To get the value of DK we use proportionality:
AK/EK=BK/KD
thus plugging the values we get:
14/17=7/KD
getting the reciprocal of getting both sides we have:
17/14=KD/7
thus
KD=17/14×7
KD=8.5
thus
The zero for -2x+10x-16 is positive 2
Answer:
The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.7079
The margin of error is:
M = T*s = 2.7079*234.12 = 633.97
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1088.64 - 633.97 = 454.67 milligrams
The upper end of the interval is the sample mean added to M. So it is 1088.64 + 633.97 = 1722.61 milligrams
The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams
Answer:
7/10 = 63/90
4/9 = 40/90
Step-by-step explanation:
Rewriting input as fractions if necessary:
7/10, 4/9
For the denominators (10, 9) the least common multiple (LCM) is 90.
LCM(10, 9)
Therefore, the least common denominator (LCD) is 90.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
7/10 = 7/10 × 9/9 = 63/90
4/9 = 4/9 × 10/10 = 40/90
OXY=90degree...and OYZ=90degree because the tangents supported in the circle are always 90