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Vinvika [58]
3 years ago
7

Five less than 6 times a number plus seven

Mathematics
2 answers:
WITCHER [35]3 years ago
5 0
The Answer is: 6n-5+7
a_sh-v [17]3 years ago
4 0

Answer:

6n-5+7

6n+2 (simplified)

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How many meters equal 9/10 kilometers
netineya [11]

Answer:

900 meters

Step-by-step explanation:

0.9 kilometers = 900 meters

i think this is the answer i did it fast but i hope it helped you.

7 0
3 years ago
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Convert the following equation to Slope-Intercept Form
lisov135 [29]

y-2=x+6

Subtract 2 from each side

y=x+8

7 0
3 years ago
Imagine a pet shelter that has noticed older animals (age 5+) have lower adoption rates. This shelter (which has only cats and d
GenaCL600 [577]

Answer:

(a) The tree diagram is attached as an image

(b) P(NO ∩ D ∩ NA) = 0.27

(c) P(O ∩ C ∩ A) = 0.004

(d) P(A) = 0.438

(e) P(A|C) = 0.162

(f) P(C|A) = 0.374

Step-by-step explanation:

Let C denote cats and D denote dogs. Then,

P(C) = 40% = 0.4 and

P(D) = 60% = 0.6

Let O denote that an animal is older and NO denote that an animal is not older. Then for Cats,

P(O) = 20% = 0.2 and

P(NO) = 1 - 0.2 = 0.8

Similarly, for Dogs,

P(O) = 10% = 0.1 and

P(NO) = 1 - 0.1 = 0.9

Let A denote that an animal is adopted and NA denote that an animal is not adopted. For older cats,

P(A) = 5% = 0.05 and

P(NA) = 1 - 0.05 = 0.95

Similarly, for older dogs,

P(A) = 10% = 0.1 and

P(NA) = 1 - 0.1 = 0.9

For cats that are not older,

P(A) = P(NA) = 0.5

For dogs that are not older

P(A) = P(NA) = 0.5

(a) We can illustrate this information using a tree diagram as shown in the image attached. The first stage represents whether the animal is a cat or a dog. Then, they are classified as older or not older and then they are classified according to if they are adopted or not.

(b) We need to compute the probability that the selected animal is not older and a dog and is not adopted i.e. P(NO ∩ D ∩ NA). For this we will use the tree diagram and trace out the path D to NO to NA. We need this sample point hence, we will multiply all three probabilities and find out the answer.

P(NO ∩ D ∩ NA) = (0.6)*(0.9)*(0.5)

P(NO ∩ D ∩ NA) = 0.27

(c) Now, we need to compute P(O ∩ C ∩ A). So, using the tree diagram, we will trace out the route from C to O to A and multiply these three probabilities to get our answer.

P(O ∩ C ∩ A) = 0.4 * 0.2 * 0.05

P(O ∩ C ∩ A) = 0.004

(d) To compute the probability that a randomly chosen animal is adopted, we need to see the combinations in our tree diagram where we find adopted (A). The possible combinations can be: (C, O, A), (C, NO, A), (D, O, A) and (D, NO, A). So, the probability of adopted is:

P(A) = (C, O, A) + (C, NO, A) + (D, O, A) + (D, NO, A)

      = 0.4*0.2*0.05 + 0.4*0.8*0.5 + 0.6*0.1*0.1 + 0.6*0.9*0.5

      = 0.002 + 0.16 + 0.006 + 0.27

P(A) = 0.438

(e) Now, we are given that the chosen animal is a cat and we need to compute the probability that it is adopted. So, from the tree diagram, we can see that a cat who is oler can be adopted (C, O, A) and a cat who is not older can also be adopted (C, NO, A). These two sample points make up that probability that a cat is adopted. So,

P(A|C) = (C, O, A) + (C, NO, A)

          = 0.4*0.2*0.05 + 0.4*0.8*0.5

          = 0.002 + 0.16

P(A|C) = 0.162

(f) P(C|A) = P(C∩A)/P(A)

    Now this can hold true for older as well as not older cats. We will consider both and add them.

  P(C|A) = P(C∩A)/P(A) (older cats) + P(C∩A)/P(A) (not older cats)

             = (0.4*0.2*0.05)/0.438 + (0.4*0.8*0.5)/0.438

             = 0.004/0.438 + 0.16/0.438

             = 0.009132 + 0.36529

  P(C|A) = 0.374

8 0
3 years ago
Mark is having a party. He invited 35 people. Mark set up 8 tables with 4 chairs at each table. Dose Mark have enough tablels an
Aneli [31]

8 * 4 = 32 chairs

No, Mark does not have enough tables and chairs for all of his guests. He only has 32 chairs but there are 35 guests. There are 3 people that will not be seated.

7 0
3 years ago
Consider the statement of 998<1022 use place value of the digits in each number to help explain why this is true
k0ka [10]

Answer:

998 is less than 1022

Step-by-step explanation:

This equation is true because if you look at the number 1022 it is one digit higher in place value, therefor making this statement true

7 0
3 years ago
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