Null Hypothesis (H0): The average daily water intake of U.S adults is equal to or greater than 40 ounces per day.
Alternative Hypothesis (Ha): The average daily water intake of U.S adults is less than 40 ounces per day.
How to explain the hypothesisCheck Conditions: We need to check whether the sample size is sufficiently large to assume normality of the sampling distribution of the mean. Since the sample size is greater than 30 (n=89), we can assume normality.
We also need to check for independence of observations. The sample is described as "random," so we can assume independence of observations.
Calculate the P-Value: The test statistic is calculated as follows:
t = (sample mean - hypothesized mean) / (standard error of the mean)
= (38.6 - 40) / (8.5 / ✓89))
= -1.729
where the hypothesized mean is 40, the sample mean is 38.6, the sample standard deviation is 8.5, and the sample size is 89.
The degrees of freedom for this test are df = n - 1 = 88.
Using a t-distribution table or software, we find the p-value associated with a t-statistic of -1.729 and 88 degrees of freedom to be 0.045 (approx).
Conclusion: The calculated p-value (0.045) is less than the significance level (α = 0.05), which means that the sample data provides convincing evidence at the a = 0.05 level that U.S adults are drinking under 40 ounces of water per day.
Therefore, we reject the null hypothesis (H0) and conclude that the alternative hypothesis (Ha) is supported. In other words, we can conclude that there is sufficient evidence to suggest that the average daily water intake of U.S adults is less than 40 ounces per day.
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A bag contains two red marbles, four green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
There are 2518 sets of five marbles that include either the lavender one or exactly one yellow one, but not both.
To solve this problem, we need to find the number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both colors. Here's one way to approach the problem:
Number of sets of five marbles that include the lavender one: There is only one lavender marble, so we can choose any 4 other marbles to go with it.
There are a total of 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.
This gives us a total of 7 x 6 x 5 x 4 = 840 possible sets of five marbles that include the lavender one.
Number of sets of five marbles that include exactly one yellow one: There are two yellow marbles,
So there are 2 possible choices for the yellow marble. For each choice, we can choose any 4 other marbles to go with it.
As before, there are 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.
This gives us a total of 2 x (7 x 6 x 5 x 4) = 1680 possible sets of five marbles that include exactly one yellow one.
Number of sets of five marbles that include both the lavender one and exactly one yellow one:
We need to subtract these sets from the total number of sets that include either the lavender one or exactly one yellow one.
We have already found that there are 840 sets of five marbles that include the lavender one, and 1680 that include exactly one yellow one.
To find the number of sets that include both, we can choose any one yellow marble and the lavender one.
There are 2 choices for the yellow marble and 1 choice for the lavender one,
So there are 2 x 1 = 2 possible sets of five marbles that include both the lavender one and exactly one yellow one.
Number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both:
Finally, we need to subtract the number of sets that include both the lavender one and exactly one yellow one from the total number of sets that include either the lavender one or exactly one yellow one.
The total number of sets that include either the lavender one or exactly one yellow one is 840 + 1680 = 2520. The number of sets that include both is 2,
So the number of sets that include either the lavender one or exactly one yellow one, but not both, is 2520 - 2 = 2518.
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ILL GIVE BRAINLIEST!!! The average of x+6, 6x+2, and 2x+7 is 4x-7. What is x?
Answer:
yStep-by-step explanation:
Questions 16. Santhosh and Co. Chennai, opened a branch at Trichy on 1.1.2018. The following Information relate to the branch for the year 2018.
40,000
36,000
9,000
7200
3,600
30,000
16,200
300
3,000
Prepare branch account to find out the profit or loss of branch. Santosh & Co, Chennai opened its branch in Trichy on 1.1.2018. The action for 2018 is as follows
Credit sales at branch
Office expenses by Head office
Cash remittance to branch for petty cash Stock 31.12.2018
Goods sent to Branch
Salaries paid by head office
Debtors 31.12.2018
Petty cash on 31.12.2018
Cash sales at branch
of
The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:
Branch of Santosh & Co. Chennai
Income StatementFor the year ended December 31, 2018
Sales revenue $40,300
Cost of goods sold 4,200
Gross profit $36,100
Expenses:
Office expenses $36,000
Salaries 3,600
Total expenses $39,600
Loss $3,500
What is an income statement?An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.
The profit or loss is the difference between the total revenue and the total expenses for the accounting period.
Credit sales at branch 40,000
Office expenses by Head office 36,000
Cash remittance to branch for petty cash 9,000
Goods sent to Branch 7,200
Salaries paid by head office 3,600
Debtors 31.12.2018 30,000
Petty cash on 31.12.2018 16,200
Cash sales at branch 300
Stock of 31.12.2018 3,000
Sales revenue $40,300 ($40,000 + $300)
Cost of goods sold $4,200 ($7,200 - $3,000)
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2. What is AB? Justify your reasoning 14x-39 6x+17 90°
The length AB of the triangle is 59 units.
How to find the side of a triangle?A triangle is a polygon with three sides equal to each other. The sum of angles in a triangle is 180 degrees.
