A container can hold 2400 litres of water. (a) A large tap alone can fill the container in x hours. Write down an expression, in terms of r, for the amount of water that the large tap can dispense per minute. {b) A small tap alone will take 1 hour longer than the large tap to fill the co tainer. Write down an expression, in terms of x, for the amount of water that the small tap can dispense per minute. (c) When both taps are turned on at the same time, they can fill the container in 3 hours. Form an equation in x and shows that it reduces tox? -5x-3=0. X 20.
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Answer:
Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing (type an inte...
Related Questions
please help! Write the equation of line that has a y-intercept of -6 snd a slope of 3
Answers
Answer:
y=3x+6
Step-by-step explanation:
the equation of a line in
slope-intercept form
is.
xy=mx+b
Suppose that survey is planned to estimate the proportion of population that is left-handed The sample data will be used to form confidence interval: Which one of the following combinations of sample size and confidence leve will give the widest interval? n E 500, confidence level 909 n = 1,000, confidence level 909 n = 500, confidence level 959 n = 1,000, confidence level 959 Explain why this sample size and confidence level will give the widest interval: The Select-- sample size and Select- confidence level will both tend to increase the width of the confidence interval:
Answers
The 500 sample size and 95% confidence level will both tend to increase the width of the confidence interval.
In this question, we have been given the combinations of sample size and confidence level.
We need to select a combinations of sample size and confidence level that will give the widest interval.
We know that the confidence level is typically set in the range of 99% to 80%. The 95% confidence interval will be wider than the 90% interval and which will be wider than the 80% interval.
As we know increasing the confidence will increase the margin of error which results in a wider interval.
But increasing the sample size decreases the width of confidence intervals, as it decreases the standard error.
This means, for the widest interval we need to select a high confidence interval and small sample size.
Therefore, the sample size = 500 and the confidence interval = 95% will give the widest interval.
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Reece is setting up a large fish tank. The tank is 1.8metres long and 0.6 metres wide. The water in the tank is 50 cm deep. Reece needs to add a liquid treatment to the water. The instructions tell him to add 5 ml of treatment for every 0.18 m3. How many treatment does Reece need to add?
Answers
Answer:
15 ml
Step-by-step explanation:
Find the volume of the tank which is 1.8m*0.6m*0.5m=0.54m^3
For every 0.18m^3,5ml of treatment is added,what of 0.54m^3
(0.54m^3*5ml)/(0 18m^3)=15ml
There are 4 pink, 5 yellow, 2 violet and 3 gray marbles
in a hat. You pick 2 marbles from the hat. Marbles are
NOT returned to the hat.
P(pink, then violet)
P(gray, then gray)
P(not yellow, not yellow)
P(yellow, not yellow)
Answers
================================================
Work Shown for problem 1
P(pink, then violet) = P(pink)*P(violet given 1st was pink)
= (4/14)*(2/13)
= 8/182
= 4/91
------------------------------
Work Shown for problem 2
P(gray, then gray)
= P(gray)*P(gray given 1st was gray)
= (3/14)*(2/13)
= 6/182
= 3/91
-------------------------------
Work Shown for problem 3
P(not yellow, not yellow)
= P(not yellow)*P(not yellow given 1st was not yellow)
= (9/14)*(8/13)
= 72/182
= 36/91
-------------------------------
Work Shown for problem 4
P(yellow, not yellow)
= P(yellow)*P(not yellow given 1st was yellow)
= (5/14)*(9/13)
= 45/182
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x – 2
y = 2x + 2
y = x + 2
y = x – 2
Answers
Answer:
the correct answer is C
Step-by-step explanation:
edge 2020
lim
x→ pi/4
(sec x)/(4x^2 -5x)
Answers
The correct answer for the limit expression is √2 (π/4)(π - 5).
What is limit?
In mathematics, the value of the limit of a function always approaches as input and finally it approach to some value. It is used for the calculation of the continuity function, derivatives or calculus.
According to the question, the value of the variable 'x' should be substituted in the limit expression.
Now, the required expression will be:
\(\lim_{x \to \\pi /4} (secx)(4x^{2} -5x) = sec(\pi/4)(4(\pi /4)^{2} -5(\pi /4))\)
Now, the value of the sec(pi/4) is √2
⇒ √2((π²/4)-5(π/4)) = √2 (π/4)(π - 5)
Hence, the correct answer for the limit expression is √2 (π/4)(π - 5).
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A gumball machine has 2,120 gumballs. Mike
bought 20 gumballs, which were dispensed
randomly. The results are in the table below.
How many of each color gumball do you predict
are in the machine?
Blue
5
Red
1
Green
8
Pink
4
Yellow
2
Answers
Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.
