More free points this time a big amount. Cause I’m the goat

Tia cut a 4 meters and 8 centimeters wire in to 10 equal pieces. Marta cut a 540 centimeters wire into 9 equal pieces. How much

Black_prince [1.1K]

540/9 = 60cm

408/10 = 40.8

60-40.8 = 19.2cm longer

5 0

4 years ago

Can anyone help please?

eduard

Answer:

2x+y=5.

Step-by-step explanation:

slope(m)=-2

passed through point (0,5)=(x1,y1)

then

the equation is

(y-y1)=m(x-x1)

or (y-5)=-2(x-0)

or (y-5)=-2x

or 2x+y=5 is the equation.

4 0

3 years ago

2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,00

svlad2 [7]

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

55% of the students live within five miles of you, thus $p = 0.55$ .

Item a:

This probability is P(X = 0) when n = 3(none of the first three living within five miles of you) multiplied by 0.55(the fourth does live within five miles), hence:

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

$P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125$

$p = 0.091125(0.55) = 0.0501$

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

$E = \frac{q}{p}$

In this problem, $p = 0.55$ , and 1 trial, thus $q = 1$ , hence:

$E = \frac{1}{0.55} = 1.82$

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

$S = \frac{\sqrt{q(1 - p)}}{p}$

Hence, since $q = 1, p = 0.55$ :

$S = \frac{\sqrt{0.45}}{0.55} = 1.22$

The standard deviation is of 1.22 students.

Item d:

This probability is $P(X = 3)$ when $n = 5$ , hence:

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

$P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369$

There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

$E(X) = np$

Hence, since $n = 5, p = 0.55$ :

$E(X) = 5(0.55) = 2,75$

It is expected that 2.75 students live within five miles of you.

A similar problem is given at brainly.com/question/25343741

7 0

3 years ago

even built a scale model of the Gateway Arch in St.Louis the actual height of the Gateway Arch is 630 feet the height of the mod

suter [353]

This is eazy 630=90x
divide 90 on both sides
7=x
x=in
7feet=1in

8 0

3 years ago

Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}

HACTEHA [7]

ANSWER
$x = - 11\: or \: x = 3$

EXPLANATION

The quadratic equation given to us is

${x}^{2} + 8x = 33$

We add half the square of the coefficient of
$x$
to both sides of the equation to obtain,

${x}^{2} + 8x + {(4)}^{2} = 33 + {(4)}^{2}$

This implies that,
${x}^{2} + 8x + {(4)}^{2} = 33 + 16$

The right hand side simplifies to

${x}^{2} + 8x + {(4)}^{2} = 49$

The left hand side is a perfect square.

This gives us

${(x + 4)}^{2} = 49$

We take the square root of both sides

$x + 4 = \pm \sqrt{49}$

This evaluates to

$x + 4 = \pm 7$

We make x the subject.

$x = - 4\pm 7$

We now split the square root sign to get

.

$x = - 4 - 7 \: or \: x = - 4 + 7$

$x = - 11\: or \: x = 3$

The correct answer is A.

7 0

3 years ago