Answer:
3/2 or 1.5
Step-by-step explanation:
3(2−1)
=3(
1
2
)
=
3
2
The value of 3(2)ˣ for x = -1 is 3/2
What is simplification?In mathematics, simply or simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.
Given is a function, f(x) = 3(2)ˣ
When x = -1
f(-1) = 3(2)⁻¹
f(-1) = 3x2⁻¹
f(-1) = 3x1/2
f(-1) = 3/2
Hence, The value of 3(2)ˣ for x = -1 is 3/2
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Hamda and Layla get paid per project.
Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.
Layla is paid a project fee of AED 18 plus AED 14.25 per hour.
Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Show your steps
Answer:
The company will pay 24.75h+43 AED if they hire both workers.
Step-by-step explanation:
Given that:
Project fee of Hamda = AED 25
Per hour charges = AED 10.50
Let,
h be the number of hours
y = 10.50h + 25
Project fee of Layla = AED 18
Per hour charges = AED 14.25
y = 14.25h + 18
Total amount to hire both.
Total cost = y+y
Total cost = 10.50h+25+14.25h+18
Total cost = 24.75h+43
Hence,
The company will pay 24.75h+43 AED if they hire both workers.
help please !!! x/4 = 9/x
Step-by-step explanation:
x/4=9/x
x.x=4.9
x^2=36
√x=√6
x=6
Walmart has soft drinks on sale: 4 packs for $20 Kroger has soft drinks on sale : 3 packs for $18 Which store has the better deal? why?
Answer:
Walmart has the better deal.
Step-by-step explanation:
If you divide the amount of money and the packs they sell, Walmart is cheaper.
Walmart: 20/4 = 5
Kroger: 18/3 = 6
Answer:
It is Walmart 4 packs for 20$
Step-by-step explanation:
I’m seriously crushing on you. I’m deeply in love with you girl. Will you give me a chance to prove my love? And you’ll have your best days forever. Happy Valentine’s Day crush girl.
Answer:
I think you'd be better off simping for sunflowers then girls mate.
Step-by-step explanation:
Lol jk
Sandy has the numbers 1 to 15 in a box. She randomly chooses one number, and without replacing it, chooses another number from the box. What is the probability that Sandy will choose 2 prime numbers?
A.2/15
B.1/7
C.2/5
D.1/2
Answer:
A: 2/15
Hope this helped!
three integers have a mean of 7, a median of 5 and a range of 14. find the three integers
Answer:
1, 5, 15
Step-by-step explanation:
First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.
given the function f(x)=x^3 +x^2-2x+1 what is the resulting function f(x) is shifted to the left one unit
Answer:
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Step-by-step explanation:
Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).
In this question, we have:
[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]
Shifting 1 unit to the left:
[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]
[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]
[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]
[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Pls help with this.
There are 7,500 shares of $10 par value participating 9 percent preferred stock outstanding, and 32,500 shares of common stock outstanding. The common stock cash dividend is $.50 per share, and total dividends of $50,000 are distributed. Remaining dividends are shared equally between common and preferred stockholders. Round your answers to two decimal places, if necessary.
Answer:
add the answers then subtract
Step-by-step explanation:
hope this is right
Help pls ill give Brainlyest to the one who does it step by step.
Answer:
12.8% decrease
Step-by-step explanation:
if you find the unit rate for the sale, which would be 125 cents divided by 3 cans, equals around 43.6 cents per can. 43.6 cents is an x% decrease of 50 cents, and to find x easily i multiplied by 2. 43.6 x 2=87.2, and 50 x 2 = 100. that means that the sale price is 87.2 % of the original price, which is a 12.8% decrease.
please help me with this
Answer:
[tex] \frac{17}{8} + \frac{5}{3} = \frac{51 + 40}{24} = \frac{91}{24} [/tex]
hope it can help u~~
A box of cereal weighs 12 ounces and costs $2.16. What is the price of the cereal per ounce?
