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elixir [45]
3 years ago
14

Solve the equation. 12=2+z/-6

Mathematics
2 answers:
Pani-rosa [81]3 years ago
7 0
<h2>Answer:</h2>

<u>The value of z is </u><u>-60</u>

<h2>Step-by-step explanation:</h2>

see the image

Bogdan [553]3 years ago
3 0

Answer:

\boxed{\bold{z=-60}}

Step-by-step explanation:

Switch Sides

\bold{2+\frac{z}{-6}=12}

Subtract 2 From Both Sides

\bold{2+\frac{z}{-6}-2=12-2}

Simplify

\bold{\frac{z}{-6}=10}

Multiply Both Sides By -6

\bold{\frac{z\left(-6\right)}{-6}=10\left(-6\right)}

Simplify

\bold{z=-60}

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Lucy wants to be exempt from her semester exam. In order for that to happen, she has to average an 85 over 3 test grades. Her fi
anastassius [24]

Answer:

<em>Grades to be scored in 3rd exam = 88</em>

Step-by-step explanation:

Given that average of 3 numbers is 85.

First two numbers are 81 and 86.

To find:

3rd number so that average is 85

Solution:

Let the third number = x

Formula for average is:

Average = \dfrac{Sum\ of\ numbers}{Total\ count\ of\ numbers}

Here, sum of numbers = 81+86+x =167+x

Total count of numbers = 3

85 = \dfrac{167+x}{3}\\\Rightarrow x=255-167\\\Rightarrow \bold{x=88}

<em>Grades to be scored in 3rd exam = 88</em>

8 0
3 years ago
Marley bought an action figure for $10.99, a board game for $24.95 and a book for $5.99. She paid with a $50 bill. How much chan
Crazy boy [7]
The change she received back would be $8.07

6 0
3 years ago
Read 2 more answers
Can yall please help?
butalik [34]

Answer:

3000000000

Step-by-step explanation:

Dividing 9*10^7 by 3, we have 3*10^7

Same with 3*10^-2 so we have

(3*10^7)/(1/100) which is equal to 3*10^7*100 which is equal to 3000000000

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3 0
2 years ago
A researcher would like to determine whether a new tax on cigarettes has had any effect on people’s behavior. During the year be
sammy [17]

Answer:

a) p_v =2*P(z  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the population mean is NOT significant different from 410 at 5% of significance.  

b) p_v =2*P(z  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the population mean is significant different from 410 at 5% of significance.

c) The expplanation why we have different outcomes is because for part a we use a higher standard error compared to part b. So we have enough evidence on part b to reject the null hypothesis that we no have significant difference from 410.

Step-by-step explanation:

1) Part a

Previous concepts  and data given

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=386 represent the sample mean  

\sigma=60 represent the population standard deviation

n=9 represent the sample selected

\alpha=0.05 significance level  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if we have significant difference on the mean, the system of hypothesis would be:  

Null hypothesis:\mu = 410  

Alternative hypothesis:\mu \neq 410  

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-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".  

Calculate the statistic

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

z=\frac{386-410}{\frac{60}{\sqrt{9}}}=-1.2    

P-value

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

p_v =2*P(z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the population mean is NOT significant different from 410 at 5% of significance.  

2) Part b

State the null and alternative hypotheses.  

The system of hypothesis not changes:

Null hypothesis:\mu = 410  

Alternative hypothesis:\mu \neq 410  

Same statistic:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Calculate the statistic

But now the population deviation changes \sigma=30. We can replace in formula (1) the info given like this:  

z=\frac{386-410}{\frac{30}{\sqrt{9}}}=-2.4    

P-value

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

p_v =2*P(z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the population mean is significant different from 410 at 5% of significance.

7 0
3 years ago
What is the value of H in the diagram below?
Nuetrik [128]

Answer:

the value of h in the diagram is I hope hight

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2 years ago
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