MATHEMATICS HIGH SCHOOL

Given a normal distribution with a mean of 50 and a standard deviation of 4, 5% of the values are less than what value?

Answers

Answer 1

Answer:

Answer:

15.5

Step-by-step explanation:

Answer 2

Answer:

Final answer:

In a normal distribution with a mean of 50 and standard deviation of 4, 5% of the values would be less than 43.42.

Explanation:

In a normal distribution, 5% of the values being less than a certain value corresponds to a z-score of -1.645. The formula for a z-score is Z = (X - μ)/σ, where Z is the z-score, X is the value in the dataset, μ is the mean, and σ is the standard deviation.

To solve for X, we use the formula X = Z*σ + μ. Substituting the values for Z (-1.645), σ (4), and μ (50), it gives:

X = (-1.645)*4 + 50 = 43.42

So, in a normal distribution with a mean of 50 and a standard deviation of 4, approximately 5% of the values would be less than 43.42.

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Which of these professionals most directly uses geometry? Choose the best answer.

Answers

A carpenter because they have to find the length and more which takes a very long time trust me

What is the value of i^97 - i

Answers

$if\ i\ is\ the\ imaginary\ unit\ (i=√(-1)\Rightarrow i^2=-1):\n\ni^(97)-i=i(i^(96)-1)=i(i^(48\cdot2)-1)=i[(i^2)^(48)-1]=i[(-1)^(48)-1]\n\n=i(1-1)=i\cdot0=0\n\ntherefore\ \boxed{i^(97)-i=0}$

this can also be explained as b on edg

A map has a scale of 1 cm : 11.5 km. Two cities are 5.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?A. 74.8 km

B. 120.8 km

C. 68.8 km

D. 63.3 km

Answers

The actual distance between the two cities corresponding to the mapdistance is 63.3 km. Then the correct option is D.

What is the distance?

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

The length is calculated as:-

1 cm: 11.5 km

5.5 cm: 5.5 x 11.5 km

5.5 cm : 63.3 km

The distance between the two cities is 63.3 km.

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Answer:

the answer is 63.3 km

If line d intersects plane f, then how many points on line d also lie on plane f?

Answers

Answer:

One point

Step-by-step explanation:

Given information: line d intersects plane f.

Plane: In mathematics, a flat, 2D surface that extends infinitely far is know as plane.

Line: A line of infinite number of points that extends infinitely in two directions is know as line.

In 3D, a line can be parallel to the plane, lie on the plane and intersect then plane.

(a) If line is parallel, then no point on the line lie on the plane.

(b) If line is on the plane, then infinite points on the line also lie on the plane.

It is given that line d intersects plane f.

If line d intersects plane f, then only 1 one point on line d also lie on plane f.

i think the answer would be one point

Three scenarios are given in parts a through c below. For each scenario, determine the sampling method used by the managers. a) The managers select a single branch at random and survey every employee of that branch. A. The managers used a systematic sample. B. The managers used a multistage sample. C. The managers used a cluster sample. D. The managers used a stratified sample. E. The managers used a simple random sample. b) The managers use the company e-mail directory to contact every 3030th employee on the list. Choose the correct sampling method below. A. The managers used a cluster sample. B. The managers used a multistage sample. C. The managers used a stratified sample. D. The managers used a systematic sample. E. The managers used a simple random sample. c) The managers split the company into divisions, with each division containing employees that have similar jobs. Within each division, they select a SRS of employees to contact. Choose the correct sampling

Answers

Answer:

1. C. The managers used a cluster sample

2. B)The managers used a systematic sample.

3. The managers used a stratified sample.

Step-by-step explanation:

1. In a cluster sampling method, the population would be divided into several small units called cluster by the researcher. Within these clusters we randomly pick one or more to observe.

2. In systematic sampling we select elements from an ordered sampling frame.

3. In stratified sampling, the population is divided into several stratas and the researcher then selects randomly to complete the sampling process

Find the lateral area the regular pyramid.

L. A. =

Answers

we have a formula to find the lateral surface area of regular pyramid.

$L.A=12.P.L$

$P$ is the perimeter of the base of regular pyramid

$L$ is the slant height .

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