Answer:
AD = 13
Step-by-step explanation:
Area of trapezoid ABCD
[tex] = \frac{1}{2} (AB + AD) \times AB \\ \\ 525= \frac{1}{2} (37+ AD) \times21\\ \\ 525 \times 2= (37+ AD) \times21 \\ \\ 1050 = 21 \times 37 + 21AD \\ \\ 1050 = 777+ 21AD \\ \\ 21AD = 1050 - 777 \\ \\ 21AD = 273 \\ \\ AD = \frac{273}{21} \\ \\ AD = 13[/tex]
A chemist made six independent measurements of the sublimation point of carbon dioxide (the temperature at which it changes to dry ice). She obtained a sample mean of 196.64 K with a standard deviation of 0.66 K.
1. Use the Student’s t distribution to find a 95% confidence interval for the sublimation point of carbon dioxide.
2. Use the Student's t distribution to find a 98% confidence interval for the sublimation point of carbon dioxide.
3. If the six measurements had been 196.35, 196.32, 196.4 198.02, 196.36, 196.39, would the confidence intervals above be valid? Explain.
Answer:
(195.733, 197.547)
Step-by-step explanation:
Given that:
Mean, m = 196.64 K
Standard deviation, s = 0.66 K
Sample size, n = 6
Confidence interval :
Mean ± margin of error
Margin of error =Tcritical * s/sqrt(n)
Tcritical at α = 98% ; df = 6 - 1 = 5
Tcritical = 3.3648
Margin of Error = 3.3648 * 0.66/sqrt(6) = 0.9066
Confidence interval = 196.64 ± 0.9066
Lower boundary = 196.64 - 0.9066 = 195.733
Upper boundary = 196.64 + 0.9066 = 197.547
(195.733, 197.547)
Given the measurement :
X = 196.35, 196.32, 196.4 198.02, 196.36, 196.39
Mean = ΣX / n = 1179.84 / 6 = 196.64
Yes, confidence interval will be valid as theean obtained is within the calculated interval
if a state issued license plates using the scheme of one letter followed by five digits, how many plates could it use
Answer:
786240 different license plates.
Step-by-step explanation:
The required number of plates that can be used is 2,599,974.
Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974
Thus, the required number of plates that can be used is 2,599,974.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Misha needs 1.75 yards of green fabric per costume. He will make 13 costumes.
Misha needs____
yards of green fabric in all.
For the blank spaces above the options are 7.4, 14.75, 21, 22.75.
(Btw it’s not 7.4 I already tried that and it was wrong)
Answer:
22.75 is the correct answer
Answer:
wrong question sorry!
Step-by-step explanation:
5.
The Luxor Hotel in Las Vegas, Nevada,
is shaped like a square pyramid whose
surface is covered in dark glass. The
sides of the building are 606 feet in
length. The slant height of the building
is 463 feet. Find the lateral surface area
to determine the square feet of glass
needed to cover the surface of the Luxor
Hotel.
Answer:
= 869,516 sq feet
i think will you mark me brainlest
=))
Step-by-step explanation:
Melanie moved to Toledo on September 14 and returned home for a visit fifteen months later. When did she return home?
A. November 13th
B. December 13th
C. November 14th
D. December 14th
Answer:
D. December 14th.
Answer:
Dec 14 next year
Step-by-step explanation:
just add 15 months lol
6 movie tickets cost $72. At this rate, how much would 2 movie tickets cost? Use any method or strategy to show how you solved the problem below in the space provided. SHOW YOUR WOrk
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 24$
Explanation:
72 / 6 = 12$
12$ for 1 ticket
12 x 2= 24$ for 2 tickets
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
the difference of 17 and 5 times a number (s)
Answer:
(17-5)x
Step-by-step explanation:
the x next to the parenthesis means multiplication
Answer:
17 - 5s
Step-by-step explanation:
difference = minus sign
5 times = 5s
Select the statement that describes this expression: 5 x (3 + 4) − 4.
5 times the sum of 3 and 4, then subtract 4
5 times 3 plus 4 minus 4
5 more than the sum of 3 and 4, and then subtract 4
5 times 3 plus the difference of 3 and 4
will give branlist
Answer:
5 times the sum of 3 and 4, then subtract 4
Step-by-step explanation:
simplify your math.
5(7)-4
35-4
31
i need a reduced mixed number from 12(x-6)=2(x-9)
Step-by-step explanation:
12×x-12×6=2×x-2×9
12x-72=2x-18
12x-2x= -18+72
10x = 54
x =54/10
x = (5)\4/10
Use the information in the table to choose the correct equation.
Answer:
y = 10x + 3
Step-by-step explanation:
Will give brainly Simplify 5/10
Evaluate 3(c+d) if c=8 and d=-5
A. 6
B. 9
C. 39
D. -9
Answer:
C
Step-by-step explanation:
3(8+5)=39
3(13)=39
or
3(8)+3(5)=39
Answer:
b. 9
Step-by-step explanation:
if c = 8 and d = - 5
3( c + d)
= 3( 8 + (-5))
= 3 * 3
= 9
What is 2 7/12 written as a decimal?
OA) 0.2583
OB) 2.583
C) 2.583
OD) 5.83
Answer:
its 2.583333333 and repeating so it would be 2.583
Two similar squares are in a ratio of 3:5. If a side of the larger square is 35 inches, what is the measure of a side of the smaller square?
