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3 years ago

Solve equation for a

Mathematics

1 answer:

beks73 [17]3 years ago

8 0

$\dfrac{3ax-n}{5}=-4\qquad\text{multiply both sides by 5}\\\\3ax-n=-20\qquad\text{add n to both sides}\\\\3ax=n-20\qquad\text{divide both sides by 3a}\neq0\\\\\boxed{x=\dfrac{n-20}{3a}}$

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Is figure B a scaled copy of figure A

artcher [175]

We know scale factor(k)=y/x

Calculate units as 1 and find k

For left side

$\\ \sf\longmapsto k=\dfrac{5}{3}$

For base

$\\ \sf\longmapsto k=\dfrac{4}{4}=1$

Hence its not a copy

4 0

3 years ago

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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:

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

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3 years ago

a bag contains a total of 24 red and green peppers. the probability of reaching into the bag and choosing a red pepper is 2/3. h

ExtremeBDS [4]

Answer:

16 red peppers and 8 green peppers:)

Step-by-step explanation:

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3 years ago

Which ratio is greater, 4:5 or 3:4?

Grace [21]

4:5
explanation-

Express the given ratios as fraction

4 : 5 = 4/5 and 2 : 3 =2/3

Now find the L.C.M (least common multiple) of 5 and 3

The L.C.M (least common multiple) of 5 and 3 is 15.

Making the denominator of each fraction equal to 15, we have

4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15

Clearly, 12 > 10

Now, 12/15 > 10/15

Therefore, 4 : 5 > 2 : 3.

7 0

3 years ago

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WILL GIVE BRAINLIEST! PLEASE HELP ASAP!

aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Evaluate using

PEMDAS

First we do what is inside of the Parenthesis 12 - 9 = 3

Now we have 2 + 3²

Next is Exponents 3² = 9

Now we have 2 + 9

there is no multiplication or division needed so we go straight to addition

9 + 2 = 11

So we can conclude that the answer is 11

4 0

3 years ago

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