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3 years ago

Please help, find AB

Mathematics

1 answer:

Rom4ik [11]3 years ago

7 0

AB would equal 3.57 or 3.6 rounded as your directions ask because the sides are supposed to be proportional. When you do 21/5, you get 4.2. Then, you can just do 15/4.2 and get 3.57.

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<span>choice B
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3 years ago

Which is the best first step and explanation for solving this system of equations?

Volgvan

Answer:

x=-4/9, y=10/3. (-4/9, 10/3).

Step-by-step explanation:

3x+4y=12

3x=2y-8

--------------

2y-8+4y=12

6y-8=12

6y=12+8

6y=20

y=20/6

simplify,

y=10/3

3x=2(10/3)-8

3x=20/3-8

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x=(-4/3)(1/3)=-4/9

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7 0

3 years ago

In a random sample of 400 residents of Boston, 320 residents indicated that they voted for Obama in the last presidential electi

coldgirl [10]

Answer:

C.I = 0.7608 ≤ p ≤ 0.8392

Step-by-step explanation:

Given that:

Let consider a random sample n = 400 candidates where 320 residents indicated that they voted for Obama

probability $\hat p = \dfrac{320}{400}$

= 0.8

Level of significance ∝ = 100 -95%

= 5%

= 0.05

The objective is to develop a 95% confidence interval estimate for the proportion of all Boston residents who voted for Obama.

The confidence internal can be computed as:

$=\hat p \pm Z_{\alpha/2} \sqrt{\dfrac{ p(1-p)}{n } }$

where;

$Z_{0.05/2}$ = $Z_{0.025}$ = 1.960

SO;

$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.8(1-0.8)}{400 } }$

$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.8(0.2)}{400 } }$

$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.16}{400 } }$

$=0.8 \pm 1.960 \sqrt{4 \times 10^{-4}}$

$=0.8 \pm 1.960 \times 0.02}$

$=0.8 \pm 0.0392$

= 0.8 - 0.0392 OR 0.8 + 0.0392

= 0.7608 OR 0.8392

Thus; C.I = 0.7608 ≤ p ≤ 0.8392

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Answer:

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