45 candidates are expected to be rejected.
What is a percentage in math?
percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part. 100 percent represents the entirety and 200 percent specifies twice the given quantity.Here, we want to calculate the number of candidates to be rejected
The number of candidates to be rejected can be calculated from;
100% - (28% + 12%) = 60%
So 60% of the 75 interviewed are to be rejected
Thus, we have
60/100 * 75
= 45
Learn more about percentage
brainly.com/question/14979505
#SPJ4
A coin is flipped twice. What is the probability of getting heads on the first flip and tails on the second flip?
Answer: 0.25 or 25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
a.) 6(x+2) = 5(x-y)
b.) 5(a-2x) = 9(x+1)
make x the subject
a) 6x + 12 = 5x - 5y
6x-5x = -5y-12
x = -5y-12
b) 5a-10x = 9x+9
-10x-9x = 9-5a
-19x = 9-5a
x = 9-5a/-19
need help with number 9 pls
Answer:
i) a = 2, b = - 3, c =-6
Step-by-step explanation:
4x² - 12x + 3
4x² - 6x - 6x + 9 - 6
(2x - 3)(2x - 3) - 6
(2x - 3)² - 6
(2x + (- 3) )² - 6
In form of (ax + b)² - 6
a = 2, b = - 3, c =-6
An industrial machine produces widgets, but it has a 0.12 defective rate. what is the probability that the machine produces fewer than 3 defective widgets in a production run of 75 items?
The probability that the machine produces fewer than 3 defective widgets in a production run of 75 items is 0.041.
What is the probability?A probability refers to the ratio of favorable events to the n number of total events.
Also, it means the chance that a particular event (s) will occur expressed on a linear scale from 0 to 1 which can also be expressed as a percentage between 0 and 100%.
Given data
An industrial machine produces 3 widgets.
It has a 0.12 defective rate.
Defective rate fewer than 3
Total Probability = P of 2 defective + P for 1 defective
Total Probability = 2/74 + 1/73
Total Probability ≈ 0.04072565716
Total Probability ≈ 0.041
Therefore, the required probability for fewer than 3 defective rate is 0.041
Read more about probability
brainly.com/question/14290572
#SPJ1
Please gimme a hand I appreciate it in advance!!!
Answer:
30 degrees
Step-by-step explanation:
They are corresponding angles.
Answer: 30 degrees
Step-by-step explanation:
mangle8 and mangle 4 are corresponding angles meaning the angles are both the same.
what is a constant
for example
[tex]y=x^{3} -3x^{2} +Kx+8[/tex] where K is the constant
what does that mean
Answer:
see explanation
Step-by-step explanation:
K is a constant means that K is a fixed numerical value
Select the correct answer.
Which function does this graph represent?
A downward open parabola rises from (negative 2 point 4, negative 4) to (negative 1, 2) and declines through (0 point 4, negative 4) on the x y coordinate plane.
A.
f(x) = 3(x + 1)2 + 2
B.
f(x) = -3(x + 1)2 + 2
C.
f(x) = -3(x + 1)2 − 2
D.
f(x) = 3(x − 1)2 + 2
The parabola represented by this graph has the following equation:
y = -16.67(x + 1)² + 2
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
A downward open parabola rises from (-2.4, 4) to (-1,2), and declines through (0.4, -4) on the coordinate plane, hence the vertex is given by:
(-1,2), hence the coefficients are h = -1 and k = 2, and the equation is:
y = a(x - h)² + k
y = a(x + 1)² + 2
We have that when x = -0.4, y = -4, hence the leading coefficient is found as follows:
y = a(x + 1)² + 2
-4 = a(-0.4 + 1)² + 2
a = -6/0.6²
a = -16.67
Hence the equation is:
y = -16.67(x + 1)² + 2
More can be learned about the equation of a parabola at https://brainly.com/question/24737967
#SPJ1
f(x)= x³ lf x=-2₁ y =?
If x=-1, y =?
If x= 0, y =?
