Answer:
Distance = 7.8 units
Step-by-step explanation:
In coordinate geometry, the distance between the 2 points is given by

where (x1,y1) and (x2,y2) are coordinates of the 2 points.
Above the 2 points given are, (-2,-1) and (3,5).
<em>x1 = -2 , y1 = -1 , x2 = 3, y2 = 5</em>
<em>
</em>
<em>
</em>
<em>Distance = 7.8102 units</em>
To the nearest tenth, Distance = 7.8 units
Answer:
b) yes
The manufacturer has the right to state that the light bulbs last on average 400 hours
Step-by-step explanation:
<u><em>Explanation:-</em></u>
<em>Given sample size 'n' = 64</em>
<em>Given standard deviation of the Population (σ)=100</em>
<em>Mean of the sample (x⁻) = 350 hours</em>
<em>95% of confidence interval is determined by</em>

(
(350-24.5 , 350+24.5)
<em>(325.5 , 374.5)</em>
<u><em>Conclusion:-</em></u>
<u><em>Yes</em></u>
The manufacturer has the right to state that the light bulbs last on average 400 hours
The answer is B.
Negative numbers are to the far left if you were using a number line, so -1 to the 3rd power is -1. Everything else is positive. 1/4 is the same as 0.25 which is less than positive 1, positive 8.8 is next and the last would be -5 to the 2nd power which is 25.
Answer:
22.4722
Step-by-step explanation:
To answer this question we need to use the distance formula. The distance formula is as follows:

Now, let's identify what each variable is:
x2 = 13
x1 = -8
y2 = -1
y1 = 7
Next, let's put these into the equation:

Time to solve the equation:

Therefore, the distance between the points of (-8,7) and (13,1) is 22.4722.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
c. 500
Step-by-step explanation:
125+125=250
250+125=375
375+125=500