The line AC is a perpendicular bisector of the line BD. The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from both the endpoints of the line segment on which it is drawn.
Hence,
AD = AB
6x + 17 = 14x - 39
6x - 14x = -39 - 17
-8x = -56
x = -56 / -8
x = 7
Therefore, let's find AB
AB = 14(7) - 39
AB = 98 - 39
AB = 59 units
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what is the answer for 300 x 118 estimate
Answer:
35400/35000 estimated answer and with the multiples estimated (300 x 100) its 30000
Step-by-step explanation:
Answer:
36,000
Step-by-step explanation:
300 * 120 = 3 * 12 * 100 * 10 = 36 * 1000 = 36,000
Answer: 36,000
A box contains 54 coins which are either 20-cent coins or 50-cent coins. If the total value of all the coins is $20.70, find the number of 20-cent coins in the box. LOF 1 11.
Number of 20-cent coins in the box are 33.
1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.
2. We can set up two equations based on the given information:
- x + y = 54 (since the total number of coins in the box is 54)
- 0.20x + 0.50y = 20.70 (since the total value of all the coins is $20.70)
3. We can multiply the second equation by 100 to get rid of the decimals:
- 20x + 50y = 2070
4. Now, we can use the first equation to express y in terms of x:
- y = 54 - x
5. Substitute the value of y in the second equation:
- 20x + 50(54 - x) = 2070
6. Simplify and solve for x:
- 20x + 2700 - 50x = 2070
- -30x = -630
- x = 21
7. Substituting the value of x back into the first equation:
- 21 + y = 54
- y = 33
8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.
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which of the following must be true to prove abc = def by the aas the theorem
For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins. Do
you conclude that he is just very lucky? In two ôr more complete sentences, explain why or why not you conclude that
the owner of the dice is lucky.
He isn't lucky nor unlucky
Step-by-step explanation:
If The owner Wins every round/time he has to be skilled if he's winning for several hours
At Bob's Auto Plaza there are currently 15 new cars, 4 used cars, and 4 new trucks. But, there are no used trucks. Bob is going to choose one of these vehicles
at random to be the Deal of the Month. What is the probability that the vehicle that Bob chooses is used or is a truck?
Do not round intermediate computations, and round your answer to the nearest hundredth.
(If necessary, consult a list of formulas.)
Answer:
34.78%
Step-by-step explanation:
There is 4 trucks and 4 used cars= 8 total vehicles he'll choose. There is a total of 23 vehicles.
8/23= 0.3478... You move the decimal over two places, which gives you 34.78%
can i plz get help? on these ?
Step-by-step explanation:
she is showing how many wheels are on each bike and skateboard,on each bike there are 2 wheels,on each skateboard there are 4 wheels. sarahs is different because she shows how many wheels are on each of those bikes
In an equilateral triangle, all side lengths are equal and all angle measures are equal. Sketch an equilateral triangle. What are the measures of its angles??
Answer:
every angle equals 60°
Step-by-step explanation:
the sum of angles of any triangle is 180 so the equilateral triangle have all angles equal so 180 ÷ 3 = 60
3
A Rubik's Cube has a volume of 10 cm
1) Write an equation to find the length of the sides.
2) Find the length of the side to the nearest tenth.
Answer:
The formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.
Step-by-step explanation:
Given that a Rubik's Cube has a volume of 10 cm, to write an equation to find the length of the sides and find the length of the side to the nearest tenth, the following calculations must be performed, knowing that the volume of a cube is obtained to enhance one of its sides to the third:
X ^ 3 = 10
X = 3√ 10
X = 2.15
Thus, the formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.
What is the value of x?
Step-by-step explanation:
Given in the picture that,
2x + 2x + 2x + 2x + 2x = 11
So, by the problem,
=> 2x + 2x + 2x + 2x + 2x = 11
=> 10x = 11
\( => x = \frac{11}{10} or \: 1.1(ans)\)
Hence required value of x is 1.1 (Ans)
Express the product of Prime factor of 17325
Answer: 3 x 3 x 5 x 5 x 7 x 11.
Step-by-step explanation:
Prime Factors of 17325 are 3, 5, 7, 11, and usually expressed as 3 x 3 x 5 x 5 x 7 x 11.
geometry math problems
which one would be the correct answer
=======================================================
Explanation:
Your teacher wants you to use the angle-angle-side congruence theorem, which abbreviates to AAS. Note in the diagram that we have two pairs of angles marked.
Angle P = Angle U (double arcs)Angle Q = Angle S (single arcs)So we have the info about the angles being congruent, and that takes care of the two "A"s in AAS.
We just need a pair of sides to be congruent. Specifically, we need the pair of sides that are not between the angles mentioned for either triangle. If we went for this option, then we'd go for ASA instead of AAS. The order is important.
So we have two possible answers
PR = UTQR = STIf either of those were given to us, then we can use the AAS theorem. Unfortunately PR = UT isn't listed, but QR = ST is listed. So this is why choice B is the answer.
Side note: Both QR and ST are opposite the double arc angle.
