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2 years ago

5

Someone help me im trying not to fail this year-

2 answers:

Tamiku [17]2 years ago

8 0

Answer:

x-y=-3

Step-by-step explanation:

Thepotemich [5.8K]2 years ago

6 0

Answer:

5

Step-by-step explanation:

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The amount of money spent on textbooks per year for students is approximately normal.

Ostrovityanka [42]

Answer:a

a

$336.04 < \mu < 443.96$

b

The margin of error will increase

c

The margin of error will decreases

d

The 99% confidence interval is $0.4107 < p < 0.4293$

Step-by-step explanation:

From the question we are told that

The sample size $n = 19$

The sample mean is $\= x = \$\ 390$

The standard deviation is $\sigma = \$ \ 120$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

So

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.96 * \frac{120}{\sqrt{19} }$

=> $E = 53.96$

The 95% confidence interval is

$\= x - E < \mu < \= x + E$

=> $390 - 53.96 < \mu < 390 - 53.96$

=> $336.04 < \mu < 443.96$

When the confidence level increases the $Z_{\frac{\alpha }{2} }$ also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

$n \ \ \alpha \ \ \frac{1}{E^2 }$

So if the sample size increases the margin of error decrease

The sample proportion is mathematically represented as

$\r p = \frac{210}{500}$

$\r p = 0.42$

Given that the confidence level is 0.99 the level of significance is $\alpha = 0.01$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }* \sqrt{ \frac{\r p (1- \r p )}{n} }$

=> $E = 0.42 * \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }$

=> $E = 0.0093$

The 99% confidence interval is

$\r p - E < p < \r p + E$

$0.42 - 0.0093 < p < 0.42 + 0.0093$

$0.4107 < p < 0.4293$

4 0

3 years ago

Creating a One-Variable Equation to Model and Solve a Problem

guajiro [1.7K]

Answer:

The hourly fee for rototiller is $3 per hour.

Step-by-step explanation:

We are given the following in the equation:

The rental company charged an initial fee of $43 with an additional fee per hour.

Let h represents the hourly fee.

The family paid $64 after renting the rototiller for 7 hours.

Thus, we can write the equation:

$43 + 7h = 64$

Solving the equation, we get,

$43 + 7h = 64\\7h = 64-43\\7h = 21\\\Rightarrow h = 3$

Thus, the hourly fee is $3 per hour.

Equation:

$C(x) = 43 + 3x$

where C(x) is the cost function and x is the number of hours rototiller is rented.

The hourly fee for rototiller is $3 per hour.

4 0

3 years ago

Write each number in scientific notation 1 27.5

babymother [125]

1 = 1 x 10 exponent 0
27.5 = 2.75 x 10 exponent 1

8 0

3 years ago

Read 2 more answers

Please explain how to do this!

irakobra [83]

Ask ur mom she can knows

5 0

3 years ago

If LQPS is a right angle and mLQPR=71° what is m LRPS

creativ13 [48]

Answer:

A. 19 degrees.

7 0

3 years ago