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Marysya12 [62]
3 years ago
7

The cost of off-campus living for U of O students is normally distributed. The Office of the Registrar estimates that on average

it costs students $1,225 per month to live off-campus. A student group suspects that the average cost of living is lower than what is listed by the registrars office. They decide to conduct a hypothesis test. The student group randomly surveys 21 students and finds that they pay an average of $1,150 per month with a standard deviation of $400. What is the alternative hypothesis
Mathematics
1 answer:
evablogger [386]3 years ago
6 0

Answer:

H1 : μ < 1225

Step-by-step explanation:

The alternative hypothesis in carrying out a statistical test could be explained as a notion which aims to displace or rival an initial position, the null hypothesis.

When declaring an hypothesis, the statement compares the initial or population mean in the hypothesis statement and not the result or outcome of the sample statistic.

In the scenario above :

The null is of the notion that :

H0 : μ = 1225 ;

Hence, the stance of the alternative which is that the mean is lower or less will be written as :

H1 : μ < 1225

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Which statement about the figure MUST be true? Select all that apply.
olga55 [171]
<h2>○=> <u>Correct options</u> :</h2><h2>□\color{plum}\tt\bold{(C) \: SR = 27}</h2><h2>□\color{plum}\tt\bold{(D) \: QR = 54 }</h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

= \tt6n + 3 = 4n + 11

= \tt6n + 3 - 4n = 11

=\tt 2n + 3 = 11

= \tt2n = 11 - 3

= \tt2n = 8

=\tt n =  \frac{8}{2}

\hookrightarrow\color{plum}\tt n = 4

Thus, the value of n = 4

Measure of segment QS :

=\tt 6n + 3

= \tt6 \times 4 + 3

= \tt24 + 3

\color{plum}\tt \: \bold{QS = 6n + 3 = \tt\bold{27}}

Thus, measure of QS = 27

Measure of RS :

=\tt 4n + 11

=\tt 4 × 4 + 11

=\tt 16+11

\color{plum}\tt \: \bold{RS = 4n + 11 = \tt\bold{27}}

Measure of QR :

=\tt 27+27

\color{plum}\tt \: \bold{QR = 27+27 \tt\bold{=54}}

Thus :

▪︎QS = 27

▪︎RS = 27

▪︎QR = 54

Therefore, the correct options are :

▪︎(C) SR = 27

▪︎(D) QR = 54

7 0
3 years ago
An airplane cruises 1 kilometer in 1/12 of a minute. what is its cruising speed?
rewona [7]

Answer:

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?<u>200</u>

5 0
3 years ago
Anyone good with algebra 2??
sweet [91]
A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.

Let's look at your function.

f(x) = \dfrac{x^2 - 16}{6x - 24}

x^2 - 16  is in the numerator. It is defined for every value of x. There is no problem there.

6x - 24  is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.

We set it equal to zero and solve the equation for x.

6x - 24 = 0

6x = 24

x = 4

For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).

The answer is:

x \ne 4

6 0
3 years ago
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00.
liraira [26]

APR refers to annual interest rate i e 4.5%

Difference:-

  • 800-640
  • 160$

Now

Interest:-

  • 160(0.045)
  • 7.20$

Total savings:-

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Remember the code:-

  • Question's calculations mostly given in its options
4 0
2 years ago
Find a measure of each angle indicated ​
mash [69]

Answer:

127 degrees.

Step-by-step explanation:

These angles are corresponding angles so they have the same measurement.

6 0
3 years ago
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