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Salsk061 [2.6K]
1 year ago
14

The first and fourth terms of a proportion are called the means.

Mathematics
1 answer:
expeople1 [14]1 year ago
6 0

Answer:

Never is the correct answer.

Step-by-step explanation:

The 1st and 4th terms are the extremes, the 2nd and 3rd terms are the means.

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Find the area of this,<br> Simplify your answer completely.
creativ13 [48]

Answer:

\frac{2}{15}  {cm}^{2}

Step-by-step explanation:

Area of Rectangle = Length x Breadth

=

\frac{1}{5}  \times  \frac{2}{3}  \\  =  \frac{2}{15}  {cm}^{2}

4 0
1 year ago
The tThe term 10x3y2 is a term in which binomial expansion?
MAXImum [283]

Answer:

(x + y)^5.

Step-by-step explanation:

The (r+1)th term of (x + y)^n = nCr x^n-r y^r

Compare this with 10x^3 y^2  we get

nCr = 10 , n-r = 3 and r = 2 giving n = 3+2 = 5

5C2 = 10.

So the answer is (x + y)^5.

6 0
3 years ago
The number of exports is shown as g(x). Use the data in the table below, representing both functions, to explain to your boss th
siniylev [52]

Step-by-step explanation:

Given the table:

Month              f(x) = Number of imports    g(x) = Number of exports

January (1)                3                                                1

February (2)             4                                                3

March (3)                  5                                                5

April (4)                     6                                                7

From the table, it is clear that:

Number of imports = number of month + 2

so

f(x) = x + 2

also

Number of exports  = 2(number of month) + 1

so

g(x) = 2x - 1

Therefore, number of imports equals the number of month plus one. i.e. f(x) = x + 2, which is a linear function.

If we compare it with slope-intercept form of the line

y=mx+b

Then,

slope = m = 1

y-intercept = 2

Also number of exports equals is also a linear function.

i.e. g(x) = 2x - 1

Here,

slope = m = 2

y-intercept = -1

3 0
3 years ago
A water taxi has a maximum load of 1,800 pounds. If the average weight of one person is 150 pounds, what is the maximum number o
Serggg [28]

Answer:

12

Step-by-step explanation:

if you do 1,800÷150 then you will get 12

7 0
3 years ago
The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta
soldi70 [24.7K]

Answer:

a. P(x=0)=0.2967

b. P(x=1)=0.4444

c. P(x=2)=0.2219

d. P(x=3)=0.0369

Step-by-step explanation:

The variable X: "number of meals that exceed $50" can be modeled as a binomial random variable, with n=3 (the total number of meals) and p=0.333 (the probability that the chosen restaurant charges mor thena $50).

The probabilty p can be calculated dividing the amount of restaurants that are expected to charge more than $50 (5 restaurants)  by the total amount of restaurants from where we can pick (15 restaurants):

p=\dfrac{5}{15}=0.333

Then, we can model the probability that k meals cost more than $50 as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{3}{k} 0.333^{k} 0.667^{3-k}\\\\\\

a. We have to calculate P(x=0)

P(x=0) = \dbinom{3}{0} p^{0}(1-p)^{3}=1*1*0.2967=0.2967\\\\\\

b. We have to calculate P(x=1)

P(x=1) = \dbinom{3}{1} p^{1}(1-p)^{2}=3*0.333*0.4449=0.4444\\\\\\

c. We have to calcualte P(x=2)

P(x=2) = \dbinom{3}{2} p^{2}(1-p)^{1}=3*0.1109*0.667=0.2219\\\\\\

d. We have to calculate P(x=3)

P(x=3) = \dbinom{3}{3} p^{3}(1-p)^{0}=1*0.0369*1=0.0369\\\\\\

6 0
2 years ago
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