Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.
From the complete information, the probability distribution will be:
= 1/(b - a) = 1/(30 - 10) = 1/20
Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:
= (12 - 10) × 1/20
= 2 × 1/20
= 1/10
= 10%
In conclusion, the correct option is 10%.
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Which diagram is not a function please a need explanation
Answer:3
Step-by-step explanation:
It is because the letters in diagram A cannot go to 2 seperate numbers in diagram B
Find the zeros of this polynomial:
p(x)= (x²+4x+3)(x²-4)
====================================================
Explanation:
Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.
Let's apply that idea to the first factor.
x^2+4x+3 = 0
(x+1)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -1 or x = -3 are two roots
-------------
Do the same for the other factor as well.
x^2 - 4 = 0
(x-2)(x+2) = 0 .... difference of squares rule
x-2 = 0 or x+2 = 0
x = 2 or x = -2 are another two roots
--------------
In total, the four roots are:
x = -3x = -2x = -1x = 2Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.
How i can answer this question?
Answer:
11n
Step-by-step explanation:
7+4 =11
so then 7n+4n=11n
The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of money collected from book sales.
Book Sales Revenue
What is the constant of proportionality?
0.67
1
1.5
2
Answer:
1.5
Step-by-step explanation:
6/4
Answer:
it's C. 1.5
Step-by-step explanation:
I did the test
a store is having clearance sale where merchandise on the sales racks is reduced by 80% from the original price. if a jacket was originally priced at $76, what is the sale price?
Answer:
Sale price is [tex]15.2\$[/tex]
Step-by-step explanation:
Price is reduced by 80% from the original price.
Here original price is $76
Sale price is
[tex]=76-76\times\frac{80}{100}\\\\=0.2\times76\\\\=15.2\$[/tex]
Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x 0. 3 0. 9 1. 0 1. 5.
Using exponential functions, it is found that a = 1.5 would cause the function to stretch.
The exponential function given is:
[tex]y = \left(\frac{1}{3}\right)^x[/tex]
If it is multiplied by a such that |a| < 1, it is compressed.If it is multiplied by a such that |a| > 1, it is stretched.Hence, a = 1.5 would cause the function to stretch.
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Answer:
1.5 is the value of a in the exponential function below would cause the function to stretch
A large university accepts 60% of the students who apply. Of the students the university accepts, 45% actually enroll. If 30,000 students apply, how many actually enroll?
________ students would actually enroll. (Type a whole number)
Answer:
4,500 hope this help
Step-by-step explanation:
Figure A is a scale image of figure B.
Pls help!!!
x = 5.25
since there is a scale factor of 1.75, you multiply 3 * 1.75 and get 5.25
hope this is helpful!
Which equation could be solved using this application of the quadratic formula? A. -2x2 â’ 8 = 10x â’ 3 B. 3x2 â’ 8x â’ 10 = 4 C. 3x2 8x â’ 10 = -8 D. -2x2 8x â’ 3 = 4.
The given question can be solve using quadratic formula.
The correct option is (c) [tex]3x^2 +8x -10=-8[/tex].
Given:
The given equation is,
[tex]x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}[/tex]---------------------------(1)
Write the general quadratic equation.
[tex]ax^2 + bx +c=0[/tex]
Write the quadratic formula.
[tex]x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}[/tex]------------------------------- (2)
Compare equation (1) and (2).
[tex]a=3\\b=8\\c=-2[/tex]
Substitute the value of [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] in general quadratic.
[tex]3x^2 +8x -2=0[/tex]
Subtract [tex]8[/tex] from each side of above equation.
[tex]3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8[/tex]
Thus, the correct option is (c) [tex]3x^2 +8x -10=-8[/tex].
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please help with this
The area of the triangle below is 5.52 square feet.
What is the length of the base?
Answer:
4.6 ft
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
Fill in the given values and solve for the base.
5.52 = 1/2b(2.4)
5.52/1.2 = b = 4.6 . . . . divide by the coefficient of b
The base is 4.6 feet.
read what on the image then answer
Fraction 10/12 would be greater than 3/4
Can someone please help !!
A distance of 6.5 × 10−8 is multiplied by 10. The result is written in scientific notation. What is the new exponent?
Answer:
6.5 x 10^(-7)
Step-by-step explanation:
When multiplied by 10, it is like multiplying by 10^1. We can use the exponent rule: 10^(-8) * 10^1 = 10^(-7).
Example:
1.3 x 10^2 multiplied by 10
This is the same as 130 multiplied by 10 which is equal to 1300.
1300 written in scientific notation is 1.3 x 10^3, which adds one more onto the exponent.
Find the area of the shape shown below.
Answer:
14 sq units
Step-by-step explanation:
square - 4
triangle - 4
secong triangle - 6
4+4+6 = 14 sq units
Answer:
A = 10 sq. units
Step-by-step explanation:
Area of a trapezium is the average of the bases times the height.
Base 1 is 8 units
Base 2 is two units
Average is (8 + 2)/2 = 5 units
A = 5(2) = 10 sq. units
Which of the following tables represents a function?
X 6 6 7 7
y 2 -2 3-3
x 2-2 3-3
y 5 5 7 7
x 3 -3 3-3
y 6 7 8 9
X 4 4 5 5
y 1 2 3 4
Answer:
The second one:
x 2-2 3-3
y 5 5 7 7
Step-by-step explanation:
Each domain value or x can only have one range, y, so, with that said, the second one is the answer.
Easy question, Worth 80 points, PLEASE HELP!! What are the angles and the side measurements for this triangle?
Answer:
the angles are 89.2°, 34.5°, 56.3° and the sides are √26units, √8units, √18units respectively
Step-by-step explanation:
Distance between points (2,5) and (-1,2)
Using the formula, √(X2 - X1)² + (Y2 - Y1)²
= √(-1-2)²+(2-5)²
=√(-3)²+(-3)²
=√9+9
=√18 or 3√2
Distance between points (-1,2) and (4,3)
=√[4-(-1)]²+(3-2)²
= √5²+1²
=√25+1
=√26
Distance between points (2,5) and (4,3)
=√(4-2)²+(3-5)²
=√2²+(-2)²
=√4+4
=√8
Using Cosine rule/formula, C²= A²+B²-2abcosc
Let C be √18, A be √26 and B be √8
√18²=√26²+√8² - 2√26.√8cosc
18= 26+8 - 2√208cosc
18= 34 -2√208cosc
2√208cosc= 34-18
Cosc = 16/2√208
Cosc= 0.5546
c= Cos`¹(0.5547)
c= 56.3°
Using sine rule/formula
Sinc/C= Sina/A=Sinb/B
Sin56.3/√18= Sina/√26
Sina= (0.8320 × √26)/ √18
Sina= 0.9999
a= Sin`¹(0.9999)
a= 89.2
56.3+89.2+b= 180°( sum of angles in a triangle)
145.5 + b =180
b=180-145.5
b= 34.5
how to find inflection points from first derivative
Answer:
For finding the inflection points you'll have to put the first derivative equal to zero and solve for x. After you've done that, you can plug in the x you've just found into the original function and find also the y, so you'll find the ordered pair (x,y) of the inflection point(s).
Justin ate 9 out of the last 15 pretzels. What fraction of the pretzels was left ? Write the fraction in simplest form.
What is the reason for each step in the solution of the equation?
18x – 2x = 4x
Match the reasons with each step in the equation.
Given
Answer:
18 - 2x = 4x (Given)18 = 6x (Addtion property of equality)3 = x (Division property of equality)Step-by-step explanation:
Given - This is the start of the proof. Use this for the information given from the start.
Addition property of equality - Use this when adding terms on both sides of an equation.
Division property of equality - Use this when dividing terms on both sides of an equation.
1
Arrange the following steps in the right order so as to find the roots of the following quadratic equation.
22 +22 - 8=0
=
-2 +6
=
2
-2 +4+32
2.
=
= = =
I = -4; = 2
x = -13
TI
-2 = 36
2
-2 +(2) – 4(1)(-8)
2 (1)
2
= r = -1 -3: x = -1 +3
Answer:
22 +22 - 8=0
=
-2 +6
=
2
-2 +4+32
2.
=
= = =
I = -4; = 2
x = -13
TI
-2 = 36
2
-2 +(2) – 4(1)(-8)
2 (1)
2
= r = -1 -3: x = -1 +3 = sin \theta
Step-by-step explanation:
I need reassurance that my answer is right. Is this a rotation? :')
Answer:
Yes, it is a rotation!
Step-by-step explanation:
You know this because the shape rotated. It did not flip, change size, or remain the same.
I hope this helps!
solving system by elimination
show your work
-3x - 5y = -7
-4x + 5y = 14
Answer:x=-1, y=2
Step-by-step explanation:
Summing these equations, we will obtain,
-7x =7
Therefore, x=-1
If we put x in the first equation,
(-3*-1)-5y=-7
3-5y=-7
-5y=-10
y=2
Answer:
x=-1, y=1
Step-by-step explanation:
-3x-5y=-7
-4x+5y=14
-7x=7
x=-1
-3x-5y=-7
-3(-1)-5y=-7
3-5y=-7
-5y=-10
y=2
what is the following product 3 sqrt 4 times sqrt 3
Answer:
c on edge YW
Step-by-step explanation:
The value of ∛4 × √3 is 2.75 or [tex]\sqrt[6]{432}[/tex].
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given;
Expression,
product 3 sqrt 4 times sqrt 3.
In numerator form:
As per the given expression,
∛4 × √3
Simplifying,
∛4 × √3
= [tex]4^{1/3}[/tex] x [tex]3^{1/2}[/tex]
= [tex]4^{2/6}[/tex] x [tex]3^{3/6}[/tex]
= [tex]\sqrt[6]{16 + 27}[/tex]
= [tex]\sqrt[6]{432}[/tex]
= 2.749
= 2.75
Therefore, the product is 2.75 or [tex]\sqrt[6]{432}[/tex].
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Solve the inequality T > l+d/B for D
Answer:
Second option = TB - L > D
Step-by-step explanation:
[Given] T > [tex]\frac{L +D}{B}[/tex]
[Multiply both sides by B] TB > L + D
[Subtract L from both sides] TB - L > D
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What is the value of -2
Answer:
11
Step-by-step explanation:
-2 lies in the second range that begins with -2 and ends with 8
A baker displays 72 muffins on 8 identical trays.
How many trays does the baker need to display 54 muffins?
Enter your answer in the box.
Jenny wants to build a concrete patio that will be 8 meters by 11 meters
Therefore, the total cost of the patio is $352.
Hoped this helped!
[tex]BrainiacUser1357[/tex]
____________ system is a system where each transaction is entered twice, once on the debit side and once on the credit side. *
Options -
Single entry
Double entry
Answer:
Double-entry bookkeeping,in accounting, is a system of bookkeeping where every entry to an account requires a corresponding and opposite entry to a different account. The double-entry system has two equal and corresponding sides known as debit and credit.
Step-by-step explanation:P I E C K_______The perimeter of the figure below is 41.6 in.
Find the length of the missing side.
Answer:
the answer is 5.9 since both sides are the same and on the other side its 5.9
Hope This Helps!!!