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3 years ago

7

If g || h and m<2 = 110°, what is m<6? 70 110 6 180

1 answer:

gayaneshka [121]3 years ago

3 0

180 is the totally amount it can be

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Refer to the accompanying data set and construct a % confidence interval estimate of the mean pulse rate of adult females; the

ivolga24 [154]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval of mean pulse rate for adult female is $71.98 < \mu < 79.88$

The 95% confidence interval of mean pulse rate for adult male is $62.89 < \mu < 70.57$

The correct option is C

Step-by-step explanation:

Generally the sample mean for Male pulse rate is mathematically represented as

$\= x_1 = \frac{\sum x_i }{n}$

= > $\= x_1 = \frac{81 + 74 + \cdots + 59 }{40 }$

= > $\= x_1 = 66.73$

Generally the standard deviation for male pulse rate is mathematically represented as

$\sigma_1 = \sqrt{\frac{\sum (x - \= x)^2 }{n-1 } }$

=> $\sigma_1 = \sqrt{\frac{\sum (81 - 66.73 )^2 + (74 - 66.73 )^2+ \cdot + (59 - 66.73 )^2 }{40-1 } }$

=> $\sigma_1 = 12.24$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma_1 }{\sqrt{n} }$

=> $E = 1.96 * \frac{12.4 }{\sqrt{40} }$

=> $E =3.84$

Generally 95% confidence interval is mathematically represented as

$\= x_1 -E < \mu < \=x_1 +E$

=> $66.73 -3.84 < \mu < 66.73 +3.84$

=> $62.89 < \mu < 70.57$

Generally the sample mean for Female pulse rate is mathematically represented as

$\= x_2 = \frac{\sum x_i }{n}$

= > $\= x_2 = \frac{81 + 94 + \cdots + 73 }{40 }$

= > $\= x_2 = 75.93$

Generally the standard deviation for Female pulse rate is mathematically represented as

$\sigma_2 = \sqrt{\frac{\sum (x - \= x)^2 }{n-1 } }$

=> $\sigma_2 = \sqrt{\frac{\sum (81 - 66.73 )^2 + (94 - 66.73 )^2+ \cdot + (73 - 66.73 )^2 }{40 } }$

=> $\sigma_2 = 12.73$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma_2 }{\sqrt{n} }$

=> $E = 1.96 * \frac{12.73 }{\sqrt{40} }$

=> $E =3.95$

Generally 95% confidence interval is mathematically represented as

$\= x_2 -E < \mu < \=x_2 +E$

=> $75.93 -3.95 < \mu < 75.93 + 3.95$

=> $71.98 < \mu < 79.88$

8 0

2 years ago

Find the equation of a line with a slope of -4 that passes through the point (-3, 8).

Nata [24]

Answer:

The equation of line is y = -4x -4.

Step-by-step explanation:

Given that:

Slope of the line = -4

Line passes through the point ( -3, 8)

The general equation of line is given by;

y - y1 =m(x-x1)

Putting the point and slope in equation

y - 8 = -4(x - (-3))

y - 8 = -4(x+3)

y - 8 = -4x - 12

y = -4x - 12 + 8

y = -4x -4

Hence,

The equation of line is y = -4x -4.

6 0

2 years ago

What are the coordinates of the point on the directed line segment from (-6, -10)

disa [49]

Straight line
Explaintion .

3 0

3 years ago

17) Evaluate D(4)<br> Please help

WINSTONCH [101]

Answer:

D(4) = 6

Step-by-step explanation:

Using the blue graph, find the y value when x =4

the y value is 6 when x=4

D(4) = 6

3 0

3 years ago

To solve n+7=15 you should first

sertanlavr [38]

Answer:

Collect like terms and simplify
Subtract 7 from both sides

Step-by-step explanation:

METHOD 1

$n+7=15\\n =15-7\\n = 8$

METHOD 2

$n+7-7=15-7\\n =8$

7 0

2 years ago

Read 2 more answers