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Effectus [21]
3 years ago
7

14129 Marks

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

Answer:

1. The probability that the T-shirt will be grey :-

=》

\frac{2}{20}

=》

\frac{1}{10}

=》

0.1

hence, the probability of grey t-shirt is 0.1

2. The probability that the T-shirt will not be red :-

=》

1 -  \frac{4}{20}

=》

1 -  \frac{2}{10}

=》

1 - 0.2

=》

0.8

The probability that the T-shirt will not be red is

0.8

3. He takes one of his blue T-shirts at random.

What is the probability that the T-shirt is light blue

total blue t-shirts = 5

so, the probability of choosing light blue t-shirt is

=》

\frac{1}{5}

=》

\frac{2}{10}

=》

0.2

hence, the probability of choosing light blue t-shirt is 0.2

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Answer:

480 cubic cm.        

Step-by-step explanation:  

We have been given that a wedge of cheese in he shape of a triangular prism has lengths of 10 cm, 13 cm, and 13 cm for its triangular sides. The perpendicular distance from the 10 cm side to the point of the wedge is 12 cm. The height of the wedge is 8 cm.  

\text{Volume of triangular prism}=\text{Base area*Height of the wedge}

We can see from our attachment that base of our triangular face is 10 cm and height of the triangular face is 12 cm and height of wedge is 8 cm.

Substituting these values in volume formula we will get,

\text{Volume of cheese wedge}=\frac{1}{2}*\text{10 cm*12 cm*8 cm}

\text{Volume of cheese wedge}=\text{5 cm*12 cm*8 cm}

\text{Volume of cheese wedge}=480\text{cm}^3

Therefore, the volume of cheese wedge will be 480 cubic cm.  

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3 years ago
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Step-by-step explanation:

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Solve for X. y=1/4 (x)+3
tia_tia [17]
The answer is:
____________________
x = 4y - 12 ; (Assuming the problem meant to solve for "x"; "in terms of "y").
_______________________
{Otherwise, the question might be "incomplete".}.
______________________________________________
The question seems incomplete; how can we solve for "x" when we do not know what "y" equals?
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However, it could be possible to "solve for x" in terms of "y".  To so this, we need to isolate ""x" on one side of the equation:
_______________________________
Given: <span>y=1/4 (x) + 3 ; Let us multiply the ENTIRE EQUATION (both sides) by "4", to get rid of the "1/4" (fraction coefficent) of "x", and to "cancel out" the "1/4" fraction cofficient of "x" to the implied "1"; to help solve for "x" :
________________________________________
4 *{ </span>y= 1/4 (x) + 3} ;
______________________
4y = x + 12 ; Now we can subtract "12" from EACH SIDE of the equation;                       to isolate "x" on one side of the equation; and to solve for "x":
_______________________
4y - 12 = x + 12 - 12 ;
________________________
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___________________________
x = 4y - 12 ; (Assuming the problem meant to solve for "x"; "in terms of "y").
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