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FrozenT [24]
3 years ago
9

Solve the system:

Mathematics
2 answers:
AlladinOne [14]3 years ago
7 0

ello ahahahhahahahahahahaha

marysya [2.9K]3 years ago
4 0

Answer:

390

Step-by-step explanation:

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2. Express each of the following as a rational number in the form of p/q<br> Where q≠0
ANTONII [103]

Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)²    (b) (7/9)³  (c) (-2/3)⁴

Solution,

(a) (3/7)²

(\dfrac{3}{7})^2=\dfrac{9}{49}

(b) (7/9)³

(\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}

(c) (-2/3)⁴

(\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}

Hence, this is the required solution.

4 0
3 years ago
What is the slope of the line that goes through the points (1,-5) and (4,1)?
Anna007 [38]

Answer:

D. 2

Step-by-step explanation:

(1 - -5)/(4 - 1) = 6/3 = 2

3 0
3 years ago
Read 2 more answers
What is an inequality for this graph?
shtirl [24]

Answer:

  B. y ≤ |x – 2| + 4

Step-by-step explanation:

Shading is <em>below</em> the <em>solid</em> line, so the appropriate relation symbol is "less than or equal to" (≤).

Shading is <em>below</em> when y values less than those on the line are part of the solution set.

The line is <em>solid</em> when it is part of the solution set (dashed, otherwise). It is part of the solution set when y-values <em>equal to</em> those on the line are solutions to the inequality.

4 0
3 years ago
Guests at a pizza party are seated at three tables. The small table has 5 seats and 2 pizzas. The medium table has 7 seats and 3
bagirrra123 [75]

Answer:

the 5 seated table with the 2 pizzas got more each.

Step-by-step explanation:

\frac{5}{2} = 2\frac{1}{y2} pieces each

\frac{7}{3} = 2\frac{1}{3} pieces each

\frac{12}{5} = 2\frac{2}{5} pieces each

Now change the fractions s that they all have a common denominator.

2\frac{1}{2} = 2\frac{15}{30}

2\frac{1}{3} = 2\frac{10}{30}

2\frac{2}{5} = 2\frac{15}{30}

Thus meaning that the 5 seated table with the 2 pizzas got more each.

6 0
3 years ago
In a sample of 230 teenagers, 202 would like to have smaller class sizes at their school. Find the sample
marishachu [46]

Answer:

The sample proportion is 0.88.

The margin of error is of 0.04.

The interval likely to contain the true population proportion is (0.84,0.92).

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

Margin of error:

The margin of error is of:

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

Sample of 230 teenagers, 202 would like to have smaller class sizes at their school.

This means that n = 230, and that the sample proportion is:

\pi = \frac{202}{230} = 0.88

The sample proportion is 0.88.

Standard 95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

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

M = 1.96\sqrt{\frac{0.88*0.12}{230}}

M = 0.04

The margin of error is of 0.04.

Confidence interval:

Sample proportion plus/minus margin of error. So

0.88 - 0.04 = 0.84

0.88 + 0.04 = 0.92

The interval likely to contain the true population proportion is (0.84,0.92).

5 0
3 years ago
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