Answer:
7/6 cups of water is the mug's capacity
Step-by-step explanation:
Capacity refers to how much a container can contain.
Let x be the capacity of the mug.
According to the question, the mug is 3/7 full. This means that the mug contains 3/7 × x = 3x/7 of water.
It was further stated that the mug contains 1/2cup of water. This means that:
1/2 cup of water = 3x/7 of water in the mug
Hence;
1/2 = 3x/7
3x × 2 = 7 × 1
6x = 7
x = 7/6
Therefore, the capacity of that mug is 7/6 cups of water.
The capacity of the the mug if it is 3/7 full and contains 1/2 cup of water is 7/6 cup
CapacityGiven:
Quantity of the mug = 1/2 cuplet
x = full capacity of the mugWater in the mug = 3/7 of x
= 3/7x
Note:
Water in the mug = 1/2 cup
So,
3/7x = 1/2
divide both sides by 3/7x = 1/2 ÷ 3/7
= 1/2 × 7/3
= 7/6
Therefore, the full capacity of the mug is 7/6 cup
Learn more about fraction:
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What is the area of a rectangle with sides measuring 2x+3 and 3x-1 feet
4x-8 = 12
4x - 8 + 8 = 12 + 8
4x= 20
4/4x=20/4 x=
Answer:
x=5
i just got it right on my quiz
Answer:
x5
Step-by-step explanation:
The depth of the Mariana Trench is 10,911m. Convert the depth to kilometers.
Answer:
Step-by-step explanation:
Now I didnt solve the question but if you do a google search on how many metres in a kilometre, then divide km by metres
Answer: 10.911
Step-by-step explanation:
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.1833.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\\\\=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=0.183333\\\\\approx 0.1833[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.1833.
The equation Ax + By = 14 goes through the coordinates (-7, -4) and (14, 2).
What are the values of A and B?
Answer:
A=-6
B=7
Step-by-step explanation:
We want to solve for the values of A and B.
let us substitute the values of the coordinates, that is x and y into the expression and obtain the two equations.
then we solve simultaneously
-7A-4B=14---------1
14A+2B=14--------2
-14A+-8B=28---------3
14A+2B=14------------2
0-6B=42
6B=42
B=42/6
B=7
put B=7 in eqn 1 we have
-7A-4(7)=14---------1
-7A-28=14
-7A=14+28
-7A=42
A=42/-7
A=-6
The values of A and B are 3 and -7 respectively
In order to determine the values of A and B,
First, we will determine the equation of the line passing through the coordinates (-7, -4) and (14, 2).
Using the formula for determining the equation of a line with two given points,
[tex]\frac{y-y_{1} }{x -x_{1} } =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
From the question
x₁ = -7
y₁ = -4
x₂ = 14
y₂ = 2
Putting these values into the equation,
We get
[tex]\frac{y--4}{x--7} =\frac{2--4}{14--7}[/tex]
∴ [tex]\frac{y+4}{x+7} =\frac{2+4}{14+7}[/tex]
[tex]\frac{y+4}{x+7} =\frac{6}{21}[/tex]
This becomes,
[tex]6(x+7) = 21(y+4)[/tex]
Clearing the brackets
[tex]6x + 42 = 21y + 84[/tex]
Then,
[tex]6x -21y = 84 -42[/tex]
[tex]6x -21y = 42[/tex]
Dividing through by 3
We get
[tex]3x - 7y = 14[/tex]
∴ The equation of the line that goes through the coordinates (-7, -4) and (14, 2) is [tex]3x - 7y = 14[/tex]
Now, we will compare the above equation to the equation given.
The given equation is Ax + By = 14
By comparing
A = 3 and B = -7
Hence, the values of A and B are 3 and -7 respectively
Learn more here: https://brainly.com/question/21967006
if a part is 3 cm long how long is it in inches
Answer:
1.1811
Step-by-step explanation:
googloo will help lol it's just your search browser
hope this helps :)
Answer:
3 cm to inches is 1.1811
Step-by-step explanation:
divide the length (3) by 2.54 to get covert cm to in
Brainllist if this helped plx
solve the following inequality.
6.3r < -45.36
which graph shows the correct solution?
A) Open circle pointing to the right, starting from -72 to infinity
B) Open circle pointing to the left, starting from -72 to infinity
C) Open circle pointing to the right, starting from -7.2 to infinity
D) Open circle pointing to the left, starting from -7.2 to infinity
Can u help please??
