Answer:
## 18/15 =1.02

**Answer:**

1.02 units3

**Step-by-step explanation:**

Answer:
Answer is 1.02 ......

Law School According to the Law School Admission Council, in the fall of 2007, 66% of law school applicants wereaccepted to some law schooL4 The training program LSATisfaction claims that 163 of the 240 students trained in 2006were admitted to law school. You can safely consider these trainees to be representative of the population of law schoolapplicants. Has LSAﬁsfaction demonstrated a real improvement over the national average?a) What are the hypotheses?b) Check the conditions and ﬁnd the P-value.c) Would you recommend this program based on what you see here? Explain.

Robin can clean 727272 rooms in 666 days. how many rooms do she clean in 9 days

If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion? When a number is divisible by 9, the number is divisible by 3.

A television set is 36 inches wide and has a diagonal length of 42 inches. To the nearest inch, how tall is the set?

What Ln(z) is answer????!!

Robin can clean 727272 rooms in 666 days. how many rooms do she clean in 9 days

If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion? When a number is divisible by 9, the number is divisible by 3.

A television set is 36 inches wide and has a diagonal length of 42 inches. To the nearest inch, how tall is the set?

What Ln(z) is answer????!!

**Answer:**

1/a^3 and 1/b^5

and

−1

, and whose leading coefficient is

2

2(x-4)(x+1)

Fundamental Theorem of Algebra essentially states that all polynomials can be reduced down to the product of their roots.

Fundamental Theorem of Algebra essentially states that all polynomials can be reduced down to the product of their roots.

**Answer:**

0.00125 km.

**Step-by-step explanation:**

Given,

- Speed of the horse on which princess travelling, v = 9km/h

- Time taken by Lysera to sneeze = 0.5 s

As we know

1 hour = 3600 seconds

So, time taken by Lysera to sneeze can be given by,

According to definition of speed,

=>distance = speed x time

**= 0.00125 km**

**Hence, Princess Gray down will moved by 0.00125 km.**

b) the sum of the first five terms

Answer:

Ai. Common ratio = 2/3

Aii. First term = 54

B. Sum of the first five terms = 422/3

Step-by-step explanation:

From the question given above, the following data were obtained:

3rd term (T3) = 24

6Th term (T6) = 64/9

First term (a) =?

Common ratio (r) =?

Sum of the first five terms (S5) =?

Ai. Determination of the common ratio (r).

T3 = ar²

T3 = 24

24 = ar²....... (1)

T6 = ar⁵

T6 = 64/9

64/9 = ar⁵......... (2)

The equation are:

24 = ar²....... (1)

64/9 = ar⁵......... (2)

Divide equation 2 by equation 1.

64/9 ÷ 24 = ar⁵ / ar²

64/9 × 1/24 = r³

8/27 = r³

Take the cube root of both side

r = 3√(8/27)

r = 2/3

Thus, the common ratio is 2/3

Aii. Determination of the first term (a).

T3 = ar²

3rd term (T3) = 24

Common ratio (r) = 2/3

First term (a) =?

24 = a(2/3)²

24 = 4a/9

Cross multiply

24 × 9 = 4a

216 = 4a

Divide both side by 4

a = 216/4

a = 54

Thus, the first term (a) is 54

B. Determination of the sum of the first five terms.

Common ratio (r) = 2/3

First term (a) = 54

Number of term (n) = 5

Sum of first five terms (S5) =?

Sn = a[1 –rⁿ] / 1 – r

S5 = 54[1 – (⅔)⁵] / 1 – ⅔

S5 = 54 [1 – 32/243] / ⅓

S5 = 54 (211/243) × 3

S5 = 54 × 211/81

S5 = 6 × 211/9

S5 = 2 × 211/3

S5 = 422/3

Thus, the sum of the first five terms is 422/3

The proportion of production that is defective and from plant A is

... 0.35·0.25 = 0.0875

The proportion of production that is defective and from plant B is

... 0.15·0.05 = 0.0075

The proportion of production that is defective and from plant C is

... 0.50·0.15 = 0.075

Thus, the proportion of defective product that is from plant C is

... 0.075/(0.0875 +0.0075 +0.075) = 75/170 = **15/34 ≈ 44.12%**

_____

P(C | defective) = P(C&defective)/P(defective)

The question required the use of Bayes' theorem to determine the probability of a defective product coming from plant c. Given the probabilities of defectiveness for each plant, the calculation indicated that there is approximately a 54.55% chance that a defective product came from plant c.

The problem described can be solved using **Bayes' theorem**, which is a principle in Probability that is used when we need to revise/or update the probabilities of events given new data. Since a defective product is received, and we need to determine the probability of it coming from plant c, we apply Bayes' theorem for the probability of events a, b, and c (representative of the products from the respective plants).

The Bayesian formula we will use, given the probabilities of a, b and c respectively and the probability of receiving a nondefective product from these plants, is: P(c|defective) = [P(defective|c) * P(c)] / [P(defective|a) * P(a) + P(defective|b) * P(b) + P(defective|c) * P(c)].

First, calculate the probability of a defective product from each plant (1 minus the probability of a nondefective product): these are 0.25 for plant a, 0.05 for plant b, and 0.15 for plant c.

Then substitute the values: P(c|defective) = [0.15 * 0.50] / [(0.25 * 0.35) + (0.05 * 0.15) + (0.15 * 0.5)] = 0.075 / 0.1375 = 0.5454545.

So, given a defective product, there is approximately a **54.55%** chance that it was produced by plant c.

#SPJ11

answer : x= -2

bc the graph of x=1 is just a straight vertical line across the x-axis, so any lines parallel have to go vertically across the x-axis as well. The graph of line that goes through the point (-2,-1) is x=-2

bc the graph of x=1 is just a straight vertical line across the x-axis, so any lines parallel have to go vertically across the x-axis as well. The graph of line that goes through the point (-2,-1) is x=-2