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adelina 88 [10]
3 years ago
13

Cathy fills a 10-cup bucket with pond water. She uses a 2-cup jar to scoop out water from the pond and pours it into her bucket.

How many times does cathy need to scoop water from the pond to fill the bucket?
Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

  5

Step-by-step explanation:

Very early in your study of multiplication tables, you learned that ...

  5 × 2 = 10

Cathy must fill the 2-cup jar 5 times to transfer a total of 10 cups.

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Which of the following graphs is the inverse of f(x) = x2 + 4?
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Answer:

y=-2x^2-4

Step-by-step explanation:

The parabola is wider than it's parent function, y = x^2. Therefore the coefficient, of x^2 (when you refer to quadratic equations it's a) should be greater than 1. Let's take 2.

y = 2x^2

Now it is reflected across the x-axis, so the equation turns to y = -2x^2. The vertex is shifted down 4. Note that it is shifted down, along the y-axis. This makes 'c' (again quadratic equations) -4.

Final Equation: y=-2x^2-4

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A triangular bandana has an area of 54 square inches. The height of the triangle is 6 3/4 inches. What is the legnth of the tria
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7 0
3 years ago
The average hourly wage for a high school student in Illinois is $8.25 per hour with a standard deviation of $.25. Assume hourly
serious [3.7K]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: hourly wage of a high school student

X~N(μ;σ²)

X[bar]= $8.25

σ= $0.25

For a 95% CI for the average hourly wage for<u> 1 </u>high school student:

For this exercise you have to consider the sample size n=1

a) The margin of error of the CI is calculated as:

d= Z_{1-\alpha /2} * σ

1-α: 0.95 ⇒ α:0.05

1-α/2:0.975

Z_{1-\alpha /2}= Z_{0.975}= 1.96

d= 1.96 * 0.25= 0.49

b)

The formula for the interval is

X[bar] ± Z_{1-\alpha /2} * σ

[8.25 ± 0.49]

[7.76; 8.74]

With a 95% you'd expect the interval $[7.76; 8.74] to include the average hourly wage of one high school student in Illinois.

c)

Te calculated interval is $ [7.76; 8.74] the value $9.15 does nor fall within that acceptable range.

I hope this helps!

7 0
3 years ago
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