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4 years ago

A steel rod cost $1.25 per inch. How much will 2 feet of the steel rod cost

1 answer:

3 0

1 feet = 12 inches
1 x 2 feet = 12 x 2 inches
2 feet = 24 inches

1 inch = 1.25 dollars
1 x 24 inches = 1.25 x 24 dollars
24 inches = 30 dollars

2 feet = $30

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What are the prime factors of 24 and 32?

iVinArrow [24]

Step-by-step explanation:

Prime Factors for 24: 2, 2, 2, and 3.

Prime Factors for 32: 2, 2, 2, 2, and 2.

8 0

3 years ago

Read 2 more answers

Andrea multiplied 6.75 x 10^6 and 0.2 x 10^6 and got 6.95 x 10^6. explain Andrea’s mistake and give the correct answer

Dvinal [7]

Answer:

Correct answer = $1.35\times10^{12}$

Step-by-step explanation:

Given:

Andrea multiplied 6.75 x 10^6 and 0.2 x 10^6 and got 6.95 x 10^6.

Question asked:

Explain Andrea’s mistake and give the correct answer.

Solution:

The above question is of exponential question:

Here Andrea simply added 6.75 to 0.2 and got 6.95 and took 10^6 as common and written down wholly 6.95 x 10^6 which is incorrect.

Here we multiply 6.75 to 0.2 and get 1.35 and secondly to multiply 10^6 with 10^6 we have to understand the rule of exponents:-

As we know:

$a^{m} \times a^{n} =a^{m+n}$

$Similarly,\ 10^{6} \times 10^{6}=10^{6+6}=10^{12}$

Hence when we multiplied 6.75 x 10^6 and 0.2 x 10^6 originally we got $1.35\times10^{12}$

4 0

3 years ago

a bag of grass with soil sells for $12.50 and it can cover (10)^6 square inches of ground. what is the price of covering 2 acres

musickatia [10]

6,272,640 square inches = 1 acre
10^6 square inches = 10^6/6,272,640 = 0.16 acre

0.16 acre = $12.50
2 acre = (2 x 12.50)/0.16 = $156.25

The cost coverifng 2 acres of land is $156.75

5 0

4 years ago

Chloe answered 42 of the 50 questions correctly. Express this amount as a percent and a decimal

Oxana [17]

It would be 21 as a percent and 0.21 as a decimal

4 0

3 years ago

Read 2 more answers

Test the claim that the mean GPA of night students is larger than 2.2 at the .10 significance level.

stealth61 [152]

This question is incomplete, the complete question is;

Test the claim that the mean GPA of night students is larger than 2.2 at the .10 significance level.

The test is based on a sample of 55 people, the sample mean GPA was 2.23 with a standard deviation of 0.06

Answer:

P-value is less than the significance level.

We reject null hypothesis.

Therefore, there is enough evidence to conclude that the mean GPA of night students is larger than 2.2

Step-by-step explanation:

Given the data in the question;

Claim : The mean GPA of night student is larger than 2.2

μ = 2.2

sample size n = 55

sample mean x' = 2.23

standard deviation s = 0.06

Hypothesis

Null hypothesis H₀ : μ ≤ 2.2

Alternative hypothesis H₁ : μ > 2.2

Right-tailed Test.

Significance Level ∝ = 0.10

so critical value $t_{(0.10, df=54)$ = 1.297

Test Statistic

T $_{cal$ = (x'-μ) / (s/√n)

we substitute

T $_{cal$ = (2.23 - 2.2 ) / (0.06 / √55)

= 0.03 / 0.00809

T $_{cal$ = 3.71

T $_{cal$ is greater than critical value, so it falls in the rejection region;

p-value = P( t > 3.71 ) = 0.000245

P-value is less than the significance level.

We reject null hypothesis.

Therefore, there is enough evidence to conclude that the mean GPA of night students is larger than 2.2

7 0

3 years ago