Carols pencil is 18 centimeters long .How many millimeters long is the pencilCarol Spencer is 18 cm long how many millimeters long is the pencil

Answers

Answer 1

Answer: 1 centimeter is 10 milimeters so when you multiply 18 times 10=180

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he amount of time people spend exercising in a given week follows a normal distribution with a mean of 3.8 hours per week and a standard deviation of 0.8 hours per week. i. Which of the following shows the shaded probability that a person picked at random exercises less than 2 hours per week? a. b. ii. What is the probability that a person picked at random exercises less than 2 hours per week? (round to 4 decimal places) iii. Which of the following shows the shaded probability that a person picked at random exercises between 2 and 4 hours per week? a. b. iv. What is the probability that a person picked at random exercises between 2 and 4 hours per week? (round to 4 decimal places)

Answers

Answer:

Step-by-step explanation:

Let X denote the amount of time spending exercise in a given week

Given that X normal (3.8, (0.8)²)

Thus we know that

$Z= (x-3.8)/(0.8) N(0,1)$

i)P [ amount of time less than two hour ]

= P[x < 2]

ii)

$P [x < 2]=P[(x-3.8)/(0.8) < (2-3.8)/(0.8) ]\n\n=P[z<-2.25]$

= P[z > 2.25] ∴ symmetric

= P[0 ≤ z ≤ ∞] - P[0 ≤ z ≤ 2.25]

= 0.5 - 0.48778

= 0.0122

iii)

P[2 < x < 4]

Answer:

i) Check attached image.

ii) P(x < 2) = 0.0122

iii) Check attached image.

iv) P(2 < x < 4) = 0.5865

Step-by-step explanation:

This is a normal distribution problem with

Mean = μ = 3.8 hours per week

Standard deviation = σ = 0.8 hours per week

i) The probability that a person picked at random exercises less than 2 hours per week on a shaded graph?

P(x < 2)

First of, we normalize/standardize the 2 hours per week

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (2.0 - 3.8)/0.80 = -2.25

The probability that someone picked at random exercises less than 2 hours weekly is shown in the attached image to this question.

P(x < 2) = P(z < -2.25)

ii) To determine the probability that someone picked at random exercises less than 2 hours weekly numerically

P(x < 2) = P(z < -2.25)

We'll use data from the normal probability table for these probabilities

P(x < 2) = P(z < -2.25) = 0.01222 = 0.0122 to 4 d.p

iii) The probability that a person picked at random exercises between 2 and 4 hours per week on a shaded graph?

P(2 < x < 4)

We then normalize or standardize 2 hours and 4 hours.

For 2 hours weekly,

z = -2.25

For 4 hours weekly,

z = (x - μ)/σ = (4.0 - 3.8)/0.80 = 0.25

The probability that someone picked at random exercises between 2 and 4 hours weekly is shown in the attached image to this question.

P(2 < x < 4) = P(-2.25 < z < 0.25)

iv) To determine the probability that a person picked at random exercises between 2 and 4 hours per week numerically

P(2 < x < 4) = P(-2.25 < z < 0.25)

We'll use data from the normal probability table for these probabilities

P(2 < x < 4) = P(-2.25 < z < 0.25)

= P(z < 0.25) - P(z < -2.25)

= 0.59871 - 0.01222 = 0.58649 = 0.5865

Hope this Helps!!!

The amount of cereal in a box is normal with mean 16.5 ounces. If the packager is required to fill at least 90% of the cereal boxes with 16 or more ounces of cereal, what is the largest standard deviation for the amount of cereal in a box?

Answers

Answer:

The largest standard deviation for the amount of cereal in a box is 0.3906.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 16$

The z-score of X = 16 has a pvalue of 0.1. So it is $Z = -1.28$ . Now we have to find the value of $\sigma$ .

$Z = (X - \mu)/(\sigma)$

$-1.28 = (16 - 16.5)/(\sigma)$

$-1.28\sigma = -0.5$

$\sigma = 0.3906$

The largest standard deviation for the amount of cereal in a box is 0.3906.

Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. If required, enter negative values as negative numbers.
Line Speed Devective number
20 23
20 21
30 19
30 16
40 15
40 17
50 14
50 11

a. Select a scatter diagram with the line speed as the independent variable.b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?

Answers

Answer:

Here's what I get

Step-by-step explanation:

(a) Scatter diagram

The scatter diagram is the figure below.

(b) Interpretation

The scatter diagram shows there is a linear relationship between the variables.

The defective number decreases as the line speed increases.

The inspectors miss more faulty parts when the line speed increases, so they report fewer of them.

Laura is stuck in aisle six at the supermarket trying to decide which jar of peanut butter to buy.She can buy a 16-ounce jar for $2.59 or a 24-ounce jar for $3.29. Which jar has a lower unit price,
per ounce?

Answers

Answer: 24 ounce jar

Step-by-step explanation:

Unit price of 16 ounce jar

= 2.59 / 16

= 0.161875

Unit price of 24 ounce jar

= 3.29 / 24

= 0.137083

I need help urgently!!José writes this problem:

675 divided by 1600

Which expressions can be used to represent this problem?

Select each correct answer.

A) 675 ÷ 1600

B) 1600 ÷ 675

C) 1600675

D) 6751600

E) 1600675

F) 6751600

Answers

Answer:

The answer is A) 675 ÷ 1600.

Step-by-step explanation:

The answer is A) 675 ÷ 1600. 675 divided by 1600 means that the 675 will be split into 1600 parts. It's like you have 50 apples and you want to split it into two, can also be said or written as 50 DIVIDED BY 2.

In addition, If the statement says that 675 divides 1600 it means that the 1600 will be split into 675 part.

HURRY IM TIMED ON EDGE Which is the best estimate for the percent equivalent to 3/8?26%
279%
37%
38%

Answers

Answer:

C.) 37%

Step-by-step explanation:

$(3)/(8)$ as a percentage is 37.5%

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C. 37%

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