What is the nth term of the sequence 3 , 4.5 , 6 , 7.5

The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1750 pounds, and a standard deviation of

AlladinOne [14]

Answer:

We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.

Step-by-step explanation:

The null and alternative hypotheses are stated as

H0: u ≥ 1750 i.e the mean is less and equal to 1750

against the claim

Ha: u > 1750 ( one tailed test) the mean is greater than 1750

Sample mean = x`= 1754

Population mean = u = 1750

Population deviation= σ = 65 pounds

Sample size= n = 100

Applying the Z test

z= x`- u / σ/ √n

z= 1754- 1750 / 65/ √100

z= 4/6.5

z= 0.6154

The significance level alpha = 0.1

The z - value at 0.1 for one tailed test is ± 1.28

The critical value is z > z∝.

so

0.6154 is < 1.28

We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.

8 0

3 years ago

How many cubes with side lengths of

Bad White [126]

question:

How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism?

Step-by-step explanation:

81 cubes are needed to fill the prism

Step-by-step explanation:

Volume of prism = 3 cubic units

Side lengths of cube = 1/3

Therefore the volume of the cube is,

V = a³ (a = side of the cube)

V = 1/3 × 1/3 × 1/3

= ( 1/3 )³

= 1/27 cubic units

To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.

Number of cubes to fill the prism= Volume of prism / Volume of cube

= 3÷1/27

=3×27/1

= 81

Therefore, 81 cubes are needed to fill the prism

5 0

3 years ago

The following are the annual salaries of 15 chief executive officers of major companies. (The salaries are written in thousands

Alisiya [41]

Answer:

The 25th percentile is 248.

The 70th percentile is 700.

Step-by-step explanation:

The pth percentile is a data value such that at least p% of the data-set is less-than or equal to this data value and at least (100-p)% of the data-set are more-than or equal to this data value.

Arrange the data set in ascending order as follows:

S = {75 , 157 , 224 , 248 , 271 , 381 , 472 , 495 , 586 , 676 , 700 , 723 , 743 , 767 , 1250}

The formula to compute the position of the pth percentile is:

$p^{th} \text{Percentile}=\frac{(n+1)\cdot p}{100}$