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3 years ago

Can someone please solve and explain these questions??? With work please.

Mathematics

1 answer:

ankoles [38]3 years ago

8 0

Y=1 because on each equation it needs 1 for it to be the answer

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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

2 years ago

Can someone help me please

dolphi86 [110]

Answer:

3.5

Step-by-step explanation:

If you divide x from y on each row, you will always get 3.5

8 0

3 years ago

Ben inherited $10,000 and put it all in a stock index fund which promises 7.2% interest compounded quarterly. How much interest

DanielleElmas [232]

Answer:

I live in south Africa so my answer is 280.14

Step-by-step explanation:

7.5 over 100 times by 648.50 (thats how much $10.000 is in south Africa)

=46.69 times by 6

=280.14

7 0

2 years ago

After substituting, what is the first step when evaluating (4y+9)/7 when Y = 8

frozen [14]

Answer:

B. Multiply 8 by 4 is the answer

5 0

3 years ago

For each sequence,find the first 4 terms and the 10th term<br> a) n+5<br> b)2n-1

dsp73

Answer:

a)6,7,8,9 and 10th term is 15.

b)1,3,5,7 and 10th term is 19.

Step-by-step explanation:

Given a) n+5

b)2n-1

Solution for a) n+5

Taking the value of n is 1 we get the first term of the sequence;

$n+5=1+5=6$

Similarly taking the value of n 2,3,4 we get;

$2+5=7\\3+5=8\\4+5=9$

And for 10th term we take the value of n is 10 and get;

$n+5=10+5=15$

So the solution for 1st sequence is 6,7,8,9 and 10th term is 15.

Solution for b)2n-1

Taking the value of n is 1 we get the first term of the sequence;

$2n-1=2\times1-1=2-1=1$

Similarly taking the value of n 2,3,4 we get;

$2n-1=2\times2-1=4-1=3\\2\times3-1=6-1=5\\2\times4-1=8-1=7$

And for 10th term we take the value of n is 10 and get;

$2n-1=2\times10-1=20-1=19$

So the solution for 2nd sequence is 1,3,5,7 and 10th term is 19.

3 0

3 years ago

Can someone please solve and explain these questions??? ​With work please.

Can someone please solve and explain these questions??? With work please.