The maintenance crew of a hotel has to monitor the temperature of the hotel pool and hot tub. To enhance comfort, the management team requests that the mean pool temperature and the mean hot tub temperatures not differ by more than 15 degrees. To estimate the difference in these mean temperatures the maintenance crew selects a random sample of 8 times to check the hot tub temperature and a random sample of 10 times to check the pool temperature. Although the sample sizes are small, the distribution of temperature for the pool and for the hot tub does not show strong skewness or any outliers. The mean pool temperature is 86 degrees with a standard deviation of 3 degrees. The mean hot tub temperature is 101 with a standard deviation of 1.8 degrees. What is the correct 95% confidence interval for the true difference in the population means (hot tub – pool)? Use the conservative df.
Answer: Option D
Explanation: 100%
Evaluate:
-6 ÷ 3
(-2)(-3)
8 - 4 ÷ -2
14 - 8 ÷ 4 × 0(5 - 3)
-6 ÷ 3=__
6 ÷ 3=2
-+2
=-2
(-2)(-3)=__
-2*-3
=6
8 - 4 ÷ -2=__
4÷-2=-2
8--2
=10
4 - 8 ÷ 4 × 0(5 - 3)
=4
hope this helped ○( ＾皿＾)っ
Mr. Garvey is almost finished working on his rectangular patio. He has ordered enough patio stones to cover an area of 600ft2. He knows that his yard is 30ft wide. He also remembers that there is an equation for areas of a rectangle: FASTTTTT
Answer:
20 ft
Step-by-step explanation:
Area of a rectangle = length x width
600 ft^2 = 30 ft x length
length = 600 / 30
= 20 ft
Express y in terms of x.
Variables x and y are related so that, when
[tex]y ^{2} [/tex]
is plotted on the vertical axis
and
[tex]2 ^{x} [/tex]
is plotted on the horizontal axis, a straight-line graph which passes
through the point (8, 49) with gradient 3 is obtained.
a Express ya in terms of
[tex] {2}^{x} [/tex]
.
b Find the value of x when y = 11.
Answer: Saya benar-benar membutuhkan poin tetapi saya tidak ingin dilaporkan jadi saya meletakkan ini adalah terjemahan untuk bahasa yang berbeda. Saya minta maaf untuk umpan atau apa pun namanya tetapi saya benar-benar membutuhkan poin.
Step-by-step explanation:
List all the multiples of 3 less than 14.
Answer:
3, 6, 9, 12
Step-by-step explanation:
3 × 1 = 3
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
Answer:
3 6 9 12
Step-by-step explanation:
1 x 3 = 3
2 x 3 = 6
3 x 3= = 9
3 x 4 = 12
3 x 5 = 15 <------ TOO MUCH
Multiples are numbers that can be divided by that number you are finding out the multiples.
Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be
Answer:
$130,626.56
Step-by-step explanation:
Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be?
We are told that: She obtained a 25/8 balloon mortgage at 3.85%
This means the loan is amortized for 25 years and she would be monthly payment for 8 years before making the balloon payment.
Step 1
We find Monthly payments
Pmt = (A * i * (1 + i)ⁿ) / ((1 + i)ⁿ - 1)
Where:
Pmt - monthly payment;
A - Loan amount = $168,125
i - periodic interest rate = 3.85% = 0.0385
and
n - number of periods =
1 year = 12 months
8 years = x
x = 8 × 12 months = 96 months
n = 96 months
Pmt = (168,125 × 0.0385 * (1 + 0.0385)⁹⁶) / ((1 + 0.0385)⁹⁶- 1)
Pmt = $873.56
Step 2
When we find the monthly payment, we can compute the balance due after the term of a balloon loan.
B = (A * (1 + i)ⁿᵇ) - Pmt / i * ((1 + i)ⁿᵇ - 1)
Where:
B - Balloon payment
nb - Number of balloon loan periods =
Pmt - Monthly payment = $873.56
B = (168,125 × (1 + 0.0385)⁹⁶) - 873.56 / 0.0385 × ((1 + 0.0385)⁹⁶- 1)
B = $130,626.56
select the inequality that is represented by the number line below
NO LINKS OR I WILL REPORT
Answer:
a) x<0
Step-by-step explanation:
the circle is not solid so it’s just a less than a sign and the arrow is going less than 0 so x is less than 0 is the answer
hope this helps :)
A student has taken three math tests so far this semester. His scores for the first three tests were 65, 67, and 69. Suppose his test scores continue to improve at the same rate. What will be his grade on the sixth (and final) test? What will be his total score for all six tests?
Answer:
75
Step-by-step explanation:
Scores for his first tests were 65, 67, 69.
Rate of change: +2
y=2x+63; 63 is the 0th test he took, his first test was 65, so 65-2=63. 2x is the rate of change, his tests scores increase by 2 each time.
x=6, 6th test score
y=2(6)+63
y=12+63
y=75
So, on his 6th test he will get a score of 75
50 pt = ?gal
50 pt = ?pt
PLEASE HELPPPP
Answer:
50 pints is 6.25 gallons.
What do you mean by the second one?
Step-by-step explanation:
50 ÷ 8 = 6.25
Answer:
50 pints is 6.25 gallons.
50 ÷ 8 = 6.25
Step-by-step explanation:
what type of question can be solved using Cramer's rule?
Answer:
check the pdf .
Step-by-step explanation:
Cuanto de dos mas dos
Answer:
Probably 4
Step-by-step explanation:
My day was pretty great, so I felt like answering this question to help out in any way possible. I hope to hear about your day, too, soon!
