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JulsSmile [24]
2 years ago
12

Joe nas to take two quizzes tomorrow. He nas only enough time to study one of them. • The science quiz has 7 true-or-false quest

ions. • The English quiz has 3 multiple-choice questions. Joe calculates the probability that he will get each question correct by guessing. ?​

Mathematics
1 answer:
Nostrana [21]2 years ago
6 0

Answer:

C.

Step-by-step explanation:

Science questions are T/F. That's .5 or \frac{1}{2} chance to get it right.

7 questions. Each with a \frac{1}{2}.

That's (\frac{1}{2})^{7}  

(\frac{1}{2})^{7} = \frac{1}{128} = .0078 = .008 rounded

English questions are multiple choice. 4 choices. That's .25 or \frac{1}{4}

3 questions. Each \frac{1}{4}

That's (\frac{1}{4})^{3}

(\frac{1}{4})^{3} = \frac{1}{64} = .0156 = .016 rounded

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A 64-foot tall monument casts a shadow 16 feet long. If Kyle is stsnding nearby and is 6'3 tall, find the length of his shadow.​
Helen [10]

Answer: Length of his shadow is 18 feet.

Step-by-step explanation:

Since we have given that

Length of tall monument = 64 foot

Length of shadow = 16 feet

Length of pole where Kyle is standing = 6 feet 3 inch = 72 inches

So, we need to find the length of its shadow.

So, according to question, we get that

\dfrac{64\times 12}{16\times 12}=\dfrac{72}{x}\\\\4=\dfrac{72}{x}\\\\4x=72\\\\x=\dfrac{72}{4}\\\\x=18\ feet

Hence, length of his shadow is 18 feet.

3 0
3 years ago
Which number line shows the solution set for |p-3|=9?
Mademuasel [1]

Answer:

Option b

p = -6 or p = 12

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the equation:

|p-3| = 9 has two cases

(p-3) = 9    if h > 3  (i)

-(p-3) = 9    if h < 3 (ii)

We solve the case (i)

p = 9 + 3\\p = 12

We solve the case (ii)

-p +3 = 9\\p = 3-9\\p = -6

Then the solution is:

p = -6 or p = 12

3 0
3 years ago
Please look at the picture and answer it thank you.
ElenaW [278]

Answer:

x = 17

Step-by-step explanation:

The sum of all angle measures in any triangle is 180 degrees.

  • Thus, 23 + 5x - 18 + 90 = 180.

Step 1: Simplify both sides of the equation.

  • (5x)+(23+90-18)=180
  • 5x+95=180

Step 2: Subtract 95 from both sides.

  • 5x+95-95=180-95
  • 5x=85

Step 3: Divide both sides by 5.

  • 5x/5=85/5
  • x=17

Step 4: Check if solution is correct.

  • (5*17-18)+23+90=180
  • 67+23+90=180
  • 180=180

Thus, x = 17.

6 0
2 years ago
A square has a side length equal to 5x-3y inches. What is the area of this square
erastovalidia [21]

Answer:

D.

Step-by-step explanation:

The area is the product of 2 adjacent sides:

Area = (5x - 3y)(5x - 3y)     as the sides of a square are all equal.

= 5x(5x - 3y) - 3y(5x - 3y)

= 25x^2  - 15xy - 15xy + 9y^2

= 25x^2 - 30xy + 9y^2.

5 0
3 years ago
If anyone can check my work for me that would be greatly appreciated I'm having trouble.
krek1111 [17]
The answer is -13. Solution: = |-4b - 8| + |-1 - b^2| + 2b^3 = |-4(-2) - 8| + |-1 - -2^2| + 2(-2)^3 = |8-8| + |-1+4| + 2(-8) = |0| + |3| + (-16) = -13
8 0
2 years ago
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