Answer:
0.18 cents an ounce
Step-by-step explanation:
Take 2.16 and divide it by 12.
Consider a company that has two different divisions. The annual profits from the two divisions are independent and have distributions Profit1 ~ N(5, 3^2) and Profit2 ~ N(7, 4^2) respectively. Both the profits are in $ Million. Assume that $1 = Rs. 45
A. Specify a Rupee range (centered on the mean) such that it contains 95% probability for the annual profit of the company.
B. Specify the 5th percentile of profit (in Rupees) for the company
C. Which of the two divisions has a larger probability of making a loss in a given year?
Answer:
a) Rs 603.68
b) Rs 476.33
c) first division
Step-by-step explanation:
Total profit = profit 1 + profit 2 = P
hence P ~ N(12,74) = [tex]\frac{P-12}{\sqrt{74} } ~ N(0,1)[/tex]
A ) Specifying a Rupee range ( centered on the mean ) that contains 95% probability for annual profit of the company
$13.41 = Rs 603.68
B) specifying the 5th percentile of profit
p = $10.59 ≈ Rs 476.33
C) The division that has a larger probability of making a loss in a given year is the first division
attached below is a detailed solution of the given problem
A): Range containing 95% probability for profit of company is
(Rs. 99M, Rs. 1026M).
B): Rs. 170.1 Million.
C): First division of the company has larger probability of making a loss.
Given that:
$1 = Rs. 45
[tex]Profit_1 \sim N(5, 3^2) \\ Profit_2 \sim N(7, 4^2)[/tex]
Thus,
Company's profit:
[tex]P \sim N( 5+7, 3^2 + 4^2) = N(12, 5^2)[/tex]
A):
95% of the probability lies between 1.96 standard deviations of the mean.
Thus range is:
[tex]= (12 - 1.96\times 5, 12 + 1.96 \times 5)\\\\= (\$2.2M, \$22.8M)\\ \\= (\rm Rs. \: 99M, \rm Rs. \: 1026M)[/tex]
B): Fifth percentile is calculated as:
[tex]P(Z \leq \dfrac{p-12}{5}) = 0.05[/tex]
From p values of z score table, we get:
[tex]\dfrac{p-12}{5} = -1.644\\p = 12 - 8.22 = 3.78\\[/tex]
Thus at $3.78M dollars, or Rs. 170.1M amount, 5th percentile of profit lies.
Or 5th percentile of profit is Rs. 170.1 Million.
C): Loss is when profit < 0
Thus: p < 0
The first division of company, thus have larger probability of making a loss in a given year.
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PLS HELP ASAP
WILL MARK BRAINLIEST
Answer:
first blank is x, then -7, then 11, then -11.
Step-by-step explanation:
Hope it helps!
Please find X............
Answer:
[tex]x=45.57^{\circ}[/tex]
Step-by-step explanation:
Given that,
Hypotenuse, H = 10
Base = 7
We need to find the value angle x. The relation between Hypotenuse, Base and the angle x is given by :
[tex]\cos\theta=\dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\cos\theta=\dfrac{7}{10}\\\\\theta=\cos^{-1}(\dfrac{7}{10})\\\\\theta=45.57^{\circ}[/tex]
So, the value of x is [tex]45.57^{\circ}[/tex].
Graph the image of the figure after a dilation with a scale factor of 2 centered at (-7, - 2).
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
Answer:
Sorry this is late!
Step-by-step explanation:
I WILL MARK BRAINLIEST!!
Answer:
i think 108
Step-by-step explanation:
The table shows the temperature (y) at different altitudes (x), This is a linear relation ship. Use the equation y= -0.004x+69 to determine the temperature at an altitude of 5,000 feet.
Answer:
49
Step-by-step explanation:
i just did it
??????????????????????
