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Alla [95]
2 years ago
13

Jonathan had a balance of $120 dollars in his bank account at the beginning of the month. During the first week of the month he

wrote checks for $45 and for $28. What is his balance at the end of the month.
Mathematics
1 answer:
tiny-mole [99]2 years ago
7 0

Answer:

$47

Step-by-step explanation:

$120 starting out and he spent $45 + $28 of that $120

so 120-45+28=47

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Leon read 5/7 of the pages in his book.He has 28 pages left to read.How many pages has he read already?
Fittoniya [83]
You would first divide 28 by 7.
28 / 7 = 4.
Now multiply 4 by 5.
4 X 5 = 20.

Therefore, Leon read 20 pages.
4 0
2 years ago
Choose the equation of a circle with radius 6 and center (2, -3).
Rufina [12.5K]

Answer:  (x-2)^2 + (y+3)^2 = 36\\\\

Work Shown:

(x-h)^2 + (y-k)^2 = r^2\\\\(x-2)^2 + (y-(-3))^2 = 6^2\\\\(x-2)^2 + (y+3)^2 = 36\\\\

Note that (h,k) = (2,-3) is the center and r = 6 is the radius. The last line is not expanded out using the FOIL rule because its common practice to leave it in (x-h)^2 + (y-k)^2 = r^2\\\\ form. This form allows the reader to quickly determine the center and radius (rather than have to do a lot of algebraic steps before hand).

3 0
2 years ago
The perimeter of a rectangle is 46 cm,<br> The length is 13 cm. What is the width?
Firlakuza [10]

Answer:

10 cm

Step-by-step explanation:

we know that the perimeter of a rectangle= 2(l+w)

given that the perimeter is 46 cm and length is 13 cm, so by putting the values we get,

2(13+w)=46

= 26+2w=46 (opening the brackets)

= 2w= 46-26

= 2w=20

= w=20/2

w= 10 cm

Cheers.

7 0
3 years ago
A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from
lys-0071 [83]

Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

\mu = 3, \sigma = 0.87

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.

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)}

In this problem, we have that the parameters are given as follows:

n = 4, p = 0.75.

Hence the mean and the standard deviation are given as follows:

  • E(X) = np = 4 x 0.75 = 3.
  • \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0
1 year ago
How do u simplify this expression 8.9-1.4x+(-6.5x)+3.4?
Mumz [18]

Answer:

-5.1x + 12.3

Step-by-step explanation:

Combine like terms:  first, combine the x terms, obtaining -5.1x.

Next, combine the constants, obtaining 12.3.

The simplified expression is -5.1x + 12.3

7 0
3 years ago
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