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lesya [120]
2 years ago
10

Direction: Read and understand each problem and solve. Show your solution if necessary.

Mathematics
1 answer:
Elan Coil [88]2 years ago
4 0

[1] 0.25, 0.25%, or \frac{1}{4}

     We will divide the number of wanted outcomes by possible outcomes.

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{5}{3+5+12} =\frac{5}{20} =\frac{1}{4}

[2]

     We will follow the same steps as problem 1.

MTHMTCS = 7 consonants

AEAI = 4  vowels

MTHEMTICS = 9 letters that are not A's

MATHEMATICS = total of 11 letters

(a)

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{7}{11}

(b)

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{4}{11}

(c)

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{9}{11}

[3] 0.877

     If the probability that a television is defective is 0.123, then the probability that a television is not defective is:

1 - 0.123 = 0.877

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the forecast calls for a 30% chance of snow today and a 40% chance of snow tomorrow. what are the chances it will rain two days
egoroff_w [7]

Answer:

The chances it will rain two days in a row is 12%

Step-by-step explanation:

The forecast calls for a 30% chance of snow today

So, chance of snowfall today = 30% = 0.3

A 40% chance of snow tomorrow.

So, chance of snowfall tomorrow= 40% = 0.4

The chances it will rain two days in a row = 0.4  \times 0.3

                                                                    = 0.12  

So, percent  it will rain two days in a row = 0.12 \times 100 = 12\%

Hence the chances it will rain two days in a row is 12%

7 0
3 years ago
In this diagram, each square represents 1 km. What is the displacement of the car?​
Brut [27]
<h3>Answer: C) 2 km west</h3>

Explanation:

With displacement, all we care about is the beginning and end. We don't care about the middle part(s) of the journey. So we'll take the straight line route from beginning to end when it comes to computing displacement.

We start at A(0,0) and end at B(-2,0). Going from A directly to B has us go 2 km west. Keep in mind that displacement is a vector, so you must include the direction along with the distance.

8 0
3 years ago
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Determine the value of a, b, and c for the quadratic equation: 4x2- 8x = 3
Rufina [12.5K]

Answer:

B. a = 4, b = -8, c = -3

Step-by-step explanation:

The quadratic equation given is:

4x^2- 8x = 3

The general form of a quadratic equation is given as:

ax^2 + bx +c = 0

Let us put the given equation in this form and then compare with the general form of the quadratic equation.

4x^2- 8x = 3\\\\4x^2 - 8x - 3 = 0

Therefore, by comparing:

a = 4

b = -8

c = -3

The correct option is B

4 0
3 years ago
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sattari [20]

The solution is in the picture

8 0
3 years ago
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nikitadnepr [17]
F(-5) = 2(-5) + 1 = -9
g(-5) = (-5)^2 = 25

(f*g)(-5) = -9(25) = -225
4 0
3 years ago
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