Identify the slope AND y-intercept of the equation below. y=4x−7

Consider the probability that fewer than 26 out of 107 cell phone calls will be disconnected. Assume the probability that a give

anyanavicka [17]

Answer:

We assume the condition of independence satisifed.

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

$np=107*0.98=104.86 \geq 10$

$n(1-p)=107*(1-0.98)=2.14 < 10$

So we see that we satisfy the first condition, but the second no so then we can't apply the approximation for this case, since we need both conditions at the same time in order to use the normal approximation.

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".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=107, p=0.98)$

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:

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

Solution to the problem

We assume the condition of independence satisifed.

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

$np=107*0.98=104.86 \geq 10$

$n(1-p)=107*(1-0.98)=2.14 < 10$

So we see that we satisfy the first condition, but the second no so then we can't apply the approximation for this case, since we need both conditions at the same time in order to use the normal approximation.

4 0

3 years ago

Find the area of the following figure. Round your answer to the nearest tenth.

Elza [17]

Answer:

maybe 21?

Step-by-step explanation:

5 0

3 years ago

At the bargain store , Tanya bought 3 items that each cost the same amount. Tony bought 5 items that each cost the same amount b

Afina-wow [57]

Answer:

"Tanya bought 3 items that each cost the same amt"

"Let x represent the cost of one of Tanya's items"

So, Tanya bought 3 items, costing x+x+x = 3x

Note that (number of items)*(cost per item) = (number of items)*(cost/item) = cost, [item cancels out]

"Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought."

The cost for Tony's items was: (x-2.25)+(x-2.25)+(x-2.25)+(x-2.25) = 4*(x-2.25)

"Tanya and Tony paid the same amt. of money"

This is an equation (the same amount means equals)

Tanya's cost = Tony's cost

a.) Write an equation. Let x represent the cost of one of Tanya's items

3x = 4(x-2.25)

Now, the math:

b.) Solve the equation. Show your work.

3x = 4(x-2.25)

3x = 4x - 9.00 [distributive principle; multiply]

-x = -9.00 [subtract 4x from both sides; option, could instead add 9.00, then subtract 3x from both sides, getting 9.00=x]

x = 9.00 [multiply both sides by (-1)]

[note: to "solve for x" means to find the value(s) of x that make the equation true,

so let's see if it is true --]

c.) Check your solution. Show your work.

Is 3x = 4(x-2.25), when x=9.00 ?

3(9.00) = 4(9.00-2.25) ?

27.00 = 36.00 - 9.00 ?

27.00 = 27.00 ?yes

d) State the solution in a complete sentence.

The problem started with: "Tanya bought 3 items that each cost the same amt. Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought. Both Tanya and Tony paid the same amt. of money."

I would write: "Tanya bought 3 items, each costing $9.00. Tony bought 4 items, each costing $6.75. Tanya and Tony each paid $27.00."

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Which fraction is 16/64 in lowest terms PLEASE SHOW HOW U DID UR PROBLEM

stiks02 [169]

Answer:

16/64 simplified to lowest terms is 1/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:

1/ 4

8 0

3 years ago

Read 2 more answers

What is the solution set for 2(5x−3)>54? I'll give brainliest to right answer

MArishka [77]

Answer:

x>6

Step-by-step explanation:

hopefully the answer is clear and understandable.

:)

7 0

3 years ago