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NeTakaya
2 years ago
8

Find the determinant of the matrix.

Mathematics
1 answer:
Natalka [10]2 years ago
8 0

Answer:

0

Step-by-step explanation:

\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc

0(4)-4(0) = 0

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A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m
arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, <em>p</em> = 0.13.

The sample of employed individuals selected is of size, <em>n</em> = 225.

An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

  • np ≥ 10
  • n (1 - p) ≥ 10

Check the conditions as follows:

np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10

The distribution of the proportion of individuals who hold multiple jobs is,

p\sim N(p, \frac{p(1-p)}{n})

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0
3 years ago
Can you solve 5a please greatly appreciated.
timurjin [86]
Part I)
 
The module of vector AB is given by:
 lABl = root ((- 3) ^ 2 + (4) ^ 2)
 lABl = root (9 + 16)
 lABl = root (25)
 lABl = 5

 Part (ii)
 The module of the EF vector is given by:
 lEFl = root ((5) ^ 2 + (e) ^ 2)
 We have to:
 lEFl = 3lABl
 Thus:
 root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
 root ((5) ^ 2 + (e) ^ 2) = 15
 Clearing e have:
 (5) ^ 2 + (e) ^ 2 = 15 ^ 2
 (e) ^ 2 = 15 ^ 2 - 5 ^ 2
 e = root (200)
 e = root (2 * 100)
 e = 10 * root (2)
3 0
3 years ago
A rectangle has a 15 to 20. Identify the ratio.
marishachu [46]

Answer:

15:20

15/20

15 to 20

there are 3 types of ways and there you go.

Step-by-step explanation:

have a great day ! :)

5 0
3 years ago
Read 2 more answers
What does 6•7-27•9+64=
Natali [406]

Hi!

6*7-27*9+64

42-27*9+64

42-243+64

Answer---->=-137

Explanation: <u><em>This question is super super easy to me. This question is about how to use their order of operations the math problems. First you had  to used PEMDAS stands for P-Parenthesis first, E-Exponents second, M-Multiply third, D-Divide fourth, A-Add fifth, and S-Subtract sixth.  Then multiply and divide from left to right  with 6*7=42. Then 27*9=243,42-243+64, and add or subtract from left to right with 42-243+64=-137 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie</em></u>

4 0
2 years ago
Kevin needs 1,000 ribbons for a school event. Each ribbon has to be 2.25 feet long. Tell how Kevin can use a pattern to find how
marysya [2.9K]
2.25 x 1000 = 2250.

That's how much yds of ribbons he needs.
7 0
3 years ago
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