Answer: About 8.4 mm
Step-by-step explanation:
Since this is a right triangle, we will solve using the Pythagorean theorem. In the equation we are solving for <em>c</em>, the hypotenuse, with 3.7 mm and 7.5 mm being <em>a</em> and <em>b</em>, the legs.
a² + b² = c²
(3.7)² + (7.5)² = c²
13.69 + 56.25 = c²
69.94 = c²
= c
8.363 mm ≈ c
c ≈ 8.4 mm, when rounded to the nearth tenth of a millimeter
The missing side length is about 8.4 mm.
Answer:
![p_v =2* P(z>3.06)=0.0011](https://tex.z-dn.net/?f=p_v%20%3D2%2A%20P%28z%3E3.06%29%3D0.0011%20)
And since the p value is lower than the significance level we have enough evidence to reject the null hypothesia and the best option is:
C. 0.0011; reject the null hypothesis
Step-by-step explanation:
For this case we have the following system of hypothesis:
Null hypothesis : ![p=0.377](https://tex.z-dn.net/?f=%20p%3D0.377)
Alternative hypothesis: ![p \neq 0.377](https://tex.z-dn.net/?f=p%20%5Cneq%200.377)
In order to check this hypothesis we can use a z test for a proportion. The statistic is given by:
(1)
And the value for this case is ![z= 3.06](https://tex.z-dn.net/?f=%20z%3D%203.06)
We are conducting a bilateral test so then the p value can be founded on this way:
![p_v =2* P(z>3.06)=0.0011](https://tex.z-dn.net/?f=p_v%20%3D2%2A%20P%28z%3E3.06%29%3D0.0011%20)
And since the p value is lower than the significance level we have enough evidence to reject the null hypothesia and the best option is:
C. 0.0011; reject the null hypothesis
Substitute x= 3 and calculate
f(3)= 2•9+5• sqrt( 1)
f(3)= 18+5= 23
Answer:
Step-by-step explanation:
The 2 numbers that are not in the domain of the function are the 2 numbers that cause the denominator of the function to equal 0. In order to find those 2 numbers, we have to factor the quadratic that is in the denominator. When you factor, you get x = 2.79 and x = -1.79
Those are the values of x that cause the denominator to equal 0, which of course is NEVER allowed in math!