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Andrej [43]
4 years ago
10

Four

Mathematics
1 answer:
damaskus [11]4 years ago
4 0
The probability is 50% for heads, so you should expect 2 heads results

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Suppose you take a 15 question True or False quiz and you guess on every problem. You only get 3 correct. (a) What is the probab
lana66690 [7]

Answer:

0.648

No, that is not an unusually low number of correct guesses.

Step-by-step explanation:

Suppose you take a 15 question True or False quiz and you guess on every problem. You only get 3 correct. Then

  • p=\dfrac{3}{15}=\dfrac{1}{5}=0.2 - correct;
  • q=1-p=1-0.2=0.8 - o\incorrect.

The probability of getting 3 or fewer correct guesses is

P(\text{3 or fewer})\\=P(0)+P(1)+P(2)+P(3)\\ \\=C^{15}_0p^0q^{15-0}+C^{15}_1p^1q^{15-1}+C^{15}_2p^2q^{15-2}+C^{15}_3p^0q^{15-3}\\ \\=1\cdot q^{15}+15pq^{14}+105p^2q^{13}+455p^3q^{12}\\ \\=(0.8)^{15}+15\cdot 0.2\cdot (0.8)^{14}+105\cdot (0.2)^2\cdot (0.8)^{13}+455\cdot (0.2)^3\cdot (0.8)^{13}\\ \\\approx 0.648

Using the criteria that a number 3 is unusually low if P(3 or fewer) ≤ 0.05, we can state that 3 is not an unusually low number of correct guesses.

5 0
3 years ago
Which of the following are solutions?
zloy xaker [14]

This is a quadratic equation. There's a shortcut (two shortcuts really) called the Shakespeare Quadratic Formula (2b or -2b) applicable when the middle term is even:

x^2 - 2bx + c \textrm{ has zeros } x= b\pm \sqrt{b^2-c}

ax^2 - 2bx + c \textrm{ has zeros } x= \dfrac 1 a( \left b\pm \sqrt{b^2-ac} \right)

OK, our problem is

9x^2 - 6x -7 = 0

x = \frac 1 9 (3 \pm \sqrt{9-(9)(-7)}) = \frac 1 9(3 \pm \sqrt{72})= \frac 1 9(3 \pm 3 \sqrt{8}) = \frac 1 3(1 \pm \sqrt 8)

Typically we'd write \sqrt 8 = 2 \sqrt 2 but the answers here don't so we won't either.

Answer: C and D

7 0
3 years ago
Multiplication made for 840 here's the numbers 11 3 4 5 2 3 7 6 14 what do I use to get 840 using only those numbers Help quick!
xxTIMURxx [149]

you can use the numbers 3, 4, 5, 2, 6, 7, and 14. You can multiply 3 times 280 to get 840, 210 times 4 to get 840, 5 times  168 to get 840, 2 times 420 to get 840, 140 times 6 to get 840, 7 times 120 to get 840, and 14 times 60 to get 840.

7 0
3 years ago
What is the measure of B (2n + 15) and D (3n - 5)? If ABCD is a parrallelogram
katovenus [111]

Answer : The value of angle B and angle D is 25⁰ and 35⁰ respectively.

Step-by-step explanation :

As we know that the opposite angles are equal in parallelogram.

According to the given figure,

∠A = ∠C

and

∠B = ∠D

Given:

∠B = (3n - 5)⁰

∠D = (2n + 15)⁰

From this we conclude that:

∠B = ∠D

(3n - 5)⁰ = (2n + 15)⁰

3n - 5⁰ = 2n + 15⁰

3n - 2n = 15⁰ - 5⁰

1n = 10⁰

n = 10⁰

∠B = (3n - 5)⁰ = (3×10 - 5)⁰ = 25⁰

∠D = (2n + 15)⁰ = (2×10 + 15)⁰ = 35⁰

Therefore, the value of angle B and angle D is 25⁰ and 35⁰ respectively.

5 0
3 years ago
Write the following expression in simplest form: 2y+X+4+7x+3y+4*
tiny-mole [99]
2y+X+4+7x+3y+4* in simplest form is:
8x+5y+8
7 0
3 years ago
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