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Agata [3.3K]
3 years ago
8

What value is required to complete the square? -3x^2-6x+c?

Mathematics
1 answer:
Archy [21]3 years ago
8 0

Answer: 9

Step-by-step explanation:

-3x^{2} -6x+c\\

in order to do this find B. B = -6

divide -6 by 2 and then square that

(\frac{-6}{2} )^{2}

-3^{2}

⇒ 9

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Please help me out i will give brainliest
natulia [17]

Answer:

the first answer is (2x) A and the second one is (6x - 28) is in B and the last one is 48 is in C

hope it helps what im trying to say!

4 0
3 years ago
What is the sum of the multiples of 4 from 16 to 100?
strojnjashka [21]
Correct answer is 1276.

This an arithmetic series.
a_1=16,a_n=100,d=4,S_n=?
\\
\\a_n=a_1+(n-1)d
\\100=16+(n-1)4
\\4(n-1)=84
\\n-1=21
\\n=22
\\
\\S_n= \frac{(a_1+a_n)n}{2}= \frac{(16+100)22}{2}=116\times 11=1276
7 0
3 years ago
Read 2 more answers
Suppose 244 subjects are treated with a drug that is used to treat pain and 51 of them developed nausea. Use a 0.01 significance
vodka [1.7K]

Answer:

z=\frac{0.209 -0.2}{\sqrt{\frac{0.2(1-0.2)}{244}}}=0.351  

p_v =P(z>0.351)=0.363  

So the p value obtained was a very high value and using the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of subjects with nauseas is not higher than 0.2 or 20% at 1% of significance.

Step-by-step explanation:

Data given and notation  

n=244 represent the random sample taken

X=51 represent the subjects with nausea

\hat p=\frac{51}{244}=0.209 estimated proportion of subjects with nausea

p_o=0.2 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

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 is higher than 0.2.:  

Null hypothesis:p \leq 0.2  

Alternative hypothesis:p > 0.2  

When we conduct a proportion test we need to use the z statistic, 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{0.209 -0.2}{\sqrt{\frac{0.2(1-0.2)}{244}}}=0.351  

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 provided \alpha=0.01. The next step would be calculate the p value for this test.  

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

p_v =P(z>0.351)=0.363  

So the p value obtained was a very high value and using the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of subjects with nauseas is not higher than 0.2 or 20% at 1% of significance.

6 0
3 years ago
Read 2 more answers
8y + 12 = 4y - 4<br> a. y = -4<br> b. y = -2<br> c. y = -1<br> d. y = -5
Stolb23 [73]

Answer:

a. y = -4

Step-by-step explanation:

i hope this helps :)

7 0
3 years ago
Read 2 more answers
The teacher bought new crayons for her class. She bought 7 packs of 9 crayons. She already has 17 crayons in her classroom. She
andrew11 [14]

Answer: 8 crayons

Step-by-step explanation: Take 9 multiplied by 7, add the 17 to your answer, and divide by 10.

3 0
2 years ago
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