An important problem in industry is shipment damage. A electronics distribution company ships its product by truck and determines that it cannot meet its profit expectations if, on average, the number of damaged items per truckload is greater than 12. A random sample of 12 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.64. Select a 99% confidence interval for the true mean of damaged items.
a) [48.26, -30.02]
b) [10.67, 11.93]
c) [-0.6285, 0.6285]
d) [10.69, 11.91]
e) [11.37, 12.63]
f) none of the above

Answer:

(-1, -4) is a solution

Step-by-step explanation:

3x + 3y ≤ -6

plug in point (-1, -4)

3(-1) + 3(-4) ≤ -6

-3 + -12 ≤ -6

-15 ≤ -6    true

 (-1, -4) is a solution

Answer:

500,369

Step-by-step explanation:

formula

400000(1.0325)ⁿ

400,000(1.0325)⁷

500,369

Step-by-step explanation:

Answer:

228 quarters in $57

2 quarters in 57 cents

Step-by-step explanation:

The product of the complex number z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°) is z₁z₂ = 14(cos(125) + isin(125)]

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°)

z₁z₂ = (7 * 2)[cos(15 + 110) + isin(15 + 110)]

z₁z₂ = 14(cos(125) + isin(125)]

The product of the complex number z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°) is z₁z₂ = 14(cos(125) + isin(125)]

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Answer:

Ashley is 7 years old.

and its step by step

Answer:

the answer will be 7.50

Step-by-step explanation:

Answer:

A. x is less than or equal to 1 OR x is greater than or more than 2

Answer:

B) 59 cm²

Step-by-step explanation:

4x8=32

2x3=6

3x7=21

32+6+21=59 cm²

Answer:

15.79

Step-by-step explanation:

Answer:

1/20

Step-by-step explanation:

lcf: 20

1/4- 1/5

1x5/20- 1x4/20

   =5-4/20

  =1/20

Answer:

[tex] \int \: e {}^{x {}^{2} } dx \\ y = {e}^{ {x}^{2} } \\ ln(y) = {x}^{2} \\ \frac{dy}{y} = 2xdx \\ dy/2x = {e}^{ {x}^{2} } dx \\ \int \: d( {e}^{ {x}^{2} } ) = \int {e}^{ {x}^{2} } .2xdx \\ \frac{{e}^{ {x}^{2} } }{2x} = \int \: {e}^{ {x}^{2} } dx \\ \int \: {e}^{ {x}^{2} } dx \: = \frac{1}{2x} {e}^{ {x}^{2} } + c[/tex]

Answer:

|z(s)| <  |z(c)|

Then  z(s) is in the acceptance region we accept H₀.

We don´t have evidence to support that candy bar mean weight is below 56 gm

Step-by-step explanation:

Goal mean     μ  =  56 gm

standard deviation   σ  = 0,77

From random sample:

mean    x  = 55,82

sample size  n  = 49

We assume a normal distribution ( is a manufacturing controlled process)

a) Hypothesis Test:

Null Hypothesis                         H₀          x   =  μ

Alternative Hypothesis             Hₐ           x  <  μ

Alternative hypothesis is telling us that the test is a one-tail test to the left

as n > 30 we use the normal distribution.

b)  z(s) =  ( x  -  μ  ) / σ / √n

z(s)  =  55.82  -  56 ) * 7 / 0,77

z(s)  = 0,18*7/0,77

z(s)  =  - 1.6363

c)  if  significance level is α  = 0.05  then  α/2 = 0,025

Then from  z table, z  score for  0,025     z(c) = -1.96

d)  Comparing  z(c)  and z(s) modules

|z(s)| <  |z(c)|

Then  z(s) is in the acceptance region we accept H₀.

We don´t have evidence to support that candy bar mean weight is below 56 gm

Answer:

x = 3/2

Step-by-step explanation:

2^2x = 2^3

2x = 3

x = 3/2

Answer:

Dwane has 25 rare edition stamps, or 5/6.

Step-by-step explanation:

The question is basically answered in the problem.

It says, "25 of the stamps are a rare edition."

And the question is, "How many rare edition stamps does Dwane have?"

So, 25 is the answer.

Hope this helps!

Answer:

[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

The equation of the line is:

[tex]x + 5y = 50[/tex]

Placing in the standard format:

[tex]5y = -x + 50[/tex]

[tex]y = -\frac{x}{5} + 10[/tex]

The slope is [tex]-\frac{1}{5}[/tex]

Slope of the perpendicular lines:

[tex]-\frac{m}{5} = -1[/tex]

[tex]m = 5[/tex]

So

[tex]y = 5x + b[/tex]

Attributing two values to b:

[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Answer:

a= right b= obtuse c=acute d=right

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) Right Angle. A right angle is an angle whose measure is exactly 90°.

B) Obtuse Angle. An obtuse angle is an angle that lies between 90° and 180°

C) Acute Angle. An acute angle is an angle that lies between 0° and 90°

D) Right Angle. A right angle is an angle whose measure is exactly 90°.

Answer:

12 hours

Step-by-step explanation:

First it’s every 2 weeks so divide by 2 to find 1 week and get 16 hours a week then subtract 4 hours cause olivia works 4 more per week and u get 12 hours so Lily works 12 hours a week ;)

sorry if wrong have a good day/night

may i please have a branllest

Answer: D is correct

Step-by-step explanation:

Answer:

C.   x > 0 and x ≤ 3

Step-by-step explanation:

0 < x ≤ 3

when  0 < x then x > 0

Example: 0 < 2 then 2> 0

Therefor

x > 0 and x ≤ 3

Step-by-step explanation:

V = Bh applies for :

1. the volume of prism

2. the volume of cylinder

V = Bh doesnt apply for :

1. the volume of pyramid

2. the volume of cone

The two solids where the formula V = bh applied is are prism volume, and cylinder volume. And, where the formula V = Bh does not apply is pyramid volume and cone volume

(1) Applied of formula V = Bh is :

(1) Not Applied of formula V = Bh is :

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Answer:

The correct answer is D.

Step-by-step explanation:

Taxable income is the income that is reached by taxes established by the government, that is, those sums of money from individuals that the government levies with a tax contribution. The so-called deductions are deducted from these sums, with which the apportionment between taxable income and deductions results in the final amount of taxes to be paid.

Answer:

Volume is length x width x height. So it depends on the labeled sides. Maybe define what is length and width and height OR multiply all is your instructions call for it.

Step-by-step explanation:

Answer: 15000 meters

Step-by-step explanation:

Answer:

15000 meters

Step-by-step explanation:

1000 meters per kilometer

Answer:

23.63% chance that exactly three is elderly

Step-by-step explanation:

The people are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

101 total people means that [tex]N = 101[/tex]

Sample of 6 means that [tex]n = 6[/tex]

66 elderly means that [tex]k = 66[/tex]

If you talked to six random people there, what is the percent chance that exactly three is elderly?

This is P(X = 3). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,101,6,66) = \frac{C_{66,3}*C_{35,3}}{C_{101,6}} = 0.2363[/tex]

0.2363*100% = 23.63%

23.63% chance that exactly three is elderly

Answer: b and c because of the asasability numeral

Answer:

Step-by-step explanation:

17 students chose summer, 7 boys

Girls that chose summer= 17-7=10

Twice Girls chose summer over spring= 10÷2 =5

5 Girls chose spring, 4 Girls enjoy winter