How to calculate the amount of gum of each color that was in the machine?To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:
20 gums = 5 blue gums2,120 gum = ? blue gum2,120 * 5 / 20 = 530 blue gumballs20 gums = 1 red gums2,120 gum = ? red gum2,120 * 1 / 20 = 106 red gumballs20 gums = 8 green gums2,120 gum = ? green gum2,120 * 8 / 20 = 848 green gums20 gums = 4 pink gums2,120 gum = ? pink gum2,120 * 4 / 20 = 424 pink gumballs20 gums = 2 yellow gums2,120 gum = ? yellow gum2,120 * 2 / 20 = 212 yellow gumballsLearn more about gumballs in: https://brainly.com/question/428165
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Hey! Please explain your answer!
Answers
Answer:
The inside of the pentagon and the angle outside the pentagon can add up the the angle of 180 degrees.
Step-by-step explanation:
Answer:
72°Step-by-step explanation:
Exterior angles of any polygon sum to 360°
We have:
5b = 360°b = 360°/5b = 72°MATH 1. power of 10 Complete the table to show different ways to write 700, 9,000 and 80,000 :STANDARD FORM :Using A Power of 10: Using Factors of 10: Exponet Form
Answers
Answer:
Number Standard Power of 10 Factors of 10 Exponential
700 7 x 10² 7 x 10² 7 x 100 7 x 10²
9,000 9 x 10³ 9 x 10³ 9 x 1000 3² x 10³
80,000 8 x 10⁴ 8 x 10⁴ 8 x 10000 2³ x 10⁴
Explanation:
To write the numbers in a standard form, we need to identify the first digit, and then count the number of digits after that number.
For example, 700 can be written as 7 x 10²
Because the first digit is 7 and there are 2 zeros after the 7.
So, 9,000 is 9 x 10³
80,000 is 8 x 10⁴
Then, if we write the number using a power of 10, we will have the same results as the standard form, because the number has only one digit that is different from zero.
On the other hand, if we will use factors of 10 to express the number, we will use numbers like 10, 100, 1000, and so we get:
700 = 7 x 100
9,000 = 9 x 1,000
80,000 = 8 x 10,000
Finally, for the exponent form, we can write the numbers in the same way as the standard form but we will factorize the number 9 and 8 as follows:
9 = 3² because 3 x 3 = 9
8 = 2³ because 2 x 2 x 2 = 8
Therefore, the exponent form is:
700 = 7 x 10²
9,000 = 3² x 10³
80,000 = 2³ x 10⁴
So, the complete table is:
Number Standard Power of 10 Factors of 10 Exponential
700 7 x 10² 7 x 10² 7 x 100 7 x 10²
9,000 9 x 10³ 9 x 10³ 9 x 1000 3² x 10³
80,000 8 x 10⁴ 8 x 10⁴ 8 x 10000 2³ x 10⁴
Find the area of each figure in square units pls pls pls help ☝️
Answers
Answer:
24u^2
Step-by-step explanation:
Divide the figure into two quad-l's.
5x4
2x2
------
20
4
-----
24
-----
The answer is 24 units squared.
Hope this helped!
3.
A train can travel 360 miles in 4 hours. How much time will it take
travelling 585 miles?
Answers
Answer:
6.5 hours
Step-by-step explanation:
We can write a ratio to solve
360 miles 585 miles
---------------- = ------------
4 hours x hours
Using cross products
360 * x = 4* 585
360 x = 2340
Divide each side by 360
x = 2340/360
x =6.5
The table lists selected values of Sam's walking speed, in kilometers per hour (km/h), and his corresponding
pulse, in beats per minute (bpm). There is a linear relationship between Sam's speed, x, and his pulse, f(x).
Which of the following equations describes f(x)?
Answers
9514 1404 393
Answer:
(C) f(x) = 5x +57
Step-by-step explanation:
Heart rate increases as speed increases, so only equations with a positive x-coefficient are of interest. It is pretty easy to see that ...
f(x) = x+57
doesn't give ...
f(4) = 77
However, the other reasonable choice is ...
f(x) = 5x +57
which does give f(4) = 77.
A meat packaging plant uses a machine that packages chicken livers in six pound portions. A sample of 91 packages of chicken livers has a standard deviation of 0.47. Construct the 98% confidence interval to estimate the standard deviation of the weights of the packages prepared by the machine. Round your answers to two decimal places.
Lower endpoint______ Upper endpoint__
Answers
Answer:
it simple as look
Step-by-step explanation:
He y I a m r a v I t ha n k S
Wowowowowowowowowk
in a science experiment the intial temperature was 55 degrees faherheit
Answers
Answer:
Answer to your question ; f(t) = 55 = 4t
Circle the reason for each of the following manipulations used to simplify the product (8x^2) (3x^7) ?
Answers
Answer:
fgd
Step-by-step explanation:
If the standard deviation of returns on the market is 20 percent, and the beta of a well-diversified portfolio is 1.5. Calculate the standard deviation of this portfolio.
a. 30 percent.
b. 20 percent.
c. 15 percent.
d. 10 percent.
