Step-by-step explanation:
Longest side of cuboid: 7cm
Height of cylinder:
2 × 7 = 14 cm
Volume of cuboid:
7x3x4=84[tex]cm^3[/tex]
Volume of cylinder:
[tex]84=14\pi r^2 \\r=\sqrt{\frac{6}{\pi} } \ \ \ cm\\r=1.38 \ cm\\[/tex]
Surface area of the cylinder:
[tex]\pi r^2 + 2 \pi r h[/tex]
[tex]6+2\pi (\sqrt{\frac{6}{\pi} } ) (14)[/tex]
=128 cm^2
25h + 25 = c 15h + 40 = c
Answer:
c= 125/2
h= 3 /2
Step-by-step explanation:
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis against using a random sample of specimens. Calculate the P-value if the observed statistic is . Suppose that the distribution of the sample mean is approximately normal.
Complete question :
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0 : μ = 12 against H1 : μ < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is xbar = 11.5. Suppose that the distribution of the sample mean is approximately normal.
Answer:
0.02275
Step-by-step explanation:
Given :
Population mean μ = 12
Standard deviation, σ = 0.5
Sample size, n = 4
Observed statistic, xbar = 11.5
H0 : μ = 12
H1 : μ < 12
The test statistic = (xbar - μ) ÷ σ/sqrt(n)
Test statistic =. (11.5 - 12) ÷ 0.5/sqrt(4)
Test statistic = - 0.5 ÷ 0.5/2
Teat statistic = - 0.5 / 0.25 = - 2
Since, it is stated that, distribution is approximately normal ; then we can use the Z distribution and obtain our Pvalue.
We could obtain P value using the Pvalue Z distribution calculator at α = 0.05, 1 - tail
Pvalue = 0.02275
Or
P(x < - 2) = 0.02275 (Z distribution table)
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
(a) Work out the total cost, in pounds, of the flights, the apartment and the car hire.
(b) If there had been more than 1.12 euros to £1, how would this affect your answer
to part (a)?
(2 part question; enter answers for (a) and (b) in the answer box below) *
(5 Points)
what is 5/6 of 3/4 ?
Answer:
Exact Form: 5/8
Decimal form: 0.625
Hope this helps
What will a $160,000 house cost 8 years from now if the price appreciation for homes over that period averages 7% compounded annually?
Answer:
FV= $274,909.8
Step-by-step explanation:
Giving the following information:
Present value (PV)= $160,000
Interest rate (i)= 7%
Number of periods (n)= 8 years
To calculate the future value (FV) of the home, we need to use the following formula:
FV= PV*(1+i)^n
FV= 160,000*1.07^8)
FV= $274,909.8
2 hours of tv had 40 commercials __ __commercials per hour (Ratio/Rate)
Factor the following: 28 W + 12J
7 (9W + 3J)
4 (7W + 3)
2 (12W + 5)
I need these too NOW LOL
Step-by-step explanation:
https://youtu.be/e7WGZHTZm0I
Answer:
Answervis 4(7W+3)
Step-by-step explanation:
I hope it's helpful!
Water is flowing from Tank #1 to Tank #2 as shown in the picture. Originally, Tank #1 had 1,540 gallons in it and Tank 2 had 236 gallons in it. Water is draining out of Tank #1 at a ate of 6 gallons per minute and, thus, filling Tank #2 up at a ate of 6 gallons per minute. ) Write an equation for each tank that models the volume of water, v in gallons, as a function of the number of minutes, m, that the water has been flowing. Tank #1: Tank #2: Find out how long it takes, to the nearest minute, for the two tanks to have Will it take longer or shorter than 2 hours? Justify.
Answer:
Melody, think about this as below
Step-by-step explanation:
when does tank 1 = tank 2 when there is 6 gpm
tank 1 = 1540
tank2 = 236
1540-6x = 236 +6 x
1304 = 12x
108 [tex]\frac{2}{3}[/tex] = x
6*108 [tex]\frac{2}{3}[/tex] = 652 gallons
236+652=888
1504-652=888
in 108 [tex]\frac{2}{3}[/tex] minutes the tanks become equal with 888 gallons each :)
help solve for x. round to the nearest tenth
Answer:
60.1
Step-by-step explanation:
Use cosine for this one- you get cos37 = adjacent/hypotenuse, or cos37 = 48/x
Solve for x and x = 48/cos37, or 60.1
Hopefully this helps! Let me know if you have any questions
Answer:
Pretty sure it's 60.1
Which data point is an outlier in this graph?
(A) (5,-3)
B) (3,5)
© (-5,3)
D (3,-5)
Answer:
idel
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
5, -3 is not near the other dots making it an outlier
what is the answer of 2+y=11
Answer:
9
Step-by-step explanation:
11 - 2 = 9
Answer: 9
Step-by-step explanation:
Minus 2 from both sides to make it equal.
