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Akimi4 [234]
3 years ago
7

What is the solution for x In the inequality -3x+4<16

Mathematics
2 answers:
dolphi86 [110]3 years ago
8 0

Answer:

x > -4

Step-by-step explanation:

-3x + 4 < 16

-3x < 16 - 4

-3x < 12

-x < 4

x > -4

Evgen [1.6K]3 years ago
5 0

Answer:

x > -4

Step-by-step explanation:

-3x+4<16

Subtract 4 from each side

-3x+4-4<16-4

-3x < 12

Divide each side by -3, remembering to flip the inequality since we are dividing by a negative.

-3x/-3 > 12/-3

x > -4

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3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20-%20%20%5Cfrac%7B3%7D%7B8%7Dy%20%3D%203%20%5C%5C%20" id="TexFormula
MariettaO [177]

Answer:

(6, - 4 )

Step-by-step explanation:

Given the 2 equations

\frac{x}{4} - \frac{3}{8} y = 3 → (1)

\frac{5}{3} x - \frac{y}{2} = 12 → (2)

Multiply (1) by 8 and (2) by 6 to clear the fractions

2x - 3y = 24 → (3)

10x - 3y = 72 → (4)

Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides

- 3y = 24 - 2x

Substitute 3y = 24 - 2x into (4)

10x + 24 - 2x = 72, that is

8x + 24 = 72 ( subtract 24 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Substitute x = 6 in either (3) or (4) and solve for y

Substituting in (3)

2(6) - 3y = 24

12 - 3y = 24 ( subtract 12 from both sides )

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Solution is (6, - 4 )

3 0
3 years ago
Assume that women's heights are normally distributed with a mean given by , and a standard deviation given by . μ = 63.5 in σ =
tresset_1 [31]
<span> (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in
using z-score formula:
z-score=(x-mu)/sig
(64-63.5)/2.8
=0.18
thus
P(x<64)=P(z<0.18)-=0.5714

B] </span><span> if 33 women are randomly selected, find the probability that they have a mean height less than 64 in
using the central limit theorem of sample means, we shall have:
2.8/</span>√33=0.49
since n>30 we use z-distribtuion
z(64)=(64-63.5)/0.49=1.191
The
P(x_bar<64)=P(x<1.191)=0.8830
8 0
4 years ago
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