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3 years ago

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Mathematics

1 answer:

antoniya [11.8K]3 years ago

6 0

There is 3.7 grams of sugar in each ounce of sugar Buzz.

Two variables are said to be proportional or have a proportional relationship when they have equivalent ratios. That is they increase or decrease by a factor.

Let x represent the size of Sugar Buzz soft drink and let y represent the amount of sugar.

y is proportional to x, hence:

y = kx; k is the constant of proportionality.\

When x = 12 ounce, y = 44.4 grams, hence:

12k=44.4

k = 3.7 gram per ounce

Therefore there is 3.7 grams of sugar in each ounce of sugar Buzz.

Find out more at: brainly.com/question/25049845

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A certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of a writin

Morgarella [4.7K]

Answer:

(a) We reject our null hypothesis.

(b) We fail to reject our null hypothesis.

(c) We fail to reject our null hypothesis.

Step-by-step explanation:

We are given that a certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of a writing machine) is at least 10 hr.

A random sample of 18 pens is selected.

Let $\mu$ = true average writing lifetime under controlled conditions

So, Null Hypothesis, $H_0$ : $\mu \geq$ 10 hr {means that the true average writing lifetime under controlled conditions is at least 10 hr}

Alternate Hypothesis, $H_A$ : $\mu$ < 10 hr {means that the true average writing lifetime under controlled conditions is less than 10 hr}

The test statistics that is used here is one-sample t test statistics;

T.S. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean

s = sample standard deviation

n = sample size of pens = 18

n - 1 = degree of freedom = 18 -1 = 17

Now, the decision rule based on the critical value of t is given by;

If the value of test statistics is more than the critical value of t at 17 degree of freedom for left-tailed test, then we will not reject our null hypothesis as it will not fall in the rejection region.

If the value of test statistics is less than the critical value of t at 17 degree of freedom for left-tailed test, then we will reject our null hypothesis as it will fall in the rejection region.

(a) Here, test statistics, t = -2.4 and level of significance is 0.05.

Now, at 0.05 significance level, the t table gives critical value of -1.74 at 17 degree of freedom.

Here, clearly the value of test statistics is less than the critical value of t as -2.4 < -1.74, so we reject our null hypothesis.

(b) Here, test statistics, t = -1.83 and level of significance is 0.01.

Now, at 0.051 significance level, the t table gives critical value of -2.567 at 17 degree of freedom.

Here, clearly the value of test statistics is more than the critical value of t as -2.567 < -1.83, so we fail to reject our null hypothesis.

(c) Here, test statistics, t = 0.57 and level of significance is not given so we assume it to be 0.05.

Now, at 0.05 significance level, the t table gives critical value of -1.74 at 17 degree of freedom.

Here, clearly the value of test statistics is more than the critical value of t as -1.74 < 0.57, so we fail to reject our null hypothesis.

8 0

3 years ago

Divide 56 in a ratio of 5.3

Varvara68 [4.7K]

In order to find what one part is in a ratio, you have to add the ratio up ( 5+ 3) and divide it by the number you're looking for (56). In this case, you get 56/8, which gives you 7. Therefore, each part is worth 7. You then have to multiply both sides of the ratio (5 and 3) by 7. 5x7= 35. 3x7= 21. Therefore, 56 divided into the ratio of 5:3 is 35:21

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3 years ago

How might the crisis in biodiversity lead to a food crisis for humans?

EleoNora [17]

Answer:

Hi and heres your answer!

Step-by-step explanation:

The crisis of biodiversity will lead to a food crisis for humans because:

1.No varieties in certain foods like plants and animals that are healthy

2.The Less food there is,more animals go extinct which means humans will go extinct too.

and finally 3: Without certain types of species like the bee, humans have no chance of survival (since bees pollinate flowers,fruits,and plants which could be used for human consumption and medicine)

Hope this helped

Plz mark brainliest

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Have a great day,Youre amazing!

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2 years ago

What is the least common multiple of 12, 18, and 45?

Basile [38]

Answer:

180

Step-by-step explanation: