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Aleks [24]
3 years ago
12

The sides of a triangle have lengths s, s+4, and 3s. write an expression in simplest form that represents the perimeter of the t

riangle.
Mathematics
1 answer:
Reptile [31]3 years ago
5 0
Perimeter is the sum of all sides. So, just add all three sides and then simplify by grouping all the s together by adding.
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Determine whether the events are independent (I) or dependent (D). Place your answer in the blank provided. 1. Ramiro draws a ma
Stels [109]

Answer:

Independent events

Step-by-step explanation:

Given that:

Ramiro draws a marble from a jar without replacement and then flips a coin

Let E_1 be the event that Ramiro draws a marble without replacement and;

Let E_2 be the event of flipping a coin.

Let's have an analogy so that we can better understand the concept of independent and dependent events.

Consider a random experiment in which a marble is drawn from a jar without replacement and a fair coin is flipped together.

The event E_1  does not in any way affect the event E_2  of a head or a tail showing up in  a flip of a coin.

Therefore, we say that E_1  and E_2   are independent events.

Suppose the event  E_1  affects or influence the event E_2  , then we can say they are dependent events.

4 0
3 years ago
Geometry. Very basic.
AveGali [126]

Answer:

A)10.25 cm ; B)5 square cm  

Step-by-step explanation:

A)

Formula:

p=(a+b+c)         [p= perimeter ;  a,b , and c are the side lengths.]

∴The perimeter of the triangle =(4+2.75+3.5) cm  

                                                =10.25 cm

B)

Formula:

A = 1/2 . b .h    [A=area ; b= base ; h= height]

∴The area of the triangle = (1/2 . 4 . 2.5) square cm    [b=4 ; h=2.5]

                                         =5 square cm  

6 0
3 years ago
Find the indicated conditional probability
andrezito [222]

Given:

The two way table.

To find:

The conditional probability of P(Drive to school | Senior).

Solution:

The conditional probability is defined as:

P(A|B)=\dfrac{P(A\cap B)}{P(B)}

Using this formula, we get

P(\text{Drive to school }|\text{ Senior})=\dfrac{P(\text{Drive to school and senior})}{P(\text{Senior})}                      ...(i)

From the given two way table, we get

Drive to school and senior = 25

Senior = 25+5+5

           = 35

Total = 2+25+3+13+20+2+25+5+5

         = 100

Now,

P(\text{Drive to school and senior})=\dfrac{25}{100}

P(\text{Senior})=\dfrac{35}{100}

Substituting these values in (i), we get

P(\text{Drive to school }|\text{ Senior})=\dfrac{\dfrac{25}{100}}{\dfrac{35}{100}}

P(\text{Drive to school }|\text{ Senior})=\dfrac{25}{35}

P(\text{Drive to school }|\text{ Senior})=0.7142857

P(\text{Drive to school }|\text{ Senior})\approx 0.71

Therefore, the required conditional probability is 0.71.

5 0
3 years ago
Read 2 more answers
please help me to solve this word problems leading to quadratic equation: A girl is 6 years younger than her brother. the produc
vova2212 [387]

Answer:

Brother is 70.5 and sister is 64.5

Step-by-step explanation:

you will need to set up a simple equation and give out variables.

Girls age = 6-x

Brother's age= x

the you will take those 2 and add them and place them equal to 135:

6-x+x=135

6-2x+6=135+6

The 6 cancels out

2x=141

2x/2=141/2

x=70.5

The brother's age would be 70.5 then and the girl's would be 64.5

5 0
3 years ago
A clothing store offers a free T-shirt when a customer spends $75 or more. Lyndon has already spent $36. 95. Which statement bes
Allisa [31]

Lyndon should spend $38.05 or more to get a free T-shirt.

We have to find the statement best represents all of the amounts he can spend to get a free T-shirt

Suppose that the amount Lyndon get free T shirt is x.

Given that a clothing store offers a free T-shirt when a customer spends $75 or more.

Lyndon has already spent $36.95.

x+36.95\geq 75

To find the value of x,

Solve above inequality

x\geq 75-36.95

x\geq 38.05

Therefore,

Lyndon should spend $38.05 or more to get a free T-shirt

To learn more about the amounts he can spend to get a free visit:

brainly.com/question/25537936

5 0
3 years ago
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