wild deer population weight has standard deviation of 50 lb. What is the probability of existence of a random sample (size 100) weight within + 5 lb. of population mean weight?

Answers

Answer 1

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Complete Question

Wild deer population weight has standard deviation of 50 lb. What is the probability of existence of a random sample (size 100) weight within ± 5 lb. of population mean weight?

Answer:

0.68269

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question:

Standard deviation = 50 lb.

Sample size = 100

The weight is within ± 5Ib

For +5 lb

Z =+ 5/50/ √100

Z = +5/50/10

Z = +5/5

Z = 1

Using the Z table to find the probability of the Z score.

P(Z = 1) = 0.84134

For - 5 lb

Z = - 5/50/ √100

Z = - 5/50/10

Z = - 5/5

Z = -1

Using the Z table to find the probability of the Z score.

P(Z = -1 ) = 0.15866

Hence,

P (-Z<x<Z)

P(Z = +1 ) - P(Z = -1)

0.84134 - 0.15866

= 0.68269

The probability of existence of a random sample (size 100) weight within ± 5 lb. of population mean weight is 0.68269


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Answer:

Step-by-step explanation:

1. yes

2. no - it's a quadratic equation

3. yes

Answer:

Tell whether the following equations represent a linear function.

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Answer:

f(2) = g(2)

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Step-by-step explanation:

We see from the graph that f(x) and g(x) intersect at x = 2. Therefore, the point at x = 2 would be equivalent in both graphs/be a solution to both equations.

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Answer:

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The top one.

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Answers

Answer:

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Step-by-step explanation:

The number of packages are 16 envelopes and 20 envelopes

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We find the Multiples of 16 and 20

Multiples of 16:

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Multiples of 20:

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Therefore,

LCM(16, 20) = 80

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

To find the slope of line one, you follow these steps:

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Then insert the assigned values into this equation:  [tex]\frac{y2-y1}{x2-x1}[/tex] -> [tex]\frac{9-5}{-8-10}[/tex] which equals [tex]\frac{4}{-18}[/tex] which simplifies to [tex]-\frac{2}{9}[/tex]

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Second Coord: 11 -> x2, -6 -> y2

Then insert the values into this equation: [tex]\frac{y2-y1}{x2-x1}[/tex]  ->[tex]\frac{11-2}{-6-(-4)}[/tex] which equals [tex]\frac{9}{-2}[/tex].

We know the lines are perpendicular by:

a. Typing the equations of the lines into a graphing calculator and observing the graph

b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.

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Answers

Answer:

$1,030

Step-by-step explanation:

Step 1- Multiply One way tickets by How much the tickets cost:

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Step 2- Multiply Round trip tickets by how much the tickets cost:

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Answers

Answer:

$3 for the small drinks and $4 for the large popcorn

Step-by-step explanation:

so we know that 2 popcorns and 4 small drinks give us $20 and 2 popcorns and 2 drinks gives us 14. so $6 was taken away because of two drinks and 6÷2 equals 3 therefore $3 is how much a small drink costs. after taking away another 6 from 14 because we found the costs of drinks we get $8 for two popcorns and 8÷2 is 4 so a large popcorn costs $4

Answer:

The large popcorn bucket cost $4 and the small drink cost $3.

Step-by-step explanation:

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Answers

Answer:

y=-x+5

Step-by-step explanation:

(4,1)

(8,-3)

1)a slope of a line is (y2-y1)/(x2-x1)

  so (-3-1)/(8-4)

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2)to find y-int replace any points in the equation by x and y

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Answers

Answer:

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Step-by-step explanation:

8.91 ÷ 5= 1.782

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

a) t₁ para el área a la derecha de 0,01  

En la tabla t- student  el t correspondiente a 0,01  es:

t₁ = 2,947

b) t₁ para el área a la izquierda sea de 0,95. Es igual al t para el cual el área de la drecha es  0,05

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c) t₁ para que el área de la derecha sea 0,10

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

y = -3x - 5

Step-by-step explanation:

The equation of a line is given as either:

[tex]y = mx + b[/tex]  where m is the slope, and b is the y-intercept.

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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