The expected number of defective calculators produced that day is 48.
What is the expected number of defective?When a product doesn't meet the quality objective or results in a non-compliant situation, it is considered to be faulty. Based on the total observed items as well as the defective products, you may determine the defective rate. To compute the defect rate on your own, use the following formula. Divide the total number of faulty items by the total number of observed products using the formula. To find the defect rate %, multiply the result by 100.
r = (p / o) × 100
r being the defect rate
P stands for defective goods, and O for all observed goods.
O = P*r = 1600 * 3% = 48
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a statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 58.0 minutes. find the probability that a given class period runs between and minutes.
The probability that a given class period runs between 50.5 and 51 minutes is 0.05
Understanding that a uniform probability distribution is essentially a rectangle with a surface area of one will help you to find the simplest solution to this problem.
Find a section of this rectangle's area now.
Her classes are uniformly distributed between 48.0 and 58.0 minutes so,
We have to find the probability that a given class period runs between 50.5 and 51 minutes
51−50.5-/58-48
=0.5/10
=0.05
1 X0.05=0.05
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The full question:
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 58.0 minutes. Find the probability that a given class period runs between 50.5 and 51 minutes.
Why is the addition method of solving a system with two variables also called the elimination method?
Using the Addition Method to Solve Two-Variable Equation Systems The addition approach, often known as the elimination method, is a third strategy for resolving linear equation systems.
What is meant by the elimination method?
The elimination approach involves removing one of the variables from the system of linear equations by adding or subtracting, as well as multiplying or dividing the variable coefficients.
What is the process of elimination's formula?
Utilizing the addition property of equality, the elimination approach is used to solve systems of linear equations. Both sides of an equation can be increased by the same amount.
The first equation can be solved by adding x + y to the left side and 8 to the right side if your system is x - 6 = 6 and x + y = 8.
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what is the answer to this equation 6a- b
Which statement could describe the returns from a bond?
Answer:
A bond is a debt security, meaning that it represents a loan made by an investor to a borrower (typically a corporation or government). The bond issuer promises to pay interest to the bondholder, usually at regular intervals, and to repay the principal when the bond matures.
So, a statement that could describe the returns from a bond is:
"Bonds typically provide a steady stream of income in the form of interest payments, but the return on investment is generally lower than that of stocks."
Another statement that could describe the returns from a bond is:
"Bonds are considered to be a relatively safe investment option, but they are not as profitable as stocks in terms of returns."
In general, bonds are considered to be less risky than stocks, but they also typically offer lower returns.
Answer: B
Step-by-step explanation:
Please help! percentage rates
12. The fire department hopes to raise $30,000 to repair a fire house. So far the department has raised $1,750.00. What percent is this of their goal?
14. A TV is advertised on sale. It is 35% off and has a new price of $195. What was the pre-sale price?
16. Store A and Store B both sell bikes, and both buy bikes from the same supplier at the same prices. Store A has a 40% mark-up for their prices, while store B has a 90% mark-up. Store B has a permanent sale and will always sell at 60% off those prices. Which store offers the better deal?
the percent of cash the Fire branch raised is 5.833 and the pre-sale rate of the TV is $300.
What is percentage?A price or ratio that can be said as a fragment of one hundred is called a percent in mathematics. If we want to compute a percent of a number, we need to divide it with the aid of using its complete after which multiply it with the aid of using one hundred. The percentage consequently refers to an issue in keeping with a hundred. Per one hundred is what the time period percentage signifies. The letter "%" stands for it.
Given, The fire department hopes to raise $30,000 to repair a firehouse. So far the department has raised $1,750.00
From the general formula of Percentage, we have to divide the value by the total value and then multiply the resultant by 100.
Percentage = (1750/30,000) * 100 = 5.833%
Also given, A TV is advertised for sale. It is 35% off and has a new price of $195.
Price of TV before Sale = (195 / 65) * 100
Price of TV before Sale = 300$
Therefore, the percentage of money the Fire department raised is 5.833 and the pre-sale price of the TV is $300.
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1/7 x 3/5 what is the Answer !!!!!!
Answer:
3/35 or 0.0857
Answer:
3/35
Step-by-step explanation:
Multiplying fractions
1/7 x 3/5
Multiply the numerators.
1*3 = 3
Multiply the denominators.
7*5 = 35
Put the numerator over the denominator.
3/35
A _______________ is a smaller part of a whole number
A fraction is a smaller part of a whole number.
What is a whole number?A whole number is defined as the number that is natural and it includes numbers such as 0, 1,2,3,4,5,6,7,8,9, 10. This means that is doesn't contain numbers that has decimal points or fractions such as. 1.5 or 1½ respectively.
A fraction is defined as the part of a whole value such as 1/4 which is 25% of 1. This means that it is the smaller part of a whole number.
