<span>The steps for using a compass and straightedge to construct a square are given as follows:
1. </span><span>Use a straightedge to draw line m and label a point on the line as point F
2. </span><span>Construct a line perpendicular to line m through point F. Label a point on this line as point G.
3. </span><span>With
the compass open to the desired side length of the square, place the
compass point on point F and draw an arc on line m and an arc on FG←→ .
Label the points of intersection as points H and K.
4. </span><span>Without changing the compass width, place the compass point on point H and draw an arc in the interior of ∠HFK.
5. </span><span>Keeping
the same compass width, place the compass on point K and draw an arc in
the interior of ∠HFK to intersect the previously drawn arc. Label the
point of intersection as point J.
6. </span><span>Use the straightedge to draw JH¯¯¯¯¯ and JK¯¯¯¯¯.
</span>
The true statement would be A.
Answer:
f(x)= - 4 () + 3
Step-by-step explanation:
1. start with f(x)=a(+q
2. in that vertex is (p,q) noticing that use given vertex(0,3) and change the equation/function --> f(x)=a(x-0)+3 --> f(x)=a(+3
3. Then use the give point and substitute to find "a" value --> - 1 = a(+3
--> - 1 = a + 3 --> a= - 4
4. put the "a" value into the #2. function/equation --> f(x)= - 4(+3
Answer:
38.3% of the people taking the test score between 400 and 500
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
What percentage of the people taking the test score between 400 and 500
We have to find the pvalue of Z when X = 500 subtracted by the pvalue of Z when X = 400. So
X = 500
has a pvalue of 0.6915
X = 400
has a pvalue of 0.3085
0.6915 - 0.3085 = 0.383
38.3% of the people taking the test score between 400 and 500