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GuDViN [60]
3 years ago
14

Write the equation in slope intercept form 2x+y=6

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0

Answer: the slope intercept form of 2x+y=6 is y=-2+6

Step-by-step explanation:

2x+y=6  (subtract 2x from both sides)

-2x    -2x  (the -2x and the 2x cancel leaving...)

<u><em>y=-2x+6</em></u>  →( y equals negative two x plus six)

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Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op
Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

P(-1.5

3 0
3 years ago
The area of a triangle is 36 4/5 units squared and the height of the triangle 9 1/5 what is the length of the triangles base
den301095 [7]

Answer:

Height = 8 units

Step-by-step explanation:

Area of a triangle = 36\frac{4}{5} square units

                             = \frac{184}{5} square units

Height of the triangle = 9\frac{1}{5} units

                                    = \frac{46}{5} units

Formula to calculate the area of a triangle is,

Area = \frac{1}{2}(\text{Base})(\text{Height})

\frac{184}{5}= \frac{1}{2}\times (\frac{46}{5})\times (\text{Height})

\frac{184}{5}= (\frac{46}{10})\times (\text{Height})

Height = \frac{184}{5}\times \frac{10}{46}

           = \frac{368}{46}

           = 8 units

Therefore, height of the given triangle is 8 units.

6 0
2 years ago
Read 2 more answers
write the equation that describes the line in slope-intercept form. slope = 4, point (3, −2) is on the line y = 4x 14 y = 4x − 2
amid [387]
Equation of a line is given by y - y1 = m(x - x1) where m is the slope and (x1, y1) is any point on the line.

y - (-2) = 4(x - 3)
y + 2 = 4x - 12
y = 4x - 12 - 2
y = 4x - 14
5 0
3 years ago
Copy and complete the table of each values for each equation
Aleksandr-060686 [28]

Step-by-step explanation:

Given function is y = –x.

Substitute the values of x in the function and find the values of y.

y = –x

At x = –2,

y = –(–2) = 2

At x = –1,

y = –(–1) = 1

At x = 0,

y = –(0) = 0

At x = 1,

y = –1(1) = –1

At x = 2,

y = –(2) = –2

Now, substitute the values of y in the table.

The image of the table is attached below.

8 0
3 years ago
The regular price of a sweater is $ 42.99. It is on sale for 29% off. Find the sale price?
Feliz [49]
The sale price is $30.52
:)

3 0
3 years ago
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