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Is this parabola a function?
Yes, a parabola is always a function, specifically a quadratic function.
To determine if a parabola is a function, you will need to check if it passes the vertical line test.
To do this, draw a vertical line through any point on the parabola and see if it intersects the parabola more than once. If it does, then the parabola is not a function. If it only intersects the parabola once, then the parabola is a function. To graph a parabola, you will need to find five points that make up the curve in order to get a better approximation of the general shape. This can be done by using the equation of the parabola in the form y = ax2 + bx + c . First, calculate the x-intercepts by setting y = 0 and solving for x. Then, calculate the y-intercept by setting x = 0 and solving for y. Finally, calculate two more points by solving for x when y is equal to a positive and negative value. Once the five points have been identified, plot them on a graph and draw a smooth curve through them.Learn more about parabola function:
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For what values of x:
Is the trinomial x2−11x+31 equal to 1?
Are the values of the polynomials x2−5x−3 and 2x−5 equal?
Is the binomial 7x+1 equal to the trinomial 3x2−2x+1?
Is the trinomial −2x2+5x+6 equal to the binomial 4x2+5x?
a) The values of x for which trinomial x² −11x + 31 equal to 1 are (11 ± 3i)/2.
b) The values of x for which the polynomials x² − 5x− 3 and 2x − 5 are equal are (7 ± √41)/2.
c) The values of x for which the binomial 7x+1 equal to the trinomial 3x² - 2x + 1 are
x = 0, 1/3.
d) The values of x for which the trinomial −2x² + 5x + 6 equal to the binomial 4x² + 5x are ± √3.
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves arithmetic options and non-negative integer exponentiation of variables.
Monomial : is the algebraic expressions with one term or like terms, so “Mono”mial. For example, 2x + 5x + 12x = 19x is a monomial.Binomial: is the algebraic expressions with two like terms, so “Bi”nomial. For example, 2x + 7x² is a monomial.Trinomial: is the algebraic expressions with three like terms, so “Tri”nomial. For example, x + 5x² + 10x³ is a monomial.Now, see the problem, we have to determine the value of x in each case.
a) The trinomial x² - 11x + 31 equal to 1
=> x² - 11x + 31 = 1
Using the quadratic formula,
=> x = ( -(-11)± √121 - 124)/2
=> x = ( 11 ± √-3 )/2 = (11 ± 3i)/2
So, required value of x is (11 ± 3i)/2.
b) The values of the polynomials x² − 5x− 3 and 2x − 5 equal.
=> x² − 5x− 3 = 2x − 5
=>x²− 5x− 3 - 2x + 5 = 0
=> x² - 7x + 2 = 0
=> x = (-(-7) ± √49 - 8)/2
=> x = (7 ± √41)/2
c) The binomial 7x+1 equal to the trinomial 3x² - 2x + 1
=> 7x + 1 = 3x² - 2x + 1
=> 3x² - 2x + 1 - 7x - 1 = 0
=> 3x² - 9x = 0
=> x( 3x - 9 ) = 0
=> x = 0, 1/3
d) The trinomial −2x² + 5x + 6 equal to the binomial 4x² + 5x.
=> 2x² + 5x + 6 = 4x² + 5x
=> 2x² + 5x + 6 - 4x² - 5x = 0
=> - 2x² + 6 = 0
=> 2x² -6 = 0
=> x² = 6/2 = 3
=> x = ± √3
Hence, the required values of x are ±√3.
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HELP I NEED HELP HELP
Step-by-step explanation:
5. .....................................................
What is the frequency of the sinusoidal graph?
Answer:
equal to 1
Step-by-step explanation:
I believe this is the answer. Also I see that ur new. Well welcome to Brainly.
What is the value of Z in the diagram below?
Answer:
Step-by-step explanation:180+59 then half the anwser
The radius of a quarter circle is 4 feet. What is the quarter circle's perimeter?
r=4 ft. help
The perimeter of the quarter circle is 6.28ft
What is the perimeter of a circle ?The perimeter of a circle is called as the circumference of the circle. The circumference is the external body of a circle.
The perimeter of a circle = 2πr
where r is the radius of the circle.
The perimeter of a quarter circle will be 1/4 ×2πr
= 1/2πr
the radius of a quarter circle is still thesame as the radius of a complete circle.
Therefore the perimeter of the quarter circle = 1/2πr
= 1/2 ×3.14 × 4
= 6.28ft
Therefore the radius of the perimeter of the quarter circle is 6.28ft
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In a recent basketball game, the Grizzlies lost by II points
The Palominos beat them with a score of 92 points. How
many points did the Grizzlies score?
What is the unknown number?
