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3 years ago

Determine whether each equation is true or false.

Mathematics

1 answer:

vredina [299]3 years ago

5 0

Step-by-step explanation:

1.False

2.True

3.True 

4.False

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PLS HELP ME ASAP FOR THIS!! (MUST SHOW WORK!!) + LOTS OF POINTS!!

OlgaM077 [116]

You can see that angle TQV = 90 degrees
Angle RQV = 136 degrees

Angles RQV and UQV are supplementary and equal 180 degrees since they form a straight line. Therefore angle UQV = 180 - 136 = 44 degrees.

TQU + UQV = 90 degrees. Therefore, TQU = 90 - UQV.

90 - 44 = 46 degrees for angle TQU.

8 0

3 years ago

Read 2 more answers

The mean weight of 10 randomly selected newborn babies at a local hospital is 7.14 lbs and the standard deviation is 0.87 lbs. A

sergejj [24]

Answer:

a) $ME= 1.83 \frac{0.87}{\sqrt{10}}=0.5035$

b) 90% of all samples of size 10 have sample means within 0.5035 of the population mean.

c) The 90% confidence interval would be given by (6.636;7.643)

d) Yes, since the lower limit for the 90% confidence interval is higher than the value of 6.5 we can conclude that the true mean is significantly higher than 6.5 at 10% of significance. (6.636>6.5)

e) If we increase the confidence level that implies increase the margin of error. Since with more confidence level the value for the critical value $t_{\alpha/2}$ increase. So then the new interval would be wider than the original.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=7.14$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=0.87 represent the sample standard deviation

n=10 represent the sample size

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And the margin of error is given by:

$ME= t_{\alpha/2}\frac{s}{\sqrt{n}}$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,9)".And we see that $t_{\alpha/2}=1.83$

$ME= 1.83 \frac{0.87}{\sqrt{10}}=0.5035$

Part b

90% of all samples of size 10 have sample means within 0.5035 of the population mean.

Part c

Now we have everything in order to replace into formula (1):

$7.14-1.83\frac{0.87}{\sqrt{10}}=6.637$

$7.14+1.83\frac{0.87}{\sqrt{10}}=7.643$

So on this case the 90% confidence interval would be given by (6.636;7.643)

Part d

Yes, since the lower limit for the 90% confidence interval is higher than the value of 6.5 we can conclude that the true mean is significantly higher than 6.5 at 10% of significance. (6.636>6.5)

Part e

If we increase the confidence level that implies increase the margin of error. Since with more confidence level the value for the critical value $t_{\alpha/2}$ increase. So then the new interval would be wider than the original.

7 0

4 years ago

The second floor of a tiny house has a living room in a bedroom. The floor plan shows a width of 8 ft in a total length of 24 ft

Keith_Richards [23]

Answer:

Expression 8 • 24 represents the total area.

Option A is correct.

Step-by-step explanation:

Width of living room = 8 ft

Length of living room = 24 ft

We need to calculate area:

The formula used is: $Area=Length \times Width$

Putting values to get the expression

$Area = 8\times24$

So, Expression 8 • 24 represents the total area.

Option A is correct.

6 0

3 years ago

Help if you know pls

snow_lady [41]

Answer:

c. 16/35

Step-by-step explanation:

2/5 divided by 7/8

2/5 x 8/7

stay change flip

5 0

3 years ago

Read 2 more answers

!!!What is the range of the data shown below!!!

kaheart [24]

The range of the data shown is 0-9 !!
hope this helps and good luck in life ;)

3 0

3 years ago