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3 years ago

Which expressions below are equivalent to 2(2x + 1)?

Mathematics

1 answer:

Nikolay [14]3 years ago

3 0

Answer:

4x+2

Step-by-step explanation: just trust me pls

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The product of two consecutive odd numbers is 195. Find the two integers

aivan3 [116]

Answer:

3 and 14

Step-by-step explanation:

7 0

3 years ago

Let X be a Binomial Random Variable with 8 trials and a probability of success as 0.37. Suppose you want to find k such that P(X

larisa86 [58]

Answer:

k = 4

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 8, p = 0.37$ . So

P(X < k) = 0.6625

k only assumes discrete values, so

$P(X < k) = P(X \leq k-1) = 0.6625$

We have to find the cummulative distribution until we hit 0.6625. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{8,0}.(0.37)^{0}.(0.63)^{8} = 0.0248$

$P(X \leq 0) = P(X = 0) = 0.0248$

$P(X = 1) = C_{8,1}.(0.37)^{1}.(0.63)^{7} = 0.1166$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0248 + 0.1166 = 0.1414$

$P(X = 2) = C_{8,2}.(0.37)^{2}.(0.63)^{6} = 0.2397$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0248 + 0.1166 + 0.2397 = 0.3811$

$P(X = 3) = C_{8,3}.(0.37)^{3}.(0.63)^{5} = 0.2814$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0248 + 0.1166 + 0.2397 + 0.2814 = 0.6625$

$P(X \leq 3) = P(X < 4) = 0.665$

So k = 4

7 0

3 years ago

A 3-yard roll of butcher paper costs $8.55. What is the price per foot?

Dmitry [639]

Answer:$1.05 per foot

Step-by-step explanation:

Since they’re are 9 feet in 3 yards, we can divide 8.55 by 9 and get $1.05 per foot

4 0

4 years ago

A number multiplied by 7 is less than 21. Which of the following expressions correctly identifies this sentence?

Vlada [557]

Answer:

Step-by-step explanation:

8 0

3 years ago

A large concrete water pipe is being laid underground. The pipe has a diameter of 24 inches and is laid in 40 foot sections. How

Dvinal [7]

Volume=hpir^2
d/2=r, 24/2=12=r
h=40

v=40pi12²
v=40pi144
v=5760pi cubic inches per section

5 0

3 years ago