Answer:
a) 0.8802 = 88.02% probability that the shipment is accepted
b) 0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.
Step-by-step explanation:
For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of any other item. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20 randomly selected video streaming devices
This means that [tex]n = 20[/tex]
a. Find the probability that the shipment is accepted if 3% of the total shipment is defective.
3% defective means that [tex]p = 0.03[/tex]
Probability of at most 1 defective is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.03)^{0}.(0.97)^{20} = 0.5438[/tex]
[tex]P(X = 1) = C_{20,1}.(0.03)^{1}.(0.97)^{19} = 0.3364[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5438 + 0.3364 = 0.8802[/tex]
0.8802 = 88.02% probability that the shipment is accepted.
b. Find the probability that the shipment is accepted if 15% of the total shipment is defective
Now [tex]p = 0.15[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.15)^{0}.(0.85)^{20} = 0.0388[/tex]
[tex]P(X = 1) = C_{20,1}.(0.15)^{1}.(0.85)^{19} = 0.1368[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0388 + 0.1368 = 0.1756[/tex]
0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.
What is 1.23625 rounded to the nearest cent?
Answer:
1.24
Step-by-step explanation:
Meal A has 130 calories in 2 servings. Meal B has 170 calories in 3 servings. Which meal
has more calories per serving?
pls help and explain why and i’ll give brainly
Answer:
No.
Step-by-step explanation:
The x values (inputs) are used multiple times (the 4 has 2 arrows coming out of it). Only y values can be repeated, but not X values.
If this truly helps you, help me out too, and thank me.
-Xax
Answer:
No
Step-by-step explanation:
A function gives only one output per input, which means an x value can only give one y value. Assuming the right side is f(x) and the left is x:
-4 points to both 12 and 15 which isn't possible for a function
PLEASE HELP ASAP GIVING BRAINLIEST W/ POINTS PLSS
9514 1404 393
Answer:
108 ft²
Step-by-step explanation:
When x=6, the length is 6+6 = 12 ft, and the width is 6+3 = 9 ft. The area is given by ...
A = LW
A = (12 ft)(9 ft) = 108 ft²
The area of Cameron's garden is 108 ft².
Which numbers could be a solution to the inequality? -6 < 3x+ 9 <21
Step-by-step explanation:
-6-9<3x<21-9
-15<3x<12
1) -15<3x
-5<x
2) 3x<12
x<4
so the range of the solution is -5<x<4
Find the surface area of the cylinder. ROUND YOUR ANSWER TO THE NEAREST TENTH. PLEASE I NEED HELP also if anyone can I need the steps:(
Answer:
Area = 87.96
Step-by-step explanation:
what is the slope of the following equation y = -1/2x + 4
Answer:
the slope is -1/2
Step-by-step explanation:
The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?
Answer:
250 girls
Step-by-step explanation:
Boys = Girls
250 = Girls
Suppose 60% of a large group of animals is infected with a particular disease. What is the probability that at least 2 animals are infected in a sample of size 5?
0.0870
0.3174
0.913
0.6826
Answer:
0.6826
Step-by-step explanation:
Probabilities are used to determine the chances of events.
The probability that at least 2 animals are infected is (c) 0.913
The proportion of the animal infected is given as:
[tex]p =60\%[/tex]
The probability is then calculated using the following binomial equation
[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]
In this case,
[tex]n = 2[/tex]
To calculate the probability that at least 2 animals are infected, we start by calculating the probability that not up to 2 animals are infected.
So, we have:
[tex]P(x<2) =P(0) + P(1)[/tex]
This gives
[tex]P(x<2) = ^5C_0 \times (60\%)^0 \times (1-60\%)^{5-0}+ ^5C_1 \times (60\%)^1 \times (1-60\%)^{5-1}[/tex]
Simplify
[tex]P(x<2) = 1 \times (60\%)^0 \times (40\%)^{5}+ 5 \times (60\%) \times (40\%)^{4}[/tex]
[tex]P(x<2) = 0.08704[/tex]
Using the complement rule, we have:
[tex]P(x \ge 2) = 1 - P(x<2)[/tex]
So, we have:
[tex]P(x \ge 2) = 1 - 0.08704[/tex]
[tex]P(x \ge 2) = 0.91296[/tex]
Approximate
[tex]P(x \ge 2) = 0.913[/tex]
Hence, the probability is (c) 0.913
Read more about probabilities at:
https://brainly.com/question/251701
I don’t get this I need help if you get it right I will mark you as brainlest
Answer:
Step-by-step explanation:
5 x 100 + 4 x 10 + 6 x 1 + 2 x ( 1/10) + 8 x ( 1/1000) =?
