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Bas_tet [7]
2 years ago
10

when you divide both sides of any inequality by a negative number, you need to ___ the inequality symbol

Mathematics
1 answer:
Tasya [4]2 years ago
4 0

Answer:

when you divide both sides of any inequality by a negative number, you need to greater than the inequality symbol

Step-by-step explanation:

have a great day ahead :)

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A manufacturing company produces engines for light aircraft . The graph shows the number of engine produced each year since the
photoshop1234 [79]

Answer:

y=13x+32

149 engines in 9th year

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph

  • (x1, y1) = (2,60)
  • (x2, y2) = (5,99)

The standard form of a linear equation is:

y = mx + b where:

  • m is the slope
  • b is the y-intercept

We know the slope of the function can be found as following:

m = \frac{y2 - y1}{x2 - x1}  so in this situation we have:

<=> m=\frac{99-60}{5-2}=\frac{39}{3}=13

=> y = 13x + b (1)

Because the line goes through point  (2,60) so we substitute it into (1):

60 = 13*2 + b

<=> b = 60 - 26 = 34

=> y = 13x + 34

Now we will substitute x=9 to find the engines produced by company in 9th year as:

y=13(9)+32\\y=117+32=149

Hence, the company will produce 149 engines in 9th year

6 0
3 years ago
Craig’s June water bill listed two meter reading. The previous reading was 6,372 ccf and the present reading is 6501 CFC. How mu
romanna [79]

Answer: Craig's household use of water during the billing period = 129 CFC

Explanation:

Since we have given that

Craig's June water meter's previous reading =6372 CFC

Craig's water meter's present reading =6501 CFC

Craig's household use during the billing period =6501 -6372= 129 CFC

So, we get that

Craig's household use of water during the billing period = 129 CFC


8 0
3 years ago
Carl wants to find the product 30×56.
ozzi

Answer:

Your answer will be D. He knows that 30 × 16 is 5 then multiples 5 by 5 to get 25.

4 0
3 years ago
Evaluate t-u/v, when t=-1,u=-3 and v=1/2
mars1129 [50]

Answer:

5

Step-by-step explanation:

t-u/v

substitute (-1) - (-3)/(1/2)

divide     (-1) - (-6)

simplify   (-1) + 6

add         5

3 0
3 years ago
Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call
Natali5045456 [20]

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is M = n\mu and the standard deviation is s = \sigma\sqrt{n}

Calls to a customer service center last on average 2.8 minutes.

This means that \mu = 2.8

75 calls each day.

This means that n = 75

What is the expected total amount of time in minutes the operator will spend on the calls each day

This is M, so:

M = n\mu = 75*2.8 = 210

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

6 0
3 years ago
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