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Lunna [17]
3 years ago
5

What is the least whole number “x” for which 2x > 11?

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0

Answer:

6

Step-by-step explanation:

Simplifying inequalities is almost the same as simplifying equations. So, in this case, we can divide both sides by two to isolate the variable x:

2x > 11

÷2    ÷2

x > 5.5

Now, we need to find the least whole number of x that makes the expression above true. The next whole number greater than 5.5 is 6, so 6 is the least whole number x for which the inequality holds true.

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In Hamilton County, Ohio the mean number of days needed to sell a home is days (Cincinnati Multiple Listing Service, April, 2012
Diano4ka-milaya [45]

Answer:

t=\frac{80-86}{\frac{20}{\sqrt{40}}}=-1.8974    

p_v =2*P(t_{39}

If we compare the p value with a significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, so there is not enough evidence to conclude that the mean for the data is significantly different from 86 days.    

Step-by-step explanation:

Assuming the following problem: "In Hamilton County, Ohio the mean number of days needed to sell a home is 86 days (Cincinnati Multiple Listing Service, April, 2012). Data for the sale 40 of homes in a nearby county showed a sample mean of 80 days with a sample standard deviation of 20 days. Conduct a hypotheses test to determine whether the mean number of days until a home is sold is different than the Hamilton county mean of 86 days in the nearby county. "

1) Data given and notation    

\bar X=80 represent the sample mean

s=20 represent the sample standard deviation

n=40 sample size    

\mu_o =86 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to determine if the mean is different from 86, the system of hypothesis would be:    

Null hypothesis:\mu = 86    

Alternative hypothesis:\mu \neq 86    

We don't know the population deviation, so for this case we can use the t test to compare the actual mean to the reference value, and the statistic is given by:    

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic    

We can replace in formula (1) the info given like this:    

t=\frac{80-86}{\frac{20}{\sqrt{40}}}=-1.8974    

4) Calculate the P-value    

First we need to find the degrees of freedom given by:

df=n-1=40-1=39

Since is a two tailed test the p value would be:    

p_v =2*P(t_{39}

In Excel we can use the following formula to find the p value "=2*T.DIST(-1.8974,39,TRUE)"  

5) Conclusion    

If we compare the p value with a significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, so there is not enough evidence to conclude that the mean for the data is significantly different from 86 days.    

7 0
3 years ago
In△XYZ , XY¯¯¯¯¯¯=7in , YZ¯¯¯¯¯=5in , and XZ¯¯¯¯¯=4in . This triangle is reflected across the x-axis to result in △X'Y'Z' . Whic
ki77a [65]

Answer:

B

Step-by-step explanation:

Reflection is a transformation that preserves lengths.

Triangle XYZ, with side lengths XY = 7 in, YZ = 5 in, XZ = 4 in, is reflected across the x-axis to result in △X'Y'Z'.

This means that corresponding sides have the same lengths:

  • XY = X'Y' = 7 in;
  • XZ = X'Z' = 4 in;
  • YZ = Y'Z' = 5 in.

Find the perimeters of both triangles:

P_{XYZ}=XY+XZ+YZ=7+4+5=16\ in\\ \\P_{X'Y'Z'}=X'Y'+X'Z'+Y'Z'=7+4+5=16\ in

Hence, only option B is true.

8 0
3 years ago
Jenny's mom is 36 years old. If Jenny's great-grandmother is 90 years old, what percent of Jenny's mother's age is Jenny's great
Serjik [45]

Answer:

The age of Jenny's mom is 40 % of age of Jenny's great-grandmother.  (Input: 40)

Step-by-step explanation:

The percentage needed is calculated by the following expression:

x = \frac{n_{M}}{n_{G}}\times 100\,\%

Where:

x - Percentage of Jenny's mother with respect to Jenny's great-grandmother, measured in percentage.

n_{M} - Age of Jenny's mother, measured in years.

n_{G} - Age of Jenny's great-grandmother, measured in years.

If we know that n_{M} = 36\,yr and n_{G} = 90\,yr, the percentage is:

x = \frac{36\,yr}{90\,yr} \times 100\,\%

x = 40\,\%

The age of Jenny's mom is 40 % of age of Jenny's great-grandmother.

3 0
3 years ago
Identify the graph of 5-i
Minchanka [31]

Answer:

I not sure what the question is

Step-by-step explanation:

5 0
3 years ago
The cost y to rent a tent is proportional to x days. if it costs $56 to rent a tent for 7 days what is the formula
Alona [7]
Probably y = 8x. 56 = 8(7), so that works. Without more data, I couldn't say if it could be something else, so that's what I go with.
4 0
3 years ago
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