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1 year ago

Please Help!! and explain in detail!!!!

Mathematics

1 answer:

tatuchka [14]1 year ago

8 0

Answer:

1/36 = 0.02777...

Step-by-step explanation:

Given the sequence 1, 0.25, 0.111..., 0.0625, 0.04, you would like to know the next term.

<h3>Terms</h3>

We recognize the decimal values to be equivalent to ...

1, 1/4, 1/9, 1/16, 1/25

That is, they are the reciprocals of successive squares.

The next term will be the reciprocal of the 6th square:

1/36 = 0.02777...

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The CEO of a clothing company estimates that 52% of customers will make a purchase. Part A: How many customers should a salesper

4vir4ik [10]

Answer:

(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b) The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

Step-by-step explanation:

Let<em> </em>the random variable <em>X</em> be defined as the number of customers the salesperson assists before a customer makes a purchase.

The probability that a customer makes a purchase is, <em>p</em> = 0.52.

The random variable <em>X</em> follows a Geometric distribution since it describes the distribution of the number of trials before the first success.

The probability mass function of <em>X</em> is:

$P(X=x)=(1-p)^{x}p$

The expected value of a Geometric distribution is:

$E(X)=\frac{1-p}{p}$

(a)

Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:

$E(X)=\frac{1-p}{p}$

$=\frac{1-0.52}{0.52}\\=0.9231$

This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b)

Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:

$P(X=3)=(1-0.52)^{3}\times0.52\\=0.110592\times 0.52\\=0.05750784\\\approx 0.058$

Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

8 0

3 years ago

If you wanted to make the graph of y=6x+7 less steep. Which equation would you use?

Maurinko [17]

You can change the slope of the line to change the steepness.

8 0

2 years ago

Read 2 more answers

A bus covers a distance of 90km at a uniform speed. Had the speed been 15km/hour it would have taken 30 minutes less for the jou

Brrunno [24]

Answer:

Step-by-step explanation

Let's say d = distance, r = speed and t = time

We know the distance formula is :

distance = speed x time

d = r multiplied by t

d = rt

If the speed is 15km/hr, the time would be 30 minutes shorter.

Since d = rt,

90 = 15t

t = 6,

This means the time taken for the bus to complete the journey at 15km/hr would be 6hrs.

Originally though, the journey takes 30 minutes longer.

So we can say t = 6.5 hrs , and we know d = 90

Now we use the distance formula:

d = rt, since we want to find the original speed, we want to find r.

Speed = distance/time

r = d/t

r = 90/6.5

r = 180/13

Therefore the original speed is 180/13 km/hr

4 0

3 years ago

Two students, Ann and Max, factored the trinomial 4x2-6x -4. Ann factored it as 2(k 2xx+ 1) and Max factored it as (-2)4x+2), In

marishachu [46]

Given trinomial 4x^2-6x-4.

In order to factor a trinomial, we need to factor out greatest common factor (GCF).

In the given trinomial, we have terms 4x^2, -6x, -4.

We can see that all terms can be divided by a greatest number 2.

Therefore, greatest common factor would be 2 there.

We need to factor out 2 first.

On factoring out 2, we get

2(2x^2 -3x -2).

Now, we need to factor out trinomial 2x^2 -3x -2 now.

We can factor a trinomial by applying product sum rule.

We have a=2,b=-3,c=-2.

ac= 2*-2 = -4 and b=-3.

So, we need to find the factors of -4 that add upto -3.

Factors of -4 would be -4 and 1.

Let us replace -3x by -4x +1x in 2x^2 -3x -2 trinomial

2x^2 -3x -2 could be rewrite as 2x^2 -4x +1x -2.

Making it into two groups and factoring out GCF of each group.

We get

(2x^2 -4x) +(1x - 2)

2x(x-2) +1(x-2)

=(x-2)(2x+1)

Therefore, final factors of the trinomial is 2(x-2)(2x+1).

So, Ann factored form 2(x-2)(2x+1) is correct.

8 0

3 years ago

Kevin runs a farm stand that sells apples and raspberries. Each pound of apples sells for $3.50 and each pound of raspberries se

krek1111 [17]

Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Step-by-step explanation:

Given,

Cost per pound of apples = $3.50

Cost per pound of raspberries = $4

Total amount earned = $115

Let,

x represent the pounds of apples sold

y represent the pounds of raspberries sold

According to given statement;

3.50x+4y=115 Eqn 1

y = 2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$3.50x+4(2x)=115\\3.50x+8x=115\\11.50x=115$

Dividing both sides by 11.50

$\frac{11.50x}{11.50}=\frac{115}{11.50}\\x=10$

Putting x=10 in Eqn 2

$y=2(10)\\y=20$

Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago