Answer:
4 stones is the answer use basic mathematics
Answer:
a) Sample A
b) Sample D
Step-by-step explanation:
The sample that will provide the most significance evidence for the claim is the one that has the bigger proportion of US citizens who can name the capital city of Canada.
The sample that has the bigger proportion is Sample A, with p=38/40=0.95.
The samples that have a proportion of 0.75 of less surely will give no evidence for the claim.
The sample D has a proportion of p=27/40=0.675, which is less than 0.75, so it doesn't provide evidence for the claim.
Sample C has a proportion of 0.775. Is very close to 0.75, but its value as evidence depends on the level of significance of the test.
Answer:
To know what the ratio for the cos of theta, we actually have to see the adjacent and hypotenuse values. cos=adjacent/hypotenuse.
Step-by-step explanation:
Let's solve this problem step-by-step.
First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:
Equation No. 1 -
x + y = 180°
After reading the problem, we can convert it into an equation as displayed as the following:
Equation No. 2 -
3x - 8 + x = 180°
Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:
Equation No. 1 -
x + y = 180°
y = 180 - x
Then, let's make (x) the subject in the second equation & solve as displayed below:
Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°
After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:
y = 180 - x
y = 180 - ( 47 )
y = 133°
We are now able to establish that the value of the two angles are as follows:
x = 47°
y = 133°
In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.
133 is greater than 47 as displayed below:
133 > 47
Therefore, the measure of the larger angle is 133°.
Angle sum property = Sum of the three angles of a triangle will be equal to 180° .
Using this let us find out the measure of x .
Measure of first angle = 101°
Measure of second angle = 38°
Measure of third angle = x
