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Aleks [24]
3 years ago
12

Write the number 9.9 x 105 in standard form.

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

<em>1039.5</em>

Step-by-step explanation:

9.9 times 105=<em>1039.5 </em>

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8 0
3 years ago
The area of a rectangular pool is 6992 m².
Nina [5.8K]

Step-by-step explanation:

area=6992m2

length=92m

Now,

area of rectangle=6992

3 0
3 years ago
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ &lt; 55 A sample of 36 is used. Identify the p-value and state your con
Ket [755]

Answer:

Step-by-step explanation:

Given that:

H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }

Z = \dfrac{-1}{\dfrac{5.3}{6} }

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

b

For x = 53 and s = 4.6

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }

Z = \dfrac{-2}{\dfrac{4.6}{6} }

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

Conclusion: \  There  \ is \  sufficient \  evidence  \  to \  conclude \  that \mu < 55

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

6 0
3 years ago
Find the equation of the line containing (3,-2) and (5,5).
Mars2501 [29]

Answer:

y = 3.5x - 12.5

Step-by-step explanation:

First, find the slope using rise over run (y2 - y1 / x2 - x1) with the 2 points:

(-2 - 5) / (3 - 5)

-7/-2

= 3.5

Then, plug the slope and a point into y = mx + b to solve for b:

y = mx + b

5 = 3.5(5) + b

5 = 17.5 + b

-12.5 = b

Plug the slope and the y intercept into the equation y = mx + b

y = 3.5x - 12.5 will be the equation

7 0
3 years ago
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0.03*0.05 is equal to 0.15 but less than 0.2 and greater than 0.1
6 0
3 years ago
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