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Triss [41]
4 years ago
7

Suppose that, based on a sample, the 99.7% confidence interval for the mean of a population is (59,95). What is the mean of the

sample?
Mathematics
1 answer:
Georgia [21]4 years ago
4 0

Answer:

mean = 77

Step-by-step explanation:

We have a confidence interval of (59, 95) with a confidence of  99.7 percent


99.7 is 6 standard deviations from the mean, 3 on each side of the mean

mean - 3 sigma = 59

mean + 3 sigma = 95

We can use elimination to eliminate sigma.  Add these equations together

mean - 3 sigma = 59

mean + 3 sigma = 95

---------------------------------

2 * mean = 154

Divide each side by 2

2 * mean/2 = 154/2

mean = 77

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Is 100 in greater,less, or equal to 3 yd 1 ft
jeka57 [31]
3 ft are in 1 yd
36 in are in 1 yd
36x3=108
108+12=120
So 100 is less than 3 yds 1 ft

Hope this helped!
7 0
3 years ago
Factor the equation <br> please help
LiRa [457]

Answer:

<u>For</u><u> </u><u>A</u>

{ \rm{6 {x}^{2}(x + 1) - 2x(x + 1) }}

• The equation above has a common bracket "(x + 1)". So, let's first factorise out that bracket:

\dashrightarrow \: { \rm{(x + 1) \{6 {x}^{2} - 2x \} }}

• now in the second bracket, the common factor is x and 2.

\dashrightarrow \: { \rm{(x + 1) \{2x(3x - 1) \}}}

• Final answer;

{ \boxed{ \boxed{ \rm{ \dashrightarrow \: 2x(x + 1)(3x - 1) \:  \: }}}}

<u>For</u><u> </u><u>B</u>

{  \rm{3(x - 1)(x + 2) + ( {x}^{2} - x)(x + 2) }}

• In the equation, the common bracket is (x + 2).

So let's first factorise it out:

\dashrightarrow \: { \rm{(x + 2) \{3(x - 1) + ( {x}^{2}  - x) \}}} \\  \\ { \rm{(x + 2) \{3(x - 1) + x(x - 1) \}}}

• In the second major bracket, the common bracket is (x - 1). so factorise it out:

{  \rm{(x + 2) (x - 1) \{3 + x \}}}

• Final answer:

{ \boxed{ \boxed{ \rm{ \dashrightarrow \: (x + 2)(x  + 3)(x - 1) \:  \: }}}}

8 0
3 years ago
Jerry runs up to a tank that holds up to 15 gallons of melted cheese When it is active it drains cheese onto crackers at a const
frosja888 [35]

Answer:

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Step-by-step explanation:

3/5=.6

8 0
3 years ago
Complete the slope-intercept form of the linear equation that represents the relationship in the table.
nevsk [136]

According to the given table, the slope-intercept equation of the line is given by:

y = -2x + 1

The equation of a line, in <em>slope-intercept</em> form, is given by:

y = mx + b

In which:

  • The slope is m.
  • The intercept is b.

In this problem, we are given two points, (3,-5) and (-2,5).

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m = \frac{5 - (-5)}{-2 - 3} = -2

Hence:

y = -2x + b

Point (3,-5) means that when x = 3, y = -5, which is used to find b.

y = -2x + b

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b = 1

Hence, the equation of the line is:

y = -2x + 1

A similar problem is given at brainly.com/question/24685547

6 0
2 years ago
If two lines are perpendicular to each other, do they lie in the same plane?
Arada [10]
Yes they do, Hope this helps :p
8 0
3 years ago
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