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Travka [436]
3 years ago
9

The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample

of 83 units made with gold wire, 70 met the specification, and in a sample of 115 units made with aluminum wire, 98 met the specification. Find a 99% confidence interval for the difference in the proportions of units that meet the specification between units with gold wire and those with aluminum wire.

Mathematics
1 answer:
mars1129 [50]3 years ago
8 0

Answer:

The formula for the lower and upper bounds for a confidence interval for the difference between to proportions is given in the picture.

In this case the p1 is going to be the proportion of units of gold wire that met the specification. p2 is going to be the proportion of aluminum wire that met the specification. The z for a 99% confidence interval is going to be 2. 575. n1 is going to be the total number of units of gold wire sampled and n2 is going to be the total number of units of aluminum wine sampled.

p1 = 70/83 = 0.843

p2 = 98/115 = 0.852

The difference between them is 0.009.

The value of the square root that is multiplying the z is: 0.052

The lower bound is going to be -0.043

the upper bound is going to be 0.061

The confidence interval is:

( -0.043, 0.061 )

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There are nickles and quarters worth $2.20 in total. If there are 28 coins, how many nickels are there?
Eduardwww [97]
Answer:

There are 24 nickels

Step-by-step explanation:

Let x represent the number of nickels

Let y represent the number of quarters
—————————————————————

Value Value
Type Number of of
of of each all
Coin Coin Coin Coin
—————————————————————
Nickels | x | $0.05 | $0.05x
Quarters | y | $0.25 | $0.25y
—————————————————————
Totals 28 ——— $2.20
•••••••••••••••••••••••••••••••••••••••••••••••••

The first equation comes from the “Number of coins” column.

(Number of nickels) + (Number of quarters) = (total number of coins)

Equation: x + y = 28
—————————————————————
The second equation comes from the “value of all coins” column.

(Value of all nickels) + (Value of all quarters) = (Total value of all coins)

0.05x + 0.25y = 2.20

Remove the decimals by multiplying each term by 100:

5x + 25y = 220
—————————————————————
So we have the system of equations:

{x + y = 28
{5x + 25y = 202

Solve by substitution. Solve the first equation for y:

x + y = 28
y = 28 - x

Substitute (28 - x) for y in 5x + 25y = 220

5x + 25 (28 - x) = 220
5x + 700 - 25x = 220
-20x + 700 = 220
-20x = -480
x = 24

The number of nickels is 24.
————————————————————
Substitute in y = 28 - x
y = 28 - (24)
y = 4

The number of quarters is 4.
————————————————————
Checking:

24 nickels is $1.20 and 4 quarters is $1.00
That’s 28 coins.
Indeed $1.20 + $1.00 = $2.20
————————————————————

6 0
3 years ago
Are there any integers between 0 and 1? explain?
Ulleksa [173]
No. there are no integers between 0 and 1 because integers are the numbers which don't have any fractions and decimals. between 0 and 1 only decimals and fractions are present
7 0
3 years ago
Read 2 more answers
The table shows the outputs, y, for different inputs, x:
Vlad1618 [11]
<span>The table shows the outputs, y, for different inputs, x:

Input (x)     1   3   5   7
Output (y)  8   6   5  4

Part A: Do the data in this table represent a function? Justify your answer. (3 points)

Yes, the data in the table represent a function. The reason is that given an input (value of x), in the domain of the function (which is 1, 3, 5, 7), you can state the correspondant output (value of y) without ambiguity.

Part B: Compare the data in the table with the relation f(x) = 4x + 8. Which relation has a greater value when x = 3? (2 points)

x = 3 => f(3) = 4(3) + 8 = 12 + 8 = 20

While the image of 3 in the data is y = 6.

So, the function f(x) = 4x + 8 has a greater value when x = 3.

Part C: Using the relation in Part B, what is the value of x if f(x) = 76? Be sure to show all your work.

f(x) = 76 = 4x + 8 => 4x = 76 - 8 = 68

=> x = 68/4 = 17
</span>
3 0
3 years ago
Erin received the following scores on her last four spelling tests.
Helen [10]
I'm not sure what you do with the whole numbers but 0.8 is 80% and 82% is higher than 80% so its not 0.8
4 0
3 years ago
The volume of this cone is 602.88 cubic inches. What is the radius of this cone?
choli [55]

Answer:

8

Step-by-step explanation:

Volume of a cone formula: V = \pi r^{2} \frac{h}{3}

where,

h is the height             <u>9 in  (assuming)</u>

r is the radius              <u>want</u>

v is the volume           <u> 602.88 cubic inches</u>

\pi is                              <u>a = 3.14 </u>

Plug in everything:

602.88 = 3.14r^{2} (\frac{9}{3} )\\602.88 = 3.14r^{2} (3)\\1808.64 = 28.26r^{2}\\\frac{1808.64}{28.26} = \frac{28.26r^{2}}{28.26} \\r^{2} = 64\\r = \sqrt{64} \\r = 8\\or\\r =-8

8 0
2 years ago
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