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3 years ago

Find the probability

Mathematics

2 answers:

QveST [7]3 years ago

8 0

Answer:

1/5

Step-by-step explanation:

If there are 2 red marbles out of 10, then the probability that it is a red marble is 2/10 or 1/5.

Leto [7]3 years ago

5 0

Answer:

$\frac{1}{5}$

Step-by-step explanation:

Red: 2

Blue: 4

Yellow: 4

$\frac{2}{10}$

$\frac{2/2}{10/2}=\frac{1}{5}$

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Four more than three times a number is equal to 25. What is the number?

IgorC [24]

Answer:

Step-by-step explanation:

(3x7)+4=25

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4 years ago

What is probability that matt will select one of the letters in the word jump

jeka57 [31]

Answer:

1 outta of 4

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po

astra-53 [7]

Answer:

a. See Attachment 1

b. $PT = 12.3\ m$

c. $HT = 31.1\ m$

d. $OH = 28.4\ m$

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OT}{20}$

Multiply both sides by 20

$20 * tan50 = \frac{OT}{20} * 20$

$20 * tan50 = OT$

$20 * 1.1918 = OT$

$23.836 = OT$

$OT = 23.836$

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

$20 * tan30 = OP$

$20 * 0.5774= OP$

$11.548 = OP$

$OP = 11.548$

$PT = OT - OP$

$PT = 23.836 - 11.548$

$PT = 12.288$

$PT = 12.3\ m$ (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

Substitute 20 for OH and $OT = 23.836$

$HT^2 = 20^2 + 23.836^2$

$HT^2 = 400 + 568.154896$

$HT^2 = 968.154896$

Take Square Root of both sides

$HT = \sqrt{968.154896}$

$HT = 31.1\ m$ (Approximated)

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

$OT * tan50 = \frac{OH}{OT} * OT$

$OT * tan50 = {OH$

$OT * 1.1918 = OH$

Substitute $OT = 23.836$

$23.836 * 1.1918 = OH$

$28.4= OH$

$OH = 28.4\ m$ (Approximated)

5 0

3 years ago

-2x - 69 = -9x + 29

UkoKoshka [18]

Answer:

x = 98 /7

= 14

Step-by-step explanation:

7x − 98 = 0

7(x − 14) = 0

8 0

3 years ago

Read 2 more answers

The length, width, and height of a rectangular prism is a, (a-13), and (a+13) respectively, which statement best describes (a-13

4vir4ik [10]

Option A

The width of the rectangular prism is 13 units less than the length

Solution:

Given that, the length, width, and height of a rectangular prism is a, (a-13), and (a+13) respectively

From given question,

Length of rectangular prism = a

Width of rectangular prism = a - 13

Height of rectangular prism = a + 13

We have to find which statement best describes (a - 13)

From given (a - 13) means Width of rectangular prism

Therefore,

Width of rectangular prism = (a - 13)

We know that from given "a" denotes Length of rectangular prism

So we get,

Width of rectangular prism = (Length of rectangular prism - 13)

So the above expression means that width is 13 units less than length

So option A is correct. The width of the rectangular prism is 13 units less than the length

Let us also analyse the options one by one

a.) the width of the rectangular prism is 13 units less than the length

Which is written mathematically as,

width = length - 13 = a - 13

So this option is correct

b. the height of the rectangular prism is 13 units more than the length

Which is written mathematically as,

height = 13 + length = 13 + a

So this option does not describes (a - 13)

c. the width of the rectangular prism is 13 units less than the height

Which is written mathematically as,

width = height - 13 = a + 13 - 13 = a

So this option does not describes (a - 13)

d. the length of the rectangular prism is 13 units less than the height

Which is written mathematically as,

length = height - 13 = a + 13 - 13 = a

So this option does not describes (a - 13)

5 0

3 years ago