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Nimfa-mama [501]
3 years ago
10

8(t+2) - 3(t-4) = 6(t-7) + 8

Mathematics
1 answer:
Zinaida [17]3 years ago
7 0

Answer:

t = 50 is the solution for the given expression 8(t+2) - 3(t-4) = 6(t-7) + 8

Step-by-step explanation:

Here, the given expression is 8(t+2) - 3(t-4) = 6(t-7) + 8

Solving the given expression, we get

8t + 16  -3t + 12 = 6t - 42 + 8

or, 5t + 18  = 6t - 34

⇒  5t - 6t  = -34 -16

or ,   -t  = 50

or, t = 50

⇒ t = 50 is the solution for the given expression  8(t+2) - 3(t-4) = 6(t-7) + 8

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An equation is shown 3/4x=15. What is the value of x
uysha [10]
3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20 
7 0
3 years ago
A city water company charges homeowners based on how much water they use in thousands of gallons. The company progressively char
Dima020 [189]

Answer:

  • 1700: $50
  • 2000: $60
  • 7000: $90

Step-by-step explanation:

You can read the answers from the graph. Find the usage on the horizontal scale, and look at the vertical scale to find the corresponding charge.

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<h3>1700 gallons</h3>

The value 1700 is between 1000 and 2000, so will be between 1 and 2 on the horizontal scale. The graph is flat in that region. The charge is $50.

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<h3>2000 gallons</h3>

The graph has a jump at 2 on the horizontal scale. The solid dot tells you that the charge is $60.

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<h3>7000 gallons</h3>

At 7 on the horizontal scale, the graph is increasing from 80 to 100. At 7000 gallons, the line passes through the grid intersection indicating the charge is $90.

4 0
2 years ago
What two numbers multiply to give 36 but add up to -13
mars1129 [50]
The numbers -9 and -4 add up to -13 and multiply to get 36

I hope this helped :)
5 0
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Read 2 more answers
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7 0
3 years ago
Sarah claims that the thickness of the spearmint gum she produces is 7.5 one-hundredths of an inch. A quality control specialist
satela [25.4K]

Answer:

t=\frac{7.55-7.5}{\frac{0.103}{\sqrt{10}}}=1.539    

p_v =2*P(t_{(9)}>1.539)=0.158  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis.  

Step-by-step explanation:

Data given and notation  

Data: 7.65, 7.60, 7.65, 7.7, 7.55, 7.55, 7.4, 7.4, 7.5, 7.5

We can begin calculating the sample mean given by:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And the sample deviation given by:

s=\sart{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And we got:

\bar X=7.55 represent the sample mean

s=0.103 represent the sample standard deviation

n=10 sample size  

\mu_o =7.5 represent the value that we want to test

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

t would represent the statistic (variable of interest)  

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

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 7.5 or no, the system of hypothesis would be:  

Null hypothesis:\mu = 7.5  

Alternative hypothesis:\mu \neq 7.5  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a 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".  

Calculate the statistic

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

t=\frac{7.55-7.5}{\frac{0.103}{\sqrt{10}}}=1.539    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=10-1=9  

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

p_v =2*P(t_{(9)}>1.539)=0.158  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis.  

3 0
3 years ago
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