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3 years ago

11

the probability of rolling a 6 on a biased dice is 1/5 1) complete the tree diagram. 2) Work out the probability of rolling two

sixes.

1 answer:

pickupchik [31]3 years ago

6 0

Answer:

Step-by-step explanation:

Not 6 on all rolls in the diagram = 4/5

6 on all rolls in the diagram is 1/5

To find the probablity of rolling two sixes, 1/5 x 1/5 = 4/100 = 0.04 = 4%

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Mr. Foster is starting a new job. His salary for the first year is $30,000. He will receive a 5% raise each year after that. Wri

stira [4]

Answer:

s= 30000+1500x

Step-by-step explanation:

Given data

Le the number of years be x

His salary for the first year is $30,000

5% of $30,000

=5/100*30000

= 0.05*30000

= $1500

Hence for x years the salary can be described as

s= 30000+1500x

6 0

3 years ago

75 POINTS Need an immediate answer please brainliest will be given! A train left a station travelling to a city at 30 mph. The t

yaroslaw [1]

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

<h3>What is the rate of speed?</h3>

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

$t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}$

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

$t+2=3+\dfrac{(x-3\times35)}{51}$

As t is same, thus put the value of t in this equation,

$\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6$

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

Learn more about the rate of speed here:

brainly.com/question/359790

#SPJ1

6 0

2 years ago

Mrs.Flores’ rectangular garden has a length of 20 meters and width of 15 meters. Her neighbor, Mr.Sosa, has a similar garden in

natima [27]

180 m

Step-by-step explanation:

Information given:

length of Mrs. Flores' garden= 20 m
width of Mrs. Flores' garden = 15 m
Scale factor = 3

Since scale factor is 3, to get measurements of sides Mr. Sosa's garden, sides of Mrs. Flores's have to be multiplied by 3. Hence,

length of Mr. Sosa's garden= 3×20= 60 m

width of Mr. Sosa's garden= 3×15= 45 m

Diagonal of a rectangle = √length²+width²

Let Diagonal = D,

D= √60²+45²

=√3600+2025

=√5625

=75 m

If Mr. Sosa cut his garden diagonally,

perimeter= length+width+diagonal

=60+45+75=180 m

7 0

3 years ago

403, 892 in expanded form

eimsori [14]

Hey there!

<h3>"Expanded form" is basically, setting it up in a addition form to give you that result</h3>

$4 = 400,000 \\ 0 = 0 \\ 3 = 3,000 \\ 8 = 800 \\ 9 = 90 \\ 2 =2 \\ \\ \\ \\ Answer: 400,000 + 0 + 3,000 + 800 + 90 + 2$

Good luck on your assignment and enjoy your day!

~ $LoveYourselfFirst:)$

4 0

3 years ago

Darla made two batches of chocolate chip cookies each batch made 25 cookies darling use 16 total ounces of chocolate chips the c

Tema [17]

Answer:

0.32

Step-by-step explanation:

Equation: 16/(2(25)) = ?

Simplify: 16/50

Solve: .32

<u>There are 0.32 ounces of chocolate in each cookie.</u>

6 0

3 years ago