Step-by-step explanation:
sqrt(50) = sqrt(25×2) = 5×sqrt(2)
Find the area of a rectangle with a length of 5 feet and a width of 4 5/9 feet. Write the answer as a fraction and as a decimal. Use three consecutive points to show repeating decimals, if necessary
Answer:
22.7.....feet^2Step-by-step explanation:
Step one:
given data
we are told that the length is 5 feet
and also the width is given in fractional form as 4 5/9
let's convert to decimal 4+0.55= 4.555555555555555
the width is a repeating decimal hence width = 4.5...feet
Step two:
The expression for the area is
A= lenght * width
A= 5*4.5
A=22.7...feet ^2
The area of the rectangle is 22.7 feet^2
if drawing a red marble is 20% and a green marble is 28.57% and a blue marble 22.8% and a yellow marble is 22.85%, what is the probabilty of picking a red one then a green one then a blue one?
The probability of picking a red marble, then a green marble, and finally a blue marble is 0.091424%, or approximately 0.09%.
To find the probability of picking a blue marble, given that we have already picked a red and a green marble, we use the same method:
P(B|R and G) = P(R and G and B) / P(R and G)
where P(B|R and G) is the probability of picking a blue marble, given that a red marble and a green marble have been selected, and P(R and G and B) is the probability of picking a red marble, then a green marble, and finally a blue marble.
Using the given probabilities, we can plug in the values and simplify:
P(B|R and G) = (0.2 x 0.2857 x 0.228) / (0.2 x 0.2857) = 0.016
This means that if we have already picked a red marble, then a green marble, there is a 1.6% chance of picking a blue marble next.
Finally, to find the probability of picking a red marble, then a green marble, and finally a blue marble, we multiply the probabilities of each event together:
P(R and G and B) = P(R) x P(G|R) x P(B|R and G)
=> 0.2 x 0.2857 x 0.016 = 0.00091424 or 0.09%
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Last question for the day plz help thank you!!<3
Answer: A
Step-by-step explanation:
Sorry for the screen! please help if possible
The components of the vector are the ones in option A.
9.3m East and 23.2m North,
How to find the components?
We can define our coordinate axis as:
positive y-axis = North.
positive x-axis = East.
Here we have a vector that is at an angle of 22° north of east, then using the Pythagorean's theorem we can get the components as:
y = sin(22°)*25m = 9.36m
x = cos(22°)*25m = 23.18m
Then the components of the vector are 9.3m East and 23.2m North, which is the first option.
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PLEASE HURRY
What function is graphed below?
(options are included in image)
Answer:
(d) y = tan(x) +2
Step-by-step explanation:
You want to identify the tangent or cotangent function that passes through point (0, 2) and has a period of π.
TangentThe cotangent function is undefined at x=0, so options A and C can be excluded from consideration.
The tangent function is 0 at x=0, so the point (0, 2) has the value 2 added to the tangent function:
y = tan(x) +2 . . . . . . matches choice D
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A quality control inspector tested 235 CDs and found 8 defective
What is the relative frequency of finding a defective CD?
Answer:
235 C D s =
8 =
Step-by-step explanation:
The total cost of making a daily taco special for a restaurant is represented by the function C(t)=2.5t+1, where t is the number of tacos made. How does the total cost change for every taco special the food truck makes? a: $1 b: $2.50 c: -$1 d: -$2.50
Given:
The total cost of making a daily taco special for a restaurant is represented by the function
\(C(t)=2.5t+1\)
Where t is the number of tacos made.
To find:
The total cost change for every taco special the food truck makes.
Solution:
We have,
\(C(t)=2.5t+1\)
Here, 1 is a constant because it is free from the variable and 2.5 is the coefficient of t.
It means, 1 represents fixed cost of making tacos but 2.5t changes with respect to t. Thus, 2.5 represents the addition cost of every taco special the food truck makes.
So, $2.5 is the total cost change for every taco special the food truck makes.
Therefore, the correct option is b.
The graph shows how a store sells peppers by weight at a constant price per pound
Which of these statements is true?
Pepers)
Peppers cost $9 per pound,
The unitenst for peppers is $4,50 per pound,
You could get 2 pounds of peppers for $12
Peppers cost 84 per pound,
Answer:?
Step-by-step explanation: did u get the answer
Answer:
Step-by-step Peppers cost $4 per pound
explanation:
Hiiooo! I really need help. Can someone please help me with this?
-Boopy
Answer:
312 people
Step-by-step explanation:
Hello!
Step 1:
First, we want to calculate what percentage of the random sample voted pretzels. To do that, we divide the number of pretzel voters depending on the total number of voters.
Calculate:
Pretzel voters ÷ Total voters27 ÷ (78 + 27 + 55 + 65)27 ÷ 2250.1212%So, approximately 12% of the sample voted on pretzels.
