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Alchen [17]
4 years ago
13

Determine whether the conjecture is true or false. If false, give a counterexample.

Mathematics
2 answers:
S_A_V [24]4 years ago
5 0
I think it is False, x=2

Contact [7]4 years ago
3 0

We start with the given equation

x^{2} + 4 = 8

Now, we solve the equation, we subtract 4 on either side,

x^{2} +4 -4 = 8-4

x^{2}  = 4

x = \sqrt{4}

\sqrt{4 }  = +2 and -2

x = +2 or -2

So, x= +2 and x =-2

Since the given conjuncture says X=-2, we can conclude that the given conjuncture is TRUE

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Which is the area of a triangle with a base of 10 inches and a height of 3 inches
klio [65]

Answer:

area = 15 in²

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = \frac{1}{2} bh ( b is the base and h the height )

here b = 10 and h = 3, hence

A = \frac{1}{2} ×10 × 3 = 15 in²

8 0
3 years ago
Read 2 more answers
If 1/4 inch equals 50 miles, find the miles represented by 4 1/2 inches
DIA [1.3K]

Answer:

900 miles

Step-by-step explanation:

there are 18 1/4ths in 4 1/2inches

18 times 50 equals 900

hopes im correct

4 0
3 years ago
The U.S. National Highway Traffic Safety Administration gathers data concerning the causes of highway crashes where at least one
ZanzabumX [31]

Answer:

probability of a crash with at least one fatality if a driver drives while legally intoxicated (BAC greater than 0.09) = 0.001932

Step-by-step explanation:

P(BAC=0|Crash with fatality)=0.625

P(BAC is between .01 and .09|Crash with fatality)=0.302

P(BAC is greater than .09|Crash with fatality)=0.069

Let the event of BAC = 0 be X

Let the event of BAC between 0.01 and 0.09 be Y

Let the event of BAC greater than 0.09 be Z

Let the event of a crash with at least one fatality = C

P(X|C) = 0.625

P(Y|C) = 0.302

P(Z|C) = 0.069

P(C) = 0.028

probability of a crash with at least one fatality if a driver drives while legally intoxicated (BAC greater than 0.09) = P(C n Z)

But note that the conditional probability of probability that a driver is intoxicated (BAC greater than 0.09) given that there was a crash that involved at least a fatality is given by

P(Z|C) = P(Z n C)/P(C)

P(Z n C) = P(Z|C) × P(C) = 0.069 × 0.028 = 0.001932

Hope this Helps!!!

8 0
3 years ago
Solve for x:<br> 4(2x + 5) - 8 = 36
a_sh-v [17]

Answer:

8x+20-8=36

or,8x+12=36

or,8x=36-12

or,8x=24

or,x=24÷8

so,x=3

5 0
3 years ago
Read 2 more answers
Solve the equation<br><br> - 9x – 2y=-12<br> 2x+5y=-11<br><br> X=<br> Y=
inysia [295]

Answer:x=2, y=3

Step-by-step explanation:

solving this equation simultaneously

-9x - 2y=-12.............(1)

2x + 5y=-11.. ...........(2)

Using elimination method

Multiply equation 2 by 2 and equation 1 by 5

-45x -10y= -60...........(3)

4x + 10y=-22...............(4)

Subtracting equation 2 from 1

-41x + 0=-82

41x=82

x=82/41

X=2

To find y put x in equation 1

-9x - 2y= -12

-9(2)-2y=-12

-18-2y=-12

-2y=-12+18

-2y=6

Y= 6/2

Y=3

X=2, Y=3

3 0
4 years ago
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