Answer:
The slope for the parallel line to the equation -10x-5y=25 is -2
Step-by-step explanation:
First we need to convert the equation to slope-intercept form to determine the slope.
-10x-5y=25
+10x _10x
-5y=25+10x
/-5 /-5
y= -5 -2x
Remember, -5 is the y-intercept and -2 is the slope for this equation. A parallel line is a line that never intersects with the first line. If the two equations have different slopes, they will eventually intersect. Because of this, our parallel line needs to have the same slope as the initial equation: -10x-5y=25
Since we've determined that the slope for that equation is -2, we can infer that this will be the slope for our parallel line.
The complete question in the attached figure
we have that
<span>A door to a playhouse is 50 inches tall
we know that
1 in---------------> is 0.0833333 ft
so
50 in-------------> 50*0.0833333---------> 4.167 ft
</span>4.167 ft----------> [4 ft+0.167 ft]
<span>remember that
</span>1 in---------------> is 0.0833333 ft
<span>X in----------------> 0.167 ft
X=0.167/0.0833333----------> X=2 in
therefore
</span>4.167 ft----------> [4 ft+0.167 ft]--------> [4 ft+2 in]<span>
the answer is
the option b) 4 ft 2 in</span>
Answer:
Step-by-step explanation:
Solution
When, x=2
f(2)=3×2+8
=14
Again,
When, x=1
f(1)=3×1+8
=11
When, x=0
f(0)=3×0+8
=8
When, x=-1
f(-1)= 3×(-1)+8
=5
If you found my answer useful then please mark me brainliest.
Answer:
0.7422 = 74.22% of scores are above 74.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Calculate the proportion of scores above 74.
This is 1 subtracted by the pvalue of Z when X = 74. So



has a pvalue of 0.2578
So 1-0.2578 = 0.7422 = 74.22% of scores are above 74.