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posledela
2 years ago
3

A vector drawn 15 mm long represents a velocity of 30 m/s. How long should you draw a vector to represent a velocity of 20 m/s ?

Mathematics
1 answer:
KIM [24]2 years ago
4 0

Answer:

10 mm

Step-by-step explanation:

we know that

A vector drawn 15 mm long represents a velocity of 30 m/s

so

using proportion

Find out how long should you draw a vector to represent a velocity of 20 m/s

Let

x -----> the length of a vector that represent a velocity of 20 m/s

\frac{15}{30}\frac{mm}{(m/sec)}=\frac{x}{20}\frac{mm}{(m/sec)}\\\\x=15(20)/30\\\\x=10\ mm

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Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be wo
Katena32 [7]

Answer:

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

Step-by-step explanation:

Let

t ------> is the number of minutes he spends on each scale

Remember that the phrase "at least"  is equal to "greater than or equal"

so

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70-5t \geq 55

solve for t

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Multiply by -1 both sides

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Divide by 5 both sides

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Sven is incorrect

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

5 0
2 years ago
An article estimates, with 90% confidence, that the proportion of elementary school teachers who are female is 82%. The article
GREYUIT [131]

Answer:   (80% , 85%)

Step-by-step explanation:

We know that, confidence interval for population proportion is given by :-

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Given : Proportion of elementary school teachers who are female = 82%.

The article also states the maximum error of their estimate = 3%.

Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :

(82%-2% , 82%+3%)

= (80% , 85%)

Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)

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2 years ago
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