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3 years ago

Pls help- the question kept cutting off before:

Mathematics

1 answer:

ozzi3 years ago

7 0

Answer:

r can be 0.5

Step-by-step explanation:

Here, we want to get a possible value of r

From the question, the value of r is between 0 and 3

Mathematically, we know that in degrees pi is the same as 180 degrees

In a case where we have r = 1/2

we have it that;

cos(pi/2) = 2 cos (pi/2)

Since pi/2 is 90 and cos 90 is zero; then we have it that the two sides of the equation is the same and r can be 1/2

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Triangular numbers can be represented with equilateral triangles formed by dots the first fire triangle numbers are 1 3 6 10 and

zhannawk [14.2K]

Answer:

There's no direct variation

Step-by-step explanation:

Required

Determine if there's a direct variation between the number and its position

I'll start by giving an illustration of how the triangle is represented using stars (*)

***

****

*****

Represent the line number with y and it's position with x

On line 1:

y = 1, x = 1

On line 2:

y = 2, x = 3

On line 3:

y = 3, x = 6

On line 4:

y = 4, x = 10

On line 5:

y = 5, x = 15

Note that, x is gotten by calculating the accumulated number of stars while y is the line number.

Direct variation is represented by

y = kx

kx = y

Where k is the constant of variation

For line 1:

Substitute 1 for y and 1 for x

k * 1 = 1

k = 1

For line 2:

Substitute 2 for y and 3 for x

k * 3 = 2

Divide through by 3

k = ⅔

Note that the values of k in both computations differ.

This implies that there's no direct variation and there's no need to check further.

3 0

3 years ago

The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes

kifflom [539]

We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.

(a) Average time that it would take reach school can be obtained by adding the average times.

8+20 = 28 minutes.

(b) Standard deviation of the trip to school can be found as:

$\sigma =\sqrt{2^{2}+4^{2}}=\sqrt{4+16}=\sqrt{20}=4.47$

Therefore, standard deviation of the entire trip is 4.47 minutes.

We need to find the probability such that $P(x>30)=P(z>0.447)=0.67$

Therefore, the required probability is 0.67.

(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.

(e) Standard deviation won't change it will remain 4.47

(f) The new probability will be:

$z=\frac{x-\mu }{\sigma }=\frac{30-90}{4.47}=0$

$P(x>30)=P(z>0)=0.5$

Therefore, probability will be 0.50.

6 0

3 years ago

Read 2 more answers

You wish to mentally estimate the total cost of items that have the following prices: $1.85, $.98, $3.49, $9.78, and $6.18. Roun

Tanzania [10]

If you wish to mentally estimate the total cost of items, rounding off the items to the nearest half dollar, then you have to consider all five items separately.

Five items cost $1.85, $.98, $3.49, $9.78, and $6.18.

1. $1.85≈$2;

2. $0.98≈$1;

3. $3.49≈$3.50;

4. $9.78≈$10;

5. $6.18≈$6.

Then the total cost is

$2 + $1 + $3.50 + $10 + $6 =$22.50.

Answer: correct choice is C

4 0

3 years ago

Read 2 more answers

Which expression has a value of 36?

IrinaK [193]

The answer is A or C

7 0

3 years ago

What is the answer and work to this problem. 4x+2y=14 2x+y=7

Nimfa-mama [501]

The given system of equation has no solution.

Step-by-step explanation:

step 1 :

The given equations are 4x + 2y = 14 and 2x + y = 7.

step 2 :

Let 4x + 2y = 14 be the first equation.

Let 2x + y = 7 be the second equation.

The solution (x,y) can be determined by solving the two equations, if only the given two equations are different.

step 3 :

In first equation taking 2 out as a common factor on both sides, the equation becomes:

2 (2x + y) = 2 (7)

So, the first equation resembles the second one.

step 4 :

Since both the equations are similar, they cannot be solved to get a solution. Therefore, the system of equation has no solution which is also known as inconsistent.

5 0

4 years ago