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tangare [24]
3 years ago
11

The expression describe the number that is 8 to the left of -8 on the number line ​

Mathematics
1 answer:
mart [117]3 years ago
4 0

Start at -8 move to the left 8 more times,. You get -16.

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The shaded region in the graph represents the solutions of this system of linear inequalities:
kotegsom [21]

Answer:

y

y\leq 2x+3

Step-by-step explanation:

step 1

Find the equation of the solid line

From the graph take the points (0,3) and (4,11)

Find the slope

m=(11-3)/(4-0)\\m=8/4=2

The equation of the solid line in slope intercept form is equal to

y=mx+b

we have

m=2

b=3 ----> the y-intercept is the point (0,3)

substitute

y=2x+3

therefore

The inequality is

y\leq 2x+3

step 2

Find the equation of the dashed line

The slope is given

m=4

From the graph take the y-intercept (0,-5)

The equation of the solid line in slope intercept form is equal to

y=mx+b    

we have

m=4

b=-5

substitute

y=4x-5

therefore

The inequality is

y

because the shaded region is below the dashed line

therefore

The system of inequalities is

y

y\leq 2x+3

8 0
3 years ago
The length of a rectangle is 5 more than the width. The perimeter is 120. What is the length, width, and area? Please HELP
Ad libitum [116K]

Answer:

l = 32.5 units, w= 27.5 units, A = 893.75 units²

Step-by-step explanation:

width is w

length is l = 5+w

P = 2( l+w) , substitute l for 5+w

P = 2(5+w+w)

P = 2(5+2w)

P = 10 +4w

P = 120

10 +4w = 120

4w = 120-10

4w = 110

w= 110/4

w= 27.5 units

l = 5+w = 5+ 27.5 = 32.5 units

A = l*w = 27.5 * 32.5 = 893.75 units ²

5 0
3 years ago
What is the point slope form?<br><br> (8,9) m = 0.5<br><br> Please show work.
Simora [160]
<span>(8,9) m = 0.5
point slope form 
y - y1 = m (x - x1)
so
equation

y - 9 = 0.5(x - 8)

answer
</span>
y - 9 = 0.5(x - 8)
8 0
4 years ago
A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the
LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1

The probability that at most 12 ties are too tight is P=1.

5 0
3 years ago
HELP FAST HURRY FAST PLZ
Leviafan [203]

Answer:

cant rlly read the question

Step-by-step explanation:

4 0
3 years ago
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