The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be more than 59 pounds _________.
a) 0.1003
b) 0.3997
c) 0.6003
d) 0.8997
e) 0.0003

Answer:

-12≥x

Step-by-step explanation:

-10≥2x+14

-24≥2x

-12≥x

Answer:

ggg if fdrsyviinoiv fcvui I tzhvii u u y

The illustration below is a semi-regular tessellation is a false statement.

Tessellation is defined as the process of covering of a surface or a plane using the geometric shapes.

One geometric shape will not overlap with the other and there will not be any gaps in between.

There are regular tessellations as well as semi-regular tessellations.

Regular tessellations are the tessellations which are made using only a single type of the polygon to cover the entire surface.

Whereas in semi-regular tessellations, two or more regular polygons are used such that each vertex is the same to cover the surface.

Here, the illustration contains only one type of polygon which are tiled to each other with out any gaps.

It is actually regular tessellation.

Hence the statement that the illustration is semi-regular tessellation is incorrect.

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Answer:

B

Only one that goes over once and up twice

Answer:

b is the answer I believe

Answer:

129

Step-by-step explanation:

the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129

Answer: I believe it's 13 > 5x or 5x+13. . But I'm not completely sure.

Answer:

the standard deviation of the critical path is 8

Step-by-step explanation:

The computation of the standard deviation of the critical path is shown below:

As we know that

Variance = Standard deviation^2

Now the variance of the critical path is

= Variance 1 + variance 2 + variance 3 + variance 4

= 4^2 + 4^2 + 4^2 + 4^2

= 64

Now the standard deviation would be

= √64

= 8

hence, the standard deviation of the critical path is 8

Step-by-step explanation:

175÷50=3.5

3.5×1/4=0.875

Answer:

0.002 , 0.05 , 0.40 , 0.80 , 1.02 , 2 , 4 , 11 , 13 , 15 , 16 , 357

Step-by-step explanation:

11 , 357 , 2 , 1.02 , 13 , .80 , 4, .002 , 15 , .05 , 16 , .40

Answer:

8x - 4y + 12

Step-by-step explanation:

-2(-4x + 2y - 6)

(-2)(-4x) + (-2)(2y) + (-2)(-6)

(2 * 4x) - (2 * 2y) + (2 * 6)

8x - 4y + 12

Answer:

1.5/9 =  1 1/2 / 9 = 3/2 /9 = 3/18 = 1/6

Step-by-step explanation:

The fraction that is equivalent to 1.5 / 9 is expressed as:

3/18.

Equivalent fractions are different fractions that represent the same value or proportion, although they may have different numerators and denominators.

To find an equivalent fraction for 1.5/9, divide both the numerator and denominator by their greatest common divisor (GCD), which in this case is 0.5.

Dividing 1.5 by 0.5 and 9 by 0.5, we will have the following:

(1.5 ÷ 0.5) / (9 ÷ 0.5) = 3/18

Hence, the equivalent fraction for 1.5/9 is 3/18.

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Answer:

P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%

Step-by-step explanation:

Mean = 63

Standard Deviation =6

We need to find probability that X lies between 45 and 81 i.e P(45<X<81)

First we will find z-score for X=45 and X=81

For X=45 the z-score can be found using formula:  [tex]z-score=\frac{X-\mu}{\sigma}[/tex]

Putting values and finding z-score

[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{45-63}{6}\\z-score=-3[/tex]

For X=45, z-score is -3

For X=81 the z-score can be found using formula:  [tex]z-score=\frac{X-\mu}{\sigma}[/tex]

Putting values and finding z-score

[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{81-63}{6}\\z-score=3[/tex]

For X=81, z-score is 3

Now finding the probability of P(-3<z<3)

It can be solved as:

P(-3<z<3)=P(z<3)-P(z<-3)

Looking at the z-score table to find

P(z<3)= 0.9987

P(z<-3)=0.0013

So, P(-3<z<3)=P(z<3)-P(z<-3)

P(-3<z<3)=0.9987 - 0.0013

P(-3<z<3)=0.9974

or P(-3<z<3)= 99.74%

So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%

Answer:

He will save $300

Hope this helps

Answer: C. (5)

Step-by-step explanation:

Answer:

Pretty sure it's C!

I also hope you don't fail

Step-by-step explanation:

Answer:

Diameter: 10 Yards

Step-by-step explanation:

d = 2r

d = 2 ( 5 )

d = 10

Answer:

Sorry to say but I don't see any material.

Step-by-step explanation:

Answer:

647$ USD

Step-by-step explanation:

You add 4% of each sale to eachother and to the 375. goodluck!

Answer:

7171

Step-by-step explanation:

i added it all up and thats what i got hope this helps and if right can i have brainlyest.

Answer: yes they are equivalent

Step-by-step explanation: When you distribute both equations, you end up with 5m-10.

Answer:

C. -3

Step-by-step explanation:

First, find the slope of side QR. Calculate the slope by finding the ratio of the difference between the y-coordinates and the difference between the x-coordinates of points Q and R.

The slope of side QR can be found as shown below.

Now, using the slope of side QR, draw a triangle RST similar to the right triangle PQR with S(x, 7) as one vertex.

Next, find the value of x as shown below.

Therefore, the value of x in the point (x, 7) is -3.

9514 1404 393

Answer:

  1 scoop

Explanation:

There are 16 tablespoons in 1 cup, so Xander uses (1/8)·(16 tbsp) = 2 tbsp of topping for each scoop of ice cream.

For 1 scoop of ice cream, Pedro will use 1+1 = 2 tbsp of topping.

Hence, both use the same amount of topping (2 tbsp) for 1 scoop of ice cream.

Answer:

3.2

Step-by-step explanation:

The answer is 3

Explanation: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction. 3

Answer:

its 3

Step-by-step explanation:

Answer:

The expected completion time of the project is:

10 days.

Step-by-step explanation:

Duration of Task A = 5 days

Task B and C depend on Task A

This implies that Task A must be completed before Task B and C can be started.

To complete Task B will take 5 days

To complete Task C will take 5 days (7 * 0.5) + (3 * 0.5)

Since Task A takes 5 days and Tasks B and C depend on Task A and Task B takes 5 days and Task C takes expected time of 5 days, it means that the project can be completed in 10 days (5 + 5) if tasks B and C are simultaneously carried out.

The expected completion time of the project is

(i)10 days if B&C are mutually independent

(ii)15 days if B &C are mutually dependent

Expected completion time of a task= p1x1 + p2x2

Where

p1 & p2 are probabilities.

x1 and x2 are samples.

p1=p2=0.5

x1=7

x2=3

Expected completion time of task C= 0.5*7+0.5*3 = 5 days

Task B and C will be due till task A is not accomplished.

Total time to accomplish task A = 5 days

Total time  to accomplish task B= 5 days

Expected time to accomplish task C = 5 days

If tasks B and C are mutually independent

expected time to complete the project = 5+5=10days

If task C depends on task B

Expected time to complete the project = 5+5+5 = 15 days.

Therefore

The expected completion time of the project is

(i)10 days if B&C are mutually independent

(ii)15 days if B and C are mutually dependent

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