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Natali [406]
3 years ago
14

The probability that Scott will win his next tennis match is \frac{3}{5}

Mathematics
1 answer:
blagie [28]3 years ago
6 0

3/5 is the probability that he will win, you must find a fraction which adds to make 100%.

2/5 would be the fraction for his probability to lose.

0.4 or 40%.

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U.S. postal regulations require that a package can have a maximum combined length and girth (distance around) of 108 in. A shipp
Eduardwww [97]

Answer: The maximum length that can be used is 56 inches.

Step-by-step explanation:

Since we have given that

Width of package = 14 inch

Height of package = 12 inch

Let the length of package be 'l'.

Combined length and girth i.e. distance around = 108 inches.

So, According to question, we get that

l+2(w+h)=108\\\\l+2(14+12)=108\\\\l+2\times 26=108\\\\l+52=108\\\\l=108-52\\\\l=56\ inches

Hence, the maximum length that can be used is 56 inches.

4 0
3 years ago
Write all the factors of <br> 28
artcher [175]
The factors are the following : 1, 2, 4, 7, 14, 28.
5 0
2 years ago
Read 2 more answers
8.42 x 10^3, Between which of the following pairs of numbers does the above number lie? A. .0083 and .0084 B. .0084 and .0085 C.
Varvara68 [4.7K]
<span>8.42 x 10^3
</span>Use PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)

Solve exponent first
<span>8.42 x 10^3
</span>8.42 x 1000

Solve the rest
8.42 x 1000
8420

8420 is between 
D.) 8400 and 8500

8 0
3 years ago
Read 2 more answers
Give the equation of the line passing through the point (20,2)that is perpendicular to y=−4x.
Cerrena [4.2K]

Answer:

y-2 = 1/4(x-20)  point slope form

y = 1/4x -3  slope intercept form

Step-by-step explanation:

y = -4x

The slope is -4

The slope that is perpendicular is the negative reciprocal

- (1/-4) = 1/4

The slope of our new line is 1/4

We have a point and the slope, so we can use point slope form

y-y1 = m(x-x1)

y-2 = 1/4(x-20)

If we want the line in slope intercept form, distribute

y-2 = 1/4x -5

Add 2 to each side

y-2+2 = 1/4x -5+2

y = 1/4x -3

5 0
3 years ago
PLEASE HELP meeeeeeee
BigorU [14]
<h3>Answer: Distance between x intercepts is 1 unit.</h3>

======================================================

Explanation:

Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x

f(x) = -2x+2

0 = -2x+2

2x = 2

x = 2/2

x = 1

Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.

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

Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).

First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.

m = (y2-y1)/(x2-x1)

m = (3-6)/(1-0)

m = -3/1

m = -3 is the slope

The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.

So with m = -3 and b = 6, we see that g(x) = -3x+6.

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

Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top

g(x) = -3x+6

0 = -3x+6

3x = 6

x = 6/3

x = 2 is the x intercept of g(x)

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

In summary, we found...

  • x = 1 is the y intercept of f(x)
  • x = 2 is the y intercept of g(x)

Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.

6 0
3 years ago
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