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bearhunter [10]
3 years ago
10

Insert 2 rational numbers between -1/3 and -1/2

Mathematics
1 answer:
Natalka [10]3 years ago
7 0

Answer:

-11/24 and -4/9

Step-by-step explanation:

A rational number is a fraction in the form a/b where both a and b are integers and b is not equal to zero.

Given the numbers -1/3 and -1/2, to place two numbers between them, we have to first find the width between the two numbers.

Width = -1/3 - (-1/2) = -1/3 + 1/2 = 1/2 - 1/3 = 1/6

Since two numbers are to be placed between -1/3 and -1/2, we have to divide the width into 3 which results to 1/6 ÷ 3 = 1/18

The first number placed is -1/3 - 1/18 = -11/24

The second number is -11/24 - 1/18 = -4/9

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A website offers a coupon such that each customer has a
sweet-ann [11.9K]

Answer:

62.29%

Step-by-step explanation:

The probability of Aya being offered a coupon on at least one of the six days she visits the website is 100% minus the probability that she is not offered a coupon on any of the six days, which is described by a binomial probability with zero successes in six trials with a probability of succes p = 0.15.

P = 1 - (\frac{6!}{(6-0)!0!}* p^0*(1-p)^{6-0})\\P = 1 - (1* 1*(1-0.15)^{6})\\P=0.6229=62.29\%

The probability that Aya will be offered a coupon on at least one of the days she visits the website is 62.29%.

8 0
3 years ago
Read 2 more answers
What are the x-intercepts of the equation?<br> <img src="https://tex.z-dn.net/?f=r%28x%29%20%3D%20x-1%2Fx%2B4" id="TexFormula1"
cestrela7 [59]

Answer:

<u>The only x-intercept is x = 1</u>

Step-by-step explanation:

The equation is:

r(x)=\frac{x-1}{x+4}

We can substitute y for r(x), to write in the notation:

r(x)=\frac{x-1}{x+4}\\y=\frac{x-1}{x+4}

To get y-intercept, we put x = 0

and

To get x-intercept, we put y =0

We want to find x-intercepts here, so we substitute 0 into y and solve for x. Shown below:

y=\frac{x-1}{x+4}\\0=\frac{x-1}{x+4}\\0(x+4)=x-1\\0=x-1\\x=1

<u>The only x-intercept is x = 1</u>

3 0
3 years ago
How many 2-digit numbers can be formed using only the digits 2, 3, 5 and 6, if the numbers are not repeated within a number?
larisa [96]

(1) Repetition allowed : There are 4 choices for both positions, so 4 × 4 = 16 2-digit numbers can be formed. (2) Repetition not allowed : There are 4 options for tens position, and three options for ones position. Therefore, 4 × 3 = 12 2-digit numbers can be formed.

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3 years ago
Question 10 of 15
AysviL [449]

Answer:

If Angelo can Mow his lawn in 2/3 of an hour or 40 minutes, it means that after 1/2 or 30 minutes 75% of the lawn will be mowed, this is because if he can mow the lawn in 40 and we want to know how much he can mow in 30 minutes this gives us the fraction 30/40 which is also equal to 3/4 or 75%. meaning that the correct picture is the one that shows that 3/4 of the lawn is mowed

7 0
3 years ago
Applying the Segment Addition Postulate
blsea [12.9K]

Answer:

144

Step-by-step explanation:

Find: Length of segment BC

CD+DB=BC

3x+8+4x+10=BC

7x+18=BC

BC also equals 8x (given on the screen shot)

7x+18= 8x

x=18

18 times 8 = 144

Check:

3( 18) + 8 + 4(18) + 10

54+8 + 72+10

64+ 80= 144  TRUE

7 0
3 years ago
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