Answer:
0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape
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: Shipped for use
Event B: Perfect shape
Probability of being shipped for use:
Perfect shape(0.9 probability) or unnoticeable dent(0.02 probability). So
[tex]P(A) = 0.9 + 0.02 = 0.92[/tex]
Being shipped for use and being in perfect shape.
0.9 probability, so [tex]P(A \cap B) = 0.9[/tex]
What is the probability that a can that gets shipped for use will be of perfect shape?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.9}{0.92} = 0.9783[/tex]
0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape
X=8
THE DIRECTIONS ARE ON THE TOP
Answer:
y = 40
Step-by-step explanation:
For #7, we are told that y = 10 when x = 2
We are also told that 'y varies directly as x'. That means there is some constant number, k, so that
Formula --> y = kx
Since y=10 and x= 2, we substitute those numbers into the formula.
We get 10 = k × 2.
So k has to be 5, right?
k = 5
So what is y when x = 8?
Use the formula.
y=kx ---> That gives us y = k × 8. But we know k is 5.
So y = 5 × 8 = 40
y = 40
9514 1404 393
Answer:
7. y = 5x; y = 40
8. y = 1/3x; y = 8/3
Step-by-step explanation:
In the direct proportion equation y=kx, the value of k can be found as ...
k = y/x . . . . . divide both sides by x to solve for k
__
7. k = 10/2 = 5
The equation is ...
y = 5x
For x=8, the value of y is found using the equation:
y = 5(8) = 40
__
8. Same deal, different numbers.
k = 6/18 = 1/3
y = 1/3x . . . . . the equation
y = 8/3 . . . . . y for x=8
Find the measure of each angle in the triangle.
A. 30°, 60°, 90°
B. 190, 71°, 90°
C. 26°, 64°, 90°
D. 41°, 49°, 90°
Answer:
C. 26°, 64°, 90°
Step-by-step explanation:
If someone can explain to me step by step please
Answer:
1/36 will be ur ans__________
Answer:
? = 36
Step-by-step explanation:
If you count all the options, there are 36 options/number combinations in all.
However, the only combination that would equal 12 is 6,6
This is because 6 + 6 = 12. No other numbers together would equal 12.
christian has a maximum of 50$ to spend on his school trip a ticket to the theme park cost 27$
Answer:
50 minus 27 is 23 so she has $23 more dollars left?
Step-by-step explanation:
What is the point slope form of the line with slope 2/5 that passes through the point (-4, -7)?
y+7=2/5(x+4)
y-7=2/5(x-4)
y-4=2/5(x-7)
y+4=2/5(x+7)
Answer:
A. y + 7 = 2/5(x + 4)
Step-by-step explanation:
gradient (m) = 2/5(x1, y1) → (-4, - 7)x1 = -4y1 = -7so,
[tex] \rm y - y1 = m(x - x1)[/tex]
[tex] \rm y - ( - 7) = \frac{2}{5} (x - ( - 4))[/tex]
[tex] \boxed{ \rm y + 7 = \frac{2}{5} (x + 4)}[/tex]
62/8
With a remainder
Answer:
7 and 6/8
Step-by-step explanation:
Answer:
Step 1: 8 times what equals the closest number to 62?
Answer: 8*7=56
Step 2: what do you have left oveR?
answer: 6
Step 3: put it together.
ANSWER: 7 with a remander of 6 (7.6)
Step-by-step explanation:
7.6
sorry if it took to long i wanted to show you how to do it so next time you know:)
Brainliest is appreciated:)
Have a great day mate!
A number line going from negative 3 to positive 5. A closed circle is at 2. Everything to the right of the circle is shaded. Which inequality is graphed? 2 < x 2 > x 2 Less-than-or-equal-to x 2 Greater-than-or-equal-to x
Answer:
2 Less-than-or-equal-to x
Step-by-step explanation:
An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion p in the shipment that failed to retain full potency after 60 days of production. Unless there is clear evidence that this proportion is less than 0.05, she will reject the shipment. To reach a decision, she will test the following a large-sample. To do so, she selects an SRS of 200 pills. Suppose that eight of the pills have failed to retain their full potency. The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ___. Round your answer to three decimal places.
Answer:
The sample proportion is p = 0.04.
Step-by-step explanation:
The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ...
Sample of 200 pills.
Eight have failed to retain their full potency.
