Standard tests, such as the SAT or ACT or MCAT, tend to make extensive use of multiple-choice questions because they are easy to grade using software. If one such multiple choice question has possible correct answers of a, b, c, d, e, what is the probability of a wrong answer if the answer is a random guess

Answer:

OB - Older Brother

YB - Younger Brother

A) OB -YB = 4

B) OB * YB = 96

B) OB = 96 / YB

Multiplying A) by -1

A) -OB + YB = -4 then we add B)

B) OB = 96 / YB

YB = -4 + 96 / YB

Multiplying both sides by YB

YB^2 = -4YB +96 then re-arranging

YB^2 + 4YB -96 = 0 solving by quadratic equation

AS OF 5 years AGO:

Younger Brother's age = 8

Older Brother's age = 12

NOW THEIR AGES ARE:

8 + 4 = 12  YB and

12 + 4 = 16 OB

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

The segment QR is horizontal as both have same y- coordinate of -6.

The distance between Q and R is the distance between x- coordinates:

Answer:

10

Step-by-step explanation:

i took the test flvs right segmant exam

Answer:

60

Step-by-step explanation:

Answer:

1 3/4 gallon or 1.75

Step-by-step explanation:

1 (1/4) = 5/7

5/4 = 5/7

5/4 = 1.25

1.25/x = 5/7

7(1.25) = 5x

5x = 8.75

x = 1 3/4

Answer:

f is equal to 3 which means g is also equal to 3

Step-by-step explanation:

Answer:

sorry didnt get to find the anwser

Step-by-step explanation:

Answer:

[tex]B' = (-3, -15)[/tex]

Step-by-step explanation:

Given

[tex]A = (-3,-1)[/tex]

[tex]A' = (-9,-3)[/tex]

[tex]B = (-1,-5)[/tex]

Required

Determine the coordinates of B'

Since A' is the image of A; we need to first calculate the scale factor using

[tex]A' = A * Scale\ factor[/tex]

Make Scale Factor the subject

[tex]Scale\ Factor = \frac{A'}{A}[/tex]

Substitute values for A' and A

[tex]Scale\ Factor = \frac{(-9,-3)}{(-3, -1)}[/tex]

Factorize the numerator

[tex]Scale\ Factor = \frac{3 * (-3,-1)}{(-3, -1)}[/tex]

[tex]Scale\ Factor = \frac{3 * 1}{1}[/tex]

[tex]Scale\ Factor = 3[/tex]

The coordinates of B' is then calculated as follows:

[tex]B' = B * Scale\ Factor[/tex]

Substitute values for B and Scale Factor

[tex]B' = (-1,-5) * 3[/tex]

[tex]B' = (-3, -15)[/tex]

Answer:

p₁  -  p₂  = ( -0,28 . 0 )

Step-by-step explanation:

Eastern gray squirrel

Sample size    n₁  = 60

p₁  =  22 %        p₁  = 0,22       then     q₁  = 1 - 0,22      q₁ = 0,88

Western gray squirrel

Sample size  n₂  =  120

p₂ = 36%     p₂ = 0,36     Then    q₂  =  1  - 0,36     q₂  =  0,64

p (s)  = ( p₁ - p₂ ) /√ (p₁*q₁ ) / n₁   +  (p₂*q₂/ n₂)

p(s)  = ( 0,22 -  0,36 ) /√ (0,22*0,88)/60  +  ( 0,36*0,64)/120

p(s)  =  -0,14 /0,071

p(s) = - 1,9718

Then

CI = (  p₁ - p₂ ) ± p(s) *EED

EED =  /√ (p₁*q₁ ) / n₁   +  (p₂*q₂/ n₂)   = 0,071

CI = (  - 0,14  ±  1,9718 * 0,071 )

CI =  ( - 0,14  ±  0,14 )

CI =  ( - 0,28 ;  0 )

we will find with 95% of confidence the mean of the sampling distribution of the difference in sample proportion in the interval  ( -0,28 , 0 )

p₁  -  p₂  = ( -0,28 . 0 )

The sampling distribution of the difference in the proportions between proportion is given by possible values of the difference.

The mean of the difference in sample proportion is; (E) 0.22 - 0.36

Reasons:

The given information are;

Percentage of eastern gray squirrel population weighing over 0.5 kg = 22%

Percentage of western gray squirrel population weighing over 0.5 kg = 36%

Sample size of the eastern gray squirrels = 60

Sample size of the western gray squirrels = 120

Required:

The mean of the sampling distribution of the difference in sample proportions (eastern minus western)

The mean of the difference is given by the difference of the mean.

