Find the area of the triangle.
Area=

(Simplify your answer)

Answer:

6x+7y=2/5

im not entirely sure if its correct sorry if u get it wrong-

Answer:

A: the probability that a 1 is received is 0.56.

B:  the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

Step-by-step explanation:

To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.

a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.

Let's denote:

P(1 sent) = 0.6 (probability a 1 is sent)

P(0→1) = 0.2 (probability a 0 is flipped to 1)

P(1 received) = ?

P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)

= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)

= 0.6 * (1 - 0.2) + 0.4 * 0.2

= 0.6 * 0.8 + 0.4 * 0.2

= 0.48 + 0.08

= 0.56

Therefore, the probability that a 1 is received is 0.56.

b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.

Let's denote:

P(0 sent) = ?

P(1 received) = 0.56

We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).

Using Bayes' theorem:

P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)

P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08

P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56

Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):

P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56

Simplifying:

P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56

= 0.08 * (1 - P(0 sent)) * (1 / 0.56)

= 0.08 * (1 - P(0 sent)) * (25/14)

= (2/25) * (1 - P(0 sent))

Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?

Answer: 216

Step-by-step explanation:

592-376

592-300= 292

292-70= 222

222-6= 216

Answer:

15

Step-by-step explanation:

hope this helps

Answer:

1, 215

Step-by-step explanation:

To calculate the cost of the cover, we need to know the area of the pool. Assuming that the pool is rectangular and has the dimensions given by the four numbers provided (30, 18, 18, 6), we can calculate the area as follows:

Area = length * width

Area = 30 * 18

Area = 540 square feet

Therefore, the cover for this pool would cost:

Cost = Area * Price per square foot

Cost = 540 * $2.25

Cost = $1,215

So the cover would cost $1,215.

Part A ;

For Bus:

mean = 17.5

median = 15

mode= 15 and 16

Range= 17

For walking:

mean = 20.5

median = 20.5

mode= 20 and 21

Range= 3

For Bus

To calculate the mean:

= 16+14+15+14+31+15/6

= 105/6

= 17.5

To calculate the median;

= 14,14,15,15,16,31

= 15+15/2 = 15

To calculate the range:

= 31-14 = 17

For walking;

To calculate the mean:

= 19+20+20+21+21+22/6

= 123/6

= 20.5 mins

To calculate the median

= 20+21/2

= 20.5

To calculate the mode:

=20 and 21

To calculate the range:

= 22-19

= 3

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Answer: 62 rows

992 divided by 16 is 62, so there are 62 rows.

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Answer:

992÷16=62

Step-by-step explanation:

I hope I helped you

All the quadratic equation solution is done using general formula is true statement.

And the solution of quadratic equation is given by real number is false because it may have complex roots.

Every quadratic equation can be solved with the general formula.

This is true.

The general formula for solving a quadratic equation of the form

ax² + bx + c = 0 is equal to,

x = [-b ± √(b² - 4ac)] / 2a

This formula can be used to find the solutions to any quadratic equation.

Quadratic equations do not always have a solution in real numbers.

There are other types of solutions.

This is known as having complex roots.

For example, the equation x² + 1 = 0 has no real solutions.

Since the square of any real number is positive and cannot equal -1.

However, it does have complex solutions, which involve the imaginary unit i that is  i = √(-1).

The solutions to x² + 1 = 0 are x = i and x = -i, both of which are complex numbers.

Therefore, the quadratic equation solved using general formula is true while quadratic equation have real solution is false as it may have complex roots.

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Answer:

1 inch = 0.6 miles

= 9 inches = 0.6 miles*9

= 9 inches = 5.4 miles

Hence, the answer is 5.4 miles.

Please mark me as brainliest...

Answer:

D) ∠B ≅ ∠E

Explanation:

Given:

• Angle:, ∠A ≅ ∠D

• Side: ,AB ≅ DE

In order for triangles ABC and DEF to be congruent by ASA, the angles at the other ends of segments AB and DE must also be congruent.

Thus, the required condition is that:

The correct option is D.

Answer:

it will take at least 9 years for Lucy's investment to grow to more than $5,000. Since we can't have a fraction of a year, the answer is 10 years (rounded up from 9.09).

Step-by-step explanation:

We can solve this problem by using the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the amount of money in the account after t years

P = the initial investment (principal), which is $4,000 in this case

r = the interest rate per year, which is 3% expressed as a decimal (0.03)

n = the number of times the interest is compounded per year (we'll assume it's compounded annually, so n = 1)

t = the number of years

We want to find the number of years t it will take for the account balance to exceed $5,000. So we can set up the following inequality:

A > 5000

Substituting the values we have into the compound interest formula and simplifying, we get:

4000(1 + 0.03/1)^(1t) > 5000

Simplifying further, we get:

1.03^t > 1.25

To solve for t, we can take the logarithm of both sides of the inequality:

log(1.03^t) > log(1.25)

t*log(1.03) > log(1.25)

t > log(1.25) / log(1.03)

Using a calculator, we find that:

t > 9.09

Answer:

D. 1/4

Explanation:

By definition, two lines are parallel if they have the same slope.

Given that lines a and b are parallel; and the slope of line a = 1/4, then:

The slope of line b = 1/4.

