Answer:
The probability that the sample mean will lie within 2 values of μ is 0.9544.
Step-by-step explanation:
Here
- the sample size is given as 100
- the standard deviation is 10
The probability that the sample mean lies with 2 of the value of μ is given as

Here converting the values in z form gives

Substituting values

From z table

So the probability that the sample mean will lie within 2 values of μ is 0.9544.
The number of birthday cards made is 72.
<h3>Description of ratios</h3>
Ratio expresses the relationship between two numbers. It shows the frequency of the number of times that one value is contained in another number. The sign used to represent ratios is :
<h3>Determining the total cards made. </h3>
Total card = (sum of ratios x number of get well cards) / ratio of get well cards
(11 x 60) / 5 = 132
<h3>Number of birthday cards made </h3>
6/11 x 132 = 72 cards
To learn more about ratios, please check: brainly.com/question/25927869
Answer:
A = 38°
B = 50.32°
C = 91.68°
a = 8
b = 10
c = 12.77
Step-by-step explanation:
The first thing is to find the angle B, like this:
sin B = b * sin A / a = 10 * sin (38 °) / 8
sin B = 0.77
B = arc sin (0.77)
B = 50.32 °
For angle C, it would be:
C = 180 - 38 - 50.32
C = 91.68 °
Side c, we calculate it like this:
c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)
c = 12.77
I am writing answers directly.
<h3>1. 5×5=

</h3><h3>2. -5×-5×-5×-5 =

</h3><h3 /><h3>3. 2×2×2=

</h3><h3>4. n×n×n×n×n×n=

</h3>