Use the given values of n and p to find the minimum usual value u - 20 and the maximum usual value u + 20. Round your answer to the nearest hundredth unless otherwise noted. n = 108 p = 0.24
Answers
The minimum usual value, μ-2σ is 17.8 and the maximum usual value, μ+2σ is 54.04
How to find the minimum and maximum usual values?From the information, n = 108, p = 0.24
minimum usual value μ-2σ
maximum usual value μ+2σ
Find the mean, μ:
μ = np = 108 × 0.24 = 35.92
Find the variance, n(1-p):
n(1-p) = 108 ×( 1-0.24) = 82.08
Find the standard deviation, σ:
σ = √82.08 = 9.06
minimum usual value, μ-2σ:
μ-2σ = 35.92 - (2×9.06) = 17.8
maximum usual value, μ+2σ:
μ+2σ = 35.92 + (2×9.06) = 54.04
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Related Questions
Solve the inequality for x
5 3/2 x 2 1/3
Answers
Answer:
A
Step-by-step explanation:
5 - \(\frac{3}{2}\) x ≥ \(\frac{1}{3}\)
multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
30 - 9x ≥ 2 ( subtract 30 from both sides )
- 9x ≥ - 28
divide both sides by - 9 , reversing the symbol as a result of dividing by a negative quantity.
x ≤ \(\frac{28}{9}\)
Name the image of P(9,1.5) after being translated along the vector <3, -0.5>
Answers
Answer:
The coordinates would be (12,1)
Step-by-step explanation:
V = 4/3.73
Solve for r
Answers
Answer:
V=4/3πr³
but V is given = 4/3.73
4/3.73 = 4/3πr³
4×3πr³=4×3.73
12πr³=14.92
12πr³÷12π=14.92÷12π
r³=0.3957..
³√r³ = ³√0.3957
r= 0.7341..
How much pure acid should be mixed with 3 gallons of a 20% solution in order to get a 40% acid solution?
I know how to set up the problem but I just can't seem to get the right answer. I know the formula is:
x+%1(gallons)=%2(x+gallons)
Help Please!
Answers
One gallon of pure acid must be added to get a 40% acid solution.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
Given that
3 gallons of a 40% acid solution means you have (20%)×(3) = 0.6 gallons of acid already.
Let x of gallons of pure acid be added to get a 40% acid solution.
⇒ (0.6 +x)/(3+x) = 40%
⇒ (0.6 +x)/(3+x) = 4/10
Cross multiply, we get
⇒ 10(0.6+x) = 4(3+x)
⇒ 6 + 10x = 12 + 4x
⇒ 10x - 4x = 12 - 6
⇒ 6x = 6
⇒ x = 1
Therefore, one gallon of pure acid must be added to get a 40% acid solution.
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Keisha buys candy that costs $8 per pound. She will spend less than 56$ on candy. What are the possible numbers of pounds she will buy? Use p for the number of pounds Keisha will buy. Write your answer as an inequality solved for p. please
Answers
The possible numbers of pounds Keisha will buy are p < 7, where p represents the number of pounds. In interval notation, it can be written as (0, 7).
Let p be the number of pounds Keisha will buy. Since the candy costs $8 per pound, the total cost will be 8p dollars.
According to the given information, Keisha will spend less than $56 on candy. We can express this as an inequality:
8p < 56
To solve for p, we divide both sides of the inequality by 8:
p < 7
Therefore, the possible numbers of pounds Keisha will buy are any value of p that is less than 7. In interval notation, this can be written as (0, 7).
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Frank bought 20 pounds of sugar for $10. How many pounds of sugar did he get per dollar?
Answers
Answer:
$2
Step-by-step explanation:
20lb divided by $10.
20 divided by 10 is 2
Can someone please help meee
Answers
Answer:
20
Step-by-step explanation:
Because this angle is 90 and we have 70
Solve for x. Please look at the picture and answer it. Thank you
Answers
ANSWER x=8
(-3x) – (-5) = (-2) + (-2x)
=
Draw a picture.
Explain the step.
Write the equation.
Answers
Answer:
Easy to solve.
X=7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
the ratio of dogs to cats at the pet store is 1:2 there are 15 dogs how many cats are there
Answers
Answer:
30 cats
Step-by-step explanation:
When their are 15 dog there will be 30 cats
I will give you Brainiest if you are right.
Answers
Answer:
F. 4d + h + 2f
Step-by-step explanation:
have a good day!
Answer:
F. 4d + h + 2f
Step-by-step explanation:
There are 4 drinks (4d)
2 Fries (2f)
And 1 Hamburger (h)
The equation of the line is y=_. The slope indicates that the temperature decreases by 3.5 F for each 1000 foot increase in altitude
Answers
The slope of the function is m = -3.5, which indicates that the temperature decreases by 3.5 degrees for each 1000 feet increase in elevation.