Answer:
f(8)=91 is the answer
answer is 91
The annual amount of rainfall in Ventura County is bounded by 6.3 and 20.5, is continuous and each outcome is equally likely. Use this information to answer the following four questions.
a. Determine P(10.2 < x < 18.7).
b. Determine P(x > 17.1).
c. Determine P(x < 6.3).
d. What is E[x]?
Answer:
a.0.5984
b.0.2394
c.0
d.13.4
Step-by-step explanation:
We are given that
a=6.3,b=20.5
The pdf of uniform distribution
[tex]f(x)=\frac{1}{b-a}=\frac{1}{20.5-6.3}=0.0704[/tex],6.3<x<20.5
0, otherwise
Now,
a.
P(10.2<x<18.7)=[tex]\int_{10.2}^{18.7}f(x) dx[/tex]
[tex]=0.0704[x]^{18.7}_{10.2}[/tex]
[tex]P(10.2<x<18.7)=0.0704(18.7-10.2)=0.5984[/tex]
b.P(x>17.1)
[tex]P(x>17.1)=\int_{17.1}^{20.5}0.0704dx[/tex]
[tex]=0.0704(20.5-17.1)[/tex]
[tex]=0.2394[/tex]
c.P(x<6.3)=0
d.E[x]=[tex]\frac{a+b}{2}=\frac{6.3+20.5}{2}=13.4[/tex]
If s= 6 inches, and the altitude, h, is 21 inches, what is the volume of the pyramid?
Answer: 42 inches
Step-by-step explanation:
To find the volume you multiply 1/3 of the base which is 6 then with 1/3 is 2 them multiply the altitude which is 21. So 2 times 21 is 42 inches
Answer:
The volume of the pyramid is 42 inches³.
Step-by-step explanation:
The formula is V = ⅓ A H. 6x21=126, 126x1/3=42.
Help plz ASAP brainliest
Answer:
15
Step-by-step explanation:
Emma has a fish tank with two fish in it. The probability that the first fish lives for at least one year is 0.84. The probability that the second fish lives for at least one year is 0.90. The lifespan of each fish is independent of the other fish. What is the probability that both fish live for at least one year? Do not round your answer.
Answer:
.756
Step-by-step explanation:
Answer:
0.756
Step-by-step explanation:
correct on edge
Which expression is equivalent to |b| > 6 ?
b 6
b 6
b > –6 or b –6 and b < 6
Answer:
number 3. is the correct answer.
I will give brainliest to whoever helps, I really need this. pls pls help! thanks!!
Answer:
[tex]\mathrm{1.}\; m=\mathrm{N/A};\: \mathrm{none}; \: x=14\\\mathrm{2.}\; m=0;\: (0,-5); \:y=-5\\\mathrm{3.}\; m=2;\:(0, -6); \: -2x+y=-6\\[/tex]
Step-by-step explanation:
Problem 1:
The slope of a vertical line is always undefined.The y-intercept of a line occurs when [tex]x=0[/tex]. In this line, [tex]x[/tex] is defined already as [tex]14[/tex] and therefore there is no y-intercept.The equation of a vertical line is [tex]x=n[/tex], where [tex]n[/tex] is some constant.Problem 2:
The slope of a horizontal line is always [tex]0[/tex].The y-intercept of a line occurs when [tex]x=0[/tex]. In this line, [tex]y[/tex] is declared as 5 for [tex]x\in \mathrm{R}[/tex]. Therefore, the y-intercept is [tex](0, -5)[/tex].The equation of a horizontal line is [tex]y=n[/tex], where [tex]n[/tex] is some constant.Problem 3:
The slope of a line given two points can be found using [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. In this case, the slope is [tex]\frac{11-(-1)}{5-(-1)}=\frac{12}{6}=2[/tex].The y-intercept occurs when [tex]x=0[/tex]. Using the equation we found (refer below), plug in [tex]x=0[/tex] to get the y-coordinate of the y-intercept.In slope-intercept form, the equation of a line is written as [tex]y=mx+b[/tex]. Using [tex]m=2[/tex] and any coordinate this line passes through, we find the equation of this line to be [tex]y=2x-6[/tex]. Rearranging this in standard form ([tex]ax^2+bx+c[/tex]), we get [tex]-2x+y=-6[/tex].i really need help on this problem! reply asap!!!
