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3 years ago

This is due in 30 minutes please help!!!

Mathematics

2 answers:

katen-ka-za [31]3 years ago

8 0

They are both rational because a rational number is any integer, fraction, terminating decimal, or repeating decimal

horrorfan [7]3 years ago

3 0

The answer to this question is -154

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Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will

Nesterboy [21]

Correction is the question: 6 $\frac{1}{2}%$ % = 6.5%

Answer:

Amount to be repaid is $335798.833

Step-by-step explanation:

Amount of loan = $332,200

Rate of interest = 6.5%

time = 2months = 2/12 = 1/6 years

The amount of interest is simple interest

SI = $\frac{P * R * T}{100}$

= $\frac{ 332200 * 6.5 *1 }{100 * 6}$

= $3598.833

Final amount to be repaid = 332200+ 3598.833

= $335798.833

6 0

3 years ago

A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

4 years ago

8912 butterflies on one branch they estimate 1000 times as large. How many butterflies were at the site in all?

coldgirl [10]

<span>There are 8 912 butterflies on one branch.
And they estimated to have 1000 times as large.
now, find the total number of the butterflies found in their site.
=> 8 912 x 1000 (because it is stated that the number of butterflies in all is 1 000 times as large as the given number of butterflies in a one branch.)
=> Multiply 8 912 by 1 000
=> 8 912 000
Thus, the total of butterflies in their site is approximately 8 912 000</span><span>

</span>

6 0

3 years ago

Read 2 more answers

A line that passes through the point (1, –1) and parallel to another line whose slope is 1.

Mars2501 [29]

Parallel lines have same slope so so far the new equation looks like this
$y = 1x + b \\ y = mx + b$
now you plug in you points or coordinates to find b or solve for the y-intercept
$- 1 = 1(1) + b$
$- 1 = 1 + b$
$- 1 = 1 + b \\ - 1 = - 1$
$- 2 = b$
now that you have your b your final solution is
$y = 1x - 2 \: or \: y = x - 2$

5 0

3 years ago

If you roll a dice four times, what is the chance that you roll two 3s?

Rufina [12.5K]

Answer:

11.57%

Step-by-step explanation:

The probability of rolling two 3s is the product of the probability of rolling two 3s and two not-3s, and the number of ways that combination of rolls can appear.

<h3>combinations of rolls</h3>

Of the four die rolls, we want two of them to be 3s. The 3s can appear anywhere in the sequence. For example, we could have 33xx, or xx33, or any of a number of other combinations (where x is a "not 3"). The total number of ways two 3s can appear an a sequence of 4 rolls is ...

C(4, 2) = 4!/(2!(4 -2)!) = 4·3/(2·1) = 6

<h3>probability of two 3s and two not-3s</h3>

The probability of rolling a 3 on a fair 6-sided die with one face labeled 3 is presumed to be 1/6. Then the probability of rolling something else is ...

1 -1/6 = 5/6

So, two 3s and two not-3s in a given sequence have a probability of ...

(1/6)(1/6)(5/6)(5/6) = 25/1296

<h3>two 3s in 4 rolls</h3>

The probability that four rolls of the die will show exactly two 3s is the product of the probability it can happen and the number of ways it can happen:

(25/1296) × 6 = 25/216 ≈ 11.57%

_____

The attachment shows the probability function of a calculator gives the same result.

3 0

3 years ago