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3 years ago

Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points before

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

6 0

Answer:

The finish line

Step-by-step explanation:

Jonas is planning his trip using the finish line as reference point. He is using an interval scale (using meters as measurement) and the finish line = 0 meters or the starting point. Anything before the finish is negative and anything after is positive. In this case, his wife is located at 91 + 14 = 105 meters away from him. When you use an interval scale to measure distance, you must use absolute values to determine the distance because positive and negative points.

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The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. (

Vinvika [58]

Answer:

a) $P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

b) $z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

$X \sim N(106,0.3)$

Where $\mu=106$ and $\sigma=0.3$

Part a

We are interested on this probability

$P(X>106.11)$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And using this formula we got:

$P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score we got:

$z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

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2 years ago

make a box-and-whisker plot for the data. numbers of colors in a country's flag :3,2,2,4,4,3,6,3,5,3,4,1

Irina-Kira [14]

Answer: see attachment

Step-by-step explanation:

Put the numbers in order from smallest to biggest:

1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 6

↓ ∨ ↓

Q1 Median Q3

Q1 median = (2+3)/2 = 2.5 <---- left side of box plot

Median = (3+3)/2 = 3 <---- Vertical Line of box plot

Q3 median = (4+4)/2 = 4 <---- right side of box plot

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3 years ago

Alejandro uses the steps below to convert

dezoksy [38]

Answer:

The division was computed incorrectly.

Step-by-step explanation:

Given

Workings:

$\frac{5}{8}$ to percentage

$\frac{8}{5} = 1.6 = 160\%$

Required

Explain his error

The question says 5/8

Instead, Alejandro's working shows 8/5.

This working is done in an incorrect order and the correct solution is:

Let

$x = \frac{5}{8}$

Solve the fraction

$x = 0.625$

Multiply by 100%

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Hence, option (a) is correct.

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