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3 years ago

Write a proof for the biconditional using the inverse and contrapositive.

1 answer:

7 0

I don’t really understand the question at hand but let me try to help

X is equal to 4 we know this because because the sign in between the number means greater than or equal to so 3 x 4 equals 12 and that makes the equation on right true and on the left x is also equal to for which also makes the statement on the right true as well so I think X = 4

I hope I was able to help and If not I’m sorry

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How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that

zimovet [89]

Answer:

61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

Step-by-step explanation:

Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.

To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?

Solution :

At 95% confidence the z-value is z=1.96

The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes

The population standard deviation is s=12 minutes

n is the number of sample

The formula of margin of error is given by,

$E=\frac{s\times z}{\sqrt{n}}$

Substitute the value in the formula,

$3=\frac{12\times 1.96}{\sqrt{n}}$

$3=\frac{23.52}{\sqrt{n}}$

$\sqrt{n}=\frac{23.52}{3}$

$\sqrt{n}=7.84$

Squaring both side,

$n=61.4656$

Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

6 0

3 years ago

Read 2 more answers

What is the GCF and LCM of -21 and 80? Please Help! Explanation Please! :)

Gekata [30.6K]

Answer:

It's on ur most recent version of this question

3 0

3 years ago

Find a polynomial f(x) of degree 4 that has the following zeros. 0, -5, 8, -2

Roman55 [17]

Answer:

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0

Step-by-step explanation:

Explanation:-

Given zeros are 0 ,-5,8,-2

x =0 , x=-5 ,x=8 and x=-2

(x-0) , ( x+5) , (x-8) and (x+2)

The polynomial function with degree '4'

(x-0)(x-(-5)(x-8)(x-(-2) =0

x ( x+5) (x-8) (x+2) =0

(x² +5x)(x-8)(x+2) =0

(x³ -8 x²+5x² -40 x)(x+2) =0

( x³ -3 x² - 40 x) (x +2) =0

x⁴ + 2 x³ - 3 x³- 6 x²-40 x²- 80 x =0

x⁴ - x³ -46 x² -80x =0

Final answer:-

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0

3 0

3 years ago

K(t) = 13t – 2 k(3) =

Maru [420]

Since t=3

What do have to do is just set it for 3.

13(3) -2

k(3) = 37

4 0

3 years ago

Solve the inequality (13+2x) -4>39 Express the solution in set notation

SashulF [63]

Answer:

x > 15

Step-by-step explanation:

simplify both sides of the inequality

2x + 9 > 39

subtract 9 from both sides

2x + 9 - 9 > 39 -9

2x > 30

divide both sides by 2

2x/2 > 30/2

x > 15

4 0

3 years ago