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dsp73
2 years ago
15

If the range of f (x) = StartRoot m x EndRoot and the range of g (x) = m StartRoot x EndRoot are the same, which statement is tr

ue about the value of m?
Mathematics
1 answer:
vagabundo [1.1K]2 years ago
4 0

Answer:

M IS M

Step-by-step explanation:

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Real estate ads suggest that 56 % of homes for sale have​ garages, 27 % have swimming​ pools, and 16 % have both features. ​a) W
Marizza181 [45]

Answer:

a) 0.4

b) 0.28

c) The events are not independent

d) The events are not mutually exclusive

Step-by-step explanation:

Hi!

Lets call:

Gar = {homes with garage}

Pool = {homes with pool},  

A = {homes with pool and garage}  = Gar ∩ Pool

The data we are given is:

P(Gar) = 0.56

P(Pool) = 0.27

P(A) = 0.16

a) B = {homes with garage but not pool}. This set B is the set Gar without set A: B = Gar / A  

P(B) = P(Gar) - P(A) = 0.4

b) This is a conditional probability:

P(Pool | Gar) = P(Gar ∩ Pool) / P(Gar) = 0.16/0.56 = 0.28

c) To be independent events, it must be, by definition:

P(Gar ∩ Pool) = P(Gar) * P(Pool)

0.16 ≠ 0.56*0.27 = 0.15

Then, the events Gar and Pool are not independent

d) Gar and Pool are not mutually exclusive, because there are houses with both pool and garage. We know that because P(A) is not zero.

5 0
3 years ago
40 fifth graders went to a school trip 25%of the students went to see the space exhibit how many students is that
Zielflug [23.3K]
The answer would A. 20 students
3 0
3 years ago
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Let f(x) = -x-1, h(x) = x-3/3<br> Find (f o h)(-1).
larisa86 [58]
(f o h) = -(x - 3/3) - 1
(f o h) = (-x + 3)/3 - 1
(f o h)(1) = (-1 + 3)/3 - 1
(f o h)(1) = 2/3 - 1
(f o h)(1) = -1/3
7 0
3 years ago
A local coupon mailer charges $11 for each of the first three lines of an ad, and $5 for each additional line. What is the price
Tema [17]
: $55

:


Cost first 3 lines: $11 per line
Cost per additional line: $5

We are interested in 5-line ad, we place 3 lines or less, then we have to pay $11 per line in the ad.

Cost 5-lines = number of lines x cost per line

x = 5 x 11

55
3 0
3 years ago
The function f is such that f(x) = x^2 – 2x + 3
aev [14]

Answer:

x = - 4, x = 6

Step-by-step explanation:

Given

f(x) = x² - 2x + 3 and f(x) = 27, then equating the 2 gives

x² - 2x + 3 = 27 ( subtract 27 from both sides )

x² - 2x - 24 = 0 ← in standard form

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 2)

The factors are - 6 and + 4, since

- 6 × 4 = - 24 and - 6 + 4 = - 2, thus

(x - 6)(x + 4) = 0

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 4 = 0 ⇒ x = - 4

4 0
3 years ago
Read 2 more answers
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