We can determine that the ratio is simplified by checking that the numbers in ratio can be divided with the same number, if it can be divided then it is not simplified for example 9:12 is the ratio and we can divide both numbers with 3 and then we get 3 : 4.
Now we cannot divide 3:4 further with any same number so this is simplified form.
Answer:
A value two standards deviation from the mean is more likely to occur than a value three standard deviations from the mean.
Step-by-step explanation:
Standard deviation is a quantitative measure of the variability of traits of the subjects in a given population. These traits can range from age, height, weight e.t.c. This deviation is brought about by extreme or abnormal conditions, which is the reason why two deviations is more likely to occur than three deviations.
Moreover, going by the provisions of the empirical rule, If data comes from a population that is approximately symmetrical;
95% of the data will fall within two standard deviations.
99.7% will fall within three standard deviations
Find the attachment below.
Nevertheless, in a symmetrical distribution most of the data values fall around the mean. Two standard deviations is closer to the mean than 3 standard deviations hence more likely to occur.
Ok so you do 3x7= 21 which you already know. So then you do 1x7=7. Last, you just add 21+7=28 pens in total
Answer:
The linear term is -5x
Step-by-step explanation:
The linear term is the term that has the degree equal to 1.
The given function is
y = 2x^2 − 5x − 12
here 2x^2 = quadratic term i.e having degree 2
-5x = linear term i.e having degree 1
-12 = constant
so, The linear term is -5x
we know that
The angle bisector, is the line or line segment that divides the angle into two equal parts.
So
in this problem
m∠ZXW=m∠WXY+m∠ZXY
m∠WXY=m∠ZXY
Part a) <u>Find the value of m∠WXY</u>
m∠ZXY=37°-----> given value
so
m∠WXY=m∠ZXY=37°
therefore
<u>the answer part a)</u>
The measure of angle WXY is equal to 37°
Part b) <u>Find the value of m∠ZXW</u>
m∠ZXW=m∠WXY+m∠ZXY
m∠ZXW=37°+37°=74°
therefore
<u>the answer part b) is</u>
the measure of angle ZXW is 74 degrees
