Ask question

Ask question

All categories

3 years ago

14

He has three pieces of ropes with length of 140 cm,168 cm and 210 cm.he wishes to cut all three pieces of ropes into smaller pie

ces of equal length such that there is no left over
i ) what is the greatest possible length of each of the smaller pieces of ropes?

1 answer:

lesantik [10]3 years ago

5 0

Answer:

140cm

Step-by-step explanation:

you can cut both of the larger ones to the size of the smallest one

You might be interested in

Pennetta is a wedding planner. She charges a $50 fee plus $100 per guest to plan a wedding for g, the number of guest. Write an

malfutka [58]

Answer:

C = 100g + 50

Step-by-step explanation:

5 0

3 years ago

Vitek1552 [10]

66% divided by 365 days is the answer i think

6 0

3 years ago

Read 2 more answers

Marks's dad drove 123 miles in 2 hours. At that rate, how many miles would he drive in 5 hours?

mihalych1998 [28]

Answer:

307.5

Step-by-step explanation:

He drove 123 miles in 2 hours. If you go 100 miles in 2 hours that means you went 50 miles in one hour right? Using the same logic we can convert 123 miles in 2 hours to 61.5 miles per hour and then multiply it by 5.

4 0

2 years ago

Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3089. If the player has 25 at-bats during a we

klio [65]

Answer:

$P(X>9) = 0.3593$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=25, p=0.3089)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

For this case we want this probability:

$P(X >9)$

And we can use the complement rule like this:

$P(X>9) = 1-P(X \leq 8)= 1-[P(X=0) + P(X=1) +....+P(X=8)]$ And we can find the individual probabilities like this:

$P(X=0) =(25C0)(0.3089)^0 (1-0.3089)^{25-0} =0.0000974$

$P(X=1) =(25C1)(0.3089)^1 (1-0.3089)^{25-1} =0.0011$

$P(X=2) =(25C2)(0.3089)^2 (1-0.3089)^{25-2}=0.00584$

$P(X=3) =(25C3)(0.3089)^3 (1-0.3089)^{25-3}= 0.02$

$P(X=4) =(25C4)(0.3089)^4 (1-0.3089)^{25-4}=0.049$

$P(X=5) =(25C5)(0.3089)^5 (1-0.3089)^{25-5}=0.092$

$P(X=6)=(25C6) (0.3089)^6 (1-0.3089)^{25-6} = 0.138$

$P(X=7) =(25C7)(0.3089)^7 (1-0.3089)^{25-7}=0.167$

$P(X=8) =(25C8)(0.3089)^8 (1-0.3089)^{25-8}=0.168$

And in order to do the operations we can use the following excel code:

"=1-BINOM.DIST(8,25,0.3089,TRUE)"

And we got:

$P(X>9) = 0.3593$

4 0

3 years ago

Find the range of the function for the domain {−3, 1, 4.5}.

Nitella [24]

Answer:

D. {4, 0, -3.5}

Step-by-step explanation:

domain (x) = {-3, 1, 4.5}

y= -x + 1

substituting domain/x-values into y= -x + 1

x= -3

y = -(-3) + 1

= 3+1

= 4

x= 1

y = -(1) + 1

= 0

x = 4.5

y = - (4.5) + 1

= -3.5

therefore, range ={4, 0, -3.5}

6 0

3 years ago