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Debora [2.8K]
2 years ago
8

What is solve 5x-65=3x-17

Mathematics
1 answer:
NikAS [45]2 years ago
5 0
If you would like to solve 5x - 65 = 3x - 17, you can do this using the following steps:

5x - 65 = 3x - 17
5x - 3x = 65 - 17
2x = 48
x = 48/2
x = 24

The correct result would be 24.
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Round to the nearest hundredth if so. Use 3.14 as pi <br>8. r=<br> d =<br> C=78.8 ft​
Kryger [21]

Answer: The radius is 12.54 feet, and the diameter is 25.08 feet.

Explanation: By applying the circumference into the equation r = \frac{C}{2\pi }, we get r = \frac{78.8}{2\pi }which simplifies the radius. And since radius is half of diameter, we multiply by 2 to get the diameter as well to solve the other blank in the problem.

Hope this helps! :D

7 0
2 years ago
The mean consumption of bottled water by a person in the United States is 28.5 gallons per year. You believe that a person consu
Over [174]

Answer:

t=\frac{27.8-28.5}{\frac{4.1}{\sqrt{100}}}=-1.707    

p_v =P(t_{99}

If we compare the p value with a significance level for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, so there is not enough evidence to conclude that the mean for the consumption is less than 28.5 gallons at 0.1 of significance, so we can reject the claim that person consume more than 28.5 gallons.

Step-by-step explanation:

Data given and notation    

\bar X=27.8 represent the mean for the account balances of a credit company

s=4.1 represent the population standard deviation for the sample    

n=1000 sample size    

\mu_o =28.5 represent the value that we want to test  

\alpha=0.1 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 determine if the mean for the person consume is more than 28.5 gallons, the system of hypothesis would be:    

Null hypothesis:\mu \geq 28.5    

Alternative hypothesis:\mu < 28.5    

We don't know the population deviation, so for this case we can use the 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{27.8-28.5}{\frac{4.1}{\sqrt{100}}}=-1.707    

Calculate the P-value    

First we need to calculate the degrees of freedom given by:

df=n-1=100-1=99

Since is a one-side lower test the p value would be:    

p_v =P(t_{99}

In Excel we can use the following formula to find the p value "=T.DIST(-1.707,99)"  

Conclusion    

If we compare the p value with a significance level for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, so there is not enough evidence to conclude that the mean for the consumption is less than 28.5 gallons at 0.1 of significance, so we can reject the claim that person consume more than 28.5 gallons.

5 0
3 years ago
Which of the following is a perfect square trinomial ? PLEASE HELP!!!!!!!!!!!!!!!!!
zepelin [54]

Answer:

The answer is C. 16x² - 56xy + 49y²

Step-by-step explanation:

A perfect square trinomial is the result of a squared binomial, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.

6 0
2 years ago
Help me find the value of X
RideAnS [48]

Answer:

B.  x =  53 degrees.

Step-by-step explanation:

The external angles of all polygons add up to 360 degrees, so:

x +  120 + 90+ 97 = 360

x = 360 - 90 - 120 - 97

x =  53 degrees.

8 0
3 years ago
Two equations are given below:
stealth61 [152]

a is given to us so just plug a into the first equation:

b-3 - 3b =9

Add 3 to both sides:

b-3b=12

Combine like terms:

-2b=12

Divide by -2 to get b by itself:

b=-6

The only answer with b as -6 is the first one, (-9,-6)

8 0
3 years ago
Read 2 more answers
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