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pentagon [3]
3 years ago
6

Combine the like terms to create an equivalent expression:2r+1+(−4r)+7

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

2r+1+(-4r)+7

= -2r+8

= -2(r+4)

Step-by-step explanation:

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Find the radius of a circle with diameter 91yd
4vir4ik [10]

Answer: 45.5yds

Step-by-step explanation:

- the radius is simply half of the diameter so: 91 / 2= 45.5yd

- so the radius is 45.5yds

hope this helps :)

8 0
2 years ago
Read 2 more answers
We know that a class interval must be greater than what the I formula solution is; however... What is the solution for class int
stich3 [128]

Answer:

Therefore the answer is 20.

Step-by-step explanation:

We know that

class interval = range / number of classes

But here number of classes is not given , so we use the formula

class interval = range / ( 1+ 3.322 log N)

where , range =maximum - minimum = 220-100 = 120

N= number of observations = 50

class interval = 120 / ( 1+ 3.322 * log 50) = 18.06

Rounding up to a convinient number

Thus , class intervai = 20

Therefore the answer is 20.

3 0
3 years ago
A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a
netineya [11]

Answer:

P(X \geq 5)=1-P(X

We can find the individual probabilities:

P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114

P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092

P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358

P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869

P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491

And replacing we got:

P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178

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=19, p=0.3)

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 \geq 5)

And we can use the complement rule:

P(X \geq 5)=1-P(X

We can find the individual probabilities:

P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114

P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092

P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358

P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869

P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491

And replacing we got:

P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178

4 0
3 years ago
Cooommmon guys help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!plz
Tom [10]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, -3) and (-2, 9). Substitute:

m=\dfrac{9-(-3)}{-2-5}=\dfrac{12}{-7}=-\dfrac{12}{7}\\\\y-(-3)=-\dfrac{12}{7}(x-5)\\\\\boxed{y+3=-\dfrac{12}{7}(x-5)}

5 0
4 years ago
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Question 6<br> Express this decimal as a fraction.<br> ?<br> 1.21 =<br> ^ it has a line over the 21.
saul85 [17]

Answer: 40/33

Step-by-step explanation:

5 0
2 years ago
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