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12345 [234]
3 years ago
13

Let u = <3, -1>, v = <-6, -6>. Find 9u + 2v.

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0
9u means you're multiplying 9 into that vector, both components.  Same with the 2v.  9*3 = 27 and 9*-1 = -9, so your new vector u is <27, -9>.  Now let's do v.  2* -6 (twice) = -12, so your new v vector is <-12, -12>.  Add those together now, first components of each and second components of each.  27 + (-12) = 15; -9+(-12)=-21.  So the addition of those gives us a final vector with a displacement of <15, -21>
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200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students
dedylja [7]

Answer:

  • <u><em>P(M) = 0.4</em></u>

Explanation:

<u>1. Build a two-way frequency table:</u>

To have a complete understanding of the scenary build a two-way frequency table.

  • <u>Column and rows:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total

  • <u>200 students:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                                                                                      200

  • <u>80 plan to major in mathematics:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                              80                                                   200

  • <u>100 plan to major in computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                                                                           100

No major in CS

Total                              80                                                   200

  • <u>30 plan to pursue a double major in mathematics and computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                  30                                                      100

No major in CS

Total                              80                                                    200

  • <u>Complete the missing numbers by subtraction</u>:

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS                                                                     100

Total                              80                             120                200

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS             50                              50                 100

Total                              80                             120                200

<u>2. What is P(M), the probability that a student plans to major in mathematics?</u>

  • P(M) = number of students who plan to major in mathematics / number of students

  • P(M) = 80 / 200 = 0.4
5 0
4 years ago
20% tip on a bill of $15.33
GalinKa [24]

Answer:

tip = 3.07

final bill = 18.40

Step-by-step explanation:

To find the tip, we take the percent times the bill

tip = 20% * 15.33

     .20 *15.33

    3.066

Rounding to the nearest cent

   3.07

The final bill is the tip plus the bill

final bill = 15.33+3.07

18.40

4 0
4 years ago
Read 2 more answers
-7(6m+ 2) = -308 showing work
stiv31 [10]
<h3>\sf\purple{m\:=\:7} ✅</h3><h3><u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:</h3>

- 7(6m + 2) =  - 308 \\  ➪ \:   - 42m - 14 =  - 308 \\  ➪   \: - 42m \:   = - 308 + 14 \\  ➪ \:  m =   \frac{ - 294}{ - 42}  \\  ➪  \: m \:  =  7

<h3><u>To </u><u>verify</u>:-</h3>

- 7(6 \times 7 + 2) =  - 308 \\ ➵ - \:  7(42 + 2) = -  308 \\ ➵ \:  - 7 \times 44 =  - 308  \\ ➵ \:  - 308 =  - 308

➵ L. H. S. = R. H. S.

Hence verified. ✔

\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘

7 0
4 years ago
Help ASAP please !!
nignag [31]

Option 4

Answered by Gauthmath must click thanks and mark brainliest

7 0
4 years ago
Wally had two more marbled than ashan and together they have 88 marbles how many marbles does ashan have
labwork [276]
Represent as
w=wally
a=ashan
so wally has 2 more marbles than ashan
w=2+a

together they have 88
w+a=88

since w=2+a, subsitute (2+a) for w in the w+a=88 equation
2+a+a=88
add like terms
2+2a=88
subtract 2 from both sides
2a=86
divide by 2
a=43

ashan has 43 marbles
5 0
4 years ago
Read 2 more answers
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