find the slope, (-2,-2) and (1,4)
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%
What is the value of y in the equation 2(2y - 12) = 0?
4
6
7
8
Answer:
The second option, 6
Step-by-step explanation:
opening the parentheses, the equation becomes,
4y - 24 = 0
4y = 24
y = 6
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 29 feet, and the length of the other base is 24 feet. The height is 12 feet. What is the area of this section of the deck?
Answer:
A=318
Step-by-step explanation:
A= a+b/2h=24+29/2.12=318
The volume of a rectangular prism is 473.2 cubic millimeters. If the length is 7 millimeters and the width is 10.4 millimeters, what is the height of the rectangular prism?
Answer:
c
Step-by-step explanation:
it is
Identify the y intercept of the function -3(3)^x +4
A) (0,-3)
B) (0,1)
C) (0,-7)
D) (0,4)
Please help :(
37).
I have read 313 pages of my 1298 pages book. How many pages
must I read until I reach the middle?
Answer:
336
Step-by-step explanation:
Answer:
you should read 336 pages for you to reach the middle.
Step-by-step explanation:
1298/2--649
649-313--336
what is the image of (-4,-2) after a reflection over the y=-x
Answer:
(2,4)
Step-by-step explanation:
because the coordinates change places and signs
Answer:
(- 4, - 2 )
Step-by-step explanation:
please help
2y+x=-15
y=2x
Answer: x = -3
Step-by-step explanation:
2y + x = -15
y = 2x
2y = 2(2x) = 4x
4x + x = -15
5x = -15
x = -3
Prove algebraically that the square of any number is always 1 more than a multiple of 8
Answer:
This is interesting but I don't think it's provable (unless it's just the square of odd numbers).
3² = 9, which is 1 more than a multiple of 8 (8)
4² = 16, which is not 1 more than a multiple of 8 (8)
5² = 25, which is 1 more than a multiple of 8 (24)
6² = 36, which is not 1 more than a multiple of 8 (32)
7² = 49, which is 1 more than a multiple of 8 (48)
8² = 64, which is not 1 more than a multiple of 8 (64)
9² = 81, which is 1 more than a multiple of 8 (80)
10² = 100, which is not 1 more than a multiple of 8 (96)
You have 4 pounds of peanuts. You want to put it in the bags so that there is 2/3 pounds in each bag. How many bags can you fill ?
Answer:
6 bags
Step-by-step explanation:
This problem is essentially asking how many ([tex]\frac{2}{3}[/tex]) peanut bags can one fill with ([tex]4[/tex]) pounds of peanuts. This problem can be solved by divided ([tex]4[/tex]) by ([tex]\frac{2}{3}[/tex]). Set up the problem,
[tex]4[/tex] ÷ [tex]\frac{2}{3}[/tex]
In order to divide by a fraction, one must change the multiplication sign to a division sign, then take the reciprocal of the second number, the fraction. In order to take the reciprocal of a fraction, switch the numerator (number on top) and the denominator (number on the bottom).
[tex]4 * \frac{3}{2}[/tex]
Multiply,
[tex]\frac{12}{2}[/tex]
Simplify,
[tex]6[/tex]
The population of rabbits on an island is growing exponentially. In the year 2000, the
population of rabbits was 220, and by 2004 the population had grown to 350. Predict
the population of rabbits in the year 2011, to the nearest whole number.
Answer:
Step-by-step explanation:
630
Answer:
789 to nearest whole number.
Step-by-step explanation:
In 4 years its increased from 220 to 350.
350 = 220(e)^4k where k is some constant.
e^4k = 350/220
4k = ln (350/220) = 0.4643
k = 0.1161
The equation of growth is therefore
P = 220e^0.1161t)
So in 2011 ( t = 11 years) the
Population = 220 * e^(11*0.1161)
= 789.
Choose all of the values for x that are solutions to x < -2.
A.x=0
B. x=2
C. x= -2
D.x=-1/2
E. x= -4
Mark invests £12000 in a savings account. the account pays 1.5% compound interest per year. work out the value of her investment after two years?
Answer:
FV= £12,362.7
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= £12,000
Number of periods (n)= 2 years
Interest rate (i)= 1.5% = 0.015
To calculate the Future Value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 12,000*(1.015^2)
FV= £12,362.7
Can someone help me please
Answer:
A. T > 50
Step-by-step explanation:
please dont guess<3!!!
Answer:
I'm sorry I wont guess, I dont know
HELP PLEASE!
Eight light poles are evenly spaced along a street. A total of 140 plastic pipes of the same length are placed EQUALLY between the 8 poles.
a) How many pipes are placed between the FIRST and SECOND poles?
b) Each pipe is 6 meters long. The pipes are connected end to end just touching each other between the poles. What is the distance between the first and second poles?
Answer:
n m n .m .nmn nm Step-by-step explanation:
36 POINTS! PLEASE HELP!!!! PLS-
Use ⊙N with KL≅JM.