The mean of the sampling distribution of the difference in the sampling proportion from two populations is; Mean = p₁ - p₂

Where;

p₁ = The proportion of the eastern gray squirrel = 22% = 0.22

p₂ =  The proportion of the western gray squirrel = 36% = 0.36

Therefore;

Mean = p₁ - p₂ = 0.22 - 0.36

The correct option is (E) 0.22 - 0.36

Learn more here:

The possible question options obtained online includes;

[tex](A) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{120} + \dfrac{0.36\cdot (0.64)}{60} }[/tex]

[tex](B) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{60} + \dfrac{0.36\cdot (0.64)}{120} }[/tex]

(C) 60·(0.22) - 120·(0.36)

(D) 0.36 - 0.22

(E) 0.22 - 0.36

Answer:

x=9

Step-by-step explanation:

4(x-3)-8=16

1. Distribute

(4x) - (4*3) - 8 =16

4x-12-8=16

Combine the 12 and the 8

4x-20=16

Add 20 to both sides

4x-20+20=16+20

4x=36

Divide by 4.

x=9

Hope this helps plz hit the crown :D

A scalene triangle can be identified by the inequality of the lengths of its sides and size of its angles.

Answer:

Step-by-step explanation:

360

Answer:

8.75

Step-by-step explanation:

In order to find the unit rate, you need to divide the variable by the independent variable. In this case, your dependent variable would be $122.50 because the cost depends on how much you are buying; you're independent variable will be 14 because it doesn't depend on the other.

Divide 122.5 by 14 and your answer would be 8.75

Hope this helps!!!  :)

Also, please give me brainliest if you don't mind.  :)

If you don't want to, then it's okay.  

8.75 hope this answers your question.

9514 1404 393

Answer:

  678

Step-by-step explanation:

The sequence has a first term of 12 and a common difference of 21-12 = 9. The explicit formula for the n-th term is ...

  an = a1 +d(n -1)

For a1 = 12 and d = 9, this is ...

  an = 12 + 9(n -1)

Using 75 for the value of n, we have ...

  a75 = 12 + 9(75 -1) = 12 + 666 = 678

The 75th term is 678.

Answer:part, whole

Step-by-step explanation:

Part, whole

Answer:

Step-by-step explanation:

Let chocolate bar cost = c and blow pops cost = b

As per given we have equations below:

13 times the first equation minus 8 times the second to eliminate b and find c:

Each chocolate bar costs $2.65

Answer:

1 penny 3 nickels 2 dimes = 36 cents

quarter

Step-by-step explanation:

Answer: (-28, -24)

Step-by-step explanation:

Since the scale factor is four, it denotes that it’s a positive dilation. The question is asking for 4 times the point. In other words, where would the point be if it was stretched out 4 times.

If you draw a line from the given to the QED, (-7, -6) to (-28, -24), then you’ll realize that the image is 4 time the original point.

K= (-7*4, -6*4)

Any number less than one means the point or shape is being compressed or made smaller.

Answer:

bbbbbb

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

y.

Point B is reflected at from point A at y-axis.

Answer:

3/4

Step-by-step explanation:

please mark me as brainliest

Answer:

3/4

Step-by-step explanation:

You just multiply the whole number by the numerator.

Answer:

Write a linear function f with the values f(2)=−2 and f(1)=1.

So, this is just a different way to say two different coordinates (x, y) and (x1, y1). f(x)=y and f(x1) = y1

We have: (2,-2) and (1,1) and we want to know the equation of the line that goes through those two points.

Find the : M = (y-y1)/(x - x1) = (-2 - 1) / (2 - 1) = -3/1 = 3; M = 3

Find the Y intercept by in one of the points for x and y and solving for B

Y = 3(X) + B

I'll choose the (1,1) to plug in: 1 = 3(1) + B; so B = -2

Put them together in intercept form: Y = 3(X) -2

Step-by-step explanation:

Does this help you understand the steps to take to solve this type of problem? please mark me as brainlest answer hope this helps

Answer:

1. d) = g)

(3x - 2)(9x² + 6x + 4) = 27x³ - 8

2. e) = f)

(3x + 5) (3x - 4) = 9x² + 3x - 20

3. b) = h)

9x² - 24xy + 16y² = (3x - 4y)²

Step-by-step explanation:

From the above question, we are to find the pairs through expansion or factorisation

a) (3x + 2)(9x² - 6x + 4)

b) 9x² - 24xy + 16y²

c) (4x - 3y)²

d) (3x - 2)(9x² + 6x + 4)

e) (3x + 5) (3x - 4)

f) 9x² + 3x - 20

g) 27x³ - 8

h) (3x - 4y)²

a) (3x + 2)(9x² - 6x + 4)

We expand.

