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Vsevolod [243]
3 years ago
15

Given a = -3, b=4 and c= -5, evaluate a + b + c. 04 0-6 -12

Mathematics
2 answers:
Rainbow [258]3 years ago
6 0

Answer: 0 - 4

Step-by-step explanation:

0 - 4 = -4

-3 + 4 = 1

1 - 5 = -4

White raven [17]3 years ago
5 0

Answer:

a+b+c

= -3+4+(-5)

= 1-5

= -4

So,the answer is -4.Although I don't see it among the options, but I'm sure the answer is -4

 I hope I could help you. :)

Step-by-step explanation:

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In a game, a player has to guess a 3-digit code in an attempt to unlock a trunk containing a prize. If the digits are to be chos
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2 years ago
Two hundred dollars is increased by 25% and the result decreased by 25%
erastova [34]

Answer:

If $200 increased by 25%, your result would be $250

If it then decreased by 25%, your result would be $187.5

Step-by-step explanation:

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Multiply 250 and 25% and then add that value to get 187.5

5 0
2 years ago
Read 2 more answers
A student researcher compares the heights of American students and non-American students from the student body of a certain coll
OleMash [197]

Answer:

98% confidence interval for the true mean difference between the mean height of the American students and the mean height of the non-American students is [0.56 inches , 6.04 inches].

Step-by-step explanation:

We are given that a random sample of 12 American students had a mean height of 70.2 inches with a standard deviation of 2.73 inches.

A random sample of 18 non-American students had a mean height of 66.9 inches with a standard deviation of 3.13 inches.

Firstly, the Pivotal quantity for 98% confidence interval for the difference between the true means is given by;

               P.Q. =  \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }  ~ t__n__1-_n__2-2

where, \bar X_1 = sample mean height of American students = 70.2 inches

\bar X_2 = sample mean height of non-American students = 66.9 inches

s_1 = sample standard deviation of American students = 2.73 inches

s_2 = sample standard deviation of non-American students = 3.13 inches

n_1 = sample of American students = 12

n_2 = sample of non-American students = 18

Also, s_p=\sqrt{\frac{(n_1-1)s_1^{2} +(n_2-1)s_2^{2} }{n_1+n_2-2} } = \sqrt{\frac{(12-1)\times 2.73^{2} +(18-1)\times 3.13^{2} }{12+18-2} }  = 2.98

<em>Here for constructing 98% confidence interval we have used Two-sample t test statistics.</em>

So, 98% confidence interval for the difference between population means (\mu_1-\mu_2) is ;

P(-2.467 < t_2_8 < 2.467) = 0.98  {As the critical value of t at 28 degree

                                        of freedom are -2.467 & 2.467 with P = 1%}  

P(-2.467 < \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } < 2.467) = 0.98

P( -2.467 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } < {(\bar X_1-\bar X_2)-(\mu_1-\mu_2)} < 2.467 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } ) = 0.98

P( (\bar X_1-\bar X_2)-2.467 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } < (\mu_1-\mu_2) < (\bar X_1-\bar X_2)+2.467 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } ) = 0.98

<u>98% confidence interval for</u> (\mu_1-\mu_2) =

[ (\bar X_1-\bar X_2)-2.467 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } , (\bar X_1-\bar X_2)+2.467 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } ]

= [(70.2-66.9)-2.467 \times {s_p\sqrt{\frac{1}{12} +\frac{1}{18} } } , (70.2-66.9)+2.467 \times {s_p\sqrt{\frac{1}{12} +\frac{1}{18} } }]

= [0.56 , 6.04]

Therefore, 98% confidence interval for the true mean difference between the mean height of the American students and the mean height of the non-American students is [0.56 inches , 6.04 inches].

3 0
3 years ago
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