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zhannawk [14.2K]
2 years ago
10

Help me with my work, please

Mathematics
1 answer:
Luda [366]2 years ago
4 0

Answer:

What do you need help with

Step-by-step explanation:

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A circle has a radius of 7.5 centimeters and a central angle AOB that measures 90 degrees. What is the length of the intercepted
Julli [10]
Since there are 360^{\circ} in a circle, and central \angle AOB = 90^{\circ}, you can see that the part "sliced out" by the central angle is \frac{90^{\circ}}{360^{\circ}} = \frac{1}{4} of the whole circle.

This means that the length of the intercepted arc \stackrel{\frown}{AB} is \frac{1}{4} of the circumference of the circle. So,

\stackrel{\frown}{AB} = \frac{1}{4}(2 \pi r) = \frac{1}{4}(2 \pi (7.5 cm)) = \bf \frac{15 \pi}{4} cm



6 0
3 years ago
Consider an urn containing 8 white balls, 7 red balls and 5 black balls.
weqwewe [10]

Answer + Step-by-step explanation:

1) The probability of getting 2 white balls is equal to:

=\frac{8}{20} \times \frac{7}{19}\\\\= 0.147368421053

2) the probability of getting 2 white balls is equal to:

=C^{2}_{5}\times (\frac{8}{20} \times \frac{7}{19}) \times (\frac{12}{18} \times \frac{11}{17} \times \frac{10}{16})\\=0.397316821465

3) The probability of getting at least 72 white balls is:

=C^{72}_{150}\times \left( \frac{8}{20} \right)^{72}  \times \left( \frac{7}{20} \right)^{78}  +C^{73}_{150}\times \left( \frac{8}{20} \right)^{73}  \times \left( \frac{7}{20} \right)^{77}  + \cdots +C^{149}_{150}\times \left( \frac{8}{20} \right)^{149}  \times \left( \frac{7}{20} \right)^{1}  +\left( \frac{8}{20} \right)^{150}

=\sum^{150}_{k=72} [C^{k}_{150}\times  \left( \frac{8}{15} \right)^{k}  \times \left( \frac{7}{15} \right)^{150-k}]

5 0
1 year ago
Read 2 more answers
Please be kind enough to help me with this question in my geometry test thank you i’m very grateful
WARRIOR [948]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
-4-5+4+ (-5)−4−5+4+(−5}<br><br><br><br> What the answer ?
lyudmila [28]
Answer = -20
-4-5+4+(-5)-4-5+4+(-5) =-20
6 0
3 years ago
Read 2 more answers
I need help on this question
leva [86]

Answer:

15.7

Step-by-step explanation:

The equation for finding the circumference of a circle is

2 x pi x r(radius). Radius is half the diameter.

5/2=2.5

2 x 3.14 x 2.5

=15.7

7 0
3 years ago
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