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2 years ago

Jack runs 3 miles 4 times a week. How many miles does Jack run in 6 weeks

Mathematics

1 answer:

zmey [24]2 years ago

4 0

3 miles X 4 times a week is =12 miles a week so 12 miles X 6 =72 miles

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Express the following vector in the form v=v1i+v2j+v3k. 3u - v if u=(4,7,-3) and v=(2,-7,5).3u - v = ____ i + ____ j + _____ k.(

Alecsey [184]

Answer:

Step-by-step explanation:

Given the vectors u = (4,7,-3) and v=(2,-7,5), both vectors are 3-dimensional in nature and can also be rewritten as;

u = 4i+7j-3k and v = 2i-7j+5k

To get 3u-v, we will substitute the given vectors into the expression;

3u-v = 3(4i+7j-3k) - (2i-7j+5k)

open the parenthesis

3u-v = 12i+21j-9k - 2i + 7j - 5k

collect like terms

3u-v = (12i - 2i) + (21j + 7j) (-9k-5k)

3u - v = 10i+28j-14k

To simplify the answer, we will divide through by 2

3u - v = 10i/2+28j/2-14k/2

<em>Hence the simplified form of the expression is 5i+14j-7k</em>

3 0

3 years ago

After MM students took a test, there was a total of 64% of correct answers. If the test contains 50 questions, what is the least

Blizzard [7]

Answer:

3 Questions

Step-by-step explanation:

After MM students took a test, there was a total of 64% of correct answers.

The tests contained a total of 50 questions.

Number of questions gotten to score 64%= 64% X 50 = 32 questions

If the next student wants to score 70%, he has to score

70% of the total score = 70% X 50 = 35

Therefore the least number of question more the student has to get right

=35-32

= 3 questions

7 0

3 years ago

Read 2 more answers

Elevate 6 x when x equals 10

Vinvika [58]

6x

x=10

So replace "x" in 6x with 10 and you get,

6(10)

It can be seen as

6 x 10

and 6 x 10 is 60.

So your answer would be 6x = 6(10) = 60

6 0

3 years ago

Read 2 more answers

A travelling salesman sells milkshake mixing machines and on average sells 8.9 machines per month. He needs to sell at least 3 m

Goshia [24]

Answer:

0.67% probability he will have to shut down after this month

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

On average sells 8.9 machines per month.

So $\mu = 8.9$

Using the Poisson distribution, what is the probability he will have to shut down after this month

If he sells less than 3 machines.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-8.9}*8.9^{0}}{(0)!} = 0.0001$

$P(X = 1) = \frac{e^{-8.9}*8.9^{1}}{(1)!} = 0.0012$

$P(X = 2) = \frac{e^{-8.9}*8.9^{2}}{(2)!} = 0.0054$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0001 + 0.0012 + 0.0054 = 0.0067$

0.67% probability he will have to shut down after this month

5 0

3 years ago

Which expression is equivalent to 5^-2 x 5^5?

miskamm [114]

Answer:

5^3

Step-by-step explanation:

5^-2 * 5^5

We know that a^b * a^c = a^(b+c)

5^(-2+5)

5^3

8 0

3 years ago