All categories

3 years ago

The number of peanuts in bags is normally distributed with a mean of 184.7 peanuts

Mathematics

1 answer:

ioda3 years ago

8 0

Standard deviation = 3.3

The data point = 178

The mean = 184.7

<h2>Further Explanation</h2>

To calculate the Z-score of a bag containing 178 peanuts, we should use the formula to calculating a z-score.

The formula for calculating a Z-score is as follows

$z = \frac{data Point - Mean}{Standard Deviation}$

This also implies

$z = \frac{178 - 184.7}{3.3}$

$Z= -2.03$

therefore, the correct answer is -2.03

A z-score determine the number of standard deviation from the mean a data point is.

some important factors about z-score include:

if it is a positive z-score, it indicates the data point is above average
if it is a negative Z-score, it indicates the data point is below average
if the z-score is close to 0, it then means the data point is close to average
if the z-score is above 3 or below -3, it is considered to be unusual

Learn More about Z-score at:

brainly.com/question/12876715

#learnwithbrainly

You might be interested in

Write the following phrase as a variable expression. Use X to represent “a number.” The sum of eleven, a number, and the product

melamori03 [73]

Answer:

11 + x + 19*x

Step-by-step explanation:

The sum of eleven, a number, and the product of nineteen and the number.

we have to read carefully and understand how to interpret

when he says the sum of separates into 3 parts because there is a "comma" and an "and"

Now let's separate the 3 parts of the sum

1 part

says eleven so we just put 11

eleven = 11

2 part

in the text it says that we replace "a number" with x

a number = x

3 part

In this case we simply make the product between the given values

the product of nineteen and the number

19 * x

Now we can accommodate everything and we finish

11 + x + 19*x

6 0

3 years ago

PLEASE ANSWER QUICK! I REALLY NEED HELP!

Katarina [22]

Answer:

a) Angle 1 = Value in degree = 95°

b)Angle 2 = Value in degree = 77°

c) Angle 3 = Value in degree = 85°

d) Angle 4 = Value in degree = 103°

Step-by-step explanation:

We use circle theorems to solve for this above question.

a) Angle 1 = Value in degree = 95°

Inscribed Angle is 1/2 of an Intercepted Arc

From the diagram, Angle 1 intersects at Arc B and Arc C

This means Angle 1 = (B + C)/ 2 =

Arc B = 100°

Arc C = 90°

Angle 1. = (100° + 90°)/ 2 = 190/ 2 = 95°

b)Angle 2 = Value in degree = 77°

From the diagram, Angle 2 intersects at Arc C and Arc D

Inscribed Angle is 1/2 of an Intercepted Arc

This means Angle 1 = (C+ D)/ 2

C = 90°

D = 64°

Angle 1. = (90° + 64°)/ 2 = 154/ 2 = 77°

c) Angle 3 = Value in degree = 85°

From the diagram, we can see that Angle 1 is opposite Angle 3, hence,

Opposite angles are supplementary which means their addition = 180°

Mathematically:.Angle 1 + Angle 3 = 180°

Angle 1 = 95°

95° + Angle 3 = 180°

Angle 3 = 180° - 95° = 85°

d) Angle 4 = Value in degree = 103°

From the diagram, we can see that Angle 2 is opposite Angle 4,

Hence,

Opposite angles are supplementary which means their addition = 180°

Mathematically:.Angle 2 + Angle 4 = 180°

Angle 2 = 77°

77° + Angle 3 = 180°

Angle 4 = 180° - 77° = 103°

4 0

3 years ago

What is the image of (-4,-2) after a reflection over the y=-x

vodka [1.7K]

Answer:

(2,4)

Step-by-step explanation:

because the coordinates change places and signs

3 0

3 years ago

Read 2 more answers

Whiskers the cat weighs 2 2/3 kg. Piglo weighs 4kg. For each question , write a myipulcation and a division equation, decide whe

Liula [17]

Answer:

1) x= 3/2= 1 1/2

2) x= 2/3

Step-by-step explanation:

1)How many times as heavy as Whiskers is Piglio?

a) Write a multiplication equation for the question.

2 2/3 kg * [x]= 4kg

b) Write a division equation for the question.

4/ 2 (2/3) = x

c) Is the answer greater than 1 or less than 1?

Ans) Greater than 1

d) Find the answer

4/ 8/3= x

x= 3/2= 1 1/2

Pigilo is 1 1/2 times as heavy as whiskers

2)How many times as heavy as Piglio is Whiskers?

a) Write a multiplication equation for the question.

4 kg * [x]= 2 2/3 kg

b) Write a division equation for the question.

2 (2/3)/4 = x

c) Is the answer greater than 1 or less than 1?

Ans) Less than 1

d) Find the answer

8/3/4= x

8/3 * 1/4= x

2/3= x

Whiskers is 2/3 times as heavy as Pigilo.

5 0

2 years ago

A cylinder has a volume of 105 cubic centimeter what is the volume of a cone with the same base and height?

pychu [463]

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V_1=\pi r^2H$

r - radius

H - height

The formula of a volume of a cone:

$V_2=\dfrac{1}{3}\pi r^2H$

If the cylinder and the cone have the same base (radius) and the same height, then the volume of the cone is three times smaller than the volume of the cylinder.

$V_2=\dfrac{1}{3}\underbrace{\pi r^2H}_{V_1}$

Therefore:

$V_2=\dfrac{1}{3}V_1\toV_2=\dfrac{1}{3}\cdot105\ cm^3=35\ cm^3$

5 0

3 years ago