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anastassius [24]
2 years ago
5

Evelyn has 80 pens in a drawer.

Mathematics
1 answer:
Elenna [48]2 years ago
5 0

Answer:

there is a 15/80 chance  she will pick a black pen

there is also a 65/80 chance she will pick a blue pen

Step-by-step explanation:

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^DEF and ^RSQ are shown in the diagram below
lakkis [162]

Answer:

53.3 degrees

Step-by-step explanation:

∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:

DE corresponds to RS

EF corresponds to SQ

DF corresponds to RQ.

Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.

The ratio of their corresponding sides = DE/RS = 6/3 = 2

EG/SQ = 8/4 = 2

DF/RQ = 4/2 = 2.

Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.

Therefore, their corresponding angles would be equal.

Thus, m<Q = m<F

Let's find angle F

m<F = 180 - (98 + 28.7)

m<F = 53.3°

Since <F corresponds to <Q, therefore,

m<Q = 53.3°

6 0
3 years ago
Circle o has a circumference of 36π cm. what is the length of the radius, r? 6 cm 18 cm 36 cm 72 cm
nydimaria [60]
The circumference of a circle is C = 2<span>πr
Given C = 36</span><span>π, we can solve for the radius r:
r = C/2</span>π = 36π/2<span>π = 36/2 = 18 cm (ANSWER)
</span>
6 0
3 years ago
Read 2 more answers
James said that he would need 25 red beads to make
o-na [289]

Answer:Elena uses 12 red beads to make 4 bracelets. How many red beads will Elena need to make 12 bracelets? How many red beads will Elena need to make 20 bracelets? You can make a table showing the number of bracelets that can be made with different numbers of red beads. The pairs of numbers in each column show the ratio ofred beads to bracelets. Notice the ratios are all equivalent.

Number of Red Beads 3 6 12 24 36 48 60 72 Number of Bracelets 1 2 4 8 12 16 20 24  

The table shows Elena will need 36 red beads to make 12 bracelets. Elena will need 60 red beads to make 20 bracelets. James said that he would need 25 red beads to make 75 bracelets. Is he correct? How did he get that answer?

Step-by-step explanation:

5 0
3 years ago
What is the domain and range for the function f(x) = x2 + 4x - 21?
bezimeni [28]

Answer:

Domain: (−∞,∞),{x|x∈R}

Range: [−25,∞),{y|y≥−25}



3 0
3 years ago
The owner of an auto repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following
labwork [276]

Answer:

(d)0.6

Step-by-step explanation:

(a)Frequency Distribution

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Frequency\\-----------&--\\0-4&4\\5-9&8\\10-14&5\\15-19&2\\20-24&1\\--&--\\Total&20\end{array}\right|

(b)The relative frequency distribution.

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Relative Frequency\\-----------&--\\0-4&4/20=0.2\\5-9&8/20=0.4\\10-14&5/20=0.25\\15-19&2/20=0.1\\20-24&1/20=0.05\\--&--\\Total&1\end{array}\right|

(c)The cumulative frequency distribution.

\left|\begin{array}{c|c|c}$Waiting Time(in Minutes)&$Frequency&$Cumulative Frequency\\-----------&--&---\\0-4&4&4\\5-9&8&12\\10-14&5&17\\15-19&2&19\\20-24&1&20\\--&--&--\\Total&20\end{array}\right|

(d)The proportion of customers needing an oil change who wait 9 minutes or less.

Proportion of customers needing an oil change who wait 9 minutes or less.

=\dfrac{12}{20} \\\\=0.6

5 0
3 years ago
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