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algol13
3 years ago
12

The summer youth camp is going on an excursion to atlantis Amusement Park. 50% of the 78 students that are going want to go to t

he Sinking Of Atlantis first.How many students want to visit the sinking of Atlantis first?
Mathematics
1 answer:
wel3 years ago
7 0

Answer:

78*50/100= 78/2 ( half of 78) = 39

Step-by-step explanation:


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See photo PLEASE HELP:(
slega [8]

Answer:

1/5

Step-by-step explanation:

<u>silk butterfly =    4cm=1 </u>  (this is the reduce form )

butterfly            20cm=5            

                                                           Also you will just divide this by 4

8 0
3 years ago
Five years ago I was 5 times older than my son. In 8 years’ time I will be 3 times older than my son. How old am I today?
o-na [289]

Let x = Parent's age now  y = son's age now

Then, x-5 = parent's age five years ago

        y-5 = son's age five years ago

     So, x-5 = 5(y-5)

          Simplify to get x - 5y = -20

Parent's age 8 years from now = x+8

Son's age 8 years from now = y+8

    So, x+8 = 3(y+8)

           Simplifying, we have x - 3y = 16

We have the system of equations:  x - 5y = -20

                                                  x - 3y = 16

Subtract the equations to obtain -2y = -36

                                                  y = 18

                                                  x = 70

Parent is 70 years old and the son is 18 years old.  

6 0
3 years ago
Read 2 more answers
9.50 One way to evaluate the effectiveness of a teaching assistant is to examine the scores achieved by his or her students on a
EleoNora [17]

Answer:

Step-by-step explanation:

Given that a professor sets a standard examination at the end of each semester for all sections of a course. The variance of the scores on this test is typically very close to 300.

H_0: s^2 = 300\\H_a: s^2 \neq 300

(Two tailed test for variance )

Sample variance =480

We can use chi square test for testing of hypothesis

Test statistic = \frac{(n-1)s^2}{\sigma^2} \\=62.4

p value = 0.0100

Since p <0.05 our significance level, we reject H0.

The sample variance cannot be claimed as equal to 300.

5 0
3 years ago
You are given g(x)=4x^2 + 2x and
Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt

Find:

f(6)

First, find f(x):

f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2

Now,

f(6)\\ \\=\dfrac{4\cdot 6^3}{3}+6^2\\ \\=288+36\\ \\=324

4 0
3 years ago
On a map, two cities are 4 and 1/4 inches apart. The scale of the map is 1/2 inch = 3 miles. What is the actual distance between
garik1379 [7]

Answer:

25,5 miles

Step-by-step explanation:

4.25 inch on map

4.25/0.5 = 8,5

8,5 * 3 = 25,5 miles

4 0
3 years ago
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