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2 years ago

12

How do you find the scientific notation of: 29,678,900,522?

1 answer:

OlgaM077 [116]2 years ago

8 0

2.9678900522•10 (to the 10th power)

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The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a

JulsSmile [24]

Answer:

x = 60

Step-by-step explanation:

t = $\frac{k}{x}$

15 = k/68

k=1020

~~~~~~~~~~~

17 = 1020/x

x = 1020/17

x = 60

6 0

2 years ago

Below are survival times (in days) of 13 guinea pigs that were injected with a bacterial infection in a medical study:

tresset_1 [31]

Outliers are data that are relatively far from other data elements.

The dataset has an outlier and the outlier is 120

The dataset is given as:

91 83 84 79 91 93 95 97 97 120 101 105 98

Sort the dataset in ascending order

79 83 84 91 91 93 95 97 97 98 101 105 120

<h3>The lower quartile (Q1)</h3>

The Q1 is then calculated as:

$Q1 = \frac{N +1}{4}th$

So, we have:

$Q1 = \frac{13 +1}{4}th$

$Q1 = \frac{14}{4}th$

$Q1 = 3.5th$

This is the average of the 3rd and the 4th element

$Q1 = \frac{1}{2} \times (84 + 91)$

$Q1 = 87.5$

<h3>The upper quartile (Q3)</h3>

The Q3 is then calculated as:

$Q3 = 3 \times \frac{N +1}{4}th$

So, we have:

$Q3 = 3 \times \frac{13 +1}{4}th$

$Q3 = 3 \times 3.5th$

$Q3 = 10.5th$

This is the average of the 10th and the 11th element.

$Q_3 =\frac12 \times (98 + 101)$

$Q_3 =99.5$

<h3>The interquartile range (IQR)</h3>

The IQR is then calculated as:

$IQR = Q_3 -Q_1$

$IQR = 99.5 - 87.5$

$IQR = 12$

Also, we have:

$IQR(1.5) = 12 \times 1.5$

$IQR(1.5) = 18$

<h3>The outlier range</h3>

The lower and the upper outlier range are calculated as follows:

$Lower = Q_1 - IQR(1.5)$

$Lower = 87.5- 18$

$Lower = 69.5$

$Upper = Q_3 + IQR(1.5)$

$Upper = 99.5 + 18$

$Upper = 117.5$

120 is greater than 117.5.

Hence, the dataset has an outlier and the outlier is 120

Read more about outliers at:

brainly.com/question/9933184

6 0

1 year ago

A triangle ABC has A(1,-4) B(3,-1) C(3,-8).Find the length of the sides AB and AC

mr_godi [17]

Answer:

Step-by-step explanation:

AB= $\sqrt{(1^{2} -3^{2})+((-4)^{2} -(-1)^{2} ) }$

= $\sqrt{7}$

AC= $\sqrt{(3^{2} -1^{2} )+((-8)^{2}- (-4)^{2} )} \\$

= $\sqrt{56}$

4 0

2 years ago

What is 87.561 rounded to the tenths

MrRa [10]

Answer:

90

Step-by-step explanation:

3 0

2 years ago

Find the value of x. 4^3 = x

pshichka [43]

Answer:

x=64

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers