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3 years ago

Should it be facing left or right ?

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

3 0

Answer:

Facing Right

Step-by-step explanation:

Given inequalities are:

4-x≤-1

Subtracting 4 from both sides

4-x-4≤-1-4

-x≤-5

Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality

So,

x≥5

Second Inequality:

2+3x≥17

Subtracting 2 from both sides

2+3x-2≥17-2

3x≥15

Dividing both sides by 3

x≥5

Union of both solutions:

x≥5 ∩ x≥5

=> x≥5

Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..

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Yasmine has 4 containers of 4 different colors of flowers to plant. She had 1/3 of each color left over when she was done planti

olga2289 [7]

Answer:

$2\frac{2}{3}$

Step-by-step explanation:

Given the information

4 containers of 4 different colors
1/3 of each color left over
She had planted more than 2 1/2 of the original 4 containers

=> Total color were left = 1/3 x 4 = 4/3 of the original containers

=> Total color were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers

However, 8/3 = $2\frac{2}{3}$ > 2 $\frac{1}{2}$

So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is: $2\frac{2}{3}$

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2 years ago

A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa

Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion

p(private) be the proportion of alumni of the private university who attended at least one class reunion

Hypotheses are:

$H_{0}$ : p(public) = p(private)

$H_{a}$ : p(public) ≠ p(private)

The formula for the test statistic is given as:

z= $\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample proportion of public university students who attended at least one class reunion ( $\frac{808}{1311}=0.616$ )

p2 is the sample proportion of private university students who attended at least one class reunion ( $\frac{647}{1038}=0.623$ )

p is the pool proportion of p1 and p2 ( $\frac{808+647}{1311+1038}=0.619$ )

n1 is the sample size of the alumni from public university (1311)

n2 is the sample size of the students from private university (1038)

Then z= $\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}}$ =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.

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3 years ago

Solve 36x^2-22x=14x-9

frutty [35]

x=1/2

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no one comes on here to learn how to do it, we come on here to get answers

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3 years ago

The angle of elevation to the top of a 30 story skyscraper is measured to be 3 degrees from a point on the ground 2,000 feet fro

Leto [7]

You have an angle of elevation of 3 degrees and you're 2000 ft from base of 30 story building.
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3 years ago

What number represents 125638 rounded to the nearest hundred

Evgen [1.6K]

The number is 127000...

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3 years ago

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