help, I’m terrible with percentages
Bob has a 1% chance of getting a prize from a cereal box, while the other prizes have a 99% chance for him to get. How many cereal boxes does Bob have to buy in order to get the prize? Show your work.
I’m pretty sure you’re supposed to find out something like “one in a million chance!” 
Answer:
99 boxes im sure
What is the absolute value of -8.35
Answer:
8.35
Step-by-step explanation:
To get absolute value, just make it the opposite
Answer: |-8.35| = 8.35
Step-by-step explanation: |-8.35| = 8.35
What’s the answer ????
                                                Answer:
2 1/2
Step-by-step explanation:
5/8 divided by 1/4 is 2 1/2
A SINGLE CARD IS DRAWN AT RANDOM FROM A STANDARD DECK OF 52 CARDS. FIND THE PROBABILITY OF DRAWING THE FOLLOWING CARDS. PLEASE REDUCE TO LOWEST TERMS.
A) A DIAMOND OR A 5 __________
B) A HEART AND A JACK __________
C) A JACK OR AN 8 __________
D) A HEART OR A SPADE __________
E) A RED AND FACE CARD __________
F) A RED CARD OR A QUEEN __
The required probabilities are:
A) P(D or 5) = 4/13
B) P(H and J) = 1/13
C) P(J or 8) = 2/13
D) P(H or S) = 1/2
E) P(R and F) = 3/26
F) P(R or Q) = 7/13
What is probability?The ratio of favorable outcomes to the total outcomes of an event is said to be its probability.
P(E) = n(E)/n(S)
Calculation:It is given that a single card is drawn at random from a standard deck of 52 cards.
So, the sample space consists of 52 cards in total
From those,
4 suits: Hearts, Clubs, Spades, Diamonds
Each of the suit has 13 cards: { Ace, 2,3,4,5,6,7,8,9,10, Jack, Queen, King}
There are 26 Red cards and 26 Black cards.
A) The probability of drawing a diamond or a 5:
P(D or 5) = P(D) + P(5) - P(D and 5)
= 13/52 + 4/52 - 1/52
= 16/52 = 4/13
B) The probability of drawing a heart and a jack:
P(H and J) = P(H) × P(J) (Since they are independent events)
= 13/52 × 4/13
= 1/13
C) The probability of drawing a jack or 8:
P(J or 8) = P(J) + P(8) - P(J and 8)
= 4/52 + 4/52 - 0
= 2/13
D) The probability of drawing a heart or a spade:
P(H or S) = P(H) + P(S) - P(H and S)
= 13/52 + 13/52 - 0
= 26/52 = 1/2
E) The probability of drawing a red and face card:
P(R and F) = P(R) × P(F) (Since they are independent)
= 26/52 × 12/52
= 1/2 × 3/13
= 3/26
(There are three face cards- jack, king, and queen: each of 4)
F) The probability of drawing a red card or a queen:
P(R or Q) = P(R) + P(Q) -P(R and Q)
= 26/52 + 4/52 - 2/52
= 28/52 = 7/13
Thus, the required probabilities are calculated.
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Gia has 60 meters of fence. She wants to
mark off a square area in the yard for her
dog. What will be the side length of the
square if she uses all of the fence?
The side length will be
meters.
Answer:
15
Step-by-step explanation:
A square has 4 sides, so you can do 60 divided by 4 to find how many meters on each side.
60 / 4 = 15 meters for the side length
The side length of the square yard is 15 m.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is side².
We have,
The total length of the fence = 60 meters.
The square yard will have the same length on all four sides.
This means,
The side length of the square yard.
= 60/4
= 15
Thus,
The side length is 15 m.
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1953+1038please answer ............
Answer:
2991
Step-by-step explanation:
Reggie records the lengths of different fabrics he has.
                                                Reggie is left with \(\dfrac{27}{8}\) yarns of fabric.
