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malfutka [58]
3 years ago
7

Helen's house is located on a rectangular lot that is 1 1/8 miles by 9/10. Estimate the distance around the lot.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
7 0
You round 1 1/8 to 1 and 9/10 to 1 (since you are estimating) and then you add 1+1+1+1, which is 4 because to find perimeter you add the lengths and the widths together.
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A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began.
jenyasd209 [6]

The equation that models this situation is z = 7.9y + 12.

A linear equation is a function that has a single variable raised to the power of 1.  An example is x = 4y + 2.

Where:

  • 2 is the constant
  • x = dependent variable
  • y = independent variable  

From the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.

z = 7.9y + 12

Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.

A similar question was answered here: brainly.com/question/2238405

4 0
2 years ago
Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two pop
nlexa [21]

Answer:

The value of the test statistic is z = 1.78

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8

Sample 2:

\mu_2 = 108, s_2 = \frac{6.3}{\sqrt{64}} = 0.7875

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

Distribution of the difference:

X = \mu_1 - \mu_2 = 110 - 108 = 2

s = \sqrt{s_1^2+s_2^2} = \sqrt{0.8^2+0.7875^2} = 1.1226

What is the value of the test statistic?

z = \frac{X - \mu}{s}

z = \frac{2 - 0}{1.1226}

z = 1.78

The value of the test statistic is z = 1.78

5 0
3 years ago
All of the following expressions are equivalent to 12w + 6, except:
Dafna1 [17]

Answer:

-1(-12w - 6)

Step-by-step explanation:

trust me ;)

6 0
2 years ago
Read 2 more answers
Which of the following are factors of 12?<br><br> 1 And 12<br><br> 2 And 6<br><br> 3 And 4
Phoenix [80]

Answer:

id just learned this a month ago so i think its 2 and 6 i hope u get 100!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A sequence is considered arithmetic if there is a
Shalnov [3]
Answer: Common difference
6 0
3 years ago
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