Step 2:
Now that we know the average percentage of people that want pretzels, we can find the same percentage of the actual population of 2600 people.
We need to solve for 12% of 2600
Calculate:
12% of 26000.12 * 2600312Based on our percentages, we predict that 312 people favor pretzels.
Solve by using the quadratic formula:
x2 - 6x + 7 = 0
Final Answer: \(x = 3 + \sqrt{2}, 3 - \sqrt{2}\)
Steps/Reasons/Explanation:
Question: Solve by using the quadratic formula: \(x^{2} - 6x + 7 = 0\).
Step 1: Use the Quadratic Formula.
\(x = \frac{6 + \sqrt[2]{2} }{2}, \frac{6 - \sqrt[2]{2} }{2}\)
Step 2: Simplify solutions.
\(x = 3 + \sqrt{2}, 3 - \sqrt{2}\)
~I hope I helped you :)~ The quadratic formulaic is attached in an image.
Two similar triangular pastures meet at a
vertex, The dimensions are glven in yards,
How much fencing would be needed to
enclose the larger pasture?
11
7
5
13
x
у
A 28.2 yards
42.7 yards
47 yards
59.8 yards
Note that this is still a rectangle, and the length of the fencing is still 600 ft.
So the sum of the sides NOT along the river x + x + y = 600, and the area equals xy.
This makes the two equations: 2x + y = 600, and A = xy.
To find the largest area, we need to find A as a function of x or y. I suggest solving the first equation for y and replacing that in the second equation.
y = 600 - 2x. and A(x) = x(600-2x)
We now need to maximize A(x) = 600x - 2x2.
Remember, if x = -b/(2a), we find the x value of the vertex, the y value can be found by substitution.
So, since a = -2, and b = 600, x = -600/(-4) = 150 ft. If x = 150, y = 600 - 2(150) = 300.
So, the dimensions are 150 x 300 and the maximum area = 300(150) = 45,000 ft2
I hope this helps. By the way, there are many variations of this, and they are all similar. For example, you might want to make several pens with two lengths parallel and have three parallel withs inside.
Find each measure. Assume that segments that appear to be tangent are tangent.
Answer: 97 degrees
Step-by-step explanation:
ANOTHOR ONE WHAT IS 200X200 ?? FIRST PERSON TO ANSWER WILL BE MARK BRAINLIEST!! GOOD LUCK!!
Answer:
40,000
Step-by-step explanation:
Answer:
its 40,000
Step-by-step explanation:
An easy way is to multiply 2x2 and add the total number of 0's in the equation after the 4.
HELP PLSSSSS I'm begging y'all
Hi friend! Apologies, this says "Unit 6 Test". We can't help you on this one. Good luck though!
What is the mean absolute deviation of this data set?
4, 8 , 3, 8, 7, 10, 9
Answer: Mean Absolute Deviation (MAD): 7
Hope this helps u!
Have a good day and stay safe!
Answer:
7
Step-by-step explanation:
\(\frac{3+4+7+8+8+9+10}{7}\)
\(\frac{49}{7}\)
49 ÷ 7 = 7
Tyrell gave 3 packs of baseball cards to his friends. He gave each friend 1/2 of a pack. How many friends got baseball cards?
Answer:
The answer is 6, my other answer got deleted for being "incomplete" even through I was marked as brainliest
Step-by-step explanation:
whoever answers first gets 100 points :))
Answer:
정말 고맙습니다!!\( \infty \infty \infty \infty \infty \)Answer:
Gracias por puntos!!!!!!!!!!!!
The expected variability or standard deviation of the means from many different random samples is known as what quantity?
This declaration is True.
The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.
What is the standard deviation of the sample means also called?The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.
What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?
Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.
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The given question is incomplete, complete question is:
The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter
PLEASE HELP DESPERATE
The average cost of producing a security system based on the total number of systems produced, x, is represented by the following function.
f(x)=400+20000/x
The mathematical range is all real numbers excluding 0, but the reasonable range is limited to y > __
Answer:
400
Step-by-step explanation:
just took the test
★PLSSSSS HELPPPPPPPPP★
Answer:
Cellular respiration
Step-by-step explanation:
If Tony earns five dollars on Monday and five dollars on Tuesday is that a sum of zero? need help I’m in 4th
Answer:
The sum is $10
Step-by-step explanation:
Since Tony got $5 on Monday and $5 on Tuesday, we can add them together by doing 5+5. We can add 5 and 5 together to get a total of $10 that Tony has earned. This means that it isn't a sum of 0 but a sum of 10.
(hope this helped)
Select the correct answer from each drop-down menu. Consider this product. x²-3x-10/x²-6x+5 × x-2/x-5
Answer:
The simplest form of the product has a numerator of (x-5)(x+2) and a denominator of (x-5). The expression has an excluded value of x=5.
Here are the steps to simplify the expression:
Factor the numerators and denominators of each fraction.
