What is 3,745 gram in kilograms

Obasi earns 150% of his regular hourly wage while working overtime. What fraction of his regular hourly wage does Obasi earn whi

LenaWriter [7]

Answer:

3/2

Step-by-step explanation:

We are simply required to write the percentage in fraction form.

150% : 150/100

150/100 = 3/2

Thus, Obasi earns 3/2 of his hourly wage when working overtime.

6 0

4 years ago

A freight train was supposed to travel 1300 miles in 50 hours. When the train had traveled 0.4 of this distance, it was delayed

Salsk061 [2.6K]

Answer:

The answer is 30 miles per hour

Step-by-step explanation:

1) From the question we can calculate the initial speed of the train

Initial speed = 1300 miles / 50 hours
= 26 miles / hour

2) Next, we can calculate the amount of distance already traveled:

Distance traveled = 1300 * 0.4

= 520 miles

3) Now let's calculate the amount of time it took to travel the 520 miles:
From point no. 1 we saw that it was traveling at the speed of 26 miles/ hour, so let's calculate the time elapsed.

Time elapsed = 520 miles / 26 hours

= 20 hours
But then again the text states the train was delayed by 4 hours, therefore the total time elapsed was 24 hours

4) Now to find the new speed required to arrive on time, we need to calculate how many hours and distance are left:

From point no. 2 we calculate the distance left
Distance left = 1300 - 520
= 780 miles

From point no. 3 we can calculate the amount of time left:
Time left = 50 - 24
= 26 hours

Finally, we can find the new speed required to arrive on time:
New speed = 780 miles / 26 hours
= <u>30 miles / hour</u>

3 0

2 years ago

Jessica Jones $425 per week working at a hair salon the weekly expenses are $93.50. What percentage of weekly income goes to pay

AysviL [449]

Answer:

22%

Step-by-step explanation:

22% of 425 is 93.5

This means that 22% of her weekly income goes to paying her weekly expenses.

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3 0

3 years ago

TheUnited States geological survey suggests that loss of wetlands on Louisiana coast occurs at a constant rate for the Time peri

Eduardwww [97]

Answer:

IDEK ask google

Step-by-step explanation:

4 0

4 years ago

Suppose we are testing people to see if the rate of use of seat belts has changed from a previous value of 88%. Suppose that in

Andreas93 [3]

Answer:

a) We would expect to see 500*0.88=440

b) $z=\frac{0.9 -0.88}{\sqrt{\frac{0.88(1-0.88)}{500}}}=1.376$

$p_v =2*P(Z>1.376)=0.167$

So the p value obtained was a very high value and using the significance level assumed $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion is not significant different from 0.9.

The p value is a criterion to decide if we reject or not the null hypothesis, when $p_v$ we reject the null hypothesis in other case we FAIL to reject the null hypothesis. And represent the "probability of obtaining the observed results of a test, assuming that the null hypothesis is correct".

Step-by-step explanation:

Data given and notation

n=500 represent the random sample taken

X=450 represent the people that have the seat belt fastened

$\hat p=\frac{450}{500}=0.9$ estimated proportion of people that have the seat belt fastened

$p_o=0.88$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v{/tex} represent the p value (variable of interest) Part aWe would expect to see 500*0.88=440Part bConcepts and formulas to use We need to conduct a hypothesis in order to test the claim that the true proportion changes fro m 0.88.: Null hypothesis:[tex]p=0.88$

Alternative hypothesis: $p \neq 0.88$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.9 -0.88}{\sqrt{\frac{0.88(1-0.88)}{500}}}=1.376$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level assumed is $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(Z>1.376)=0.167$

So the p value obtained was a very high value and using the significance level assumed $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion is not significant different from 0.9.

The p value is a criterion to decide if we reject or not the null hypothesis, when $p_v$ we reject the null hypothesis in other case we FAIL to reject the null hypothesis. And represent the "probability of obtaining the observed results of a test, assuming that the null hypothesis is correct".

8 0

3 years ago