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USPshnik [31]
2 years ago
9

. A high school currently has a 30% dropout rate. They’ve been tasked to decrease that rate by 20%. Find the equivalent percenta

ge point drop.
Mathematics
1 answer:
Crazy boy [7]2 years ago
3 0

Answer:

The equivalent percentage point drop = 10%

Step-by-step explanation:

The percentage point change is the difference between the final and initial values.

The percentage change is the difference between the final and initial values

divided by the initial value

It is required to decrease the dropout rate from 30% to 20%

The point change = 20 - 30 = -10 (-ve change ⇒ decrease)

The percentage change = \frac{10}{30}*100 = 33.33_%%

So, the equivalent percentage point drop = <u>10%</u>

And the percentage change = <u>33.33%</u>

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A school graduation class wants to hire buses and vans for a trip to Jasper National Park. Each bus
BARSIC [14]
Let the school hire x buses and y vans.

A bus can hold 40 students and 3 teachers.
A van can hold 8 students and 1 teacher.

The number of students riding in  buses and vans is at least 400, therefore
40x + 8y ≥ 400          (1)

The number of teachers riding in buses and vans is at most 36, therefore
3x + y ≤ 36                (2)

Write (1) and (2) as
y ≥ 50 - 5x                 (3)
y ≤ 36 - 3x                 (4)

The equality portion of the solution of (3) and (4) is
36 - 3x = 50 - 5x
2x = 14
x = 7   =>  y = 36 - 3*7 = 15

A graph of the inequalities indicates the acceptable solution in shaded color, as shown below.

The minimum cost of renting buses and vans is
7*$1200 + 15*$100 =  $9900

Answer: The minimum cost is $9,900

6 0
2 years ago
Craig Campanella and Edie Hall both have night jobs. Craig has every thirteenth night and Edie has every Fifth night off. How of
Andrews [41]

Craig has every 13th night and Edie has every 5th night off.

You have to find LCM - the Least Common Multiple that is the smallest ("least") number that both 13 and 5 will divide into.

Since numbers 13 and 5 are both prime, then LCM(13,5)=13·5=65.

This means, they will have the same every 65th night off.  

6 0
2 years ago
Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed,
seropon [69]

Answer and Step-by-step explanation:

Data provided in the question

Mean = 1.1 hours per call =

R = Mean rate = 1.6 per eight hour day

\mu = \frac{8}{1.6} = 5 per day

Based on the above information

a. The average number of customers is

= \frac{R^2}{\mu(\mu- R)}

= \frac{1.6^2}{5(5- 1.6)}

= 151

b. The system utilization is

= \frac{R}{\mu}

= \frac{1.6}{5}

= 0.32

c. The amount of time required is

= 1 - system utilization

= 1 - 0.32

= 0.68

And, there is 8 hours per day

So, it would be

= 0.68 \times 8

= 5.44 hours

d. Now the probability of two or more customers is

= 1 - (0.68 + 0.68 \times 0.32)

= 0.1024

Therefore we simply applied the above formulas

4 0
2 years ago
Conscientiousness is a tendency to show self-discipline, act dutifully, and aim for achievement. The trait shows a preference fo
MAVERICK [17]

Answer:

a

The Null hypothesis represented as

     H_0: \mu_1 -  \mu_2  = 0

   

The Alternative hypothesis represented as

     H_a: \mu_1 -  \mu_2  <  0

b

p-value =  P(Z <  -3.37  )  = 0.000376

c

There is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students

Step-by-step explanation:

From the question we are told that

   The population size is  n= 650

    The  sample size for graduates is  n_1 =  300

     The sample  mean for graduates is \= x _1 =  148

      The sample  standard deviation for graduates is \sigma_1  =  16

    The  sample size for under-graduates is n _2 = 350

         The sample  mean for under-graduates is \= x _2 =  153

         The sample  standard deviation for graduates is \sigma_2  =  21

The Null hypothesis represented as

     H_0: \mu_1 -  \mu_2  = 0

   

The Alternative hypothesis represented as

     H_a: \mu_1 -  \mu_2  <  0

Where \mu_1 \ and \  \mu_2 are the population mean

  Now the test statistic is mathematically represented as

          t =  \frac{(\= x_1 - \= x_2 ) }{ \sqrt{ \frac{ (n_1 - 1 )\sigma_1 ^2 + (n_2 - 1)\sigma_2^2}{n_1 +n_2 -2} }  * \sqrt{ \frac{1}{n_1}  + \frac{1}{n_2} } }

substituting values

       t =  \frac{(148 - 153 ) }{ \sqrt{ \frac{ (300- 1 )16 ^2 + (350 - 1) 21^2}{300 +350 -2} }  * \sqrt{ \frac{1}{300}  + \frac{1}{350} } }

      t = -3.37

The p-values is mathematically evaluated as

     p-value =  P(Z <  -3.37  )  = 0.000376

The above answer is gotten using a p-value calculator  at (0.05) level of significance

     Looking the p-value we see that it is less than the level of significance (0.05)  so Null hypothesis is rejected

Hence there is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students

   

6 0
2 years ago
Solve the inequalities for x, and match each solution to its number line graph.Two less than 3/2 of a number (x) is no more than
melamori03 [73]
I do not understand your question please explain further for me to answer
8 0
2 years ago
Read 2 more answers
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