A part of the question is missing which is;
What is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances? Round to the nearest whole number.
Answer:
133 days
Step-by-step explanation:
We are given;
Population mean; μ = 85 days Population standard deviation; σ = 29 days
significance level; α = 5% = 0.05
Critical value of z at significance level of 0.05 = 1.645
Now, formula for z-score is;
z = (x - μ)/σ
Where x is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances.
1.645 = (x - 85)/29
(1.645 × 29) = x - 85
47.705 = x - 85
x = 85 + 47.705
x = 132.705
x ≈ 133 days
Answer:
8/13
Step-by-step explanation:
<em>Step 1 : Write all the data</em>
Total number of students = 26
Number of girls in class = 10
Number of boys in class = 26-10 = 16
<em>Step 2 : Find the probability</em>
Probability of pulling out a boy's name = <u>number of boys in class</u>
Total number of students in class
= 16/26
<em>Simplify :</em>
16/26 = 8/13
!!
<span>5.2 square inches
</span><span>All angles are 60 degrees.
2/3h=r
2/3h=6
h=9
You have a right triangle therefore you can calculate the base as (9tan30)=sqrtof3 over 3
Area of triangle 1/2 bh = 1/2(sqrt3 over 3)
(9) As this is just 1 triangle you then need to multiply it by 2
bh = sqrt of 3 over 3 * 9</span><span>
</span>
Answer:
D
Step-by-step explanation:
Use the general formula of quadratic equation:
![x_{1,2}=\dfrac{-b \pm\sqrt{b^2-4ac} }{2a} = \dfrac{6\pm\sqrt{36-40}}{4}=\dfrac{6\pm2i}{4} = \dfrac{3\pm i}{2}](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%5Cdfrac%7B-b%20%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%20%20%7D%7B2a%7D%20%3D%20%5Cdfrac%7B6%5Cpm%5Csqrt%7B36-40%7D%7D%7B4%7D%3D%5Cdfrac%7B6%5Cpm2i%7D%7B4%7D%20%3D%20%5Cdfrac%7B3%5Cpm%20i%7D%7B2%7D)
Thus we choose D