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madam [21]
2 years ago
10

The map shows a linear section of Highway 35. Today, the Ybarras plan to drive the 360 miles from

Mathematics
1 answer:
KonstantinChe [14]2 years ago
5 0
(C) 180 mi
May be helpful for you
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Billy is going to share 2 1/2 pizzas with
svet-max [94.6K]

Answer:

5/6

Step-by-step explanation:

2 1/2 -> 5/2

5/2 divided by 3, which is 0.83333333333

0.83333333333 as a simplied fraction is 5/6

4 0
2 years ago
In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) 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".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

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!}

And we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
3 years ago
Are -2x + 9 = 7 and 2x = 2 equivalent?​
DochEvi [55]

Answer:

Yes because the answer to both of them is 1

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+9=7

Step 1: Subtract 9 from both sides.

−2x+9−9=7−9

−2x=−2

Step 2: Divide both sides by -2.

−2x

−2

=

−2

−2

x=1

Answer:

x=1    

Let's solve your equation step-by-step.

2x=2

Step 1: Divide both sides by 2.

2x

2

=

2

2

x=1

Answer:

x=1

 

7 0
3 years ago
A)$150 at 3 % interest for 2 years
tamaranim1 [39]

Answer:

A)  159.135 = X

B) 2,531.25 = X

C)  6,187.5 = X

D) 831,947.46 = X

Step-by-step explanation:

The following investments are required to be calculated:

A) $ 150 at 3% interest for 2 years

B) $ 750.00 at 1/2% interest for 3 years

C) $ 2,250.00 at 1 3/4% interest for 1 year

D) $ 2,550.00 at 3 1/4 interest for 4 years

Therefore, the following calculations must be performed:

A)

150 x (1 + 0.03) ^ 2 = X

150 x 1.03 ^ 2 = X

159.135 = X

B)

750 x (1 + 0.5) ^ 3 = X

750 x 1.5 ^ 3 = X

2,531.25 = X

C)

2,250 x (1 + 1.75) = X

2,250 x 2.75 = X

6,187.5 = X

D)

2,550 x (1 + 3.25) ^ 4 = X

2,550 x 4.25 ^ 4 = X

831,947.46 = X

4 0
2 years ago
(-1,5) (0,2) in slope intercept form
xeze [42]

Answer:

Step-by-step explanation:

(-1,5) (0,2)

y2= 2, y1 = 5, x2 = 0, x1 = -1

Slope m = [y2 - y1]/[x2 - x1]

m = {2 - 5}/{0+1}

m = -3/1

m = -3

And

y - y1 = m(x - x1)

y - 5 = -3(x + 1)

y - 5 = -3x - 3

y = -3x - 3 + 5

y = -3x + 2

7 0
3 years ago
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