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Sauron [17]
1 year ago
11

Liza's cousin Marie bought her a ring for 250 euros in France. Liza wants to pay Marie for it in U.S. dollars. If the foreign ex

change rate between the U.S. dollar and euro is 1:0.6, how much should Liza pay Marie?
Mathematics
1 answer:
EleoNora [17]1 year ago
4 0

Answer:

416.67 dollars

Step-by-step explanation:

the exchange rate between U.S. dollar and euro is given as

Exchange rate = 1:0.6

1 U.S. dollar /1 euro = 0.6

cross-multiplying both side

1 x 1 U.S. dollar = 0.6 x 1 euro

1 U.S. dollar = 0.6 euro

multiplying both side by 10

10 U.S. dollar = 0.6 x 10 euro

10 U.S. dollar = 6 euro

dividing both side by "6"

10 U.S. dollar/6 = 6 euro/6

(10/6) U.S. dollar = 1 euro

1 euro = (10/6) U.S. dollar

the ring was bought for 250 euros , we need to convert 250 euros in dollars.

multiplying both side by 250

250 x 1 euro = (250 x 10/6) U.S. dollar

250 euro = 416.67 U.S. dollar

so liza should pay 416.67 U.S. dollar to marie.

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The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V
aleksklad [387]

Answer:

The answer is explained below

Step-by-step explanation:

Given that The volume of air inside a rubber ball with radius r can be found using the function V(r) = \frac{4}{3}\pi r^3, this means that the volume of the air inside the rubber ball is a function of the radius of the rubber ball, that is as the radius of the rubber ball changes, also the volume of the ball changes.

As seen from the function, the radius is directly proportional to the volume of the ball, if the radius increases, the volume also increases.

V(\frac{5}{7} ) is equal to the volume of the ball when the radius of the ball is \frac{5}{7}. Therefore:

V(\frac{5}{7} )=\frac{4}{3} \pi *(\frac{5}{7} )^3=1.53\ unit^3

3 0
2 years ago
A race car driving under the caution flag at 40 feet per second begins to accelerate at a constant rate after the warning flag.
shtirl [24]

Answer:

t = 1.667 s

Step-by-step explanation

The distance traveled since the warning flag in feet is characterized by

d = 30*t^2 + 40*t

Where t is the time in seconds after the car starts accelerating.

We can easily solve this question by plotting the equation using a graphing calculator or plotting tool.

We need to find the time for which the distance d = 150 ft

150 = 30*t^2 + 40*t     , t > =0

We can see that this value in the graph is approximately

t = 1.667 s

We can verify

30*(1.667)^2 + 40*(1.667 ) ≈ 150

7 0
2 years ago
To plan the budget for next year a college must update its estimate of the proportion of next year's freshmen class that will ne
Naily [24]

Answer:

Null hypothesis:p\leq 0.35  

Alternative hypothesis:p > 0.35  

z=\frac{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491  

p_v =P(z>2.491)=0.0064  

So the p value obtained was a very low value and using the significance level assumed \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of applicants who request financial aid is significantly higher than 0.35

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=67 represent the applicants who request financial aid

\hat p=\frac{67}{150}=0.447 estimated proportion of applicants who request financial aid

p_o=0.35 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of applicants who request financial aid is higher than 0.35.:  

Null hypothesis:p\leq 0.35  

Alternative hypothesis:p > 0.35  

When we conduct a proportion test we need to use the z statistic, 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{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491  

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>2.491)=0.0064  

So the p value obtained was a very low value and using the significance level assumed \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of applicants who request financial aid is significantly higher than 0.35

5 0
2 years ago
1.How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall. 2.How many times as tall
EleoNora [17]

Answer:

Porter is n-m inches taller than Henry.

Porter is \frac{n}{m} times taller than henry.

Step-by-step explanation:

The difference in height can be found using subtraction.

Since Porter is taller than Henry, we'll subtract away Henry's height from Porter's height. This will leave us with only the difference between the heights.

n = Porter's height

m = Henry's height

Difference in height is thus:

n-m

Answer: Porter is n-m inches taller than Henry.

To find out how many times taller Porter is than Henry, we can use division.

An example: if Porter was 200cm, and Henry was 100cm, Porter is obviously 2 times as tall.

If we divide Porter's height by Henry's height...

\frac{200}{100}=2

..we'll get 2. This is because Henry's height "fits in twice" in Porter's height. 100 fits twice in 200.

Using our values, n and m, we'll divide n by m.

\frac{n}{m}

Answer: Porter is \frac{n}{m} times taller than henry.

3 0
2 years ago
In the picture, the angle made by the goniometer is classified as a(n) ___ angle. ___ ° < θ < ___ .
Svet_ta [14]
An obtuse angle which is greater than 90 degrees and less than 180 degrees.

5 0
2 years ago
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