3x(9x² - 6x + 4) + 2(9x² - 6x + 4)

27x³ - 18x² + 12x + 18x² - 12x + 8

27x³ - 18x² + 18x² + 12x - 12x + 8

= 27x³ + 8

c) (4x - 3y)²

We expand

(4x - 3y) (4x - 3y)

4x(4x - 3y) - 3y ( 4x - 3y)

16x² - 12xy - 12xy + 9y²

16x² - 24xy + 9y²

d) (3x - 2)(9x² + 6x + 4)

We expand

3x(9x² + 6x + 4) - 2(9x² + 6x + 4)

27x³ + 18x² + 12x - 18x² - 12x - 8

27x³ - 18x² + 18x² + 12x - 12x - 8

= 27x³- 8

e) (3x + 5) (3x - 4)

We expand

3x(3x- 4) +5(3x - 4)

9x² - 12x + 15x - 20

9x² +3x - 20

h) (3x - 4y)²

We expand

(3x - 4y) ( 3x - 4y)

3x(3x - 4y) -4y(3x - 4y)

9x² - 12xy - 12xy - 16y²

9x² - 24xy - 16y²

Hence:

1. d) = g)

(3x - 2)(9x² + 6x + 4) = 27x³ - 8

2. e) = f)

(3x + 5) (3x - 4) = 9x² + 3x - 20

3) b) = h)

9x² - 24xy + 16y² = (3x - 4y)²

Answer:

125.74 units

Step-by-step explanation:

30.18 units

33.00 units

28.38 units

34.18 units

125.74

Answer:

Diana finshed playing volleyball at 8am

Step-by-step explanation:

So we know she started at 5:35 AM

And she hiked for an hour and 30 minutes

so 5:35+1 hour is 6:35

and 6:35+35 is 7:05

So before playing volley ball, the time is 7:05 am

Now volley ball was 55 minutes

so 7:05+55 is 8

So 8am

Answer:

She finish playing valleyball at 8:00 am

Step-by-step explanation:

Hike at 5:30 => 1h 30 min => 7:05

valleyball at 7:05 => 55 min => 8:00

Answer:

L = P/2 - W

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

P = 2L + 2W

Step 2: Solve for L

The solutions to the quadratic equation x² + 12x - 1 = 0 are given by:

[tex]x = -6 \pm \sqrt{37}[/tex]

A quadratic function is given according to the following rule:

y = ax² + bx + c

The solutions are given as follows:

In which:

[tex]\Delta = b^2 - 4ac[/tex]

For this problem, the equation is given by:

x² + 12x - 1 = 0.

The coefficients are:

a = 1, b = 12, c = -1.

Hence:

Since [tex]\sqrt{148} = 2\sqrt{37}[/tex], the solutions are given as follows, simplifying by 2:

[tex]x = -6 \pm \sqrt{37}[/tex]

More can be learned about quadratic equations at https://brainly.com/question/24737967

#SPJ1

Answer:

5

Step-by-step explanation:

Im asuming you meant " x = 2 ".

According to PEMDAS, parenthese come first so...

10 - ( 2 + 3 )

= 10 - 5

= 5  

Answer:

its 50

Step-by-step explanation:

10 times (x+3)  x=2

2 plus 3 is 5  

10 time 5

   =50

Answer:

[tex]\displaystyle s=5,000p-50,000[/tex]

Step-by-step explanation:

Linear Model

The supply of cartons of oil in January 2021 is predicted to reach 50,000 cartons for Tawfiq Trading Company with the carton selling for $20.

If we call s the supply of cartons and p the price, the ordered pair (p,s) for this condition is (20 ; 50,000).

It's predicted that the supply will fall by 20,000 if the price falls by 20%. The new supply will be 50,000-20,000=30,000 and the new price will be 0.8*$20=$16. This gives us the second point (16 ; 30,000)

The equation of a line passing through points (p1,s1) and (p2,s2) can be found as follows:

[tex]\displaystyle s-s_1=\frac{s_2-s_1}{p_2-p_1}(p-p_1)[/tex]

Substituting the given points:

[tex]\displaystyle s-50,000=\frac{30,000-50,000}{16-20}(p-20)[/tex]

Calculating:

[tex]\displaystyle s-50,000=\frac{-20,000}{-4}(p-20)[/tex]

[tex]\displaystyle s-50,000=5000(p-20)[/tex]

Operating and simplifying:

[tex]\displaystyle s-50,000=5,000p-100,000[/tex]

[tex]\mathbf{\displaystyle s=5,000p-50,000}[/tex]