Answer:
4/9
Step-by-step explanation:
you can set up a proportion: amt water / time
let 'w' = portion of pool
1/3 ÷ 3/4 = w / 1
cross-multiply:
1/3 = 3/4x
9x = 4
x = 4/9
Answer:
4/9
Step-by-step explanation:
1/3 divided by 3= fill in 1/4 hour=1/9
1/9x4=4/9
You randomly select one card from a 52-card deck. find the probability of selecting a red six or a black king.
The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.
To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).
There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.
Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.
Since there are 52 cards in a deck, the total number of possible outcomes is 52.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13
Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.
For more questions on probability
https://brainly.com/question/251701
#SPJ8
Order each set of measure from greatest to least.
1) 1.2 cm, 0.6 in., 0.031 m, 0.1 ft
2) 2lb, 891 g, 1 kg, 0.02 T
3) 1 1/4c,0.4L, 950 mL, 0.7 gal
4) 4.5 ft, 48 in., 1/3m, 120 cm
Answer:
just convert them all to one common measurement
Step-by-step explanation:
a new vaccination is being used in a laboratory experiment to investigate whether it is effective. there are 273 subjects in the study. is there sufficient evidence to determine if vaccination and disease status are related?vaccination statusdiseasednot diseasedtotalvaccinated5762119not vaccinated8371154total140133273step 2 of 8: find the expected value for the number of subjects who are vaccinated and are diseased. round your answer to one decimal place.
The expected value for the number of subjects who are vaccinated and are diseased is 56.7
Since we are given the information that a new vaccination is being used in a laboratory experiment to investigate whether it is effective. there are 273 subjects in the study. We can calculate this by taking the total number of subjects who are vaccinated (119) and multiplying it by the proportion of subjects who are diseased
(47/273). 119 x (47/273) = 56.7
which is the expected value for the number of subjects who are vaccinated and are diseased
To know more about expected value refers to the link brainly.com/question/29574962
#SPJ4
Write the equation 4x + 8y = -24 in slope-intercept form. Then graph the equation.
Answer:
Slope- intercept form is y = -1/2x - 3
Can someone help me? It's urgent and thank you!
Answer:
d = 6
Step-by-step explanation:
Since the line is horizontal then the distance from B to C is the distance between the x- coordinates.
d = | - 3 - 3 | = | - 6 | = | 6 | = 6
Answer:
option C
Step-by-step explanation:
\(distance, d = \sqrt{(x_B- x_C)^2 + (y_B - y_C)^2}\)
\(=\sqrt{(-3 -3)^2 + (6 - 6)^2 }\\\\=\sqrt{(-6)^2 + 0 }\\\\=\sqrt{36}\\\\= 6\)
please help ASAPPPPPPPPPPP
Answer:
Tan 0 = 21/29
Step-by-step explanation:
Use the identity sin(2θ) = 2sin(θ)cos(θ)
You have sin(θ) = 20/29
Given that θ is acute (meaning it's in the first quadrant), and, the opposite side is 20 and the hypotenuse is 29, you can calculate the adjacent side with the Pythagorean Theorem as 21. That means the cos(θ) = 21/29.
So sin(2θ) = 2(20/29) = (21/29)
8. A city has a population of 55,200 people.
The area of the city is approximately 240
square mile. How many people per square
mile live in the city?
Answer:
230 people
Step-by-step explanation:
55,200 divided by 240
Which fraction and decimal forms match the long division problem?
Answer: C
Step-by-step explanation: C
2 divided into 9 parts is 2/9.
Let's' explain this visually
Take this pizza, (image below)
Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.
Now 2/9=0.2 repeating!
This is how I got my answer sorry for the vague explanation
2d – g³ = Ah
find A please:))
Answer:
\(A=\frac{2d-g^3}{h}\)
Joshua randomly selects a vehicle to test drive. There are 12 cars, 9 trucks, and 4 vans on the lot. What is the probability Joshua selects a truck to test drive?
Step-by-step explanation:
The number of vehicles is 25 and the no. of truck is 9 so the probability is 9/25
When it comes to creditors and
debtors, which of the following
occurs?
A. Creditors and debtors receive loans from
consumers as capital.
