Answer:
The required hypothesis to test is 
and 
.
Step-by-step explanation:
Consider the provided information.
It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.
She would now like to determine whether or not the mean age of her customers is over 30.
Null hypotheses is represents as 
. Thus the null hypotheses is shown as:
The alternative hypotheses is represents as 
. Thus the alternative hypotheses is shown as:
Hence, the required hypothesis to test is and .
To answer this question you will use ratios. The information given gives us a part to part ratio of 1 part vinegar for every 3 parts oil.
Because the total amount of furniture polish is 30 ounces, we will need to write one part vinegar to three parts oil as a part to part to whole ratio.
Use this information then and create an equivalent ratio with a total of 30 ounces. See below.
1 vinegar (x7.5) = 7.5 ounces
3 oil. (X7.5). = 22.5 ounces
4 total (x7.5). = 30 ounces
You will need 7.5 ounces of vinegar and a 22.5 ounces of oil.
Answer:
Step-by-step explanation:
Two consecutive integers be x and (x+1)
x + x +1 = 7²
2x + 1 = 49
2x = 49 - 1
2x = 48
x = 48/2
x = 24
The consecutive integers are: 24,25
Answer:
Answers A (1/3), C (4/15) and D (5/6) are all repeating decimals.
Step-by-step explanation:
Repeating decimals are decimals in which a number or sequence of numbers is repeated over and over when dividing the numerator by the denominator of a fraction. For example, when you divide 1 by 3 (1/3), you will get a repeating decimal of 0.3333...since 3 goes into 10 three times with a remainder of 1 and will keep going. Likewise, when you divide 4/15, you get an initial value of 0.2, with a repeating 6, or 0.266666... Lastly, when you divide 5/6, you will get a repeating decimal of 0.833333.... The other answers will all be terminating decimals when you divide the numerator by the denominator. Terminating decimals mean the stop at some point and don't continue.
Answer:
7.5 Quarts
Step-by-step explanation:
D'Naisa mixed the following:
- 1 gallon of orange paint
- 2 quarts of yellow paint
- 3 pints of red paint.
We are to determine in total, the number of quarts of paint that she mixed. this is done by converting each of the volume to quart.
<u>1 gallon of orange paint</u>
- 1 gallon = 4 Quarts
- Orange Paint=4 Quarts
<u>3 pints of red paint.</u>
- 1 pint =0.5 quart
- 3 Pints =3 X 0.5 Quart
- =1.5 Quart of red paint
Therefore,
Total Volume of Paint Mixed in quart= Volume of Orange+Yellow+Red
=4+2+1.5
=7.5 Quarts
