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Elis [28]
3 years ago
9

The variable z is directly proportional to x, and inversely proportional to y. When x is 6 and y is 6, z has the value 12.

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

z is directly proportional to x: z = kx.

If z is directly proportional to x and inversely proportional to y, then z = Kx/y.

When x= 6 and y = 6, z is 12. Find the constant of proportionality, K:

12 = K(6/6), or K = 12

Then, in general, z = 12x/y.

What is z when x=13 and y=10? z = 12(13)/(10) = 15.6 (answer)

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When ringing up a customers cashier needs 25 seconds to process payment as well as 1 second to scan each item being purchased. H
Sergio [31]

Multiply the amount of seconds to ring up items by the amount of items.

1 × 17 = 17

Now add the amount of seconds to process a payment to the product.

17 + 25 = 42

<h2>Answer:</h2>

<u>It takes </u><u>42 seconds</u><u> to ring up a customer with 17 items.</u>

5 0
3 years ago
The cost for a pack of 9 padlock is $25.20 find the unit price in dollars per padlock if necessary round your answer to the near
Elena-2011 [213]

Answer:

2.80

Step-by-step explanation:

Take the cost and divide by the number of padlocks

25.20/9

2.80

Each padlock costs 2.80

8 0
3 years ago
Read 2 more answers
Using the z table, find the critical value for a=0.024 in a left tailed test
natita [175]

Answer:

Critical value is -1.98.

Step-by-step explanation:

Given:

The value of alpha is, \alpha=0.024

Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.

The probability of critical value is given as:

P(critical)=1-\alpha=1-0.024=0.976

So, from the z-score table, the value of z-score for probability 0.976 is 1.98.

Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.

So, the z-score for critical value 0.024 in a left tailed test is -1.98.

7 0
3 years ago
Round 0.1278 to the nearest thousandth
eduard
≈0.128 is the correct answer
5 0
3 years ago
Leah walks to soccer practice on Saturday. She leaves her home and walks 600 meters north. Leah then turns east and continues on
Diano4ka-milaya [45]

Answer:

800m

Step-by-step explanation:

this would be solved using Pythagoras theorem

we are to find the base

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

600² + b² = 100²

b² = 10000 - 3600

b² = 6400

take the square root of both sides

b = 800m

4 0
2 years ago
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