B. Every debtor is guaranteed a loan.
C. Debtors receive loans as capital from creditors.
D. All creditors have the same interest rates for
debtors.
The only true given statement about debtors and creditors is; C. Debtors receive loans as capital from creditors.
How to identify creditors and debtors?Debtors are defined as the party from whom we have to receive the payment in the form of cash or any negotiable instrument.This means an asset for the firm.
Meanwhile, the creditors are defined as the party to which we will pay in the future agreed date in the form of cash or any negotiable instrument. This means liability for a firm.
A) This is not true because creditors don't receive loans from consumers as capital. This is the role of debtors.
B) This is not correct because it is not true that every debtor is guaranteed a loan.
C) This is true as defined earlier on the role of debtors and creditors.
D) This is not true because different creditors have different lending rates as the case may be.
Read more about Creditors and debtors at; https://brainly.com/question/25919625
#SPJ1
Is -y/4 = 2x -5 linear
1. If 50% of x is 20, what
is 10% of c ?
A. 4
B.16
C. 20
D.40
Answer:
b???????????????????????????
Step-by-step explanation:
Which of the following triangles describes AA similarity?
The triangles AEB and DEC describes AA similarity .
What is AA Similarity ?
Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .
In the question ,
a figure is given .
in triangle AEB and triangle DEC ,
we can see that ,
∠AEB ≅ ∠DEC , because they are vertically opposite angles .
On rotating triangle CED by 180° around the point E, then the translate point D to point A confirms ∠EAB ≅ ∠EDC.
Since two angles are Congruent
So , By AA Similarity , triangles AEB and DEC are Congruent .
Therefore , the triangles AEB and DEC are Congruent .
The given question is incomplete , the complete question is
Which of the following triangles in the given figure describes AA similarity ?
Learn more about Similarity here
https://brainly.com/question/27884002
#SPJ4
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. PLEASE ANSWER THIS QUESTION RIGHT
Answer:
Area = 130 sq.in
Step-by-step explanation:
\(A=\frac{(26)(10)}{2} =\frac{260}{2} =130sq.in\)
Hope this helps
graph the function?can you also try to edit on the graph?
The function is given to be:
\(f(x)=4\cdot(\frac{3}{2})^x\)We can prepare a table of values for the values of x ranging from -2 to 2. The table is shown below:
Using a graphing calculator, we can plot the graph as shown below:
find the equation in point slope form of the line that lasses through the point (1,2) with the slope m=2/3
Input data
Point = (1, 2)
m = 2/3
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
\(\begin{gathered} b=y-mx \\ b=2-\frac{2}{3}1 \\ b=2-\frac{2}{3} \\ b=\frac{4}{3} \end{gathered}\)The equation of the line that passes through the point (1,2) with a slope of 2/3
\(y=\frac{2}{3}x+\frac{4}{3}\)\(y-2=\frac{2}{3}(x-1)\)a questionnaire concerning satisfaction with the financial aid office on campus was mailed to 50 students on a university campus. the 50 students are an example of a
The 50 students are an example of a sample population
Questionnaire SampleA sample is a subset of a population that is used to represent the entire population. In this case, the 50 students who received the questionnaire are a sample of the population of students on the university campus. The results of the questionnaire would be used to make inferences about the satisfaction of the entire student population with the financial aid office on campus. The importance of the sample lies in the fact that it allows researchers to make inferences about a larger population based on a smaller, more manageable group of individuals. This is done by selecting a sample that is representative of the population of interest.
By studying a sample, researchers can make predictions about the characteristics of the larger population, such as the percentage of students who are satisfied with the financial aid office on campus. This can be done with a high degree of accuracy if the sample is chosen and analyzed properly. Additionally, studying a sample can also be much more cost-effective and time-efficient than studying the entire population. However, it's important to keep in mind that the sample may not be perfectly representative of the population and it may introduce some errors, called sampling errors, in the inferences made about the population.
So, 50 students as an example of a population sample to fill out the questionnaire.
To learn more about the sample:
https://brainly.com/question/1121864
#SPJ4
PH Find the expected value of the winnings from a game that has the following payout probability distribution: 1 2 Payout ($) 0 5 10 0.1 Probability 0.12 0.2 0.38 0.2 Expected Value = [?] Round to the nearest hundredth.
