Do the equations 5y-2=18 and 6x=-4y-10 form a system of linear equations?

Age (years) Population Under 15 2600 15 - 64 16000 Over 64 4000 Calculate the child dependency ratio from the chart above. Round

Brums [2.3K]

Answer:

16.25%

=0.163 (correct to 3 decimal places)

Step-by-step explanation:

The child dependency ratio of a population is defined as the number of children (Under 15 years) divided by the working-age population (15–64 years old).

$\mathrm{ Child}\;\mathrm{ dependency}\;\mathrm{ ratio}=\dfrac{{\mathrm{ Population}\,\left( \text{Under 15} \right)}}{{\mathrm{ Population}\,\left( {15-64} \right)}}\times 100$

From the given table:

Population Under 15 years = 2600

Population of the working class (between 15-64) = 16000

Therefore:

$\mathrm{ Child}\;\mathrm{ dependency}\;\mathrm{ ratio}=\dfrac{2600}{16000}\times 100\\\\=16.25\%$

=0.163 (correct to 3 decimal places)

3 0

3 years ago

A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas

WITCHER [35]

Answer:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

$P(A) = 0.8, P(B) = 0.2$

We are assuming that the two events are independent so then we have the following propert:

$P(A \cap B ) = P(A) * P(B)$

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

$P(B' \cup A')$

And using the De Morgan laws we know that:

$(A \cap B)' = A' \cup B'$

So then we can write the probability like this:

$P(B' \cup A') = P((A \cap B)')$

And using the complement rule we can do this:

$P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)$

Since A and B are independent we have:

$P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32$

And then our final answer would be:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

5 0

3 years ago

Plz some one calculate this equation for me and tell me the answer<br><br> Thank you

aalyn [17]

Simplify Expression: -363836.36

5 0

3 years ago

If the base price of a concert ticket ticket is $30 and the handling the change is 15% is added to the brace what is the total c

mel-nik [20]

Answer: $34.50

Step-by-step explanation:

Based on the information given in the question, since the base price of a concert ticket ticket is $30 and the handling the change is 15% is added to the brace, then the total cost of the ticket will be calculated thus:

= $30 + (15% × $30)

= $30 + (0.15 × $30)

= $30 + $4.5

= $34.5

Therefore, the total cost of the ticket is $34.50

7 0

3 years ago

The trapezoid did a reflect transformation

photoshop1234 [79]

Answer:

point E would go from (2,-4) to (-2,-4)

Step-by-step explanation:

your question was...

The trapezoid did a reflect transformation

1 point

Triangle EFG is located at: E (2,-4), F (2,0), and G (8,0). Where will point E'

be located if the triangle is reflected in the y-axis? *

6 0

3 years ago