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Anika [276]
2 years ago
12

Can someone help me with this ?

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
7 0

Answer:

50

Step-by-step explanation:

12x + 15 = 5x +  85   {Subtract 15 from both sides}

12x + 15 - 15 = 5x + 85 - 15  

          12x = 5x + 70        {Subtract 5x from both sides}

12x - 5x   = 70

         7x = 70         {Divide both sides by 7}

          x = 70/7

x = 10

∠U = 5x = 5*10 = 50

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What does a letter with a line over it mean
Helga [31]

Step-by-step explanation:

The line above the letter means "complement". If X is a set, the the complement of X (denoted by X with a line above it) is the set of all things not in X...If X is a set, then the complement of X (denoted by X with a line above it) is the set of all things not in X.

Sorry if it was complicated

7 0
2 years ago
How is the graph of Y=√X) -5 translated from the graph of √X ?
Tom [10]
Shifted 5 units to the left.
8 0
3 years ago
Carol wants to build a fence around her
yaroslaw [1]

Answer:

540$

Step-by-step explanation:

9x9 = 81

9 + 9 + 9 + 9 = 36

36 x 15 =540

5 0
3 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
Acellus
aksik [14]

9514 1404 393

Answer:

  {-8, -4, -2, -1, 1, 2, 4, 8}

Step-by-step explanation:

Possible rational roots are positive and negative divisors of the constant 8:

  {-8, -4, -2, -1, 1, 2, 4, 8}

_____

<em>Additional comment</em>

This polynomial has no rational roots. Its two real roots are both negative and irrational.

7 0
2 years ago
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