Answer:
2.96
Step-by-step explanation:
Just multiply the payout by its probability
0*.12+1*.2+2*.38+5*.2+10*.1=2.96
I begin with a three-digit positive integer. I divide it by 9 and then subtract 9 from the answer. My final answer is also a three-digit integer. How many different positive integers could I have begun with?
Answer:
4
Step-by-step explanation:
Answer:3
Step-by-step explanation:
1. 12x^2-8x
2. x^2+5x-36
3. 3x^2+10x+8
Please show how to solve these problems, thanks.
Answer:
1. 12x^2-8x
taking common 4x
4x(x-2)
2. x^2+5x-36
doing middle term factorization
x²+9x-4x-36
x(x+9)-4(x+9)
(x+9)(x-4)
3. 3x^2+10x+8
Doing middle term factorization
3x²+6x+4x+8
3x(x+2)+4(x+2)
(x+2)(3x+4)
Work out the volume of this cylinder. Give your answer rounded to the nearest whole number. 28mm 45mm
if radius is 45
V≈1.78×10^5
if radius is 28
V≈1.11×10^5
volume = pi times radius squared times height
if radius is 45
volume = pi times 45 squared times 28
the perimeter of a parallelogram is 64 meters .The width of the parallelogram is 8 meters less than its length .Find the length and the width of the parallelogram (x-8)
Answer:
The length of the parallelogram is 18 meters
The width of the parallelogram is 16 meters
Step-by-step explanation:
The perimeter of a parallelogram is 68 meters
LEt x be the length of the parallelogram
Width is 2 meters less than its length
Width =x-2
Perimeter of parallelogram = 2(length + width)
Perimeter of parallelogram =
=
Add 2 on both sides
Divide by 4 on both sides
x=18
The length of the parallelogram is 18 meters
The width of the parallelogram is 18-2= 16 meters
The area of a rectangle is (1 + √6). The length of one side is (√3+√2)m. Find without using a calculator, the length of the other side in the form √a + √b. where a and b are integers.
Answer:
2.236067977
Step-by-step explanation:
(√a+√b) = (√3+√2)
= (√5)
the length of the other side = 2.236067977
Answer:
\(( \frac{1 + \sqrt{6} }{ \sqrt{3} + \sqrt{2} } ) (\frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} - \sqrt{2} } )\)
\( \sqrt{3} - \sqrt{2} + \sqrt{18} - \sqrt{12} \)
\( \sqrt{3} - \sqrt{2} + 3 \sqrt{2} - 2 \sqrt{3} \)
\(2 \sqrt{2} - \sqrt{3} \)
\( \sqrt{8} - \sqrt{3} \)
So the length of this rectangle is (√8 - √3) meters, or (2√2 - √3) meters.
consider the construction of a pen to enclose an area. you have 400 ft of fencing to make a pen for hogs. if you have a river on one side of your property, what are the dimensions (in ft) of the rectangular pen that maximize the area?
The length and width of the rectangular pen that optimizes the area are 400 feet and 200 feet, respectively, according to the perimeter of a rectangle.
what is perimeter ?The perimeter of a shape is the sum of the lengths of all its edges. For example, a triangle has three edges, hence its perimeter is equal to the sum of those three lengths.The perimeter of a form can be calculated by adding the lengths of all its sides. A perimeter example is what? A field with a length of 24 yards and a width of 15 yards, for instance, will have a perimeter of 78 yards.
calculation
In order to construct a hog pen, I have 800 feet of fencing.
Assume that "l" represents the rectangle's length and "w" its width.
One of your properties borders a river that I own.
I can secure my property with fencing on its three sides.
because of this, the fencing's necessary perimeter p = l + 2w
The fencing's perimeter is now equal to
⇒ l + 2w = 800
= l = 800 - 2w
now the rectangle's area = A = lw
Therefore, A = l * w = w ( 800 - 2w ) = 800w - \(2w^{2}\)
By diffusing the area equation, we can figure out the rectangle's greatest area.
Therefore, A' = 800 - 4w
Again, A" = -4
The rectangle has the largest area since the second order differentiation is constant negative.
