Height of a parallelogram is half it's base.if it's area is 200 sq cm.find it's height and base.

Following are the number of grams of carbohydrates in a sample of 12-ounce espresso beverages offered at Starbucks. 6 , 9, 10, 2

marusya05 [52]

Answer:

x=6, 9, 10, 20, 22, 25, 27, 40 , 48, 59

i= 1, 2 , 3, 4, 5, 6, 7, 8, 9, 10

And as we can see here the position for x=40 is 8, so then we can calculate the percentile for 40 grams like this:

$p=\frac{8}{10} *100 = 80$

So the the vale of 40 gr correspond to the 80th percentile of the data since accumulates 80% of the values below.

Step-by-step explanation:

We can define a percentile as "a value on a scale of 100 that indicates the percent of a distribution that is equal to or below it"

For this case we have the following data given:

6 , 9, 10, 20, 22, 25, 27, 40 , 48, 59

And we want to calculate the percentile for the value of 40 grams

Since the dataset is on increasing way there is no problem to calculate this percentile.

We see that we have a total of n =10 observations, and we can rank the position of each observation (i) like this:

x=6, 9, 10, 20, 22, 25, 27, 40 , 48, 59

i= 1, 2 , 3, 4, 5, 6, 7, 8, 9, 10

And as we can see here the position for x=40 is 8, so then we can calculate the percentile for 40 grams like this:

$p=\frac{8}{10} *100 = 80$

So the the vale of 40 gr correspond to the 80th percentile of the data since accumulates 80% of the values below.

3 0

2 years ago

2 What is the range of the numbers 11, 24, 37, 44, and 62? 24.44 11372 A6 A А 62 B. 52 С 51 D 49

inessss [21]

Answer:

range = 51

Step-by-step explanation:

Range = biggest - smallest

62 - 11 = 51

5 0

2 years ago

Janelle can get a 24-pack of bottled water for $6.80. How much would Janelle have to pay for a 12-pack of bottled water if the r

solniwko [45]

She would have to pay $3.40 I think. A 12-pack is half the size of a 24-pack so I did half the price.

7 0

3 years ago

Read 2 more answers

What are the factors of the expression below? -2x+5x-3

Ipatiy [6.2K]

Answer:

-2x-15

Step-by-step explanation:

4 0

2 years ago

Sarah claims that the thickness of the spearmint gum she produces is 7.5 one-hundredths of an inch. A quality control specialist

satela [25.4K]

Answer:

$t=\frac{7.55-7.5}{\frac{0.103}{\sqrt{10}}}=1.539$

$p_v =2*P(t_{(9)}>1.539)=0.158$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis.

Step-by-step explanation:

Data given and notation

Data: 7.65, 7.60, 7.65, 7.7, 7.55, 7.55, 7.4, 7.4, 7.5, 7.5

We can begin calculating the sample mean given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And the sample deviation given by:

$s=\sart{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And we got:

$\bar X=7.55$ represent the sample mean

$s=0.103$ represent the sample standard deviation

$n=10$ sample size

$\mu_o =7.5$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 7.5 or no, the system of hypothesis would be:

Null hypothesis: $\mu = 7.5$

Alternative hypothesis: $\mu \neq 7.5$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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:

$t=\frac{7.55-7.5}{\frac{0.103}{\sqrt{10}}}=1.539$

P-value

The first step is calculate the degrees of freedom, on this case:

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

Since is a two sided test the p value would be:

$p_v =2*P(t_{(9)}>1.539)=0.158$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis.

3 0

3 years ago