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Lina20 [59]
3 years ago
15

A rectangle has an area of 72 square units. The width of the rectangle is 9 units. The length of the rectangle is 2 x + 4. What

is the rectangle's length? 6 7 8 9
Mathematics
2 answers:
dimaraw [331]3 years ago
8 0
8

A=LW
72= 9(2x+4)
72= 18X+36
Sub 36
36= 18X
Divide by 18
X=2

Length (2(2)+4)=8
sukhopar [10]3 years ago
3 0

Answer:

the answer is 8

Step-by-step explanation:

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A classroom had 16 computers. If the ratio of computers to ipads was 4 : 5, how many ipads does the classroom have?
Rus_ich [418]

Answer:

20 ipads

Step-by-step explanation:

16 divided by 4 (the ratio of computers)=4

(ipads) 5 multiplied by 4=20

16:20 = 4:5

So the classroom has 20 ipads

(sorry if its incorrect, hope this helps)

8 0
3 years ago
Mason has lunch at a restaurant and the cost of his meal is $30. Mason
alekssr [168]

Answer:

Step-by-step explanation:

30*20%= 6 so $6.00 tip

Total with tip is $36.00

3 0
3 years ago
Read 2 more answers
According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on tim
jonny [76]

Answer:

See explanation below.

Step-by-step explanation:

Assuming this problem: "According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let W = the number of days on which the train arrives late. "

For this case we can check if the binomial model can be used checking conditions:

1) We satisfy that we have independent trials and is assumed for this case

2) We have a fixed value for the trials n =6 and for the probability p = 0.9 on each trial

3) We have bernoulli experiments on each trial since we have success or failure for each case.

So then since all the conditions are satisfied we can assume that the binomial model can be used here.

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".

Let W the random variable of interest "the number of days on which the train arrives late", on this case we now that:

W \sim Binom(n=6, p=0.9)

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

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

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We can find all the possible probabilities for all the possible values of X like this:

P(X=0)=(6C0)(0.9)^0 (1-0.9)^{6-0}=1x10^{-6}

P(X=1)=(6C1)(0.9)^1 (1-0.9)^{6-1}=5.4x10^{-5}

P(X=2)=(6C2)(0.9)^2 (1-0.9)^{6-2}=0.001215

P(X=3)=(6C3)(0.9)^3 (1-0.9)^{6-3}=0.01458

P(X=4)=(6C4)(0.9)^4 (1-0.9)^{6-4}=0.0984

P(X=5)=(6C5)(0.9)^5 (1-0.9)^{6-5}=0.354

P(X=5)=(6C5)(0.9)^6 (1-0.9)^{6-6}=0.531

4 0
3 years ago
Half note as a decimal?
GrogVix [38]
0.5 or .5 (remember, half a whole note is a half note)
3 0
3 years ago
Pls only answer if yk it ill give correct one BRAINLIEST!!
Dmitry [639]

Answer:

X=10, x=4

Step-by-step explanation:

first, divide 14 by 2, and square it; giving you

x^2-14x+(7)^2=-40

Because 7^2 is 49, you have to add 49 to the other side; giving you

x^2-14x+(7)^2=9

Then factor the left side; giving you (x-7)^2=9

Take the square root of both sides, giving you

(x-7)^2= plus or minus 3

Then solve to get two solutions, 10 and 4

8 0
3 years ago
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