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Sonbull [250]
3 years ago
7

Suppose that your test statistic is t(99 ) = -2.8888. Round the test statistic to two places after the decimal point.

Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer:

t(99)= -2.89

Step-by-step explanation:

-To places after the decimal point is equivalent to rounding off to the nearest hundredth.

-To round off to the nearest hundredth, we check the thousandths digit:

  • If the thousandths digit is less than5, we round down to the previous hundredth.
  • If the thousandths digit is greater than 4, we round up to the next hundredth:

Hence,-2.8888\approx-2.89

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m_a_m_a [10]

Answer:

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

Step-by-step explanation:

A. The formula for the volume of a hemisphere is ...

  V = (2/3)πr³

For a radius of 5 m, the volume is ...

  V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³

__

B. The formula for the volume of a cylinder is ...

  V = πr²h

For a radius of 5 m and a height of 12 m, the volume is ...

  V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³

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C. Then the total volume is ...

  V = hemisphere volume + cylinder volume

  V = 261.799 m³ +942.478 m³ = 1204.277 m³

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Rounded to the nearest integer, the volumes are ...

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

_____

As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.

6 0
3 years ago
What divides a line segment into two congruent segments?
Nutka1998 [239]

Answer:

segment bisector

Step-by-step explanation:

Too cut in half, think bisect.

So we are talking about a segment, so segment bisector

3 0
3 years ago
Which equation is equivalent to x^2 + 36x = 88?
just olya [345]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the domain and range of <br> f(x)=2x^2+6x+2
lbvjy [14]

As is the case for any polynomial, the domain of this one is (-infinity,  +infinity).

To find the range, we need to determine the minimum value that f(x) can have.  The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is  x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on.  That happens to be y = -5/2, so the range is [-5/2, infinity).

3 0
3 years ago
To avoid modeling the physical characteristics of wheel encoders such the square wave outputs, it is desirable to generate encod
grandymaker [24]

Answer:

The probability distribution is  Normal continuous

Step-by-step explanation:

The basic idea is that velocity values have different noise level and an important thing regarding continuous probability distributions is that the probability of the random variable is equal to a specific outcome is 0

In other words, is practically impossible that one value of velocity could be the same as others.

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3 years ago
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