The total length of fabrics = \(\dfrac{1}{8}+\dfrac{1}{4}+3\dfrac{1}{2}+2\dfrac{5}{8}+4\dfrac{3}{4}\)
= \(\dfrac{1}{8}+\dfrac{1}{4}+\dfrac{7}{2}+\dfrac{21}{8}+\dfrac{19}{4}\)
The LCM of 4 and 8 is 8.
So, the expressions will be simplified by adding all the terms with the same denominator.
= \(\dfrac{49}{8}\)
The fabric used by Reggie = \(2\dfrac{3}{4}\)
= \(\dfrac{11}{4}\)
The fabric left can be calculated by subtracting the total fabric he used from the total fabric he had.
Fabric left =\(\dfrac{49}{8} - \dfrac{11}{4}\)
The LCM of 8 and 4 is 8
Fabric left = \(\dfrac{49}{8} - \dfrac{22}{8}\)
= \(\dfrac{27}{8}\)
So, he is left with \(\dfrac{27}{8}\) yarns of fabric.
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Suppose 1 - |x| ≤ f(x) ≤ cos(x) for all values of x. Which of the following MUST be true? Select all correct answer choices. a. lim x→0 f(x)exists. b. lim x→0 f(x) = 1 c. f(0) = 1 d. lim x→1 f(x) = 0
Suppose 1 - |x| ≤ f(x) ≤ cos(x) for all values of x. Since the function f(x) is defined for all values of x, the limit at x = 0 must exist. Therefore, statements a and c are true.
To determine whether b and c are true, we need to consider the bounds on f(x):
1 - |x| ≤ f(x) ≤ cos(x)
When x = 0, the bounds become:
1 - |0| = 1 ≤ f(0) ≤ cos(0) = 1
So f(0) must be equal to 1, and statement c is true:
c. f(0) = 1
However, statement b is not necessarily true. The limit of f(x) as x approaches 0 is equal to the value that f(x) approaches as x gets arbitrarily close to 0, but it does not have to be equal to the value of f(0).
To determine whether d is true, we need to consider the limit of f(x) as x approaches 1. To do this, we will use the bounds on f(x):
1 - |x| ≤ f(x) ≤ cos(x)
As x approaches 1 from the left, the lower bound approaches 0, and as x approaches 1 from the right, the upper bound approaches cos(1).
Since 0 ≤ f(x) ≤ cos(1) for all values of x near 1, it is possible that the limit of f(x) as x approaches 1 is any value between 0 and cos(1). Therefore, statement d is not necessarily true:
d. lim x→1 f(x) = 0
The correct answer choices are:
a. lim x→0 f(x) exists.
c. f(0) = 1
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If you share seven apples equally with three people, there are 2 1/3 first complete the sentence then briefly explain what a whole number to the denominator of three and the numerator one mean in this problem
The meaning is that "If you share seven apples equally with three people, there are 2 1/3 apples for each person."
How to explain the fraction with a denominator of 3In this context, a "whole number to the denominator of three and the numerator one" refers to the fact that when the seven apples are divided equally among the three people, each person receives a whole number of apples, plus a fraction.
The denominator of the fraction is three because there are three people sharing the apples,
Tthe numerator of the fraction is one because each person receives one of the three equal parts.
The fraction 1/3 represents the amount of the seventh apple that each person receives. So, each person receives 2 whole apples and 1/3 of another apple, for a total of 2 1/3 apples.
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Could you please help me solve this question?
                                                
                                                            Please help!!!!!!!!!!!!!!!
                                                Answer:
-141 is the answer.
Let f(x) = - 13x + 12 and g(x)= x² + 2.--Find f(3)/g(3).f(3)/g(3) = (?)(Type an integer or a simplified fraction.)
We have the next two equations:
\(f(x)=-13x+12\)And
\(g(x)=x^2+2\)We need to find f(3)/g(3)
First, let's find f(3):
\(f(3)\text{ = -13(3)+12 = -27}\)Then g(3):
\(g(3)=(3)^2+2\text{ = 11}\)Now, the equation f(3)/g(3) :
\(\frac{f(3)}{g(3)}=\frac{-27}{11}\)-27/11 is the result.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A business owner wants to have the front window of his store painted and is considering two artists for the job. John has quoted a flat rate of $88 for the job. Zachary's quote is $5 per hour, plus $78 to cover the cost of materials. Depending on how long it takes Zachary to paint the window, these two could end up charging the same amount. How long would Zachary have to take? How much would it cost?
