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olga_2 [115]
2 years ago
14

Find the roots x^2-13x+30=0 (numbers only)

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
3 0

Answer:

Find the roots of x^2-13x+30=0 by solving for x

x= 10,3

Step-by-step explanation:

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Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1406 referee​ calls, with the re
erastova [34]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for men and women players. The population proportions of men and women challenges for calls would be p1 and p2

P1 - P2 = difference in the proportion of men and women challenges for calls.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For old dough

x1 = 416

n1 = 1406

P1 = 416/1406 = 0.3

For new dough,

x2 = 217

n2 = 778

P2 = 217/778 = 0.28

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (416 + 217)/(1406 + 778) = 0.29

1 - pc = 1 - 0.29 = 0.71

z = (P1 - P2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.3 - 0.28)/√(0.29)(0.71)(1/1406 + 1/778) = 0.02/√0.00553857907

z = 0.99

Since it is a two tailed test, the curve is symmetrical. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score to the left of 0.99 is 1 - 0.84 = 0.16

We would double this area to include the area in the left tail of z = - 0.99 Thus

p = 0.16 × 2 = 0.32

Since 0.1 < 0.5, we would accept the null hypothesis.

p value = 0.337

Since 0.05 < 0.32, we would accept the null hypothesis

7 0
2 years ago
Find the 92nd term of the arithmetic sequence 11, 19, 27,
fgiga [73]

Answer:

739

Step-by-step explanation:

a sub 92 = 11 + (92 - 1) * 8

a sub 92 = 11 + 728

a sub 92 = 739

5 0
2 years ago
2. Use the distributive property to rewrite the following expression.<br> 3(x+5)
baherus [9]

The answer is 3x+15

You multiply the x and 5 by 3 to get 3x and 15

6 0
3 years ago
Is the fraction 14/42 equal to 6/2
PilotLPTM [1.2K]

Answer:

No

Step-by-step explanation:

6/2=3

14/42=1/3=0.33333333333333333333

5 0
3 years ago
Read 2 more answers
If P(x) = P<img src="https://tex.z-dn.net/?f=_%7Bn%7D" id="TexFormula1" title="_{n}" alt="_{n}" align="absmiddle" class="latex-f
seropon [69]

If P(x) = p_nx^n + p_{n-1}x^{n-1}+\ldots+p_0 is divided by (x-a), then P(x) = (x-a) \cdot Q(x) + R(x) for some polynomials Q,R. Moreover, \deg R < 1 (because \deg (x-a) = 1), so there exists  \alpha \in \mathbb{R} such that R(x) = \alpha for all x \in \mathbb{R}. But if we calculate P(a), it turns out that P(a) = (a-a)\cdot Q(a) + \alpha, so R(x) = \alpha = P(a). \blacksquare

3 0
3 years ago
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