The temperature at Sea level is 87 °F
What is the slope of a function?The slope of a straight line function is the ratio of the rise to the run of the function.
Parts of the question that appear missing includes; The slope and the temperature at Sea level is required.
A point on the table of the graph is that at 4 feet, the temperature is 73 °F
The rate at which the the temperature changes = -3.5 °F per 1,000 feet
The slope of the equation is therefore;
y - 73 = -3.5·(x - 4)
y = -3.5·x + 14 + 73 = -3.5·x + 87
y = -3.5·x + 87
The equation of the the line of the temperature above Sea level is an equation of a straight line, which is of the form; y = m·x + c
Where;
m = The slope of the function
By comparison, the slope of the equation of the line the function is; m = -3.5
The temperature at Sea level, which is the y-intercept is found at the point where x = 0, which gives;
y = -3.5 × 0 + 87 = 87
The temperature at Sea level is 87 °F
The slope of line of the graph of the function, m = -3.5
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wat factor of 26 is between 4 and 26
Answers
Answer:
13
Step-by-step explanation:
cos 13 x 2 = 26
13 is a factor that is more than 4 and less then 26
The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.
Explanation:In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.
To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.
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(HURRY PLEASE!!) First, a graph of f(x) = -x + 3 is drawn. Then, three graphs of k(-x + 3) are drawn, for k = -1, -2, -3. Which will be true of these three graphs? A. Their slopes will be the same as the slope of f(x), and their x-intercepts will be the same as the x-intercept of f(x). B. Their slopes will be the same as the slope of f(x), and their x-intercepts will be different from the x-intercept of f(x). C. Their slopes will be different from the slope of f(x), and their x-intercepts will be the same as the x-intercept of f(x). D. Their slopes will be different from the slope of f(x), and their x-intercepts will be different from the x-intercept of f(x).
Answers
The true statement about the graphs:
Their slopes will be different from the slope of f(x), and their x-intercepts will be the same as the x-intercept of f(x).
The correct answer is an option (C)
First we draw a graph of function f(x) = -x + 3.
Find the graph in attached figure.
the x-intercept of f(x) is:
0 = -x + 3
i.e., x-intercept = (3, 0)
Then, three graphs of k(-x + 3) are drawn, for k = -1, -2, -3.
Let g(x) = -1(-x + 3)
The x-intercept of g(x) would be,
0 = -1(-x + 3)
i.e., x-intercept = (3, 0)
Let h(x) = -2(-x + 3)
The x-intercept of h(x) would be,
0 = -2(-x + 3)
2x = 6
i.e., x-intercept = (3, 0)
Let t(x) = -3(-x + 3)
The x-intercept of t(x) would be,
0 = -3(-x + 3)
3x = 9
i.e., x-intercept = (3, 0)
the graph of functions g(x), h(x) and t(x) is shown below.
We can observe that the x-intercept is same for all graphs but the slopes are different.
Therefore, the correct answer is an option (C)
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-5x - -4x - 10 = ?
Please Help Me!
Answers
Answer:
Today: Monday, 12 October 2020
Hour: 23.39 WIB (in Indonesia)
_________________________
-5x - - 4x - 10
-5x + 4x - 10
-x - 10
Five less than twice the sum of a number n and twelve
Answers
Marianna finds an annuity that pays 8% annual interest, compounded quarterly. She invests in this annuity and contributes $10,000 each quarter for 6 years. How much money will be in her annuity after 6 years? Enter your answer rounded to the nearest hundred dollars.
Answers
Answer:
Marianna will have $19,700 in her annuity after 6 years.
Step-by-step explanation:
To find the amount of money in the annuity after 6 years, we need to calculate the compound interest earned over that time period.
First, let's find the interest rate per quarter: 8% annual interest divided by 4 quarters per year = 2% interest per quarter.
Next, we'll calculate the number of quarters that the money is invested: 6 years x 4 quarters per year = 24 quarters.
Now we can use the formula for compound interest to find the total amount of money in the annuity after 6 years:
A = P * (1 + r/n)^(nt)
Where:
A = final amount
P = initial investment ($10,000 in this case)
r = interest rate per quarter (2% or 0.02)
n = number of times the interest is compounded in a year (4)
t = number of years invested (6)
Plugging in the values:
A = $10,000 * (1 + 0.02)^(24)
A = $10,000 * 1.96634438
A = $19,663.44
Rounding to the nearest hundred dollars: $19,700
So, Marianna will have $19,700 in her annuity after 6 years.
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
(8x100) + (7x1) + (9x1/100) + (2x1/1000)
Answers
Answer: the answer is 807.092
Step-by-step explanation:
(8x100)= 800
(7x1)= 7
(9x1/100)= 9/100
(2x1/1000)=1/500
800+7+9/100+1/500= \(807\frac{23}{250}\)
North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Answers
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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2.5% of x is = 17
what is x??