If the job takes Zachary hours, the cost would be $ with either artist.
1. ALUMMUNI PLC. Produces three models of tractors: Metakeb, Mewesson, Metekem Each unit of Metakeb, Mewesson and Metekem requires the following amounts of time in minumtes in each of the indicated departments.
Machining dep't
Inspection dep't
(in minutes)
(in minutes)
(in minutes)
Metakeb
1200
2400
600
Mewesson
1800
1200
3000
Metekem
3000
Assembly dep't
2400
1200
Suppose the total time available per month in machining, assembly and inspection departments are 1050, 1160 and 830 hours respectively.
Required:
Determine the number of units of each product to be produced in a month to use up all the available resources (use Gaussaian method)
The company should produce 235 units of Metakeb, 96 units of Mewesson, and 17 units of Metekem per month to use up all the available resources.
What is the Gaussian method?
The Gaussian method, also known as Gaussian elimination or row reduction, is a technique for solving systems of linear equations. It involves performing a sequence of operations on the rows of a matrix to transform it into an equivalent matrix that is in row echelon form or reduced row echelon form.
To use the Gaussian method, we need to set up a system of linear equations based on the given information. Let x, y, and z be the number of units of Metakeb, Mewesson, and Metekem produced per month, respectively. Then we have:
Machining department: 1200x + 1800y + 3000z = 1050(60)
Inspection department: 2400x + 1200y = 1160(60)
Assembly department: 600x + 3000y = 830(60)
Simplifying these equations, we get:
Machining department: 20x + 30y + 50z = 3150
Inspection department: 8x + 4y = 232
Assembly department: x + 5y = 139
Now we can use the Gaussian method to solve for x, y, and z:
Step 1: Write the augmented matrix:
| 20 30 50 | 3150 |
| 8 4 0 | 232 |
| 1 5 0 | 139 |
Step 2: Use row operations to get the matrix in row echelon form:
R2 → R2 - 4/5 R3
R1 → R1 - 20R3
| 0 -2 50 | 850 |
| 0 2 -4 | -28 |
| 1 5 0 | 139 |
R2→ -1/2 R2
R1 → R1 + R2
| 0 1 -25 | 407 |
| 0 1 -2 | 14 |
| 1 5 0 | 139 |
R1→ R1 - R2
| 0 0 -23 | 393 |
| 0 1 -2 | 14 |
| 1 5 0 | 139 |
R3→ R3 - 5R2
| 0 0 -23 | 393 |
| 0 1 -2 | 14 |
| 1 0 10 | 65 |
R1→ -1/23 R1
| 0 0 1 | -17 |
| 0 1 -2 | 14 |
| 1 0 10 | 65 |
R2 → R2 + 2R3
| 0 0 1 | -17 |
| 0 1 0 | 96 |
| 1 0 10 | 65 |
R3 → R3 - 10R1
| 0 0 1 | -17 |
| 0 1 0 | 96 |
| 1 0 0 | 235 |
Step 3: Read off the solution from the row echelon form:
z = -17
y = 96
x = 235
Therefore, the company should produce 235 units of Metakeb, 96 units of Mewesson, and 17 units of Metekem per month to use up all the available resources.
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. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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Using differential calculus, maximize the volume of a box made of cardboard (top is open) as shown in Figure A. 15, subject to the following constraints. 1. Allowable area of the cardboard is equal to 40 in^2. 2. The length of the box L is equal to its width W.
The maximum volume of the box is 40√(10/27) cu in.
Here we see that volume is to be maximized
The surface area of the box is 40 sq in
Since the top lid is open, the surface area will be
lb + 2lh + 2bh = 40
Now, the length is equal to the breadth.
