1. x= 11.7 μ = 7
2. z11.7= 1.3
3. Is 11.7 within a z-score of 3?
a. Yes because z11.7 < 3.
4. Which statement is true of z11.7?
b. z11.7 is between 1 and 2 standard deviations of the mean.
<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is 
We have to solve the above expression using change of base formula which is given as

Now, let us first apply logarithm for the given expression.
Then given expression turns into as, 
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
<span>The dimensions are 40 inches by 55 inches.
Explanation<span>:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.
Combining like terms, we have
2y+22/8y=190.
Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.
Divide both sides by 4 3/4:
(4 3/4y)</span></span>÷<span><span>(4 3/4)=190</span></span>÷<span><span>(4 3/4)
y=190</span></span>÷<span><span>(4 3/4).
Convert the mixed number to an improper fraction:
y=190</span></span>÷<span><span>(19/4).
To divide fractions, flip the second one and multiply:
y=190*(4/19)=760/19=40.
Since y=40, 11/8y=11/8(40)=440/8=55.</span></span>
Answer:
Probability = 0.502
Step-by-step explanation:
We are given the following data :
Hours Count Percent
1 18 3.44
2 55 10.50
3 81 15.46
4 109 20.80
5 88 16.79
6 66 12.60
7 39 7.44
8 17 3.24
9 17 3.24
10 19 3.63
15 15 2.86
We need to calculate the probability
P(Length of stay of exactly 1 is less than or equal to 4)
P(
) = P(Y = 1) + P(Y = 2) + P(Y = 3) + P(Y = 4)

We convert the percent into probabilities by dividing them with 100. This gave us the required probabilities.
Answer:
128
Step-by-step explanation:
You have two jars and seven marbles.
You do
.
That is 128