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Genrish500 [490]
2 years ago
11

Juan and Gloria are comparing the two numbers 354.6 and 354.06. Juan says that 354.06 is equal to 10 x 354.6. Gloria says he is

wrong. Do you agree with Juan or Gloria? Explain your thinking.
Mathematics
2 answers:
jeka942 years ago
5 0
I agree with Gloria because Juan’s answer would be 3546.6. If you multiply any number by 10 it is moving to decimal 1 place to the right so as an example 354.06 multiplied by 10 would be 3540.6 because you moved the decimal to the right one number.
sveticcg [70]2 years ago
3 0

Answer: I agree with Gloria because 10 times 354.6 is 3546

Step-by-step explanation:

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In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegeta
alukav5142 [94]

Answer:

Z_{0.05}=1.645

Step-by-step explanation:

Given :In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegetables, and 458 reported that they preferred eating vegetables.

To Find :What value of z should be used to calculate a confidence interval with a 95 % confidence level?

Solution:

Confidence level = 95 % i.e.0.95

So, significance level = 5% i.e. 0.05

So, the value of z corresponding to significance level 0.05 should be used  to calculate a confidence interval with a 95 % confidence level

So, Z_{0.05}=1.645

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2 years ago
What number must we multiply by $-\frac23$ to get a product of $\frac34$?
stich3 [128]

Let x be unknown number. If number x is multiplied by -\dfrac{2}{3} and the product is equal to \dfrac{3}{4}, then

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To find x you should divide \dfrac{3}{4} by -\dfrac{2}{3}:

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7 0
2 years ago
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of
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Answer:

a

   P(X <  24 )=  21.186\%  

b

    x =  19.78 \  months

Step-by-step explanation:

From the question we are told that

 The mean is   \mu  =  26 \  months

 The standard deviation is  \sigma  =  4 \  months

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )

Generally  \frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )

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Generally from the z-table  

       P(Z <  -0.8) =  0.21186

So

       P(X <  24 )=  0.21186

Converting to percentage

      P(X <  24 )=  0.21186  * 100

=>    P(X <  24 )=  21.186\%  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

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=> P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06

From the normal distribution table the z-score for  0.06 at the lower tail  is

       z = -1.555

So

    \frac{x - 26}{4} = -1.555

=> x =  19.78 \  months  

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I assume his account balance will become negative. With no overdraft fees in the question, then his account balance should be $-12. 
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