The correct choice is D.

Answer:

41

Step-by-step explanation:

we can get this answer because:

3(3)=9

4(8)=32

and u add 32 and 9 together and get 41

Answer:

The answer is the last one

Step-by-step explanation:

\(13 ^ \frac{3}{5} \)

Answer:

a.8

Step-by-step explanation:

y=-16

-16=-2x

16=2x

x=16/2=8

The correct statement regarding the angle measures is given as follows:

m < 1 + m < 4 > m < 3.

The given angle measure is as follows:

m < 3 = 119º.

Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.

Hence the measure of angle 4 is given as follows:

m < 4 + m < 3 = 180º.

m < 4 = 180º - 119º

m < 4 = 61º.

Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:

m < 1 = m < 4

m < 1 = 61º.

Hence:

m < 1 + m < 4 = 2 x 61

m < 1 + m < 4 = 122º

122º > 119º

m < 1 + m < 4 > m < 3.

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On a coordinate plane, a vector has origin (0, 0) and terminal point (3, 2). The magnitude of the vector is 5

The magnitude of a vector can be calculated using the distance formula, which is the square root of the sum of the squares of the differences of the x and y components. In this case, the x component is 3 and the y component is 2, so the magnitude can be calculated as follows:

√(3^2 + 2^2) = √(9 + 4) = √(13) = 5

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Answer:

its D

Step-by-step explanation:

on edge

Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

Answer:

x = 30

Step-by-step explanation:

\( \triangle JLK\sim\triangle PQR\) (given)

\( \therefore \frac{JL}{PQ}=\frac{LK}{QR} \)

(corresponding sides of similar triangles)

\( \therefore \frac{20}{x}=\frac{22}{33} \)

\( \therefore \frac{20}{x}=\frac{2}{3} \)

\( \therefore x=\frac{20\times 3}{2} \)

\( \therefore x=\frac{60}{2} \)

\( \therefore x=30 \)

Or using scale factor:

Scale factor = 33/22 = 3/2

x = 20*3/2

x = 10*3

x = 30

1. The volume of the pyramid is 320ft³

3. The volume of the pyramid is 2395.83cm³

5. The volume of the pyramid is 1200in³

The volume of a rectangular pyramid can be calculated using the formula:

V = (1/3) * base area * height

Where:

1. The volume of the pyramid is calculated as;

V = 1/3 * 8 * 12 * 10 = 320ft³

3. The volume of the pyramid is;

V = 1/3 * (25 * 12.5) * 23 = 2395.83cm³

5. The volume of the pyramid is;

V = 1/3 * (15 * 15) * 16 = 1200in³

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Answer:

\(x=0.04m\)

Step-by-step explanation:

From the question we are told that:

Diameter \(d=24cm\)

Radius \(r=24/2=>12cm\)

Igniter distance \(d_g=9cm\)

Generally the equation for depth  is mathematically given by

 \(r^2=4d_gx\)

Therefore

 \(x=\frac{r^2}{4d_g}\)

 \(x=\frac{12^2}{4*9}\)

 \(x=4cm\)

 \(x=0.04m\)

The percentage of sugar price per pound less than 64 cents is 50%

From the question, we have the following parameters that can be used in our computation:

Mean = 64

Standard deviation = 2

For sugar price per pound that are less than 64 cents, we have

z = (64 - 64)/2

z = 0

This is then represented as

Probability = (z < 0)

Using a graphing calculator, we have

Probability =  0.5

Express as percentage

Probability =  50%

Hence, the probability is 50%

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Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

Answer:2.4

Hope this helps!!Please tell me if correct.

Answer: The equation that represents this proportional relationship is D: 2/3w = 2h.

To find the average rate of change of a function on a given interval, we can calculate the difference between the values of the function at the endpoints of the interval, and divide it by the difference between the values of the independent variable (in this case x) at the endpoints of the interval.

For the function y = 1/x on the interval [1, 3], we can use this method to find the average rate of change:

y(3) - y(1) = 1/3 - 1 = -2/3

x(3) - x(1) = 3 - 1 = 2

Average rate of change = (y(3) - y(1)) / (x(3) - x(1)) = (-2/3) / 2 = -1/3

So, the average rate of change of the function y = 1/x on the interval [1, 3] is -1/3.

Step-by-step explanation:

Answer:

0.5401

Step-by-step explanation:

In Standard form

due to the negativity of the power, you move the decimal point to the left...and u move it once

Explanation

This is Algeba, an aspect of Math

We are told to find th correct optionthat satisfies the condition of a and b

Given that

a =5 and b =8

To go about this, we will simply substitute a = 5 and b=8 into each of the equation and cross-check the value with 104

Let us check for the first option

Option B

Option C

Option D

Therefore, the anser is

5 years longer then Bill, 2x5=10.

10+2=12.

12-5=7

Hoang has be there for 12 years. Bill has for 7 years.

Answer:

y = - 4x + 38

Step-by-step explanation:

A(3, 9)

B(5, 1)

\(m_{AB}\) = \(\frac{1-9}{5-3}\) = - 4

CD║AB

C(9, 2)

y - 2 = - 4(x - 9)

y = - 4x + 38