<span>draw the figure first (label everything you know).
add two altitudes, from the endpoints of the top base
you know that the bottom base is now divided 5-6-5
using that and the diagonal, pythagorean theorm can be used to find the altitude:
(c^2)-(a^2)=(b^2)
(12^2)-(11^2)=b^2
b^2=23
altitude is about 4.8</span>
Answer: convert 15% to a decimal. 0.15 times 75 is 11.25
Converting Percentages to Decimals
Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100.
Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left
1) Let's solve for x, writing this equation.
3x +8*59 =0
3x +472=0 <em>Subtract 472 from both sides</em>
3x = -472
x= -472/3 or -157.33
2) So the answer is x= -472/3
Answer:
could you provide the equation for which x is to be solved?:)...If your question was supposed to be that ...then hope the solution helps:)
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Group 1:
μ1 = 59.7
s1 = 2.8
n1 = sample size = 12
Group 2:
μ2 = 64.7
s2 = 8.3
n2 = sample size = 15
α = 0.1
Assume normal distribution and equ sample variance
A.)
Null and alternative hypothesis
Null : μ1 = μ2
Alternative : μ1 < μ2
B.)
USing the t test
Test statistic :
t = (m1 - m2) / S(√1/n1 + 1/n2)
S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))
S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))
S = 6.4829005
t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)
t = - 5 / 2.5108165
tstat = −1.991384
Decision rule :
If tstat < - tα, (n1+n2-2) ; reject the Null
tstat < t0.1,25
From t table :
-t0.1, 25 = - 1.3163
tstat = - 1.9913
-1.9913 < - 1.3163 ; Hence reject the Null
