It would be a negative six ,-6, because if you draw a number line and on one side there are positive numbers on the right and on the left there are negative numbers, you would have to go up to ten on both sides one being positive and the other being negative.You will then go on the negative side and move four spaces to the right from the -10 and you will get a -6.
Answer:
.7147
Step-by-step explanation:
Let P be the probability of 55 families having mean more than 17
P { (17-17.2)/ (2.5/√55) }
P(- 0.5933 )
= - .2765 [ From the z table ]
P be the probability of 55 families having mean less than 18
P { (18 -17.2)/ (2.5/√55) }
P( 2.3732 )
= .9912 [ From the z table ]
Probability of mean between 17 and 18
= .9912 - .2765
= .7147
Answer:
a) The sequence converges to 0
b) The lenght of the curve is 
Step-by-step explanation:
Consider the sequence 
a) We will prove it using the sandwich lemma. Note that for all n 
, then
Note that the expressions on the left and the right hand side have a greater degree on the denominator than the one on the numerator. Then, by takint the limit n goes to infinty on both sides, we have that
So, the sequence converges to 0.
b) The function 
the formula of curve lenght is given by
![s = \int_a^b \sqrt[]{1+(f'(x))^2}dx](https://tex.z-dn.net/?f=s%20%3D%20%5Cint_a%5Eb%20%5Csqrt%5B%5D%7B1%2B%28f%27%28x%29%29%5E2%7Ddx)
in this case, a=1, b=6
Note that 
. Then
![s=\int_1^6 \sqrt[]{1+36x}dx](https://tex.z-dn.net/?f=s%3D%5Cint_1%5E6%20%5Csqrt%5B%5D%7B1%2B36x%7Ddx)
. Take u = 1+36x. Then du= 36dx (i.e du/36 = dx). If x = 1, then u = 37 and if x = 6 then u = 217. So,
![s=\frac{1}{36}\int_{37}^{217}\sqrt[]{u} du = \frac{2}{36\cdot 3} \left.u^{3/2}\right|_{37}^{217}=\frac{1}{54}(217^{3/2}-37^{3/2})](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B36%7D%5Cint_%7B37%7D%5E%7B217%7D%5Csqrt%5B%5D%7Bu%7D%20du%20%3D%20%5Cfrac%7B2%7D%7B36%5Ccdot%203%7D%20%5Cleft.u%5E%7B3%2F2%7D%5Cright%7C_%7B37%7D%5E%7B217%7D%3D%5Cfrac%7B1%7D%7B54%7D%28217%5E%7B3%2F2%7D-37%5E%7B3%2F2%7D%29)
Answer:
Idioms
Step-by-step explanation:
An idiom is a figure of speech that doesn't have a literal meaning
let's write the given equation in its slope intercept form :
i.e y = 6x + 8
by comparing to the general equation : y = mx + c
we get, slope (m) = 6