2 + y = 11-2 -2y = 9Write the following in descending order.
I. 0.1 II. 0.009 III. 0.09 IV. 1
A. I, III, II, IV
B. III, I, IV, II
C. II,IV, I, III
D. IV, I , III, II
Answer:
IV, I, III and II
Step-by-step explanation:
Given
I. 0.1 II. 0.009 III. 0.09 IV. 1
Required
Write in descending order
In descending order means, from greatest to least.
From the given list of numbers,
The greatest is 1 (IV)
Followed by 0.1 (I)
Followed by 0.09 (III)
Then, the least is 0.009 (II)
So, the order is: IV, I, III and II
Find three solutions to the equation 2x+3y=12
Answer:
if x = 3, then y = 2
if x = 0, then y = 4
if x = 6, then y = 0
Write down the gradient of the line with equation y = 2x + 3
Answer:
Slope : 2
Step-by-step explanation:
y = mx + c
2x - y = -3
x/ -3/2 + y/3 = 1
Which expression has the same value as 12^2
divide the monomial by the given monomial. (by give process)
24x^3 ÷ 14x^2
Step-by-step explanation:
24x³ ÷ 14x²
= 2 × 2 × 2 × 3 × x × x × x / 7 × 2 × x × x
= (2 × x × x) ( 2 × 2 × 3 × x) / (2 × x × x) x 7
= 12x / 7
can u pls and this question
Answer:
C,32
Step-by-step explanation:
first do the brackets
(-4)*-8
negative cancelled by negative
then we get 32
due in 3 min sum1 help
Answer: B
For a number to be in correct scientific notation, the first number or the decimal number has to be less than 10. In this case, 75.3 is not less than 10, hence it is the incorrect answer.
Answer: B
Step-by-step explanation:
Scientific notation usually writes as c x 10^n, where c is between 1 and 10. The coefficient of B 75.3 is greater than 10, and also is not in the range of 1 and 10, so b is used scientific notation incorrectly.
Nancy made ice cream cones out of thin cookie dough. The cone has a radius of 2 inches and a height of 4 inches.
what is the volume of the cone in cubic inches
Answer:
16.755160819146 in3
Step-by-step explanation:
I did not know how much I have to round up to.. sorry about that
Answer: 50 inches
Step-by-step explanation: Using the formula for volume of a cylinder, you would substitute the height and radius in the formula and solve for volume. After multiplying with pie you get 50.2654 and when rounding to inches you’d get 50 cubic inches.
srry if this is incorrect
You pay $228.50 in taxes at a rate of 10.25% to buy a new TV. How much did the tv cost original? Round your number to the hundredths(to the penny)?
Answer:
$2229.27
Step-by-step explanation:
tax rate: 10.25%
tax amount: $228.50
price before tax: x
10.25% of x = $228.50
0.1025x = 228.5
x = 228.5/0.1025
x = 2229.27
Answer: $2229.27
Which expression is equivalent to x+2x+y+2y
3x3y
3x+3y
3+xy
6xy
10 points || answer ASAP if you can
Answer:
It would affect the mean, range, and standard deviation
Step-by-step explanation:
I got this right on the test :)
The chief guest was scheduled to arrive at 10: 30 am. He came late by 1 hr 20
mins. At what time did he arrive?
Step-by-step explanation:
the chef came at 11:50 pm/am hope this helps
10:30 + 1 h 20 mins — 11:50
He arrived at 11:50.
2. Ethan can blow 15 balloons in 20 minutes, Jun Wei
can blow 18 balloons in 25 minutes and Vishal
can blow 16 balloons in 21 minutes. Assuming that
all balloons are blown to the same size, who can
blow balloons at the fastest rate? I just can't understand how to simply the vishal one others I have done
Answer:
Vishal can blow ballons at the fastest rate.
Step-by-step explanation:
Assuming that all balloons are blown to the same size, who can blow balloons at the fastest rate?
To find who can blow ballons at the fastest rate, we divide the number of ballons blown by the number of minutes, and whoever has the highest ratio of ballons blown per minute can blow balloons at the fastest rate.
Ethan can blow 15 balloons in 20 minutes
15/20 = 0.75 ballons per minute
Jun Wei can blow 18 balloons in 25 minutes
18/25 = 0.72 ballons per minute
Vishal can blow 16 balloons in 21 minutes.
16/21 = 0.76 ballons per minute
Since he has the highest rate, Vishal can blow ballons at the fastest rate.
The table shows the linear relationship between the
number of ride tickets purchased and the total cost
for admission plus ride tickets at a carnival.
Which function can be used to find y, the total cost of
attending the carnival and purchasing x ride tickets?