Answers
Answer: 680
Step-by-step explanation:
Can anyone help me find the correct angle for ZWP?
Answers
Answer:
56 degrees
Step-by-step explanation:
Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).
You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)
Pls answer this I’m begging you I will give a brainless if you answer correctly and professionally
Answers
Answer:
answer big no l
x=-6
y=10
Step-by-step explanation:
answer of 4
x 30
Answer:
Step-by-step explanation:
1) 5x + 4 + 3x - 8 = 180 ( co - interior angles )
8x - 4 = 180
8x = 184
x = 184 / 8
x = 23°
y = 3x - 8 ( vertically opposite angles )
y = 3 × 23 - 8
= 69 - 8
= 61°
4) 5 x + 7 = 2x + 97 ( vertically opposite angles )
5x - 2x = 97 - 7
3x = 90
x = 90 / 3
x = 30°
Hope this helps
plz mark as brainliest!!!!!
write 464000 in correct scientific notation
Answers
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
Answers
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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Which of the following tables represents a linear function? x −4 −1 0 1 2 y −4 2 −4 0 2 x 1 1 1 1 1 y −3 −2 −1 0 1 x −6 −1 0 2 3 y −7 negative sixteen thirds −5 negative thirteen thirds −4 x −2 −1 0 2 4 y −4 negative two thirds −1 two thirds 1 Question 5(Multiple Choice Worth 5 points) (Experimental Probability MC) A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks? one fifth 10 25 35 Question 6(Multiple Choice Worth 5 points) (Identifying Functions LC) The graph represents a relation where x represents the independent variable and y represents the dependent variable. a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma negative 1, at 0 comma 2, at 1 comma 3, and at 5 comma 1 Is the relation a function? Explain. No, because for each input there is not exactly one output. No, because for each output there is not exactly one input. Yes, because for each input there is exactly one output. Yes, because for each output there is exactly one input. Question 7(Multiple Choice Worth 5 points) (Line of Fit MC) A movie theater wanted to determine the average rate that their diet soda is purchased. An employee gathered data on the amount of diet soda remaining in the machine, y, for several hours after the machine is filled, x. The following scatter plot and line of fit was created to display the data. scatter plot titled soda machine with the x axis labeled time in hours and the y axis labeled amount of diet soda in fluid ounces, with points at 1 comma 30, 1 comma 40, 2 comma 34, 3 comma 24, 3 comma 30, 4 comma 18, 5 comma 15, 5 comma 24, 6 comma 4, 6 comma 20, 7 comma 10, and 8 comma 0, with a line passing through the coordinates 3 comma 26.7 and 7 comma 7.66 Find the y-intercept of the line of fit an
Answers
The y-intercept of the line of fit is approximately 43.94 fluid ounces.
What is Probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
The answer is 35. If the theoretical probability of drawing two yellow socks is one fifth, then the experimental probability of drawing two yellow socks in one trial with replacement is also one fifth. Therefore, out of 175 trials, the number of times he will select two yellow socks can be predicted by multiplying the number of trials by the experimental probability: 175 * (1/5) = 35.
No, because for each input there is not exactly one output. The relation is not a function because for the input x = -5, there are two possible outputs: y = 1 and y = -1. Therefore, the relation violates the vertical line test, which requires that every vertical line intersects the graph at most once for the relation to be a function.
The y-intercept of the line of fit is approximately 43.94 fluid ounces. To find the y-intercept, we can look at the point where the line of fit intersects the y-axis (i.e., when x = 0). From the equation of the line of fit, we can see that the y-coordinate when x = 0 is approximately 43.94, which represents the initial amount of diet soda in the machine before it starts to be purchased.
Therefore, The y-intercept of the line of fit is approximately 43.94 fluid ounces.
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Find the magnitude and direction of the vector using the given information. V=<6,7>
Answers
Answer:
The magnitude of the vector is 9.165 and it's direction is 40.6°
Step-by-step explanation:
Vector Quantities:A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.
Magnitude of vector v is given by
|v| = √6²+7²
= √36+49
= √84
= 9.165
Direction of vector v is obtained by:
\( \tan( \theta) = \frac{x}{y} \)
\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)
\(\theta = {40.6°}\)
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The table represents the function f(x):
When f(x) =-3, what is x?
Answers
Answer: -1
Step-by-step explanation: It's asking for x when it is f(x) = -3, so you simply scan/look down the column to find -3 and then look to the left to see your answer, -1. You look to the left because it is the x column and the question is asking for x.
What is the slope of this please help as quick as possible :)
Answers
Answer:
-.5 or -1/2
Step-by-step explanation:
rise over run
you rise 2 and run left 4
the slope is negative
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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