Answer:
Step-by-step explanation:
if x= -2, f(x)= -8
x= -1, y= -1
x=0, y=0
radians and degrees
180° irc =
[tex]\Large\texttt{Answer}[/tex]
[tex]180^\circ=\pi\:radians}[/tex]
[tex]\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}[/tex]
[tex]\Large\texttt{Process}[/tex]
⇨ For converting from degrees to radians, use this conversion factor:
[tex]\bf{\cfrac{\pi}{180}}[/tex]
⇨ Convert
[tex]\bf{\cfrac{180}{1}\times\cfrac{\pi}{180}}[/tex]
⇨ The 180s cancel out, and we have:
[tex]\pi[/tex]
Hence
[tex]\bf{180^\circ=\pi\:radians}[/tex]
Hope that helped
Rewrite the function by completing the square. f(x) = x2 - 8x + 7
The function f(x) = x2 - 8x + 7 rewritten by completing the square is x² - 8x + 16 = 9.
Rewrite the function by completing the square?Given the function; f(x) = x² - 8x + 7
To rewrite by completing the square.
We simplify the function into a proper form to completing the square.
x² - 8x + 7 = 0
x² - 8x = -7
We create a trinomial square on the left side of the equation that is equal to the square of the half of b.
(b/2)² = (-4)²
Next, we add the term to both side of the equation.
x² - 8x + (-4)² = -7 + (-4)²
x² - 8x + 16 = 9
Therefore, the function f(x) = x2 - 8x + 7 rewritten by completing the square is x² - 8x + 16 = 9.
Learn more about completing the square method here: https://brainly.com/question/12356597
#SPJ1
A ladder is leaning against a building and makes a 28 degree angle with the ground. the top of the ladder reaches up the building. what is the length of the latter
The length of the ladder is 75ft.
What is hypotenuse?The longest side, or hypotenuse, of a right-angled triangle is the side that faces away from the right angle. The Pythagorean theorem asserts that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.
According to the information:The ladder makes an angle of 28° with the ground and the top of the ladder reaches 35ft
Therefore, we have:
Sineα = opposite/hypotenuse
Where:
Opposite = 35
Hypotenuse = Length
α = 28°
substitute values and solve for the length, as following:
Sine(28) = 35/Length
Length = 35/Sine(28)
Length = 75ft
Therefore,
The length of the ladder is 75 ft.
To know more about hypotenuse visit:
https://brainly.com/question/8587612
#SPJ4
A shop is having a 10% off sale. Find the sale price of a cap which normally costs $12?
Answer: $10.8
Step-by-step explanation: To do this, we need to find 90% of $12 because the cap is 10% off. We can do this by multiplying 12 by 0.9. 12 x0.9 = 10.8.
A right triangle has side lengths 4 units, 5 units, and x units. It is unknown if the missing length is the longest or shortest side.
Rounded to the nearest tenth, what is the difference between the possible values of x?
3.0 units
3.4 units
6.4 units
8.0 units
Answer: B
Step-by-step explanation:
Answer:
3.4 units
Step-by-step explanation:
question no.3 ♀️
is 1,2 correct ?
Answer:
YES THEY ARE CORRECT ✅Good luck ✅Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→[infinity] ln(x) x
The limit of [tex]\lim_{x \to \infty} \frac{lnx}{x}[/tex] using L'Hospital rule is 0.
According to the given question.
We have to find the limit of ln(x)/x when x approaches to infinity.
If we let x = ∞, we get an indeterminate form [tex]\frac{\infty}{\infty}[/tex] ie. [tex]\frac{ln(x)}{x} = \frac{\infty}{\infty}[/tex].
And, we know that whenever we get indeterminate form ∞/∞ we apply L'Hospital rule.
Therefore, defferentiating numerator ln(x) and x with respect to x.
[tex]\implies \frac{d(ln(x))}{dx} = \frac{1}{x}[/tex] and [tex]\frac{d(x)}{dx} =1[/tex]
So,
[tex]\lim_{x\to \infty}\frac{\frac{1}{x} }{1}[/tex]
[tex]= \lim_{x \to \infty} \frac{1}{x}[/tex]
As, x tends to ∞, 1/x tends to 0. Because ∞ is very large number and 1 divided by a very large number always approaches to 0 and it is very close to zero.
Therefore,
[tex]\lim_{x \to \infty} \frac{1}{x} = 0[/tex]
Hence, the limit of [tex]\lim_{x \to \infty} \frac{lnx}{x}[/tex] is 0.