Equation:
n =
Answer:
81
Step-by-step explanation:
n = 92 - 11
Therefore,
n = 81
Evaluate
7
2
÷
2
4
⋅
4
6
Answer:
Step-by-step explanation:
so do 72÷24= 3 then do x 46= 138
when the product of 10 and 15 is divided by the sum of 10 and 15, what is the quotient?
Answer:
The answer would be 6
Step-by-step explanation:
first multiply 10*15=150 then 10+15=25 150 divided by 150 is 6
WILL GIVE BRAINLIST!!
In the figure, mGE = 97 and mHF = 43. Since GPEQ is a parallelogram, opposite angles are congruent. Therefore, m<GPE = m<EQG = mGE = 97.
m<GPEQ = 97
Last year, 7 people each paid $4,433 for an insurance package. How much did the people pay in total?
Answer:
$31,031
Step-by-step explanation:
Since 7 people each pay $4,433 which means that you would have to do 7 x 4433 which equals 31031. So the answer is $31,031.
Trevon works at Macy's Furniture store in the willowbrook mall. He earns $11.35 per hour selling furniture. If his last paycheck was $261.05, how many hours did trevon work
Answer: The answer is 23 hours
Step-by-step explanation: The question tells you that Trevon earns 11.35 dollars per hour and that his total paycheck is 261.05 dollars. To find the answer you must divide what he earns per hour (11.35) from his total paycheck (261.05).
After doing the division you will find that he worked for 23 hours
The rectangle shown has a perimeter of 104 cm and the given area. Its length is 8
more than three times its width. Write and solve a system of equations to find the
dimensions of the rectangle.
Therefore , the solution is l=3 w + 8 is the formula to solve for the dimensions of a rectangle.
Rectangle: What is it?
In Euclidean plane geometry, a rectangle is a square with four right angles. You may also refer to it as a quadrilateral that seems to be equiangular, meaning that each of its angles is equal. Another possibility for the parallelogram is a straight angle. Four of the sides of a square are of identical length. Four 90 ° vertices and equal equal sides make up a rectangle-shaped quadrilateral.
Here,
Given that the rectangle's perimeter is 104 cm
W = the rectangle's width
rectangle's length is equal to 3 w + 8.
Rectangle perimeter equals 2 (length + width).
= >104 =2(3 w + 8 + w)
= >104 =2(4 w + 8)
= >104 =8 w + 16
= >8 w = 104- 16
= >8w = 88
= >w = 11
hence the rectangle's length is equal to 3 w plus 8.
= >3 * 11 + 8
=> 33 + 8
=> 41
Consequently, l=3 w + 8 is the formula to solve for the dimensions of a rectangle.
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find the area of shaded regions below. give your answer as a completely simplified exact values in terms of pi
The area of the shaded region in the figure in terms of pi is
81 - 20.25π m²How to find the area of the shaded portionThe shaded portion is a portion of a squared which has two semi circles of diameter equal to the side of the square.
The area of the two semi circle will be subtracted from the area of the square to give the area of the shaded region
Area of a square is solved by the formula
= length * width
= 9 * 9 = 81 m²
Area of the two semi circle
= 0.5πr² * 2
= πr²
and r = 9/2 = 4.5
= 20.25π m²
area of shaded portion
= 81 - 20.25π m²
The area of the shaded region in terms of pi is (81 - 20.25π) m²
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i need help again please and thank you :)
Answer:
25
Step-by-step explanation:
5x - 5 + 2x + 10 = 180
7x + 5 = 180
7x = 175
x =25
Answer: the answer to this question is X = 25
The degree for 5x - 5 = 5(25) - 5 = 120 degrees (we are putting 25 in for x to get the sum of the degree)
The degree for 2x+10 = 2(25)+10 = 60 degrees (we are putting 25 in for x to get the sum of the degree)
Let's walk through the steps:
Step 1: Simplify both sides of the equation.
5x−5+2x+10=180
5x+−5+2x+10=180
(5x+2x)+(−5+10)=180 (Combine Like Terms)
7x+5=180
Step 2: Subtract 5 from both sides.
7x+5−5=180−5
7x=175
Step 3: Divide both sides by 7.
7x/7 = 175/7
x = 25
what is the difference of the rational expressions below? 5/2-3/5
The difference of the rational expressions 5/2-3/5 is 19/10.
Rational Number -Any function that can be expressed mathematically as a rational fraction—an algebraic fraction in which both the numerator and the denominator are polynomials—is referred to as a rational function. The polynomials' coefficients don't have to be rational numbers; they can be found in any field K.
A fraction with polynomials as the numerator, denominator, or both is all that a rational expression is. Any equation with at least one rational expression is said to be rational. If the numerator and denominator of a rational expression do not have any common factors, then the expression is said to be simplified.
Given the expressions is 5/2-3/5
⇒ 25 - 6 / 10
⇒ 19/10
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Find the value of X in the figure.
