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2 years ago

Write 2 ratios that are equivalent to 9/12

Mathematics

2 answers:

zhenek [66]2 years ago

7 0

Two ratios are 3:4 and 18:24

dangina [55]2 years ago

3 0

Two equivalent ratios can be:
3/4 and 15/20.

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The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

5 0

3 years ago

What does it mean to square a negative number

Andrej [43]

Answer:

This is because to square a number just means to multiply it by itself. For example, (-2) squared is (-2)(-2) = 4. Note that this is positive because when you multiply two negative numbers you get a positive result.

5 0

3 years ago

Read 2 more answers

How many dogs do I have if I give two away

Helen [10]

Answer:

Two less dogs

Your situation can be defined as x-2, where x was the number of dogs. Since the number of original dogs was not specified, two less dogs is the corrext answer

3 0

3 years ago

The graph shows the amount of a medicine min milligrams, remaining in a patient's body hours after receiving an injection . The

aksik [14]

An exponential function is a function defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>(a) The factor at which the medicine decreased, in 1.5 hour</h3>

From the graph, we have the following ordered pairs

(x,y) = (0,270) and (1.5,80)

Given that:

$y = ab^x$

At point (0,270), we have:

$ab^0=270$

$a= 270$

At point (1.5,80), we have:

$ab^{1.5} = 80$

Substitute 270 for a

$270b^{1.5} = 80$

Divide both sides by 270

$b^{1.5} = 0.2963$

Take 1.5th root of both sides

$b =0.44$

Hence, the medicine decrease in the hour and half at a factor of 0.44

<h3>(b) The factor at which the medicine decreased in the first half hour, and the first hour</h3>

In (a), we have:

The decay factor (b) to be 0.44

This represents the factor at which the medicine decreased throughout.

Hence, the medicine decrease in the first half hour, and the first hour at a factor of 0.44

<h3>(c) The exponential equation</h3>

In (a), we have:

$a= 270$

$b = 0.44$

So, the exponential equation is:

$y =270 * 0.44^x$

In terms of m and h, we have:

$m =270 * 0.44^h$

Hence, the equation relating m to h is $m =270 * 0.44^h$

Read more about exponential equations at:

brainly.com/question/11832081

6 0

2 years ago

Write a function rule for the table. x ƒ(x) –3 –6 –2 –4 –1 –2 0 0

kogti [31]

Answer:

y=-2x

Step-by-step explanation:

The function has the table:

x f(x)

-3 -6

-2 -4

-1 -2

0 0

Looking at the table, f(x) deceases by 2 each time. This is a constant rate of change called slope. This is a linear function and its equation can be written using y = mx+b. m = -2. b is the y-intercept for starting point where x = 0. When x=0, the table shows y=0. So b=0.

This means the rule is y = -2x.

4 0

2 years ago