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kkurt [141]
3 years ago
9

Suppose you're taking an Honors Algebra 1 multiple choice test. The test consists of 40 questions, each having 5 options. If you

guess at all 40 questions, what is the mean of the number of correct answers?
Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0

Answer:8

Step-by-step explanation:

We have given test consists of 40 multiple choice questions having five options for each question.

Suppose there is one correct answer to each question

therefore probabilty of getting a correct answer on making a guess is \frac{1}{5}

i.e. 1 out of 5 questions is correct

Using binomial distribution

where n=40 p=\frac{1}{5}

mean of binomial distribution is np

therefore mean of no of correct answers=40\times \frac{1}{5}

                                                                    =8

     

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Solve by elimination <br> -4x-5y-z=18<br> -2x-5y-2z=12<br> -2x+5y+2z=4
Morgarella [4.7K]
So

-4x-5y-z=18
-2x-5y-2z=12
-2x+5y+2z=4

the 2 last equations look perfect for canceling each other so add them together

-2x-5y-2z=12
<u>-2x+5y+2z=4 +</u>
<u />-4x+0y+0z=16
-4x=16
divide both sides by 4
-x=4
multiply -1
x=-4

now we have
-4x-5y-z=18
-2x+5y+2z=4
add them together
-6x+0y+z=22
but x=-4 so
-6(-4)+z=22
24+z=22
subtract 24 from both sides
z =-2

subsitute into any equation
-2x-5y-2z=12

x=-4
z=-2
-2(-4)-5y-2(-2)=12
8-5y+4=12
12-5y=12
subtract 12 from both sides
-5y=0
y=0


x=-4
y=0
z=-2

7 0
4 years ago
Read 2 more answers
1. 0 f the 320 eighth
Kay [80]

Answer:

There are 208 male students in the eight grade.

Step-by-step explanation:

320 students all together - 35% female students= 208 male students

3 0
3 years ago
The two equal sides of an isosceles triangle is thrice the third side. If the perimeter is 35 cm, then the length of equal sides
DedPeter [7]

Answer:

5

Step-by-step explanation:

First the question said that two equal sides of the isosceles triangles is thrice the third side. This means that the two equal sides is 3x while the third side should be represented as x

Secondly, add the three parts together which = 3x+3x+x =7x

Thirdly, then divide both sides by 7= 7x/7 *35/7

Making x=5

8 0
3 years ago
Megan deposited $2 into her savings account on the first Friday of the month. Each week she doubles her deposit from the week be
Dmitriy789 [7]
A.16 in the 4th week. 
B. 2+4+8+16= 30
6 0
3 years ago
Plz Help!!!<br> Will Give Brainliest to the First Person that answers!!!
Tatiana [17]

Answer:

15 square units.

Step-by-step explanation:

To find the area, we must find the width and length of the rectangle. To find the width and length, we need to find the length of AB and the length of BC. We use the distance formula.

AB: A(-8, 3); B(-3, 3).

\sqrt{(-8-(-3))^2+(3-3)^2}

= \sqrt{(-8+3)^2+0^2}

= \sqrt{(-5)^2+0}

= \sqrt{25 }

= 5

BC: B(-3, 3); C(-3, 6).

\sqrt{(-3-(-3))^2+(3-6)^2}

= \sqrt{(-3 + 3)^2+(-3)^2}

= \sqrt{(0)^2+9}

= \sqrt{0+9}

= \sqrt{9}

= 3

Now that we have both the width and the length, we can solve for the area using A = lw, where A is the area, l is the length, and w is the width. In this case, l = 5 and w = 3.

A = lw

A = 5 * 3

A = 15

So, the area of the rectangle is 15 square units.

Hope this helps!

8 0
3 years ago
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