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ohaa [14]
3 years ago
14

Evaluate the dot product of (5,7) and (-8,2)

Mathematics
2 answers:
Viefleur [7K]3 years ago
6 0
You have to multiple and then add to get
(5)(-8)+(7)(2)=-26
seraphim [82]3 years ago
6 0

Answer:

A=Point (5,7) when represented in terms of vector = 5 i + 7 j

B=Point (-8,2) ,when represented in terms of vector = -8 i + 2 j

Dot Product of two vectors = A.B

Keep in mind

1.⇒i.i=1, j.j=1,i.j=j.i=0

2.Dot product of two vectors is Scalar Quantity.

So,→ A. B= (5 i + 7 j) . (-8 i +2 j)

       = 5 × -8 +7 × 2

         = -40 +14

        = -26

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It takes Maya 30 minutes to solve 5 logic puzzles and it takes Amy 28 minutes to solve 4 logic puzzles use models to show the ra
Contact [7]

Answer:

MAYA (6 minutes)

Amy (7 minutes)

Step-by-step explanation:

MAYA

Takes Maya 30 minutes to solve 5 Puzzle:

Let's express it as,

30 mins = 5 Puzzle

1 min = x Puzzle

Cross multiply to solve for the number of questions Maya solves in a minute.

It becomes:

30*x = 5*1

30x = 5

x = 30/5

x = 6mins.

It means it takes Maya 6 mins to solve one question.

FOR AMY

Takes Amy 28 mins to solve 4 puzzles.

Let's represent it as:

28 mins = 4 Puzzles

x min = 1 puzzle

Let's solve for x

(28 mins) * (1 puzzle) = 4 * x

28 = 4x

x = 28/4

x = 7 mins

It means, it takes Amy 7 minutes to solve 1 puzzle

3 0
3 years ago
Read 2 more answers
Can someone pls help
Luba_88 [7]
I believe the correct answer would be 5,1,3 :)
3 0
2 years ago
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Anyone know this please ;)
PIT_PIT [208]

Answer:

The planet to have the biggest mass is Jupiter

the radius of mercury is 2.44 × 10^5

the difference in mass between Jupiter and Saturn is 2.2 × 10⁴

3 0
3 years ago
Seth goes to the farmers' market every month to buy some of Ms. Wells's homemade jam. The jam costs $5 per jar. Last weekend, Ms
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Answer:

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Step-by-step explanation:

4 0
3 years ago
A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probabili
Sholpan [36]

Answer and explanation:

Given : A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 ​(inclusive) mistakes is 0.53.

Let X be the number of mistake

P(X

P(6\leq X\leq 20)=0.53

To find : The probability of each of the following outcomes.

a) A student makes more than 20 mistakes

i.e. P(X>20)

P(X>20)=1-P(X\leq 20)

P(X>20)=1-(P(X\leq 5)+P(6\leq X\leq 20))

P(X>20)=1-(0.26+0.53)

P(X>20)=1-(0.79)

P(X>20)=0.21

b. A student makes 6 or more mistakes

i.e. P(X\geq 6)=1-P(X

P(X\geq 6)=1-0.26

P(X\geq 6)=0.74

c. A student makes at most 20 mistakes

i.e. P(X\leq 20)=1-P(X>20)

Using 'a' part  P(X>20)=0.21

P(X\leq 20)=1-0.21

P(X\leq 20)=0.79

d. Which two of these three events are​ complementary?

The complement of an event happening is the exact opposite: the probability of it not happening.

According to definition,

Option a and c are complementary events.

6 0
3 years ago
Read 2 more answers
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