Put simply, we obtain: A' = 0 , A' = 800- 4w
⇒800- 4w = 0
⇒ 4 w = 800
⇒ w = 200
So the rectangle has a 200-foot width.
The rectangle's length is currently:
l = 800 - 2w = 800 - 2 ( 200 ) = l = 400 feet
The length and width of the rectangular pen that optimizes the area are 400 feet and 200 feet, respectively, according to the perimeter of a rectangle.
To know more about perimeter visit :-
https://brainly.com/question/6465134
#SPJ4
PLEASE HELP I WILL GIVE BRAINIEST!!!!
What is the value of (8 x 10^-2) x (2 x 10^5)? Express your answer using
scientific notation
quest
O 1 x 10^4
O 16 x 10^3
O 1.6 x 10^4
O 10 x 103
O 16 x 10^-10
Answer:
1.6 x 10^4
Step-by-step explanation:
First, 8*2 = 16
Since we are using scientific notation, this is expressed as 1.6 * 10^1
When we multiply using scientific notation, we add the exponents, therefore, 10^-2 x 10^5 = 10^3
1.6 x 10^1 x 10^3
We get 1.6 x10^4
If 1 Hour = 60 minutes then
(b) 3/10 of an hour = ___
Consider the compound inequality x < 4 and x > a . For what value(s) of a would the compound inequality have infinite solutions? Justify your answer.
a would the compound inequality have infinite solutions if a = 4
x < 4 AND x > a.
if a = 4 and we use an "or" instead of the "and" we have:
x < 4 or x > 4.
This is:
"x is larger than 4 or smaller than 4."
Then the solution of this is all the real numbers except the value x = 4.
The set of solutions can be written as:
{xI x ∈ R \ [4]}
Where this reads:
"x belongs to the set of the reals minus the number 4".
Or we also could write it as:
x ∈ (-∞, 4) ∪ (4, ∞)
Where we have two open ends in the "4" side, so the value x = 4 does not belong to that set.
To learn more about Compound Inequality visit :
https://brainly.com/question/13589585
#SPJ9
you visit the tallest building in a city and drop a penny off the edge of the observation deck. the distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. how many feet will the penny fall during the 8th second? 384 feet
The penny will fall from distance of 232 feet during the 8th second only, as it falls 960 feet in the first 8 seconds, but 728 feet in the first 8 seconds.
The distance the penny falls each second is increasing by 32 feet (16 feet + 32 feet = 48 feet, 48 feet + 32 feet = 80 feet, and so on). Therefore, during the 8th second, the distance it will fall is:
16 + 48 + 80 + ... + (8 - 1) * 32 feet
Using the formula for the sum of an arithmetic sequence, we get:
(8 / 2) * (16 + (8 - 1) * 32) feet
= 4 * (16 + 7 * 32) feet
= 4 * 240 feet
= 960 feet
So the penny will fall 960 feet during the first 8 seconds. However, we need to subtract the distance it fell during the first 7 seconds to find the distance it fell during the 8th second only. The total distance it fell during the first 7 seconds is:
16 + 48 + 80 + ... + (7 - 1) * 32 feet
= (7 / 2) * (16 + (7 - 1) * 32) feet
= 3.5 * (16 + 6 * 32) feet
= 3.5 * 208 feet
= 728 feet
Therefore, the penny will fall 960 - 728 = 232 feet during the 8th second only.
To know more about Distance:
https://brainly.com/question/29031157
#SPJ4
Guided Practice
THE ANSWER IS NOT LETTER A
Write the equation in standard form using integers.
y = 4x – 7
A.
4x – y = –7
B.
4x + y = 7
C.
4x – y = 7
Answer:
C.
4x – y = 7
Step-by-step explanation:
Write in standard form.
4
x
−
y
=
7
y
=
4
x
−
7
The standard form of a linear equation is
A
x
+
B
y
=
C
.
Rewrite the equation with the sides flipped.
4
x
−
7
=
y
Move all terms containing variables to the left side of the equation.
Tap for more steps...
4
x
−
y
−
7
=
0
Add
7
to both sides of the equation.
4
x
−
y
=
7
variable
A letter used to represent a number value in an expression or an equation.
equation
A mathematical statement that says two expressions have the same value; any number sentence with an
=
.