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3 years ago

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Mathematics

1 answer:

Ganezh [65]3 years ago

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A 90% confidence interval for u using the sample results X = 131.2, s=55 , and n= 50 Round your answer for the point estimate to

Ilya [14]

Answer:

131.2 ;

12.8 ;

(118.4, 144)

Step-by-step explanation:

Given :

X = 131.2, s=55 , and n= 50

Point estimate of the mean :

Since, sample size is large (n > 30) ; the sample mean = population mean according to the center limit theorem :

Margin of Error = Zcritical * s / sqrt(n)

Zcritical at 90% = 1.645

Margin of Error : 1.645 * (55 / sqrt(50))

Margin of Error : 1.645 * 7.7781745

Margin of Error = 12.795097

Margin of Error = 12.8

The confidence interval (C.I) :

C.I = x ± margin of error

C. I = 131.2 ± 12.8

(131.2 - 12.8) ; (131.2 + 12.8)

(118.4, 144)

8 0

3 years ago

Find the slope of the line.

Archy [21]

Answer:

$\displaystyle m=0.8$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, 1.2)

Point (10, 6)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

Substitute [SF]: $\displaystyle m=\frac{6-1.2}{10-4}$
Subtract: $\displaystyle m=\frac{4.8}{6}$
Divide: $\displaystyle m=0.8$

7 0

3 years ago

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What is the 83rd term of the arithmetic sequence with this explicit formula?

Rufina [12.5K]

Answer:

Step-by-step explanation:

a83 = 12 + (83 - 1)(-3) = 12 + (82)(-3) = -234

3 0

4 years ago

A grocery store sells a bag of 5 lemons for $3.00. What is the unit cost of each lemon in the bag?

Lelechka [254]

Answer:

the unit cost of each lemon is $0.60

Step-by-step explanation:

divide 3.00 by 5 to get 0.6

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3 years ago

Line segment XY has endpoints X(–10, –1) and Y(5, 15). To find the y-coordinate of the point that divides the directed line segm

Over [174]

Answer:

The y co-ordinate is 9

Step-by-step explanation:

We simplify the expression given by the formula;

$\frac{5}{8}*16-1=9$

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3 years ago

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