In this problem 0.7 is the standard deviation of the contents.
Define standard deviation.It is a statistic that gauges a dataset's dispersion from its mean, and it is calculated as the variance's square root. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance. The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean. A dataset's dispersion from its mean is measured by standard deviation. It is determined as the variance's square root. In the financial industry, standard deviation is frequently employed as a gauge of an asset's relative riskiness.
Given,
A random sample of 196 bottles of cologne showed an average content of 4 ounces. it is known that the standard deviation of the contents (i.e., of the population) is 0.7 ounces.
In this problem 0.7 is the standard deviation of the contents.
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There are 15 circles and 6 squares. What is the simplest ratio of squares to total shapes?
Answer:
2/7Step-by-step explanation:
There are 15 circles and 6 squares.
Total shapes:
15 + 6 = 21Ratio of squares to total shapes:
6/21 = 2/7Answer:
the answer is 2:7
Step-by-step explanation:
6÷3 : 21÷3
=2:7
[tex]x^{2}-6x+1=0[/tex]
Solve the quadratic equation using the quadratic formula.
Show exact answers in simplified radical form; no rounded decimals.
The solutions of the quadratic equation using the quadratic formula is x = 3 + 2√2 and x = 3 - 2√2
Solving Quadratic equation using the Quadratic formulaFrom the question, we are to solve the given quadratic equation using the quadratic formula
The given quadratic equation is
x² - 6x + 1 = 0
Using the quadratic formula,
x = [-b±√(b² - 4ac)] / 2a
a = 1, b = -6, and c = 1
Thus,
x = [-(-6) ±√((-6)² - 4(1)(1))] / 2(1)
x = [6 ±√(36 - 4)] / 2
x = [6 ±√(32)] / 2
x = [6 ± 4√2] / 2
x = [2(3 ± 2√2)] / 2
x = 2(3 ± 2√2) / 2
x = (3 ± 2√2)
x = 3 + 2√2 and 3 - 2√2
Hence, the roots are 3 + 2√2 and 3 - 2√2
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Jonshelle is developing a new bread recipe. The relationship between cups of water, w, and cups of flour, f, is a=2/5b. What is the scale factor of flour to
water?
Answer: the i8 49
Step-by-step explanation:98493
a music store buys instruments and then sells them for more than they paid. during a off sale, the store offers a clarinet for . how much did the store pay for the clarinet?
The current price of the clarinet and the various discounts and markups illustrate that the amount the store paid was $90.
How to calculate the price?First find out the selling price of the clarinet:
= Discounted price / ( 1 - discount rate)
= 93.60 / ( 1 - 20%)
= $117
This selling price is 30% more than what the store paid so the price the store paid was:
= Selling price / ( 1 + rate of increase)
= 117 / ( 1 + 30%)
= $90
In conclusion, the amount the store paid was $90.
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Complete question
A music store buys instruments and then sells them for 30% more than they paid. During a 20% off sale, the store offers a clarinet for $93.60.
How much did the store pay for the clarinet?
The price of a gallon of gasoline is $2.25. The price when Ryan's mother started driving was 1/5 of the current price. What was the price of gasoline when Ryan's mother started driving?
The price of gasoline when Ryan's mother started driving is $0. 45
What is a fraction?A fraction can be defined as the part of a whole set, data or element.
The different types of fractions include;
Improper fractionsProper fractionsMixed fractionsSimple fractionsComplex fractionsExample of mixed fractions; 2 1/ 3
Example of simple fractions; 1/ 2
Example of proper fractions; 2/5
From the information given, we have;
Price of a gallon of gasoline is $2. 25
1/ 5 of $2.25
This is represented as;
1/ 5 × $2.25
Multiply the values
$0. 45
Hence, the value is $0. 45
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Which of the
following best describes the
slope of the line below?
• A. Positive
• B. Negative
• C. Zero
• D. Undefined
Answer:
negative
Step-by-step explanation:
If the price of gas was $3.12 on the first day of school and $3.55 on the fifth day, what was the rate of change in the price of gas per day)
it's a easy question I think you can solve it
I need help like asap !!!
only numbers and decimal points
Now we have to,
→ find the required value of b.
Formula we use,
→ (AC)² = (BC)² + (AB)²
Then the value of a will be,
→ (10.5)² = b² + (3)²
→ 110.25 = b² + 9
→ b² = 110.25 - 9
→ b = √101.25
→ [ b = 10.06 in ]
Hence, value of b is 10.06 in.
a variable t follows a uniform probability distribution where t is between 0 and 8 what is the probability that the random variable has a value greater than 5?
There is a 1/3 chance that random variable will have a value higher than 5.
Define the term random variable?A random variable is called with an unknown value or a function that gives values to each of the results of an experiment. Random variables are similarly defined by letters and fall into one of two categories: continuous variables, which can take on any value within a continuous range, or discrete variables, which have specified values.For the variable t, which follows uniform probability distribution.
