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Oxana [17]
3 years ago
8

Define contrapositive p --> q=?

Mathematics
1 answer:
siniylev [52]3 years ago
3 0

Answer:

~q→~p

Step-by-step explanation:

The contrapositive of a statement is formed by negating the hypothesis and conclusion of a statement and switching them (the hypothesis becomes the conclusion and vice versa).

With this definition we can conclude that the contrapositive of p→q would be ~q→~p

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Find the simple interest paid to the nearest cent for each loan, interest rate, and time. $500, 12%, 18 months
iris [78.8K]

Answer: The interest is $60


Step-by-step explanation:

500*112%=$560

560/18=$31.11

$60 in interest is paid, or an additional $3.33 a month (Bringing the monthly loan payment to a grand total of $31.11)

4 0
3 years ago
Read 2 more answers
The length of a rectangle is 3 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 264 feet, f
Digiron [165]

L = 2w - 3

p = 264

2(L + w) = p

2(2w - 3 + w) = 264

2(3w - 3) = 264

6w - 6 = 264

6w = 270

w = 270/6

w = 90/2

w = 45

L = 2w - 3

L = 2(45) - 3

L = 90 - 3

L = 87

The length is 87ft, and the width is 45ft

7 0
3 years ago
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The measures of the angles of a triangle are shown in the figure below. solve for x
Vlad1618 [11]

Answer:

67 degrees

Step-by-step explanation:

All angles in a triangle add up to 180 degrees. So...

23 + x + 90 = 180

113 + x = 180

x = 67 degrees

8 0
3 years ago
The equation and the variable
pav-90 [236]
Variable: $175=P   $40=L   $375=TB
                x=TB-P/L



Equation: $375-$175/$40=5
                 This means that the amount of hours you paid for is 5 hours.
5 0
3 years ago
A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 50%
IRISSAK [1]

Answer:

a) 0.9

b) Mean = 1.58

Standard Deviation = 0.89

Step-by-step explanation:

We are given the following in the question:

A marketing firm is considering making up to three new hires.

Let X be the variable describing the number of hiring in the company.

Thus, x can take values 0,1 ,2 and 3.

P(x\geq 2) = 50\%= 0.5\\P(x = 0) = 10\% = 0.1\\P(x = 3) = 18\% = 0.18

a) P(firm will make at least one hire)

P(x\geq 2) = P(x=2) + P(x=3)\\0.5 = P(x=2) + 0.18\\ P(x=2) = 0.32

Also,

P(x= 0) +P(x= 1) + P(x= 2) + P(x= 3) = 1\\ 0.1 + P(x= 1) + 0.32 + 0.18 = 1\\ P(x= 1) = 1- (0.1+0.32+0.18) = 0.4

\text{P(firm will make at least one hire)}\\= P(x\geq 1)\\=P(x=1) + P(x=2) + P(x=3)\\ = 0.4 + 0.32 + 0.18 = 0.9

b) expected value and the standard deviation of the number of hires.

E(X) = \displaystyle\sum x_iP(x_i)\\=0(0.1) + 1(0.4) + 2(0.32)+3(0.18) = 1.58

E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89

7 0
3 years ago
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