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2 years ago

Can X = 2 be linear function

Mathematics

2 answers:

Makovka662 [10]2 years ago

8 0

Answer:

Yes

Step-by-step explanation:

A linear function is a straight line and when we graph x=2 the line goes straight through x=2

tatuchka [14]2 years ago

3 0

Answer:

yes it can

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An engineer wants to know if the average amount of energy used in his factory per day has changed since last year. The factory u

m_a_m_a [10]

Answer:

The calculated value Z = 1.8823 <1.96 at 0.05 level of significance

The average amount of energy used in his factory per day has changed since last year.

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 2000 (MWH)

Given that size of the sample 'n' = 400

Given that mean of sample x⁻ = 2040 MWH

Given that the standard deviation = 425 MWH per day

Step(ii):-

Null hypothesis:H₀: μ = 2000 (MWH)

Alternative Hypothesis:H₁: μ≠ 2000( MWH)

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{2040-2000}{\frac{425}{\sqrt{400} } }$

Z = 1.8823

The calculated value Z = 1.8823 <1.96 at 0.05 level of significance

Final answer:-

The calculated value Z = 1.8823 <1.96 at 0.05 level of significance

The average amount of energy used in his factory per day has changed since last year.

3 0

3 years ago

Need help filling in the blanks

Xelga [282]

Answer:

1. $2,520.00

2. 0.0%

3. 3%

4. $661.5

5. $727.00

6. $1,736.96

8. $3,250.00

10. 2%

Step-by-step explanation:

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 2.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 2.0% or 0.02

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.02

r = 0.98

Now that we have r we divide the discounted price by r.

Original price = 2,469.60 / 0.98

Original price = $2,520.00

Pretty straight forward as the Original price and the Discounted are the same. So there is no discount.

r = 0.0%

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$850 - $824.50 = $25.50

Now that we have the decrease we can find the rate by using this formula:

$r = \dfrac{Decrease}{Original Price}*100$

$r = \dfrac{25.50}{850}*100$

$r = 0.03*100$

$r = 3%$

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

$Discounted Price=OriginalPrice-(OriginalPrice*Rate)$

$Discounted Price=675-(675*0.02)$

$Discounted Price=675-13.5$

$Discounted Price=$661.5$

Since the %off is 0.0% then the discounted price is equal to the original price.

$727.00

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

$Discounted Price=OriginalPrice-(OriginalPrice*Rate)$

$Discounted Price=1,888-(1,888*0.08)$

$Discounted Price=1,888-151.04$

$Discounted Price=$1736.96$

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 3.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 3.0% or 0.03

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.03

r = 0.97

Now that we have r we divide the discounted price by r.

Original price = 3,152.50 / 0.97

Original price = $3,250.00

10.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$4,567.00 - $4,475.66 = $91.34

Now that we have the decrease we can find the rate by using this formula:

$r = \dfrac{Decrease}{Original Price}*100$

$r = \dfrac{91.34}{4567}*100$

$r = 0.02*100$

$r = 2%$

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3 years ago

A kitchen sink faucet streams 0.5 gallon of water in 10 seconds. Which faucet will fill a 3 gallon container faster?

SOVA2 [1]

60 secounds, or 1 minute

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Jack’s bank statement shows an account balance of –$25.50. Which describes the magnitude, or size, of the debt in dollars? $50.5

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Answer:

$25.50

Step-by-step explanation:

because the magnitude of the debt is the distance from zero.

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Step-by-step explanation:

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Can X = 2 be linear function​

Can X = 2 be linear function