Find out more information about limit and L'Hospital rule here:
https://brainly.com/question/14105620
#SPJ4
Nelly works part-time in a shop to
cover her university expenses.
The table below shows how many
hours she worked each day last week.
Hours worked
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
3½
5
2½
4
25
Nelly's weekly pay is worked out
as follows: Monday to Friday
• £8 per hour for the first 15 hours
• £10 per hour for any extra hours
Saturday
.
• double the normal rate of £8 per hour
Work out Nelly's total pay for last week?
You must show all your working.
Using proportions, Nelly's total pay for last week was of £220.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
From Monday to Friday, she worked 17 hours, hence:
For 15 hours, she was paid £8 per hour.For the last 2 hours, she was paid £10 per hour.On Saturday, she worked 5 hours, and was paid £16 per hour.
Hence her total payment is found as follows:
15 x 8 + 2 x 10 + 5 x 16 = £220.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
36) The ratio of Slade's stickers to Corbett's stickers is 5: 2. If Corbett
has 27 fewer stickers than Slade, how many stickers do they have
in all?
Answer: 63 Stickers
Step-by-step explanation:
Given information:
Ratio = Slade : Corbett = 5 : 2
Corbett has 27 fewer stickers
Set variables:
Let x be the number of stickers Corbett has
Let x + 27 be the number of stickers Slade has
Set proportional equation:
[tex]\frac{2}{5}~ =~\frac{x}{x~+~27}[/tex]
Cross multiply the system
[tex]2~(x~+~27)~=~5~*~x[/tex]
Simplify by distributive property
[tex]2~*~x~+~2~*~27~=~5x[/tex]
[tex]2x~+~54~=~5x[/tex]
Subtract 2x on both sides
[tex]2x~+~54~-~2x~=~5x~-~2x[/tex]
[tex]54~=~3x[/tex]
Divide 3 on both sides
[tex]54~/~3~=~3x~/~3[/tex]
[tex]{x=18}[/tex]
Add Corbett's and Slade's amounts together
Corbett = x = 18 stickers
Slade = x + 27 = 18 + 27 = 45 stickers
Total = 18 + 45 = [tex]\Large\boxed{63~Stickers}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
63 stickers
Step-by-step explanation:
Define the variables:
Let x be the number of stickers Slade had.If Corbett has 27 fewer stickers than Slade:Given ratio:
Slade : Corbett = 5 : 2
Substitute the defined variables:
[tex]\implies \sf x : x - 27 = 5 : 2[/tex]
[tex]\implies \sf \dfrac{x}{x-27}=\dfrac{5}{2}[/tex]
Cross multiply:
[tex]\implies \sf 2x=5(x-27)[/tex]
Expand:
[tex]\implies \sf 2x=5x-135[/tex]
Subtract 5x from both sides:
[tex]\implies \sf -3x=-135[/tex]
Multiply both sides by -1:
[tex]\implies \sf 3x=135[/tex]
Divide both sides by 3:
[tex]\implies \sf x=45[/tex]
Therefore, Slade had 45 stickers.
Substitute the found value of x into the expression for the number of stickers Corbett had:
[tex]\implies \sf 45-27=18[/tex]
Therefore, Corbett had 18 stickers.
Total number of stickers = 45 + 18 = 63
If you were to take a cross section of a right circular cone parallel to its base, what shape would you get?
The cross section of a right circular cone parallel to its base is a circle.
What is a three dimensional shape?A three dimensional shape is a shape that has length, width and height. Examples of three dimensional shapes are cone, cylinder, prism and pyramid.
A two dimensional shape is a shape that have both length and width. Examples of two dimensional shape are circle, rectangle, square.
A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top
The cross section of a right circular cone parallel to its base is a circle.
