Answer:
Step-by-step explanation:
Given : The probability that an adult was never in a museum is : p=0.10
The number of adults randomly surveyed: n = 60
In Binomial distribution , the formula to find the mean and the standard deviation is given by :-
Then , the mean and standard deviation of the number that were never in a museum will be :-
Answer:
Step-by-step explanation:
You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.
Pink Lemonade Yellow Lemonade TOTAL
Male 156 104 260
Female 72 48 120
TOTAL 228 152 380
P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6
P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6
Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6
Answer:
Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.
Step-by-step explanation:
This question can be solved by a rule of three.
Government statistics show a consumer price index of 15.2 for 1931 and 237 for 2015.
This means that $15.2 in 1931 is equivalent to $237 in 2015. So
$15.2 in 1931 - $237 in 2015
$80,000 in 1931 - $x in 2015
Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.
Add all of the percents up and then divide by 3. You get 89.6%
Answer:
4
Step-by-step explanation:
Let's set up an equation using the formula for the area of a triangle.
Hint #22 / 3
\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ 12&= \dfrac12 \cdot 6 \cdot x \\\\ 12&= 3x \\\\ \dfrac{12}{\blueD{3}}&= \dfrac{3x}{\blueD{3}} ~~~~~~~\text{divide both sides by } {\blueD{ 3}}\\\\ \dfrac{12}{\blueD{3}}&= \dfrac{\cancel{3}x}{\blueD{\cancel{3}}}\\\\ x &=\dfrac{12}{\blueD{3}}\\\\ x &=4\end{aligned}
Area of a triangle
12
12
3
12
3
12
x
x
=
2
1
⋅base⋅height
=
2
1
⋅6⋅x
=3x
=
3
3x
divide both sides by 3
=
3
3
x
=
3
12
=4
