All categories

3 years ago

Can I have help on this please

Mathematics

1 answer:

irinina [24]3 years ago

8 0

Angles C and D are supplementary, meaning they add up to 180 degrees. So, if we add 8u-48 to 5u+46, we get 13u-2. We set that equal to 180, so 13u-2=180. Add the two, so 13u=182. Divide the 13, so u=14. To double check, plug in 14 to both expressions. 8(14)-48 and 5(14)+46. 8(14)-48 is 64. 5(14)+46 is 116. If you add 64+116, you get 180, which proves your answer right! So u= 14

You might be interested in

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

A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to t

velikii [3]

Answer:

Step-by-step explanation:

To answer this, we need to see the to see to the fact that they are both in the same unit before we can take the ratio.

Firstly, we know that 1 foot = 12 inches. 9 feet would this be 9 * 12 = 108 inches.

Now we are told to get the ratio of length of car to length of model.

This means 108:6 = 18:1

5 0

3 years ago

Read 2 more answers

What is the sum of the polynomials?<br>11x2-5<br>+ x+4

Paul [167]

Answer:

23x-1

Step-by-step explanation:

6 0

2 years ago

Mario invests £2000 for 3 years at 5% per annum compound interest. Calculate the value of the investment at the end of 3 years.

Delicious77 [7]

Answer:

$2315.25

Step-by-step explanation:

Given data

Principal= £2000

Time= 3 years

Rate= 5%

The compound interest expression is

A= P(1+r)^t

substitute

A= 2000(1+0.05)^3

A= 2000(1.05)^3

A= 2000*1.157625

A= 2315.25

Hence the Amount is $2315.25

7 0

2 years ago

Can someone help me please,I would appreciate it

liubo4ka [24]

The answer is simply 0.

4 0

3 years ago