Answer:
11 miles per hour
Step-by-step explanation:
The biking speed is found by taking the miles and dividing by the hours
33 miles/ 3 hours
11 miles per hour
Let me help you visualize this one.
Let's say we have 12 chickens.
OOOOOOOOOOOO
We divide this group in half (1/2 who tried to cross the road.)
OOOOOO
And here, we need to get 3/4 of the 6 left.
3/4 can be represented as 0.75 of 1.
6 times 0.75 equals to 4.5.
OOOOC (Woah, that chicken is split in half!)
What fraction is 4.5 of the original amount?
Well, that's for you to find out! Good luck in solving this question.
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Mean = 10
Sample size = 9
Standard deviation = 6
We need to find the upper and lower control limits.
so, Lower limit would be
Upper limit would be
Hence, Third option is correct.
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: height of seaweed.
X~N(μ;σ²)
μ= 10 cm
σ= 2 cm
You have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70
P(X≤x)= 0.30
P(X≥x)= 0.70
Using the standard normal distribution you have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then using the formula Z= (X-μ)/σ translate the Z value to the corresponding X value.
P(Z≤z)= 0.30
In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.
z= -0.52
Now you have to clear the value of X:
Z= (X-μ)/σ
Z*σ= X-μ
X= (Z*σ)+μ
X= (-0.52*2)+10= 8.96
The value of seaweed height that divides the bottom 30% from the top 70% is 8.96 cm
I hope this helps!
<em><u>Answer:</u></em>
1/2
1/3
6
1/6
<em><u>Step-by-step explanation:</u></em>
When we are finding the opposite of a scale factor, the scale factor is always the reciprocal. E.g. From S to R, the scale factor is 3, so from R to S, the scale factor is 1/3 so:
1. From T to S, it's the reciprocal of the scale factor (2) so 1/2
2. From S to R, it's the reciprocal of the scale factor (3) so 1/3
3. From R to T, is the from a figure to a figure to a figure so we can multiply the two scale factors (2 and 3) to get 6
4. From T to R, that's the opposite of R to T, so it's the reciprocal of the scale factor from R to T (6) so 1/6
