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A five-digit number starts with a number between 2-9 in the first position, with no restrictions on the remaining 4 digits. a right parenthesis Find the probability that a randomly-chosen phone number contains all different digits. b right parenthesis Find the probability that a randomly-chosen phone number contains at least one repeated digit. Question content area bottom Part 1 a) Write an expression that models the probability. Select the correct choice below and fill in the answer box(es) within your choice. (Type whole numbers.) A.StartFraction nothing times Subscript nothing Baseline Upper P 4 Over nothing times 10 Superscript 4 EndFraction StartFraction nothing times Subscript nothing Baseline Upper P 4 Over nothing times 10 Superscript 4 EndFraction B.StartFraction 1 Over nothing times 10 Superscript 4 EndFraction StartFraction 1 Over nothing times 10 Superscript 4 EndFraction C.StartFraction 1 Over nothing times Subscript nothing Baseline Upper P 4 EndFraction StartFraction 1 Over nothing times Subscript nothing Baseline Upper P 4 EndFraction D.StartFraction nothing times 10 Superscript 4 Over nothing times Subscript nothing Baseline Upper P 4 EndFraction StartFraction nothing times 10 Superscript 4 Over nothing times Subscript nothing Baseline Upper P 4 EndFraction Part 2 The probability that a randomly-chosen number contains all different digits is enter your response here. (Round to four decimal places as needed.) Part 3 b) The probability that a randomly-chosen number contains at least one repeated digit is enter your response here.

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A plane electromagnetic wave travels through vacuum. It has a frequency of f = 700 [THz] and its electric field is described by the following function E⃗ = 0.3 cos(ky − ωt) ˆz. a) What is the Wavelength

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Among scientists, the general consensus is that the complexity of an ecosystem derives from its natural capital. O True O False

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Now consider a market equilibrium with price p₁ = $16 and quantity sold q1 = 69. Imagine that a supply shock shifts the market to a new equilibrium with price p2 = $12 and quantity sold q2 = 92. What is the price elasticity of demand here? Round your answer to one decimal place (e.g., 2.14 rounds down to 2.1 and 2.15 rounds up to 2.2). Report your answer as a positive number. Why do we do this?

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Systemic effects of severe inflammation include: A) redness and warmth B) loss of movement at the affected joint C) abscess formation D) leukocytosis

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PFK1 is classified as a transferase. Question 12 options: a) True b) False

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According to Halualani, power is material in that: a. it is invisible and hidden b. it distributes power in a way that results in concrete, tangible consequences for us c. is pervasive in our lives d. allows us to challenge dominated structures and conditions

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Women who attended the 1969 Chicano Youth Liberation Conference held in Denver, Colorado by Rodolfo "Corky" Gonzales and the Crusade for Justice began to protest.

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The tails of the phospholipids of the plasma membrane are composed of [Select] and are [Select]

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3. Suppose we want to loosen the constraints 2 and 3 (no assignment can count too much or too little) by the following ones: 2'. no two assignment weights can sum up to less than $2l = 0.1$ (so this allows a joker); 3'. no two assignment weights can sum up to more than $2u = 0.5$. Write and solve the corresponding problem as above. Does-it make a big difference in terms of final result?

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megan s.