Answer:
D. Open circle, point is at -7.2 pointing to the left.
Step-by-step explanation:
Got it right on Edge 2021! Hope I helped <3
Evaluate the expression
3n - x =
if n = 5 and x = 3
Answer:
12
Step-by-step explanation:
Answer:
she's a 100% correct its 12
Step-by-step explanation:
Give her brainliest!!!!!!
help me please i’ll give u a cookie
Answer:
the answer is B
Step-by-step explanation:
i just did this.
A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown. The side opposite the 30° angle measures 41 feet.
a. Find the length of the side of the lot opposite the 60° angle.
Show how you know.
b. Find the length of the hypotenuse of the triangular lot.
Show how you know.
Answer: a) 71.01408311ft
b)82ft
Step-by-step explanation: Definition of 30-60-90 degree triangle, "a right triangle in which the angle measure 30-60-90 degrees. The hypotenuse is twice the shorted leg and the longer leg is square root of 3 times longer than the shorter."
a) x √3 = 41 √3 = 71.01408311
b) 2x = 2(41) = 82 ft
HELPP ！I'm stucked at question b. can somebody help me? I'm not sure when should I change the sign thank you!
Answer:
dang
Step-by-step explanation:
that looks hard
What is 5/8 divided by 1/4?
Answer: 2.5
Step-by-step explanation: If you do 5/8 divided by 1/4 in the calculator it is 2.5.
If anyone is willing to try and answer this go ahead
Answer:
X intercept: x = 4 or in point form (4,0)
Zero for the function at (4, 0)
Y intercept : y = 160 or in point form (0,160)
slope = -40 mph
Step-by-step explanation:
The y-intercept, x-intercept are directly obtained from the graph by noticing the points on the axes where the line crosses them.
The slope is calculated using the points (0, 160) and (4, 0) and the formula for the slope of the segment that joins them:
slope = (y2 - y1)/(x2 - x1) = (160 - 0) / (0 - 4) = -160/4 = -40
and the units of the slope are miles over hour (that is miles per hour or mph)
85 miles on 8 gallons of gas
Answer:
11.6 miles per gallon
Step-by-step explanation:
Answer:
11.6 miles per gallon
Step-by-step explanation:
just divide
which number is the additve inverse of -5
Answer:
Additive inverses add to 0. The additive inverse of a number is the opposite of the number.
amanda owes $20,000 in student loans for college. The simple interest rate in 6.25% and the loan will be paid off over 6 years. Including interest how much will Jodi pay for her loan? HURRYY!! i will mark brainliest!!
Answer:
$12,500
Step-by-step explanation:
Answer:
27,500.00
Step-by-step explanation:
The following are a list of variables that will almost certainly vary across students in a large undergraduate introductory statistics course.
(a) Favorite beverage
(b) Year of birth
(c) Typing speed
(d) Handedness (e.g., left or right handed)
(e) Age
(f) Occupation
(g) Self-report of Assertiveness
For questions 1a to 1d that follow choose the variable or variables that best represent the level of measurement.
a) Which variables would typically be measured on a nominal scale of measurement?
b) Which variable would likely be measured on an interval, but not a ratio scale?c) Which two variables are most likely to be measured on a ratio scale?d) As typically measured, which variable represents at least an ordinal scale of measurement, but probably not a true interval scale?
Step-by-step explanation:
a. nominal scales
occupation
Favorite beverage
b. Interval but not ratio.
Typing speed
c. ratio scale.
age
Handedness (e.g., left or right handed)
d. Ordinal scale of measurement but not a true interval scale.
Self-report of Assertiveness
year of birth
O SYSTEMS OF EQUATIONS AND MATRICES
Solving a word problem using a 3x3 system of linear equations....
Over the last 3 evenings, Latoya received a total of 96 phone calls at the call center. The second evening, she received 2 times as many calls as the third
evening. The third evening, she received 8 fewer calls than the first evening. How many phone calls did she receive each evening?
Answer:
Find the midpoint of the line segment joining the points R(,) and S(,).
Step-by-step explanation:
Y=3x+10 slope and y intercept
Answer:
The slope is 3 and the y-intercept is 10
Step-by-step explanation:
Answer:
Slope: 3
y-intercept: ( 0 , 10)
Step-by-step explanation:
y=mx+b
y=3x+10
Hope this Helps!!!
x+12x-13 = 0 and azo, what
is the value x+lo?
