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3 years ago

12

it took milo and myron 315 hours to fly their saucer from mars to earth. milo piloted the saucer 21 times longer than myron did.

how long did myron fly the ship?

1 answer:

PtichkaEL [24]3 years ago

7 0

Mylo+myron =315 hours
Assume myron is (x) hours
Then milo 21+x
X+(21+x) = 315
2x+21=315
2x=294
X=147 hours myron fly the ship

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Solve the equation : 8+10^x=1008

Marizza181 [45]

Hi there.

I'm just going to put the answer for now. I might come back and edit my answer if I figure out how to solve this the long way.

All I did was figure out what exponent you raise 10 to.

10³ = 1000

So, we now have 8 + 10³ = 1008

Edit:

I did it on paper - here it is broken down.

8 + $10^{x}$ = 1008

Subtract 8 from both sides.

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We know that 10³ = 1000

<em>x</em> = 3

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3 years ago

Graph the inequality y> 2x +3

adelina 88 [10]

Graph the inequality y> 2x +3

Solution

<u>Step 1: </u>To graph the inequality, we need to find a few coordinates and form the table.

<u>Step 2:</u> Forming the table.

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Plug in x = -1 and find the value of y.

y = 2(-1) + 3 = -2 + 3 = 1

When x = -1, the value of y is 1.

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3 years ago

The average size of 8 farms in Indiana County, Pennsylvania, is 191 acres with standard deviation of 38 acres. The average size

Grace [21]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let μ1 be average size of farms in Indiana County, Pennsylvania and μ2 be the average size of farms in Greene County, Pennsylvania.

The random variable is μ1 - μ2 = difference in the average size of the farms in Indiana County and the average size of the farms in Greene County.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 191

μ2 = 199

s1 = 38

s2 = 12

n1 = 8

n2 = 10

t = (191 - 199)/√(38²/8 + 12²/10)

t = - 0.57

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [38²/8 + 12²/10]²/[(1/8 - 1)(38²/8)² + (1/10 - 1)(12²/10)²] = 37986.01/4677.36142857143

df = 8

We would determine the probability value from the t test calculator. It becomes

p value = 0.58

Let us assume a significance level of 0.05

Since alpha, 0.05 < than the p value, 0.58, then we would accept the null hypothesis. Therefore, at a significance level of 5%, there is not sufficient evidence to conclude that the average size of the farms in Indiana County and the average size of the farms in Greene County are different.

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Usimov [2.4K]

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3 years ago

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