New York University

Math - Others

Basic Math Solutions

The minimum SOP form of the following function F = xy +z is (a)xy+xz+x'y'z' (b)xyz'+xy'z+x'yz+x'y'z' (c)xyz+xy'z'+x'yz'+x'y'z (d)xz+yz+x'y'z'

Statistics

Statistics Solutions

Many people believe that the average number of Facebook friends is 130. The population standard deviation is 38.2. A random sample of 50 high school students in a particular county revealed that the average number of Facebook friends was 162. At a 0.05, is there sufficient evidence to conclude that the mean number of friends is lesser than 130? (A)z - test, left tailed (B)t-test, left tailed (C)z-test, right tailed (D) t-test, right tailed

Statistics

Statistics Solutions

The mean for the number of weeks 15 New York Times hardcover fiction books spent on the bestseller list is 22 weeks. The standard deviation is 6.17 weeks. The mean for the number of weeks 15 New York Times hardcover nonfiction books spent on the list is 28 weeks. The standard deviation is 13.2 weeks. At an a = 0.10, can we conclude that there is a difference in the mean times for the number of weeks the books were on the bestseller lists? What is the type of test to be used? (a)z-test, right tailed (b)t-test, right tailed (c)z-test, left tailed (d) t-test, two tailed (e)t-test, left tailed (f)z-test, two tailed

Statistics

Statistics Solutions

A U.S. Web Usage Snapshot indicated a monthly average of 42.1 Internet visits per user from home. A random sample of 18 Internet users yielded a sample mean of 36 visits with a standard deviation of 5.3. At the 0.01 level of significance, can it be concluded that this differs from the national average? What is the type of test to be used? A t-test, two tailed B z - test, two tailed C t-test, one tailed D z- test, one tailed

Statistics

Statistics Solutions

Approximately 75% of the U.S. population recycles. According to a green survey of a random sample of 283 college students, 211 said that they recycled. At 0.01 level of significance, is there sufficient evidence to conclude that the proportion of college students who recycle is greater than 75%? Find the test statistic. Round your answer to 2 decimal places.

Statistics

Statistics Solutions

Determine the level of confidence given the confidence coefficient z(α/2) for z(α/2)

Math - Others

Basic Math Solutions

Find anth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility use it to graph the function and verify the real zeros and given function when n=4 -1,3 and 4+2i are zeros f(1)=-52 f(x)=_____ (Type an expression using x as the variable Simplify your answer)

Algebra

Complex numbers Solutions

__________ The minimum SOP form of the following function F = (x⊕y +z)' is O xy+xz+x'y'z' O xyz'+xy'z+x'yz+x'y'z' O xyz+xy'z'+x'yz'+x'y'z O xz+yz+x'y'z'

Algebra

Matrices & Determinants Solutions

For which values of the parameter a ∈ R the following real quadratic form is positive definite f(x, y, z) = x² + 2xy + 2xy + 2y² + 2ayz +5z²

Math - Others

Functions Solutions

(1) Prove that the sum of two bilinear forms is a bilinear form. (2) Prove that the product of a scalar and a bilinear form is a bilinear form.

Math - Others

Functions Solutions

(1) Let X₁ be a closed subspace and X₂ be a finite dimensional subspace of a normed space X. Then X₁ + X₂ is closed in X. (2) Let X be a normed space such that U(0,1) is totally bounded. Then X is finite dimensional. PROVE BOTH

Statistics

Probability Solutions

For Roulette, find the expected value of a $1000 wager on a 5-number bet (a bet that covers 5 numbers). Payout for a 5-number bet is 6:1.