Ms. Davis is doing an activity with her statistics students where she gives them a 202020-question multiple choice test, and they know none of the answers. Students need to guess on every question, and each question has 555 possible choices, 111 of which is correct.
What are the mean and standard deviation of the number of questions that each student gets correct?
You may round your answers to the nearest tenth.
Answer:
The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively (
Answer: mean: 4
standard deviation: 1.79
Step-by-step explanation:
You and a friend go to the local taco joint for lunch. You order three tacos and three burritos and your bill totals $11.25. Your friend's bill is $10.00 for 2 burritos and 4 tacos. Which system of equations can be used to determine the cost of b, a single burrito, and t, a single taco?
A.
3t + 3b = 10
2t + 4b = 11.25
B. 3t+ 3b = 11.25
2t + 4b = 10
C. 3t+ 3b = 10
4t + 2b = 11.25
D. 3t + 3b = 11.25
4t + 2b = 10
Answer:
d
Step-by-step explanation:
Help me with this please worth 40 points!!!
Step-by-step explanation:
Since KQ bisects RS, we have KR = 0.5SR.
=> 2x - 8 = 0.5(x - 1)
=> 2x - 8 = 0.5x - 0.5
=> 1.5x = 7.5, x = 5.
Use the following definition of absolute value to prove the given statements: If x is a real number, then the absolute value of x , | x | , is defined by: | x | = { x if x ≥ 0 − x if x < 0 For any real number x , | x | ≥ 0 . Moreover, | x | = 0 implies x = 0 . For any two real numbers x and y , | x | ⋅ | y | = | x y | . For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Answer:
Proved all parts below.
Step-by-step explanation:
As given ,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
To prove- a) For any real number x , | x | ≥ 0 . Moreover, | x | = 0 ⇒ x = 0
b) For any two real numbers x and y , | x | ⋅ | y | = | x y | .
c) For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Proof -
a)
As given x is a real number
Also , by definition of absolute value of x , we get
| x | ≥ 0
Now,
if |x| = 0
⇒ x = 0 and -x = 0
⇒ x = 0 and x = 0
⇒ x = 0
∴ we get
| x | = 0 ⇒ x = 0
Hence proved.
b)
To prove - | x | ⋅ | y | = | x y |
As we have,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
|y| = [tex]\left \{ {{y , y\geq 0} \atop {-y, y< 0}} \right.[/tex]
|xy| = [tex]\left \{ {{xy , x,y > 0 and x,y < 0} \atop {-xy, x > 0, y< 0 and x <0 , y > 0}} \right.[/tex]
We have 4 cases : i) when x > 0 , y > 0
ii) when x > 0 , y < 0
iii) when x < 0, y > 0
iv) when x < 0, y < 0
For Case I - when x > 0 , y > 0
⇒ |x| = x, |y| = y
⇒|x|.|y| = xy
For Case Ii - when x > 0 , y < 0
⇒ |x| = x, |y| = -y
⇒|x|.|y| = -xy
For Case Iii - when x < 0 , y > 0
⇒ |x| = -x, |y| = y
⇒|x|.|y| = -xy
For Case IV - when x < 0 , y < 0
⇒ |x| = -x, |y| = -y
⇒|x|.|y| = (-x)(-y) = xy
∴ we get , from all 4 cases
| x | ⋅ | y | = | x y |
Hence Proved.
c)
To prove - | x + y | ≤ | x | + | y |
Let
|x| = |x + y - y|
≥ |x + y| - |y| ( Triangle inequality)
⇒ |x| + |y| ≥ |x + y|
Hence Proved.