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Studentka2010 [4]
3 years ago
10

Please help I will give points

Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

1/40

Step-by-step explanation:

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How do i figure out these problems ?
Andreyy89

Given two vectors

v=(a,b),\quad w=(c,d)

they are parallel if they are a multiple of each other:

c=ka,\quad d=kb

You can easily test this by checking if

\dfrac{c}{a}=\dfrac{d}{b}

they are orthogonal if their dot product is null:

v\cdot w=ac+bd=0

For example, in the first case, we have

\dfrac{10}{3}\div 2 \neq \dfrac{4}{3}\div 5

So, they aren't parallel. Similarly, you have

2\cdot \dfrac{10}{3}+5\cdot \dfrac{4}{3}\neq 0

So, they aren't orthogonal.

In the second case, we have

\dfrac{5}{-12}\neq \dfrac{-6}{-10}

So, they aren't parallel, and

5(-12)+(-6)(-10)=-60+60=0

So, they are orthogonal.

Finally, we have

\dfrac{2}{-4}=\dfrac{-7}{14}=-\dfrac{1}{2}

So, they are parallel (and thus can't be orthogonal)

7 0
3 years ago
the table shows the ratio between the number of books ordered and their cost. 7,14 8,16 9,18. find equivalent ratios when the nu
Nadya [2.5K]

Answer:

Number of Books. Cost (dollars). 7 14. 8 16. 9 18. Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form...

8 0
3 years ago
Hare $50 among Terry, Leroy and Johnson in the ratio 1:3:6. How much money does Johnson get? 1 point
nlexa [21]

Answer:

His share is $30

Step-by-step explanation:

Here, we are interested in knowing the amount of money that Johnson get.

From the ratio, we can see that Johnson’s ratio is the largest at 6

so to calculate his share of the $50, we add all the ratios together = 1 + 3 + 6 = 10

Now his share would be his ratio over the total * 50

= 6/10 * 50 = $30

7 0
3 years ago
The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the act
cluponka [151]

Answer: 0.3061.

Step-by-step explanation:

Given : The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean \mu, the actual temperature of the medium, and standard deviation \sigma.

Let X be the random variable that represents the reading of the thermometer.

Confidence level : =95\%

We know that the z-value for 95% confidence interval is 1.96.

Then, we have

-1.96      z=\dfrac{X-\mu}{\sigma}

\Rightarrow\ -1.96\sigma  

But all readings are within 0.6° of \mu.

So, 1.96\sigma=0.6  

\Rightarrow\ \sigma=\dfrac{0.6}{1.96}=0.30612244898\approx0.3061

Hence, the required standard deviation will be  

7 0
3 years ago
Please, help me with this!
kow [346]

Answer:

A x  ≤ 17/2

Step-by-step explanation:

(2x+7) /-4 ≥ -6

Multiply each side by -4, remembering to flip the inequality

(2x+7) /-4 *-4 ≤ -6*-4

2x+7 ≤ 24

Subtract 7 from each side

2x+7-7  ≤ 24-7

2x  ≤ 17

Divide each side by 2

2x/2  ≤ 17/2

x  ≤ 17/2

3 0
3 years ago
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