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Sav [38]
3 years ago
8

If the number of people is greater than the number of segments, each person will get less than one segment, true or false?

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
7 0

Answer:

True

Step-by-step explanation:

If the number of people is greater than the amount of segments, then there won't be enough segments for everyone, so it would have to be split up.

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You buy 3 pairs of pants at an original cost of $24.99 and the sale is buy 1 get the 2nd pair half off. The sales tax is 6%. How
Finger [1]

Answer:

  D.  $66.23

Step-by-step explanation:

The sale discounts your purchase by half the price of a pair of pants, so you pay for 2.5 pairs of pants. The sale price of the pants is then ...

  $24.99 × 2.5 = $62.48

The added tax multiplies this value by 1.06, so you pay ...

  1.06 × $62.48 = $66.23

_____

<em>Comment on the answer</em>

Whether you pay $66.23 or $66.22 depends on how the discount is calculated. If you get the benefit of the half-penny (the discount is rounded up), then the sale price is $62.47 and the total is $66.22.

4 0
3 years ago
New heat lamps are reported to have the mean lifespan of 100 hours with a standard deviation of 15 hours. Before replacing their
Tom [10]

Answer:

1

  The  correct option is  C

2

 The  correct option is C

3

The  correct option is A

4

The  correct option is B

Step-by-step explanation:

From the question we are told that

    The  population mean is  \mu =  100

     The  standard deviation is  \sigma  =  15

     The  sample size is  n  =  36

     The  sample mean is  \=  x =  105.1

Generally

    The  null hypothesis is  H_o:  \mu =  100 \  hours

     The  alternative hypothesis is  H_a  :  \mu  \ne  100\ hours

Given that the null hypothesis is  true then the  distribution of sample means  \mu_{\=  x }, from a sample size of 36 is  mathematically represented as

        \mu_{\= x } =  \mu

=>     \mu_{\= x } =  100

According to the Central Limit Theorem the test stated in the question is  approximately normally distributed if the sample size is sufficiently large(n  >  30 ) so given that the sample size is  large  n =  36

Then the test is normally distributed and hence the standard deviation is 15

Generally the standard error of mean is mathematically represented as

     \sigma_{\= x } =  \frac{ \sigma }{\sqrt{n} }

=>  \sigma_{\= x } =  \frac{15}{\sqrt{36} }

=>  \sigma_{\= x } = 2.5

Generally  the approximate probability of observing a sample mean of 105.1 or more is mathematically represented as

        P( \=  X   \ge 105.1 ) =1 -  P(\= X  <  105.1) = 1-  P(\frac{\= X -  \mu }{\sigma_{\= x }}

=>    P( \=  X   \ge 105.1 ) =1 -  P(\= X  <  105.1) = 1-  P(Z

From the z-table (reference calculator dot net )

             P(Z

So

  P( \=  X   \ge 105.1 )= 1 -  P(\= X  <  105.1) = 1-  0.97932

 P( \=  X   \ge 105.1 ) =0.02    

4 0
4 years ago
A museum wishes to display six paintings next to one another on a wall. In how many ways may this be done?
Monica [59]
By hanging them on the wall
7 0
3 years ago
Read 2 more answers
A mechanic sells a brand of automobile tire that has a life expectancy that is normally​ distributed, with a mean life of 27 com
Harrizon [31]

Answer:

Tires that wear out by approximately 24307.8 miles will be replaces free of charge.        

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 27,000 miles

Standard Deviation, σ = 2100  miles

We are given that the distribution of life expectancy is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.10

P( X < x) = P( z < \displaystyle\frac{x - 27000}{2100})=0.10  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 27000}{2100} = -1.282\\\\x = 24307.8

Tires that wear out by approximately 24307.8 miles will be replaces free of charge.

4 0
4 years ago
PLS HELP ASAP WILL GIVE BRAINLEAST!!!!!!
valkas [14]

Answer:

B. reflection over the y-axis and translation 2 units down

Step-by-step explanation:

5 0
3 years ago
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