The numerator of the first fraction can be factored as (x-5)(x+2).
The denominator of the first fraction can be factored as (x-5).
The numerator of the second fraction cannot be factored further.
The denominator of the second fraction can be factored as (x-5).
Multiply the two numerators and multiply the two denominators.
(x-5)(x+2) * (x-2) = (x-5)(x+2)(x-2)
(x-5) * (x-5) = (x² - 25)
Cancel any common factors.
(x² - 25)(x+2) / (x-5) = (x² - 25)(x+2) * (x-5)^(-1)
(x² - 25)(x+2) / (x-5) * (1/(x-5)) = (x² - 25)(x+2) * 1
The simplified expression is:
(x² - 25)(x+2)
The expression has an excluded value of x=5 because the denominator of the simplified expression is equal to 0 when x=5. This means that the expression is undefined when x=5.
hope this helps :))))
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 2.1
Step-by-step explanation:
We have:
=
=> sin38 × x = sin90 × 1.3
=> x = 1.3 ÷ sin38
=> x = 2.11155001... = 2.1
<3 Have a nice day!!
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Find the discriminant of the quadratic equation x2 + 10x + 24 = 0 and use it to determine the number and types of solutions. b2 − 4ac
Answer:
Step-by-step explanation:
x² + 10x + 24 = 0
Discriminant = 10² - 4×1×24 = 4
The discriminant is positive, so there are two distinct, real solutions.
Answer:
The answer is C) 4; Two real solutions.
Step-by-step explanation:
x2 + 10x + 24 = 0 in the function
x2 resembles a
10x resembles b
24 resembles c
so, let's convert.
b2-4ac
(10) ^2 - 4(1)(24)
100 - 96
= 4
The inability to remember how Lincoln's head appears on a penny, or whether the water in the sink drains clockwise or counterclockwise, is most likely due to a failure in:
Creation
There is no other way
(a) (-3) × _____ = 4 × _____
Answer:
_3×4=4×_3=-12,pardon me if I am wrong I am just a beginner ❤
\(\large\bf{\underline{Answer :}}\)
\( \huge \: ( - 3) \times \underline{4} = 4 \times \underline{( - 3)}\)
__________________________________________
\(\huge\bf{\underline{Proof :}}\)
\(\large\bf{\underline{L.H.S :}}\)
(-3) × 4 = -12\(\large\bf{\underline{R.H.S :}}\)
4 × (-3) = -12\(\large\bf{\underline{Hence }}\)
\(\large\bf{\underline{L.H.S = R.H.S}}\)
How many cubes with side 2cm are needed to make a cube with side 6cm
Answer:
27 cubesStep-by-step explanation:
Cube with side 2 has volume:
2³ = 8Cube with side 6 has volume:
6³ = 2³*3³ = 8*27Number of cubes:
8*27/8 = 27approximate ln(1.2) using the 3rd order taylor polynoymial for f(x) = lnx centered at 1 Then, estimate the error of the approximation.
The error of the approximation is approximately -0.0000031.
The given function is f(x) = ln x.
To approximate ln(1.2) using the third-order Taylor polynomial for f(x) = ln x centered at 1, we can start by finding the derivatives of f(x) up to order
3. 1. f(x)
= ln x f(1)
= 0 f'(x)
= 1/x f'(1) =
1 2. f''(x)
= -1/x² f''(1)
= -1 3. f'''(x)
= 2/x³ f'''(1)
= 2
Now, using the third-order Taylor polynomial, we have:
P₃(x) = f(1) + f'(1)(x - 1) + [f''(1)/2!](x - 1)² + [f'''(1)/3!](x - 1)³P₃(x)
= 0 + 1(x - 1) + [-1/2](x - 1)² + [2/6](x - 1)³P₃(x)
= (x - 1) - (x - 1)²/2 + (x - 1)³/3
Now, we can use this polynomial to approximate ln(1.2):
ln(1.2) ≈ P₃(1.2)ln(1.2)
≈ (1.2 - 1) - (1.2 - 1)²/2 + (1.2 - 1)³/3ln(1.2)
≈ 0.1832
Next, we need to estimate the error of the approximation.
We can use the Lagrange remainder formula to find this error:
R₃(x) = [f⁴(z)/4!](x - 1)⁴, where z is some number between 1 and x.R₃(1.2) = [f⁴(z)/4!](1.2 - 1)⁴
We know that f(x) = ln x and f⁴(x) = -6/x⁵.
Plugging in z = c, where 1 < c < 1.2, we get:
R₃(1.2) = [-6/c⁵ * (1.2 - 1)⁴]/4!R₃(1.2)
≈ -0.0000031
Therefore, the error of the approximation is approximately -0.0000031.
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Julius can walk 1/3 of a mile in 1/6 of an hour. How far can he walk in one hour
PLEASE HELP!! brainliest if correct!!