12. It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480
Answer:
25p+45 < 480
Step-by-step explanation:
Plz help :( I need the negative if y plz show steps 6X plus 6Y equal 83/9 upper 2N
Answer:
x=8
Step-by-step explanation:
Simplifying
Combine like terms
Solving
Review the graph.
Which function is represented in the graph?
y = tanx
y = cosx
y = tan-1x
y = cos-1x
Answer:
D)
Step-by-step explanation:
I used a graphing calculator and typed in every equation and D matched the graph.
The graph given in the figure represents cos^-1(x). The correct option is (D).
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
The graph for the given question shows that for the given function the range and domain are as follows,
Domain = [-1, 1]
Range = [0, π]
The value of the function at 0 is π/2.
Since only the inverse of sinusoids have their range as [-1, 1] and the value of cos(x) at x = π/2 is 0. It implies that the given function is inverse of cos(x).
Hence, the given function represents inverse function of cos(x) which is cos^-1(x).
To know more about trigonometric ratio click on,
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#SPJ2
a hill rises 10 meters over horizontal distance of 8 meters
calculate the slope
Answer:
Slope = 5/4
Step-by-step explanation:
GCF of 10 and 8 is 2, divide both values by two and have the 10 as the rise and 8 as the run.
Whata 7,500lb= to tons what's it
Answer:
3.75 tons djdhdjrjrhejejjwjwjsjs
Answer:
3.75 US tons
Step-by-step explanation:
1 ton =2000 pounds
so 7,500÷2000 =3.75
Can someone help please?
Answer:
f htsbfzsrgbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
fxmynhyxmyrjnbvd
In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct? Check all that apply.
m∠1 = 60°
m∠13 = 80°
m∠6 = 80°
m∠5 = 60°
m∠10 = 120°
m∠ 14 = 100°
Answer:
Its A, B, D, and F
Step-by-step explanation:
On edge2021
The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 52 out of 1258 movies with summer release date earned over 400 million dollars. They also counted that out of 545 movies released in the winter, 8 earned over 400 million dollars.
Over 4 million USD Under 4 million USD
Summer release 57 1251
Winter release 11 544
Total
1. We want to investigate whether there is a difference in the proportion of movies that eam over 400 million dollars for the two release seasons. Which hypotheses should we use?
2. Calculate the difference in the proportions of movies that eamed over 400 million dollars.
3. The paragraph below describes the set up for a randomization test, if we were to conduct a hypothesis test without using software. Fill in the blanks with a number.
We write Summer on_____cards and cards representing the movies with summer release date, and Winter on_____cards. Then, we shuffle these cards and split them into two groups one group of size_____representing the movies with box-office over 400 million dollars, and another group of size_____representing the rest of the movies. We calculate the difference in the proportions of movies that eaned over 400 million dollars during the two release seasons to get PSmmer PWinter. Finally, we build a histogram of these simulated dfterences.
Answer:
Step-by-step explanation:
Over 4 million USD Under 4 million USD Total
Summer release 57 1195 1251
Winter release 11 533 544
1)Let [tex]P_1[/tex] be the proportion of movies that earn over 400 million in summer and [tex]P_2[/tex] be the proportion of movies that earn over 400 million in winter.
Null hypothesis:[tex]H_0:P_1= P_2[/tex]
Alternate hypothesis : [tex]H_a: P_1 \neq P_2[/tex]
2)Calculate the difference in the proportions of movies that earned over 400 million dollars.
[tex]P_1=\frac{57}{1251}=0.045[/tex]
[tex]P_2=\frac{11}{544}=0.0202[/tex]
3)
[tex]P_{(Summer)}-P_{(winter)}=0.045-0.0202=0.0248[/tex]
We write Summer on 1251 cards and cards representing the movies with summer release date, and Winter on 544 cards. Then, we shuffle these cards and split them into two groups one group of size 68 representing the movies with box-office over 400 million dollars, and another group of size representing 1728 the rest of the movies.
eight water faucets having the same rate of flow,fill a tank in 27 minutes.If two faucets are turned off,how long will the remaining 6water faucets take to fill the tank?
Answer:
36 minutes
Step-by-step explanation:
If x is the flow rate of each faucet, then 8x is the flow of eight faucets, and the volume of the tank is:
V = (8x) (27)
V = 216x
When there are six faucets, the time is:
216x = (6x) t
t = 36
0.16
As a repeating fraction
Answer:
0.16161616161616161616161616161616161616161616161616
Step-by-step explanation:
just keep adding whats repeating or put a bar on top of the 16