Samples of laboratory glass are in small, light packaging or heavy, large packaging. Suppose that 2% and 1% of the sample shipped in small and large packages, respectively, break during transit. If 58% of the samples are shipped in large packages and 42% are shipped in small packages, what proportion of samples break during shipment

Answers

Answer 1

Answer:

Total proportion of samples that break during shipment [tex]1.42[/tex] %

Step-by-step explanation:

Let the total number of glasses shipped is equal to [tex]100[/tex]

[tex]58[/tex] % of the glasses are shipped in large packets [tex]\frac{58}{100}*100 = 58[/tex]

[tex]42[/tex] % of the glasses are shipped in small packets [tex]\frac{42}{100}*100 = 42[/tex]

Number of broken glasses in small package [tex]= \frac{2}{100} * 42 = 0.84[/tex]

Number of broken glasses in large package [tex]= \frac{1}{100} * 58 = 0.58[/tex]

Total proportion of samples that break during shipment

[tex]\frac{0.84 + 0.58}{100} *100 = 1.42[/tex] %


Related Questions

use the two points and the line to find the y-intercept

a. (-1, -1)
b. (-2, -6)
c. (- 3/4, 0)
d. (0, 4)​

Answers

Answer:

0,4, That is the y intercept.

Step-by-step explanation:

Hope I helped :)

What are the coordinates of point A?

(8, –6)
(–6, 8)
(–5, 7)
(7, –5) marking brainiest

Answers

Answer:

Can you add an image of the points on a graph so I can help?

Aspen has 10 pairs of white socks and 1 pair of red socks. What is the chance that Aspen wears a pair of black socks?

Answers

Answer:

no chance

Step-by-step explanation:

he doesn't have any black socks

Answer:

Step-by-step explanation:

Of the ten socks,

10/11 chance of wearing white socks

1/11 chance of wearing red socks

0/11 chance of wearing any OTHER color

Black socks fall into the final row, which is the OTHER color, meaning there is no chance he can wear black socks.

Drew bakes a casserole for 25 5/12 minutes. He decides it needs to bake longer. He bakes it for another 2 3/6 minutes. How long does the casserole bake altogether?

Answers

Answer:

add more detail then i can answer

Step-by-step explanation:

I think the answer is 27 11/12 minutes.

5.7 is increased to 7.8
What is the percentage of increase?

Answers

Answer:

7.8%

Step-by-step explanation:

Answer:

The percentage of increase is 37%

Step-by-step explanation:

The way to find the percentage of increase is to divide The difference between the two numbers by the number before the increase

7.8 - 5.7 = 2.1

The difference between 7.8 and 5.7 is 2.1

So now we divided 2.1 by the number before the increase, in this case, 5.7

2.1 ÷ 5.7 = 0.3684

0.3684 rounded to the nearest hundredth is 0.37

Thus the percentage of increase is 37%

i need help with this ​

Answers

The answer is negative eight(-8)

Select all that apply.
Which graphed lines represent direct variation functions?

line a
line 6
linec
lined

Answers

Answer:

C and D

Step-by-step explanation:


Find the area of the figure shown below and choose the appropriate result.
4 cm
6 cm
5 cm
3 cm

Answers

the answer is 39 cm^2


i did 6 • 4, then 5 • 3, and then added


hope this helps,, have a nice day :))

Which is greater, 0.28 or 0.205? Explain how you know.

Answers

Answer:

Step-by-step explanation:

0.28 is roughly the same as 0.280, which has 3 significant digits (same as 0.205 has 3 significant digits).  It's easier when we compare numbers having the same number of decimal places.

Comparing 0.280 to 0.205, we see that the hundredths place of 0.280 (which is 8) is greater than the hundredths place of 0.205 (which is 0).  Thus 0.28 is greateer than 0.205.

ice cream is served for dessert if Gio serves himself and 3 friends half a cup of ice cream how many total pints did Gio and his friends eat?

Answers

Answer:

0.25 pints

Step-by-step explanation:

To find how many pints they ate, find the number of pints in half a cup.

In 1 cup, there are 0.5 pints.

This means in half a cup, there will be 0.25 pints.

So, Gio and his friends ate 0.25 pints

The expression 2 ( 3m + 6) is equivalent to ....
5m + 2
5m + 8
6m + 6
6m + 12


Help....

