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Komok [63]
3 years ago
7

Plz help me!!! I need this answered correctly and with explanation!!! Solve z/−8 ≥ −0.25

Mathematics
2 answers:
eduard3 years ago
8 0

Answer:

z≥-2

Step-by-step explanation:

z/-8≥-0.25

In order to get the letter z by its self you have to do the same thing to each side of the greater or equal to symbol.

In order to get the z by its self you need to do the opposite as what is shown so you can get down to just the simpiest form: for example if you are multiplying you would end up deviding on both sides of you sign.

So insted of dividing z by -8 we will multiply -8 to each side and so on... I will write it out to show you:

z/-8≥-0.25

*-8        *-8

z≥-2

Svetlanka [38]3 years ago
6 0

Answer:

z≤2

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−1/8z≥−0.25

Step 2: Multiply both sides by 8/(-1).

(8/−1)*(−18z)≥(8−1)*(−0.25)

z≤2

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Binomial theorem Expand (5 - y)3
Snowcat [4.5K]

Answer:

(5 - y) ^3 = 125 - 75y + 15y^2 - y^3

Step-by-step explanation:

Binomial expression

1

1. 1

1. 2. 1

1. 3. 3. 1 --------power of 3

( 5 - y) ^3

( 5 - y) (5 - y) (5 - y)

( a + b) ^3 = a^3 + 3a^2b + 3ab^2 + b^3

a = 5

b = -y

( 5 - y) ^2 = ( 5 - y) (5 - y)

= 5( 5 - y) - y(5 - y)

= 25 - 5y - 5y + y^2

=(25-10y+y^2)

( 25 - 10y + y^2)( 5 - y)

= 5(25 - 10y + y^2) - y( 25 - 10y + y^2)

= 125 - 50y + 5y^2 - 25y + 10y^2 - y^3

Collect the like terms

= 125 - 50y - 25y + 5y^2 + 10y^2 - y^3

= 125 - 75y + 15y^2 - y^3

7 0
3 years ago
• The total rise of a set of stairs is 81.125". If there are 11 risers, what is the height of
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Answer:

7.375".

Step-by-step explanation:

That would be 81.125 / 11

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3 0
3 years ago
a local school raised 5687.50 for the terry fox foundation. Hua raised 0.8% of this total. how much money did Hua raise?
zlopas [31]
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So Hua raised $4550 out of the $5687.50.
6 0
3 years ago
Can y'all help me step by step with number 5
aev [14]
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6 0
3 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
2 years ago
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