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timurjin [86]
3 years ago
7

Which one is x1, y1 and which is x2, y2? (7, 2) and (15,8)

Mathematics
2 answers:
Nataly [62]3 years ago
7 0

X1 = 7

Y1 = 2

X2 = 15

Y2 = 8

WINSTONCH [101]3 years ago
6 0

The values are always interpreted as (x1, y1) and (x2, y2) in order from left to right, so in this case, (7,2) are (x1, y1) and (15, 8) are (x2, y2)

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Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a
tigry1 [53]

Answer:

SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58

ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073

\bar X - ME = 237- 14.073 = 222.927

\bar X + ME = 237+ 14.073 = 251.073

n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238

So the answer for this case would be n=238 rounded up to the nearest integer

Null hypothesis:\mu \geq 247  

Alternative hypothesis:\mu  

z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165  

p_v =P(z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't conclude that the true mean is lower than 247 at 10% of significance.

Step-by-step explanation:

For this case we have the following data given:

\bar X =237 represent the sample mean

\sigma = 47 represent the population deviation

n =30 represent the sample size selected

\mu_0 = 247 represent the value that we want to test.

The standard error for this case is given by:

SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58

For the 90% confidence the value of the significance is given by \alpha=1-0.9 = 0.1 and \alpha/2 = 0.05 so we can find in the normal standard distribution a quantile that accumulates 0.05 of the area on each tail and we got:

z_{\alpha/2}= 1.64

And the margin of error would be:

ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073

The confidence interval for this case would be given by:

\bar X - ME = 237- 14.073 = 222.927

\bar X + ME = 237+ 14.073 = 251.073

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238

So the answer for this case would be n=238 rounded up to the nearest integer

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is lower than 247 pounds, the system of hypothesis would be:  

Null hypothesis:\mu \geq 247  

Alternative hypothesis:\mu  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165  

P-value  

Since is a left tailed test the p value would be:  

p_v =P(z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't conclude that the true mean is lower than 247 at 10% of significance.

5 0
3 years ago
Is 5:20 and 15:60 equivalent
kati45 [8]

Answer:

Yes! When simplifying 15:60 by dividing each side by 3, you get 5:20, which is the same as 5:20.

Step-by-step explanation:

Hope this helps <3

5 0
3 years ago
I need help and steps please
kkurt [141]

-2/3 <em>b</em> + 4 = 0

Add -4 to both sides to eliminate the 4 on the left:

-2/3 <em>b</em> + 4 - 4 = - 4

-2/3 <em>b</em> = -4

Multiply both sides by -3/2 to eliminate the -2/3 on the left:

-3/2 • (-2/3 <em>b</em>) = -3/2 • 4

<em>b</em> = -12/2

Simplify the solution:

<em>b</em> = -6

3 0
3 years ago
In a factory, an assembly line can manufacture 39 widgets per second. In another factory, 6 widgets are combined to make 1 whooz
Rudik [331]
Given:
39 widgets per seconds
6 widgets to make 1 whoozit

3,500,000 whoozits * 6 widgets/whoozits = 21,000,000 widgets
21,000,000 widgets / 39 widgets/sec = 538,461.54 seconds

1 day = 24 hours
1 hour = 60 minutes
1 minutes = 60 seconds
1 hour = 3600 seconds

3,600 seconds * 24 hrs = 86,400 seconds 
538,461.54 seconds / 86,400 seconds per day = 6.23 days.

B. 6 days.
4 0
3 years ago
Hey I need help on this question so today I want you help me solve it please
maxonik [38]

Definitions in Algebra

A variable is a letter or symbol that represent numbers in a general way.

A coefficient is a number that multiplies a variable

A term is a combination of numbers and variables, all of them multiplied.

An exponent represents multiple products, like 2*2*2= 2^3

The answer is shown in the image below:

8 0
1 year ago
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