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andrey2020 [161]
2 years ago
11

What is the greatest integer that satisfies the inequality below?

Mathematics
1 answer:
BartSMP [9]2 years ago
3 0

Answer:

Step-by-step explanation:

- 2x > 17

x < 17 ÷ ( - 2 )

x < - 8.5

x ∈ ( - ∞ , - 8.5 )

The greatest integer that satisfies the inequality is ( - 9 )

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The germination rate is the rate at which plants begin to grow after the seed is planted.
chubhunter [2.5K]

Answer:

z=\frac{0.467 -0.9}{\sqrt{\frac{0.9(1-0.9)}{15}}}=-5.59  

p_v =P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of germinated seeds is significantly lower than 0.9 or 90%

Step-by-step explanation:

Data given and notation

n=15 represent the random sample taken

X=7 represent the number of seeds germinated

\hat p=\frac{7}{15}=0.467 estimated proportion of seeds germinated

p_o=0.9 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of germinated seeds is less than 0.9 or 90%.:  

Null hypothesis:p\geq 0.9  

Alternative hypothesis:p < 0.9  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.467 -0.9}{\sqrt{\frac{0.9(1-0.9)}{15}}}=-5.59  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed is \alpha=0.05. The next step would be calculate the p value for this test.  

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

p_v =P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of germinated seeds is significantly lower than 0.9 or 90%

4 0
3 years ago
A bookstore charges a standard rate for paperback and hardback bestseller books. The cost of each paperback book is $8 less than
11111nata11111 [884]

Answer:

Hardback- $328 , Paperback- $1548

5 0
3 years ago
Read 2 more answers
6,12,8,15,9,7 what it the interquartile range
nekit [7.7K]

Answer:

5 is the interquartile range

Step-by-step explanation:

•25th Percentile: 7

•50th Percentile: 8.5

•75th Percentile: 12

•Interquartile Range: 5

7 0
3 years ago
What’s the slope of the line that passes through 5,10 and 7,12
Marrrta [24]

Slope of the line passes through (5,10) and (7,12) is 1.

Step-by-step explanation:

Given,

The two points are (5,10) and (7,12).

To find the slope passing through the given points.

Formula

The slope of the line passing through (x_{1} ,y_{1}) and (x_{2} ,y_{2}) is \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

Now, putting x_{1} =5,y_{1}=10, x_{2}=7, y_{2} =12 we get,

Slope = \frac{12-10}{7-5} = \frac{2}{2} = 1

Hence,

Slope of the line passes through (5,10) and (7,12) is 1.

7 0
3 years ago
Read 2 more answers
Complete the statement: If 8 = m/4 then m - 12 = ?. Explain.
andre [41]
Solve for m:
8 = m/4

8 = m/4 is equivalent to m/4 = 8:
m/4 = 8

Multiply both sides of m/4 = 8 by 4:
(4 m)/4 = 4×8

(4 m)/4 = 4/4×m = m:
m = 4×8

4×8 = 32:
Answer:  m = 32 thus m - 12 = 32 -12 = 20
8 0
3 years ago
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