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djverab [1.8K]
3 years ago
14

Consider the conditional statement shown.

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
6 0
Hello!

First of all, 6 and 10 are not prime numbers as they both have at least two pairs of factors (one factor pair plus one and itself). 

Anything multiplied by two is even. Therefore, a) 2 counterexamples the statement. Just to show why 7 doesn't work, seven multiplied by 3 is 21, which is odd, and 7 times 7 is 49, and 7 times 5 is 35 (all prime multipliers). The only one that works is two.

I hope this helps!
miv72 [106K]3 years ago
6 0

Answer: 2

Step-by-step explanation:

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Answer:

(-1,0)

Step-by-step explanation:

Point B is located one position to the left on the x-axis resulting in a negative x-value in the coordinate pair, and Point B is located 0 units up on the graph resulting in a y-value of 0. Therefore, (-1,0) are the coordinates.

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Answer:

$201.60

Step-by-step explanation:

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3 years ago
Find CD, given that point G is the centroid of
andrey2020 [161]

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CG=\cfrac{2}{3}CD\implies 17.7=\cfrac{2CD}{3}\implies 3(17.7)=2CD \\\\\\ \cfrac{3(17.7)}{2}=CD\implies 26.55=CD

7 0
2 years ago
Consider the following functions:
Nina [5.8K]

Answer:

  1

Step-by-step explanation:

(f+g)(1) = f(1) +g(1) = -1 + 2 = 1

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The pair (1, 2) in the definition of g tells you g(1) = 2.

4 0
3 years ago
One of the questions Rasmussen Reports included on a 2018 survey of 2,500 likely voters asked if the country is headed in right
kap26 [50]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

553 - No

70 - Not Sure

384 - Yes

Total = (553 + 70 + 384) = 1007

Proportion who do think country is headed in the right direction :

P = yes / total = 384/1007 = 0.381

b.) Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.381 = 0.619

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.381(0.619)/1007

Margin of error = 0.030

C.)

95% confidence interval for heading in the right direction:

P ± margin of error

P ± 0.030

Lower boundary = 0.381 - 0.030 = 0.351

Upper boundary = 0.381 + 0.030 = 0.411

(0.351 ; 0.411)

D.)

Confidence interval for people who don't think :

P = 553 / 1007 = 0.549

Confidence interval = P ± margin of error

Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.549 = 0.451

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.549(0.451)/1007

Margin of error = 0.031

P ± margin of error

P ± 0.031

Lower boundary = 0.549 - 0.031 = 0.518

Upper boundary = 0.549 + 0.031 = 0.580

(0.518 ; 0.580)

E.)

The interval with smaller error margin is ; 0.030 (those who think country is headed in the right direction because sample proportion is farther from .5 / farther from 1)

6 0
3 years ago
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