Why didn't Gertrude go with Mr. Quinn?

Let X, the number of flaws on the surface of a randomly selected carpet of a particular type, have a Poisson distribution with parameter $\lambda=5$. Use Appendix Table A.2 to compute the following probabilities: a. $P(X \leq 8)$ b. $P(X=8)$ c. $P(9 \leq X)$ d. $P(5 \leq X \leq 8)$ e. $P(5<X<8)$

Use the change-of-base formula to evaluate the logarithm.

$$log_654/5$$

Show that $T_{n} = \frac{1}{2}n(n + 1)$ satisfies the recurrence relation.

Each individual letter of the word "mathematics" is placed on a piece of paper, and all $11$ pieces of paper are placed in a hat. If one letter is selected at random from the hat, find the probability that:

a. the letter " $\mathrm{m}$ " is selected. $\qquad$ d. the letter " $t$ " or " $h$ " is selected.

b. the letter "a" is not selected. $\qquad$ e. the letter " $o$ " is selected.

c. a vowel is selected. $\qquad$ f. the letter "u" is not selected.

Assume that a stick having a length of 3 feet is broken into two pieces and that the point at which the stick is broken is chosen in accordance with the p.d.f. $f(x)$. What is the correlation between the length of the longer piece and the length of the shorter piece?

Usa el indicativo o el subjuntivo según el sentido de la frase.

Mis padres dudaban que________________.

Which of the following is not a type of mammal tooth?

a. canine

b. baleen

c. molar

d. incisor

Simplify.

$$\frac { 2 i } { 1 + i }$$

With which elements would sodium most likely form a chemical bond? (Hint: more than one answer is possible) a. francium b. bromine c. hydrogen d. argon e. oxygen

Show that A is not Hermitian for any choice of the x's. (a)

$$A=\left[\begin{array}{ccc}{1} & {1+i} & {x} \\ {1+i} & {7} & {x} \\ {6-2 i} & { \times} & {0}\end{array}\right]$$

(b)

$$A=\left[\begin{array}{rrr}{1} & { \times} & {3+5 i} \\ { \times} & {3} & {1-i} \\ {3-5 i} & { \times} & {2+i}\end{array}\right]$$

.

What base nine numeral follows $888_{\text {ninc }}$ ?

$$\begin{array} { l } { \text { If } U \text { is a proper subspace of a finite-dimensional vector space } V , } \\ { \text { show that the dimension of } U \text { is less than the dimension of } V . } \end{array}$$

Convert the given numeral to a numeral in base 10.

$$423_{16}$$