Add 4.5<span> and </span>9.2<span> to get </span><span>13.7.
</span>13.7
13.7 in. is the length
Answer:
17.1≤x≤23.1
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = x ± z*s/√n
x is the mean yield = 20.1
z is the 80% z-score = 1.282
s is the standard deviation = 7.66
n is the sample size = 11
Substitute
CI = 20.1 ± 1.282*7.66/√11
CI = 20.1 ± 1.282*7.66/3.3166
CI = 20.1 ± 1.282*2.3095
CI = 20.1 ±2.9609
CI = (20.1-2.9609, 20.1+2.9609)
CI = (17.139, 23.0609)
hence the required confidence interval to 1dp is 17.1≤x≤23.1
Answer:
Step-by-step explanation:
Given
See attachment for MNPQ and RSTU
Required
Find x and y
To solve this question, we make use of equivalent ratios of corresponding side lengths.
The ratio of corresponding sides are:
From the attachment, we have:
To solve for x, we equate and
Express as fraction
Make x the subject
To solve for y, we equate and
Express as fraction
Make y the subject
Options :
y – 8 = –0.15(x – 10)
y + 8 = –0.15(x – 10)
y – 8 = –0.2(x + 10)
y + 8 = –0.2(x – 10)
Answer:
y – 8 = –0.2(x + 10)
Step-by-step explanation:
(-10, 8)
General equation in point - slope form:
y - y1 = m(x - x1)
m = slope
Given the points : ( - 10, 8)
x1= - 10 ; y1 = 8
y - y1 = m(x - x1)
Substitute the values of x and y into the equation :
y - 8 = m(x - - 10)
y - 8 = m(x + 10)
The best option which fits is :
y – 8 = –0.2(x + 10)