0 ≤ t ≤ 8
Total variables = 9.
For the probability of value greater than 5 for the random variable.
P(t > 5) = P(t = 6) + P(t = 7) + P(t = 8)
P(t > 5) = 1/9 + 1/9 + 1/9
P(t > 5) = 3/9
P(t > 5) = 1/3
Thus, there is a 1/3 chance that random variable will have a value higher than 5.
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Bacteria colonies can increase by 73% every 2 days. If you start with 55 bacteria microorganisms, how large would the colony be after 10 days?
Answer:
In order to complete the equation we need to use this method :
Future Amount = I(1+r)^t
I=Initial Amount
R=Growth rate
T=Time periods
Now that we know that....
Letsss seee:
You started with 55 so
Future Amount = 55(1+r)^t
The growth rate is 73% so we have to convert to decimal so
Future Amount=55(1+.73)^t
Time period is 73% every 2 days and you want to see how large the colony would be after 10 days so you do 10/2:
Future Amount=55(1+.73)^5
Future Amount therefore equals 852.301407 BUT You have to round to the nearest whole number Sooo
The Answer is 852.Step-by-step explanation:
Hope this helpss you Tony!
Answer:
How large would the colony be after 10 days?
852 is the answer.
Step-by-step explanation:
Use the following diagram for questions 1-3.
1. Find x.
2. Find y
3. Find z
Answer:
x= 40° y= 66° z=106° ....
The value of angles are x = 40° , y = 66°, z = 106°
Since there are two parallel lines and two intersecting lines forming a triangle we will use the properties of lines and triangles to find out the value of x,y,z. First of all y = 66° because of the vertical angle theorem, which means that adjacent angles formed by the intersection of two lines are supplementary or equal to 180° degrees. The third angle of the triangle formed is 74°. Using the sum of all angles of the triangle is equal to 180° we can find the third angle of triangle x which is equal to 40°. Now z can be found using the property sum of two opposite interior angles which will come out to be 106°. Hence by this, we can find all the angles.
I hope this answer helps.
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Translate the sentence into an inequality. The sum of a number times 3 and 23 is greater than 25.
Translation of the given sentence with variable y into inequality is given by 3y + 23 > 25.
As given in the question,
Given sentence is :
Let the number be represented by y.
The sum of y times of 3 and 23 is greater than 25.
Translation of the given sentence into inequality is given by :
y times 3 is represented by 3y
Sum of y times 3 and 23 is given by 3y + 23
Sum is greater than 25
3y + 23 > 25
Simplify the inequality we get,
3y > 25 -23
⇒3y > 2
⇒y > 2/3
Therefore, translation of the given sentence with variable y into inequality is given by 3y + 23 > 25.
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11. Using the equation: y + 2 = 3(x - 1).
a) Identify the slope and y-intercept.
b) Graph the equation.
c) Does the point (0,0) satisfy the equation?
Justify your answer.
For the given equation, the slope is 3 and the y-intercept is -5. From the graph, it is possible to see that the point (0,0) does not satisfy the equation.
Linear Function
An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=x+19. A line equation also can be represented by the point-slope form: [tex](y-y_1)=m(x-x_1)[/tex].
m= the slope.
[tex](x_1,y_1)[/tex]= the coordinate of a point.
For the given example: m=1 and b=19.
The question gives: y + 2 = 3(x - 1). Therefore,
y + 2 = 3(x - 1)
y=3x-3-2
y=3x-5
Letter A - Identify the slope and y-interceptIf y=3x-5 . Here, you have a standard form of a linear equation y=mx+b. Where:
m= the slope. It can be calculated for Δy/Δx.
b= the constant term that represents the y-intercept
Thus, the slope is 3 and the y-intercept is -5.
Letter B - Graph the equation.For this, you should do a table with points
x y= 3x-5
-2 y=3*(-2)-5=-6-5= -11
-1 y=3*(-1)-5=-3-5= -8
0 y=3*(0)-5=0-5= -5
1 y=3*(1)-5=3-5= -2
2 y=3*(2)-5=6-5= 1
Draw a graph from these points, see the attached image.
Letter C - Does the point (0,0) satisfy the equation?The point (0,0) does not satisfy the equation because when x=0 because y is different than zero (0). See below.
y= 3x-5, for x=0
y=3*0-5
y=0-5
y=-5
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Solve for the value of v.
123°
(2v+1)°
Step-by-step explanation:
the angles between 2 intersecting lines must be the same on both sides of either line, they are just left-right mirrored.
so,
123 = 2v + 1
2v = 122
v = 61
How can a negative number be written in scientific notation?
PLS AWNSER
For example, what is ‒0.0026 written in scientific notation?