Answers
Answer:
a. 30 percent.
Step-by-step explanation:
Given that:
The standard deviation of returns = 20 percent
Beta = 1.5
Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation
Since Correlation with the market will be +1;
Then;
The Standard deviation of portfolio = 1.5 × 20%
The Standard deviation of portfolio = 30.00%
Planes T and X are parallel. Plane T contains line a. Plane X contains line b.
Planes T and X are parallel. Plane T contains line a and plane X contains line b.
Which best explains the relationship between lines a and b?
Answers
If the center of the circle is Point A, what is the difference between the circumference of the circle and the perimeter of the triangle, to the nearest tenth of a unit?
A 20.6 units
B 28.2 units
C 80.7 units
D 95.5 units
Answers
The difference between the circumference of the circle and the perimeter of the triangle is 28.2 units. (Option B)
To find the length of each side of triangle, the distance is calculated between the vertices using the formula:
d = √((x2 – x1)^2 + (y2 – y1)^2)
Hence,
AB =√((-4 – 0)^2 + (9 – 0)^2) = 9.85 units
AC = √((9 – 0)^2 + (4 – 0)^2) = 9.85 units
BC = √((9 – (-4))^2 + (4 –9)^2) = 13.93 units
Hence, the perimeter of the triangle = 9.85 + 9.85 + 13.93 = 33.6 units
As AB and AC is the radius of the circle, the circumference of the circle is:
C = 2πr = 2π(9.85) = 61.8 units.
Hence, the difference between the circumference of the circle and the perimeter of the triangle = 61.8 – 33.6 = 28.2 units.
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Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answers
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
AT YOUR NEW JOB AT THE COFFEE SHOP, YOU SOLD 42 LARGE COFFEES AND 54 SMALL COFFEES WHAT WAS THE RATIO OF LARGE TO SMALL COFFEES YOU SOLD? UNDER A MICROSCOPE. YOU COUNTED 48 AMOEBAS AND 56 PARAMECIUMS WHAT WAS THE AMOEBA TO PARAMECIUM RATIO?
Answers
Answer:
go Amoeba and Paramecium.
Step-by-step explanation:
50 PONTS
Complete the following statements:
< A corresponds to <
< B corresponds to <
< C corresponds to <
Side CA corresponds to side?
Side BC corresponds to side?
Side AB corresponds to side?
Answers
Answer:
Step-by-step explanation:
1. j
2. k
3. L
4. Lj
5. kL
6. jk
Solve for X in the diagram below.
Answers
Answer:
X = 56
Step-by-step explanation:
i inserted a picture of the question, please please please make it short and long
Answers
The square root of 64 can be expressed as,
\(\sqrt[]{64}=64^{\frac{1}{2}}\)Determine the value of expression.
\(\begin{gathered} 64^{\frac{1}{2}}=\pm8 \\ =8,-8 \end{gathered}\)So, option A, option B and option D are correct.
What is the value of 3-(-2)?
Answers
Answer:
5
Step-by-step explanation:
2 negatives will make a positive so 3-(-2) is equal to 3+2 and the answer is 5.
hope it helps
devide 255 in the ratio 3:7:7:10
Answers
Answer:5
Step-by-step explanation:
5098
Jillian sells handmade t- Shirts and large purses; each tea shirt costs $15. Each Large purse goes for $59 and the cost of small purses is $32 each. In the first week she sold 4 t-shirts and 3 large purses and 9 small. In the second week she sold another 5 t-shirts, 7 large bags and 4 small ones. Last week she sold 8 t-Shirts and also sold 3 large purses and 5 small purses. What was the exact amount she made in 3 weeks?
Answers
Answer:
$1598
Step-by-step explanation:
1st week
4*15=60
32*9=288
59*3=177
60+177+288=525
2nd week
5*15=75
59*7=413
32*4=128
75+413+128=616
3rd week
8*15=120
3*59=177
5*32=160
120+177+160=457
525+616+457=$1598
Out of 18 times a bat, Jen got ahead 5/6 of the time Cassa got a hit 8/9 of the time. Who got more hits? how many more?
Answers
Cassa got more hits 16 than Jen who got 15 hits.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that out of 18 times a bat, Jen got ahead 5/6 of the time Cassa got a hit 8/9 of the time.
Cassa's hits = 18 x ( 8 / 9 ) = 16
Jen's hit = 18 x ( 5 / 6 ) = 15
Therefore, Cassa got more hits 16 than Jen who got 15 hits.
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Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Michael is watching a movie that is 2 1/3 hours long. If he has already watched 1 2/9 hours of the movie, how much of the movie is left?
__ __/__
Answers
Calculate the distance between the points A=(-5, 6) and J = (1, -1) in the coordinate plane.Round your answer to the nearest hundredth.
Answers
we get that the distance is :
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