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Sergeeva-Olga [200]

2 years ago

11

The product of -6 and a number is at least -72.

1 answer:

sesenic [268]2 years ago

6 0

-6x>= -72. {x| 12>=x}

-72 (less than or equal to sign) -6x (product means multiply right?) all solutions is the value 12 and any value less

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Noah thinks the answers to these two questions will be the same. This year, a herd of bison had a 10% increase in population. If

Shalnov [3]

The answer to these two questions are not the same. We don't agree with Noah.

Reason:

Let's start with the first question.

1. Given: rate = 10% increase, base/original number = 550 bison

10% of 550 is:

$.10\times550bison=55bison$

10% of 550 is 55. Hence, there is an increase of 55 bison this year. This year, there are 550 + 55 = 605 bison in the herd.

2. Given: rate = 10% decrease, percentage/final number = 550 bison

Applying the concept of Percentage = Base x Rate, we can get the Base or the original number of bison before the decrease by dividing Percentage over Rate.

$\text{Base}=\frac{\text{Percentage}}{\text{Rate}}$

Filling in the formula with the given values in question 2, we have:

$\text{Base}=\frac{550}{1-.10}=\frac{550}{.90}=611.11\approx611bison$

Last year, there were 611 bison.

As we can see, the answer for number 1 is 605 bison while the answer for the number 2 is 611 bison. The answer of the two questions are not the same.

4 0

5 months ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20%20%20%5Cdiv%202%20%2B%202%20%5Cdiv%20%20%5Csqrt%7B2%20%7D%20" id="TexForm

NeX [460]

Answer:

$\frac{3\sqrt{2} }{2}$

Step-by-step explanation:

Given

$\frac{\sqrt{2} }{2}$ + $\frac{2}{\sqrt{2} }$ ← rationalise the denominator by multiplying by $\frac{\sqrt{2} }{\sqrt{2} }$

= $\frac{\sqrt{2} }{2}$ + ( $\frac{2}{\sqrt{2} }$ × $\frac{\sqrt{2} }{\sqrt{2} }$ )

= $\frac{\sqrt{2} }{2}$ + $\frac{2\sqrt{2} }{2}$

= $\frac{3\sqrt{2} }{2}$

5 0

2 years ago

How do I solve this equation

netineya [11]

This should be correct I am sorry if it is not.
<span>-0.01511422733</span>

8 0

2 years ago

Read 2 more answers

An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed

masya89 [10]

Answer:

$P(X\leq 1) = 0.331$

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

$P(X = x) = \frac{y^xe^{-y}}{x!}$

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

$P(X\leq 1) = P(X=0) + P(X =1)$

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

$P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}$

$P(X = 0) = \frac{1 * e^{-2.3}}{1}$

$P(X = 0) = e^{-2.3}$

$P(X = 0) = 0.10025884372$

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

$P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}$

$P(X = 1) = \frac{2.3 * e^{-2.3}}{1}$

$P(X = 1) =2.3 * e^{-2.3}$

$P(X = 1) = 2.3 * 0.10025884372$

$P(X = 1) = 0.23059534055$

$P(X\leq 1) = P(X=0) + P(X =1)$

$P(X\leq 1) = 0.10025884372 + 0.23059534055$

$P(X\leq 1) = 0.33085418427$

$P(X\leq 1) = 0.331$

Hence, the required probability is 0.331

6 0

2 years ago

Li rode her bike 25% of the way to school. She rode 5 blocks. How many blocks does Li live from school?

Alenkasestr [34]

Answer:

20 Blocks

Step-by-step explanation:

First you would realize that 5 blocks is only 1/4 of the way to school because 1/4 is 25%

Next you should know that you just need to add 5 four times.

Lastly you would multiply 4*5=20

So therefore she lives 20 blocks from her school

7 0

2 years ago

Read 2 more answers