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3 years ago

In a game, my friend is making 105 dollars per 45 seconds. How much money will he make in an hour?

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

______

Good evening ,

______________

First of all : 3600÷45=80

So the amount per hour is : 80×105 = 8 400 ($)

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Can someone help me please im being timed-

makvit [3.9K]

Answer:

the set of whole number since it is defined as positive integers + zero

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2 years ago

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Michael is running for president. The proportion of voters who favor Michael is 0.8. A random sample of 100 voters is taken.

Anton [14]

Answer:

Michael is running for president. The proportion of voters who favor him is 0.3. A simple random sample of 100 voters is taken.

What is the expected value :: n*p = 100*0.8 = 80

standard deviation:: sqrt(n*p*q) = sqrt(80*0.2) = 16

where q is proportion of voters who do not favor Michael. (q=0.2)

and shape of the sampling distribution is binomial distribution which is approximately a bell shaped.

-------------------------

what is the probability that the number of voters in the sample who will not favor Michael will be more than 16

P(X < 16.0) = P((x - 20) / 4.0) < (16.0 - 20) / 4.0) = P(Z < -1.00) = .1587

P(X > 16.0) = 1 - 0.1587 = 0.8413

5 0

3 years ago

Finding a polynomial of a given degree with given zeros

galben [10]

Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)

One of them is real and the other two are complex conjugate roots

Since the real root is 4, then

x = 4

Since the complex root is (1 - i), then

The other root will be the conjugate of it (1 + i)

x = (1 - i)

x = (1 + i)

To find f(x) we will multiply the three factors of it

We can get the factors from the zeroes

$x=4$

Subtract 4 from both sides

$\begin{gathered} x-4=4-4 \\ x-4=0 \end{gathered}$

The first factor is (x - 4)

$\begin{gathered} x=1-i \\ x-(1-i)=(1-i)-(1-i) \\ x-1+i=0 \end{gathered}$

The second factor is (x - 1 + i)

The third factor is (x - 1 - i)

$f(x)=(x-4)(x-1+i)(x-1-i)$

We will multiply them to find f(x)

$\begin{gathered} (x-1+i)(x-1-i)= \\ x^2-x-ix-x+1+i+ix-i-(i^2)= \\ x^2-2x+1-(-1)= \\ x^2-2x+1+1= \\ x^2-2x+2 \end{gathered}$

Multiply it by (x - 4)

$\begin{gathered} f(x)=(x-4)(x^2-2x+2) \\ f(x)=x^3-2x^2+2x-4x^2+8x-8 \\ f(x)=x^3-6x^2+10x-8 \end{gathered}$

The answer is

$f(x)=x^3-6x^2+10x-8$

5 0

1 year ago

Please answer this 1 1/3-5/6

iren2701 [21]

11/3-5/6
=(22-5)/6
=17/6

6 0

2 years ago

i need help with this i need the area found on the rectangle but ion know how to find it, plzzzz helpppppp!!!!!!!!!!! oh and ple

Ber [7]

Step-by-step explanation:

Tan30=4/adj

adj Tan 30= 4

adj=4/tan30

adj=6.93m

Area=L×b

4×6.93=27.72m

8 0

3 years ago