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Cerrena [4.2K]
2 years ago
5

If you know that a < b, and both a and b are positive numbers, then what must be true about the relationship between the oppo

sites of these numbers? Explain.
Mathematics
2 answers:
nlexa [21]2 years ago
8 0
What ever number A is, it is going to be less than whatever number B is.
Nesterboy [21]2 years ago
4 0
If a<span> is less than </span>b<span>, and they are both positive, then </span>a<span> is closer to 0 than </span>b<span>. The opposite of </span>a<span> is also closer to zero than the opposite of </span>b<span>, so the opposite of a must be larger than the opposite of </span>b. T<span>he number further left on a number line is the smaller number, for positive numbers, the number closest to zero is smaller.</span>
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Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of th
mina [271]
Well we set the perimeter to 120 feet.
This means that 2x+2y=120
Now we know the area of a rectangle is xy so we have to solve for both x and y in the perimeter equation.

2x=120-2y
x=60-y

2y=120-2x
y=60-x

Now we plug these values into our area equation A=xy to get:
A=(60-y)(60-x)
7 0
2 years ago
Read 2 more answers
silvia compro la misma licuadora que daniela, que costaba $355.5, pero como abonó con tarjeta de credito, le recargaron un 16%,
Debora [2.8K]

Answer:

Costo final= $412.38

Step-by-step explanation:

Dada la siguiente información:

Costo inicial= $355.5

Recargo de la tarjeta= 16% = 0.16

<u>Para calcular el costo final que debe pagar Silvia, debemos usar la siguiente información:</u>

Costo final= costo inicial*(1 + recargo)

Costo final= 355.5*1.16

Costo final= $412.38

4 0
1 year ago
Determine the probability of randomly selecting two individuals who are issued exactly two credit cards.​ [Hint: Are the events​
pishuonlain [190]

Answer:

They are dependent because we have to select from people who are given cards.

Step By Step Explanation:

So we'll take away people not given cards first den find the probability of selecting people with cards over the total number of people present .

Probability we'll be equal to = number of people with card(C) two persons/total number of people

Where C represent combination

5 0
2 years ago
An airliner carries 150 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of
iogann1982 [59]

Answer:

Step-by-step explanation:

x, height of men is N(69, 2.8)

Sample size n =150

Hence sample std dev = \frac{2.8}{\sqrt{150} } =0.229

Hence Z score = \frac{x-69}{0.229}

A) Prob that a random man from 150  can fit without bending

= P(X<78) = P(Z<3.214)=1.0000

B) n =75

Sample std dev = \frac{2.8}{\sqrt{75} } =0.3233

P(X bar <72) = P(Z<9.28) = 1.00

C) Prob of B is more relevent because average male passengers  would be more relevant than a single person

(D) The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.

3 0
2 years ago
​(c) if the corresponding terms of two arithmetic sequences are​ added, is the resulting sequence​ arithmetic?
Harman [31]

To determine whether the corresponding terms of 2 arithmetic sequence's added will give new arithmetic sequence or not, Let' take 2 Arithmetic sequences.

In one first term is a1 and common difference is d1, in the other first term is a2 and common difference is d2.

Now nth term for first sequence = a1+(n-1) d1

  nth term for second sequence = a2+(n-1) d2

Now add the 2 terms: a1+(n-1)d1 +a2 +(n-1)d2

                                   = a1+a2 + (n-1)(d1+d2)

This is again new arithmetic sequence with first term a1+a2 and common difference d1+d2.

Hence if we add corresponding terms of 2 arithmetic sequence, we will again get an arithmetic sequence.

5 0
2 years ago
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