Does any part of the process change because the number being converted is negative?
Answer:
-2.6 x 10-3
Step-by-step explanation:
if you enter the equation into a calculator it will do it for you. If you want to do it with a calculator heres how to. You would move the decimal to the first whole number for example in this case 2. How many places is that? 3. Whenever a decimal point moves to the right the spot is negative. You would then write it 2.6 with 10 (exponent -3)
Answer:
Step-by-step explanation:
To rewrite in scientific notation means to add an exponent such as e-3 in this case or [tex]10^{x}[/tex] where x is the exponent.
you would convert -0.0026 to -2.6e-3 or [tex]-2.6*10^{-3}[/tex]
The basic way of converting to scientific notation is to move your number a certain amount of decimal places until there is one number left before the decimal mark. Then the amount of values moved turns into you're exponent. A negative exponent means your are going towards a smaller number. Make sure to keep the current sign of the number
Substitution
2x-6y=18
x = 3y + 9
Answer:
x=17/14 y=5/21
(car sales) of the cars sold during the month of july, 90 had air conditioning, 102 had automatic transmission, and 72 had power steering. 7 cars had all three of these extras. 22 cars had none of these extras. 25 cars had only air conditioning, 61 cars had only automatic transmissions, and 33 cars had only power steering. 11 cars had both automatic transmission and power steering. how many cars had exactly two of the given options?
There were 58 cars sold with exactly two of the given options.
1. There were 90 cars sold with air conditioning.
2. There were 102 cars sold with automatic transmission.
3. There were 72 cars sold with power steering.
4. There were 7 cars sold with all three options.
5. There were 22 cars sold with none of the options.
6. There were 25 cars sold with only air conditioning.
7. There were 61 cars sold with only automatic transmission.
8. There were 33 cars sold with only power steering.
9. There were 11 cars sold with both automatic transmission and power steering.
Let's just count the number of cars that have exactly two of the given options:
Air Conditioning & Automatic Transmission: 25
Air Conditioning & Power Steering: 22
Automatic Transmission & Power Steering: 11
So there are 25 + 22 + 11 = 58 cars that have exactly two of the given options.
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A cycle Wheel does 1645 full turns in 7 minutes
work out the number of full turns per minute
The number of full turns per minute is 235.
Given that, a cycle Wheel does 1645 full turns in 7 minutes.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here,
The number of full turns per minute = Number of full turns/Number of minutes
= 1645/7
= 235 full turns per minute
Therefore, the number of full turns per minute is 235.
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Solve for x.
4(2x-17)=4x+(-5)
Step-by-step explanation:
4(2x-17) = 4x+(-5)
Open the bracket
8x - 68 = 4x - 5
Collect like terms
8x - 4x = -5 + 68
2x = 63
x = 63/2
x = 31.5
Lat week, Lia old 20 hand-engraved watch band, earning a total profit of $105. 0. She plan to make 50 engraved watch band to ell at the community art fair. If he ell all 50 watch band, how much profit can Lia expect to earn?
$
If Lisa sells 50 watch bands, she gets a profit of $262.50.
A unitary method is defined.
Mathematicians use the unitary method to solve problems by first determining the value of a single unit, or 1, (by dividing), and then determining the necessary value by multiplying the value of the single unit.
We must first ascertain the cost of one watch band.
To determine this, we simply divide $105 by 20, which equals $5.25.
We can divide $5.25 by 50 because she sells all 50 watchbands.
50 multiplied by $5.25 equals $262.50.
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please help . find abc
The required value of ∠ABC in the given triangle is 50°
Explain the relation between interior and exterior angles?The relation between interior and exterior angles of the triangle are related as, the sum two interior angles of triangle is equal to the opposite exterior angle of that triangle.
As we see in the given question, the sum of angle ∠A and ∠B is equal to the exterior angle which is 145°
According to the question:⇒ 2x° + 95° = 145°
⇒ 2x° = 145° - 95°
⇒ 2x = 50°
Thus, required answer of angle ∠ABC is 50°
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What is the mathematical answer to 5x=3.75
Answer:
x=0.75
Step-by-step explanation:
5x=3.75
/5. /5
x=0.75
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Solve this system of linear equations without graphing: {5x+4y=810x−4y=46[tex]Solve this system of linear equations without graphing: {5x+4y=810x−4y=46[/tex]
The solution of given system of linear equations is x = 3.6 and y = 2.5.
A "system" of equations is a collection of equations that you answer all at once. Ax + By + C = 0, where A and B are the coefficients and C is the constant, can be used to describe a linear equation. Non-linear equations are more difficult to comprehend than linear equations.
