If it were four consecutive odd numbers then it would be x, x+2, x+4, x+6 and not x, x+1, x+2, x+3. That is just four consecutive integers.
So if you want four consecutive ODD numbers then:
x+x+2+x+4+x+6=216
4x+12=216
4x=204
x=51 so the odd integers would be:
51, 53, 55, 57
We know that
<span>in a right triangle when cos θ = sin (73°)
then
</span>θ+73°=90°-----> because are complementary angles
so
θ=90-73-----> θ=17°
the answer is
θ=17°
Answer:
the answers are -243 and 729
Step-by-step explanation:
you multiply each by -3. 1x-3 gives you -3. -3x-3 gives you 9. -3x9 gives you -27. -27x-3 gives you 81. 81x-3 gives you -243 and -243x-3 gives you 729. i hope this helps.
W = unknown number
7w - 8 = 3 (product of 7 and a number, w, subtract 8) is 3
7w = 11
w = 11/7
Answer:
C.I 99%(μ)= [10.3; 20.5]
Step-by-step explanation:
The confidence interval formula is:
I (1-alpha) (μ)= mean+- [(t(n-1))* S/sqrt(n)]
alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 1% because 100-99%
n= number of observations = 65
t(n-1)= is the critical value of the t distribution with 65-1 degrees of freedom for an area of alpha/2 (0.5%). In this case is 2.6603
<em>We use the t-student distribution because the population standard deviation is unknown. </em>
S= sample standard deviation. In this case 15.4
mean= 37.9
Then, the confidence interval (99%):
C.I 99%(μ)= 15.4+- [2.6603*(15.4/sqrt(65)]
C.I 99%(μ)= 15.4+- [5.0815]
C.I 99%(μ)= [15.4-5.0815; 15.4+5.0815]
C.I 99%(μ)= [10.3185; 20.4815]
C.I 99%(μ)= [10.3; 20.5]