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3 years ago

10

Define the type of sequence 7, 14, 28, 56, 112

2 answers:

Natasha2012 [34]3 years ago

5 0

Answer:

This is a geometric sequence.

Sedaia [141]3 years ago

3 0

I’m pretty sure it’s geometric sequence

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The difference between a number divided by 3 and 4 is 20

Rzqust [24]

Set the number to x.

$\frac{x}{3}-\frac{x}{4}=20$
$\frac{4x}{12}-\frac{3x}{12}=20$
$\frac{x}{12}=20$
$x=240$

Thus, the number is 240.

8 0

3 years ago

What is the product of 65 (cos (14)+isin (14) and 8 (cos (4)+isin (4))

kozerog [31]

A calculator will help just press the cos sin buttons hope that helps

7 0

3 years ago

Jack drank 1 1/3 cups of milk for breakfast, 1 5/6 cups of milk for lunch, and 1 3/4 cups for dinner. How much milk did Jack dri

natima [27]

Answer:

4.91666666667

Step-by-step explanation:

1 1/3 + 1 5/6 + 1 3/4 = 4.91666666667

3 0

3 years ago

A tanker truck has overturned and is spilling oil onto the highway. Amazingly, the region covered by the oil spill maintains a p

Sav [38]

Answer:

The radius of the oil spill growing at 2 feet per minute

Step-by-step explanation:

Area of a circle is

$A=\pi r^2$

Differentiating A with respect to r,

$\dfrac{dA}{dr} = 2\pi r$

When $A=100\pi$ ,

$100\pi = \pi r^2$

$r = 10$

The rate of growth of the spill is

$\dfrac{dA}{dt} = 40\pi$

This is equivalent to

$\dfrac{dA}{dt} = \dfrac{dA}{dr} \times \dfrac{dr}{dt}$

$\dfrac{dr}{dt} = \dfrac{dA}{dt}/\dfrac{dA}{dr} = \dfrac{40\pi}{2\pi r} = \dfrac{20}{r}$

$\dfrac{dr}{dt} = \dfrac{20}{10} = 2$

7 0

3 years ago

Read 2 more answers

in a certain population, 11% of people are left-handed. Suppose that you plan to randomly select 100 people and ask each person

Assoli18 [71]

Answer:

c. A and C

Step-by-step explanation:

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:

$X \sim Binom(n=100, p=0.11)$

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:

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

We need to check the conditions in order to use the normal approximation.

$np=100*0.11=11 > 10 \geq 10$

$n(1-p)=100*(1-0.11)=99 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=100*0.11=11$

$\sigma=\sqrt{np(1-p)}=\sqrt{100*0.11(1-0.11)}=3.129$

Part A

We want this probability:

$P(X \geq 12) = 1-P(X$

The z score is defined as

$Z=\frac{x-\mu}{\sigma}$ .

$P(X \geq 12) = 1-P(X$

Part B

P(X>12) = 1-P(X\leq 12) = 1-P(Z< \frac{12-11}{3.129})=1-0.625=0.375[/tex]

Part C

$P(10\leq X \leq 14) = P(X$

The z score is defined as

$Z=\frac{x-\mu}{\sigma}$ .

$P(10 \leq X \leq 14) =P(Z< \frac{14-11}{3.129}) -P(Z< \frac{10-11}{3.129})=P(Z$

So then the best option is : c. A and C

8 0

4 years ago