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Andreas93
8 days ago
7

Which expression is equivalent to 486 – 9 + 6 + 33 × 2?

Mathematics
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Each trapezoid in the figure below is congruent to trapezoid ABDC.
Inessa [12570]

Response:

B: 32 cm

To clarify, one should only sum the external measurements

6+6+4+4+3+3+3+3=32 cm

3 0
2 months ago
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Gill wears a device that counts the number of steps she takes every day. One day she did onefifteenth of her steps before breakf
tester [12383]
Answer: 6000 steps Step-by-step explanation: 1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3. Therefore, 2/3 equals 12000 steps, meaning 1/3 is 6000 steps. Overall, she should tally 18000 steps, and she has recorded 12000 steps, hence 18000-12000=6000 steps.
6 0
2 months ago
Carmen is going to roll an 8-sided die 200 times. She predicts that she will roll a multiple of 4 twenty-five times. Based on th
AnnZ [12381]

Answer:

Carmen's estimate is too low, since rolling 200 times \frac{1}{4} results in a total of 50.

Step-by-step explanation:

Initially, we will define the sample space for this scenario.

The sample space is Ω = {1,2,3,4,5,6,7,8}

For the event A: "Rolling an 8-sided die to get a multiple of 4"

The probability for event A is P(A)=\frac{2}{8}=\frac{1}{4}

This is because there are two multiples of 4 (4 and 8) out of a total of eight numbers (1 through 8).

Next, considering the random variable X: "Total count of multiples of 4 if she rolls an 8-sided die 200 times"

X can be described as following a Binomial distribution.

X ~ Bi (n,p)

X ~ Bi (200,\frac{1}{4})

Where n is the number of rolls and p is the probability of success, defined as rolling a multiple of 4.

The mean for this variable is

E(X)=np=200.\frac{1}{4}=50

Thus, we conclude that Carmen's prediction is low, as rolling 200 times \frac{1}{4} yields 50.

4 0
2 months ago
Read 2 more answers
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