Approximately 8% of students at a local high school participate in after-school sports all four years of high school. A group of 60 seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of high school. What is the standard deviation of the number of students? Round to 1 decimal place. Standard deviation = 0.P. n.p. (where q = 1-P)
Answers
Ths standard deviation is
\(\text{std = }\sqrt[]{60\times0.08\times0.94}=\text{ 2.1}\)Related Questions
The perimeter of a rectangular field is 316 yards. If the length of the field is 84 yards, what is its width?
yards
$
? 2
a
Answers
Answer:
74
Step-by-step explanation:
84+84=168
316-168=148
148/2=74
Consider the diagram below.
Answers
Answer:
<a = 61
<b + <c = 90
Two turtles, Velma and Justine, were entered into a race.
The equation y = 4x represents Velma's distance in meters, y, after racing for x minutes. The graph below displays Justine's distance and time.
Based on the equation and graph, which two statements below are true?
A.Justine is twice as fast as Velma.
B. Justine is half as fast as Velma.
C. Justine and Velma have the same speed.
D. Justine moves a greater distance than Velma each minute.
E. Justine moves a shorter distance than Velma each minute.
Answers
Answer:
B and E
Step-by-step explanation:
the graph (Justine) shows the line
y = 2x
the line for Velma is
y = 4x
now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).
a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).
as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.
so, as per her slope, Velma moves 4 meters in 1 minute.
and Justine moves 2 meters in 1 meter.
so, Justine is half as fast as Velma.
and therefore, Justine moves a shorter distance than Velma each minute.
Answer:
Step-by-step explanation:
B and E
en Vision Algebra 2
1-1 Reteach to Build Understanding
Key Features of Functions
Linear, quadratic, and absolute-value functions can be graphed using key features
that the equation identifies. Key features can be labeled using either set builder
notation or interval notation. Interval notation represents a set of real numbers by
a pair of values. Parentheses are used when the points are not included. Brackets
are used for when a boundary point is included.
1. Use the function f(x) = x2 – 16 and identify the key features that are listed in
the table for the graph. Label the graph with the key features.
Key Feature
Domain
Range
Minimum Value
Function is Function is
x-intercept
decreasing increasing
10
y-intercept
LEAD) 14.0VA
Function is Positive
-2 O
Function is Negative
TO
Interval Increasing
Domain:
Interval Decreasing
Range:
-20160-16)
Answers
Answer:
Domain : \((-\infty,\infty)\), Range : \((-16,\infty)\), Minimum Value = -16
Function is a quadratic function. x-intercepts are -4 and 4.
The function decreasing before vertex = \((-\infty,0)\)
The function increasing after vertex = \((0,\infty)\)
y-intercept is -16.
Function is Positive : \((-\infty,-4)\cup (4,\infty)\), Function is negative : \((-4,4)\)
Interval Increasing Domain: \((0,\infty)\), Interval Decreasing Range: \((-\infty,-16)\)
Step-by-step explanation:
The given function is
\(f(x)=x^2-16\) ...(1)
It is an upward parabola because coefficient of \(x^2\) is positive.
The vertex form of a parabola is
\(f(x)=a(x-h)^2+k\) ...(2)
where, a is constant and (h,k) is vertex.
From (1) and (2), we get
\(a=1,h=0,k=-16\)
So, vertex of the parabola is (0,-16).
Key features are:
The given function is defined for all values of x. So,
Domain : \((-\infty,\infty)\)
The value of a function which is an upward parabola cannot be less than the y-coordinate of its vertex.
Range : \((-16,\infty)\)
Minimum Value = y-coordinate of vertex = -16
Function is a quadratic function.
For f(x)=0,
\(0=x^2-16\)
\(16=x^2\)
\(x=\pm 4\)
So, x-intercepts are -4 and 4.
The function decreasing before vertex = \((-\infty,0)\)
The function increasing after vertex = \((0,\infty)\)
For x=0,
\(f(0)=(0)^2-16=-16\)
So, y-intercept is -16.
Function is Positive : \((-\infty,-4)\cup (4,\infty)\)
Function is negative : \((-4,4)\)
Interval Increasing Domain: \((0,\infty)\)
Interval Decreasing Range: \((-\infty,-16)\)
What figure is formed by a locus of points
on a plane that are equidistant from a fixed
point?
