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3 years ago

What is the difference between integers and real numbers?

1 answer:

galina1969 [7]3 years ago

5 0

Integers are positive and negative whole numbers no fractions or decimals.
Real numbers do have fractions and decimals that integers do not.

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What is the measure of x? (Geometry question involving circles...)

marusya05 [52]

Answer:

If I am correct it is either 344 degrees or 172 degrees because the highlighted area only takes over half of the circle meaning it has to be 172 or 344 as it is the only numbers over or close to 180 degrees

Hope this Helped!

3 0

3 years ago

Which graph represents the system of inequalities?

Free_Kalibri [48]

Sshshshahahahahs 2

.3blankw

Shshshshhaahahah hard usti 5 to 5
.down C

3 0

3 years ago

1A research firm finds that the average number of customers that are in Somerset Mall on a

SpyIntel [72]

Answer: C(t) = -475.5*cos(t*pi/6) + 475.5

Step-by-step explanation:

We know that we have a sinusoidal relation, with a minimum at 9:00 am and at 9:00 pm.

If we define the 9:00 am as our t = 0, we have that the maximum, at 3:00pm, is at t = 6 hours.

and the other minimum, at 9:00pm, is at t = 12 hours.

Then we need to find a trigonometric function that has the minimum at t = 0, we can do this as:

-Cos(c*t)

when t = 0

-cos(0) = - 1

then we have a function:

C(t) = -A*cos(c*t) + B

where A, c and B are constants.

We know that at t = 0 we have 0 customers, and that at t = 6h we have 875 customers, that is the maximum.

then:

C(0) = 0 = -A + B

this means that A = B, then our function is:

C(0) = -A*cos(c*t) + A.

now, at t = 6h we have a maximum, this means that -A*cos(c*6h) = A

then:

C(6h) = A + A = 875

2A = 875

A = 875/2 = 437.5

and we also have that, if -cos(c*6) = 1

then cos(c*6) = -1

and we know that cos(pi) = -1

then c*6 = pi

c = pi/6

Then our function is

C(t) = -475.5*cos(t*pi/6) + 475.5

8 0

3 years ago

2x-5y=3 4y-x=-3 solve by elimination

loris [4]

Answer:

x = -1 and y = -1

Step-by-step explanation:

to solve this equation we say

let

2x-5y=3.......................................... equation 1

4y-x=-3............................................equation 2

from equation 2

4y-x=-3............................................equation 2

4y + 3 = x

i.e

x = 4y + 3 ............................................. equation 3

put x = 4y + 3 in equation 1

2(4y +3) - 5y = 3

8y + 6 -5y = 3

3y +6 = 3

3y= 3-6

3y -3

divide both sides by the coefficient of y which is 3

3y/3 = -3/3

y = -1

put y = -1 into equation 3

x = 4y + 3 ............................................. equation 3

x = 4(-1) + 3

x = -4 + 3

x = -1

therefore the value of x = -1 and y = -1 respectively

4 0

3 years ago

The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000

mel-nik [20]

Answer:

0.018 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 60,000 miles

Standard Deviation, σ = 1500 miles

We are given that the distribution of tread life is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(brand will last between 56,850 miles and 57,300 miles)

$P(56850 \leq x \leq 57300) = P(\displaystyle\frac{56850 - 60000}{1500} \leq z \leq \displaystyle\frac{57300-60000}{1500}) = P(-2.1 \leq z \leq -1.8)\\\\= P(z \leq -1.8) - P(z < -2.1)\\= 0.0359 - 0.0179 = 0.018= 1.8\%$

$P(56850 \leq x \leq 57300) = 1.8\%$

0.018 is the probability a certain tire of this brand will last between 56,850 miles and 57,300 miles.

7 0

4 years ago