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3 years ago

14

a group of three friend order a combo meal which includes two slices of pizza and a drink . Each drink is priced at $2.50. if th

e combined total is $31.50, how much is the cost of a slice of pizza

1 answer:

Iteru [2.4K]3 years ago

6 0

Answer:

$9.60

Step-by-step explanation:

31.50-2.50=29.00

$29.00 / 3 = $9.60 per slice of pizza

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A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile st

maxonik [38]

Answer:

$z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413$

$p_v =2*P(z>1.413)=0.158$

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 reject the null hypothesis, so we can't conclude that the average tensile strength is different from 5lbs/mm at 10% of signficance

Step-by-step explanation:

Data given and notation

$\bar X=5.0611$ represent the sample mean

$\sigma=0.2803$ represent the population standard deviation for the sample

$n=42$ sample size

$\mu_o =5$ represent the value that we want to test

$\alpha=0.1$ 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 true mean is different from 5, the system of hypothesis would be:

Null hypothesis: $\mu = 5$

Alternative hypothesis: $\mu \neq 5$

If we analyze the size for the sample is > 30 but and we know the population deviation so 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:

$z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413$

P-value

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

$p_v =2*P(z>1.413)=0.158$

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 reject the null hypothesis, so we can't conclude that the average tensile strength is different from 5lbs/mm at 10% of signficance

8 0

4 years ago

Marigold Industries collected $104,000 from customers in 2019. Of the amount collected, $24,400 was for services performed in 20

m_a_m_a [10]

Answer:

$\text{Net accrual income}=\$31,600$

Step-by-step explanation:

We have been given that Marigold Industries collected $104,000 from customers in 2019. Of the amount collected, $24,400 was for services performed in 2018. In addition, Marigold performed services worth $39,000 in 2019, which will not be collected until 2020.

Let us find revenue earned in 2019 by subtracting revenue earned from 2018 and adding revenue earned in 2019 to total revenue as:

$\text{Revenue in 2019}=\$104,000-\$24,400+\$39,000$

$\text{Revenue in 2019}=\$118,600$

Marigold Industries also paid $73,900 for expenses in 2019. Of the amount paid, $29,100 was for expenses incurred on account in 2018. In addition, Marigold incurred $42,200 of expenses in 2019, which will not be paid until 2020.

Now, we will find expenses in 2019 by subtracting expenses in 2018 and adding expenses in 2019 to total expenses as:

$\text{Expenses in 2019}=\$73,900-\$29,100+\$42,200$

$\text{Expenses in 2019}=\$87,000$

To find accrual net-income, we will subtract$87,000 from $118,600 as:

$\text{Net accrual income}=\$118,600-\$87,000$

$\text{Net accrual income}=\$31,600$

Therefore, the net accrual income for 2019 would be $31,600.

5 0

3 years ago

Sonny has $75 to spend. The purchase he wants to make requires$93. If he borrows the extra money that he needs, how much does he

lidiya [134]

All you gotta do is subtract both of the numbers to get how much you need.

93 - 75 = 18

We can double check to see if it's right by using addition

18 + 75 = 93

Sonny needs to borrow 18$ to meet his required amount :D

7 0

4 years ago

I’m so confused someone please help me

asambeis [7]

Answer:

Figure 5

Step-by-step explanation:

Figure 5, if you draw a line down the middle it is the same on both sides

6 0

3 years ago

As a salesperson at Max’s Mattresses, Richard earns $250 plus $15 for each mattress he sells. Which equation can Richard use to

DedPeter [7]

Answer:

e = 250 + 15m

Step-by-step explanation:

The earnings or "e" are determined by the solution of the $250 he's earned from the start and the $15 he earns are dependent on the amount of mattresses he's sold so "m" has to be multiplied by the 15.

4 0

3 years ago