Solving the equations,
5x +4y = 8
10x − 4y = 46
Adding the above equations, we get
5x + 10x + 4y - 4y = 8 + 46
15x=54
Dividing by 15,
x = 3.6
Now, putting the value of x in second equation,
10(3.6) - 4y = 46
36 - 4y = 46
4y = -10
Dividing by 4, we get
y = -2.5
Therefore, the solution of given system of linear equations is x = 3.6 and y = 2.5.
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(THIS FOR A TEST. WILL GIVE BRAINLIEST) 5. A banquet hall has two types of tables, rectangular and round. The rectangular tables can fit 8 people sitting around them. The round tables can fit 6 people sitting around them. The hall will be hosting a banquet for 192 people. Assume all tables will have the maximum number of people seated at the table.
a. Write an equation in standard form showing the relationship between the number of rectangular tables, z, and the number of round tables, y, that are needed to seat 192 people.
b. Find the z-intercept and explain its meaning in the context of the problem.
c. Find the y-intercept and explain its meaning in the context of the problem.
Answer:
its A.
Step-by-step explanation:
Given: ABCD trapeziod, AB=DC, BK - altitude, AB=8, AK=4
Find: m
The value of angle A and B are 60° and 120° respectively.
How to calculate the angles?It is important to note that in isosceles trapezoid, the angles adjacent to the bases are congruent.
Therefore A = D
B = C
When in the right angle, the hypothenuse is twice the leg, the angle opposite it will be:
ABK = 30°
Also, KBC = 90°
Therefore, B = 30° + 90° = 120°
A = D = 180° - 120° = 60°
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Complete question:
Given: ABCD trapeziod, AB=DC, BK - altitude, AB=8, AK=4
Find: mA and mB.
on a particular busy section of the garden state parkway in new jersey, police use radar guns to detect speeding drivers. assume the time that elapses between successive speeders is exponentially distributed with the mean of 15 minutes. what is the probability of a waiting time in excess of 25 minutes between successive speeders?
There is an 18.92% chance that there will be a wait of more than 25 minutes between speeders.
Define probability.Information about the possibility that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is utilized in epidemiology to comprehend the connection between exposures and the risk of health outcomes. Probability is the likelihood that something will occur or the probability that something will happen. Probability is the measure of how likely it is that a coin will land heads up after being tossed into the air.
Given,
On a particular busy section of the garden state parkway in new jersey, police use radar guns to detect speeding drivers. assume the time that elapses between successive speeders is exponentially distributed with the mean of 15 minutes.
Either the wait is over 25 minutes or it is less than 25 minutes. Decimal 1 represents the total of these events' probabilities. So,
P( X ≤ 25) + P(X > 25) = 1
For P(X > 25):
1 -P(X ≤ 25)
1 - e ⁻⁰⁶⁶⁶⁽²⁵⁾
0.1892
There is an 18.92% chance that there will be a wait of more than 25 minutes between speeders.
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The altitude y in feet of a hawk that is descending can be represented by the equation y=−20x+350, where x represents the time in minutes. The equation y=−10x+400 represents the altitude y in feet of an eagle after descending x minutes.
Which bird is closer to the ground after 8 minutes?
The
eagle
is closer to the ground.
How much closer?
feet
hurry
The hawk is closer to the ground after 8 minutes
It is 130 feet closer
How to determine the valuesWe have the equation as;
y = −20x+350. This represents the altitude y in feet of a hawky=−10x+400. This represents the altitude y in feet of the eagleAlso, x represents the descending time in minutes
Now, let's substitute the value of x as 8 minutes in the equations
If x = 8
For equation (1)
y = - 20(8) + 350
expand the bracket
y = - 160 + 350
y = 190 feet
For equation (2)
y = -10(8) + 400
expand the bracket
y = -80 + 400
y = 320 feet
The hawk is closer after 8 minutes
The distance from the ground(eagle) - The distance from the ground(hawk)
320 - 190
130 feet
Hence, the hawk is closer to the ground
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F(x)=-2x-3 find f(-1)
Answer:
x = -1
Step-by-step explanation:
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Answer:
-1
Step-by-step explanation:
Replace the variable x with 1 in the expression .
f(1)= 2(1) - 3
Remove the parenthasis
2(1) - 3
Multiply 2 by 1
2 - 3
subtract 2 from 3
-1
A football team lost 5 yards on each of 3 plays. Explain how you could use a number line to find the team's change in field positive after the 3 plays. Then find and interpret the change in position.
The total spots moved, after the 3 plays is 15 spots to the left.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that the football team lost 5 yards on each 3 plays.
Assume that a number line to be able to see how far in the field did they lost in 3 games.
Therefore,
1 : 5 (1 game is to 5 yards)
3 : 15 (3 games is to 15 yards )
After the first play, we would move to the left on the line 5 spots (to simulate 5 yards lost) and then make a dot to show your new position.
The total spots moved, after the 3 plays is 15 spots to the left.
Hence, All they lost 15 yards in 3 games.
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