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nata0808 [166]
3 years ago
13

What is the answer to this question

Mathematics
1 answer:
inn [45]3 years ago
8 0

Answer:

x > -440

Step-by-step explanation:

1/8x + 25 < 80 + 1/4x

1/8x < 55 + 1/4x

-1/8× < 55

x > -440

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The length of a rectangle is 2 more than its width. If the area of the rectangle is 20m squared, what are the dimensions of the
zvonat [6]
L=2+W
A=LW
A=(2+W)W
20=2W+W^2
0=W^2+2W-20
use quadratic
fr
aw^2+bw+C=0
w=(-b+/-sqrt(b^2-4ac))/2a

a=1
b=2
c=-20

w=(-2+/-sqrt(2^2-4(1)(-20)))/2(1)
w=(-2+/-sqrt(4+80))/2
w=(-2+/-sqrt(84))/2
w=(-2+/-2sqrt(21))/2
w=1+/-sqrt(21)
aprox
w=-3.58 or 5.58
cannot have negative width
w=5.58
round
w=5.6
sub
l=2+w
l=2+5.6
l=7.6


legnth=7.6m
width=5.6m
6 0
3 years ago
The temperature readings from a thermocouple in a furnace fluctuate according to a cumulative distribution function,
Oliga [24]

Answer:

P(x

P(x

P(x>808.40) = 0.58

P(x\le805.40\ or\ x\ge 808.40) = 0.85

Step-by-step explanation:

Given:

F(x) = \left\{\begin{array}{ll}{0} &; {x

Solving (a): P(x < 810)

To solve this, we make use of:

P(x

Because

800^\circ C \le 810 \le 820^\circ C

So:

F(x) = 0.05 * 810 -40

F(x) = 40.5 -40

F(x) = 0.5

Hence:

P(x

Solving (b): P(x < 800)

To solve this, we make use of:

P(x

Because:

x < 800^\circ C

So:

P(x

Solving (c): P(x > 808.40)

Here, we make use of complement rule:

P(x>808.40) = 1 - P(x \le 808.40)

Where:

P(x\le808.40) = 0.05x - 40

P(x\le808.40) = 0.05*808.40 - 40

P(x\le808.40) = 0.42

So:

P(x>808.40) = 1 - 0.42

P(x>808.40) = 0.58

Solving (d) The probability that the temperature lies outside 805.60 and 808.40

First, we calculate the probability that it lies within.

This is represented as:

P(805.40 < x < 808.40)

This is calculated using:

P(805.40 < x < 808.40) = F(808.40) - F(805.40)

P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)

P(805.40 < x < 808.40) = 0.42 - (0.27)

P(805.40 < x < 808.40) = 0.42 - 0.27

P(805.40 < x < 808.40) = 0.15

Using complement rule, the required probability is:

P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15

P(x\le805.40\ or\ x\ge 808.40) = 0.85

5 0
3 years ago
On Wednesday Mr. Miles walked in right at 9/10 of the trail then he walked one eights of the trail back and you stop to rest wha
scoray [572]

Answer:

31/40

Step-by-step explanation:

Given that:

Fraction of the trail walked intulally = 9/10

Fraction of the trail walked back = 1/8 before stopping to rest

His current distance from the beginning :

Distance walked initially - distance walked back

9/10 - 1/8

The L. C. M of 10 and 8 = 80

Hence,

9/10 - 1/8

= (72 - 10) / 80

= 62 / 80

= 31 / 40

Hence, his rest point or position is 31/40 from the beginning of the trail

3 0
3 years ago
How do I solve this?
Burka [1]

you solve it by using your brain =) 132 degrees

3 0
3 years ago
Read 2 more answers
An MP3 player costs $70 and song downloads cost $0.95 each. Write an expression that represents the cost of the MP3 player and x
babunello [35]
Let x represent the number of song downloads and let y represent the total cost

y=0.95x+70
3 0
3 years ago
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