Integers that are not whole numbers

The net of a square pyramid is shown

Wewaii [24]

Answer:

Option (D)

Step-by-step explanation:

Surface area of a square pyramid is determined from the formula,

Surface area = Area of the square base + 4(Area of one lateral triangular side)

Area of the base = (Side)²

= 8²

= 64 cm²

Area of one lateral triangle = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(8)(8)$

= 32 cm²

Therefore, surface area of the square pyramid = 64 + 4(32)

= 64 + 128

= 192 cm²

Therefore, Option (D) will be the correct option.

3 0

2 years ago

A Travel Weekly International Air Transport Association survey asked business travelers about the purpose for their most recent

siniylev [52]

Answer:

(a) P (p' > 0.25) = 0.

(b) P (0.15 < p' < 0.20) = 0.7784.

(c) P (133 < X < 171) = 0.2205

Step-by-step explanation:

Let p = proportion of business trip that were for internal company visit.

It is provided that 19% responded that it was for an internal company visit, i.e.

p = 0.19.

A sample of n = 950 business travelers are randomly selected.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

Thus, the distribution of $\hat p$ is N (μ = 0.19, σ = 0.013).

(a)

Compute the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:

P (p' > 0.25) = P (Z > 4.62) = 0

*Use a z-table for the probability.

Thus, the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.

(b)

Compute the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:

P (0.15 < p' < 0.20) = P (-3.08 < Z < 0.77)

= P (Z < 0.77) - P (Z < -3.08)

= 0.7794 - 0.0010

= 0.7784

*Use a z-table for the probability.

Thus, the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.7784.

(c)

Compute the proportion of X = 133 and X = 171 as follows:

p' = 133/950 = 0.14

p' = 171/950 = 0.18

Compute the value of P (0.14 < p' < 0.20) as follows:

P (0.14 < p' < 0.18) = P (-3.85< Z < -0.77)

= P (Z < -0.77) - P (Z < -3.85)

= 0.2206- 0.0001

= 0.2205

*Use a z-table for the probability.

Thus, the probability that between 133 and 171 of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.2205.

7 0

3 years ago

Hiii please help i’ll give brainliest if you give a correct answer and maybe explain thankss

kvasek [131]

Answer:

one mile would it take 4 minutes and Lynn would be able to ride 1/4 of a mile in one minute

3 0

2 years ago

The temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 1000 a

NeX [460]

Answer:

b. 2.28%.