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2 years ago

What is the slope of the line whose equation is 2x-4y=10? Show answers

Mathematics

2 answers:

aliina [53]2 years ago

4 0

Answer:

y = - 0.5x + 2.5

y = -1/2 + 5/2

Step-by-step explanation:

2x -4y = 10 lets find y

-4y = 10+2x

-4y = 2x-10

-4y/-4 = 2x/-4 - 10/-4

y = - 0.5x + 2.5

y = -1/2 + 5/2

vova2212 [387]2 years ago

3 0

Step-by-step explanation:

the slope of the line = 1/2

that is the answer

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The heights of women in the USA are normally distributed with a mean of 64 inches and a standard deviation of 3 inches.

Rainbow [258]

Answer:

(a) 0.2061

(b) 0.2514

Step-by-step explanation:

Let X denote the heights of women in the USA.

It is provided that X follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.

(a)

Compute the probability that the sample mean is greater than 63 inches as follows:

$P(\bar X>63)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{63-64}{3/\sqrt{6}})\\\\=P(Z>-0.82)\\\\=P(Z$

Thus, the probability that the sample mean is greater than 63 inches is 0.2061.

(b)

Compute the probability that a randomly selected woman is taller than 66 inches as follows:

$P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-64}{3})\\\\=P(Z>0.67)\\\\=1-P(Z$

Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.

(c)

Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:

$P(\bar X>66)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{66-64}{3/\sqrt{100}})\\\\=P(Z>6.67)\\\\\ =0$

Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.

8 0

2 years ago

A bake sale earned 13.25 dollars. If the bake sale had 6 more bake sales, and they earned the same amount how much money did the

Nikolay [14]

]Answer:

79.5

Step-by-step explanation:

just multiply 13.25 by 6 :D hope that helps

5 0

2 years ago

2 to the power of -3 simplified

blsea [12.9K]

Answer:

= 1/8 or 0.125

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Please anyone to show me how this mathematics question is done..please

irinina [24]

9514 1404 393

Answer:

(i) 55.59 km/h

(ii) 3600 nautical miles ≈ 6670.8 km

(iii) 30°N 29.3°E

Step-by-step explanation:

(i) The speed in km/h requires a units conversion.

(30 kt/h)(1.853 km/kt) = 55.59 km/h

(ii) Here, we assume we're interested in the distance traveled. If the course is "due east", we presume that means it follows the 30° latitude line, so is not the shortest route between A and B. That is, the distance from A to B will be different from the distance traveled. (The shortest route from A to B is along a great circle.)

distance = speed × time

distance = (30 kt/h)(120 h) = 3600 nautical miles

= (55.59 km/h)(120 h) = 6670.8 km

(iii) The radius of the 30° latitude line is ...

(6370 km)(cos(30°)) = 3185√3 km ≈ 5516.58 km

The relationship between arc length (s) and central angle (α) is ...

s = rα

So, the change in the vessel's longitude is ...

α = (6670.8 km)/(5516.58 km) ≈ 1.20923 radians ≈ 69.28°

Then town B has longitude ...

40°W -69.3° = -29.3°W = 29.3°E

The position of town B is about 30°N 29.3°E.

_____

Additional comment

The route supposedly taken by this sea vessel is from the middle of the North Atlantic to a town in northern Egypt, through the northern Sahara desert. The eastern end point is shown in the attachment.

Some spherical trigonometry is involved if you want to find the end point of the great-circle route of the same length.

5 0

2 years ago

Fins the missing fraction 5/2-??=1/3

oksian1 [2.3K]

Answer:

13/6 is the missing fraction

Step-by-step explanation:

well consider the missing integer as x

then 5/2 -x=1/3

so, -x=1/3 -5/2

-x = -13/6

x= 13/6

3 0

2 years ago