Answer: 1/2 or 50%
Step-by-step explanation: To find out what is the probability of rolling an odd number on a dice, we first need to understand what probability is. Probability is the likelihood that an event will happen. We can find the probability of an event using a ratio. Notice that in this problem, we are asked to find the probability of spinning an odd number. This means that the odd numbers will be a favorable outcome.
Image is provided.
X^2-7x+38=5x+3
x^2-7x+38-5x-3=5x+3-5x-3
x^2-12x+35=0
Factoring:
(x-5)(x-7)=0
Two solutions:
x-5=0→x-5+5=0+5→x=5
x-7=0→x-7+7=0+7→x=7
Answer: x=5 and x=7
Answer: Options B. 7 and D. 5
Answer:
Step-by-step explanation:
H0 : μ = 46300
H1 : μ > 46300
α = 0.05
df = n - 1 = 45 - 1 = 44
Critical value for a one tailed t-test(since population standard deviation is not given).
Tcritical = 1.30
The test statistic :(xbar - μ) ÷ (s/sqrt(n))
The test statistic, t= (47800-46300) ÷ (5600√45)
t = 1500
t = 1500 / 834.79871
t = 1.797
The decision region :
Reject H0: if t value > critical value
1. 797 > 1.30
Tvalue > critical value ; We reject H0
Hence, there is sufficient evidence to conclude that cost has increased.
Answer:
![x=4](https://tex.z-dn.net/?f=x%3D4)
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 8 on both sides:
![-6=-\frac{6}{4} x](https://tex.z-dn.net/?f=-6%3D-%5Cfrac%7B6%7D%7B4%7D%20x)
- Divide both sides by -6/4:
![4=x](https://tex.z-dn.net/?f=4%3Dx)
- Rewrite:
![x=4](https://tex.z-dn.net/?f=x%3D4)
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute:
![2=8-\frac{6}{4}(4)](https://tex.z-dn.net/?f=2%3D8-%5Cfrac%7B6%7D%7B4%7D%284%29)
- Multiply:
![2=8-6](https://tex.z-dn.net/?f=2%3D8-6)
- Subtract:
![2=2](https://tex.z-dn.net/?f=2%3D2)
Answer:
4.92+4z
Step-by-step explanation: