Answer:
B) f(x) = -1 if x ≤ 0
2 if x > 0
Step-by-step explanation:
B) f(x) = -1 if x ≤ 0
2 if x > 0
100 POINTS!! A company has 400 employees. There are 300 female employees. There are 80 employees who are under the age of 25. The probability of randomly selecting an employee who is female or is under the age of 25 is 85%. What is the probability of randomly selecting an employee who is female and under the age of 25?
95%
10%
20%
75%
15%
Answer:
probability of randomly selecting an employee who is female and under the age of 25= 0.15
In percentage= 15%
Step-by-step explanation:
There are 300 female employees. There are 80 employees who are under the age of 25
Probabilty of choosing a female employees= 300/400
Probabilty of choosing a female employees= 0.75
Probabilty of choosing an employees under the age of 25
= 80/400
Probabilty of choosing an employees under the age of 25
= 0.2
probability of randomly selecting an employee who is female and under the age of 25= 0.2*0.75
probability of randomly selecting an employee who is female and under the age of 25= 0.15
In percentage= 0.15*100
In percentage= 15%
3/4+5/36+7/144+.......+17/5184+19/8100
(a)0.95 (b)1 (c) 0.99 (d)0.98
Answer:
B) 1
Step-by-step explanation:
All I did was simplify the equation
1509/1600
(Decimal: 0.943125)
HOPE THIS HELPS!!!! :)
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PLEASE ANSWER
The two pentagons seen below are similar figures. What is the scale factor from the
small pentagon on the left to the large pentagon on the right? The pentagons are not
drawn to scale.
Answer:
The scale factor is 2.2
Step-by-step explanation:
To find the scale factor, you look at the length of any two sides that correspond to each other. For example, in the diagram we can see that the side with the length of 4 on the smaller pentagon corresponds to the side with the length of 8.8 on the larger pentagon.
To find the scale factor, you divide the length of the side of the larger pentagon, by the length of the side of the smaller pentagon.
[tex]\frac{8.8}{4} = 2.2[/tex]
The scale factor is 2.2
Hope this helps!
Gordon types 3,666 words in 47 minutes. Find the unit rate.
Answer:
78 Words per minute
Step-by-step explanation:
A unit rate is simply comparable to an average. Given this, we can say the following:
Unit_Rate = 3666 Words / 47 minutes
Unit_Rate = 78 Words per minute
Cheers.
Any places a dot on a coordinate plane (-3,6) she wants to place another dot across the y axis and it must be 8 points away . Where will any place the other dot
Answer:
(5,6)
Step-by-step explanation:
move the dot 8 spaces to the right because that is the across the y axis.
I am thinking of a number... 1. The number is greater than 6 x 4.2. The number is even. 3. The number is a multiple of 3. 4. The
difference of the digits is four. 5. What is my number?
Ready? Enter your answer here.
Answer:
48
Step-by-step explanation:
48 is greater then 6×4.2
It's even
It's a multiple of 3
the difference is 4
Field data have indicated that Unit A has a failure rate of 0.0004 failure per hour. Calculate the reliability of the unit for a 150-hour mission.
Answer:
Reliability= 149.94
Step-by-step explanation:
Field data have indicated that Unit A has a failure rate of 0.0004 failure per hour.
Reliability per hour=1- failure rate
Reliability per hour= 1-0.0004
Reliability per hour= 0.9996
Reliability= rate if reliability * number of hours
Rate of reliability= 0.9996 per hour
Number of hours= 150 hours
Reliability= 0.9996*150
Reliability= 149.94
What is the general form of a conditional statement
The general form of a conditional statement is written as "if p, then q" in which p is the hypothesis and q is the conclusion.
Jackson mows 1/3 of his neighbors lawn in 1/6 of an hour. At this rate, how many lawns of the same size could he mow in one hour?
A rectangle's perimeter is 92 ft. Its length is 5 ft shorter than two times of its width. Use an equation
to find the rectangle's length and width.
48<4(-7+n)
Um what’s the answer :)
Answer:
n>19
Step-by-step explanation:
Find the following integral.
Integrate x + 5/x^2 +10x +26 dx
Answer:
[tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{ln|x^2 + 10x + 26|}{2} + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsDefinite/Indefinite IntegralsIntegration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx[/tex]
Step 2: Integrate Pt. 1
Set variables for u-substitution.
Set u: [tex]\displaystyle u = x^2 + 10x + 26[/tex][u] Differentiate [Addition/Subtraction, Basic Power Rule]: [tex]\displaystyle du = 2x + 10 \ dx[/tex]Step 3: Integrate Pt. 2
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{1}{2}\int {\frac{2(x + 5)}{x^2 + 10x + 26}} \, dx[/tex][Integrand] Expand: [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{1}{2}\int {\frac{2x + 10}{x^2 + 10x + 26}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{1}{2}\int {\frac{1}{u}} \, du[/tex][Integral] Logarithmic Integration: [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{1}{2}ln|u| + C[/tex]Back-Substitute: [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{1}{2}ln|x^2 + 10x + 26| + C[/tex]Simplify: [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{ln|x^2 + 10x + 26|}{2} + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
a/x + b/x =c, c ne0
i’ll give more points
Answer:
x = (a +b)/c
Step-by-step explanation:
Perhaps you want to solve for x.
Multiply by x:
a + b = cx
x = (a +b)/c . . . . . divide by c
use the figure to determine the intersection of planes EAB and EFG
FG
EA
EF
no intersection
Answer:
Option (3). EF
Step-by-step explanation:
From the figure attached,
Plane defined by EAB can be represented by the face EABF of the square prism also.
Similarly, plane EFG can be represented by the face EFGH of the prism.
Now these sides EABF and EFGH are joining each other at the edge EF of the cuboid.
Therefore, intersection of the given planes is EF.
Option (3) will be the answer.
Let f(x)
-4x - 6 and g(x) = 3x + 5. Find (fºg)(-3).
Answer:
Step-by-step explanation:
f(g(-3)
g(-3) = 3(-3) = -9 - 5 = -14
f(-14)= -4(-14) - 6 = 56 - 6 = 50
Need help with this question. Will crown brainliest
Find the approximate side length of a square game board with an area of 125in2.
Answer: 11.18
Step-by-step explanation: To find one side of a square, you need to square root it’s area. The square root of 125 is 11.18.
Which represents the solution set of the inequality 5x-9321?
O xs"?
23
O x
O x26
O x56
Introduction to interval notation
Finding Domain and range
at an average speed of 3 feet per second. Fuad records the distances and times in a table like the one shown below at this rate, how long will it take the car to travel 21 feet?
Answer:
7 Sec
Step-by-step explanation:
Answer:
7.0 sec
Step-by-step explanation:
Question 3.
X and Y are
supplementary angles. Given X=72°, find the value of Y.
Answer:
Y = 108°Step-by-step explanation:
Since X and Y are supplementary angles it means that the sum of their angles add up to 180°
To find Y , add X and Y and equate it to 180° and solve
That's
X + Y = 180
Y = 180 - X
X = 72°
Y = 180 - 72
We have the final answer as
Y = 108°Hope this helps you
Match the vocabulary to the correct operation practice writing algebratic expressions
AND MORE QUESTIONS PLEASE ANSWER THEM AND IF YOU DO YOU WILL BE MARKED BRAINLIEST AND I SWEAR ILL LOVE YOU PLS :(
Hey there! The answer is C. I can help you with more if you need it.
Solve for v. -8 +5v=-33
Answer:
v = -5
Step-by-step explanation:
Step 1: Write out equation
-8 + 5v = -33
Step 2: Add 8 on both sides
-8 + 8 + 5v = -33 + 8
5v = -25
Step 3: Divide both sides by 5
5v/5 = -25/5
v = -5
Answer:
Solve
-8 +5v=-33
So 5v=-33+8
(-8 became 8 because we brought it back to the other side to have the v 《5v》 alone and the numbers alone )
5v= -25
So v=-25/5
We simplify -25/5
v=-5
What is 42% of $122?
(NOT in college)
help please we can’t figure this out
Answer:
f(-2) = g(-2)
Step-by-step explanation:
The lines intersect at the point (-2, 4). That means that the solution of the system of equations is (-2, 4). When x = -2, the two functions, f(x) and g(x), have the same value, 4.
That means that f(-2) and g(-2) are equal and are both equal to 4.
Answer: f(-2) = g(-2)
If costheta=4/5 then what is sec^2theta
Answer:
[tex]\sec^2(\theta)=\frac{25}{16}[/tex]
Step-by-step explanation:
Recall what the relationship between cosine and secant:
[tex]\sec(\theta)=\frac{1}{\cos(\theta)}[/tex]
In other words, secant is the reciprocal of cosine.
So, if we know cosine, we only need to find its reciprocal to find secant.
We are given that cosine is:
[tex]\cos(\theta)=\frac{4}{5}[/tex]
Then secant must be:
[tex]\sec(\theta)=\frac{5}{4}[/tex]
So:
[tex]\sec^2(\theta)=(\frac{5}{4})^2[/tex]
Square:
[tex]\sec^2(\theta)=\frac{25}{16}[/tex]
And we're done!
8x-9x = 150/10 helpp
Answer:
x =-15
Step-by-step explanation:
[tex]8x-9x = \frac{150}{10} \\\\\mathrm{Add\:similar\:elements:}\:8x-9x=-x\\-x=\frac{150}{10}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{150}{10}=15\\-x=15\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\frac{-x}{-1}=\frac{15}{-1}\\\\Simplify\\x=-15[/tex]
(b - 11) / -29 = -18
Answer:
b=22
Step-by-step explanation:
1 Remove parentheses.
b-11-29=-18b−11−29=−18
2 Simplify b-11-29b−11−29 to b-40b−40.
b-40=-18b−40=−18
3 Add 4040 to both sides.
b=-18+40b=−18+40
4 Simplify -18+40−18+40 to 2222.
b=22b=22
Need help on this question anyone please!
Answer:
f(3)=2
Step-by-step explanation:
To find f(3), we simply need to find the ordered pair at x=3.
From the graph, we can see that the ordered pair at x=3 is (3,2).
Thus, f(3)=2.
And we're done!
3.7m∧5÷3.7m∧2 How do I complete this expression?
The average ocean depth is 3.7 × 103 m, and the area of the oceans is 3.6 × 1014 m2. What is the total volume of the ocean in liters? (One cubic meter contains 1000 liters. Round your answer to one decimal place.)