What is JM?
a) 17
b) 30
C) 15
d) 8
Answer:
you correct answer should be 17
A certain bank offers a car loan with a fixed annual interest rate. Justine applied for the loan and used the entire amount to buy a car worth $43,000. He had to pay the bank for five years for a total amount of $51,600. How much would be the yearly interest if Justine borrowed $50,000 instead? *
0 points
Answer: $10000
Step-by-step explanation:
From the question,
Principal = $43000
Time = 5 years
Rate = Unknown
Simple Interest = $51,600 - $43000 = $8600
We need to calculate the rate of interest which will be:
Interest = PRT/100
8600 = (43000 × 5 × Rate) / 100
Cross multiply
8600 × 100 = 215000 × Rate
Rate = 860000 / 215000
Rate = 4%
Assuming Justine borrowed $50,000 instead, the yearly Interest will be:
= (50000 × 5 × 4%)
= 50000 × 5 × 0.04
= $10000
If a angle on the circumference of a circle is subtended by a diameter of the circle what is the angle
Answer:
The angle is 90 degrees
Step-by-step explanation:
Required
Angle subtended by the diameter
The theorem to solve this is:
The angle subtended by an arc is twice the angle it subtends.
The diameter forms [tex]180^\circ[/tex] on the circle, so we have:
[tex]2*\theta = 180^\circ[/tex]
Where [tex]\theta[/tex] is the angle subtended
Solve for [tex]\thets[/tex][tex]\theta[/tex]
[tex]\theta = \frac{180^\circ}{2}[/tex]
[tex]\theta = 90^\circ[/tex]
A water container in the shape of a cone has a height of 5 inches and a diameter of 3.5 inches.
Enter an equation in the first blank box and a number in the second blank box to complete the statements about the
water container ___.
A. The formula to calculate the container's volume, V, with the given measurements is
B. The container can hold approximately ___ cubic inches of water. Round your answer to the nearest hundreth.
Answer
A. The formula to calculate the container's volume, V, with the given measurements is ⅓ π(1.25²)5.
B. The container can hold approximately 8.177 cubic inches of water. Round your answer to the nearest hundredth.
Step-by-Step Explanation
A. The formula to calculate any cone's volume is ⅓ πr²h. Replace the variables with the actual values of the cone. r stands for the cone base's radius, or half of the diameter. Because the diameter is 3.5, the radius is 1.25, or half of it. The h stands for the height of the cone. Now we can plug in the values. Our answer for this part is ⅓ π(1.25²)5.
B. Now to solve our equation. [tex]1.25^2[/tex] is equal to 1.5625. Now, multiply by the height. 1.5625 x 5 is equal to 7.8125. We now multiply by [tex]\pi[/tex]. We'll use 3.14 to shorten the answer a bit. Multiply 7.8125 by 3.14 and you'll get 24.53125. Last but not least, divide this by 3 (or multiply by [tex]\frac{1}{3}[/tex]). [tex]\frac{24.53125}{3}[/tex] = 8.1770833333... We now must round this to the nearest hundredth. This makes our final answer 8.177 [tex]in^3[/tex].
My little brother needs help and tbh I forgot all abt this
Answer:
15
Step-by-step explanation:
Rectangle Formula:
a = b * w
a = area
b = base
w = width
Replace variables with numbers given:
375 = 25 * w
Divide both sides by 25
w = 15
Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth
Answer:
Step-by-step explanation:
Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth
Exponential growth function
= y = a(1 + r)^t
Solving for y
y = 200(1 + 0.092)⁷
7/9+5/9 as a fraction in simplest form
1 3/9 is da answerrr
Complete the table for the given rule.
Rule: y = 52
~Answer~
Substitute your numbers:
y = 5x
For the first one, y equals 5, so substitute 5 for y.
So, 5 = 5x.
What multiplied by 5 gives 5? The answer is 1.
So, the first one is 1.
Do the same for all the others.
So, 4 = 5x.
4 = 5(4/5)
As a decimal that equals 0.8.
For the last one, I can't tell if that is saying 2 or .2 so I'll do both.
for 2, you will do 2 = 5x and for .2, you will do .2 or 0.2 = 5x.
For 2, it would be 2/5 or 0.4.
For .2 or 0.2, it would be 0.04.
So,
x y
1 5
4/5 or 0.8 4
0.4 if it is 2 and 0.04 if it is 0.2. 2
(looking back, I'm pretty sure it was just 2 and not .2)
I hope this is what u were looking for, if not I'm so sorry for a useless answer. I wasn't completely sure whether I was doing it right since I haven't done these types of math problems in some time.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Help!! I’ll give brainliest!!
Answer:
A. -1
Step-by-step explanation:
To find the slope, subtract the x-coordinates, subtract the y-coordinates, lastly, divide the differences.
(3,1) (4,0)
3 - 4 = -1
1 - 0 = 1
-1 ÷ 1 = -1
-1 is the slope.
A triangle has sides with lengths of 14 centimeters, 36 centimeters, and 39 centimeters. Is it a right triangle?
Answer:
no
Step-by-step explanation:
this is because it does not follow the pythogras theorem which states that a^2+b^2=c^2
IF TWO ANGLES ARE CORRESPONDING ANGLES AND <1=59, WHAT IS THE MEASURE OF <2?
Answer:
72 degrees. Don’t copy me!!!!
Step-by-step explanation:
Find the area. Please hurry!
Aubrey dinner cost 85$ she tips the waitstaff 30% for excellent service how much is Audrey's tip ?
Answer:
25.5 dollars
Step-by-step explanation:
Answer:
25.5
Step-by-step explanation:
you go 85 x 0.3 and get that as your answer
