Answer:
0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: It weighs 2 lbs or more
Event B: Delivered by UPS
15% of the packages that are delivered by UPS weighs 2 lbs or more.
This means that [tex]P(A \cap B) = 0.15[/tex]
More than 2 lbs:
15% of 20%(UPS)
93% of 80%(Not delivered by UPS). So
[tex]P(A) = 0.15*0.2 + 0.93*0.8 = 0.774[/tex]
a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938[/tex]
0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more
Please help i will give brainliest
Answer:
Step-by-step explanation:
area of rectangle = 8×5 = 40 cm²
area of semicircle = ½×π4² = 8π cm²
total area = 40 + 8π ≅ 65.1 cm²
:::::
area of circle = π2² = 4π in²
area of square = 4⁴ = 16 in²
blue area = 16 - 4π ≅ 3.4 in²
Help please! I’ll give brainliest.
9514 1404 393
Answer:
(a) not proportional
(b) k = 7/8
Step-by-step explanation:
When a linear equation is of the form ...
y = mx + b
with b ≠ 0, the relation is NOT PROPORTIONAL.
__
If b=0, so the equation is of the form ...
y = kx
then the relation IS PROPORTIONAL. The constant of proportionality is k.
__
(a) Not proportional
(b) Proportional with k = 7/8
can someone give me the slope and y-intercept for this problem
Answer:
Slope: 2
Y-intercept: -4
Step-by-step explanation:
Slope = y2 - y1 / x2 - x1
Slope = -2 - -4 / 1 - 0
Slope = 2 / 1
Slope = 2
Y-intercept is when x = 0
This is shown on the first row
When x = 0, y = -4, which is our y-intercept
An Item is regularly priced at $60. It is now priced at a discount of 65% off the regular price. What is the price now?
Answer:
$21
Step-by-step explanation:
There are two ways to do this question:
1. Multiply 60 by .65 and minus the product from the original price ($60)
2. Multiply 60 by .35 (This is because the discounted price maintains 35% of the regular price)
Let's do it both ways:
1. (60)(.65) = 39
60 - 39 = 21
2. (60)(.35) = 21
Therefore, the price now is $21.
I hope this helps!!
- Kay :)
Answer:
$21.00
Step-by-step explanation:
$60.00*(1.00-.65)
$60.00*(35)
$21.00
1+2+3+4+4+1000000000000000000=???
Answer:
1000000000000000015
Answer:
1,000,000,000,000,000,014
There are 3000 bacteria in a dish. The population decreases by 20% per day. How many bacteria are left after 3 days?
Answer:
1536 bacteria
Step-by-step explanation:
3000×0.80³ = 1536
This is an exponential equation of the form
[tex]F=Ir^t \\ \\
F=3000(0.8)^3 \\ \\
F=1536[/tex]
The amount of tax for another camera is $5.25 and the tax rate is 6%. Use the given equation to find the price before tax.
Original cost = Tax Amount
Percent
Original cost = 5.25
0.06
$87.50
$56.25
$31.50
$11.25
Answer:
Step-by-step explanation:
B was wrong!!
Answer: A
Step-by-step explanation: Just got it right.
In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg.
Answer:
15
Step-by-step explanation: I believe that's the answer because the hypotenuse in a 30 60 90 is x2 and 15x2=30
Answer:
15
Step-by-step explanation:
Given the point (-4,-6), what is the coordinate of the point reflected over the X-axis and Y-axis?
Answer:
(4, 6)
Step-by-step explanation:
if it's a reflection then I believe it would just look exactly the same only with positive numbers
sorry if it's wrong, but hope it helps :)
Answer:
(4, 6)
Step-by-step explanation:
In the question it says "reflected over the X-axis and the Y-axis?"
When reflected you get (4, 6)
The opposite of Negative is positive
Ali and Sami share some sweets in the ratio 4: 7. Sami receives 15
more sweets than Ali. How many sweets do they each get?
Answer:
Ali = 12, Sami = 21
Step-by-step explanation:
Ali = 4x, Sami = 7x
lets make an equation
7x-4x=15
3x=15
x=3
Now when we know x we can find how many candies each got
3*4=12, 3*7=21
Write the equation of the line in fully simplified slope-intercept form???