Answers

Answer:

2(3m + 6)= 2 × 3m + 2 × 6

= 6m + 12

Find the circumference of a circle that has a diameter of 5 inches. Use 22/7 for pi.
15 in.
22/35 in.
15 3/7 in.
15 5/7 in.

Answers

Answer:

step 1. The circumference (c) of a circle is equal to the diameter of a circle x pi. c = d(pi) = 5pi

step 2. c = 5pi = 5(22/7) = 110/7 = 15 5/7.

The population of a city has increased by 15% since it was last measured. If the current population is 64,400 what was the previous population

Answers

about 50 000 i think

Answer:

73600

Step-by-step explanation:

Add

Plsss help mee quickkk !!

Answers

Answer:

2.5 overtime hours

Step-by-step explanation:

90$+195$=285

390-285=105$

105/42=2.5 overtime hours

Answer:

h=2.5 hours

Step-by-step explanation:

take the 30x3=90 then 195-90= 105 finally, divide 105 and 42 to get 2.5 hours!

30x3

195-90

105/2.5

hope this helps!

How to divide 8 by 3 the long way

Answers

The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.

Answer:

The steps are more or less the same, except for one new addition:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat

Step-by-step explanation:

The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.

a system of equations is shown on the graph below. what is the solution to the system of equations?

Answers

Answer:

Step-by-step explanation:

solution is the point of intersection, (0,1)

Solution of the system of equations is, (0, 1)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A system of equations is shown on the graph.

Now, We have seen that;

Both the graph intersect at a point (0, 1), which is solution of the graph.

Hence, Solution of the system of equations is, (0, 1)

Thus, Solution of the system of equations is, (0, 1)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Please help please please

Answers

Answer:

C. y = 2x + 8

Step-by-step explanation:

✔️First, find the slope of the line that goes through points (-2, 4) and (6, 20):

Slope (m) = ∆y/∆x = (20 - 4) / (6 - (-2))

Slope (m) = 16/8

m = 2

✔️Find the y-intercept (b):

To do this, substitute (x, y) = (6, 20) and m = 2 into y = mx + b

Thus:

20 = 2(6) + b

20 = 12 + b

20 - 12 = b

8 = b

b = 8

✔️Write the equation by substituting m = 2 and b = 8 into y = mx + b

Thus:

y = 2x + 8

Which polynomial is prime?
X4 + 3x2 - y2 - 3
X4 - 3x2 – x2 + 3
3x2 + x - 6x-2
3x2 + x - 6x + 3

Answers

Answer:

3x2 + x - 6x + 3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got it right on Edg.

1. Escribe dos semejanzas dadas en la estructura de la
circunferencia y la elipse.​

Answers

Un círculo es una forma curva cerrada que es plana. Es decir, existe en dos dimensiones o en un plano. En un círculo, todos los puntos del círculo están igualmente lejos del centro del círculo. Una elipse también es una forma curva cerrada que es plana.

~~Espero que esto ayude~~

a license plate that has 3 numbers from 0 to 9 and 2 letters ​

Answers

Answer:

what's the question there

find the slope of the line​

Answers

Answer:

1/2

Step-by-step explanation:

(2,1)(4,2)

x1-y1/x2-y2

slope:m=1/2

If the sum of 20 numbers is 440, find the mean of the numbers.

Answers

Answer:

22

Step-by-step explanation:

mean= sum of observations/no: of observations

mean=440/2=22

please mark me brainliest

The mean is 22. You divide 440(the sum) by 20(the amount of numbers) to get the answer.

HELP PLEASE





ARM SPAM (INCHES) HEIGHT (INCHES)
58 60
49 47
51 55
19 25
37 39
44 45
47 49
36 35
41 40
46 50
58 61
65 68




1. Which variable did you plot on the x-axis and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.


2. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.


3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?


4. Test the residuals of two other points to determine how well the line of best fit models the data.




5. Use the line of best fit to help you to describe the data correlation.

6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?