So the sample proportion is:
[tex]p = \frac{8}{200} = 0.04[/tex]
Which polygon has the most sides?
decagon
20-gon
nonagon
dodecagon
Answer:
decagon = 10
nonagon = 9
dodecagon = 12
Step-by-step explanation:
Answer:
decagon = a plane figure with ten straight sides and angles.
20-gon = In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon's interior angles is 3240 degrees.
nonagon = a plane figure with nine straight sides and nine angles.
dodecagon = a plane figure with twelve sides.
Step-by-step explanation:
does anyone know this
Answer:
1 4/5
Step-by-step explanation:
what is the derivative of secx
Answer:
[tex]\displaystyle \frac{d}{dx}[\sec x] = \sec x \tan x[/tex]
General Formulas and Concepts:
Pre-Calculus
Trigonometric IdentitiesCalculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
*Note:
This is a known trigonometric derivative.
Step 1: Define
Identify
[tex]\displaystyle y = \sec x[/tex]
Step 2: Differentiate
Rewrite [Trigonometric Identities]: [tex]\displaystyle y = \frac{1}{\cos x}[/tex]Derivative Rule [Quotient Rule]: [tex]\displaystyle y' = \frac{(1)' \cos x - 1(\cos x)'}{\cos^2 x}[/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{(0) \cos x - 1(\cos x)'}{\cos^2 x}[/tex]Trigonometric Differentiation: [tex]\displaystyle y' = \frac{(0) \cos x + 1(\sin x)}{\cos^2 x}[/tex]Simplify: [tex]\displaystyle y' = \frac{\sin x}{\cos^2 x}[/tex]Rewrite: [tex]\displaystyle y' = \frac{\sin x}{\cos x} \cdot \frac{1}{\cos x}[/tex]Rewrite [Trigonometric Identities]: [tex]\displaystyle y' = \tan x \sec x[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
PPT HELP !!!!!!!!!!!!11
Answer:
Step-by-step explanation:
a) 1 degrees Celsius (the line matches with that number)
b) -2 degrees Celsius
c) 3.5 degrees Celsius (since its between 3 and 4 its 3.5)
d) -0.5 degrees Celsius
e) the numbers will be going by 5s: (-20,-15,-10,-5, 0, 5, 10, 15, 20, 25)
I hope this makes sense and you understand it :)
Will give the brainiest!
Answer:
With speed of 18 feet per second the distance between the twins change.
Step-by-step explanation:
v1 is 10
v2 is -8
So, the difference is (10)-(-8)
which is 18.
Answer:
The distance of 2 feet with a speed of 10 feet per second.
Solve for x in the figure below
Answer:
x = 6.8
Step-by-step explanation:
7x + 36 = 12x + 2 (alternate interior angles are congruent)
Collect like terms
7x - 12x = -36 + 2
-5x = -34
Divide both sides
-5x/-5 = -34/-5
x = 6.8
1.) 154 × 654 =
2.) 578 × 493 =
3.) 300 × 542 =
4.) 387 × 539 =
5.) 396 × 648 =
Please answer
Answer plz. I'll get my points back if you put something random.
Answer:
D.
Step-by-step explanation:
Because, 60% of 2.50 (the pre-assumed cost of pizza) is 1.50.
In exercises 4-6, a survey reported that 235 of the 500 voters in a sample voted for candidate A and the rest voted for candidate B?
4. What percent of the voters in the sample voted for candidate A? What percent of the voters in the sample voted for candidate B?
5. What is the margin sampling error? Round your answer to the nearest tenth of a percent.
6. For each candidate, give an interval that is likely to contain the exact percent of all voters who voted for the candidate.
7. For #6, can you determine which candidate won? Explain.
4.
Total voters = 500
Number of voters that voted for candidate A = 235
Number of voters that voted for candidate B = 500 - 235 = 265
Percent of voters that voted for candidate A
= 235
500
× 100%
= 23500
500
= 47%
Percent of voters that voted for candidate B
= 265
500
× 100%
= 26500
500
= 53%
5.
Margin sample error = % of candidate B - 5 of candidate A
= 53% - 47%
= -/+ 6%
Margin sample error = + 6.0% or - 6.0%
6.
Candidate A interval
= 47 ± 0.5
= 46.5% or 47.5%
Candidate B interval
= 53±0.5
= 52.5% or 53.5%
7.
