Indicate which property is illustrated in Step 5.

Solve the equation for all values of x. ∣4x + 4 ∣- 10 = 3x

sertanlavr [38]

Answer:

X = 6 , – 2

Step-by-step explanation:

| 4x +4| - 10 =3x

4x +4 - 10 = 3x

4x - 3x = 10 - 4

x = 6

_____o___o____

– (4x + 4) – 10 = 3x

– 4x – 4 – 10 = 3x

3x + 4x = – 4 – 10

7x = – 14

x = – 14/ 7

x = – 2

I hope I helped you^_^

6 0

2 years ago

the sum of two numbers is 44. the smaller number is five-sixths of the larger number. what are the numbers?

Sindrei [870]

X+y=44
x=5/6y

x+y=44
5/6y+y=44
11/6y=44
11y=264
y=24
x=5/6y=(5/6)*24=20
Answers: numbers are 20, 24

7 0

3 years ago

5) If Oskar bisects the diameter of a circle, what is he trying to construct?

pav-90 [236]

Answer:

Center = (5,-3) and radius = 7

Step-by-step explanation:

(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.

(6) The given equation is :

$(x-5)^2+(y+3)^2=49$

The general equation of circle is given by :

$(x-a)^2+(y-b)^2=r^2$ ...(1)

Where

(a,b) are the coordinates of the centre and r is the radius.

The given equation can be written as :

$(x-5)^2+(y+3)^2=7^2$ ..(2)

Comparing equation (1) and (2) we get :

a = 5, b = -3 and r = 7

So,

Center = (5,-3) and radius = 7

Hence, this is the required solution.

8 0

2 years ago

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

6 0

3 years ago

Which statement about the cylinder are true? Select two options

shutvik [7]

Answer:

$\ur \: answer)$

Step-by-step explanation:

<h2>THE RÅDIÜS ØF THE CYLINDER IS</h2><h2> $\frac{1}{2} x \: units$ </h2>

THE HEIGHT OF CYLINDER IS 4X UNITS .

☞ÙR ÃÑSWER HØPE IT HELPS YOU ✌️

5 0

3 years ago