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olga nikolaevna [1]
3 years ago
13

the position of a deep sea probe is -2 3/4 fathoms relative to the sea level. after finishing taking data, it moves to -2 5/8 fa

thoms relative to sea level. which was deeper, the first mission, or the second. (i’m in modern high school which means i get collage questions, i only have 1 hour left to get this done, someone help!)
Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0

Answer:

  • The first mission

Step-by-step explanation:

<u>The depth readings are</u>

  • The first mission:  - 2 3/4 fathoms
  • The second mission: - 2 5/8 fathoms

<u>Comparing the readings</u>

  • - 2 3/4 = - 2 6/8  and  - 2 5/8

<u>Absolute values compared</u>

  • 2 6/8 > 2 5/8

Indicating the greater value on the first mission

As per above, the first mission was deeper

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Problem 3
Murljashka [212]

Answer:

-\frac{2}{5}

Step-by-step explanation:

Given expression:

           2x + 5y = -10

The equation of a straight line is;

            y = mx + c

y and x are the coordinates

m is the slope

c is the intercept

 Now;

          let us write the given expression in slope intercept format;

            2x + 5y  = -10

                    5y = -2x - 10

                     y = -\frac{2x}{5}  - 2

So, the slope of the line is -\frac{2}{5}

8 0
3 years ago
What is 51.4 plus 2.86
Hitman42 [59]

Answer:

54.26

Step-by-step explanation:

0.4+0.86= 1.26

51+2= 53

53+1.26= 54.26

6 0
3 years ago
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A genetic experiment involving peas yielded one sample of offspring consisting of 409 green peas and 171 yellow peas. Use a 0.05
grigory [225]
The usual expectation for this kind of experiment is that the peas would yield green and yellow peas in a 3:1 ratio, or 75% green to 25% yellow. So your null hypothesis is that the proportion of yellow peas is p=0.25.

You're testing the claim that 26% of the offspring will be yellow, which means the alternative hypothesis is that the proportion of yellow peas is actually 0.26, or more generally that the expected proportion is greater than 0.25, or p>0.25.

The test statistic in this case will be

Z=\dfrac{\hat p-p_0}{\sqrt{\dfrac{p_0(1-p_0)}n}}

where p_0 is the proportion assumed under the null hypothesis, \hat p is the measured proportion, and n is the sample size. You have p_0=0.25, \hat p=\dfrac{171}{171+409}\approx0.29, and n=409+171=580, so the test statistic is

Z=\dfrac{0.29-0.25}{\sqrt{\dfrac{0.25\times0.75}{580}}}\approx2.2247

Because you're testing p>p_0, this is a right-tailed test, so the P-value is

\mathbb P(Z>2.2247)\approx0.0131

The critical value for a right-tail test at a 0.05 significance level is Z_\alpha\approx1.6449, which means the rejection region is any test statistic that is larger than this critical value. Since Z>Z_\alpha in this case, we reject the null hypothesis.

So the conclusion for this test is that the sample proportion is indeed statistically significantly different from the proportion suggested by the null hypothesis.
8 0
3 years ago
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A town has a population of 32,000 in the year 2002; 38,400 in the year 2003; 46,080 in the year 2004; and 55,296 in the year 200
NeTakaya
The point is to find the growth rate. The compound formula is:

P=A(1+ growth rate)ⁿ, where A is the initial Value & P the new value after n years:
P₂₀₀₃ =P₂₀₀₂ (1+ growth rate)¹ (the period "n" from 2002 to 2003 being 1 year)

38400 = 32000(1+growth rate)¹
38400 / 32000 - 1= growth rate & growth rate = 1/5 = 0.2
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P₂₀₀₄ = P₂₀₀₃(1+ growth rate)¹
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between 2015 & 2002 THERE ARE 14 YEARS:

P₂₀₁₅ = P₂₀₀₂(1+0.2)¹⁴ & P₂₀₁₅ = 32000(1+02)¹⁴ = 410,854
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Annette [7]

Answer:

y = -2x - 8

Step-by-step explanation:

The formula for a slope line is

y = mx + b

"m" is the slope that's given in the problem, and b is simply the y value of the y-intercept, which is also given.

I hope this helps!

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