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iragen [17]
3 years ago
12

Simplify. -6+[4-(x-2)]

Mathematics
2 answers:
jasenka [17]3 years ago
8 0

Answer:

-x

Step-by-step explanation:

-6+[4-(x-2)]

Distribute the minus sign

-6+[4-x+2]

Combine like terms

-6+4 +2 -x

-x +0

-x

ale4655 [162]3 years ago
6 0
-6+(6-x)
-6+6-x
-x

Answer : -x
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The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systo
PIT_PIT [208]

Answer:

The  estimate is

             52.02  <  \mu  < 55.78

Step-by-step explanation:

From the question we are told that

    The sample mean is \ = x  =  53.9

     The sample size is  n =  24

      The standard deviation is  \sigma =  5.6

 

Given that the confidence level is  90% the level of significance is mathematically represented as

           \alpha  =  100 - 90

            \alpha  =  10 \%

            \alpha  =  0.10

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

           Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} } =  1.645

The reason we are obtaining critical value of    \frac{\alpha }{2} instead of    \alpha is because    \alpha

represents the area under the normal curve where the confidence level interval (  1 - \alpha ) did not cover which include both the left and right tail while  

\frac{\alpha }{2} is just the area of one tail which what we required to calculate the margin of error

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

Generally the margin of error is mathematically represented as

          E  =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{ \sqrt{n} }

substituting values

         E  =  1.645  *  \frac{5.6 }{ \sqrt{24} }

          E  =  1.880

The  estimate of how much the drug will lower a typical patient's systolic blood pressure(using a 90% confidence level) is mathematically represented as

         \= x  -  E  <  \mu  <  \= x  +  E

substituting values

         53.9  -  1.880  <  \mu  <  53.9  +  1.880

         52.02  <  \mu  < 55.78

5 0
3 years ago
Which of the following functions best fits the data shown in the scatterplot below? y=100x+2y is equal to 100 x plus 2 y=20x2+10
KengaRu [80]

The equation of the scatter plot is (a) y = 100x + 2

<h3>How to determine the equation of the scatterplot?</h3>

The line of best fit of the scatter plot passes through the points

(x,y) = (0,2) and (1,102)

Start by calculating the slope using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

m = \frac{102 - 2}{1 - 0}

m = 100

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 100(x -0) + 2

Evaluate

y = 100x + 2

Hence, the equation of the scatter plot is (a) y = 100x + 2

Read more about scatter plot at:

brainly.com/question/6592115

#SPJ1

4 0
2 years ago
Billy ate 1/3 of a bag of sunflower seeds each day for 5days.How many bags of sunflower seeds did he eat ?
Semenov [28]
1 and 2/3 bags of sunflower seeds.
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3 years ago
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1. Roots, y-intercepts, and zeroes all have the same meaning?<br> A. True<br> B. False
Nadusha1986 [10]

Answer:

A

Step-by-step explanation:

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3 years ago
Which number, when placed in the box, will make the equation true?<br> _^2 =square root of 64
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The answer is 8✊✊✊✊✊✊✊✊✊
4 0
3 years ago
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