Solve the equation for x.<br> 42 + 5x = 41

What is the equation of a horizontal line passing through the point (-3,8)

stealth61 [152]

Y = 8
*********************************************************

5 0

3 years ago

Give the location of Berlin as an ordered pair X, Y

shusha [124]

The coordinates are based on two factors: the x coordinate and the y-coordinate.

The x coordinate is the position of the coordinate horizontally.

The y coordinate is the position of the coordinate vertically.

Berlin is at x-coordinate of 7 and y-coordinate of 8.

Thus the whole coordinate for Berlin is (7,8).

Hope that helped!

8 0

2 years ago

Michelle's class is handing out balloon arrangement consisting of 4 balloons each each balloon has and equally likely chance of

lara [203]

Answer:

The answer is 1/30 or 0.0333333...

Step-by-step explanation:

The way to find experimental probability is by comparing the number of times the event occurs to the total number of trials. In this question, there has only been one arrangement that consists of ballooons that are all the same color. This means that 1 (the number of times the event occurred)/ 30 (total number of trials) is the answer. I hope you have a great day!!

3 0

2 years ago

Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−9^x+1 .

Vinil7 [7]

I'm assuming your function is f(x) = -9^(x+1)
So we just have to plug in and see if the function is true.

1) -9^(0+1) = -9^1 = -9
YES

2) -9^(1+1) = -9^2 = -81
NO

3) -9^(-1+1) = -9^0 = -1
YES

5 0

3 years ago

Using traditional methods, it takes 10.1 hours to receive a basic driving license. A new license training method using Computer

Law Incorporation [45]

Answer:

We need to conduct a hypothesis in order to check if the technique performs differently than the traditional method, the system of hypothesis would be:

Null hypothesis: $\mu =10.1$

Alternative hypothesis: $\mu \neq 10.1$

$t=\frac{10.5-10.1}{\frac{1.4}{\sqrt{12}}}=0.990$

$p_v =2*P(t_{(11)}>0.990)=0.343$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the technique performs differently than the traditional method at 10% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=10.5$ represent the sample mean

$s=1.4$ represent the sample standard deviation

$n=12$ sample size

$\mu_o =10.1$ 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 check if the technique performs differently than the traditional method, the system of hypothesis would be:

Null hypothesis: $\mu =10.1$

Alternative hypothesis: $\mu \neq 10.1$

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:

$t=\frac{10.5-10.1}{\frac{1.4}{\sqrt{12}}}=0.990$

P-value

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

$df=n-1=12-1=11$

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

$p_v =2*P(t_{(11)}>0.990)=0.343$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the technique performs differently than the traditional method at 10% of signficance.

7 0

3 years ago

Solve the equation for x. 42 + 5x = 41