Answers
Whenever Deven and Laura owe each other money, they "pay" each other using stickers. They've agreed that a Harry Potter sticker is worth 49 dollars and a Twilight sticker is worth 35 dollars. They can even use stickers as "change" if one person overpays the other. For example, if Deven owes Laura 189 dollars, he can give her 6 Harry Potter stickers ($6 \cdot 49 = 294$ dollars), and she can return 3 Twilight stickers ($3 \cdot 35 = 105$ dollars). This trade is like a transfer of $294-105=189$ dollars. What is the smallest positive debt, in dollars, that can be paid off using sticker trading?
Answers
The smallest positive debt that can be paid off using sticker trading is $7$ dollars.
To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.
Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.
The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.
In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.
Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.
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below are statements that can be used to prove that the triangles are similar. On a coordinate plane, right triangles A B C and Z Y X are shown. 1. StartFraction A B Over Z Y EndFraction = StartFraction B C Over Y X EndFraction = 2 2. ∠B and ∠Y are right angles. 3.? 4.? Which two statements are missing in steps 3 and 4? ∠X ≅ ∠C △ABC ~ △ZYX by the SAS similarity theorem. ∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem. StartFraction A C Over X Y EndFraction = 2 △ABC ~ △ZYX by the SSS similarity theorem. StartFraction Z X Over A C EndFraction = 2 △ABC ~ △ZYX by the SSS similarity theorem.
Answers
Answer: Is this a geometry question?
Step-by-step explanation:
Answer: B
Step-by-step explanation: 100 % on test
What is the the length of each chord ?
Answers
Answer:
3
Step-by-step explanation:
What set of numbers do -5 belong to?
Answers
The set of integers is denoted by the symbol Z and is a subset of the set of real numbers.
The set of integers is infinite in both directions, meaning that it extends infinitely both to the left and to the right on the number line.
Each integer is separated from its neighbors by a distance of 1 unit on the number line.
The set of integers is closed under addition, subtraction, and multiplication, which means that if you add, subtract or multiply any two integers, you will always get another integer.
However, division is not always closed under the set of integers, and may result in a fraction or decimal.
The integers are also closed under the operations of negation and absolute value.
The absolute value of an integer is always a non-negative integer.
The set of integers is countably infinite, which means that the integers can be listed in a sequence that includes every integer exactly once.
The set of integers is an important concept in many areas of mathematics, including algebra, number theory, and analysis.
The integers are used to represent quantities that can be counted, such as the number of apples in a basket or the number of students in a classroom.
Negative integers are used to represent quantities that have a direction opposite to that of positive integers.
The concept of integers is also used in computer science, where integers are used to represent data and perform calculations.
The set of integers is also used in many real-life situations, such as calculating distances between two points, measuring changes in temperature, or counting money.
The set of integers can be represented using set-builder notation, which uses braces to enclose the elements of the set and a vertical bar to separate the elements from the condition that defines them.
For example, the set of integers less than or equal to 5 can be represented as {…, -3, -2, -1, 0, 1, 2, 3, 4, 5}.
The set of integers can also be represented using interval notation, which uses brackets or parentheses to indicate whether the endpoints are included or excluded.
For example, the set of integers less than or equal to 5 can be represented as (-∞, 5].
The set of integers is an important concept for understanding more advanced mathematical concepts such as rational numbers, which are fractions that can be
Your weather app says there's a 30% chance of rain that day. You know that if it rains, the probability that the bus runs late is 40%. If it doesn't rain, the probability that the bus runs late is only 15%. Use proper notation to state the probabilities. (a) What is the probability that it will rain and the bus will be late? (b) What is the probability that the bus will be late? (c) Given that the bus ran late, what was the probability that it was not raining?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
P(rain) = p(R) = 30% = 0.3
P(being late Given that it rains) = P(late | rain) = p(L|R) = 0.4
P(being late Given no rain) = P(late | no rain) = 0.15
(a) What is the probability that it will rain and the bus will be late? = P(RAINnLate) = P(RnL)
P(RnL) = p(R) * p(L|R)
P(RnL) = 0.3 * 0.4
= 0.12
(b) What is the probability that the bus will be late?
P(L) = p(R) * p(L|R) + p(no rain) * p(late | no rain)
P(L) = (0.3 * 0.4) + (1 - 0.3)*(0.15)
P(L) = 0.12 + 0.105
P(L) = 0.225
(c) Given that the bus ran late, what was the probability that it was not raining?
