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vivado [14]
3 years ago
11

Sophia exchanged 1000 U.S. dollars for the South African currency, which is called the rand. The exchange rate was 7.15 rand to

$1. How many south african rand did sophia get? please explain how you know.
Part B
Sophia spent 6,274 rand on her trip. The exchange rate was 1 rand to $0.14. How many US dollars did Sophia get? please support your answer.
thank you so much!!!
Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0
Part a:-

7.15 rands = 1 dollar

So we are going to MULTIPLY to find out how many rands there are going to be.

1000 × 7.15 = <span>7150

<span>So, 7150 rands is your answer. 

Part b:-

To do this first we will DIVIDE. 

6274 </span></span>÷ 7.15 ≈ <span>877.482.......

So, 6274 rands is ABOUT $878.

Par a:- 7150 rands

Part b:- about $878.

Hope I helped ya!!!!!</span>
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bennett was visiting five cities that lie on a coordinate grid at A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1). What is the midpo
bezimeni [28]

The midpoint between A and E is (0,1)

<h3>How to determine the midpoint between A and E?</h3>

The coordinates of the cities are given as:

A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1).

From the above, we have:

A = (-2,3)

E = (2,-1)

The midpoint between A and E is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

Substitute the known values in the above equation

Midpoint = 1/2 * (-2 + 2, 3 - 1)

This gives

Midpoint = 1/2 * (0, 2)

Evaluate the product

Midpoint = (0, 1)

Hence, the midpoint between A and E is (0,1)

Read more about midpoint at

brainly.com/question/5566419

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5 0
2 years ago
Suppose monthly rental prices for a one-bedroom apartment in a large city has a distribution that is skewed to the right with a
omeli [17]

Answer:

a) Nothing, beause the distribution of the monthly rental prices are not normal.

b) 1.43% probability that the sample mean rent price will be greater than $900

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

(a) Suppose a one-bedroom rental listing in this large city is selected at random. What can be said about the probability that the listed rent price will be at least $930?

Nothing, beause the distribution of the monthly rental prices are not normal.

(b) Suppose a random sample 30 one-bedroom rental listing in this large city will be selected, the rent price will be recorded for each listing, and the sample mean rent price will be computed. What can be said about the probability that the sample mean rent price will be greater than $900?

Now we can apply the Central Limit Theorem.

\mu = 880, \sigma = 50, n = 30, s = \frac{50}{\sqrt{30}} = 9.1287

This probability is 1 subtracted by the pvalue of Z when X = 900.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{900 - 880}{9.1287}

Z = 2.19

Z = 2.19 has a pvalue of 0.9857

1 - 0.9857 = 0.0143

1.43% probability that the sample mean rent price will be greater than $900

8 0
3 years ago
Gina earns $19,750 annually and has 20% of her gross earnings withheld. What is the net amount of her paycheck each pay period i
Kay [80]
Confuseing sorry can't answer that 
8 0
2 years ago
Read 2 more answers
Problem 3 A bank charges a service fee of $7.50 per month for a checking account. A bank account has $85.00. If no money is depo
omeli [17]

Answer:

12 months

Step-by-step explanation:

85-7.50x

At 11 months, the charges will add up to $82.50, so you know what after 12 months the account will be in the negative. At 12 months, the charges will be at $90, which means the account will have a balance of -$5

8 0
3 years ago
A seed company planted a floral mosaic of a national flag. The perimeter of flag is 2,340 ft determine the flag’s width and leng
Natali5045456 [20]

Answer:

Width: 450 feet

Length: 720 feet

Step-by-step explanation:

So we start with the equation to find the perimeter -

2l + 2w = p

l = length

w = width

p = perimeter

We insert the 2,340 ft as the perimeter -

2l + 2w = 2,340 ft

Now we find another equation for the "length is 270 ft greater than width" -

l = 270 ft + w

Using substitution, we substitute the y in the first equation with 270 ft + w -

2 (270 ft + w) + 2w = 2,340 ft

540 ft + 2w + 2w = 2,340 ft

540 ft + 4w = 2,340 ft

4w = 2,340 ft - 540 ft

4w = 1,800 ft

w = 1,800 ft / 4

w = 450 ft

Now to find the width we substitute the w with 450 ft -

l = 270 ft + w

l = 270 ft + 450 ft

l = 720 ft

Check -

2 * 720 ft + 2 * 450 ft = 2,340 ft

1,440 ft + 900 ft = 2,340 ft

2,340 ft = 2,340 ft  (Correct)

3 0
3 years ago
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