Springs are used to measure the mass of objects. The extension of a spring, E centimeters, is
directly proportional to the mass, M kilograms, of the object hanging from the spring. A 4-kg
load stretches a spring by 2.5 cm. If a 6-kg load is hung on the spring, find the extension of the
spring in centimeters.
Answer:
The extension of the 6-kg load is 3.75 cm
Step-by-step explanation:
4/2.5 = 6/x
Cross multiply:
4x = 15
15/4 = x
x = 3.75
Bilbo found a great deal on rings. He bought a ring for 70% of the original price. If he saved $45, what was the original price?
Answer: $150
Step-by-step explanation:
If Bilbo bought the ring for 70% of the original price, this means that he saved:
= 100% - 70%
= 30%
$45 is therefore 30% of the original price.
Assuming the original price is x:
30% * x = 45
x = 45/30%
x = $150
What is the length of the unknown
leg of the right triangle?
Answer:
2ft
Step-by-step explanation:
Which transformation carries the regular pentagon onto itself?
Answer: rotations
With regard to the regular pentagon, the student describes the center of rotation as the point where the diagonals intersect. The student indicates that rotations of degree 72, 144, 216, 288, and 360 clockwise and counterclockwise about this point will carry the pentagon onto itself.
HOPE THIS HELPS
20 points!!! Permutations and combinations question.
Answer:
7,9,10
hope it helps
have a good night
The formula for the area of a circle is A = π r^2? Which equation shows the formula in terms of r?
What is the surface area of a cube that has a radius of 9 ft and height of 3 ft
Answer:
If it has a radius of 9 then the length will be 18 and it would be a 18 by 3 shape and that's not a cube....
Step-by-step explanation:
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
the answer is what you think it is fam on foenem
the temperature in november was less than 55 degrees every day which inequality shows the temperature in november
Answer:
a. x < 55
Step-by-step explanation:
We know that the temperature in November was less than 55° every single day, we are then asked to find which inequality out of the four given shows the temperature in November.
To do so, take the most crucial information, "the temperature in November was less than 55° every single day." The words "less than" makes us know that we will be using the sign "<". Looking at the answers, we see only one that uses it, and that is a.
Therefore a is the correct answer.
A recipe calls for 1/2 of a teaspoon of sugar for every 15 cookies. If you are going to make 75 cookies for a party, how many teaspoon of sugar will you use.
Answer:
2.5 teaspoons
Step-by-step explanation:
75/15 = 5
1/2 · 5 = 2.5
Answer:
2.5 teaspoons of sugar
Step-by-step explanation:
[tex]\frac{15}{0.5} =\frac{75}{y}[/tex]
Cross multiply.
15 × y = 0.5 × 75
15y = 37.5
15y ÷ 15 = 37.5 ÷ 15
y = 2.5
i need heeeeeelp please and thank you :)
Help, this is confusing for me
Answer:
B: 163,343
Step-by-step explanation:
V=πr²h 34²=1156, 1156×45=52020, 52020×3.14(π)=163,342.8, then round up.
Help I’ll give brainliest!
Answer:
-2.8
Step-by-step explanation:
Gradient/slope = [tex]\frac{-11 - 3}{3--2}[/tex] (change in y / change in x)
= [tex]\frac{-11 - 3}{3+2}[/tex] =[tex]\frac{-14}{5}[/tex]= -2.8
plz help with both questions (no link plz) 15 point and will make brainly
Answer:
question 5) 340.5
Step-by-step explanation:
abigails decorating buissness charge for every hour = $100+$13.50= 113.5
for 3 hour charges will be= 113.5 x 3= 340.5
hope it helps ❤️
6+1+7+8+9+5+4+6+7+7+7+7+7
Answer:81
Step-by-step explanation: calculator cause I got Mind jambled-
Answer:
[tex]81[/tex]
Step-by-step explanation:
6 + 1 + 7 = 14
8 + 9 + 5 = 22
4 + 6 + 7 = 17
7 + 7 + 7 + 7 = 21.
now add all of the results together.
14 + 22 + 17 + 21 = 81
hence, the answer is 81.
The sum of a number and 2.
Answer:
whats the question
Step-by-step explanation:
3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers
Answer:
2, 5, 8
Step-by-step explanation:
For starters, let us assume that the numbers are x-d, x, and x+d.
Where d is the common difference between terms.
This mean that we can say, from the question
x-d + x + x+d = 15
3x = 15,
x = 5,
This means that the terms are 5, 5-d and 5+d.
On the other hand,
(5-d) * 5 * (5+d) = 80
(5-d) * (5+d) = 80/5
(5-d) * (5+d) = 16
25 - d² = 16
d² = 9
d = + or - 3.
Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.
Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces.
Which factorization could represent the number of water bottles and weight of each water bottle?
6(10x2 + 8x + 2)
12(5x2 + 4x + 2)
6x(10x2 + 8x + 2)
12x(5x2 + 4x + 2)
Answer: 12(5x2 + 4x + 2) is correct answer
Step-by-step explanation:
60x2 + 48x + 24
if we take 6 as a common factor
6(10x^2+8x+4) so first option is not true
if we take 12 as a common factor
12(5x2 + 4x + 2)
6x & 12x can not be taken as common factor..
so the correct option is 2nd one..
Help please will give brainiest
Write the equation of the line in Slope-Intercept Form.
(0,4) (3,2)
Answer:
y = -3/2x+ 4
Step-by-step explanation: