Get x by itself.
First add 11 to both sides:
5x = 45
Then divide both sides by 5:
x = 9
Answer: 1728
Step-by-step explanation: You multiply 12 times 12 because we have to find how many items are in a 12 dozen first which is 144 because there are 12 items in one dozen. We already know that there are 144 items in 12 dozens and there are 12 dozens in a gross, which is 144 items in total. Now we have to multiply 144 times 12 to find how many items are in a great gross. 144 times 12 is 1728.
Answer:
There is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds
Step-by-step explanation:
We shall need to formulate the hypotheses but first we need to understand the claim in context of this question. The claim is that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. In mathematical notation, this claim can be written as follows;
σ = 15
Clearly the claim contains an equality sign and thus it qualifies to be our null hypothesis;
H0: σ = 15
The complement of the above hypothesis will be our alternative hypothesis;
Ha: σ ≠ 15
We are then informed that the initial conclusion of the test fails to reject the null hypothesis. In short this implies that we fail to reject the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds since this claim is our null hypothesis. If we fail to reject a claim in hypothesis testing, this implies that there is sufficient evidence to support the claim. Therefore, there is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds
<h3>
Answer: x = 12</h3>
Explanation:
The two angles shown are vertical angles. This occurs whenever you have an X shape like this, and whenever the angles are opposite one another. Vertical angles are always congruent.
6x+7 = 8x-17
6x-8x = -17-7
-2x = -24
x = -24/(-2)
x = 12
