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likoan [24]
1 year ago
9

Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn a

Mathematics
1 answer:
professor190 [17]1 year ago
8 0

Answer:

h + s = 15

2h + s = 20

Step-by-step explanation:

Let the number of hats Chevy made = h

Let the number of scarves made by Chevy = s

From the statement of the question, " Chevy made a total number of 15 items"

Equation will be  h + s = 15

Amount of yarn used to make one hat = 0.2 kilograms

So amount of yarn used to make "h"hats = 0.2h kilograms

Similarly Amount of yarn used to make one scarf = 0.1 kilograms

So amount of yarn used to make "h" scarves = 0.1s kilograms

Another statement states " Chevy wants to use 2 kilograms of yarn to make these items".

Equation for this statement will be,

0.2h + 0.1s = 2

OR 2h + s = 20 [By multiplying the equation by 10]

Therefore, system of the equations will be

h + s = 15

2h + s = 20

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Step-by-step explanation:

Property value = $35000

To calculate annual tax:

Assessed value = $35000 * 0.40

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annual tax on assessed value:

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the table shows the blood type of male and female patients at a hospital. what is the relative frequency of a patient who is mal
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The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in n
devlian [24]

Answer:

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

Step-by-step explanation:

Problems of normally distributed samples can be 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}

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.

In this problem, we have that:

A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm, so \mu = 49.9, \sigma = 3.74.

What is the length in cm of the longest 15% of Atlantic cod in this area?

We have to find the value of X for the value of Z that has a pvalue of 0.85.

Looking at the zscore table, we have that Z = 1.04 has a pvalue of 0.8508. So, we have to find the value of X when Z = 1.04, \mu = 49.9, \sigma = 3.74.

So

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

1.04 = \frac{X - 49.9}{3.74}

X - 49.9 = 3.8896

X = 53.7896

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

8 0
1 year ago
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