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tia_tia [17]
3 years ago
6

Indicate which property is illustrated in Step 5.

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

D)

Step-by-step explanation:

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Solve the equation for all values of x.<br> ∣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><em><u>THE</u></em><em><u> </u></em><em><u>RÅDIÜS</u></em><em><u> </u></em><em><u>ØF</u></em><em><u> </u></em><em><u>THE</u></em><em><u> </u></em><em><u>CYLI</u></em><em><u>NDER</u></em><em><u> IS</u></em></h2><h2><em><u>\frac{1}{2} x \: units</u></em></h2>

<em><u>THE</u></em><em><u> </u></em><em><u>HEI</u></em><em><u>GHT</u></em><em><u> OF</u></em><em><u> </u></em><em><u>CYLI</u></em><em><u>NDER</u></em><em><u> IS</u></em><em><u> </u></em><em><u>4</u></em><em><u>X</u></em><em><u> </u></em><em><u>UNITS</u></em><em><u> </u></em><em><u>.</u></em>

<em><u>☞</u></em><em><u>ÙR</u></em><em><u> ÃÑSWER</u></em><em><u> </u></em><em><u>HØPE</u></em><em><u> IT</u></em><em><u> HELPS</u></em><em><u> YOU</u></em><em><u> ✌️</u></em>

5 0
3 years ago
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