Answer:
2
Step-by-step explanation:
When trying to find the LCM of two numbers you need to write down all possible ways to multiply any number used to get both 8 and 10. When doing that, the LCM is the smallest number out of both of them.
Answer:
(B) Start at -7 on the number line and move 11 to the <em>right.</em>
Step-by-step explanation:
They are negatives, but the -(-11) makes the 11 a positive.
Answer:
the oldest sibling is 12 years old.
The middle child is 9 years old.
The youngest child is 6 years old.
Step-by-step explanation:
Let the age of the youngest child be x
Then the oldest child will be 2x.
The middle child will be x + 3.
Since the combined age is 27;
x + 2x + x + 3 = 27
4x = 27 - 3
x = 24 / 4
x = 6
now 2x = 12 and x + 3 = 9
Answer:
145°
Step-by-step explanation:
x°+70°=(2x-5)°
x°+70°=2x°-5°
70°+5°=2x°-x°
75°=x°
x=75
JKM=(2x-5)°
=(2x75-5)°
=(150-5)°
=145°
Answer:
The sample size required is 102.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:
The margin of error for this interval is:
Given:
<em>σ</em> = 9.2
(1 - <em>α</em>)% = 90%
MOE = 1.5
The critical value of <em>z</em> for 90% confidence level is:
*Use a <em>z</em>-table.
Compute the value of <em>n</em> as follows:
![n=[\frac{z_{\alpha/2}\times \sigma}{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csigma%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{1.645\times 9.2}{1.5}]^{2}\\=101.795\\\approx102](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.645%5Ctimes%209.2%7D%7B1.5%7D%5D%5E%7B2%7D%5C%5C%3D101.795%5C%5C%5Capprox102)
Thus, the sample size required is 102.
