{5}

8 0
3 years ago
What is 1/8-10(3/4-3/8x)+5/8x
cluponka [151]

Answer:

x = 59/35

Step-by-step explanation:

<u>Step 1:  Distribute</u>

1/8 - 10(3/4 - 3/8x) + 5/8x

1/8 - 30/4 + 30/8x + 5/8x

<u>Step 2:  Combine like terms</u>

1/8 - 30*2/4*2 - 30/8x + 5/8x

1/8 - 60/8 + 35/8x

-59/8 + 35/8x

<u>Step 3:  Solve for x</u>

-59/8 + 35/8x + 59/8 = 0 + 59/8

35/8x * 8/35 = 59/8 * 8/35

x = 59/35

Answer:  x = 59/35

4 0
3 years ago
Solve the simultaneous equations​
nexus9112 [7]

Answer:

Step-by-step explanation:

2x + 3y = 2

x = 2 - 3y /2

x + y = 0

substitute the value of x

\frac{2 \\- 3y}{2} + y = 0

2 - 3y + 2y = 0

2 = y

again,substitute the value of y

x = 2 - 3y / 2

=2 - 3*2 / 2

=2 - 6 / 2

=-2

6 0
3 years ago
6. Which is the BEST estimate of 2.4679+7.4939? A)O5.5
Goryan [66]

Answer:

A

Step-by-step explanation:

It because I think it is the correct

4 0
2 years ago
Hey guys! Stuck on this problem. Can you please explain? Will give brainliest!
Tanzania [10]

Answer:

60

Step-by-step explanation:

1. Calculate area of front surface:

Area of rectangle + Area of smaller rectangle

6*3 + 2*1 = 20

2. then multiply the area by the depth (3)

20 * 3 = 60 cm^3

5 0
2 years ago
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