Answer:
1/32
Step-by-step explanation:
Since we want to find the probability that all five coins land on heads, we must first find the total number of possibilities. Since there are 2 choices for each coin to land on, heads or tails, the total number of possibilities is 2^5 = 32.
Since there is only one way to to land on all heads, the probability is 1/32.
<em>Answer:</em>
<em>22,35 £</em>
<em>Step-by-step explanation:</em>
<em>How much does each ticket cost ?</em>
<em>134,10 : 6 = 22,35 £</em>
<em />
<em>134,10 : 6 = 22,35</em>
<em>12</em>
<em>___</em>
<em>= 14</em>
<em> 12</em>
<em> ___</em>
<em> =21</em>
<em> 18</em>
<em> ___</em>
<em> = 30</em>
<em> 30</em>
<em> ___</em>
<em> = = </em>
Answer:
A)1050
B)8050
Step-by-step explanation:
to find interest we use the formula A= P(1+rt) where P is the initial investment, r is the rate percent, and t is the time interval
for this question we have A=7000(1+3(5)) which gives 8,050 dollars which is the answer to part B
for part A we simply subtract the answer from B from the initial investment so 8050 - 7000 = 1050 made from interest
Answer:
X=6
Step-by-step explanation:
5(x-1)+3x=7(x+1)
5x-5+3x=7x+1
8x-5=7x+1
8x-7x=1+5
X=6
So the answer is X=6
By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.
<h3>How to estimate a definite integral by numerical methods</h3>
In this problem we must make use of Euler's method to estimate the upper bound of a <em>definite</em> integral. Euler's method is a <em>multi-step</em> method, related to Runge-Kutta methods, used to estimate <em>integral</em> values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:
∫ f(x) dx = F(b) - F(a) (1)
The steps of Euler's method are summarized below:
- Define the function seen in the statement by the label f(x₀, y₀).
- Determine the different variables by the following formulas:
xₙ₊₁ = xₙ + (n + 1) · Δx (2)
yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ) (3) - Find the integral.
The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the <em>numerical</em> approximation of the <em>definite</em> integral is:
y(4) ≈ 4.189 648 - 0
y(4) ≈ 4.189 648
By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.
To learn more on Euler's method: brainly.com/question/16807646
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