How do u find the reciprocal of 5/11?

Answers

Answer 1
Answer: The reciprocal is just flipping the fraction, so it's 11/5
Answer 2
Answer: Just switch the numerator and the denominator around. 11/5

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Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a scale of 1 to 40.Draw and label the dimension of a scale drawing of Mai’s kitchen, using a scale of 1 to 40.

Use technology or a z-score table to answer the question.The number of baby carrots in a bag is normally distributed with a mean of 94 carrots and a standard deviation of 8.2 carrots.

Approximately what percent of the bags of baby carrots have between 90 and 100 carrots?

Answers

Answer: 46%

Step-by-step explanation:

Since the number of baby carrots in a bag is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the number of baby carrots in the bag.

µ = mean

σ = standard deviation

From the information given,

µ = 94 carrots

σ = 8.2 carrots

The probability that a bag of baby carrots have between 90 and 100 carrots is expressed as

P(90 ≤ x ≤ 100)

For x = 90,

z = (90 - 94)/8.2 = - 0.49

Looking at the normal distribution table, the probability corresponding to the z score is 0.31

For x = 100,

z = (100 - 94)/8.2 = 0.73

Looking at the normal distribution table, the probability corresponding to the z score is 0.77

Therefore,

P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46

The percent of the bags of baby carrots that have between 90 and 100 carrots is

0.46 × 100 = 46%

A square is inscribed in a circle of radius 3 square root 2 find the area

Answers

inscribed means drawn inside with corners touching sides of circle

we know that r=3√2
if we double that we get the diameter of 6√2
this also is the diagonal of the square

we now have pythagoran theorem
the 2 legs are equal measure since it is a square
hypotonuse=diangoal of square

a^2+b^2=c^2
a=b
2a^2=c^2
2a^2=(6√2)^2
2a^2=72
divide both sides by 2
a^2=36
sqrt both sides
a=6
the legnth of one side is 6

area=side^2
area=6^2
area=36 

the area is 36 square units

Sebastian gathered data by surveying his neighbors comparing how much time they spend on the internet to how much mail they receive in a week. Explain the steps Sebastian should take in order to analyze the data.

Answers

Step-by-step explanation:

1. The first is a tabulation of the data, in an organized, clear and concise way for each event.

2. After tabulation, for a better understanding of the data, statistical data, such as the mean, median, and standard deviation of each event, should be collected.

3. Finally, graph the data obtained to see the trend of both cases and thus have a very precise way to make the comparison of both events

For the expression 6 − y + 3, determine the coefficient for the variable term

Answers

Let's simplify step-by-step.6−y+3=6+−y+3Combine Like Terms:=6+−y+3=(−y)+(6+3)=−y+9

Here is a linear equation in x: 8x- 19 =-4-7x Is 5 a solution to the equation? That is,is x=5 a solution to the equation

Answers

8x-19=-4-7x
8x+7x-19+19=-4+19-7x+7x
15x=15
(15x)/(15)=(15)/(15)
x=1
To prove:
8-19=-4-7
-11=-11
Therefore x≠5

Answer:

X=5

Step-by-step explanation:

The length of a side of an equilateral triangle is 40 centimeters.What is the length of the altitude of the triangle?

Answers

Answer:

34.64 cm

Step-by-step explanation:

sin 60 = (x)/(40)

sin 60 (40) = x

34.64 = x

equilateral triangles have 60° angles.

sin Ф = (opposite)/(hypotenuse)

hypotenuse is 40. All sides are 40.

x = opposite or height of triangle.