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1 year ago

Find the length of the third side. If necessary, round to the nearest tenth.

Mathematics

2 answers:

schepotkina [342]1 year ago

4 0

Answer:

4.5

Step-by-step explanation:

To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that $a^{2}+b^{2} =c^{2}$ . Plugging in the values of the two legs given, we get $2^{2} +4^{2} =c^{2} =20$ . We can take the square root of each side and get that $c=\sqrt{20} =4.5$ .

Anit [1.1K]1 year ago

4 0

Answer:

Try 4.5 or 5

Step-by-step explanation:

I measured it up and I estimated 4.5 at most

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Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving

lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

$P(x=0) = ^nC_x P^x (1-P)^n^-^x$

$P(x=0) = ^5C_0 (0.4)^0 (1-0.4)^5^-^0$

$P(x=0) = ^5C_0 (0.4)^0 (0.60)^5$

$P(x=0) = 0.778$

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

$= 1 - P(X = 0)$

$= 1 - ^5C_0 (0.4)^0 * (0.6)^5$

$= 1 - 0.0778$

$= 0.9222$

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

$^5C_0 (0.4)^0 (0.6)^5 + ^5C_1 (0.4)^1 (0.6)^4 + ^5C_2 (0.4)^2 (0.6)^3$

$= 0.6826$

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

$= 1 - [^5C_0 (0.4)^0 (0.6)^5 + ^5C_1 (0.4)^1 (0.6)^4 + ^5C_2 * (0.4)^2 (0.6)^3]$

$= 1 - 0.6826$

$= 0.3174$

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0

2 years ago

Students measure the length of their feet in inches. The data is shown in the frequency table below. If the data were displayed

skelet666 [1.2K]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Slope 1/3 passing through the points (-3,-4)

saw5 [17]

Answer:

y=1/3x-3

Step-by-step explanation:

use the eqation y-y1 = m(x-x1)

plug in slop as m and points as x and y

so now you have --> y-(-4)=1/3(x-(-3))

two negatives = a positive --> y+4=1/3(x+3)

distribute the 1/3 --> y+4= 1/3x + 1

subtract 4 from both sides --> y= 1/3x - 3

6 0

2 years ago

What is the sum o 12/13+(-1/13

Vlad [161]

12/13=.923076923 (-.33333333) -.307692305 or -.30

7 0

2 years ago

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 12$ and $a^5 b^5 = 7776$. what is the value of $a$ in this ordered

LenaWriter [7]

This is the concept of algebra, given that ab^4=12 and a^5b^5=7776, the value if a will be found as follows:
ab^4=12
a=12/b^4
also;
a^5=7776/b^5
thus;
a=(7776/b^5)^(1/5)
a=6/b
thus the value of a will be:
6/b=12/b^4
dividing both sides by b we get:
6=12/b^3
multiplying both sides by b^3 we get
6b^3=12
b^3=2
hence;
b=2^(1/3)

8 0

3 years ago