Answer:
[tex]y = - \frac{4}{5} x + 3[/tex]
Step-by-step explanation:
[tex]b = 3[/tex]
[tex] - 2 = 4a + 3[/tex]
[tex]a = - \frac{4}{5} [/tex]
Need it ASAP no rocky
Answer:
Value of x = 19.42 unit (Approx)
Step-by-step explanation:
Given:
Base = 6 unit
Angle θ = 72°
Find:
Value of x
Computation:
Cos θ = base / Hypotenuse
Cos 72° = 6 / x
0.3090 = 6 / x
x = 19.4174
Value of x = 19.42 unit (Approx)
the perimeter of the rectangle ia 74 inches it is 27 inches wide how deep is it
Answer:
10 inches
Step-by-step explanation:
Assuming that by 'deep' you mean length, we can set up a simple algebraic expression to solve this problem. We know that a rectangle has 4 sides, 2 of them equal sides, and all of those sides added up equals the perimeter. To say that algebraically, [tex]2a+2b=p[/tex]. We can fill in the blanks on this equation to solve.
[tex]2(27)+2b=74\\\\54+2b=74\\2b=20\\b=10[/tex]
The length of the other side is 10 inches.
Hope this helped!
PLEASE HELP GEOMETRY
Answer:
2x=8
x=4
Step-by-step explanation:
Question 1.
5x+2y=-7
15x+6y=21
No solution, One solution, or infinite solution?
Question 2.
Y=2x+1
2x-4=1
No solution, one solution, or infinite solution?
Question 3.
6x+4y=10
3x+2y=5
No solution, one solution, or infinite solution?
Answer:
Q1: no solution
Q2: one solution
Q3: infinite solutions
Step-by-step explanation:
Question 1
Answer: No solution
-------------------
Explanation:
Multiply both sides of the first equation by 3. Doing so leads to
3*(5x+2y) = 3*(-7)
15x+6y = -21
The second equation is 15x+6y = 21
Let's say we let z = 15x+6y
This means the system
[tex]\begin{cases}15x+6y = -21\\15x+6y = 21\end{cases}[/tex]
becomes
[tex]\begin{cases}z = -21\\z = 21\end{cases}[/tex]
but we can't have z be equal to more than one value at a time. We have a contradiction and therefore there are no solutions.
===============================================
Question 2
Answer: One solution
The solution is (x,y) = (5/6)
-------------------
Explanation:
Apply substitution
2x - 4y = 1
2x - 4(2x+1) = 1
2x - 8x - 4 = 1
-6x - 4 = 1
6x = 1+4
6x = 5
x = 5/6
Then use this to find y
y = 2x+1
y = 2(5/6)+1
y = 5/3 + 1
y = 5/3 + 3/3
y = 8/3
The one solution is (x,y) = (5/6)
===============================================
Question 3
Answer: Infinitely many solutions
-------------------
Explanation:
Multiply both sides of the second equation by 2
3x+2y = 5 becomes 2*(3x+2y) = 2*5 which turns into 6x+4y = 10
This is exactly identical to the first equation of the original system given.
So both equations represent the same thing. We have infinitely many intersection points, and infinitely many solutions.
All of these solutions are on the line 3x+2y = 5
Please can someone work it out!!! I have 5 mins 13 points :)
Answer:
49m^3
Step-by-step explanation:
6287-6238=49m^3
A contractor claims the mean value of his compression test is 6500 psi and has astandard deviation of 500 psi. You attempt to check this by taking 8 sample measurements and findyour average is 5900 psi. If your levelof significance is 0.01, would you believe the means are the same
Answer:
This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.
Step-by-step explanation:
The following parameters are given from the question above. These information is used in solving this problem.
=> The mean value of his compression test = 6500 psi, the standard deviation = 500 psi, the average of the mean = 5900 psi and the number of sample measurements = 8.
The first thing to do right now is to determine the characteristic strength, this can be calculated as below:
Characteristic strength= average of the mean - (1.65/2) × standard deviation.
Characteristic strength = 5900 - (0.825) × 500 = 5487.5 psi.
The next thing to do is to Determine the target mean strength.
Target mean strength = 5487.5 psi + 1.65 × 500 = 6312.5 psi.
The above is from taking samples from 8 samples.
Now, let's consider the characteristic strength by the contractor.
Characteristics strength = 6500 - 165 × 500 = 5675 psi.
This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.
If the temperature is —3°F at 10:00 p.m., and the temperature falls four degrees overnight, what is the resulting temperature?
Can someone help plzzz!!!
Answer:
4
Step-by-step explanation:
4•4•4 = 64
Answer:
4
Step-by-step explanation:
cubic root of 64 is 4, since 4^3 = 64
I am once again asking for your help
Convert the expression (√3)(∜3) to exponential form. Show your work.
