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KiRa [710]
3 years ago
10

Determine whether the statement is true or false. -3 ≥ -15

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

let's recall that, on the number line, for the positive side, the farther from zero, the larger the number, thus 100 is a much larger number than 10.

now, on the negative side of the number line, the farther from zero, the smaller the number, thus -1 is much much larger number than -1,000,000,000.

is -3 ≥ -15, is -3 larger or equals to -15, well, certainly is not equal but is certainly larger, yes.

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this year,15 of the 40 computers in the math lab are not new. which representation is equivalent to the fraction of computers th
just olya [345]

Answer:

5/8

Step-by-step explanation:

Subtract the total computers from the old computers.

40-15=25

Then put the number of new computers over the total computers

25/40

Then, simplify

5/8

3 0
3 years ago
What is the inverse of (x^2 4)
bazaltina [42]

The inverse function of the given function y = x² + 4 will be y = √(x - 4).

<h3>What is the inverse function?</h3>

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by swapping x with y and y with x.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The function is given below.

y = x² + 4

The inverse function of the function y = x² + 4 is given as,

Replace x with y and y with x, then we have

x = y² + 4

Solve the equation for y, then the equation is rewritten as,

x = y² + 4

y² = x - 4

y = √(x - 4)

The inverse function of the given function y = x² + 4 will be y = √(x - 4).

More about the inverse function is given below.

brainly.com/question/2541698

#SPJ12

5 0
1 year ago
A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)
Maksim231197 [3]

Answer:

a

  The 95% confidence interval is  0.0503  <   p < 0.1297

b

The sample proportion is  \r p =  0.09

c

The critical value is  Z_{\frac{\alpha }{2} } =  1.96

d

 The standard error is  SE   =0.020

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  200

     The number of defective is  k =  18

The null hypothesis is  H_o  :  p  =  0.08

The  alternative hypothesis is  H_a  :  p > 0.08

Generally the sample proportion is mathematically evaluated as

            \r p =  \frac{18}{200}

            \r p =  0.09

Given that the confidence level is  95% then the level  of significance is mathematically evaluated as

        \alpha  =  100 -  95

        \alpha  =  5\%

        \alpha  =  0.05

Next we obtain the critical value of  \frac{ \alpha }{2} from the normal distribution table, the value is  

        Z_{\frac{\alpha }{2} } =  1.96

Generally the standard of error is mathematically represented as

          SE   =  \sqrt{\frac{\r p (1 -  \r p)}{n} }

substituting values

         SE   =  \sqrt{\frac{0.09  (1 -  0.09)}{200} }

        SE   =0.020

The  margin of error is  

       E =  Z_{\frac{ \alpha }{2} }  * SE

=>    E =  1.96  *  0.020

=>   E =  0.0397

The  95% confidence interval is mathematically represented as

     \r p  -  E  <  \mu <  p <  \r p  + E

=>   0.09 - 0.0397  <  \mu <  p < 0.09 + 0.0397

=>  0.0503  <   p < 0.1297

7 0
3 years ago
Question 7 Daurie rides on her motorcycle for 252 miles on 6 gallons of gas. At this rate, how far will she get on 2 gallons of
SIZIF [17.4K]

Answer: 0.0476 miles

Step-by-step explanation:

Daurie rides on her motorcycle for 252 miles on 6 gallons of gas. We will determine the unit rate in gallons. It means the number of miles that her motorcycle on one gallon of gas

Distance travelled on one gallon of gas would be 6/252 = 0.0238 miles

At this rate of 0.0238 miles per one gallon of gas, the distance travelled on 2 gallons of gas would be

2 × 0.0238 = 0.0476 miles

6 0
3 years ago
Any help would be appreciated! <br> 7/9+ 8/9 as a mixed number
katovenus [111]

Answer:

15/9 :))

is your answerrr

7 0
3 years ago
Read 2 more answers
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