Let them be x in
Hence,
x² + 2xh + 2xh = 40
or, 4xh = 40 - x²
or, h = 10/x - x/4
Let f(x) = volume of the box
= lbh
Hence,
f(x) = x²(10/x - x/4)
= 10x - x³/4
differentiating with respect to x and equating it to 0 gives us
f'(x) = 10 - 3x²/4 = 0
or, 3x²/4 = 10
or, x² = 40/3
Hence x will be equal to 2√(10/3)
Now to check whether this value of x will give us the max volume, we will find
f"(2√(10/3))
f"(x) = -3x/2
hence,
f"(2√(10/3)) = -3√(10/3)
Since the above value is negative, volume is maximum for x = 2√(10/3)
Hence volume
= 10 X 2√(10/3) - [2√(10/3)]³/4
= 2√(10/3) [10 - 10/3]
= 2√(10/3) X 20/3
= 40√(10/27) cu in
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Complete Question
(Image Attached)
                                                            Find the area of the figure. (Sides meet at right angles.)
2 ft
2 ft
5 ft
   ft
8 ft
Bft
4 ft
8 ft
                                                Answer:
44ft
Step-by-step explanation:
To find the answer, you need to first break down your shape. We can see that the 2 sides are identical so we can just multiply the area of on eof the sides by 2. The 2 sides equal 20 in all. Now lets look at the last section. To find an unknown side, we need to subract the 2 known sides. 8-5=3. 3x8=24
24+20=44
Hope this helps.
Answer:
44 ft²Step-by-step explanation:
A1 = 2(5 x 2) = 20
A2 = 8 x 3 = 24
total = 20 + 24
= 44 ft²
                                                            John order sneakers online. He ordered 2 pairs of Nikes at $50 each and 4 pairs of Yeezy's at $100 each. He also paid a shipping fee of $20. Write an expression to represent the total amount he paid. (Just write the expression do not solve)
Answer:
2(50) + 4(100) + 20 = total
Step-by-step explanation:
8. What is the slope of the line?
A. 0
B. 1
C. Infinity
D. Undefined
                                                Answer:
0.
Step-by-step explanation:
The slope of the line is defined as the change of elevation of the line (\(\frac{rise}{run}\)).
In this case, there is no change in the slope as the line continues across (0 , 2), meaning that the slope of the line is 0.
If the slope of the line is 1, then the line will have (rise 1/run 1), meaning that it will have a linear slope. (See attached image).
Vertical lines have infinite slope, and so can also be called undefined as it moves neither left or right, giving it no run.
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                                                            The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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8 Graph the equation y = –20x + 500.
                                                Answer:
Step-by-step explanation:
you have to plot the y-intercept first so since we know that the y-intercept is 500 from the y=mx+b format, you have to plug in (0,500). Then, we use the slope or the m provided in the equation with is -20. This means you have to go down 20, and right 1 since it is -20/1 or 20 down and 1 run. then you just connect the dots to finish your line.
                                                            The National Park Service is interested in comparing the amount of money that visitors in two different national parks spend. They sample visitors on the same day in each of the two parks and then compare the mean dollar amounts spent from each sample. Analysis for these data will be based on a _______ design.Please type the correct answer in the following input field, and then select the submit answer button or press the enter key when finished.Your answer:
Answer:
Analysis for these data will be based on a __survey__ design.
Step-by-step explanation:
A survey design is a process through which surveys are conducted to acquire enough insight about a given situation or matter of interest. In this case, the National Park Service's interest is finding out the amount of money that visitors in the two different national parks spend. Visitors are sampled from each park to get the required information. The mean spends are calculated and then compared.
Tom needs to clean 50 square ft of carpet. One bottle of will clean 1 1/2 square ft of carpet. how many bottles will he need
Total is 50 sq ft.
one bottle will clear 1 1/2, sqft .
Let x be the number of bottles needed to clean 50 sqft.