What are the two solutions to 2x2−x−4=0 ? Use the quadratic equation
Item 8
Select the cone(s) that are similar to a cone with a height of 9 meters and a radius of 3 meters.
cone with a height of 15 meters and a radius of 6 meters
cone with a height of 12 meters and a radius of 4 meters
cone with a height of 6 meters and a radius of 3 meters
cone with a height of 3 meters and a radius of 1 meter
A fair charges $8 to enter and $0.50 per ticket. Write an algebraic expression to represent
the total amount spent.
help please i beg you
Answer:
4800
Step-by-step explanation:
Answer:
108
Step-by-step explanation:
if u need step by step explanation please comment
Kevin buys a dining table and. 8 identical chairs for. $294. The table costs $198. How much does each chair cost? Show as bar models
Answer:
12 dollars per chair
Step-by-step explanation:
294 - 198 = 96
96 divided by 8 = 12
A house that you are interested in has the following facts listed online: Price = $214,000 APR = 1.15% Down Payment must be 9.5% Loan time frame is 35 years What is the amount of the loan you must take out? What monthly price do you have to pay on this house? What is the total price of this house (including interest and the down payment)?
9514 1404 393
Answer:
$20,330 down$193,670 loan$560.35 monthly$255,677 total priceStep-by-step explanation:
a) The down payment is 9.5% of the price, so is ...
down = 0.095×$214,000 = $20,330
__
b) The amount of the loan is the remaining value after the down payment is made:
$214,000 -20,330 = $193,670
__
c) The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
payment on Principal P at interest rate r for t years
A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35
__
d) The total cost of the house is ...
down + (monthly payment)×(number of months)
= $20,330 + $560.35×420
= $255,677
a map that created using a scale of 1 inch equals 3 miles shows a lake with an area of 18 square inches was a actual area of the lake
Answer:
Step-by-step explanation:
18in^2(3mi/in)^2
18in^2(9mi^2/in^2)
162 mi^2
What is the inverse operation needed to isolate the variable 4 = p - 8
Answer:
To do this you need to add both sides by 8. yw
Step-by-step explanation:
Please help for 10 ponits
Answer:
it's a yes
Step-by-step explanation:
X/6 ≤ 30
to find the value of X we have to move the numerical to the other side
in this case the number is 1/6
X * 1/6 ≤ 30
so to balance the both side and get rid of the number on the left side we multiple with 6.
1/6*6 = 1 on the left side
30*6 = 180 on the right side
so the full equation will be
X * 1/6 * 6 ≤ 30 * 6
X * 1 ≤ 180
X ≤ 180
A company receives shipments from two factories. Depending on the size of the order, a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. The company has two different suppliers. Factory Q is 60 miles from the company. Factory R is 180 miles from the company. An experiment consists of monitoring a shipment and observing B, the number of boxes, and M, the number of miles the shipment travels. The following probabity model describes the experiment:
Factory Q Factory R
small order 0.3 0.2
medium order 0.1 0.2
large order 0.1 0.1
a. Find PB M(b, m), the joint PMF of the number of boxes and the distance.
b. What is E[B], the expected number of boxes?
c. Are B and M independent?
Answer:
A) PB M(b, m), we have;
b = 1
b = 2
b = 3
B) E(B) = 1.7
C) No they are not independent
Step-by-step explanation:
A) We are told that a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. Thus;
For PB M(b, m), we have;
b = 1
b = 2
b = 3
B) Factory Q is 60 miles from the company. Thus, under factory Q in the table, m = 60
Factory R is 180 miles from the company. Thus under factory R in the table, m = 180
Now;
P_B (b) for b = 1 which is small order is;
P_B (b) = 0.3 + 0.2 = 0.5
P_B (b) for b = 2 which is medium order is;
P_B (b) = 0.1 + 0.2 = 0.3
P_B (b) for b = 3 which is large order is;
P_B (b) = 0.1 + 0.1 = 0.2
Thus;
E(B) = Σb•P_B (b) = (1 × 0.5) + (2 × 0.3) + (3 × 0.2)
E(B) = 0.5 + 0.6 + 0.6
E(B) = 1.7
C) No, they are not independent. This is because from the table we are given, P_B,M at b = 1 and m = 60 is given as 0.3.
Whereas, for B and M to be independent, P_B,M at b = 1 and m = 60 has to be equal to (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1.
Instead what we have is P_M(m) under m = 0.3 as; 0.3 + 0.1 + 0.1 = 0.5. Which means (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1 gives;
0.5 × 0.5 = 0.25 which is not equal to P_B,M = 0.3 at b = 1 and m = 60
A number cube is rollled 144 times. How many times would you expect it to land on 5?
Answer:
28.8 times if you divide 144 by 5
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
I think it is 24 because if you divide 144 by the number of sides the dice has (6) it would be 24
Lupita y Andrés quieren comprar un bicicleta que ven todos los días en el aparador de la tienda la cual cuesta $3 686 ( IVA incluido 16%) y tiene el 20% de descuento ¿Cuanto pagara por la bicicleta?
Find the next number in the pattern.
4, 6, 11, 19, 30, ______
Answer: 44
Step-by-step explanation:
Point A is at (3,5). After being translated 10 units down, what are the coordinates of Point A?
Answer: The required co-ordinates of the new point are (6, 5).
Step-by-step explanation: Given that the point (-3, 15) undergoes a translation of 9 units right and 10 units down.
We are to find the coordinates of the new point.
We know that
if the point (x, y) undergoes a translation of 9 units right and 10 units down, then its translation rule is given by
(x, y) ⇒ (x+9, y-10).
Therefore, the co-ordinates of he new point are given by
(-3, 15) ⇒ (-3+9, 15-10) = (6, 5).
Thus, the required coordinates of the new point are (6, 5).
Choose the symbol that makes a true statement: -15____ -16
=
>
≤
OMG?!?!?!!?! HELP!!!?!?!?! PLEASE !?!?!? Thanks to those who do :D <3
A pump can fill 1800KL tank in one hour. How long would it take to fill a 90 KL tank?