Answer:
340
Step-by-step explanation:
If x is the amount of pages in the book we can write:
1/4x + 5 + 3/5(x - (1/4x + 5)) + 10 + 12 + 24 = x
1/4x + 51 + 3/5(3/4x - 5) = x
1/4x + 51 + 9/20x - 3 = x
7/10x + 48 = x
3/10x = 48
x = 160
Answer: m∠1=42°
Step-by-step explanation
For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.
We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.
∠2+∠4=180
∠2+106=180
∠2=74°
Now that we know ∠2 is 74°, we can use that to solve for m∠1.
We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.
∠3+∠2+∠1=180
64+74+∠1=180
138+∠1=180
∠1=42°
I think that the correct answer is 33
Use the law of cosines. c^2= a^2 + b^2 - (2ac*cos (C))
Answer:
Correct option: (D).
Step-by-step explanation:
A null hypothesis is a hypothesis of no difference. It is symbolized by <em>H₀</em>.
A Type I error is the probability of rejection of the null hypothesis of a test when indeed the the null hypothesis is true.
The type I error is also known as the significance level of the test.
It is symbolized by P (type I error) = <em>α</em>.
In this case the researcher wants to determine whether the absorption rate into the body of a new generic drug (G) is the same as its brand-name counterpart (B) or not.
The hypothesis for this test can be defined as:
<em>H₀</em>: The absorption rate into the body of a new generic drug and its brand-name counterpart is same.
<em>Hₐ</em>: The absorption rate into the body of a new generic drug and its brand-name counterpart is not same.
The type I error will be committed when the null hypothesis is rejected when in fact it is true.
That is, a type I error will be made when the the results conclude that the absorption rate into the body for both the drugs is not same, when in fact the absorption rate is same for both.
Thus, the correct option is (<em>D</em>).
