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2 years ago

Compare and contrast the solutions of 2x-4>6 and 2x-4=6

Mathematics

1 answer:

elena55 [62]2 years ago

8 0

2x-4=6
2x=6+4=10
x=5
for the inequality, however:
2x-4>6
2x>6+4
2x>10
x>5

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It is known that 70% of the customers in a sporting goods store purchase a pair of running shoes. a random sample of 25 customer

NikAS [45]

Let x be the discrete random variable whose value is the number of successes in n trials.

The probability distribution function for x of the binomial distribution B(n,p) is defined as

$B(n,p)= nC_xp^x(1-p)^{n-x}$

Given that the random sample size is $n=25$

let x represent number of customers who purchase running shoes

Let "p" be the probability of customers in a sporting goods store purchase a pair of running shoes.

It is given that 70% of the customers in a sporting goods store purchase a pair of running shoes.

Thus $p=\frac{70}{100}=0.7$

Thus the Probability distribution of x is given by

$P(X=x)= 25C_x(0.7)^x(1-0.7)^{25-x}$ , where $x=0,1,2,3,...,25.$

8 0

2 years ago

gavmur [86]

Answer:

m∠QPM=43°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠NPQ=m∠MPN+m∠MPQ

we have

m∠NPQ=(9x-25)°

m∠MPN=(4x+12)°

m∠MPQ=(3x-5)°

substitute the given values and solve for x

(9x-25)°=(4x+12)°+(3x-5)°

(9x-25)°=(7x+7)°

9x-7x=25+7

2x=32

x=16

Find the measure of angle QPM

Remember that

m∠QPM=m∠MPQ

m∠MPQ=(3x-5)°

substitute the value of x

m∠MPQ=(3(16)-5)=43°

therefore

m∠QPM=43°

7 0

2 years ago

Complete the table of inputs and outputs for the given function g(x)=3-8x.

Andreas93 [3]

Answer:

The answers to your questions are given below.

Step-by-step explanation:

From the question given above,

g(x) = 3 – 8x

Thus, we can complete the table given in question above as follow:

1. Determination of x

g(x) = 0

x =?

g(x) = 3 – 8x

0 = 3 – 8x

Collect like terms

0 – 3 = – 8x

– 3 = – 8x

Divide both side by –8

x = – 3 / –8

x = 3/8

2. Determination of g(x)

x = 0

g(x) =.?

g(x) = 3 – 8x

g(x) = 3 – 8(0)

g(x) = 3 – 0

g(x) = 3

3. Determination of x

g(x) = – 5

x =?

g(x) = 3 – 8x

– 5 = 3 – 8x

Collect like terms

– 5 – 3 = – 8x

– 8 = – 8x

Divide both side by – 8

x = – 8 / – 8

x = 1

4. Determination of g(x)

x = 3

g(x) =.?

g(x) = 3 – 8x

g(x) = 3 – 8(3)

g(x) = 3 – 24

g(x) = – 21

Summary

x >>>>>>>>>>>>>>> g(x)

3/8 >>>>>>>>>>>>> 0

0 >>>>>>>>>>>>>>> 3

1 >>>>>>>>>>>>>>>> – 5

3 >>>>>>>>>>>>>>> – 21

6 0

1 year ago

A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif

VashaNatasha [74]

Answer:

(A)

$P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192$

(B)

Then the cumulative function would be

$CF(x) = 1.25x - 0.25x^5$ if 0<x<1

0 otherwise.

Step-by-step explanation:

(A)

We are looking for the probability that the random variable X is greater than 0.8.

$P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192$

(B)

For any $x$ you are looking for the probability $P(X \geq x)$ which is

$P(X \geq x) = \int\limits_{-\infty}^{x} 1.25(1-t^4) dt = \int\limits_{0}^{x} 1.25(1-t^4) dt = 1.25x - 0.25x^2$

Then the cumulative function would be

$CF(x) = 1.25x - 0.25x^5$ if 0<x<1

0 otherwise.

5 0

2 years ago

In circle p, st = 30 ft. what is the circumference of the circle? 45p ft 15p ft 10p ft 30p ft

skelet666 [1.2K]

The answer to this question is:

In circle p, st = 30 ft. what is the circumference of the circle?
"30p ft"

Hope this helped, Taylenlane7544
Your Welcome :)

5 0

2 years ago