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2 years ago

Find a ⋅ b. a = 9i + 5j, b = 4i + 3j

Mathematics

2 answers:

aksik [14]2 years ago

4 0

Answer:

Step-by-step explanation:

<13, 8>

<36, 15>

-21

N76 [4]2 years ago

3 0

9i+5j x 4i+3j
Factor
=9i+20ij+3j
= (9+20j)i+3j
=3j+(9+20j)i =answer

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Shiny White dental insurance costs $258 per year. Approximately one-third of insured people need a filling, which averages $110

sveta [45]

Answer:

about $145.33

Step-by-step explanation:

Consider a group of 15 customers. They will pay ...

15 × $258 = $3870

in premiums each year.

One-third of those, 5 customers, will submit claims for fillings, so will cost the insurance company ...

5 × $110 = $550

And 80% of them, 12 customers, will submit claims for preventive check-ups, so will cost the company ...

12 × $95 = $1140

The net income from these 15 customers will be ...

$3870 -550 -1140 = $2180

Then the average income per customer is this value divided by the 15 customers in the group:

$2180/15 = $145.33

_____

<em>Alternate solution</em>

Above, we chose a number of customers that made 1/3 of them and 4/5 of them be whole numbers. You can also work with one premium and the probability of a claim:

258 - (1/3)·110 - 0.80·95 = 145.33

8 0

3 years ago

Read 2 more answers

Mr. D’Alton made some radium in his lab. He used kg of the radium every time he 5 2ran his experiment. If he did the experiment

Usimov [2.4K]

Answer:

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3 years ago

Subtract - 7x2 + 1 from – 2x2 - 4x.

Black_prince [1.1K]

Answer:

11-4x

Step-by-step explanation:

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3 years ago

Find the measure of the indicated angle to the nearest degree

hjlf

Answer:

28°

Step-by-step explanation:

sin ? = 19/41

? = arcsin (19/41)

? = 28° (rounded to the nearest degree)

Answered by GAUTHMATH

8 0

2 years ago

A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person si

Leokris [45]

Answer:

(a) P(A) = 0.34

(b) P(B) = 0.33

(c) P(C) = 0.33

(d) The Complement of event A = 1 - P(A) = 0.66

Step-by-step explanation:

We are given that in the long run, roommate A chooses rock 36% of the time, and roommate B chooses rock 22% of the time; roommate A selects paper 32% of the time, and roommate B selects paper 25% of the time; roommate A chooses scissors 32% of the time, and roommate B chooses scissors 53% of the time.

Let the probability that roommate A chooses rock = P( $R_A$ ) = 0.36

The probability that roommate A chooses paper = P( $P_A$ ) = 0.32

The probability that roommate A chooses scissors = P( $S_A$ ) = 0.32

The probability that roommate B chooses rock = P( $R_B$ ) = 0.22

The probability that roommate B chooses paper = P( $P_B$ ) = 0.25

The probability that roommate B chooses scissors = P( $S_B$ ) = 0.53

(a) Let A = event that roommate A wins the game and thus does not have to wash the dishes.

This will happen only when roommate A chooses rock and roommate B chooses scissors or roommate A chooses paper and roommate B chooses rock or roommate A chooses scissors and roommate B chooses paper.

So, P(A) = $P(R_A) \times P(S_B) + P(P_A) \times P(R_B) + P(S_A) \times P(P_B)$

= (0.36 $\times$ 0.53) + (0.32 $\times$ 0.22) + (0.32 $\times$ 0.25)

= 0.1908 + 0.0704 + 0.08

P(A) = 0.34

(b) Let B = event that roommate B wins the game and thus does not have to wash the dishes.

This will happen only when roommate B chooses rock and roommate A chooses scissors or roommate B chooses paper and roommate A chooses rock or roommate B chooses scissors and roommate A chooses paper.

So, P(B) = $P(R_B) \times P(S_A) + P(P_B) \times P(R_A) + P(S_B) \times P(P_A)$

= (0.22 $\times$ 0.32) + (0.25 $\times$ 0.36) + (0.53 $\times$ 0.32)

= 0.0704 + 0.09 + 0.1696

P(B) = 0.33

(c) Let C = event that the game ends in a tie.

This will happen only when roommate A chooses rock and roommate B also chooses rock or roommate A chooses paper and roommate B also chooses paper or roommate A chooses scissors and roommate B also chooses scissors.

So, P(C) = $P(R_A) \times P(R_B) + P(P_A) \times P(P_B) + P(S_A) \times P(S_B)$

= (0.36 $\times$ 0.22) + (0.32 $\times$ 0.25) + (0.32 $\times$ 0.53)

= 0.0792 + 0.08 + 0.1696

P(C) = 0.3288 ≈ 0.33

(d) The complement of event A = P(A') = 1 - P(A)

= 1 - 0.34 = 0.66.

4 0

3 years ago