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jek_recluse [69]
3 years ago
8

Write and simplify an expression for the perimeter of each figure.

Mathematics
1 answer:
gavmur [86]3 years ago
8 0

6m

Step-by-step explanation:

2(2m-1) + 2(m+1)

= 4m - 2 + 2m + 2

= 6m - 2 + 2

= 6m

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A hotel claims that 8585​% of its customers are very satisfied with its service. complete parts a through d below based on a ran
jek_recluse [69]
We can solve this problem using the binomial distribution. A binomial distribution<span> can be thought of as a success or failure outcome in an experiment or survey that is repeated multiple times. 
</span>Probability function of binomial distribution has the following form:
P= \frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}
p represents the probability of each choice we want. k is the number of choices we want and n is the total number of choices.
In our case p=0.85, k=5 and n=6. 
We can now calculate the answer:
P= \frac{6!}{5!(6-5)!} 0.85^5(1-0.85)^{6-5}=0.39
The probability is 39%.
.
7 0
3 years ago
It is stated that a quantity varies directly as another if the two quantities always change in the same ratio. So, what would ha
lys-0071 [83]

Answer:

2k

Step-by-step explanation:

Let k  is the ratio between two variables or y = kx

when x double, means: y = k (2x) = 2kx  quantity y will change with a ratio 2k

5 0
2 years ago
Identify the dependent and independent variables in each situation.
klemol [59]
A. independent (x) - expenses, dependent (y) - total cost
B. independent (x) - area, dependent (y) - price
C. independent (x) - time, dependent (y) - distance
D. independent (x) - size of carton, dependent (y) - number of items
    
6 0
2 years ago
Read 2 more answers
Identify the restrictions on the domain of f(x) = quantity x plus 5 over quantity x minus 2. x ≠ 5 x ≠ −5 x ≠ 2 x ≠ −2
horsena [70]

Answer: Third option.

Step-by-step explanation:

By definition, Rational Functions have the following form:

f(x)=\frac{P(x)}{Q(x)}

Where P(x) and Q(x) are polynomials.

The Restrictions of the Domain of Rational Functions are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.

 In this case, you have the following Rational Function:

f(x)=\frac{x+5}{x-2}

The Restrictions of the Domain can be found applying this steps:

- Make the denominator equal to 0:

x-2=0

- Solve for "x":

x=2

Then, the Domain of this function includes all "x" not equal to 2.

Therefore,  the answer is:

x\neq 2

8 0
3 years ago
Kira needs 3,000 milligrams of zinc for a science experiment. Which expression can be used to determine how many grams of zinc s
harina [27]

Answer: 3,000 divided by a thousand

Step-by-step explanation: 1,000 milligrams equal one gram so you divide the number of milligrams by 1,000 to find out the number of grams.

8 0
3 years ago
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