Candidate with the highest percentage win.
Therefore, candidate B won
Convert to slope intercept form 4x+5y=-20
Answer:
Slope-intercept form is: y=mx+b. Where m = slope or rise/run & b = y-intercept or where the line crosses the y axis. So for 4x + 5y = 20 the slope intercept form is y = -4x/5 + 4.
Step-by-step explanation:
Answer:
y = -4/5x - 4
Step-by-step explanation:
4x + 5y = -20
-4x -4x
5y = -4x - 20
divide it all by 5
y = -4/5x - 4
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
can someone find the slope intercept equation for this plz thanks ill give brainliest
Answer:
y = -3/4x - 1
Step-by-step explanation:
it is
6th grade math I mark as brainliest
Answer:
B.) For every 8 bows, there are 4 headbands.
Step-by-step explanation:
Answer:
try A B and D
Step-by-step explanation:
Which is equivalent to Square root 10 3/4 x
?
What is length of BC ?
Answer:
BC = 10
Step-by-step explanation:
Since this is an isosceles triangle
AC = BC
3x-5 = 2x
Subtract 3x from each side
3x-5-3x = 2x-3x
-5 = -x
Multiply each side by -1
5 =x
BC = 2x
=2 *5
BC =10
Can somebody please help me with this question
Answer:
An event can have a probability of 3/2 is not true
Step-by-step explanation:
The probability of an event happening is between 0 and 1 inclusive.
A probability of 1 means the event is certain to happen or 100%
You cannot have a probability greater than 1 so
An event can have a probability of 3/2 cannot happen
Which Expression is a factor of 16a2 − 25
Answer:
should be (4a-5)x(4a+5)
Step-by-step explanation:
Convert 20% into a fraction
ANSWER QUICKK
Answer:
1/5.
Step-by-step explanation:
20%
20/100
20/20 / 100/20
= 1/5
---
Hope this helps!
Answer:
20/100 or 1/5
Step-by-step explanation:
Imagine the percent as a lazily drawn 100. For example, 68% would also be 68/100, or simplified to 17/25
hope it helps! :3
62.8 in scientific notation
Answer:
6.28 x 10²
Step-by-step explanation:
first number must be greater than or equal to 1 and less than 10
if you move the decimal to the left you need to increase the power of ten by one for each move
if you move the decimal to the rightt you need to decrease the power of ten by one for each move
An appliance salesperson earned $32.80 in commission for selling a refrigerator for $820. At that rate, how much would the salesperson earn in commission for selling a microwave oven for $340?
Answer:
Salesperson would earn $13.6 in commission for selling a microwave oven for $340.
Step-by-step explanation:
We are given that an appliance salesperson earned $32.80 in commission for selling a refrigerator for $820.
We have to find how much would the salesperson earn in commission for selling a microwave oven for $340.
Firstly, we will the find the rate at which the salesperson gets a commission in % terms.
So, Percentage rate of commission is given by;
Rate of commission=(Commission earned ÷ Selling Price of refrigerator) 100
= = = 4%
Now, this rate will be used to find the commission earned on selling a microwave oven for $340, i.e;
Commission earned for selling a microwave oven = 4% of Selling price of microwave oven
= = $13.6
Therefore, salesperson would earn $13.6 in commission for selling a microwave oven for $340.
3/10 times what equals 1
Answer:
10/3
hope this helps :)
g(x) = 5x - 12x2 + 3
The factor of the function will be (4x - 3) and (3x + 1). The graph of the function is shown below.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The function is given below.
g(x) = 5x - 12x² + 3
Then the function can be written as
g(x) = - 12x² + 5x + 3
Then the factor of the function will be
g(x) = 0
Then we have
- 12x² + 5x + 3 = 0
12x² - 5x - 3 = 0
12x² - 9x + 4x - 3 = 0
(4x - 3)(3x + 1) = 0
x = -0.33 and 0.75
Then the graph of the equation will be given below.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ2
What is the surface area of the rectangular prism below?
Answer:
Step-by-step explanation:
The surface area of a rectangular prism calculator gives us the answer: A = 2 * l * w + 2 * l * h + 2 * w * h = 2 * 8 ft * 6 ft + 2 * 8 ft * 5 ft + 2 * 6 ft * 5 ft = 236 ft² .