Answer:
The price of taco should be $6
Step-by-step explanation:
The rule is that the price of a food item should be four times the price of the ingredients used in making the food item.
mathematically,
[tex]y = 4x[/tex]
where [tex]y[/tex] is the price of the food item
[tex]x[/tex] is the price of the ingredients
If the price of ingredients for making taco is 1.5 dollars
price of taco = ?
substituting into the equation
[tex]y[/tex] = 4(1.5) = $6
A director of the library calculates that 10% of the library's collection is checked out. If the director is right, what is the probability that the proportion of books checked out in a sample of 899 books would be less than 11%? Round your answer to four decimal places.
Answer:
0.8413
Step-by-step explanation:
p = 0.10
σ = √(pq/n) = 0.01
z = (x − μ) / σ
z = (0.11 − 0.10) / 0.01
z = 1
P(Z < 1) = 0.8413
The probability that the proportion of books checked out in a sample of 899 books would be less than 11% is approximately 0.5425.
We have,
We can use the normal approximation to the binomial distribution to find the probability that the proportion of books checked out in a sample of 899 books would be less than 11%.
First, we need to calculate the mean and standard deviation of the binomial distribution:
Mean:
np = 899 × 0.1 = 89.9
Standard deviation:
√(np(1-p)) = √(899 × 0.1 × 0.9) = 9.427
Next, we need to standardize the sample proportion of 11% using the formula:
z = (x - μ) / σ
where x is the sample proportion, μ is the mean of the distribution, and σ is the standard deviation of the distribution.
Substituting the values we have, we get:
z = (0.11 - 0.1) / 0.9427 = 0.1059
Using a standard normal distribution table or calculator, we can find that the probability of getting a z-score less than 0.1059 is 0.5425.
Therefore,
The probability that the proportion of books checked out in a sample of 899 books would be less than 11% is approximately 0.5425.
Rounded to four decimal places, the answer is 0.5425.
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Lindsey made an error while solving this equation. 143.5 = 2 - (7(x+3). What line has the error?
(Refer to image)
A: Step 1
B: Step 2
C: Step 3
D: Step 4
Answer:
Step 1
Step-by-step explanation:
She didn't distribute the negative while she distributed 7. It should be -7x - 21, not 7x - 21.
PLEASE HELP!!(PIC INCLUDED)
Which of the following steps were applied to ABCD to obtain A'B'C'D?
A. shifted 3 units right and 2 units down
B. shifted 4 units right and 2 units down
C. shifted 2 units right and 3 units down
D. shifted 3 units right and 1 unit down
Answer:
A. Shifted 3 unit right and 2 unit down
Step-by-step explanation:
Let's determine the reason for the answer.
We will use a reference point, only one point to determine the reason.
Because the both shape are identical.
Let's use point A
The position of A is 2 on the y axis and 1 on the x axis
While the position of A' is 0 on the y axis and 4 on the X asis
Let's know how many units where moved from the position.
A' -A
For X axis
4-1= 3
For y axis
0-2= 2(we need only the magnitude)
So its 2 units Down and 3 unit right
A politician who is running for the office of mayor of a city with 25,000 registered voters commissions a survey. In the survey, 48% of the 200 registered voters interviewed say they plan to vote for her. a. What is the population of interest?
Answer:
The 25,000 registered voters
Step-by-step explanation:
Population includes the entirety of the set of data, it consists of all the elements of a data set. For example all the students in a school, all the citizens of a country etc.
While the sample is the elements of the population from which observations are drawn from.
Therefore, for the case above, the population is the entirety of the registered voters in the city, that is all the 25,000 registered voters.
1/4 ÷ 3/8 simplest form
Answer:
2/3
Step-by-step explanation:
divide by a fraction = multiply by reciprocal
1/4 * 8/3
2/3
Answer:
⅔
Step-by-step explanation:
= ¼ ÷ ⅜
= ¼ × ⁸/3
= ⅔
Have a great day !
Write the function whose graph is the graph of y= Vx, but is translated 5 units downward.
Answer:
y = Vx - 5
Step-by-step explanation:
shift down is -5
y = Vx - 5 is the function whose graph is the graph of y= Vx, but is translated 5 units downward.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The function y = Vx represents the square root function, which is a graph of a half of a parabola opening upwards and passing through the point (0, 0).
To translate this function 5 units downward, we need to subtract 5 from the function. Therefore, the function we need is:
y = Vx - 5
This is the square root function shifted downward by 5 units.
The graph of this function will be the same as the graph of y = Vx, but shifted 5 units downward.
Hence, y = Vx - 5 is the function whose graph is the graph of y= Vx, but is translated 5 units downward.
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Which statement explains if a dilation was applied? A dilation was applied to the fabric because the width of the fabric was preserved. A dilation was applied to the fabric because the angle measures were preserved. A dilation was not applied to the fabric because the angle measures are the same. A dilation was not applied to the fabric because the length was changed, not the width.
Answer:
A dilation was not applied to the fabric because the length was changed, not the width.
Step-by-step explanation: B was not the answer it was D.
Answer:
D.
Step-by-step explanation:
Edge 2022.
please help. Find the value of x
Answer:
x =24
Step-by-step explanation:
Call the angle in the lower right corner y
The outside angles add to 180 degrees for the large triangle
41+ 94+ y = 180
135 + y = 180
y = 180-136
y =45
The small triangle in the lower right also has angles that add to 180
y+ 111+x = 180
45+111+x = 180
156 + x = 180
x = 180-156
x =24
Answer:
x = 24
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
a + 111 = 180
180 - 111 = a
a = 69
Angles in a quadrilateral add up to 360 degrees.
69 + 41 + 94 + c = 360
204 + c = 360
c = 360 - 204
c = 156
Angles on a straight line add up to 180 degrees.
x + 156 = 180
x = 180 - 156
x = 24
Which statements about the circle are correct? Check all that apply Arc PQ is congruent to arc SR. The measure of arc QR is 150 The circumference of circle C is cm. Arc PS measures about 13.1 cm. QS measures about 15.7 cm.
Answer:
1st 2nd 4th 5th
PLZ I need Help the Question is: 5+13·18+85÷17−11
Answer:
233
Step-by-step explanation:
Write the equation of each line in slope intercept form (If possible please show work)
Hope it make sense now :)
Given: a concave polygon Conjecture: It can be regular or irregular
Answer:
[tex]false[/tex]Step-by-step explanation:
A concave polygon can never be regular (all sides and angles must be congruent). Hope this helps..
7. Factor by grouping.
6p2 - 17p - 45
A (2p - 9)(3p + 5)
B (2p + 9)(3p + 5)
7096
Oc
C (2p - 9)(3p - 5)
90%
D (2p + 9)(3p - 5)
ping
Answer:
Step-by-step explanation: 4
The amount of time t(in minutes) that it takes to put out a fire varies inversely with G, the volume of water used (in hundreds of gallons). When G is 2, t is 20. Find how long it takes to put out a fire when 500 gallons of water (G = 5) are used.
Answer:
50 minutes.
Step-by-step explanation:
You can use a ratio to solve:
[tex]t[/tex] : [tex]G[/tex]
20 : 2
10 : 1
[tex]x[/tex] : 5
[tex]x[/tex] must be 50 minutes since 100 gallons of water takes 10 minutes.
g Determine whether the statement is true or false. If fx(a, b) and fy(a, b) both exist, then f is differentiable at (a, b). True False Correct: Your answer is correct.
Answer:
False
Step-by-step explanation:
A function is said to be differentiable over a given region if the function is continuous and has only one value for each input.
Therefore in order to conclude that f is differentiable at (a, b), the partial derivatives must be continuous at (a, b).
It is true that the function has to be defined over a given region because without it, you cannot determine if a partial derivative is continuous or otherwise.
But the fact that the partial derivatives exist at a point is not a sufficient condition for continuity.
I NEED HELP PLEASE, THANKS! :)
Answer:
Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1
Step-by-step explanation:
This is Principle of Mathematical Induction ---PMI
Step 1: Verify that Sn is valid for n =1
Step 2:Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1
The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is given in seconds and d is measured in meters. Find an expression for the instantaneous velocity v(t) of the particle at any given point in time. Question 1 options: 6t3 – 5 5t3 + 6 6t2 + 5 5t2 – 6
Answer:
(C)[tex]6t^2+5[/tex]
Step-by-step explanation:
Given the distance, d(t) of a particle moving in a straight line at any time t is:
[tex]d(t) = 2t^3 + 5t - 2, $ where t is given in seconds and d is measured in meters.[/tex]
To find an expression for the instantaneous velocity v(t) of the particle at any given point in time, we take the derivative of d(t).
[tex]v(t)=\dfrac{d}{dt}\\\\v(t) =\dfrac{d}{dt}(2t^3 + 5t - 2) =3(2)t^{3-1}+5t^{1-1}\\\\v(t)=6t^2+5[/tex]
The correct option is C.
Answer:
6t2+5
Step-by-step explanation:
the instantaneous growth rate r of a colony of bacteria t hours after the start of an experiment is given by the function r=0.01t^3-0.07t^2+0.07t+0.15 for 0≤t≤7. find the times for which the instantaneous growth rate is zero.
