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Dennis_Churaev [7]
3 years ago
15

The base of a triangle is 5.3 inches.The height of the triangle is 6.8 inches.What is the area of the triangle

Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0
It is 18.02. First you multiply 5.4 by 6.8 because it is a triangle you have to divide it by 2. 5.4x6.8=36.04 36.04/2=18.02
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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

3 0
3 years ago
Find the exact solution to the equation. Show your work for credit. (1 point) four to the power of quantity twelve minus four x
padilas [110]
4^(12-4x)=256  realize that 256 is 4^4  so we really have:

4^(12-4x)=4^4  taking the natural log of both sides

(12-4x)ln4=4ln4  dividing both sides by ln4

12-4x=4  subtract 12 from both sides

-4x=-8  divide both sides by -4

x=2


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olga nikolaevna [1]

Answer:

Hmm

Step-by-step explanation:

5 0
2 years ago
the perimeter of a picture frame is 24 inches if the width of the picture frame 5 inches what is the length of the picture frame
Ket [755]
You would divide 24 by 5 so the length would end up being: 4.8 in 
                  Hope it helps!
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Prime numbers less than 50
SVETLANKA909090 [29]

Answer:

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,83,89,97

Step-by-step explanation:

those are the prime numbers

3 0
2 years ago
Read 2 more answers
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