-2√7 rational or irrational?

Answers

Answer 1

Answer:

Answer

$-2\sqrt 7$ $\text {is an irrational number}$

Explanation

$-2\sqrt 7$ is an irrational number, an irrational number is a number that contains repeating decimals or that cannot be written as a simple fraction.

Answer 2

Answer:

The sqrt(7) part makes it irrational, so the answer is irrational.

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I'm having trouble with finding the solutions.

Answers

Answer:x=−8 and y=8

Step-by-step explanation: Do you want it solved step by step?

Answer:

One solution, (-8,8)

x = -8

y = 8

Step-by-step explanation:

-6x + 3y = 72 then 3y = 72 + 6x, y = 24 + 2x

5x + 8y = 24

substitute for y:

5x + 8(24 + 2x) = 24

5x + 192 + 16x = 24

21x = -168

x = -8

y = 24 + 2(-8) = 8

Multiply. 42.9 × 3.45

Answers

Answer:

42.9 x 3.45 = 148.005 exactly or 148 rounded

Answer:

Hi! The answer to your question is 148.005

Step-by-step explanation:

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An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily average revenue of $625. If you were to test the null hypothesis that the daily average revenue was $675, which test would you use?

a. Z-test of a population mean

b. Z-test of a population proportion

c. t-test of population mean

d. t-test of a population proportion

Answers

The Z-test of a population mean is used here because it is given that the population standard deviation is $75. The correct option is a).

Given :

The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.
A sample of 30 days reveals a daily average revenue of $625.

Let $\mu$ is the daily average revenue. So:

Null Hypothesis is, $\rm H_0:\mu=$675$

The Alternate Hypothesis is, $\rm H_a : \mu\neq $675$

Here, the Z-test of a population mean is used because it is given that the population standard deviation is $75.

$\rm Test \;Statistics = \frac{\bar{X}-\mu}{(\sigma)/(√(n) )}$

where $\rm \bar {X}$ is the sampleaverage revenue, $\sigma$ is the standard deviation and n is the sample size.

Therefore, the correct option is a).

For more information, refer to the link given below:

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Answer:

We would use Z-test of a population mean.

Step-by-step explanation:

We are given that an entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily average revenue of $625.

And we have to test the hypothesis that the daily average revenue was $675.

Firstly, as we know that testing is always done on the population parameter.

So, let $\mu$ = daily average revenue over the pat 5 years

So, Null Hypothesis, $H_0$ : $\mu$ = $675

Alternate Hypothesis, $H_a$ : $\mu \neq$ $675

Here, null hypothesis states that the owner's claim of average daily revenue was $675 over the past 5 years is correct.

And alternate hypothesis states that the owner's claim of average daily revenue was $675 over the past 5 years is not correct.

The test statistics that will be used here is Z-test of a population mean because here we have knowledge of population standard deviation of $75.

Test statistics = $(\bar X-\mu)/((\sigma)/(√(n) ) )$ ~ N(0,1)

where, $\bar X$ = sample average revenue = $625

$\sigma$ = population standard deviation = $75

n = sample of days = 30

Therefore, to test the null hypothesis that the daily average revenue was $675, we should use Z-test of a population mean.

The Punic Wars had the GREATEST impact on the expansion ofes )
A)
the Roman Empire.
B)
the Roman Republic.
Egypt's "New Kingdom."
D)
Alexander the Great's Empire.
Submit

Answers

Answer:

it b 100%

Step-by-step explanation:

Answer:

Step-by-step explanation:

The dew point in degrees Fahrenheit can be calculated with the formula DP - T-(100 - RH), where DP is the dew point, T is the dry-bulb temperature, and RH is the relative humidity. Which of these is the equation solved forRH?

Answers

The equation for Relative Humidity RH is Option 3.

RH = 100 - 25/9 ( T - DP )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The dew point in degrees Fahrenheit is calculated by the equation ,

DP = T - 9/25 ( 100 - RH )

where ,

DP = Dew Point

T = Temperature of dry-bulb

RH = Relative Humidity

Now , to solve for Relative Humidity , the equation can be simplified as

DP = T - 9/25 ( 100 - RH )

So ,

Adding 9/25 ( 100 - RH ) on both sides , we get

DP + 9/25 ( 100 - RH ) = T

Subtracting DP on both sides , we get

9/25 ( 100 - RH ) = T - DP

Multiply by 25/9 on both sides , we get

( 100 - RH ) = 25/9 ( T - DP )

Adding RH on both sides , we get

100 = RH + 25/9 ( T - DP )

Now , subtracting 25/9 ( T - DP ) on both sides , we get

100 - 25/9 ( T - DP ) = RH

Therefore , RH = 100 - 25/9 ( T - DP )

Hence , the equation for Relative Humidity RH is given by

RH = 100 - 25/9 ( T - DP )

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Answer:D

Step-by-step explanation:

The average speed of a golden eagle is 30 mph and the average speed of a peregrine falcon is 48 mph. How far will the peregrine falcon fly in the time it takes the eagle to fly 40 miles?

Answers

The peregrine falcon flies in the time it takes the eagle to fly 40 miles is 64 miles away.

What is the average speed?

The average speed is the total distance traveled by the object in a particular time interval.

The average speed is a scalar quantity.

The average speed of a golden eagle is 30 mph and the average speed of a peregrine falcon is 48 mph.

The time to fly 40 miles (that time is x):

miles hours

30 ⇒ 1

40 ⇒ x

We use the ruleof three which is to multiply the cross quantities on the table and divide by the remaining quantity:

x = 40(1)/30

x = 4/3 hour

it takes the eagle 4/3 flies to fly 40 miles.

Now we use the velocity of the falcon: 48mph, which can also be represented as:

miles hours

48 ⇒ 1

and we need the distance in miles that the falcon flies in 4/3 hours :

miles hours

48 ⇒ 1

x ⇒ 4/3

Again we use the rule of three (multiply cross quantities and divide by the remainingquantity)

x = (48)× (4/3)

x = 64 miles

Hence, the peregrine falcon flies in the time it takes the eagle to fly 40 miles is 64 miles away.

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Answer:

Step-by-step explanation:

64 miles

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