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bezimeni [28]
3 years ago
9

Please draw out the answer to the following questions please ( tap on the pic to see the whole thing)

Mathematics
1 answer:
andrew11 [14]3 years ago
6 0

These are the probabilities of each event

  • Flipping tails on each coin has a probability of 1/2, so the probability of 4 consecutive tails is \left(\frac{1}{2}\right)^4 = \frac{1}{16}
  • If there is a winning option out of four, there are three losing options. So, the chance of picking a wrong option is \frac{3}{4}
  • You are already given the probability of C, so we just record it: 0.6 = \frac{3}{5}
  • You can't roll a 7 on a standard die, so the probability is 0
  • Assuming a baby can be born on any day with the same probability, there is a \frac{2}{7} probability he's born on a weekend, since there are two weekend days out of 7 in a week
  • There are 4 aces out of 52 cards in a standard deck, so the probability of picking an ace is \frac{4}{52}=\frac{1}{13}
  • The sun will pretty surely rise tomorrow, so its probability is 1
  • This is quite ambiguous, since it's not a sentence that can be rigorously defined. The probability is surely high, since summer days are tipically hot, but how can we give an exact probability? What's the treshold for being hot?
  • A standard die has three even numbers (2,4,6) and three odd numbers (1,3,5). So, there is a probability of \frac{3}{6}=\frac{1}{2} to roll an odd number
  • Flipping two coins you can have the following outcomes: HH, HT, TH, TT. So, 3 times out of 4 you have at least one head, so the probability is \frac{3}{4}

So, if you order this probabilities, you have your scale

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One number is 9 more than another. if the sum of the two numbers is 171, find the two numbers
allochka39001 [22]
Let x be the 1st number
x + 9 be the second number

Equation:
x + x+9 = 171

Solution:
2x + 9 = 171
2x = 171 - 9
2x = 162
x = 81
x + 9 = 90

81 + 90 = 171
4 0
3 years ago
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
2 years ago
How do you convert how do you convert centimeters to inches
balu736 [363]

In order to convert centimeters to inches, you use the following equation:

1 inches = 2.54 cm

If you have to convert, for example, 4 inches, you proceed as follow:

4 inches* (2.54cm/1 inches) = 10.16 cm

That is, you multiply the quantity that you want to convert, by the quotient between 2.54cm and 1 inches.

6 0
11 months ago
A bookstore had 64 copies of a magazine. Yesterday, it sold 1/4 of them. Today, it sold 1/8 of what remained. How many copies do
just olya [345]

Answer: 42

Step-by-step explanation:

if the bookstore has 64 copies,

yesterday it was sold 1/4 , so it was sold 64/4=16

today it was sold 1/8 from what remained, which is 6(see below)

64-16=48

48/8=6

the store has left 48-6=42

6 0
3 years ago
A number plus 16 times its reciprocal equals 4. Find all possible values for the number.(My question was not answered correctly
Gwar [14]

Answer:

-8±√17 and -8±6√2

Step-by-step explanation:

1. x+16/x=4, x^2+16-4x=0. x=-8±√17

2. x+16/x=8, x^2+16-8=0. x=-8±6√2

6 0
2 years ago
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