Answer:
QR≅ST
Step-by-step explanation:
With AAS congruence, you need 2 angles and a non-included side. On ΔPQR, that could be either PR or QR. PQ is the included side as it is between the angles, and therefore cant be used for this congruence theorem.
As said above, it can be either PR or QR, but it has to be QR in this case as there is no answer option for PR.
On the other triangle, the corresponding side is ST. ∠S and ∠Q are corresponding, and US is the included side, so that leaves only ST.
Finally, the information you need to prove that the triangles are congruent is QR≅ST.
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Log22/Log9 express log_9 22 in terms of common logarithms
What is common logarithms?Common logarithms, is commonly describd as base-10 logarithms.
It is a type of logarithm that involve taking the logarithm of a number with respect to the base of 10.
This means that common logarithms show how many powers of ten must be increased to get a particular number. The usual logarithm of 100, for example, is 2, because 10 raised to the power of 2 equals 100.
The answer provided is based on the full question below;
-------------express log_9 22 in terms of common logarithms
a. Log 22/9
b. Log 198
c. Log22/Log9
d. Log9/Log22
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$332.8 30percent off
Answer:
232.96$
Step-by-step explanation:
Find the area of a trapezoid with bases of 16 feet and 10 feet and a height of 3 feet. 39 ft2 78 ft2 240 ft2 480 ft2
Answer: 39 ft2
Step-by-step explanation:
The area of the trapezoid is 39 square feet.
To find the area of a trapezoid, you can use the formula:
Area = (1/2) × (base1 + base2) × height
Given that the bases of the trapezoid are 16 feet and 10 feet, and the height is 3 feet, we can substitute these values into the formula:
Area = (1/2) × (16 + 10) × 3
Area = (1/2) × 26 × 3
Area = (1/2) × 78
Area = 39 ft^2
Therefore, the area of the trapezoid is 39 square feet.
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Plzzzzz help right answer gets a brainly!
Answer:
25
Step-by-step explanation:
Answer:
11 its 11 its 11 its 11 its 11 its 11
If 18,x+15,27 and 2x+7 are in proportion,find the value of x
Step-by-step explanation:
slndkndjakabssj
pasensya na god bless!!!!
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
In
△
B
C
D
,
△BCD,
B
C
‾
≅
D
B
‾
BC
≅
DB
and
m
∠
B
=
6
2
∘
.
m∠B=62
∘
. Find
m
∠
D
.
m∠
Answer:
m∠D = (180 - 62) / 2 = 59°
Step-by-step explanation:
Also m∠C = 59°
LAST ONE ASAP LETSSS GOOOOO
Answer:
a) 3:4
b) It is proportional because for the glacier advances 3 feet every 4 days in both January and February
Hope this helps!
5.73 Evaluate the expression for 2 22 2. I will give brainliest
Answer:
10Step-by-step explanation:
5·x³/x² = 5·x = 5·2 = 10AAAAAAA HELP ME PLZZZZ
Answer:
12 i believe
Step-by-step explanation:
volume; LxWxH
3x2x2
3x2=6
6x2=12
sorry if this is wrong lol but this is what i believe it is
Which of the following statements is not true?
Choose the incorrect statement below.
The three-part inequality - 1 <-3x ≤ 1 is equivalent to -5x<
15x2
<3 is equivalent to -6≤5-x<6.
The three-part inequality - 3s-
OD. The three-part inequality -7≤11-x<7 is equivalent to 4 < x≤ 18.
OA.
OB.
C.
The three-part inequality -5s-10x<5 is equivalent to
5-x
...
The incorrect statement is:
B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.
In the given statement, there is an error in the inequality. The correct statement should be:
The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.
When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:
- 5x < 15x^2 and 15x^2 < 3
Simplifying the first inequality:
- 5x < 15x^2
Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:
- 5 < 15x
Simplifying the second inequality:
15x^2 < 3
Dividing by 15, we get:
x^2 < 1/5
Taking the square root (assuming x ≥ 0), we have two cases:
x < 1/√5 and -x < 1/√5
Combining these inequalities, we get:
- 5 < 15x and x < 1/√5 and -x < 1/√5
Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.
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how much simple interest does $3000 earn in 3 months at 7.85% interest? balance?
Answer:
It will earn 0.55 x 4000 = ? annually.
? x 2.5 years = total interest earned.
4000 + interest earned = balance at maturity.
Step-by-step explanation:
By recognizing the series as a Taylor series evaluated at a particular value of x, find the sum of each of the following convergent series
1 + 3 + 9/2! + 27/3! + 81/4! + .....
Answer:
the answer should be e^3
Step-by-step explanation:
i hope it helps you
6x + y = 8
y= -6x + 8
Answer:
y = -6x + 8
Step-by-step explanation:
\begin{bmatrix}6x+y=8\\ y=-6x+8\end{bmatrix}
I don't know why it came out like this
(sin10+cos10)²(1-sin20)-cos²20
Answer:
0.
Step-by-step explanation:
I am assuming you want to evaluate
(sin10+cos10)²(1-sin20)-cos²20
That evaluates to 0.