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melamori03 [73]
3 years ago
11

45 children attend preschool the number of two-year-olds is 1/2 the number of three-year-olds the number for your old is the sam

e as the number of three-year-olds
Mathematics
1 answer:
Mkey [24]3 years ago
6 0
There are 9 two-year-olds and 18 each of 3 and 4 year olds.

To solve this we could write and solve the equation below, letting x be the number of 3 and 4 year olds.

x/2 + x + x = 45
x + 2x + 2x = 90
5x = 90
x = 18

From here, we just divide 18 by 2 to get the number of 2 year olds.
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Write the equation of a line, in Point slope form that passes through (5,6) and has a slope of -3​
Mademuasel [1]

Answer:

y = -3x + 21

Step-by-step explanation:

(5,6)

y = mx + b

6 = -3 × 5 + b

solving for b

b = 6 - (-3)(5)

b = 21

Therefore,

y = -3x + 21

7 0
2 years ago
In the following hypothetical scenarios, classify each of the specified numbers as a parameter or a statistic.
soldi70 [24.7K]

Answer:

Explained below.

Step-by-step explanation:

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

(a)

There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a <u>parameter</u>.

(b)

In a 2015 Gallup poll of 1025 adults living in the United States, 53% said they trust the judicial branch of the federal government. The 53% here is a <u>statistic</u>.

(c)

The survey results from 12 local parks show the mean height of 60 ft for mature oak trees. The mean height of 60 ft is a <u>statistic</u>.

(d)

The 72 employees at ABC company have a mean income of $52,317 with a standard deviation of $36,829. The $36,829 is a <u>parameter</u>.

(e)

In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a <u>statistic</u>.

4 0
3 years ago
I need the domain range and function. With an explanation
erastovalidia [21]
<h3>Answers:</h3>

Problem 1

  • Domain = -3 < x \le 3, interval notation (-3, 3]
  • Range = -3 \le y < 3, interval notation [-3, 3)
  • Is it a function? Yes

Problem 2

  • Domain = x \ge -2, interval notation [-2, \infty)
  • Range = All real numbers, interval notation (-\infty, \infty)
  • Is it a function? No

Problem 3

  • Domain = -4 \le x < 3, interval notation [-4, 3)
  • Range = -4 < y \le 3, interval notation (-4, 3]
  • Is it a function? Yes

Problem 4

  • Domain = All real numbers, interval notation (-\infty, \infty)
  • Range = y \le 4, interval notation (-\infty, 4]
  • Is it a function? Yes

==================================================

Explanations:

  1. The left most point is when x = -3, and we are not including this value due to the open hole. The other endpoint is included because it is a filled in circle. The domain is therefore -3 < x \le 3 which in interval notation is (-3, 3]. We have the curved parenthesis meaning "exclude endpoint" and the square bracket says "include endpoint". The range is a similar story but we're looking at the smallest and largest y values. Though be careful about which endpoint is open/closed. We have a function because it passes the vertical line test.
  2. The smallest x value is x = -2. There is no largest x value because the arrows say to go on forever to the right. We can say the domain is x \ge -2 which in interval notation is [-2, \infty). The range is (-\infty, \infty) to indicate "all real numbers". This graph fails the vertical line test, so it is not a function. The vertical line test is where we check to see if we can pass a vertical line through more than one point on the curve. In this case, such a thing is possible which is why it fails the test.
  3. This is the same idea as problem 1, though note the endpoints are flipped in terms of which has an open circle and which doesn't. It is not possible to draw a single vertical line to have it pass through more than one point on the curve, so it passes the vertical line test and we have a function.
  4. This is a function because it passes the vertical line test. The domain is the set of all real numbers due to the arrows in both directions. Any x value is a possible input. The range is y \le 4 which is the same as saying (-\infty, 4] in interval notation. This is because y = 4 is the largest y value possible. There is no smallest y value due to the arrows.

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3 years ago
What is the value of K?
sladkih [1.3K]

Answer: its A

Step-by-step explanation:

Because

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3 years ago
A cube has a volume of 1/8. If the cube holds 24 of these sugar cubes, what is the total volume of the box?
svetlana [45]

\frac{1}{8}  \div 24 = 3
8 0
3 years ago
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