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(a)At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts?A binomial experiment has a fixed number of independent trials and only two possible outcomes. Recall that the binomial distribution with parameters n, p, and r gives the probability distribution of the number of r successes in a sequence of n trials, each of which yields success with probability p.Each person at the meeting may or may not be found to be an extrovert. Since the meeting of marketing personnel has 15 people, the number of trials is n = 15 Correct: Your answer is correct. ."Success" here can be defined as finding an extrovert. It is given that approximately 70% of all marketing personnel are extroverts, so each person at the meeting has a 70% chance of being an extrovert. Therefore, p =

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Solve for $ x $. \[ \log _{2}(4 x-8)=3 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $ x= $ $ \square $ . (Type an exact answer in simplified form. Use a comma to separate answers as needed.) B. The solution is not a real number.

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A uniform electric field in a particular region of space is given by $$E = A\hat{z} + B\hat{y}$$, where A and B are positive constants. What is the magnitude of the potential difference between the origin and the point z = z0? $\Delta V = 0$ $\Delta V = Az_0$ $\Delta V = Bz_0$ $\Delta V = (A + B)z_0$ $\Delta V = ABz_0$

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2) Calculate the final volume of one mole of an ideal gas initially at 0^∘C and 1 atm pressure if it absorbs 1000 cal of heat during a reversible isothermal expansion.

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The actual weights of 10 ounce cereal boxes is found to be a normal distribution with a mean weight of 9.54 ounces and a standard deviation of 0.03 ounces. Suppose 100 cereal boxes were randomly selected. Find the probability that the sample mean weight of these 100 boxes falls between L and 9.54 where L = 9.54- 0.15*0.03.

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Evaluate the integral. (Use C for the constant of integration.) $\int \sqrt{\cos(\theta)} \sin^3(\theta) \,d\theta$

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Q.4 Sketch the graph of y = 3x and y = 2(3)x+3 on the same coordinate plane. Identify each y- intercept, horizontal asymptote, base, exponent, domain, and range. Q.5 The dimensions of a rectangle are 2x + 1 and x - 1. If each dimension increased by 2 units, write and simplify an expression that represents the increase in area. Determine the area if x = 2. Q.6 The number of bacteria in a culture is doubling every 3.75h. How long will it take for the number of bacteria to increase from 30, 000 to 7,680,000? Q.7 The symphony orchestra is holding a fundraising banquet in a hotel. The hotel charges $200 for the banquet hall, plus $60 per person. Tickets are $100 each. How many tickets must be sold to raise more than $10,000?

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? Moving to the next question prevents changes to this answer. Question 1 Adolescents, criminals, and men in problematic relationships would benefit from Motivational Interviewing Rational Emotive Therapy Rational Emotive Behavior Therapy Cognitive Therapy Shaping ?? Moving to the next question prevents changes to this answer.

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Rigid bar ABC is supported by pin-connected axial member (1) and by a 0.75-in.-diameter double shear pin connection at C as shown Member (1) is a 2.75-in.-wide by 1.25-in.-thick rectangular bar made of aluminum with an elastic modulus of 10,000 ksi. When a concentrated load P is applied to the rigid bar at A, the normal strain in member (1) is measured as $-880 \mu$. Determine: (a) the magnitude of applied load P. (b) the average shear stress in the pin at C.

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Approximately __ % of Iraq war veterans have reported symptoms of posttraumatic stress disorder. 2 5 15 25

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