Answer:
68276/125
Step-by-step explanation:
500+40+6+1/5+1/125
546+26/125
68276/125
Answer:
546.208
Step-by-step explanation:
5
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{\color{#c92786}{5}} \cdot {\color{#c92786}{100}}+4 \cdot 10+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})
5⋅100+4⋅10+6⋅1+2x(101)+8x(10001)
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500+{\color{#c92786}{4}} \cdot {\color{#c92786}{10}}+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})
500+4⋅10+6⋅1+2x(101)+8x(10001)
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500+40+{\color{#c92786}{6}} \cdot {\color{#c92786}{1}}+2x(\frac{1}{10})+8x(\frac{1}{1000})
500+40+6⋅1+2x(101)+8x(10001)
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500+40+6+{\color{#c92786}{2}}x \cdot {\color{#c92786}{\frac{1}{10}}}+8x(\frac{1}{1000})
500+40+6+2x⋅101+8x(10001)
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500+40+6+\frac{1}{5}x+8x(\frac{1}{1000})
500+40+6+51x+8x(10001)
5
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500+40+6+\frac{1x}{5}+8x(\frac{1}{1000})
500+40+6+51x+8x(10001)
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500+40+6+\frac{x}{5}+{\color{#c92786}{8}}x \cdot {\color{#c92786}{\frac{1}{1000}}}
500+40+6+5x+8x⋅10001
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500+40+6+\frac{x}{5}+\frac{1}{125}x
500+40+6+5x+1251x
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500+40+6+\frac{x}{5}+\frac{1x}{125}
500+40+6+5x+1251x
9
Multiply by 1
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500+40+6+\frac{x}{5}+\frac{1x}{125}
500+40+6+5x+1251x
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{\color{#c92786}{500}}+{\color{#c92786}{40}}+{\color{#c92786}{6}}+\frac{x}{5}+\frac{x}{125}
500+40+6+5x+125x
5
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{\color{#c92786}{546}}+\frac{x}{5}+\frac{x}{125}
546+5x+125x
Show less
Solution
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Which model represents the equation 4r = 24
Answer:
FOURTH
Step-by-step explanation:
AHHHHHHHHHHHHHHHHHHH 6 x 4 = 24
x IS 6
The model that represents the equation 4x = 24 is the 4th table.
How to find the model that represents the equation?The model that represents the equation 4r = 24 can be calculated as follows;
4x = 24
where
x is the variable
Therefore, 4x can be represented as follows:
4x = x + x + x + x
Therefore, the model that represents the equation 4x = 24.
learn more on model here: https://brainly.com/question/24371942
#SPJ2
Select the function that is nonlinear.
a
y = 3x - 4
b
y = 2x3 - 10
c
y = 4x -12
d
y = x + 101
Answer:
B
Step-by-step explanation:
A C and D are all linear. The powers on x in all three questions is 1. For example the first answer could be written as y = 3x^1 - 4. C and D are much the same.
So if you are thinking that B must be the answer, you would be right. x is raised to the third power -- or I think that is what is intended. y = x^3 - 10
Pls help I’ll mark brainliest
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
what is the point in mulitplucation
Answer:
its good for life and career choices
Step-by-step explanation:
Multiply the numbers just as if they were whole numbers.
Line up the numbers on the right - do not align the decimal points.
Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.
Add the products.
Please explain how you got the answer!
Answer:
16
Step-by-step explanation:
1250/ 80 = 125/8 ≈ 15.6 rounds up to 16
What is the volume of the composite figure?
Answer
180 inch² bottom / 192 inch²( top)
Step-by-step explanation:
5x3=15
15x12=180
4x4= 16
16x12=192
6 friends are going to a bowling alley. They have to pay a fee per game and $2 to
rent shoes. If they plan on only playing one game, the cost is $48.
Answer:
3
Step-by-step explanation:
Let x be the number of games they bowled.
Then, we know that each shoe rental was $2.50. So, the total cost for shoes was 3 * $2.50 = $7.50
The total number of games they bowled was 3 * x (since there were 3 persons).
Now, the cost per game was $5.30. So, the total cost for games bowled (minus shoes) was:
3x($5.30) = $15.90x
Now, add the cost of the shoes ($7.50) and you have the total cost ($55.20):
$15.90x + $7.50 = $55.20
Subtract $7.50 from both sides:
$15.90x = $47.70
Divide both sides by $15.90:
x = 3 (the number of games they bowled)
Steve sold 36fruit baskets for a school fundraiser. Edie sold 25% of the number of baskets that Steve sold
Answer:
Edie sold 9 fruit baskets
Step-by-step explanation:
Can some help me please thx
Answer:
Look below
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/math/fractions.php
I PROMISE THIS IS NOT A SKETCHY LINK IT TAKES YOU TO A FRACTION CALCULATOR
a. 5
b. 7
c. 9
d. 11
PLEASE HELPPP I WILL GIVE BRILLIANT!!!
