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3 years ago

without actually subtracting, how can you tell whether the result of subtracting two numbers will be negative?

Mathematics

2 answers:

nadya68 [22]3 years ago

3 0

Answer:

if a<b

Step-by-step explanation:

a-b<0 if a<b

Vika [28.1K]3 years ago

3 0

Answer:

if we subtract two negative numbers the result is negative .

for instance, -3-4 = -7

and if we subtract a positive number from a negative number the answer is positive and vice versa the answer will be negative if the negative number is greater than the positive number.

for instance, -6 + 2 = -4

but if the negative number is greater than, +6 - 2 = 4

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173700000 in scientific notation

charle [14.2K]

Step-by-step explanation:

= 1.737 × 108^8

(scientific notation)

= 173700000

(real number)

Hope this helps. (:

3 0

4 years ago

Read 2 more answers

What is the product of -3/8 + -4/12 simplfy your answer

Snezhnost [94]

Answer:

$-\frac{17}{24}$

Step-by-step explanation:

First we need to find the common denominator of 8 and 12, which is 24.

Next we rewrite our fractions:

$-\frac{9}{24} - \frac{8}{24} = -\frac{17}{24}$

This cannot be reduced.

4 0

4 years ago

Suppose approximately 75% of all marketing personnel are extroverts, whereas about 70% of all computer programmers are introvert

Setler [38]

Answer:

$P(x \ge 5) = 1.000$ ---- At least 5 from marketing departments are extroverts

$P(x=15) = 0.013$ ---- All from marketing departments are extroverts

$P(x = 0) = 0.002$ ---------- None from computer programmers are introverts

Step-by-step explanation:

See comment for complete question

The question is an illustration of binomial probability where

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$(a):\ P(x \ge 5)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

Using the complement rule, we have:

$P(x \ge 5) = 1 - P(x < 5)$

So, we have:

$P(x < 5) =P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)$

$P(x = 0) = ^{15}C_{0} * (75\%)^0 * (1 - 75\%)^{15 - 0} = 1 * 1 * (0.25)^{15} = 9.31 * 10^{-10}$

$P(x = 1) = ^{15}C_{1} * (75\%)^1 * (1 - 75\%)^{15 - 1} = 15* (0.75)^1 * (0.25)^{14} = 4.19 * 10^{-8}$

$P(x = 2) = ^{15}C_{2} * (75\%)^2 * (1 - 75\%)^{15 - 2} = 105* (0.75)^2 * (0.25)^{13} = 8.80 * 10^{-7}$

$P(x = 3) = ^{15}C_{3} * (75\%)^3 * (1 - 75\%)^{15 - 3} = 455* (0.75)^2 * (0.25)^{12} = 0.0000153$

$P(x = 4) = ^{15}C_{4} * (75\%)^4 * (1 - 75\%)^{15 - 4} = 1365 * (0.75)^4 * (0.25)^{11} = 0.000103$

So, we have:

$P(x < 5) = (9.31 * 10^{-10}) + (4.19 * 10^{-8}) + (8.80 * 10^{-7}) + 0.0000153 + 0.000103$

$P(x < 5) = 0.00011922283$

Recall that:

$P(x \ge 5) = 1 - P(x < 5)$

$P(x \ge 5) = 1 - 0.00011922283$

$P(x \ge 5) = 0.9998$

$P(x \ge 5) = 1.000$ --- approximated

$(b)\ P(x = 15)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x=15) = ^{15}C_{15} * 0.75^{15} * (1 - 0.75)^{15-15}$

$P(x=15) = 1 * 0.75^{15} * (0.25)^{0$

$P(x=15) = 0.013$

$(c)\ P(x = 0)$

$n=5$ ---------- computer programmers

$p = 70\%$ --- proportion that are introverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x = 0) = ^{5}C_0 * (70\%)^0 * (1 - 70\%)^{5-0}$

$P(x = 0) = 1 * 1 * (0.30)^5$

$P(x = 0) = 0.002$

3 0

3 years ago

Help with math plz! Giving brainlist

Semmy [17]

= x^5 y^7z^2 ∜z^2

x/y √ 5/2

= y - 7√2y + √2y -14

= y - 6√2y – 14

= (x^4)^-1/4

3 0

3 years ago

ANSWEEER FAST PLEASE PLEASEEE

IrinaVladis [17]

Answer:

Step-by-step explanation:

A Slope of 5/2 means you have to go up 5 and over 2 every time a point is on the line.

7 0

3 years ago