Given that bus ran late, the probability that it was not raining = p(no rain | Late)
p(no rain | Late) = 1 - p(R | L)
Recall :
P(RnL) = p(L) * p(R|L)
0.12 = 0.225 * p(R|L)
p(R|L) = 0.12 / 0.225
p(R|L) = 0.5333
p(no rain | Late) = 1 - 0.533
= 0.46666
= 0.467
help please. I appreciate your help.
Answers
Answer:
Step-by-step explanation:
take x degree as reference angle
using tan rule
tan x=opposite/adjacent
tan x=45/35
tan x=1.285
x=\(tan^{-1}\)1.285
x=52.10 degree
x=52.1 degree
Find two square numbers that total 45
Answers
x^2+^2=45
if ×=3 and y=6
then 9+36=45
choose the mixed number that has not been reduced to simplest form.
7 14/18
4 2/5
5 7/12
5 5/6
Answers
Cakculate the Length of line x
Answers
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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please help me with this thanks
Answers
Answer:
agidls
Step-by-step explanation:
Answer:
Step-by-step explanation:
2y = 4x - 12
Find the x and the y intercept of the line.
Answers
0 = 4x - 12
Adding 12 to both sides:
12 = 4x
Dividing both sides by 4:
3 = x
For Y:
2y = 4(0) - 12
2y = -12
Dividing both sides by 2:
y = -6
Therefore, the y-intercept of the line is y = -6.
can u pls help me with this question
Answers
Answer:
The ratio of grapes to blueberries is 3:5 , but the ratio of blueberries to grape is 5:3.
The ratio of blueberries to strawberries is 5:2 , while the ratio of grapes total pieces of fruit is 3 to 10
The ratio of blueberries to the remaining piece of fruit is 1/1
Step-by-step explanation:
Answer:
Step-by-step explanation:
first will be grapes to blueberries because 12/20 (divide both by 4)= 3/5
the second block will be 5/3
third block will be Strawberries because 20/8 (divide both by 4) = 5/2
fourth block will be grapes because the total is 40 and 15/40(divide both by 4) = 3/10
fifth block will be 1/1 because 20/20 =1/1
(3.0x10^-1)-(1.4x10^-3)
Answers
Answer:
.2986
Step-by-step explanation:
( .3 ) - ( . 0014 ) = .2986
Answer:
here u go
Step-by-step explanation:
0.2986x
The size of the largest angle in a triangle is 3 times the size
of the smallest angle.
The third angle is 10° more than the smallest angle.
Work out the size, in degrees, of each angle in the triangle.
You must show your working (let x be the smallest angle).
Answers
Answer:
34˚, 102˚, 44˚
Step-by-step explanation:
Smallest angle=x
Largest angle= 3x
Third angle= x+10
180=x+(x+10)+3x
180=5x+10
170=5x
x=170/5=34
x=34
3x= 3×34=102
x+10=34+10=44
34, 102, 44
Let the smallest angle be X
We are given, X + 3X + X+10 = 180
X +3X + X+10 = 180
5X + 10 =180
5X= 170
X = 34
We got the smallest angle as 34 degrees
The largest angle is 3X which will be 3 × 34 = 102 degrees
the third angle will be 34 + 10 = 44 degrees
To see whether the answer is correct, add the three angles and they should give me the sum of 180.
44 + 34 + 102 = 180
Thus, the answer.
Question 6 of 10
62
A
59°
59
Triangle A
Triangle B
Given the triangles above, what is the measure, in degrees, of angler?
Answers
pls help!! person with correct answer will be marked brainliest
Answers
Answer:
X= 14
The acute angle measures 34 degrees.
The obtuse angle measures 146 degrees.
Step-by-step explanation:
To solve this question, start by solving for x. In order to solve for x, know that angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle. A supplementary angle is an angle in which the sum of two angles equal 180 degrees.
Since angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle, we know that the sum of the two angles equal 180 degrees. To find x, write an equation that sets angle (10x+6) degrees and angle (3x-8) degrees equal to 180 degrees. The equation will look like (10x+6) + (3x-8) =180. To start solving the equation, combine like terms, which will look like 13x-2=180. Next, add 2 to both sides, and the equation will look like 13x = 182. Then, divide both sides by 13, and x will equal 14.
Since the x is now known, the actual degrees of the angles can be found. To find the actual degrees of both angles, start by plugging 14 into each angle equation.
