Answer:
There is ample evidence to substantiate the assertion that the standard deviation of the duration all women take to wash their hair in the morning is 15 seconds
Step-by-step explanation:
We must first articulate the hypotheses while comprehending the statement’s context. The assertion claims that the standard deviation of time spent washing hair in the morning by all women is 15 seconds. In mathematical symbols, we express this as follows:
σ = 15
The presence of an equality sign qualifies this assertion as our null hypothesis;
H0: σ = 15
Our alternative hypothesis is the negation of the prior hypothesis;
Ha: σ ≠ 15
We learn that the preliminary outcome of the test does not reject the null hypothesis. In simple terms, this indicates that we do not reject the assertion that the standard deviation of time all women spend washing their hair in the morning is, in fact, 15 seconds, as this assertion represents our null hypothesis. A failure to reject a hypothesis during testing signifies that there is enough evidence to support it. Hence, there is enough evidence to affirm that the standard deviation of time all women spend washing their hair in the morning is 15 seconds
Answer:
Wyatt participated in 3 games and enjoyed 6 rides
Step-by-step explanation:
Let x represent the number of games
And let y represent the number of rides
Each game costs $1.25
Each ride costs $2.75
The total expenses incurred by Wyatt amounted to $20.25
Thus, the equation becomes: x1.25 + y2.75 = 20.25..... Equation 1
The number of rides he enjoyed is double the games he competed in
Y = 2x... Equation 2
By substituting the value of y into equation 1
x1.25 + y2.75 = 20.25
x1.25 + 2(x)2.75 = 20.25
x1.25 + x5.5 = 20.25
x6.75= 20.25
x= 20.25/6.75
X= 3
Y= 2x
Y= 2(3)
Y= 6
Thus, Wyatt participated in 3 games and enjoyed 6 rides
For one day:
= £9.20 × 7
= £64.40
For six days:
£64.40 × 6 = £386.40
After sharing with his mom:
£386.40/7 × 5
= £55.20 × 5
= £276
To purchase a car worth £1932:
£1932/£276 = 7
Thus, he needs 7 weeks to save enough for the car priced at £1932.
Answer: a) 
b) 
Step-by-step explanation:
a) To achieve an even total, there are 3 possible combinations:
1) Even, Even, Even, Even 
2) Even, Even, Odd, Odd
3) Odd, Odd, Odd, Odd
Order is irrelevant
Summing these yields your final result: 
b) If one die shows a 2 and another a 3, while the remaining two can show any digits, there’s only one way to get a 2, one way for a 3, and six potential numbers for each of the other two dice.