So taking the proportion,
\(\begin{gathered} \frac{1}{1\frac{1}{2}}=\frac{x}{50} \\ \frac{1}{\frac{3}{2}}=\frac{x}{50} \\ 50=\frac{3}{2}x \\ x=\frac{2\times50}{3}=33.33 \end{gathered}\)Therefore the number of bottles needed is 34
What is 0.2105 rounded to the nearest hundredth
Answer:
Step-by-step explanation: 0.21
Answer:
Step-by-step explanation: 0 is the ones place 2 would be the tenths and 1 the hundreths when rounding you use the fact of if the number following is 5 or more you round up 4 or less it stays the same so the answer is 0.21Can anyone help me with this question please!???!??
                                                Answer:
initial population : 89
after 9 years : 676
Step-by-step explanation:
no need for panic. this is just plain calculator mechanics. yes, we need to do some more complicated typing and use e, but it is still only typing.
the initial population is P(0). or t = 0.
simply when there were 0 years since the fish were added.
that is simple.
we get (as -0.42×0 = 0)
800 / (1 + 8e⁰) = 800 / (1+8×1) = 800 / 9 ≈ 89
now, after 9 years we have to calculate P(9). or t=9.
let's pre-calculate : -0.42×9 = -3.78
e to the power of -3.78 = 0.022822691...
8 times this is 0.182581531...
and plus 1 is 1.182581531...
800 / 1.182581531... = 676.486127 ≈ 676
16) Solve for side AB.
AB-
Round your answer to the nearest hundredth.
A) 5.45
B) 6.45
C) 7.45
                                                Answer:
AB= 7.45
Anwer C)
Step-by-step explanation:
Cos (angle) = Nearest side / Huypothenuse
Cos(20) = 7 / AB
Cos(20) * AB = (7 /AB) * AB
Cos (20) * AB = 7
(Cos(20) *AB) / Cos(20) = 7 / Cos(20)
AB = 7 / cos(20)
AB= 7.45
Can someone please help no links and if you can explain thank you so much 
                                                Answer:
detail attached
Step-by-step explanation:
I think it asks you to match the corresponding base and height
                                                            On the SAT exam a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator. A guidance counselor would like to know if the students in his school are prepared to complete this portion of the exam in the timeframe allotted. To investigate, the counselor selects a random sample of 35 students and administers this portion of the test. The students are instructed to turn in their test as soon as they have completed the questions. The mean amount of time taken by the students is 23.5 minutes with a standard deviation of 4.8 minutes. The counselor would like to know if the data provide convincing evidence that the true mean amount of time needed for all students of this school to complete this portion of the test is less than 25 minutes and therefore tests the hypotheses H0: μ = 25 versus Ha: μ < 25, where μ = the true mean amount of time needed by students at this school to complete this portion of the exam. The conditions for inference are met. What are the appropriate test statistic and P-value?
The P-value is between 0.025 and 0.05. and t = -1.85
On the SAT exam a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator.
Therefore tests the hypotheses:
\(H_0\) : μ = 25 versus Ha: μ < 25,
where μ = the true mean amount of time needed by students at this school to complete this portion of the exam.
The alternative hypothesis is:
\(H_1:\mu < 25\)
The test statistic is given by:
\(t=\frac{x-\mu}{\frac{s}{\sqrt{n} } }\)
The parameters are:
'x' is the sample mean. \(\mu\) is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.the values of the parameters are:
x = 23.5 , \(\mu=25\) , s = 4.8, n = 35
Plug all the values in above formula of t- statistic is:
\(t = \frac{23.5-25}{\frac{4.8}{\sqrt{35} } }\)
t = -1.85
Using a t-distribution , with a left-tailed test, as we are testing if the mean is less than a value and 35 - 1 = 34 df, the p-value is of 0.0365.
t = –1.85; the P-value is between 0.025 and 0.05.
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calculate the following 2+2
Answer:4
Step-by-step explanation:
2+2 is 4
HELP FAST PLZ!!!!!!  (07.01)
What is the value of x in the equation 8 + x = 37
O -5
O 5
O 11
O 24
Answer:
x = 29
Step-by-step explanation:
8 + x = 37
Subtract 8 from each side
8-8 + x = 37-8
x = 29