Find out more on three dimensional shape at: https://brainly.com/question/6636176
#SPJ1
Billy graphed the system of linear equations to find an approximate solution.
y = A system of equations. y equals negative StartFraction 7 over 4 EndFraction x plus StartFraction 5 over 2 EndFraction. y equals StartFraction 3 over 4 EndFraction x minus 3.x +
y = x – 3
A coordinate grid with 2 lines. The first line is labeled y equals negative StartFraction 7 over 4 EndFraction x plus StartFraction 5 over 2 EndFraction and passes through the (0, 2.5) and (2.2, negative 1.4). The second line is labeled y equals StartFraction 3 over 4 EndFraction x minus 3 and passes through (0, negative 3, 0.14) and (2.2, negative 1.4)
Which points are possible approximations for this system? Select two options.
The points that are possible approximations for this system are; (2.2, -1.4) and (2.2, -1.35)
How to find the solution of a linear graph?
We are given the equations of the linear graphs as;
y = ⁷/₄x + ⁵/₂
y = ³/₄x - 3
Notice that the lines intersect each other and by definition, if the lines of the system of equations intersect, then the system has one solution. This means that the point of intersection of the lines is the solution of the system. It can be written as:
(x, y)
x is the x-coordinate .
y is the y-coordinate.
In this case, we can identify that:
- the x-coordinate of the point of intersection is between; x = 2 and x = 3
- The y-coordinate of the point of intersection is between y = -1 and y = -2
Based on the above, we can conclude that the points that are possible approximations for this system are; (2.2, -1.4) and (2.2, -1.35)
Read more about Linear Graph Solution at; https://brainly.com/question/14323743
#SPJ1
Answer: B and C) 2.2, -1.4 and 2.2, -1.35
Step-by-step explanation:
Hope this helps!
Mark me brainliest!
Pls and Ty!
find the slope in the line 3-4
Answer:
-0.5, either ⅙ or ⅓
Step-by-step explanation:
slope = rise / run
3) slope = (6 - 7) / (3 - 1)
slope = -1 / 2
slope = -0.5
ur mouse is blocking 4 (I'll do 2 scenarios):
4) slope = (-4 - -5) / (2 - -4)
slope = 1 / 6
I will leave it in fractional form
4) slope = (-4 - -6) / (2 - -4)
slope = 2 / 6
slope = 1/3
slope = 0.33
The grocery store where Ms. Maple works pays her $6.50 per hour. Any time she works more than 40 hours per week, she is paid time and a half for the additional hours. Her weekly pay, w, is found using the following equation, where h is the total number of hours worked.
Answer:
$279.25
Step-by-step explanation:
Multiply 6.50x43
[tex]w = 279.50 + (0.5 \times 6.50) \times (43 - 40)[/tex]
Multiply 0.5x6.50
[tex]w = 279.50 + 3.250 \times (43 - 40)[/tex]
Add 43-40
[tex]w = 279.50 + 3.250 \times 3[/tex]
Multiply 3.250x3
[tex]w = 279.50+ 9.750[/tex]
Solution
8. The cost of renting a scooter is $40 plus $4.50 per hours. Abby wants to spend less than $75
on the scooter rental. Write and solve an inequality to find the number of hours she can rent
the scooter.
Answer:
Step-by-step explanation:
4.5x + 40 < 75
4.5x < 35
x<7.7
Maria wants to take a survey to predict who will win the election for her town’s mayor. Which samples are most likely to be biased? Check all that apply.
The Biased samples that are most likely to be biased are as follows;
The residents of every other house on her street.
The people at the computer store.
At the mall every 100th person from the town’s phone registry.
Every 10th person who walks down the main street in her town.
According to the statement
we have given that the:
Maria wants to take a survey to predict who will win the election for her town’s mayor.
So, For this purpose
Biased sample In epidemiology, a sample of a group that does not equally represent the members of the group.
The above people are selected randomly with no specific characteristics, so it is less likely to be biased.
These people are selected according to specific characteristics; Subscribing to the golf magazine (who tends to be rich and biased in politics).
So, it is more likely to be biased.
The Biased samples that are most likely to be biased are as follows
Learn more about Biased sample In epidemiology here https://brainly.com/question/13171394
#SPJ1
Answer:
A: The residents of every house on her street
B: The subscribers to a golf magazine
C: The people at the computer store at the mall
how many ounces of water must be added 100 oz. of 60% iodine to produce a 55% solution ? round your answer to the nearest hundreth.