7. According to your line of best fit, what is the arm span of a 74-inch-tall person?

Answers

Step-by-step explanation:

we have to write all things by which which x-axis is viraivil with you and y axis is variable with you and spleen in our right one formula X is equals to X is equals to y y - behind honey bunny i y is equals to x minus b right and right that formula and write if you don't know and I will tell you another this video is it was thank you so much

Assume a test for a disease has a probability 0.05 of incorrectly identifying an individual as infected (False Positive), and a probability 0.01 of incorrectly identifying an individual as uninfected (False Negative). Assume furthermore that the probability of an individual being infected is 0.000001 (1 in 1 million). If a person tests positive for this disease, what is the probability of actually having the disease

Answers

Answer:

0.00002 = 0.002% probability of actually having the disease

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: Positive test

Event B: Having the disease

Probability of having a positive test:

0.05 of 1 - 0.000001(false positive)

0.99 of 0.000001 positive. So

[tex]P(A) = 0.05*(1 - 0.000001) + 0.99*0.000001 = 0.05000094[/tex]

Probability of a positive test and having the disease:

0.99 of 0.000001. So

[tex]P(A \cap B) = 0.99*0.000001 = 9.9 \times 10^{-7}[/tex]

What is the probability of actually having the disease

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{9.9 \times 10^{-7}}{0.05000094} = 0.00002[/tex]

0.00002 = 0.002% probability of actually having the disease

a) Let P(t) be written as
P(t) = a cos[b(t - d)] + c
The minimum Pmin and the maximum Pmax of P(t) are given.
Pmin = 4
Pmax = 20
c = (Pmax + Pmin) / 2 = (20 + 4) / 2 = 12
|a| = (Pmax - Pmin) / 2 = (20 - 4) / 2 = 8
We now need to find the number of days t after January 1st at which P(t) is maximum by counting the days of the months from January to May and adding 21 days in June.
t = 31 + 28 + 31 + 30 + 31 + 21 = 172
We now use the period to find b (b > 0) as follows
period = 365 = 2π / b
hence b = 2π / 365
A cosine function without shift has a maximum at t = 0. P(t) has a maximum at t = 172. We can model P(t) by a cos(x) function shifted by 172 to the right as follows:
P(t) = 8 cos[(2π / 365)(t - 172)] + 12
check that P(t) is maximum at t = 172: P(172) = 8 cos[(2π / 365)(172 - 172)] + 12 = 8 cos[(0)] + 12 = 20
b) The graph of P(t) is shown below.

Answers

Answer:

perfect

Step-by-step explanation:

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Answer:

B is the answer

Step-by-step explanation:

not staright line so not linear. but it is a function

Answer:

Step-by-step explanation:

it is non-linear; function

Hello, happy Friday, I am just here with some geometry questions.

Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!

What is x? and how did you get it?

Answers

Answer:

x = 16

Step-by-step explanation:

step 1 - 64 + 100 + x = 180 (all triangles equals 180)

step 2 - 164 + x = 180

step 3 - 164 + x = 180

-164. -164

step 4 - 180 - 164 = 16

step 5 - 100 + 64 + 16 = 180

(I do this part to double check my work)

step 6 - x = 16

Answer:

x = 48

Step-by-step explanation:

The ratio:

x/64 = (100 - 64)/xx² = 64*36x = 48

10 Six years ago Jon was one-sixth the age of his mother
and in four years time his age doubled and increased
by 10 will match his mother's age. How old is Jon
now?​

Answers

Answer:

Jon is 11 years old

Step-by-step explanation:

We write the following equations describing the sentences of the problem, using the letter M to represent Jon's mom's current age, and j to represent his current age.

First sentence: "Six years ago Jon was one-sixth the age of his mother."

translates into:

J - 6 = (M - 6) / 6

Second sentence: "in four years time his age doubled and increased

by 10 will match his mother's age."

2 * (J + 4) + 10 = M + 4   which removing parentheses gives: 2 J + 18 = M + 4

We solve for "M" in the first equation

6 (J - 6) = M - 6

6 J - 36 = M - 6

M = 6 J - 30

and now use this result to substitute for M in the second equation

2 J + 18 = (6 J - 30) + 4

and work on solving for J

2 J + 18 = 6 J - 30 + 4

18 + 26 = 6 J - 2 J

44 = 4 J

J = 44 / 4

J = 11

(x^2 - 4)(x^2 + x - 12) = 0

Answers

Answer:

is that a T or F

Step-by-step explanation:

complete the equation ×1/12=5/12+5/12+5/12​

Answers

Answer:

x/12=15/12

x=15it is the answer

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