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3 years ago

The sum of three consecutive odd numbers is 51 what are the three numbers

Mathematics

2 answers:

Mama L [17]3 years ago

6 0

15, 17, 19 son tres numero impares súmalos y comprueba dan 51

Andrew [12]3 years ago

5 0

Consecutive odd integers are separated by 2. The 3 consecutive odd integers are

n + 2

(n + 2) + 2 = n + 4

Given:

n + (n + 2) + (n + 4) = 51

3n + 6 = 51

n = (51 - 6)/3 = 15

n + 2 = 15 + 2 = 17

n + 4 = 15 + 4 = 19

so your final numbers are 15, 17, and 19

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WILL MAKE BRAINLIEST!!! Find the correct angle measure for angle b in each figure.

shepuryov [24]

Answer:

98, 27

Step-by-step explanation:

In the first figure, the two angles are supplementary, meaning that their sum would equal 180 degrees, giving the equation: b+82 = 180 --> b=98

In the second figure, the two angles are complementary, meaning that they add up to 90 degrees, giving the equation: b+63 = 90 --> b=27

7 0

2 years ago

Teen Court is a juvenile diversion program designed to circumvent the formal processing of first-time juvenile offenders within

valentinak56 [21]

Answer:

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

Step-by-step explanation:

Step(i):-

Given first sample size (n₁ ) = 57

Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period

First sample proportion

$p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{18}{57} =0.3157$

Second sample proportion

$p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{11}{54} =0.2037$

Null Hypothesis : p₁⁻ = p₂⁻

Alternative Hypothesis : p₁⁻ ≠ p₂⁻

Step(ii):-

Test statistic

$Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where

$P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2} }{n_{1} +n_{2} }$

$P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612$

Q = 1 - P = 1 - 0.2612 = 0.7387

$Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }$

Z = 1.4017

Level of significance ∝ =0.05

The tabulated value Z₀.₀₅ = 1.96

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

7 0

3 years ago

PLEASE ANSWER ASAP !!!!!!!!!!(x + 5)2 + y² = 13 2x + y = -2

Ymorist [56]

Answer:

(1 + y)(x + 2y)

hope this is right

Step-by-step explanation:

5 0

3 years ago

Eliminate the parameter.

GenaCL600 [577]

Answer:
y = 24x³ - 1

Explanation:
We have:
x = $\frac{1}{2} t$
This means that:
t = 2x ...............> I

We are also given that:
y = 3t³ - 1 .............> II

Substitute with I in II to eliminate the t as follows:
y = 3t³ - 1
y = 3*(2x)³ - 1
y = 3*8x³ - 1
y = 24x³ - 1

Hope this helps :)

3 0

3 years ago

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Bogdan [553]

picture? because i cant do anything if i cant see it

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4 years ago