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3 years ago

(2.5×10-8)(9×10-10)

Mathematics

1 answer:

IgorC [24]3 years ago

4 0

Answer:

1360

Step-by-step explanation:

First, you do all the operations inside the parenthesis, and then you multiply the two. Also, remember the order of operations. Multiplication always comes before addition and subtraction.

(2.5x10-8)(9x10-10)

(25 - 8)(90 - 10)

(17)(80) = 17x80 = 1360

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There are 158 students registered for American History classes. There are twice as many students registered in second period as

Margarita [4]

There are 28 students in first period and 56 students in sceond period and 74 students in third period

<em><u>Solution:</u></em>

Let the number of students in first period be "x"

Let the number of students in second period be "y"

Let the number of students in third period be "z"

<em><u>There are 158 students registered for American History classes.</u></em>

Therefore,

x + y + z = 158 ---------- eqn 1

<em><u>There are twice as many students registered in second period as first period</u></em>

number of students in second period = twice of number of students in first period

y = 2x ------- eqn 2

<em><u>There are 10 less than three times as many students in third period as in first period</u></em>

number of students in third period = 3 times number of students in first period - 10

z = 3x - 10 ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

x + 2x + 3x - 10 = 158

6x = 168

<em><u>Substitute x = 28 in eqn 2</u></em>

y = 2(28)

<em><u>Substitute x = 28 in eqn 3</u></em>

z = 3(28) - 10

z = 84 - 10

Thus there are 28 students in first period and 56 students in sceond period and 74 students in third period

5 0

3 years ago

A communications channel transmits the digits 0 and 1. However, due to static, the digit transmitted is incorrectly received wit

m_a_m_a [10]

Answer:

The probability that the message will be wrong when decoded is 0.05792

Step-by-step explanation:

Consider the provided information.

To reduce the chance or error, we transmit 00000 instead of 0 and 11111 instead of 1.

We have 5 bits, message will be corrupt if at least 3 bits are incorrect for the same block.

The digit transmitted is incorrectly received with probability p = 0.2

The probability of receiving a digit correctly is q = 1 - 0.2 = 0.8

We want the probability that the message will be wrong when decoded.

This can be written as:

$P(X\geq3) =P(X=3)+P(X=4)+P(X=5)\\P(X\geq3) =\frac{5!}{3!2!}(0.2)^3(0.8)^{2}+\frac{5!}{4!1!}(0.2)^4(0.8)^{1}+\frac{5!}{5!}(0.2)^5(0.8)^0\\P(X\geq3) =0.05792$

Hence, the probability that the message will be wrong when decoded is 0.05792

4 0

3 years ago

Please help!!! For extra credit.

qaws [65]

Answer:

x=24

Step-by-step explanation:

8x-13 = 7x+11; (because it's a rectangle)

8x - 7x = 11 + 13; (moving xs to one side, the rest to the other)

x = 24

7 0

3 years ago

Sophie invested 5,000 into an account that will increase in value by 2.3% each year. Write a function to model this situation, t

Zarrin [17]

Answer:

$6725

Step-by-step explanation:

Given data

Princiapal= $5000

Rate=2.3%

Time= 15years

The function that will model this situation is given as

A=P(1+rt)

The above function is a simple interest function

Substitute our data we can find the amount A

A=5000(1+0.023*15)

A= 5000(1+0.345)

A=5000(1.345)

A=5000*1.345

A=$6725

Hence the value of the investment after 15 years is $6725

5 0

2 years ago

Isosceles triangle SIX has congruent sides SI and IX and vertices S at (x, 5) , / at (- 2, 2) , and X at (4, - 1) , where x >

bazaltina [42]

Answer:

Isosceles triangles have two sides with the same length, and one side that ... Similarly, if two angles of a triangle have equal measure, then the sides ... (2) Set up an equation and solve for x. ... x = 60/2 x = 30. Each base angle of triangle ABC measures 30 degrees. ... In isosceles triangle RST, angle S is the vertex angle.

Step-by-step explanation:

8 0

3 years ago

(2.5×10-8)(9×10-10)​

(2.5×10-8)(9×10-10)