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Darya [45]
2 years ago
15

Quincy, Ralph, Samantha and Teresa all joined a summer reading program. Quincy read five more books than Ralph did. Ralph read h

alf as many books as Samantha did. Samantha read three books less than Teresa did. Teresa read eleven books. How many books did Quincy read?
Please help ASAP! :(
Mathematics
1 answer:
Dominik [7]2 years ago
5 0

Answer:

Quincy read 9 books.

Step-by-step explanation:

Work backwards. Samantha read three less books than Teresa (11-3=8). Ralph read half as many books as Samantha (8/2 = 4). Quincy read five more books than Ralph (4 + 5 = 9).

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Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle. AB = 8 BC = 4 CD =
zimovet [89]
For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a

BC is the short leg of ∆ABC

Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3

For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3

CD = a = √3
AD = a√3 = 3

For ∆BCD
As above
BC = 2
CD = √3
Since BC is the hypotenuse of ∆BCD
2a = 2
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DB = a = 1
6 0
2 years ago
Read 2 more answers
Jordan had the following scores on her math tests last quarter: 96, 89, 79, 85, 87, 94,
Lisa [10]

Answer:

a) 5.5

b) None

Step-by-step explanation:

The given data set is {96,89,79,85,87,94,96,98}

First we must find the mean.

\bar X=\frac{96+89+79+85+87+94+96+98}{8}=\frac{724}{8}=90.5

We now find the absolute value of the distance of each value from the mean.

This is called the absolute deviation

{|96-90.5|,|89-90.5|,|79-90.5|,|85-90.5|,|87-90.5|,|94-90.5|,|96-90.5|,|98-90.5|}

{5.5,1.5,11.5,5.5,3.5,3.5,5.5,7.5}

We now find the mean of the absolute deviations

MAD=\frac{5.5+1.5+11.5+5.5+3.5+3.5+5.5+7.5}{8} =\frac{44}{8} =5.5

The least absolute deviation is 1.5. This is not within one absolute deviation.

Therefore none of the data set is closer than one mean absolute deviation away from  the mean.

5 0
2 years ago
Select the locations on the number line to plot the points 10/2 and −9/2 .
tresset_1 [31]

Answer:

5 and -4.5

Step-by-step explanation:

10/2=5

and -9/2=-4.5

-5  -4.5 -4 -3 -2 -1 0 1  2 3 4 5

4 0
2 years ago
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Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
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

  The standard deviation is  \sigma  =  0.2

  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

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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

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 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

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and  

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So

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So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

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Given

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2 years ago
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