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alina1380 [7]
3 years ago
12

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −3x+5y=−15 ?

Mathematics
2 answers:
AysviL [449]3 years ago
8 0
Perpendicular means that it has a slope that is the reciprocal of the original, and parallel means that the slopes are the same.
m_a_m_a [10]3 years ago
8 0

Tip:

With these kinds of equations focus on the <em>x and y</em> values

<em>Same exact values</em> = parallel

<em>x and y values are swapped</em> = perpendicular

<em>anything else</em> = neither

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The figure below shows a shaded rectangular region inside a large rectangle: (pic)
mariarad [96]

Answer:

D


Step-by-step explanation:

Probability of falling NOT in the shaded region is "area of white region" <em>divided by</em> "area of whole rectangle (big one)".


<u>Area of whole rectangle:</u>

Area of rectangle = length * width = 10 * 5 = 50


<u>Area of White Region:</u>

First, area of shaded region = length * width = 4 * 2 = 8

Now,

Area of white region = area of whole rectangle - area of shaded rectangle

Area of white region = 50 - 8 = 42


Hence, probability is \frac{42}{50}=0.84

0.84 = 84%

Answer choice D is right.





8 0
3 years ago
An average light bulb manufactured by the Acme Corporation lasts 300 days with a standard deviation of 50 days. Assuming that bu
notsponge [240]

Answer:

1. 90% 2. 10% 3. 50%

Step-by-step explanation:

Standard Deviation (σ) = 50 days

Average/Mean (μ) = 300days

Probability that it would last more than 300 days = P(Bulb>300 days)

We will assume there are 365 days in a year.

P(Bulb>300 days)  implies that the bulb would

Using the normal equation;

z = standard/normal score = (x-μ)/σ where x is the value to be standardized

P(Bulb>300 days) implies x = 365 days

Therefore z = (365-300)/50 = 1.3

Using the normal graph for z=1.3, probability = 90%

2. P(Bulb<300 days) = 1 - P(Bulb>300 days)\

P(Bulb<300 days) = 1 - 0.9

P(Bulb<300 days)  = 10%

3. P(Bulb=300 days) implies z=0 since x=300

Using the normal graph for z=0, probability =50%

6 0
3 years ago
Solve for x. Express the answer in simplest form.1/7 = 3/4x - 1
shtirl [24]
1/7 = 3/4x-1
3/4x=1/7+1=8/7
x=8/7*4/3=32/21
4 0
3 years ago
What is the absolute value of -250?
Andrei [34K]

Answer:

250

Step-by-step explanation:

Pretty much every time it asks for the abasloute value it just asks how much to get the zero on the number line. It will ALWAYS be positive. For example -5 will be 5 to get to zero on the numberline. Same thing with a positive 5.

6 0
3 years ago
What is 3^-2 as a fraction?
Dennis_Churaev [7]

Answer:

It is joe mama

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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