Carnival Costs
A y = 25x + 8
Number of Ride
Tickets Purchased, x
Total Cost for
Admission plus Ride
Tickets, y
By = 8x + 25
o
$8
y = 8x +0.25
8
$10
16
$12
Dy = 0.25x + 8
24
$14
18-34
3
3
Answer:
C
Step-by-step explanation:
Y=8x + 0.25
♡ The Question/Task ♡
-Which function can be used to find y, the total cost of attending the carnival and purchasing x ride tickets?
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
-I believe the answer should be, y = 0.25x + 8!
I apologize in advance if this is incorrect! ♡
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-No Explanation/Step-By-Step Provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No Tips Provided!
Dicken's Hardware sells incandescent and CFL light bulbs. Yesterday they sold 18 incandescent bulbs and 24 CFL bulbs for total sales of $132.
Part A: Let x represent the cost of an incandescent bulb and let y represent the cost of a CFL bulb. Write an equation or inequality to represent the situation. Explain how you decided to use an equation or inequality.
Part B: A CFL bulb cost $4. Use this information and your equation or inequality from part a to find the cost of an incandescent bulb. Show your work and explain what your answer means in the context of the problem.
Which of the following is the square of a binomial
A. 36x^2 - 4y^2
B. d^2 + e^2
C. m^2 - mn + n^2
D. p^2 - 2pr + r^2
Answer:
Step-by-step explanation:
(a+b)² = a² + 2ab + b²
The only choice that has the form a² + 2ab + b² is D.
The square of a binomial is (p – r)². Then the correct option is D.
What is square binomial?The square binomial is a polynomial of two-term only and with power of 2. For example, (x + 5)² where x and 5 are the two separate terms.
Let's check the option D, we have
⇒ p² – 2pr + r²
We know that the formula a² – 2ab + b² = (a – b)², then we have
⇒ p² – 2pr + r²
⇒ (p – r)²
Then the correct option is D.
More about the square binomial link is given below.
https://brainly.com/question/12249986
#SPJ2
if 2 angles of a triangle have measures of 58 and 101 degrees what is the measure of the 3rd
Answer:
21 degrees
Step-by-step explanation:
the sum of the three angles in a triangle equal 180. take the known angles (58 and 101) and subtract them from 180. 180-129=21
Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus (New York Daily News). The 2017 market shares are Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford Focus 8%, with other small car models comprising the remaining 23%. A sample of 400 compact car sales in Chicago showed the following number of vehicles sold.
Honda Civic 98
Toyota Corolla 72
Nissan Sentra 54
Hyundai Elantra 44
Chevrolet Cruze 42
Ford Focus 25
Others 65
Use a goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales. Using a 0.05 level of significance, what is the p-value?
The p-value is ___________.
What is your conclusion?
Conclude that the markets shares for the five compact cars in Chicago ______________the market shares reported.
What market share differences, if any, exist in Chicago? Round your answers to three decimal places. Enter negative values as negative numbers.
Sample
Compact Car Market Share Hypothesized Market Share Difference
Honda Civic - 0.20 =
Toyota Corolla - 0.17 =
Nissan Sentra - 0.12 =
Hyundai Elantra - 0.10 =
Chevrolet Cruze - 0.10 =
Ford Focus - 0.08 =
Others - 0.23 =
Answer:
Pvalue = 0.020335
X² = 14.99
CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES
Step-by-step explanation:
H0 : there is no difference in market shares
H1: there is difference in market shares
Chisquare (X²) = (observed - Expected)²/ expected
Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05
Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235
Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75
Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4
Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1
Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531
Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924
X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99
The obtain the Pvalue ;
We use the Pvalue from Chisquare calculator :
Pvalue(14.99, 0.05, df= 6) = 0.020335
Decision region :
Reject H0 ; if Pvalue < α
THERE IS DIFFERENCE IN MARKET SHARES
Market share differences:
* 98/400 = 0.245,
0.245-0.20 = 0.045
* 72/400 = 0.18,
0.18 - 0.17 = 0.01
* 54/400 = 0.135,
0.135 - 0.12 = 0.015
* 44/400 = 0.11,
0.11 - 0.10 = 0.01
* 42/400 = 0.105
0.105 - 0.10 = 0.005
* 25/400 = 0.0625
0.0625-0.08 = -0.0175
* 65/400 = 0.1625
0.1625 - 0.23 = -0.0675
A line passes through the point (-4,9) and has a slope of
4.
Write an equation in point-slope form for this line.
Answer:
y = 4x - 7
Step-by-step explanation:
Given the following data;
Points (x, y) = (4, 9)
Slope, m = 4
To write the equation in point-slope form;
The equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
First of all, we would find the intercept c;
9 = 4*4 + c
9 = 16 + c
c = 9 - 16
c = -7
Next, we write the equation in point-slope form;
m = 4 and c = -7
y = 4x - 7