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tia_tia [17]
3 years ago
15

Indica and jean begin their hike at 10 am. they plan to hike fromthe 2.4 mile marker to the 8.1 mile marker. they plan to hike a

n average speed of 3 miles per hour. will they reach the 8.1 marker before noon? explain your reasoning.
Mathematics
1 answer:
Murrr4er [49]3 years ago
8 0
Yes they should reach the 8.1 mile marker by noon
2 hours equals 6 miles 2.4+6=8.4
if they kept walking for a full 2 hours they would reach the 8.4 mile marker
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How can we simplify radicals involving negative values?
RSB [31]

Answer:

using imaginary numbers

Step-by-step explanation:

4 0
2 years ago
Find the area of a circle with a diameter of 16.
tangare [24]

Answer:

Step-by-step explanation:

Area of circle:

<em>area = π · r · r</em>

<em>Radius=  </em>\frac{16}{2}= 8

3.14\times { 8  }^{ 2  } = 200.96 cm^2\\

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8 0
2 years ago
Birth weights at a local hospital have a Normal distribution with a mean of 110 oz and a standard deviation of 15 oz. The propor
OLga [1]

Answer:

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

\mu = 110, \sigma = 0.15

The proportion of infants with birth weights between 125 oz and 140 oz is

This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So

X = 140

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

Z = \frac{140 - 110}{15}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 125

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

Z = \frac{125 - 110}{15}

Z = 1

Z = 1 has a pvalue of 0.8413

0.9772 - 0.8413 = 0.1359

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

4 0
3 years ago
EMERGENCY <br> Triangles ABC and DEF are similar. Find the length of the segments EF and DF
Gala2k [10]

Answer:

EF = 1.5. DF = 2.

Step-by-step explanation:

DE is half of AB so EF is half of BC and DF is half of AC.

7 0
2 years ago
heyyy i did question A but im stuck on question b so if you could help i would really appreciate it it is an emergency &lt;3
stellarik [79]

Answer:

86 cm²

Step-by-step explanation:

Ok, so since 4 circles fit in the square, each circle's diameter must be 10.

Which means the radius of each circle is 5 because 10 ÷ 2 = 5.

Now we can solve for area.

A = πr²

A = 3.14 x 5²

A = 3.14 x 25

A = 78.5 cm²

78.5 cm² is the area of one circle so we multiply that by 4.

78.5 x 4 = 314 cm²

Now we subtract from the area of the square.

20 x 20 = 400 cm²

400 - 314 = 86 cm²

8 0
2 years ago
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