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Tema [17]
3 years ago
13

What is the slope of the line that contains the points (4, –1) and (–1, 4)?

Mathematics
2 answers:
fredd [130]3 years ago
5 0
Slope = (y2 - y1) / (x2 - x1)
= (4 - -1) / (-1 - 4)
= 5/-5
=-1

Answer is A. –1
BaLLatris [955]3 years ago
4 0
I believe the correct answer is B. -5
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In a 30°- 60° - 90° right triangle, the longer leg has a length of 10 square root of 3. what is the length of the shorter leg?
shutvik [7]
In a 30°-60°-90° triangle, the longer leg is √3 times the shorter leg. In your triangle, ...
  the shorter leg is 10.
3 0
3 years ago
Find the surface area of composite figure. use 3.14 for π. round to the nearest tenth
777dan777 [17]

Answer:

334 in^2.

Step-by-step explanation:

The surface area = area of the top prism + area of the bottom - 2 * area of the base of the  top smaller prism

= 2(5*3 + 5*3 + 3*3) + 2(9*7 + 9*5 + 7*5) -  2* 3*5

= 2* 39 + 2*143 - 30

= 334

3 0
2 years ago
An item is regularly priced at $40. It is now priced at a discount of 40% off the regular price. What is the price now?
Andreyy89
After discount, the price of the item is $24.00

8 0
3 years ago
If a line crosses though (5,-3) and (-1,6);what is the y-intercept?
harina [27]
(5,-3) (-1,6)
y=mx+b

calculate m:
(-3-6)/(5-(-1)
=-9/6=-1.5

y=-1.5x+b

insert the (5, -3) point to calculate b:

-3=-1.5*5+b
-3=-7.5+b
4.5=b

b=the y intercept, so the line intercepts x=0 at y=4.5
6 0
3 years ago
A demographer wants to measure life expectancy in countries 1 and 2. Let μ1 and μ2 denote the mean life expectancy in countries
Art [367]

Answer:

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: \mu_1 \leq \mu_2 -10

Alternative hypothesis:\mu_1 > \mu_2 -10

Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 10

Alternative hypothesis:\mu_1 - \mu_2 >10

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: \mu_1 \leq \mu_2 -10

Alternative hypothesis:\mu_1 > \mu_2 -10

Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 10

Alternative hypothesis:\mu_1 - \mu_2 >10

7 0
3 years ago
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