The angle of 'x' is 87°
Vertically Opposite Angles:
The opposing angles created by the junction of two lines are known as vertical angles or vertically opposite angles. A pair of angles that are vertically opposed to one another is always equal.
Here we have
Two lines are intersected at the point and forms four angles
As we can see that given angles are vertically opposite angles
=> x = 82°
Therefore,
The angle of 'x' is 87°
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what is the best interpretation of the y-intercept in the trend line question
Option D. A student who studies for 0 hours can anticipate receiving a test score of roughly 60.
what is linear equation ?A linear equation is one that satisfies the algebraic formula y=mx+b. The foregoing sentence is sometimes referred to as a "linear equation with two variables" because y and x are variables. Bivariate linear equations are two-variable linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
The value of the y-coordinate when the value of the x-coordinate is equal to zero is known as the y-intercept.
Regarding this issue
The x-coordinate indicates the number of hours spent studying.
The test result is shown by the y-coordinate.
so
For x=0, y=60
It follows
A student with no study time can anticipate to receive a test score of roughly 60.
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It rains an inch and a half in 8 hours. If it rains at the same rate the rest of the day, how much more will it rain? ____inches
(Please explain how you got your answer)
Answer: Yoo
To find out how much more it will rain, we can use the information given to calculate the rate of rain in inches per hour. We know that it rained an inch and a half in 8 hours, so the rate of rain is:
(1.5 inches) / (8 hours) = 0.1875 inches/hour
Now that we know the rate of rain, we can use it to find out how much more it will rain in the rest of the day. We can assume that the rest of the day has 16 hours, so we can use the rate of rain to find out how much more it will rain:
(0.1875 inches/hour) x (16 hours) = 3 inches
So, it will rain 3 inches more the rest of the day.
We can also check this by multiplying the inches per hour (1.5/8) by the number of hours in a day (24) and subtracting the inches of rain fallen (1.5 inches)
(1.5/8)*24-1.5 = 3
This means that it will rain 3 inches more the rest of the day.
Step-by-step explanation:
How long will it take a bus travel 72 km HR to go 36 km?
It will take the bus one hour to travel 36 km at a rate of 72 km per hour.
Calculate the rate of speed: 72 km/hr
Calculate the time it will take to travel 36 km: 36 km/72 km/hr = 0.5 hr
Convert 0.5 hr to minutes: 0.5 hr x 60 min/1 hr = 30 min
Add the time in minutes to the hour: 60 min + 30 min = 90 min
Convert 90 min to hours: 90 min/60 min/hr = 1.5 hr
Round the time to the nearest hour: 1.5 hr = 1 hr
The amount of time it will take a bus to travel 36 km at a rate of 72 km/hr can be calculated by dividing the distance (36 km) by the rate of speed (72 km/hr). This yields 0.5 hr. Since time is measured in minutes, 0.5 hr can be converted to 30 min. Adding the time in minutes (30 min) to the hour (60 min) yields 90 min. This can then be converted to 1.5 hr. To get an answer in hours, the time must be rounded to the nearest hour, which gives 1 hr. Therefore, it should take the bus one hour to travel 36 km at a rate of 72 km/hr.
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Solve for x.
4(2x − 13) = 4 + x
X = [?]
Hey there!
Answer:
After solving for x, our final solution is [tex]x=8[/tex].
__________________________________
Further Explanation:1. Expand [tex]4(2x-13)[/tex].
[tex]8x-52[/tex]
[tex]8x-52=4+x[/tex]
2. Move 52 to the right side.
[tex]8x=x+56[/tex]
3. Move x to the left side.
[tex]7x=56[/tex]
4. Divide both sides by 7.
[tex]\frac{7x}{7} =\frac{56}{7}[/tex]
5. Simplify.
[tex]x=8[/tex]
________________________________________
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on the bus 12/40 of the seats were taken what is the fraction simplest form?
Answer:
Step-by-step explanation:
3/10 you find the GCF of both
What is the measure of an angle if it is 15 degrees less than two times its complement?
The measure of the angle is 65 degrees.
Two angles are said to be complementary if the sum of the angles is 90°. The complementary pairs 1 and 2 are in the following diagram. It is not necessary for two angles to be contiguous to be complimentary. Since 35° + 55° = 90°, the angles in the following diagram are likewise complimentary. View further angles as well.
Let x be the measure of the angle.
The complement of an angle is the angle that, when added to the original angle, equals 90 degrees. Therefore, the complement of the angle is 90 - x.
Given that the angle is 15 degrees less than two times its complement, we can set up the following equation:
x = 2(90 - x) - 15
Solving for x:
x = 2(90 - x) - 15
x + 15 = 180 - 2x
3x = 195
x = 65
Therefore, the measure of the angle is 65 degrees.
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