Answer:
(3^1/2)(3^1/4)
Step-by-step explanation:
Use the formula
[tex]\sqrt[n]{a} ^x[/tex] = [tex]a^{\frac{x}{n} }[/tex]
[tex]\sqrt{3}[/tex]
a = 3
n = 2, we do not write it because square root is basically replacing it
x = is a period in this case period is 1
[tex]\sqrt[4]{3}[/tex]
a = 3
n = 4
x = 1
Exact Form:
[tex]3^{\frac{3}{4} }[/tex]
Decimal Form:
2.27950705
…
Hope it helps:)
Paul was thinking of a number. Paul divides by 3, then adds 10 to get an answer of 2. What was the original number?
Answer:
-24
Step-by-step explanation:
let 'n' = the number
n/3 + 10 = 2
n/3 +10 - 10 = 2 - 10
n/3 = -8
n = -24
Answer:
x= -24
Step-by-step explanation:
let the number be x
x/3 +10=2
Multiply through by 3
3 * x/3 + 3 *10 = 2*3
x + 30 = 6
x= 6 - 30
x= -24
note * = multiplication sign
Mario tiene un comercial tecnológico, vende una cámara web HD con una ganancia del 18% sobre el precio de costo. El compró la cámara en $15,00. ¿Cuál es el precio de venta de la cámara?
Answer:
El precio de venta de la cámara es de $17.70.
Step-by-step explanation:
Dado que Mario vende una cámara web HD con una tasa de ganancia del 18%, y compró dicho elemento a $15.00, para determinar el precio de venta del producto se debe realizar el siguiente cálculo:
15 + (15 x 18 / 100) = X
15 + (15 x 0.18) = X
15 + 2.70 = X
17.70 = X
Por lo tanto, el precio de venta de la cámara es de $17.70.
Which statement is true if a is the fourth root of 16, Show your work
a x a x a x a = 16
a = 164
4a = 16
a = 16/4
Given:
The statement is " a is the fourth root of 16".
To find:
The true statement for the given statement.
Solution:
The given statement is
a is the fourth root of 16.
Mathematically, it can be written as
[tex]a=\sqrt[4]{16}[/tex]
Taking power 4 on both sides.
[tex]a^4=(\sqrt[4]{16})^4[/tex]
[tex]a\times a\times a\times a=16[/tex]
Therefore, the correct option is A.
A true statement , if a is the fourth root of 16 is
a x a x a x a = 16
Important Information :
'a' is the fourth root of 16'a' is the fourth root of 16 can be written as
[tex]a=\sqrt[4]{16}[/tex]
To remove fourth root, we take exponent 4 on both sides
[tex]a=\sqrt[4]{16}\\(a)^4=(\sqrt[4]{16})^4[/tex]
Exponent 4 and fourth root will get cancelled
[tex]a^4=16\\a \cdot a\cdot a \cdot a=16[/tex]
a x a x a x a = 16
A true statement , if a is the fourth root of 16 is
a x a x a x a = 16
learn more about the radicals here:
brainly.com/question/1799883
1. Define transformation using the words preimage and
image.
Answer:
A transformation is when the preimage of a shape is changed in size or shape into a new image
Step-by-step explanation:
Answer: A transformation is the process of manipulating an polygon or an two-dimensional shape or object on a coordinate plane.
Step-by-step explanation: I attached a image for you to see.
Please help me answer this question
9514 1404 393
Answer:
y ≥ 4x
Step-by-step explanation:
We notice the y-values in the table are 4 times the corresponding x-values. Since the table values represent a minimum, the appropriate inequality is ...
y ≥ 4x
Find the area of the composite figure.
Answer:
Step-by-step explanation:
84
Step-by-step explanation:
refer to the above attachment please
19. Use the unit circle to find the value of tan 315º.
Show work pls.
Answer: -1
Step-by-step explanation:
First change tan(315) to:
[tex]\frac{\sin(315)}{\cos(315)}[/tex]
Then evaluate the sine and cosine function. What is the y component of 315 degrees? What is the x component of 315 degrees?
[tex]-\frac{\sqrt{2} }{2} /\frac{\sqrt{2} }{2} =-1[/tex]
A store manager is inspecting two large bags of nuts. In bag A, 35% of the nuts are cashews. In bag B, 40% of the nuts are cashews. She selects a simple random sample of 30 nuts from bag A and a simple random sample of 35 nuts from bag B. What is the approximate probability that the proportion of cashews in the sample from bag A is greater than the proportion of cashews from bag B
Answer:
0.339
Step-by-step explanation:
I need help. Please check this problem for accuracy I turn it in tomorrow.
Answer:
you are 100% correct (^_^)
Step-by-step explanation:
A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. the napkin has a perimeter of 48 centimeters. trigonometric area formula: Area = 1/2abSin(c). To the nearest square centimeter, how many square centimeters of the plate are covered by the napkin? show your work for full credit.
Answer: C.) 56 square centimeters
Step-by-step explanation: