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Bogdan [553]
1 year ago
10

Write an algebraic expression The product of c and 3​

Mathematics
2 answers:
Tpy6a [65]1 year ago
5 0

Answer:

The answer is c3 or c x 3.

Step-by-step explanation:

Because the product in math is multiplication, the product of c and 3 would be c x 3.

Anastasy [175]1 year ago
4 0
Product in math means multiplication
c x 3 = 3c

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Answer:

E = {0, 1, 2, 3)

Step-by-step explanation:

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  • < means less than
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E = {0, 1, 2, 3)

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Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation:
Vikentia [17]

Answer:

a

   \= x  = 18.5  ,  \sigma =  5.15

b

 15.505 < \mu <  21.495

c

 14.93 < \mu <  22.069

Step-by-step explanation:

From the question we are are told that

    The  sample data is  21, 14, 13, 24, 17, 22, 25, 12

     The sample size is  n  = 8

Generally the ample mean is evaluated as

        \= x  =  \frac{\sum x  }{n}

        \= x  =  \frac{  21 + 14 + 13 + 24 + 17 + 22+ 25 + 12  }{8}

         \= x  = 18.5

Generally the standard deviation is mathematically evaluated as

         \sigma =  \sqrt{\frac{\sum (x- \=x )^2}{n}}

\sigma =  \sqrt{\frac{\sum ((21 - 18.5)^2 + (14-18.5)^2+ (13-18.5)^2+ (24-18.5)^2+ (17-18.5)^2+ (22-18.5)^2+ (25-18.5)^2+ (12 -18.5)^2 )}{8}}

\sigma =  5.15

considering part b

Given that the confidence level is  90% then the significance level is evaluated 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} }  =  1.645

The margin of error is mathematically represented as

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

=>    E =1.645  *  \frac{5.15 }{\sqrt{8} }

=>     E =  2.995

The 90% confidence interval is evaluated as

       \= x  -  E < \mu <  \= x +  E

substituting values

       18.5 -  2.995 < \mu <  18.5 +  2.995

       15.505 < \mu <  21.495

considering part c

Given that the confidence level is  95% then the significance level is 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

The margin of error is mathematically represented as

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

=>    E =1.96  *  \frac{5.15 }{\sqrt{8} }

=>     E = 3.569

The 95% confidence interval is evaluated as

       \= x  -  E < \mu <  \= x +  E

substituting values

       18.5 - 3.569 < \mu <  18.5 +  3.569

       14.93 < \mu <  22.069

8 0
3 years ago
Slope of the line (15,20),(-1,11)
masya89 [10]

Answer:

Slope, Angle, & Distance:

Slope: 0.5625

The slope of the line connecting (15, 20) and (-1, 11) is 0.5625

Slope (m): 0.5625

Angle (θ): 29.3578°

Distance: 18.3576

Δx: 16

Δy: 9

Slope Intercept Form:

(y = mx + b)

y = 0.5625x + 11.5625

Step-by-step explanation:

Steps to Find Slope

Start with the slope formula

m=

(y2 - y1)

(x2 - x1)

Substitute point values in the formula

m=

(11 - 20)

(-1 - 15)

Simplify each side of the equation

m=

(11 - 20)

(-1 - 15)

=

-9

-16

Solve for slope (m)

m=0.5625

<h2><em><u>Brainliest?</u></em></h2>
7 0
2 years ago
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