For 10x+6, plug 14 into x, and the equation will look like 10(14)+6. Next, simplify the equation, and the answer will be 146 degrees. The 146 degrees is the obtuse angle because an obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
For 3x-8, plug 14 into x, and the equation will look like 3(14)-8. Next, simplify the equation, and the answer will be 34 degrees.The 34 degrees is the acute angle because acute angles measure less than 90 degrees.
To check if the angles are correct, add both angles, and the answer will equal 180 degrees, which then makes them supplementary angles.
Please help me!!! I'm being timed right now do please help me!!!
Answers
Answer:
The answer would be 2. Which means that your answer would be option 1 I believe.
Step-by-step explanation:
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
x > 25
Step-by-step explanation:
x+25> 50
Subtract 25 from each side
x+25-25 >50-25
x > 25
Answer:
x>25
Step-by-step explanation:
x+25>50
1. Subtract 25 from both sides of the equation
x+25>50
-25 -25
x>25
Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
Answers
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
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Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answers
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Tom works in chilled food department in a supermarket all fresh juices should be kept at a certain temperature as shown on thermometer
Answers
The temperature change that is required is; A reduction in temperature by 8°C.
How to find the change in temperature?We are told that;
The freezer should be working at -18°C.
The temperature on the freezer marks -10°C.
Now, what we see here is basic arithmetic because we simply want to find the additional temperature that will make the current reading to be equal to the ideal temperature required for it to wor. Thus, what we will do is to simply subtract the current temperature from the ideal one to find out the temperature required to make it work well.
Thus;
Temperature change = -18 - (-10)
Temperature change = -18 + 10
Temperature change = -8°C.
We see that the freezer still needs its' temperature to be reduced by 8°C.
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Complete question is;
Tom works in the cold food department in a supermarket. The thermometer shows the temperature of one of the freezers. The freezer should be working at -18°C. The temperature on the freezer marks -10 The temperature should increase or decrease by how many °C?
drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.
Answers
the cubed root of 729 is 9
the square root of 100 is 10
the cubed root of 216 is 6
the square root of 64 is 8
and the cubed root of 343 is 7
This should be right
it snowed 20 inches in 10 days in Montreal. Find the unit rate.
Answers
the expression is
\(\frac{20}{10}\)We must divide each value by the value of the denominator to obtain the unit ratio
so
\(\frac{\frac{20}{10}}{\frac{10}{10}}=\frac{2}{1}=2\)the unit ratio is 2 inches per day
Determine the following probabilities. Enter your final answers as reduced fractions.
A single digit between
0
and
9
is randomly chosen, and a single letter from A to Z is randomly chosen.
Find the probability that the number is
6
and the letter is a consonant.
Answers
The probability that the number is 6 and the letter is a consonant is 3/40.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
The probability of choosing the number 6 is 1/10, since there are 10 possible digits to choose from (0 to 9) and each is equally likely to be chosen.
The probability of choosing a consonant from the alphabet depends on the definition of "consonant". If we define consonants as all the letters in the alphabet except for A, E, I, O, and U (i.e., the vowels), then there are 21 consonants in the alphabet.
The total number of letters in the alphabet is 26, so the probability of choosing a consonant is 21/26
To find the probability that the number is 6 and the letter is a consonant, we need to multiply the probabilities of these events occurring independently:
P(number is 6 and letter is a consonant) = P(number is 6) * P(letter is a consonant)
= (1/10) * (21/26)
= 21/260
= 3/40
Therefore, the probability that the number is 6 and the letter is a consonant is 3/40.
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need help with 1 and 2
Answers
The conversion of the units gives:
NUMBER 1: 75 mi/hr = 36.957 m/s
NUMBER 2: 5d = 432000 seconds
How to convert miles per hour to meters per second?Unit conversion is the process of converting a quantity expressed in one unit of measurement to another unit of measurement. For example, converting a distance measured in meters to feet, or converting a weight measured in kilograms to pounds.
NUMBER 1
1 mile = 5820 feet, 1 feet = 0.3048 meter.
1 hour = 60 minutes = 60 * 60 seconds = 3600 seconds
To convert 75 mi/hr to m/s, we have:
75 mi/hr = (75 * 5820 * 0.3048)m / (60 * 60)s = 36.957 m/s
NUMBER 2
Since we have 24 hours in a day, 60 minutes in 1 hour and 60 seconds in a minute. Thus, 5 days can be written as:
5d = 5 * 24 * 60 * 60 = 432000 seconds
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