PLEASE HELP IN MATH . ( PLEASE GIVE EXPLANATION )<br> 5 EASY POINTS

Calculate each numbered angle measure.<br><br> problem below

krok68 [10]

The angles labeled 22, 1, and 2 are part of a triangle. 1 is a 90 degree angle.
So, 2 is 180-90-22=68 degrees.
3 is 180-68=112 degrees, since it forms a straight line if joined with angle 2.
4 is also 112 degrees since it is vertical with 3. .
5 is 180-112=68 because it makes a straight line with 4.
And so on

7 0

3 years ago

A microwave manufacturing company has just switched to a new automated production system. Unfortunately, the new machinery has b

baherus [9]

Answer:

Null hypothesis: $\mu \leq 6$

Alternative hypothesis: $\mu > 6$

$t=\frac{6.5-6}{\frac{1.5}{\sqrt{36}}}=2$

$df=n-1=36-1=35$

$t_{crit}=1.690$ with the excel code:"=T.INV(0.95,35)"

$t_{crit}=1.306$ with the excel code:"=T.INV(0.90,35)"

$p_v =P(t_{(35)}>2)=0.0267$

If we compare the p value and the significance level given $\alpha=0.05,0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the true mean it's significantly higher than 6 at 5% and 10% of significance.

Step-by-step explanation:

Data given and notation

$\bar X=6.5$ represent the mean time for the sample

$s=1.5$ represent the sample standard deviation for the sample

$n=36$ sample size

$\mu_o =6$ represent the value that we want to test

$\alpha=0.05,0.1$ 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 mean is higher than 6 days, the system of hypothesis would be:

Null hypothesis: $\mu \leq 6$

Alternative hypothesis: $\mu > 6$

If we analyze the size for the sample is > 30 but 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:

$t=\frac{6.5-6}{\frac{1.5}{\sqrt{36}}}=2$

Critical value and P-value

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

$df=n-1=36-1=35$

In order to calculate the critical value we need to find a quantile on the t distribution with 35 degrees of freedom that accumulates $\alpha$ on the right. Using the significance level of 0.05 we got:

$t_{crit}=1.690$ with the excel code:"=T.INV(0.95,35)"

And using the significance of 0.1 we got

$t_{crit}=1.306$ with the excel code:"=T.INV(0.90,35)"

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

$p_v =P(t_{(35)}>2)=0.0267$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05,0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the true mean it's significantly higher than 6 at 5% and 10% of significance.

6 0

3 years ago

Simplify this expression <br> (1/3 + 11/12)×2/3

alisha [4.7K]

1/3 = 4/12

(4/12 + 11/12) * 2/3

= 15/12 * 2/3

15/ 12 can also be written as 5/4

5/4 * 2/3 = 10/12

10/12 can be simplified into 5/6

Therefore, the answer is 5/6

5 0

3 years ago

Please, help! Pretty urgent!

jekas [21]

Answer:

1. As definition, in a function, the set of all possible inputs or possible x values is called the domain.

=> Option 2 is correct.

2. As definition, in a function, the set of all possible outputs or possible y values is called the range.

=> Option 3 is correct.

3. You pay a fixed amount of 70$ and 3$ for each movie.

=> A function that models the total cost: y = 70 + 3x

=> Option 1 is correct

4. Similar to the 3rd, you pay a fixed amount of 5$ to enter and 2$ for each ride.

=> A function that models the total cost: y = 5 + 2x

=> Option 3 is correct.

5. The average rate of change (R) of f(x) = x2 + 1 from x = 0 to x = 3 is actually the rate of change of line passes (0, 1) and (3, 10) as shown in picture.

=> R = (10 - 1)/(3 - 0) = 9/3 = 3

=> Option 1 is correct.

6. As property of vertical line: 75 = x - 10 + 20

=> x = 75 + 10 - 20 = 65 deg

As property of complement angles: 75 + y = 180

=> y = 180 - 75 = 105 deg

=> Option 2 is correct.

7. Yes, the two triangles are congruent (Side-Angle-Side case) with two sides are equal and the pair of angles created by those pair of 2 sides are also equal.

Hope this helps!

:)

4 0

3 years ago

Y less then or equal to 4x minus negative 2

kvasek [131]

Answer:

Step-by-step explanation:

5 0

3 years ago

PLEASE HELP IN MATH . ( PLEASE GIVE EXPLANATION ) 5 EASY POINTS