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2 years ago

Three times the sum of half Carlita's age and 3 is at least 12. What values represent Carlita's possible age?

Mathematics

2 answers:

a_sh-v [17]2 years ago

7 0

Answer:

Carlita is at least 2 years old

Step-by-step explanation:

Let x = Carlita's age

3[(1/2)x + 3] ≥ 12 Divide both sides by 3.

(1/2)x + 3 ≥ 4

(1/2)x ≥ 1

x ≥ 2

cestrela7 [59]2 years ago

5 0

Answer:

at least 6

Step-by-step explanation:

3(.5x+3)>12

1.5x+9>12

1.5>9

x>6

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Answer:

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2 years ago

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The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a "flip

lapo4ka [179]

The table of this question is in the attachments.

Answer and Step-by-step explanation: Standard deviation is a measure of how spread the data is from the mean. It is calculated as:

s = √∑(x - μ)² / n - 1

where μ is the mean of the set.

Range is the difference between the highest and lowest value of a data set.

(a) Range of Traditional course:

range = 80.4 - 56

range = 24.4

Range of "flipped" course:

range = 92.6 - 63.5

range = 29.1

Comparing ranges, the "flipped" course has more dispersion than the traditional.

(b) Standard Deviation of Traditional course:

mean = 71.6

s = $\sqrt{\frac{(70.3 - 71.6)^{2}+...+(59.1-71.6)^{2}}{13-1}$

s = 8.95

Standard Deviation of "flipped" course:

mean = 77.6

s = $\sqrt{\frac{(75.5 - 77.6)^{2}+...+(76.9-77.6)^{2}}{13-1}$

s = 8.3

Comparing standard deviation, traditional course has more dispersion.

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Changing one score increase in almost 22 times the range for this category.

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2 years ago

Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t

zalisa [80]

Answer:

62.93%

Step-by-step explanation:

We have to solve it by a Poisson distribution, where:

p (x = n) = e ^ (- l) * l ^ (x) / x!

Where he would come being the number of birds that there would be in 40 minutes, we know that in 2 hours, that is 120 minutes there are 13, therefore in 40 there would be:

l = 13 * 40/120

l = 4,333

Now, we have p (x> 3) and that is equal to:

p (x> 3) = 1 - p (x <= 3)

So, we calculate the probability from 0 to 3:

p (x = 0) = 2.72 ^ (- 4.33) * 4.33 ^ (0) / 0! = 0.01313

p (x = 1) = 2.72 ^ (- 4.33) * 4.33 ^ (1) / 1! = 0.0568

p (x = 2) = 2.72 ^ (- 4.33) * 4.33 ^ (2) / 2! = 0.12310

p (x = 3) = 2.72 ^ (- 4.33) * 4.33 ^ (3) / 3! = 0.17767

If we add each one:

0.01313 + 0.0568 + 0.12310 + 0.17767 = 0.3707

replacing:

p (x> 3) = 1 - 0.3707

p (x> 3) = 0.6293

Which means that the probability is 62.93%

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2 years ago

Each week, Allen earns $70 for every shift he works at the diner and $12 for every dog-walking job. He uses the expression 70x +

Gwar [14]

Answer:

A. coefficients: 70, 12; variables: x, y.

B. 2 terms: 70x, 12y; separated by an addition symbol

C. 70x

Step-by-step explanation:

We will answer the questions in the context of this problem. In other problems, the meaning of "coefficient", "variable", and "term" may be different.

A. The coefficients are the numbers; the variables are the letters. Then the coefficients are 70 and 12; the variables are x and y.

B. Each product is a term. Terms are separated by the + sign. There are two terms in this expression, one on either side of the + sign. When an expression is written with no parentheses, the terms are separated by + or - signs. (Often, we think of the minus sign as being part of the coefficient of the term. Then we can say terms are separated by + signs. 10x + (-32y), for example.)

C. When you match the coefficients to the numbers in the problem statement, you see that the number matching the earnings at the diner is $70 per shift. If we assume that x represents the number of shifts worked at the diner, then the term 70x will represent the total earned from the diner. It is the product of the earnings per shift and the number of shifts.

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2 years ago

Simplify x + 2/ x^2 - 6x - 16 divided by 1/9x

djverab [1.8K]

Hello there!

Simplify the expression
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Hope this helps! :)
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2 years ago