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Y_Kistochka [10]
3 years ago
11

Testing: H 0 : μ ≥ 15.6 H 1 : μ < 15.6 Your sample consists of 46 values, with a sample mean of 13.4. Suppose the population

standard deviation is known to be 4.47. a) Calculate the value of the test statistic, rounded to 2 decimal places. z =
Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

Answer:

The value of the test statistic is <em>z</em> = 3.34.

Step-by-step explanation:

The information provided is:

\bar x=13.4\\\sigma = 4.47\\n=46

The test statistic is:

Z=\frac{\mu-\bar x}{\sigma/\sqrt{n}}

  =\frac{15.6-13.4}{4.47/\sqrt{46}}\\\\=3.33806\\\\\approx 3.34

Thus, the value of the test statistic is <em>z</em> = 3.34.

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Please give the actual answer if you choose to anwser
zlopas [31]

9514 1404 393

Answer:

  C. 78°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  (7x-6)° +(4x+11)° +43° = 180°

  11x +48 = 180 . . . . . divide by °, simplify

  11x = 132 . . . . . . . subtract 48

  x = 12 . . . . . . . divide by 11

Then the measure of angle T is ...

  ∠T = (7x -6)° = (7(12) -6)°

  ∠T = 78°

6 0
3 years ago
Please help!!! Verify which of the following are identities.
Ierofanga [76]

Answer:

First one

Step-by-step explanation:

None of the equations are identities

4 0
3 years ago
Will mark brainliest IF you explain and solve
TEA [102]

Answer:

A) y = (x + 3)² + 4

B) y = (x - 3)² + 2

C) y = (x - 1)² - 5

Step-by-step explanation:

2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)

As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to

"+ 4" to shift the curve upward by 2

y = (x + 3)² + 4

When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)

This means that the term in parenthesis must be zero with our desired x value

(3 + C)² = 0

3 + C = 0

C = -3

y = (x - 3)² + 2

4 units right and 7 units down mean that the vertex is desired at (1, -5)

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C = -1

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4 0
3 years ago
The speed of a stream is 2 mph. A boat travels 20 miles upstream in the same time it takes to travel 40 miles downstream. What i
nataly862011 [7]

Answer:

<em>The speed of a boat in still water is 6 miles per hour. </em>

Step-by-step explanation:

t = \frac{20}{s-2}  (upstream)

t = \frac{40}{s+2}  (downstream)

\frac{20}{s-2} = \frac{40}{s+2}

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40s - 80 = 20s + 40

20s = 120

s = 6 mi / h

<em>The speed of a boat in still water is 6 miles per hour.</em>

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3 years ago
Kim rolls a six-sided number cube labeled from 1 to 6.
makvit [3.9K]
The answer is A) 2/3
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