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3 years ago

Three line segments have measures of 13 units, 7 units, and 5 units. Will he segments form a triangle

Mathematics

1 answer:

balandron [24]3 years ago

3 0

Answer:

Step-by-step explanation:

The segments will not form a triangle, because using the triangle inequality, the two shorter sides added together MUST be greater than the third side. We can clearly see that

7+5<13 instead of greater than, so the segments will NOT form a triangle

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A hair salon completed a survey of 367 customers about satisfaction with service(Dissatisfied, Neutral, Satisfied, or Very Satis

mamaluj [8]

The results of the survey are shown in the table.

It's required to calculate the following probabilities:

a) A customer is neutral

The row labeled as 'Neutral' has a total of 79 customers out of 367 in total.

The required probability is:

$p=\frac{79}{367}$

b) A customer is a walk-in

The first column labeled as 'Walk-in' has a total of 106 customers out of 367. The required probability is

$p=\frac{106}{367}$

c) A customer is dissatisfied and a walk-in.

We have to cross the row Dissatisfied with the column Walk-in. The number of customers that have both categories is 22 out of 367.

The required probability is:

$p=\frac{22}{367}$

d) A customer is very satisfied given he saw a TV ad.

This is a conditional probability, where the total is 111 because is the given condition. The customers that have both characteristics are 33, thus the required probability is:

$p=\frac{33}{111}=\frac{11}{37}$

e) A customer is satisfied or referred.

Total satisfied = 139

Total referred = 150

With both features = 62

Total customers with one or both features: 139 + 150 - 62 = 227

We have to subtract the common feature because it was counted twice.

The required probability is:

$p=\frac{227}{367}$

6 0

1 year ago

What is the distance between point A and point B?

artcher [175]

Answer:

I would need to see the grapgh

Step-by-step explanation:

4 0

2 years ago

P(x)=x(2x+5)(x+1)What are the zeros of this polynomial

erastova [34]

Answer:

(0,-5/2,-1)

Step-by-step explanation:

x(2x+5)(×+1)=0

x=0 2x+5=0 x+1=0

2x=-5 x=-1

x=-5/2

5 0

2 years ago

The bottom of Ignacio's desktop is 74.5cm from the floor. Ignacio's sits in his adjustable chair, and the tops of his legs are 4

dsp73

Answer:

Ignacio can make 5 clockwise rotations.

Step-by-step explanation:

Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:

4.8r + 49.3 < 74.5 where 'r' is equal to the number of rotations

The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch. Now, solve for 'r':

Subtract 49.3 from both sides: 4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2

Divide 4.8 from both sides: 4.8r/4.8 < 25.2/4.8 or r < 5.25

Since the number of rotations must be less than 5.25, he can make 5 complete rotations.

6 0

3 years ago

Write the expression 5³⋅5⁴ using a single base

Mnenie [13.5K]

Answer:

Step-by-step explanation:

If two numbers have the same base, add the powers

5³ * 5⁴ = 5⁽³⁺⁴⁾ = 5⁷

6 0

3 years ago

Read 2 more answers