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drek231 [11]
3 years ago
9

The width and length of a rectangle (in feet)are consecutive odd integers. If the length is increased by 5 feet, the area of the

resulting rectangle is 60 square feet. What is the area of the original rectangle? 25 ft 2 30 ft 2 35 ft 2
Mathematics
1 answer:
hodyreva [135]3 years ago
8 0

The actual (late) answer is 35ft^2

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Help help help!!!!!!
muminat

Answer:

50 please mark brainliest

Step-by-step explanation:

FH is half of CG

4 0
2 years ago
You wish to mentally estimate the total cost of items that have the following prices: $1.85, $.98, $3.49, $9.78, and $6.18. Roun
Tanzania [10]

If you wish to<u> mentally estimate</u> the <u>total cost</u> of items, <u>rounding </u>off the items to the<u> nearest half dollar</u>, then you have to consider all five items separately.

Five items cost $1.85, $.98, $3.49, $9.78, and $6.18.

1. $1.85≈$2;

2. $0.98≈$1;

3. $3.49≈$3.50;

4. $9.78≈$10;

5. $6.18≈$6.

Then the total cost is

$2 + $1 + $3.50 + $10 + $6 =$22.50.

Answer: correct choice is C

4 0
2 years ago
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F(k)=k^2-3. Find f^-1(k)<br><br> Please help, need for tomorrow.
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If u need that answer go on google search up math Papa pre algebra calculator.
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2 years ago
5/6+5/12 <br><br> For brainliest
Amiraneli [1.4K]

Answer:

5/4

Step-by-step explanation:

5/6+5/12

or, {(5×2)+5}/12

or, 15/12 = 5/4

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2 years ago
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In a particular faculty 60% of students are men and 40% are women. In a random sample of 50 students what is the probability tha
zimovet [89]

Answer:

a) The expected value is given by:

E(X) = np = 50*0.4 = 20

and the variance is given by:

Var(X) =np(1-p) = 50*0.4*(1-0.4) = 12

b) P(X>25)= 1-P(X\leq 25)

And we can find this probability with the following Excel code:

=1-BINOM.DIST(25,50,0.4,TRUE)

And we got:

P(X>25)= 1-P(X\leq 25)=0.0573

c) 1) Random sample (assumed)

2) np= 50*0.4= 20 >10

n(1-p) =50*0.6= 30>10

3) Independence (assumed)

Since the 3 conditions are satisfied we can use the normal approximation:

X \sim N(\mu = 20 , \sigma= 3.464)

d) P(X>25) = 1-P(Z< \frac{25-20}{3.464}) = 1-P(z

e) P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)= 1-P(Z

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".

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

X \sim Binom(n=50, p=0.4)

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!}

Part a

The expected value is given by:

E(X) = np = 50*0.4 = 20

and the variance is given by:

Var(X) =np(1-p) = 50*0.4*(1-0.4) = 12

Part b

For this case we want to find this probability:

P(X>25)= 1-P(X\leq 25)

And we can find this probability with the following Excel code:

=1-BINOM.DIST(25,50,0.4,TRUE)

And we got:

P(X>25)= 1-P(X\leq 25)=0.0573

Part c

1) Random sample (assumed)

2) np= 50*0.4= 20 >10

n(1-p) =50*0.6= 30>10

3) Independence (assumed)

Since the 3 conditions are satisfied we can use the normal approximation:

X \sim N(\mu = 20 , \sigma= 3.464)

Part d

We want this probability:

P(X>25) = 1-P(Z< \frac{25-20}{3.464}) = 1-P(z

Part e

For this case we use the continuity correction and we have this:

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)= 1-P(Z

4 0
3 years ago
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