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Alexxx [7]
2 years ago
8

Jorge deposited $5,000 into an account

Mathematics
1 answer:
Brums [2.3K]2 years ago
4 0

Answer:

<em>$600.00</em>

Step-by-step explanation:

To find the answer we must first <em>divide 3 by 100 to find its actual worth</em>,        <em>3 ÷ 100 = 0.03</em>.  Take <em>0.03 and multiply it by 5,000</em>, and you get<em> 150</em>.  Now we have the <em>annual interest in a year</em>, so lets <em>multiply it by 4 years</em>, and we get <u><em>$600. </em></u>

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Members of the millennial generation are continuing to be dependent on their parents (either living with or otherwise receiving
Morgarella [4.7K]

Answer:

a)

\bf H_0: The mean of adults aged 18 to 32 that continue to be  dependent on their parents is 0.3

\bf H_a: The mean of adults aged 18 to 32 that continue to be  dependent on their parents is greater than 0.3

b) 34%

c) practically 0

d) Reject the null hypothesis.

Step-by-step explanation:

a)

Since an individual aged 18 to 32 either continues to be dependent on their parents or not, this situation follows a Binomial Distribution and, according to the previous research, the probability p of “success” (depend on their parents) is 0.3 (30%) and the probability of failure q = 0.7

According to the sample, p seems to be 0.34 and q=0.66

To see if we can approximate this distribution with a Normal one, we must check that is not too skewed; this can be done by checking that np ≥ 5 and nq ≥ 5, where n is the sample size (400), which is evident.

<em>We can then, approximate our Binomial with a Normal </em>with mean

\bf np = 400*0.34 = 136

and standard deviation

\bf \sqrt{npq}=\sqrt{400*0.34*0.66}=9.4742

Since in the current research 136 out of 400 individuals (34%) showed to be continuing dependent on their parents:

\bf H_0: The mean of adults aged 18 to 32 that continue to be  dependent on their parents is 0.3

\bf H_a: The mean of adults aged 18 to 32 that continue to be  dependent on their parents is greater than 0.3

So, this is a r<em>ight-tailed hypothesis testing. </em>

b)

According to the sample the proportion of "millennials" that are continuing to be dependent on their parents is 0.34 or 34%

c)

Our level of significance is 0.05, so we are looking for a value \bf Z^* such that the area under the Normal curve to the right of \bf Z^* is ≤ 0.05

This value can be found by using a table or the computer and is \bf Z^*= 1.645

<em>Applying the continuity correction factor (this should be done because we are approximating a discrete distribution (Binomial) with a continuous one (Normal)), we simply add 0.5 to this value and </em>

\bf Z^* corrected is 2.145

Now we compute the z-score corresponding to the sample

\bf z=\frac{\bar x -\mu}{s/\sqrt{n}}

where  

\bf \bar x= mean of the sample

\bf \mu= mean of the null hypothesis

s = standard deviation of the sample

n = size of the sample

The sample z-score is then  

\bf z=\frac{136 - 120}{9.4742/20}=16/0.47341=33.7759

The p-value provided by the sample data would be the area under the Normal curve to the left of 33.7759 which can be considered zero.

d)

Since the z-score provided by the sample falls far to the left of  \bf Z^* we should reject the null hypothesis and propose a new mean of 34%.

7 0
2 years ago
What is 21.6 percent as a fraction
Alchen [17]
Fractional number equivalent to 21.6<span> is </span><span>108/<span>5. This is because 108/5=21.6...

Hope this helps! :-)</span></span>
8 0
3 years ago
X2 + 6X + 9 = 0<br> O {0}<br> O {-3,3)<br> O {3}<br> O {-3}
expeople1 [14]

Answer:

x=-3

Step-by-step explanation:

5 0
2 years ago
Which statement is true about the function f(x)= -x?
rosijanka [135]

Answer:

The domain of the graph is all real numbers less than or equal to 0.

Step-by-step explanation:

Hello,

We know that we cannot take square root of negative numbers, so we must have

-x\geq 0 \ \text{ ***multiply by -1, it changes the inequality, so*** } \\ \\\large \boxed{\sf \ \ x\leq0 \ \ }

So the domain of the graph is all real numbers less than or equal to 0.

For information, I attached the graph so that we can verify it.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
1/10x+9/10=1/10(BLANK)
Sonja [21]

Answer:

x=-8

Step-by-step explanation:

1 Simplify 1/10x to x/10.

x/10 + 9/10 = 1/10

2 Join the denominators.

x+9/10 = 1/10

3 Multiply both sides by 10.

x+9 = 1/10×10

4 Cancel 10.

x+9=1

5 Subtract 9 from both sides.

x=1-9

6 Simplify  1-9 to  -8.

x=-8

4 0
2 years ago
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