Answer:
B : 7
Step-by-step explanation:
The New York Times and CBS News conducted a nationwide poll of 1048 randomly selected 13- to 17-year-olds. We can consider the sample to be a SRS.
a. Of these 1048 teenagers, 692 had a television in their room. Give a 95% confidence interval for the proportion of all people in this age group who had a TV in their room at the time of the poll
b. Of the 1048 teens surveyed, 189 named Fox as their favorite television network. Give a 90% confidence interval for the proportion of all people in this age group who would choose Fox as their favorite network.
c. Suppose you were to change the confidence level in (b) to 95% using the same sample. How would the confidence interval change? No calculations necessary.
a. The confidence interval would be the same width but shifted to the left
b. The confidence interval would be the same width but shifted to the right
c. The confidence interval would have the same center but be wider
d. The confidence interval would have the same center but be narrower
Pls answer I got 15 points and omg pls be correct
Answer:
$119.79
Step-by-step explanation:
Formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Given:
P = 90
r = 0.1
t = 3
n = 1
Work:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=90(1+\frac{0.1}{1} })^{3*1}\\\\A=90(1.1)^3\\A=90(1.331)\\A=119.79[/tex]
How many almonds in the cup? (1/4 cup) Help me
Answer:
The amount of almonds in the fourth cup are 40
Jeremy has a stand in the farmer's market where he sells strawberries by the pound. The table shows the weights of the strawberries and the prices per quantity. The relationship between the amount of strawberries in pounds and the price is a proportional relationship.
Which statement is true?
A.)The table does not represent a proportional relationship because the differences between consecutive terms in each column do not have the same ratio.
B.)The table does not represent a proportional relationship because the ratio between the price column and the weight column is not the same for each row.
C.)The table represents a proportional relationship because the differences between consecutive terms in each column have the same ratio.
D.)The table represents a proportional relationship because the ratio between the price column and the weight column is the same for each row.
find the length of the third side of triangle if its midline measures 45cm
Answer:
20 cm is the length of third side of triangle
Step-by-step explanation:
Length of 1st side = a
Length of 2nd side = 10cm = b
Length of 3rd side = 15cm = c
So,
Perimeter of triangle = 45 cm
a+b+c = 45cm
a + 10 + 15 = 45 cm
.'. a = 45-25 cm
= 20 cm
The midline or midsegment has a length equal to half of the third side.
Therefore, the length of the third side is 45 cm × 2 = 90 cm.
Response:
The length of the third side is 90 cmWhich theorem can be used to find the length of the third side?Given:
The length of the midline = 45 cm
Required:
The length of the third side
Solution:
The midline is the line joining the midpoint of two sides of a triangle.
According to the midsegment theorem, the midline of a triangle is
parallel to the third side and has a length equal to half the length of the
third side.
Which gives;
The length of the mid line = [tex]\mathbf{\frac{1}{2}}[/tex] × The length of the third side
Let x represent the length of third side, we have;
45 = [tex]\frac{1}{2}[/tex] × x
Which gives;
The length of the third side, x = 2 × 45 cm = 90 cm
Learn more about the midsegment theorem here:
https://brainly.com/question/24600215
fill in the blanks with the correct missing term of each given sequence
8,11,_,17,20
Answer:
14 i think
Step-by-step explanation:
im not that sure but yeah
My question... please answer asap
Answer:
slope=1/4
y-intercept=3
y=.25x+3
Step-by-step explanation:
slope=rise over run so
slope=1/4
y-intercept is the value of y where the line crosses the y axis..
y-intercept=3
In y=mx+b form m is slope and b is y-intercept so...
y=.25x+3
Tutoring Question Help
A person is taking a 5-question multiple-choice test for which each question has three answer choices, only one of which is correct. The person decides on answers by
rolling a fair die and marking the first answer choice if the die shows 1 or 2 the second if it shows 3 or 4, and the third if it shows 5 or 6. Find the probability that the
person gets fewer than 3 correct answers.
The probability that the person gets fewer than 3 correct answers is
(Round to three decimal places as needed.)
I need some help with my grade 10 math work
A music store had a sale on tapes and CDs. Tapes were on sale for $5 each and CDs were on sale for $7. During the sale, 32 tapes and CDs were sold. The cash receipts from the sale of the tapes and CDs, before taxes, were $200. Let x represent the number of tapes and let y represent the number of CDs sold during the sale.
Answer:
12 tapes and 20 CDs were sold.
Step-by-step explanation:
Since a music store had a sale on tapes and CDs, and tapes were on sale for $ 5 each and CDs were on sale for $ 7, and during the sale, 32 tapes and CDs were sold, and the cash receipts from the sale of the tapes and CDs, before taxes, were $ 200, to determine the number of CDs and tapes sold during the sale, the following calculation must be performed:
7 - 5 = 2
32 x 5 = 160
200 - 160 = 40
40/2 = 20
32 - 20 = 12
12 x 5 + 20 x 7 = X
60 + 140 = X
200 = X
Therefore, 12 tapes and 20 CDs were sold.