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3 years ago

How to find the value of a+b+c given that a=4,b=3 and c= -2

Mathematics

1 answer:

Alexus [3.1K]3 years ago

8 0

Answer: 5

Step-by-step explanation: 4 + 3 + -2 = 5

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What is the positive slope of the asymptote of the hyperbola?The positive slope of the asymptote is

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Answer:

Step-by-step explanation:

on edge

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3 years ago

The values of 60, 62, and 84 were common to both samples. The three values are identified as outliers with respect to the age-gr

postnew [5]

Answer:

Only 60 is an identified outlier

Step-by-step explanation:

Given

Age group: 40 to 50

$Min = 60$ $Q_1 = 70$ $Median= 73$

$Q_3 = 76$ $Max = 85$

Conditions for outlier

$Value > Q_3 + 1.5 * IQR$

$Value < Q_1 - 1.5 * IQR$

See attachment for complete question

Required

Which of 60, 62 and 84 is an outlier of age grout 40 to 50 years

First, calculate the IQR of group 40 to 50.

This is calculated as:

$IQR = Q_3 - Q_1$

Where:

$Q_3 = 76$ and $Q_1 = 70$

So:

$IQR = 76 - 70$

$IQR = 6$

Next, is to test the outlier conditions on each value (i.e. 60, 62 and 84)

Testing 60

Condition 1

$Value > Q_3 + 1.5 * IQR$

$60 > 76 + 1.5 * 6$

$60 > 76 + 9$

$60 > 85$ --- False

Condition 2

$Value < Q_1 - 1.5 * IQR$

$60 < 70 - 1.5 * 6$

$60 < 70 - 9$

$60 < 61$ --- True

Because one of the conditions is true, then 60 is an outlier of group 40 - 50 years

Testing 62

Condition 1

$Value > Q_3 + 1.5 * IQR$

$62> 76 + 1.5 * 6$

$62 > 76 + 9$

$62 > 85$ --- False

Condition 2

$Value < Q_1 - 1.5 * IQR$

$62 < 70 - 1.5 * 6$

$62 < 70 - 9$

$62 < 61$ --- False

Because both conditions are false, then 62 is not an outlier of group 40 - 50 years

Testing 84

Condition 1

$Value > Q_3 + 1.5 * IQR$

$84> 76 + 1.5 * 6$

$84 > 76 + 9$

$84 > 85$ --- False

Condition 2

$Value < Q_1 - 1.5 * IQR$

$84 < 70 - 1.5 * 6$

$84 < 70 - 9$

$84 < 61$ --- False

Because both conditions are false, then 84 is not an outlier of group 40 - 50 years

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3 years ago

Find two consecutive integers whose sum is -29

LuckyWell [14K]

Example:

The sum of two consecutive integers is -15. What is the product of the two integers?

x = 1st consecutive integer

x + 1 = 2nd consecutive integer {consecutive integers increase by 1}

x + x + 1 = -15 {the sum of two consecutive integers is -15}

2x + 1 = -15 {combined like terms}

2x = -16 {subtracted 1 from each side}

x = -8 {divided each side by 2}

x + 1 = -7 {substituted -8, in for x, into x + 1}

-8 and -7 are the two consecutive integers

Their product is 56.

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Answer:

Step-by-step explanation:

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x = 15•40/24

x = 25

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