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Viktor [21]
3 years ago
6

Of 30 students, į play sports. Of those who play sports, į play soccer.

Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

what are the equations to the math on this?

You might be interested in
What is an equation of the line that passes through the points (-1, 6) and<br> (-1, –5)?
miskamm [114]

Answer: 11x + 11

Step-by-step explanation:

This is two points equation. It could be done in various ways depending on the level of understanding of the topics. The formula goes thus

y - y₁         y₂ ₋ y₁                           y₂ ₋ y₁

------    =   ----------      or  y ₋ y₁ =    ---------  ˣ  ( x - x₁ )

x - x₁         x₂ ₋ x₁                           x₂ ₋ x₁

Where x₁ = -1, x₂ = -1, y₁ = 6, y₂ = -5. Now substitute for the values in the formula above and solve.

y - 6           -5 - 6       -11             -11

------      =   --------    =  ----      =    -----

x - (-1)         -1 - (-1)      -1 + 1          0

y - 6          -11

------    =    -----

x + 1           0   ,

Now we cross multiply to have a linear equation

0( y - 6 )  =  -11( x + 1 )

0   =   -11x - 11, now multiply by -1

The equation now becomes

11x + 11

   

3 0
3 years ago
Many states assess the skills of their students in various grades. One program that is available for this purpose is the Nationa
Nataly [62]

Answer:

A score of 314 is needed to be in the top 25% of students who take this exam.

Step-by-step explanation:

We are given that one of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In recent years, the national mean score was 289 and the standard deviation was 37.

Let X = <u><em>scores of the tests provided by the NAEP</em></u>

The z-score probability distribution for the normal distribution is given by;

                           Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = national mean score = 289

           \sigma = standard deviation = 37

Now, we have to find how high a score is needed to be in the top 25% of students who take this exam, that means;

            P(X > x) = 0.25     {where x is the required score}

            P( \frac{X-\mu}{\sigma} > \frac{x-289}{37} ) = 0.25

            P(Z > \frac{x-289}{37} ) = 0.25

In the z table, the critial value of z that represents the top 25% of the area is given as 0.6745, that is;

                        \frac{x-289}{37}=0.6745

                        {x-289}=0.6745\times 37

                        x = 289 + 24.96 = 313.96 ≈ 314

Hence, a score of 314 is needed to be in the top 25% of students who take this exam.

7 0
3 years ago
A scientist uses 3 gallon of liquid for every 6 hours he uses (blank) of a gallon each hour he works
adelina 88 [10]

Answer:

18

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The vertex of the parabola below is at the point (1, 5), and the point (2, 8) is on the parabola. What is the equation of the pa
N76 [4]

Answer: B

Step-by-step explanation:

the parabola having (1,5) as vertex have as equation:

y=k*(x-1)²+5

It is passing through (2,8)

8=k*(2-1)²+5 ==> k+5=8 ==> k=3

equation is  y=3(x-1)²+5

Answer B

6 0
2 years ago
Kyle drives 330 miles on 15 gallons of gas. How many miles per gallon (mpg) did Kyle get? A) 12 mpg B) 16 mpg C) 19 mpg D) 22 mp
Vikki [24]

Answer:

d. 22mpg

Step-by-step explanation:

330/22

5 0
3 years ago
Read 2 more answers
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