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Gnesinka [82]
3 years ago
12

Leo has $4.80 in dimes a d quarters he has 6 more dimes than quarters how many quarters does he have

Mathematics
2 answers:
Kryger [21]3 years ago
6 0

Answer:

Step-by-step explanation:

he has 4.80 in dimes and quarters....dimes (d) are worth 0.10 and quarters (q) are worth 0.25

0.10d + 0.25q = 4.80

he has 6 more dimes then quarters

d = q + 6

====================

d = q + 6...so we sub q + 6 in for d, back into the other equation

0.10(q + 6) + 0.25q = 4.80

0.10q + 0.60 + 0.25q = 4.80

0.35q = 4.80 - 0.60

0.35q = 4.20

q = 4.20 / 0.35

q = 12 <====== there is 12 quarters

d = q + 6

d = 12 + 6

d = 18 <===== there is 18 dimes

Kaylis [27]3 years ago
5 0
Leo has 12 quarters in total.
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Answer:

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3 years ago
You deposit $1500 in a stock account. The account starts losing 2.6% interest annually. How must money do you have after 2 years
Serhud [2]

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Step-by-step explanation:

Initially in the acount there is $1500

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The equation can be writen as:

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3 0
3 years ago
Read 2 more answers
The test statistic of zequals2.32 is obtained when testing the claim that pgreater than0.3. a. Identify the hypothesis test as b
Sonja [21]

Answer:

a) We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:  

Null hypothesis:p \leq 0.3  

Alternative hypothesis:p > 0.3  

Right tailed test

b) p_v =P(z>2.32)=0.0102  

c) So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

Step-by-step explanation:

Part a: Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:  

Null hypothesis:p \leq 0.3  

Alternative hypothesis:p > 0.3  

Right tailed test

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  

For this case the statistic is given by z_{calc}= 2.32

Part b: 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 next step would be calculate the p value for this test.  

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

p_v =P(z>2.32)=0.0102  

Part c

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

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morpeh [17]

Answer:

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2 years ago
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