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4 years ago

The dot product of u with itself is 12. What is the magnitude of u?

1 answer:

5 0

Dot product is
a*b = |a|*|b|*cosα.
In our case
u*u =|u|*|u|*cos 0
u*u =|u|*|u|
12=|u|²
|u|=√12=√(4*3)=2√3
Answer: D. 2√3

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Emma buys a softball that is 70% off. If the original price is $30, how much does Emma pay?

Korvikt [17]

Answer:

Explanation:

First, we need to find 70% of the original price of $30 using the following equation:

$\text{ \$30 }\times70\text{ \% = \$30 }\times\frac{70}{100}=\text{ \$21}$

It means that Emma pays $21 less than the original price. So, she pays:

$30 - $21 = $9

Therefore, the answer is $9

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2 years ago

A new test to detect TB has been designed. It is estimated that 88% of people taking this test have the disease. The test detect

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Answer:

Correct option: (a) 0.1452

Step-by-step explanation:

The new test designed for detecting TB is being analysed.

Denote the events as follows:

D = a person has the disease

X = the test is positive.

The information provided is:

$P(D)=0.88\\P(X|D)=0.97\\P(X^{c}|D^{c})=0.99$

Compute the probability that a person does not have the disease as follows:

$P(D^{c})=1-P(D)=1-0.88=0.12$

The probability of a person not having the disease is 0.12.

Compute the probability that a randomly selected person is tested negative but does have the disease as follows:

$P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264$

Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:

$P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188$

Compute the probability that a randomly selected person is tested negative as follows:

$P(X^{c})=P(X^{c}\cap D)+P(X^{c}\cap D^{c})$

$=0.0264+0.1188\\=0.1452$

Thus, the probability of the test indicating that the person does not have the disease is 0.1452.

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3 years ago

Brynne has 13 books she has 8 more books than games how many game does Brynne have

vagabundo [1.1K]

Answer:

Step-by-step explanation:

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3 years ago

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A shirt is on sale for 30% off. The original price is $26.98. What is the sale price?

Goshia [24]

100% - 30% = 70%

The shirt is selling for 70% of the original price.

Multiply the original price by 70%

26.98 x 0.70 = 18.89

The sale price is $18.89

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3 years ago

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What is the rate of change from 1 to 3

lana [24]

The rate of change is (amount of the change) / (time it took to change) .

Amount of the change = (3 - 1) = 2 .

Rate of change = (2) / (time it took to change from 1 to 3) .

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3 years ago