Each student gets 1/8 of the cake.
we multiply 1/8 and 3/4. To do that we multiply the numerators together and the denominators together. This gives (1*3)/(8*4) =3/32 of the cake
Answer:
tan∠E=1/3
Step-by-step explanation:
Tangent or opposite/adjacent of angle E is segment HF/3 to solve for HF you can use sine of H opposite over hypotenuse or √8/HF=sin45°. Rearranging the equation you get √8/sin45°=HF and sin45°= 2√2 so √8/2√2=1 HF=1 now you know that tan(∠E)=1/3.
The equation that models the number of funnel cakes and Oreos he can buy is 3.50x + 2.0y = 42
Data given;
- Cost of Oreos = $2.00
- The total amount spent = $42.00
<h3>What is the Equation</h3>
To solve this problem, we just need to write out an equation to show how he can spend $42.00 in the fair on Oreos and Cakes.
Let x represent the cakes
Let y represent the Oreos
The equation is thus;

The equation that shows the number of Cakes and Oreos can by is
3.50x + 2.0y = 42
Learn more about equation here;
brainly.com/question/13729904
<h3>
Answer: 41 cm^2</h3>
Explanation:
Form a horizontal line as shown below (see attached image). This forms 2 separate smaller rectangles
- The bottom rectangle has area of 4*8 = 32 cm^2
- The top rectangle has area of 3*3 = 9 cm^2
The total area is therefore 32+9 = 41 cm^2
You can say "square cm" or "sq cm" in place of the "cm^2".
Answer:
a)
b) 
c) 
d) 
Step-by-step explanation:
Let X the random variable that represent the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. We know that
The probability mass function for the random variable is given by:
And f(x)=0 for other case.
For this distribution the expected value is the same parameter
,
, 
a. Compute both P(X≤4) and P(X<4).
Using the pmf we can find the individual probabilities like this:




b. Compute P(4≤X≤ 8).







c. Compute P(8≤ X).


d. What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation?
The mean is 4 and the deviation is 2, so we want this probability




