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Natalka [10]
3 years ago
6

The math test has 10 multiple choice questions, each with 3 answers. If Betty guesses correctly on the first 3 questions, what i

s the probability that she will guess correctly on the fourth question?
Mathematics
2 answers:
Roman55 [17]3 years ago
5 0
I would say that Betty will have a probability to guess 1/3 on the fourth question due to the test only having 10 multiple choice questions with three answers. 
alukav5142 [94]3 years ago
4 0

Answer: \dfrac{1}{3}

Step-by-step explanation:

Given: The number of multiple choices to each question = 3

We know  that in multiple choice question there is only one answer is correct .

Then the probability that she will guess correctly on any question is given by :-

=\dfrac{\text{Correct choice}}{\text{Total choices}}\\\\=\dfrac{1}{3}

Hence, the  the probability that she will guess correctly on the fourth question = \dfrac{1}{3}

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nikklg [1K]

The answer is random sampling

7 0
3 years ago
Farmer bob's square plot ofland is slowly eroding away. Worried about the future of his farm. Farmer Bob measures the rate of er
kow [346]

Answer:

Option A.

Step-by-step explanation:

Area of a square is

A=x^2               .... (1)

where, x is side length.

The length of each side of his square plot is decreasing at the constant rate of 2 feet/year.

\dfrac{dx}{dt}=2

It is given that bob currently owns 250,000 square feet of land.

Fist find the length of each side.

A=250000

x^2=250000

Taking square root on both sides.

x=500

Differentiate with respect to t.

\dfrac{dA}{dt}=2x\dfrac{dx}{dt}

Substitute x=500 and \frac{dx}{dt}=2 in the above equation.

\dfrac{dA}{dt}=2(500)(2)

\dfrac{dA}{dt}=2000

Farmer bob is losing 2,000 square feet of land per year.

Therefore, the correct option is A.

7 0
3 years ago
What is the internal angle sum of a quadrilateral? (Hint: A quadirlateral has 4 sides.) OA) 90 OB) 180 OC) 360 OD 540
shtirl [24]

The internal angle sum of a quadrilateral is :

C. 360°

The sum of internal angles of a polygon is determined by a formula :

\longmapsto (n - 2) × 180°

where n represents number of sides.

In a quadrilateral there are four sides,

So, plugging 4 in the formula :

  • (4 - 2) \times 180°

  • 2 \times 180°

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_____________________________

\mathrm{ \#TeeNForeveR}

5 0
3 years ago
Read 2 more answers
What is the perimeter of a square whose diagonal is 3 square root 2? Show all work on how you got your answer
Alika [10]

Answer:

12

Step-by-step explanation:

Given: Diagonal of square= 3\sqrt{2}

To find the perimeter of square, we need to find the length of sides of square.

∴ Using the formula of diagonal to find side of square.

Formula; Diagonal= s\sqrt{2}

Where, s is side of square.

⇒ 3\sqrt{2} = s\sqrt{2}

Dividing both side by √2

⇒s= \frac{3\sqrt{2} }{\sqrt{2} }

∴s= 3

Hence, Length of side of square is 3.

Now, finding the perimeter of square.

Formula; Perimeter= 4s

⇒Perimeter= 4\times 3

∴ Perimeter= 12

Hence, Perimeter of square is 12.

6 0
3 years ago
If the length of a rectangle is 120 m and the diagonal measures 130 m what is the perimeter and area of the rectangle
Leviafan [203]

Answer:

Step-by-step explanation:

width=√(130²-120²)=√[10²(13²-12²)]=10√(13+12)(13-12)=10√(1×25)=10×5=50 m

perimeter=2(120+50)=2×170=340 m

area=120×50=6000 m²

5 0
3 years ago
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