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WINSTONCH [101]
2 years ago
12

Victor tossed a paper cup and recorded how the cup landed each time. He organized the results as shown below. Find the experimen

tal probability that the cup will land on its side. Express your answer as a fraction in simplest form.
Right side up- 12 times
Upside down- 7 times
On its side- 21 times
Mathematics
1 answer:
yawa3891 [41]2 years ago
8 0

Answer:

28/40

Step-by-step explanation:

12+21+7=40

21 times on its side

21/40 cannot be simplified

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For how many integers $n$ is it true that $\sqrt{n} \le \sqrt{4n - 6} < \sqrt{2n + 5}$?
ale4655 [162]

\bf \sqrt{n}\leqslant \sqrt{4n-6}

\bf \sqrt{n}< \sqrt{2n+5}\implies \stackrel{\textit{squaring both sides}}{n< 2n+5}\implies 0\leqslant 2n - n + 5 \\\\\\ 0 < n+5\implies \boxed{-5 < n} \\\\\\ \stackrel{-5\leqslant n < 2}{\boxed{-5}\rule[0.35em]{10em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}2}


namely, -5, -4, -3, -2, -1, 0, 1.  Excluding "2" because n < 2.

6 0
3 years ago
Ivan has 15 yards of green felt and 12 yards of blue felt to make 3 quilts if Ivan uses the same total number of yards for each
mixas84 [53]

Answer:

9 yards

Step-by-step explanation:

Let the length of each quilt be 'l'.

Given:

Length of green felt (g) = 15 yards

Length of blue felt (b) = 12 yards

Total number of quilts = 3

Now, the length of 3 quilts is given as:

Total\ length=l+l+l=3l ----- (1)

As per question:

Total length = Length of green felt + Length of blue felt

Total length = g+b

Total\ length=15+12=27--------- (2)

Now, comparing equations (1) and (2), we get:

3l=27\\\\l=\frac{27}{3}\\\\l=9\ yards

Hence, each quilt measures 9 yards in length.

3 0
3 years ago
Determine the value of the variable from the image below.
GuDViN [60]

Answer:

<h2>x=29</h2>

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about:</h3>
  • right angle
  • equation
  • PEMDAS
<h3>to solve:</h3><h3>x</h3><h3>let's solve:</h3>

<u>a </u><u>right</u><u> angle</u><u> </u><u>contains </u><u>9</u><u>0</u><u>°</u> (always)

according to the question

x+3+x-1+x+1=90

3x3=90

x=87

x=29

<h2>solved</h2>

3 0
3 years ago
Is this a function ? Yes or no and why or why not
never [62]

Answer:

Yes

Step-by-step explanation:

Yes it is a function, because graph is intersecting y - axis only once.

3 0
3 years ago
True or false? A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative
Alex787 [66]

Answer:

False.

Step-by-step explanation:

The diagonals are at right angles ( because of the negative reciprocal slopes)

so it could be a square or a rhombus.

3 0
3 years ago
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