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Delvig [45]
1 year ago
14

joseph says that there is 5/8 of a ham sandwich left and 1/2 of a turkey sandwich left. what is NOT a pair of equivalent fractio

ns for 5/8 and 1/2?
Mathematics
2 answers:
tigry1 [53]1 year ago
6 0

Answer:

air for \frac{5}{8} is not a pair of equivalent fraction.

Step-by-step explanation:

Fraction of a ham sandwich left = \frac{5}{8}

Fraction of a turkey sandwich left = \frac{1}{2}

Now we find,

Fraction of sandwich that he eat.

Fraction of a ham sandwich Joseph eat = 1-\frac{5}{8}=\frac{8-5}{8}=\frac{3}{8}

Fraction of a Turkey sandwich Joseph eat = 1-\frac{1}{2}=\frac{2-1}{8}=\frac{1}{2}

Now the pair of fraction we have are

Pair 1: \frac{5}{8}\:\:and\:\:\frac{3}{8}

Pair 2: \frac{1}{2}\:\:and\:\:\frac{1}{2}

Now, Equivalent fraction are those fractions which has equal simplest form.

Clearly above pair of fractions are already in simplest form.

So, pair 1 of fraction are not  equivalent fractions.

Therefore, Pair for \frac{5}{8} is not a pair of equivalent fraction.

ra1l [238]1 year ago
5 0

Two <em>possible answers</em> are:

5/16 and 3/8.

Explanation:

To create a fraction equivalent to a given fraction, you multiply the numerator and denominator by the same number. This means for 5/8, we could have:

5/8; (5*2)/(8*2)=10/16; (5*3)/(8*3)=15/24; etc.

For 1/2, we could have:

1/2; (1*2)/(2*2)=2/4; (1*3)/(2*3)=3/6; etc.

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Answer:

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Answer:

<h2>-1</h2>

Step-by-step explanation:

\dfrac{2x-10}{4}=3x\qquad\text{multiply both sides by 4}\\\\2x-10=12x\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\-10=10x\qquad\text{divide both sides by 10}\\\\-1=x\to x=-1

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2 years ago
Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
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Answer:

Her expenses are $25 per week.

Step-by-step explanation:

Given :Jessica earns a commission on each sale but has to pay for her own expenses.

She writes the equation of the function like this: E(x) = 7x - 25, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

To Find: Which of the following are reasonable interpretations of the y-intercept of Jessica's function?

Solution:

E(x) = 7x - 25

x is the number of doors she knocks on during the week

E(x) is her earnings for the week in dollars.

Calculate y intercept

Substitute x = 0

y= - 25

Since E(x) is her total earning after clearing the payment of all her expenses.

So, 25 is her expenses per week.

Since we are given that she need to pay her expenses .

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Thus the reasonable interpretations of the y-intercept of Jessica's function is Her expenses are $25 per week.

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Answer:

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

z=\frac{0.179-0.15}{\sqrt{0.17(1-0.17)(\frac{1}{140}+\frac{1}{60})}}=0.500  

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So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions NOT differs significantly.  

Step-by-step explanation:

Data given and notation  

X_{1}=25 represent the number of homeowners who would buy the security system

X_{2}=9 represent the number of renters who would buy the security system

n_{1}=140 sample 1

n_{2}=60 sample 2

p_{1}=\frac{25}{140}=0.179 represent the proportion of homeowners who would buy the security system

p_{2}=\frac{9}{60}= 0.15 represent the proportion of renters who would buy the security system

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the two proportions differs , the system of hypothesis would be:  

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{25+9}{140+60}=0.17  

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.179-0.15}{\sqrt{0.17(1-0.17)(\frac{1}{140}+\frac{1}{60})}}=0.500  

Statistical decision

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Since is a two sided test the p value would be:  

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laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

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  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

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

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

 P(7.2 < X  < 7.8 ) = P(-1.5 < Z  

=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    P(Z <  1.5) =  0.93319

and  

    P(Z <  -1.5) =  0.066807

So

      P(7.2 < X  < 7.8 ) =0.93319 - 0.066807

       P(7.2 < X  < 7.8 ) =0.0866383

So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

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