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vaieri [72.5K]
3 years ago
10

Tensile strength tests were performed on two different grades of aluminum spars used in manufacturing the wing of a commercial t

ransport aircraft. From past experience with the spar manufacturing process and the testing procedure, the standard deviations of tensile strengths are assumed to be known. The data obtained are as follows:
n_1 = 10
x_1 = 87.6
σ_1 = 1
n_2 = 12
x^2 = 74.5
σ_2 = 1.5.

Required:
If μ _1 and μ _2 denote the true mean tensile strengths for the two grades of spars. Construct a 90 percentage confidence interval on the difference in mean strength.
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

(12.141, 14.059)

Step-by-step explanation:

Explanation is provided in the attached document.

Download docx
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AlexFokin [52]
Because of its negatives
7 0
2 years ago
Pierre wants to make tables and chairs. He has a total of 220 wooden boards and 760 nails. 13T+8C≤220 represents the number of t
Alisiya [41]

Answer:

Pierre has enough boards and nails to make 9 tables and 5 chairs.

Step-by-step explanation:

13T+8C ≤ 220

Let us substitute 9 for T and 5 for C and check.

13(9) + 8(5) = 117 + 40

= 157 < 220

So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.

48T+37C ≤ 760

Substitute 9 for T and 5 for C.

48(9)+37(5) = 432 + 185

= 617 < 760

So, 760 nails are sufficient to make 9 tables and 5 chairs.

Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.

3 0
2 years ago
Assume that in October of a particular year about 215 billion text messages were sent or received in the US, and the prediction
Julli [10]

Answer:

There will be 243 billion messages sent or received in November.

Step-by-step explanation:

Given.

Number of text messages sent or received =215 billion.

Increment on the very next month =13\%=\frac{13}{100}=0.13

Lets find what is 13\%\ of\ 215

 ⇒13\%\ of\ 215

 ⇒0.13\times 215=27.95

So we will add this value to our previous months data.

Now

Number of text messages sent in the month of November =(27.5+215)=242.95 billion.

Rounding to the nearest tenth the answer will be 243 billion.

So 243 billion text messages were sent or received in November.

5 0
3 years ago
A ball is hurled in the air such that its horizontal (x) and vertical (y) shifts are given by the functions x(t) = 20t and y(t)
Viefleur [7K]

x(t) = 20t

y(t) = 40t - 5t^2

Since we are only interested in comparing the two at time t = 5 seconds, we plug in 5 everywhere we see the variable t and then compare x and y

x(5) = 20(5) becomes x(5) = 100

y(5) = 40(5) - 5(5)^2 becomes y(5) = 200 - 125 and then y(5) = 75

The ratio of y to x can be expressed as: y/x, so we can say the ratio is equal to 75/100 or 0.75

Answer: 0.75

7 0
3 years ago
On a coordinate plane, 2 lines intersect around (0.4, 2.8). The graph on the left represents a system of equations. How can the
kompoz [17]

Answer:

How can the solution be located?

find the intersection

Which integers is the x-coordinate between?

0 and 1

Which integers is the y-coordinate between?

2 and 3

What is the solution approximated to the tenths place?

(0.4,2.8)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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