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NNADVOKAT [17]
4 years ago
8

PLEASE ANSWER ASAP! AN EXPLANATION IS A MUST REQUIREMENT IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Mathematics
1 answer:
Rina8888 [55]4 years ago
6 0
Hello,
In a Venn 's diagram: A={Custumer edu},B={french}, U=the class.

#(A\B)=22-2=20
#(B\A)=20-2=18
#(A∩B)=2
#U=80

p=(20+2+18)/80=20/40=1/2

Answer C (11/40+1/4-1/10=20/40=1/2)

Sorry for the mistake.


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A pair of equations is shown below: y = 7x - 8 y = 5x - 2 Part A: Explain how you will solve the pair of equations by substituti
yuradex [85]
So, first of all you have to identify the two equations which are: y=7x-8 and y=5x-2. after identifying the two equation you can choose one of them to start with. I chose the first one and I'll use substitution method, which means I'll pug in numbers in the unknown variables to find the value of x. Y=7x-8, I'll substitute the value of y in the equation that I chose and plug in the value of the second equation. Y=7x-8 --> 5x-2=7x-8 (this is our new equation). After that I'll combine like terms. -2+8=7x-5x --> 6=2x  --> 6/2=x --> 3=x. So x=3 and that's the answer using substitution method. If the two points are graphed, they will intersect at the point (3,13). To see where the intersection of the line we can use a calculator to make it faster. So we plug in the points of the two lines in the calculator we graph and find the intersection point.
8 0
3 years ago
Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to b
Rina8888 [55]

Answer:

The food preferences among vole species are independent of one another.

Step-by-step explanation:

The hypothesis can be defined as follows:

<em>H</em>₀: The food preferences among vole species are independent of one another.

<em>Hₐ</em>: There is a relationship between voles and food preference.

The data provided is:

                                           meadow voles            common voles

                 apple slices                15                                   21

peanut butter-oatmeal               25                                    16

A Chi-square test for the Goodness of fit will be used.

The expected values are computed using the formula:

E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}

Consider the Excel sheet attached.

The Chi-square statistic value is 2.861.

Compute the degrees of freedom as follows:

df = (r - 1)(c - 1)

   = (2 - 1)(2 - 1)

   = 1

Compute the <em>p</em>-value as follows:

p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091

The <em>p</em>-value = 0.091 > <em>α </em>= 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that the food preferences among vole species are independent of one another.

4 0
3 years ago
A certain lottery​ game, 32 numbers are randomly mixed and 7 are selected. A person must pick all 7 numbers to win. Order is not
lorasvet [3.4K]

Answer:

Below.

Step-by-step explanation:

The number of combinations of 7 from 32 =  32! / 7! (32-7)!

= 3365856

So it is 1/ 3365856 = 0.000000297

or about 3 in 10,000,000.

3 0
3 years ago
10(5 - n) - 1 = 29<br><br> n = ?<br> Help!
nydimaria [60]

n = 2

distribute and simplify left side of equation

50 - 10n - 1 = 29

49 - 10n = 29 ( subtract 49 from both sides )

- 10n = 29 - 49 = - 20

n = \frac{-20}{-10} = 2



5 0
4 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLIEST
Svetach [21]

Answer:

Check explanation

Step-by-step explanation:

I'll give you my way of solving it and you can figure it out from there.

<CEA = <DEB due to vertical angles

AE = ED due to midpoint theorem

<CAD = <ADB due to alternating angles theorem

thus two triangles congruent due to ASA

5 0
3 years ago
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