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3 years ago

Use the discriminant to find the number of real solutions of the equation 3x^2 – 5x + 4 = 0

2 answers:

8 0

To use the discriminant, first identify a, b, and c. In your equation a= 3 b = -5 and c = 4. Now plug into the discriminant b^2 - 4ac. Substituting yields (-5)^2 - 4(3)(4). Simplifying, 25 - 48 = -23. Since the discriminant has a negative value, there is no real solution to this equation.

Virty [35]3 years ago

4 0

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What is the exact circumference of the circle?

fredd [130]

Data:

Formula: diameter = 2*radius

Formula: (Circle length)
 $C = 2* \pi *r$

Solving: Using the data
diameter = 2*radius
20 = 2*r
2r = 20
$r = \frac{20}{2}$
$\boxed{r = 10\:ft}$

Now, replace in the circumference length formula
 $C = 2 \pi *r$
$C = 2 \pi *10$
$\boxed{\boxed{C = 20 \pi \:ft}}\end{array}}\qquad\quad\checkmark$

Answer:
The exact circumference of the circle is $20 \pi \:ft$

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3 years ago

Do the ratios 1:5 and 3:4 form a proportion?

bagirrra123 [75]

Answer

Step-by-step explanation:

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3 years ago

Andrew has one book that is 2 3/7 inches thick and a second book that is 3.56 inches thick. If he stacks the books, about how ta

MA_775_DIABLO [31]

Answer:

6 inches

Step-by-step explanation:

So first you would make 2 3/7 a dismal. So that is 2.43. Then you add 2.43 and 3.56 to get 5.99 inches tall. The you round to the nearest whole number to get 6 inches.

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4 years ago

A car rental agency advertised renting a car for $23.95per day and $0.34 per mile.if trevor rents this car for 2 days, how many

sesenic [268]

Answer:

He can drive 153 miles. PLEASE GIVE BRAINLIEST

Step-by-step explanation:

$23.95 x 2 = $47.90

$100 - $47.90 = $52.10

$52.10 ÷ .34 = 153.23 = 153 miles

7 0

3 years ago

A nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 35

Ber [7]

Answer:

Probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.

Step-by-step explanation:

We are given that a nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 350 with a standard deviation of 220.

A group of 4 Americans is selected.

Let $\bar X$ = sample mean number of hours of television watched per year

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 350

$\sigma$ = standard deviation = 220

n = sample of Americans = 4

Now, the probability that a group of 4 Americans watch more than 400 hours of television per year is given by = P( $\bar X$ > 400 hours)

P( $\bar X$ > 400) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{400-350}{\frac{220}{\sqrt{4} } }$ ) = P(Z > 0.45) = 1 - P(Z $\leq$ 0.45)

= 1 - 0.6736 = 0.3264

The above probability is calculated by looking at the value of x = 0.45 in the z table which has an area of 0.6736.

Hence, the probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.

6 0

3 years ago