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Dmitry_Shevchenko [17]
3 years ago
6

-8=-2(z+7) [solving linear equations ]

Mathematics
2 answers:
Sveta_85 [38]3 years ago
8 0
Z=-3 is the correct answer. Use math papa if you need help with the steps on how we got z=-3
hoa [83]3 years ago
7 0

-8=-2(z+7)

-8=-2z-14

-2z-8=-14

-2z=-6

Z=3

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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
What expression is equivalent to 12 - 1/2(x + 12)
lyudmila [28]
Distribute the -1/2 to both x and 12

-1/2(x) = -1/2x
-1/2(12) = -6

12 -  (-1/2x) - 6

Simplify: Note, two negatives = one positive

12 + 1/2x - 6

Simplify: combine common numbers together

12 - 6 + 1/2x

6 + 1/2x


1/2x + 6 is your equivalent expression


hope this helps
7 0
3 years ago
Shop sells bagles for 5 per dozen how much bagles can you buy for 50
spayn [35]
120 Bagels
Explanation:
if you get 12 bagels for 5 dollars, and your wondering how many you’d get for 50 dollars, 5 times 10 is 50 and 10 times 12 is 120. That doesn’t make the most sense but yes
3 0
3 years ago
In a group of EXPLORE students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy solving mathematical problems. O
Pavel [41]
Only 11 of the students liked 2 subjects
5 0
2 years ago
The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b
castortr0y [4]
 
<span>∵ There is a proportional relationship between the mass and the volume of the places of metal.
Let volume = v and mass = m
So, the relation between volume and mass will take the form:
        v = km
where k is constant and can be calculated as follow:
when m = </span><span>34.932 , and v = 4.1   ⇒⇒⇒ k = v/m = 0.117371
</span>when m = 47.712<span> , and v = 5.6   ⇒⇒⇒ k = v/m = </span>0.117371
when m = 61.344 , and v = 7.2   ⇒⇒⇒ k = v/m = <span>0.117371
when m = </span>99.684 , and v = 11.7  ⇒⇒⇒ k = v/m = <span>0.117371

∴ v = 0.117371 m
</span>
For  v =<span>15.3
∴ m = v/k = 15.3/0.117371 = 130.356 </span><span>gram

</span>The mass of a piece of this metal that has a volume of 15.3 cubic centimeters ≈ 130.4 gram (<span>round to the nearest tenth</span>)











3 0
3 years ago
Read 2 more answers
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