Answer:
t = 5,-1,3
Step-by-step explanation:
r=0.01t^3-0.07t^2+0.07t+0.15
For simplification let's multiply the equation by 100
100r = t³ - 7t² + 7t + 15
When r= 0
t³ - 7t² + 7t + 15= 0
Let's look for the value of t.
Let's try a possible division
(t³ - 7t² + 7t + 15)/(t-5) = t² -2t -3
So we've gotten one as t-5
Let's factorize t² -2t -3
= t² +t -3t -3
= t(t+1) -3(t+1)
= (t+1)(t-3)
So we have
(t-5)(t+1)(t-3)
What it means is that the possible values are when
t = 5,-1,3
These are also called the roots of the equation
Answer:I don’t know
Step-by-step explanation: fruit flys are weird
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.)∫414√lnxdx,n=6
Answer:
trapezoidal rule: 14.559027midpoint rule: 14.587831Simpson's rule: 14.577542Step-by-step explanation:
We assume you want the integral ...
[tex]\displaystyle\int_4^{14}{\sqrt{\ln{x}}}\,dx[/tex]
The width of each interval is 1/6 of the difference between the limits, so is ...
interval width = (14 -4)/6 = 10/6 = 5/3
Then the point p[n] at the left end of each interval is ...
p[n] = 4 +(5/3)n
__
Trapezoidal Rule
The area of a trapezoid is the product of its average base length multiplied by the width of the trapezoid. Here, the "bases" are the function values at each end of the interval. The integral according to the trapezoidal rule can be figured as ...
[tex]\dfrac{5}{3}\sum\limits_{n=0}^{5}\left(\dfrac{f(p[n])+f(p[n+1])}{2}\right)[/tex]
integral ≈ 14.559027
If you're doing this on a spreadsheet, you can avoid evaluating the function twice at the same point by using a weighted sum. Weights are 1, 2, 2, ..., 2, 1.
__
Midpoint Rule
This rule uses the area of the rectangle whose height is the function value at the midpoint of the interval.
[tex]\dfrac{5}{3}\sum\limits_{n=0}^{5}{f(p[n+\frac{1}{2}])}[/tex]
integral ≈ 14.587831
__
Simpson's Rule
This rule gives the result of approximating the function over each double-interval by a parabola. It is like the trapezoidal rule in that the sum is a weighted sum of function values. However, the weights are different. Again, multiple evaluations of the function can be avoided by using a weighted sum in a spreadsheet. Weights for 6 intervals are 1, 4, 2, 4, 2, 4, 1. The sum of areas is ...
[tex]\dfrac{10}{3}\sum\limits_{n=0}^{2}{\left(\dfrac{f(p[2n])+4f(p[2n+1])+f(p[2n+2])}{6}\right)}[/tex]
integral ≈ 14.577542
A farmer is enclosing a rectangular area for a pigpen. He wants the length of the pen to be 20 ft longer than the width. The farmer can use no more than 100 ft of fencing. What is the pen’s greatest possible length? Let w represent the width of the pen. What expression represents the length?
Answer:
Width is 15, length is 35.We can check our answer by multiplying the length by 2 and the width by two in order for the perimeter to be equal to 200.15 times 2 is 30 and 35 times two equals 70.70+30=100 so our solution satisfies our problem.
Step-by-step explanation:
Let the width be x.Then the length should be x+20.The farmer can’t use more than 100 ft of fencing and by mentioning enclosing a rectangle area for a pigpen, we can tell that 100 is the perimeter.So 2(x+20) + 2(x)=100.2x+ 40 + 2x=100.4x+40=100.4x=60.X is 15 which is the width so then the length is 35.
Find the missing side and round the answer to the nearest tenth. Thanks.
Answer:
22.2
Step-by-step explanation:
The missing side is x
cos19° = 21/x switch x and cos19° x = 21/cos 19°x = 22.21≈ 22.2
A 1-inch rise for a 16-inch run makes it easier for the wheelchair rider to ascend a ramp. How long must a ramp be to easily accommodate a 24-inch rise to the door?
Answer: The ramp must be 32 feet long. In inches, 384.
Step-by-step explanation:
For each 16 inches of run, there is one inch of rise. To get 24 inches of rise, multiply 16 by 24 to get 384 inches. To convert to a more useful measurement, convert to feet. 12 inches per foot. 384/12 = 32
Measurement is the process of assigning numbers to physical quantities and phenomena.