Answer:
10 ounces
Step-by-step explanation:
Answer:
9.09 ounces
Step-by-step explanation:
The added water can be calculated by writing an equation for the amount of iodine in the diluted solution.
SetupLet x represent the number of ounces of water added to the 60% solution. The total amount of iodine in the mixture is ...
0.60(100) +0(x) = 0.55(100+x) . . . . . ounces of iodine in the mix
SolutionSimplify the equation:
60 = 55 +0.55x
5 = 0.55x . . . . . . . subtract 55
x = 5/0.55 ≈ 9.09
9.09 ounces of pure water must be added to produce a 55% solution.
In an analysis of variance study, we consider 3 treatments. We have 4 observations for the first treatment, 5 observations for the second treatment, and 6 observations for the third treatment. What are the degrees of freedom associated with SSE
In the analysis of variance study, if we consider 3 treatments, in which we have 4 observations for the first treatment, 5 observations for the second treatment, and 6 observations for the third treatment. Then, the degrees of freedom associated with SSE in each case is 2, 3, and 4, respectively.
Degrees of Freedom Associated with SSE
The number of degrees of freedom in statistics refers to the quantity of values that can fluctuate in a statistic's final calculation. Various amounts of data or information can be used to estimate statistical parameters.
In order to find the degrees of freedom associated with SSE in an Analysis of Variance (ANOVA) study, we subtract 2 from the number of observations. In n is the number of observations, then (n-2) gives the degrees of freedom associated with SSE.
Thus, for the first treatment, n = 4
⇒ Degrees of freedom = 4-2
= 2
For the second treatment, n = 5
⇒ Degrees of freedom = 5-2
= 3
For the third treatment, n = 6
⇒ Degrees of freedom = 6-2
= 4
Learn more about degrees of freedom here:
https://brainly.com/question/14222862
#SPJ1
How do you find the maximum or minimum value of a quadratic polynomial?
Someone help i cant answer this
Answer:
100%, 20%, 60%
Step-by-step explanation:
250/250 = 100/100 = 100%
50/250 = 1/5 = 20/100 = 20%
150/250 = 3/5 = 60/100 = 60%
Distribute to create an equivalent
expression with the fewest symbols
possible.
2(3 – 8y)
=
Answer:
6 - 16y
Step-by-step explanation:
2(3 – 8y) = 2 × 3 - 2 × 8y = 6 - 16y
What is the solution for x in the equation?
10x − 4.5 + 3x = 12x − 1.1
x =
Answer: x= 3.4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
x = 3.4
Step-by-step explanation:
[tex]10x - 4.5 + 3x = 12x -1.1 \\ 13x - 4.5 = 12x - 1.1 \\ 13x - 12x - 4.5 = 12x - 12x - 1.1 \\ x - 4.5 = - 1.1 \\ x - 4.5 + 4.5 = - 1.1 + 4.5 \\ x = 3.4[/tex]
Consider two forces of 17 and 42 pounds both acting in the horizontal direction on a single object. find the resultant force acting on the object. magnitude = direction angle =
The forces have a magnitude of 59 pounds, and their direction angles are zero.
What is the magnitude of force?The total amount of forces exerted on an object is referred to as the magnitude of force. The strength of the force increases when all the forces are pulling in the same direction. The force's strength reduces when forces are exerted on an item from different angles.When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out. When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out.According to this formula, the amount of net force acting on an item is equal to the mass times the acceleration of the object.Magnitude is a term that refers to size or importance. The depth of the Grand Canyon serves as an illustration of magnitude. The scope of the hunger crisis in the world serves as an illustration of magnitude. A measurement of the energy released by an earthquake, as shown on the Richter scale (geology).Two forces of 17 and 42 pounds act horizontally on an object.
i.e
F1 = 17 pounds
F2 = 42 pounds
As the magnitude of the force represents the sum of all the forces
The direction is the same
Magnitude : 17 + 42 = 59 pounds
The Direction angles : 0
As they have the same direction so angle will be 0.
The forces have a magnitude of 59 pounds, and their direction angles are zero.
To learn more about the Magnitude of forces and Direction angles of forces, refer to:
brainly.com/question/14584426
#SPJ4
Answer:59 and 0
Step-by-step explanation:
EDGE