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Lesechka [4]
2 years ago
5

Last year, during an investigation of the time spent reading e-mails on a daily basis, researchers found that on Monday the aver

age time was 50 minutes. Office workers claim that with the increased spam and junk mail, this time has now increased. To conduct a test, a sample of 25 employees is selected with the following results: sample mean
Mathematics
1 answer:
8090 [49]2 years ago
5 0

The sample mean value is 0.26.

According to the statement we have given that the

Monday the average time was 50 minutes and we have to find the sample mean.

So, the values become

H(not):μ≤50

H(a):μ>50

Right Tail

The significance level, of the given number of employees then

α=0.05

And The value of sample mean, is

Z=x - u/i*(n)^1/2

then the value becomes

Z = 5.6 - 5/1.2*(25)^1/2.

then after calculating

Z= 1.6/1.2*5

Z= 0.26 And

Here The value of sample mean is 0.26.

So, The sample mean value is 0.26.

Learn more about Sample mean here brainly.com/question/12892403

#SPJ4

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Suppose that you randomly draw one card from a standard deck of 52 cards. after writing down which card was drawn, you place the
cestrela7 [59]
5:15 because you aren't drawing all of the 52 cards so your proportion would be the probability of drawing at least 5 spade and the 15 cards drawn in all
4 0
3 years ago
A 2 level 5 factor experiment is being conducted to optimize the reliability of an electronic control module. In a full factoria
allsm [11]

Answer:

32

Step-by-step explanation:

In a full factorial experiment, there are usually 32 or 2⁵ treatments. This implies that there are usually  2 levels and 5 factors. From the description below, there is a list of the 32 treatments.

Factor A      Factor B      Factor C      Factor B      Factor E

lo                   hi                 hi                 hi                hi

hi                   low              hi                 hi                hi

hi                   hi                low               hi                hi

hi                   hi                 hi                 low             hi

hi                   hi                 hi                 hi               low

lo                   lo                 hi                 hi               hi

lo                   hi                 lo                 hi               hi

lo                   hi                 hi                 lo              hi

3 0
3 years ago
A cone is inverted and filled with water to of its height. What percent of the cone's volume is filled with water
wlad13 [49]

The 75% of the cone's volume is filled with water.

According to the statement

we have to find that the What percent of the cone's volume is filled with water.

So, For this purpose, we know that the

Cone is the surface traced by a moving straight line that always passes through a fixed point (the vertex).

So, Form given information

Let's call the height of the cone  " h " and the area of its base  " a ".

volume of cone  =  (1/3)(a)(h)

The water will also be in the shape of a cone, with a height that is 3/4 that of the container.

volume of water  =  (1/3)(a)(3/4 * h)

volume of water  =  (3/4) * (1/3)(a)(h)

volume of water  =  (3/4) * volume of cone

volume of water  =  75% of the volume of cone

So, 75% of the cone's volume is filled with water.

Learn more about cone's volume here

brainly.com/question/1082469

Disclaimer: This question was incomplete. Please find the full content below.

Question:

A cone is inverted and filled with water to 3/4 of its height. What percent of the cone's volume is filled with water?

#SPJ4

8 0
1 year ago
And algebra teacher drove by a farm yard full of chickens and pigs. The teacher happened to notice there were total of 70 heads
Oksanka [162]

To solve this problem, we are going to use a system of equations.  Let the variable c represent the number of chickens in the farm yard and the variable p represent the number of pigs in the farm yard.  If there is a total of 70 heads, this means that the total number of animals (chickens plus pigs) must be 70.  This can be represent by the equation: c + p = 70.  We are also told that there are 200 legs.  Using our knowledge that chickens have 2 legs and pigs have 4 legs, we can construct the following equation: 2c + 4p = 200.  Our system of equations is as follows:

c + p = 70

2c + 4p = 200

To solve, we are going to subtract c from both sides of the first equation so that we can get the variable p alone.  Then, using this value for p in terms of c, we are going to substitute into the second equation.  This method is shown below:

c + p = 70

p = 70 - c

2c + 4p = 200

2c + 4(70-c) = 200

To solve this equation, we are first going to distribute the coefficient of 4 through the parentheses on the left side of the equation to simplify.

2c + 280 - 4c = 200

Next, we are going to combine like terms on the left side of the equation.  This means adding together the two terms that both have a variable c.

-2c + 280 = 200

Next, we are going to subtract 280 from both sides of the equation so that we can move all of the constant (number only) terms to the right side of the equation.

-2c = -80

Finally, we are going to divide both sides of the equation by -2 to get the variable c alone.

c = 40

We should now substitute this value for c back into one of our original equations to solve for p.

c + p = 70

40 + p = 70

To solve, simply subtract 40 from both sides of the equation to get the variable p alone.

p = 30

Therefore, your answer is that there were 40 chickens and 30 pigs.

Hope this helps!

7 0
3 years ago
denise bought 5.2 pounds of rice for $5.29. using the unit rate, how much would 2 pounds of rice cost?
Vinil7 [7]
5.29/5.2=x/2
times both sides by (5.2)(2)
(2)(5.29)=5.2x
10.58=5.2x
divide both sides by 5.2
2.034=x
answer is $2.03 for 2lb rice
6 0
3 years ago
Read 2 more answers
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