If a 1-inch rise for a 16-inch run makes it easier for the wheelchair rider, this can be expressed as:
1inch rise = 16-inch run
In order to determine how long must a ramp be to easily accommodate a 24-inch rise to the door, we can write:
24in rise = x
Divide both expressions:
[tex]\dfrac{1}{24}=\dfrac{16}{x}\\[/tex]
Cross multiply:
[tex]x=16 \times 24\\x=384inches[/tex]
Hence the ramp must be 384inches long in order to easily accommodate a 24-inch rise to the door.
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The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname If more than one surname begins with a letter besides A and O, how may surnames begin with that letter?
Step-by-step explanation:
40children - 23 (with A, O) = 17left
26 letter in alphabet- ( A, O) = 24 letter left
24 letters left - 14 (not used for 1st letters) = 10
10 letters left to use/ 17 children left
10÷17 = 0.5882352941 x 10 =5.8 or as close to 6 I can get
There are six surnames that start with each letter other than A and O when more than one surname does.
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
Given, The surnames of 40 children in a class are arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A.
Since, 14, of the letters of the alphabet do not appear as the first letter of a surname
14 of the letters of the alphabet do not appear as the first letter of the surname
∴ the no. of letters that appeared = 26-14 = 12 alphabets
15 surnames begin with 10 letters beside O and A
∴ 6 surnames begin with a letter
Therefore, If more than one surname begins with a letter besides A and O, 6 surnames begin with that letter.
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Immediately after filling my gas tank, I drove 237.1 miles to my favorite campground. I filled my tank again at the campground, and computed that I got 28.7 miles per gallon on the trip. How many gallons of gas did I use on the trip to the campground
Answer:
57,838.4 - 57,491.9 = 346.5 miles
346.5/17.5 = 19.8 miles per gallon.
Hope this helps :-)
Step-by-step explanation:
The triangle ABC formed by AB = 13cm, BC=5cm and
AC = 12cm is
Answer:
Right-angle triangle
Step-by-step explanation:
Two similar biscuit tins hold the same type of biscuits. The net mass of biscuits in the smaller tin is 1 kg. Find the net mass of biscuits in the larger tin. Net mass of biscuits in larger tin = __?_ kg
Answer:
1.5 kg
Step-by-step explanation:
Assuming it scales linearly: the higher tin holds 9/6 as many biscuits, so:
9/6 · 1 kg = 1.5 kg
If a carton contains 6 eggs, how many eggs are there in 13 cartons? would it be 6x13?? which is equal to 78 I'm not sure.
Answer:
78 eggs
Step-by-step explanation:
13 × 6 = 78 eggs
Hope this helps! :)
Answer:
Yes it would be 6x13=78
Step-by-step explanation:
cross multiplication and divide:
1 cartoon = 6 eggs
13 cartoons = x
1. The graph of yf(x) is translated 3 units right and 4 units down. What is the equation of the translation
image in terms of the function ?
A. Y-3 = f(x+4)
B. y + 4 = f(x-3)
C. y + 3 = f(x-4)
D. y - 4 = f(x + 3)
Answer:
D.y-4=f(x+3)
Step-by-step explanation:
The correct translation would be y-4 because the y-coordinate moves down 4 units and f(x+3) because the x-coordinate would move 3 spaces to the right.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
The equation of the translation image of the function is y - 4 = f(x + 3).
which is the correct answer would be an option (D).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
To determine the graph of y (x) is translated as 3 units right and 4 units down.
The x-coordinate will increase by 3 if we move it to the right.
If we shift it downward, it will become negative and read as y - 4.
So y - 4 = f(x + 3)
Therefore, the equation of the translation image of the function is y - 4 = f(x + 3).
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A box is filled with 3 yellow cards , 4 green cards. A card is chosen at random from the box. What is the probability that the card is not green?
Answer:
3/7
Step-by-step explanation:
total cards 3+4 = 7
Not green = 7-4 = 3 cards
P ( not green )= not green cards / total = 3/7
Answer:
3/7.
Step-by-step explanation:
There are seven cards in total, four of them being green.
The knowledge of the color of the other cards aren't really nessesary, so you can just subtract four from seven, which is three.
Hope this helped!
Olivia is thinking of a number.She says, "My number is odd. It is a factor of 30 and a multiple of 3"
Answer:
15
Step-by-step explanation:
Factors of 30:
1 , 2, 3, 5, 6, 10, 15, 30
Multiples of 3:
3, 6, 9, 12, 15, etc.
The first number (and only number) shared by both sets is 15, therefore 15 is your answer.
~
Answer:
Your answer would be 15
Step-by-step explanation:
It would be 15 because you can multiply it by 30, it goes into 3 evenly and 15 is an odd number