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juin [17]
3 years ago
11

Zaiden is an American traveling with a tour group in Southeast Asia. During a stop in the Philippines, he purchases a souvenir t

hat is priced at 2,621 Philippine pesos using his credit card. If the exchange rate that day is USD to PHP = 43.36, which is the best estimate of the charge Zaiden will later find on his credit card statement?
Mathematics
2 answers:
Alina [70]3 years ago
7 0

Answer:

Zaiden would later find $60.45 on his credit card statement.

Step-by-step explanation:

When Zaiden purchased a souvenir, exchange rate of dollar to PHP  was

1 USD = 43.46 PHP

Cost of Souvenir = 2,621 PHP

Charge in USD = 2,621 ÷ 43.36 = $60.45

Zaiden would later find $60.45 on his credit card statement.

Assoli18 [71]3 years ago
4 0
2,621/43.36= your answer 
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. In a study of air-bag effectiveness it was found that in 821 crashes of midsize cars equipped with air bags, 46 of the crashes
jok3333 [9.3K]

Answer:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

0.00885... < 0.01

The test statistic of 46 is significant

There is sufficient evidence to reject H₀ and accept H₁

Air bags are more effective as protection than safety belts

Step-by-step explanation:

821 crashes

46 hospitalisations where car has air bags

7.8% or 0.078 probability of hospitalisations in cars with automatic safety belts

α = 0.01 or 1% ← level of significance

One-tailed test

We are testing whether hospitalisations in cars with air bags are less likely than in a car with automatic safety belts;

The likelihood of hospitalisation in a car with automatic safety belts, we are told, is 7.8% or 0.078;

So we are testing if hospitalisations in cars with air bags is less than 0.078;

So, firstly:

Let X be the continuous random variable, the number of hospitalisations from a car crash with equipped air bags

X~B(821, 0.078)

Null hypothesis (H₀): p = 0.078

Alternative hypothesis (H₁): p < 0.078

According to the information, we reject H₀ if:

P(X ≤ 46 | X~B(821, 0.078)) < 0.01

To find P(X ≤ 46) or equally P(X < 47), it could be quite long-winded to do manually for this particular scenario;

If you are interested, the manual process involves using the formula for every value of x up to and including 46, i.e. x = 0, x = 1, x = 2, etc. until x = 46, the formula is:

P(X = r) = nCr * p^{r}  * (1 - p)^{n - r}

You can find binomial distribution calculators online, where you input n (i.e. the number of trials or 821 in this case), probability (i.e. 0.078) and the test statistic (i.e. 46), it does it all for you, which gives:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

Now, we need to consider if the condition for rejecting H₀ is met and recognise that:

0.00885... < 0.01

There is sufficient evidence to reject H₀ and accept H₁.

To explain what this means:

The test statistic of 46 is significant according to the 1% significance level, meaning the likelihood that only 46 hospitalisations are seen in car crashes with air bags in the car as compared to the expected number in car crashes with automatic safety belts is very unlikely, less than 1%, to be simply down to chance;

In other words, there is 99%+ probability that the lower number of hospitalisations in car crashes with air bags is due to some reason, such as air bags being more effective as a protective implement than the safety belts in car crashes.

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3 years ago
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The sum of Alex's height and Ben's height is 130 inches. Subtracting Alex's height from Ben's height yields one-third of Ben's h
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Ben is 97.5 inches tall.

Alex is 32.5 inches tall.

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3 years ago
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Which equation passes through the points ( -4,1 ) (-8,13 )
Mashutka [201]

Answer:

y= = -3x -11

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Step-by-step explanation:

4 0
3 years ago
Sarah,Leah,Haley and Kim bought 5 bottles of water to share among themselves. They divided each bottle of water into 4 equal por
Irina18 [472]

Answer:

Sarah have \frac{5}{4} bottle of water.

Step-by-step explanation:

We are given that,

Total number of bottles = 5

As, each bottle is divided into 4 portions.

The amount of water per person = \frac{1}{4}

Further, Sarah took 1 portion from each bottle and there are 5 bottles.

So, the amount of water Sarah have = \frac{1}{4}\times 5 = \frac{5}{4}

Hence, Sarah have \frac{5}{4} bottle of water.

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3 years ago
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