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Norma-Jean [14]
3 years ago
9

Sean got 4 over 5 pound of honey from a hive. He calculated the quotient of 4 over 5 ÷ 3 over 8. Which statement shows the quoti

ent and gives the most likely explanation of what Sean was trying to determine?
He can make 2 and 2 over 15 bottles of honey with 3 over 8 pound of honey in each bottle.
He can make 12 over 40 of a bottle of honey with 3 over 8 pound of honey in each bottle.
He can get 2 and 2 over 15 pounds of honey if he divides the honey into 3 over 8-pound portions.
He can get 12 over 40 pound of honey if he divides the honey into 3 over 8-pound portions.
Mathematics
1 answer:
Alexandra [31]3 years ago
8 0
The answer is He can make 12/40 of a bottle of honey with 3 over 8 pounds of honey.The reason is because it kinda look more sense to compare in the question to the 2nd answer
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Show all work to factor x^4 − 5x^2 + 4 completely.
Mademuasel [1]

Answer:

(x+1) (x-1) (x+2) (x-2)

Step-by-step explanation:

<u>Let u = x^2</u>

= u^2 - 5u + 4

<u>(Factor u^2 - 5u + 4)</u>

= (u-1) (u-4)

<u>Substitute back u = x^2</u>

= (x^2 -1 ) (x^2 - 4)

<u>Factor x^2 - 1 and x^2 -4</u>

= (x+1) (x-1) (x+2) (x-2)

Hope this helped... :)

If you need to see the work for yourself, copy/paste this link

https://www.symbolab.com/solver/factor-calculator/factor%20x%5E%7B4%7D%20%E2%88%92%205x%5E%7B2%7D%20%2B%204%20

3 0
3 years ago
Read 2 more answers
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
Simplify 3(tan^2 theta - sec^2 theta)<br> a. 1<br> b. 0<br> c. -3<br> d. 3<br><br> *ITS NOT D*
nlexa [21]

Answer:

it's option c. - 3

Hope it will help :)❤

4 0
3 years ago
Free points, One last question, 3k+16=8+5k​
Tema [17]

Answer:

k = 4

Step-by-step explanation:

Hello!

3k + 16 = 8 + 5k

Subtract 3k from both sides

16 = 8 + 2k

Subtract 8 from both sides

8 = 2k

Divide both sides by 2

4 = k

The answer is 4

Hope this Helps!

3 0
3 years ago
Read 2 more answers
By visual inspection ,determine the best fitting regression model for the scatter plot
k0ka [10]

Answer:

if the scatter plot has a curve like the one attached does then it is quadratic  regression.

Step-by-step explanation:

Exponential growth is a specific way that a quantity may increase over time. ... Described as a function, a quantity undergoing exponential growth is an exponential function of time, that is, the variable representing time is the exponent (in contrast to other types of growth, such as quadratic growth).

Exponential growth is a specific way that a quantity may increase over time. It occurs when the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself.

This means if it has a curve that doesn't represent same value proportions to another axis. that is different to exponential then we say it is quadratic regression.

The formal term to describe a straight line graph is linear, whether or not it goes through the origin, and the relationship between the two variables is called a linear relationship.

5 0
3 years ago
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