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pashok25
6 days ago
10

Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins

to solve the equation for h but runs out of time. Her partial work is shown below: p = 4l + 4w + 4h 2. StartFraction p Over 4 EndFraction equals StartFraction 4 l plus 4 w plus 4 h Over 4. 3. StartFraction p Over 4 EndFraction equals l plus w plus h. = l + w + h h = 4. H equals StartFraction p Over 4 EndFraction minus blank. – Which expression should follow the subtraction in Hallie's equation?
Mathematics
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Raymond can paint 5/8 of a wall in 16minutes. How long would it take him to paint 1/3 of a wall?
PIT_PIT [12445]

Answer:

128/15 minutes or 8.5 minutes

Step-by-step explanation:

Utilizing the unitary method,

The duration to paint 5/8 of the wall is 16 minutes.

Consequently, the time to paint the entire wall is calculated as 16 × 8/5.

Thus, the time required to paint 1/3 of the wall amounts to 16 × 8/5 × 1/3.

4 0
4 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
3 months ago
Read 2 more answers
Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?
Leona [12618]
<span>3[x + 3(4x – 5)] = 15x – 24
3x + 12x - 15 = 15x - 24
15x - 15 = 15x - 24
</span>
3 0
2 months ago
Read 2 more answers
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