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3 years ago

Please help and thank you

Mathematics

2 answers:

Diano4ka-milaya [45]3 years ago

7 0

$\sqrt{1600 \times 4}$

40*2

= 80

Answer :C

ella [17]3 years ago

4 0

80

Explanation:
√ 1600(4)
√ 16 √ 100 √ 4
4x10x2
80

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Solve the quadratic equation by completing the square.<br> QUESTION ATTCHED BELOW!!!!!!!!!!

Mariulka [41]

Answer:

x ≈ - 9.41, x ≈ - 6.59

Step-by-step explanation:

Given

x² + 16x + 62 = 0 ( subtract 62 from both sides )

x² + 16x = - 62

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(8)x + 64 = - 62 + 64

(x + 8)² = 2 ( take the square root of both sides )

x + 8 = ± $\sqrt{2}$ ( subtract 8 from both sides )

x = - 8 ± $\sqrt{2}$

Hence

x = - 8 - $\sqrt{2}$ ≈ - 9.41

x = - 8 + $\sqrt{2}$ ≈ - 6.59

4 0

2 years ago

Read 2 more answers

In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre

Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that $p = 0.09$

41 people arrested for DUI in Illinois are selected at random.

This means that $n = 41$

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158$

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ .

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791$

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

$E(X) = np = 41*0.09 = 3.69$

d. What is the standard deviation of the number of repeat offenders?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83$

4 0

2 years ago

The length of a rectangle is eight feet more than its width. The area of the rectangle is six hundred nine square feet. What are

vodomira [7]

You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0

The width of the rectangle is 21 feet, the length is 29 feet.

_____
Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.

5 0

2 years ago

Suppose f(x)=3x^2-2x <br> Find f (-4)

Lerok [7]

f(-4) = 3(-4)^2 - 2(-4)

f(-4) = 3(16) + 8

f(-4) = 48 + 8

f(-4) = 56

I think the answer is 56 :)

Please give BRAINIEST :)

7 0

3 years ago