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4 years ago

Solve the following problem.

1 answer:

5 0

47 1/2 divided by 50 1/3

= 95/2 …………. 151/3

= 95/2 times by 3/151

= 285/302 of an hour.

0.9437 as a decimal.

Which is 56.6 minutes.

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on the last 5 quizzes, marco has earned a total of 21 out of 25 possible points. if he has a perfect score on the next several q

nevsk [136]

Using the mean concept, it is found that we will need 15 more points to bring up his average up to 90%.

The mean of a data-set is the <u>sum of all observations divided by the number of observations</u>.

In this problem:

In the first 5 observations, total of 21 out of 25 points, hence the mean for these observations is $\frac{21}{25} = 0.84$ .
In the next n observations, mean of 1.

Hence, the mean is:

$M = \frac{0.84(5) + n}{5 + n} = \frac{4.2 + n}{5 + n}$

We want the mean to be of 0.9, thus:

$M = 0.9$

$\frac{4.2 + n}{5 + n} = 0.9$

$4.2 + n = 0.9n + 4.5$

$0.1n = 0.3$

$n = \frac{0.3}{0.1}$

$n = 3$

3 more testes are need, each worth 5 points, hence, 15 more points are needed to bring up his average up to 90%.

A similar problem is given at brainly.com/question/25323941

6 0

3 years ago

Pls help me it’s due today

Marina86 [1]

Answer:

x = 6.4

Step-by-step explanation:

Set up using proportion and cross multiply to solve:

8/10 = x/8

x = 6.4

5 0

3 years ago

What is 1+1? Need help with my son's online school I never went to school so no one has ever taught me math

goldfiish [28.3K]

Answer:

Step-by-step explanation:

.3.

4 0

4 years ago

Solutions for 2x^2+18x=20, worth a TON, please only 100% answers ! Thank u !

victus00 [196]

Answer:

The solution of the given quadratic equation is 1 and (-10).

Step-by-step explanation:

$2x^2+18x=20$

$x^2+9x=\frac{20}{2}$

$x^2+9x-10=0$

$ax^2+bx+c=0$

Solving equation by quadratic formula:

Here , a = 1,b = 9, c = (-10)

$D=b^2-4ac=(9)^2-4(1)(-10)=121$

$x=\frac{-b+{\sqrt{D}}}{2a}=\frac{(-9)+\sqrt{121}}{2(1)}=1$

$x=\frac{-b-{\sqrt{D}}}{2a}=\frac{(-9)-\sqrt{121}}{2(1)}=(-10)$

The solution of the given quadratic equation is 1 and (-10).

5 0

3 years ago

taurus [48]

Answer:

$x^2 - 2x + 10$ , option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

$i^2 = -1$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

The solutions are:

$x_1 = 1 - 3i, x_2 = 1 + 3i$

We have to find the polynomial. All option have $a = 1$ . So

$(x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10$

The correct answer is given by option b.

6 0

3 years ago