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blsea [12.9K]
3 years ago
7

13. x > 30 28 29 30 31 32

Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0

Answer:

31, 32

Step-by-step explanation:

\because \: x > 30 \\  \implies \: x = 31, \:  \: 32

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Arrange the pairs of points in increasing order of slopes of the lines joining them
sladkih [1.3K]

Answer:

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

Step-by-step explanation:

Formula for slope of a line is

m=\dfrac{y_2-y_1}{x_2-x_1}

a) (15,30) and (20,40).

m_a=\dfrac{40-30}{20-15}=\dfrac{10}{5}=2

Similarly find the slope of other lines.

b) (12,32) and (18,48).

m_b=\dfrac{48-32}{18-12}=\dfrac{16}{6}=2.67

c) (27,12) and (72,32).

m_c=\dfrac{32-12}{72-27}=\dfrac{20}{45}=0.44

d) (45,15) and (60,20).

m_d=\dfrac{20-15}{60-45}=\dfrac{5}{15}=0.33

e) (27,2) and (243,18).

m_e=\dfrac{18-2}{243-27}=\dfrac{16}{216}=0.074

f) (18,63) and (24,84).

m_f=\dfrac{84-63}{24-18}=\dfrac{21}{6}=3.5

g) (63,9) and (84,12).

m_g=\dfrac{12-9}{84-63}=\dfrac{3}{21}=0.143

After arranging the slopes in increasing order, we get

m_e

So, required arrangement of ordered pairs is

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

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3 years ago
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Ann went (1) for his distance
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Which part of the expression is a factor 7(x+8)<br><br> A. 21<br> B.8<br> C. 3x<br> D. 7
Sever21 [200]
It is 7. None of the other ones fit at all
8 0
2 years ago
Read 2 more answers
Which expression is equivalent to 7/10-2/10
ki77a [65]

Solution:

we have been asked to find

The expression is equivalent to 7/10-2/10

we can simplify the given expression as below

\frac{7}{10}-\frac{2}{10}=\frac{7-2}{10}\\ \\ \Rightarrow \frac{7}{10}-\frac{2}{10}=\frac{5}{10}\\ \\ \text{Simplify we get}\\ \\ \frac{7}{10}-\frac{2}{10}=\frac{1}{2}\\

Hence the simplified expression , equaivalent to the given expression is 1/2.

4 0
3 years ago
Read 2 more answers
Purchasing A regional survey found that 70% of all families who indicated an intention to buy a new car bought a new car within
zheka24 [161]

Answer:

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B) = 0.3362

Step-by-step explanation:

Let the event that a family that intends to buy a car be I

Let the event that a family does not intend to buy a car be I'

Let the event that a family buys a car in those 3 months be B

Let the event that a family does not buy a car in those 3 months be B'

Given,

P(B|I) = 0.70

P(B|I') = 0.10

P(I) = 0.22

P(I') = 1 - P(I) = 1 - 0.22 = 0.78

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B)

The conditional probability P(A|B), is given as

P(A|B) = P(A n B) ÷ P(B)

So,

P(B|I) = P(B n I) ÷ P(I)

P(B n I) = P(B|I) × P(I) = 0.70 × 0.22 = 0.154

P(B|I') = P(B n I') ÷ P(I')

P(B n I') = P(B|I') × P(I') = 0.10 × 0.78 = 0.078

P(B) = P(B n I) + P(B n I') = 0.154 + 0.078 = 0.232

P(B') = 1 - 0.232 = 0.768

P(I'|B) = P(B n I') ÷ P(B)

= 0.078 ÷ 0.232 = 0.3362

Hope this Helps!!!

8 0
2 years ago
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