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Elanso [62]
3 years ago
15

If x is a binomial random variable with n = 20, and p = 0.30, then p(x = 10) = 0.50.

Mathematics
1 answer:
meriva3 years ago
7 0
In the binomial expansion of (0.30+0.70)²⁰ the coefficient is ²⁰C₁₀=184756 for x=10 and we have 0.30¹⁰×0.70¹⁰ for the pq values where q=1-p. This comes to about 0.03. So the statement p(x=10)=0.50 is false, answer b.
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The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
sertanlavr [38]

The true statement about the function f(x) = -x² - 4x + 5 is that:

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<h3 /><h3>What is the domain and range for the function of y = f(x)?</h3>

The domain of a function is the set of given values of input for which the function is valid and true.

The range is the dependent variable of a given set of values for which the function is defined.

  • The domain of the function: f(x) = -x² - 4x + 5 are all real number from -∞ to +∞

For a parabola ax² + bx + c  with the vertex \mathbf{(x_v,y_v)}

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  • If a > 0, then the range f(x) ≥  \mathbf{y_v}
  • Here; a = -1,

The vertex for an up-down facing parabola for a function y = ax² + bx + c is:

\mathbf{x_v = -\dfrac{b}{2a}}

Thus,

  • vertex \mathbf{(x_v,y_v)} = (-2, 9)

Range: f(x) ≤ 9

Therefore, we can conclude that the range of the function is all real numbers less than or equal to 9.

Learn more about the domain and range of a function here:

brainly.com/question/26098895

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5 0
2 years ago
Y = 5-3x, Darw the graph of the function. Use the find the value of y when x=4, and when x = 5​
stellarik [79]

Answer:

The line passes through (4, -7) and (5, -10).

Step-by-step explanation:

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6 0
2 years ago
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IrinaK [193]

Answer:

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7 0
3 years ago
Convert 20 mm into km​
andrew-mc [135]

Answer:

Step-by-step explanation:

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1 mm is millionth part of 1 km

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20 mm = 0.00002 km

3 0
3 years ago
A watch cost $72.99. If the sales tax rate is 6.25% what is the amount of sales tax
katovenus [111]

Answer:

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Some calculators deal directly with percentages, so you don't even have to think about it. Your friendly, local Google search box is an excellent calculator for many purposes.

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