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2 years ago

Here's a little something that will tease your brain. I doubt someone will answer this

Mathematics

2 answers:

Aneli [31]2 years ago

5 0

Answer:

500ml orange juice is the most cost effective

iVinArrow [24]2 years ago

4 0

500 ml is the answer

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A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

$\alpha$ 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case 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".

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

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

6 0

2 years ago

It takes three hours for a boat to go 18 miles downstream, and nine hours to return. What is the rate of the boat in calm water

vampirchik [111]

Step-by-step explanation:

Distance = rate × time

If B is the rate of the boat, and C is the rate of the current, then we can write two equations:

18 = (B + C) × 3

18 = (B − C) × 9

Simplifying the equations:

6 = B + C

2 = B − C

Add the equations together to eliminate C:

8 = 2B

B = 4

Plug into either equation to find C:

C = 2

The boat's rate is 4 mph, and the current's rate is 2 mph.

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2 years ago

600000 80000 10 expanded. form

kirza4 [7]

600000+80000+10=680,010 six hundred eighty thousand ten

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2 years ago

Write an equivalent fractions for 7x+4x+3-1

Diano4ka-milaya [45]

11x + 2 is combining like terms

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2 years ago

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Charles has $20 to spend at the bakery he wants to buy six cupcakes and a pie. The pie costs

Oduvanchick [21]

The most he can buy for each cupcake is 1.25

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2 years ago

Here's a little something that will tease your brain. I doubt someone will answer this​

Here's a little something that will tease your brain. I doubt someone will answer this