Answer:
∠6 > ∠3 is TRUE.
Step-by-step explanation:
We know that acute angle is less than 90 degree while obtuse angle is more than 90 degree. By looking at the given angles, we can easily determine which angle is obtuse or acute. then we can decide which angle is bigger to find the answer.
∠10 > ∠7
FALSE;
Because∠10 is acute while ∠7 is obtuse.
------------
∠6 > ∠3
TRUE;
Because∠3 is acute while ∠6 is obtuse.
------------
∠9 > ∠11
FALSE;
Because∠9 is acute while ∠11 is obtuse.
------------
∠8 > ∠11
FALSE;
Because∠8 is acute while ∠11 is obtuse.
------------
Answer: approximately 12.17 units
==========================================================
Work Shown:
We'll use the tangent ratio to find r
tan(angle) = opposite/adjacent
tan(49) = 14/r
r*tan(49) = 14
r = 14/tan(49)
r = 12.1700143294271
r = 12.17
The radius is approximately 12.17 units long.
Its 72 degrees i just did this one plato
Answer:
The probability that no more than 70% would prefer to start their own business is 0.1423.
Step-by-step explanation:
We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.
Let
= <u><em>sample proportion of people who prefer to start their own business</em></u>
The z-score probability distribution for the sample proportion is given by;
Z =
~ N(0,1)
where, p = population proportion who would prefer to start their own business = 72%
n = sample of 18-29 year-olds = 600
Now, the probability that no more than 70% would prefer to start their own business is given by = P(
70%)
P(
70%) = P(
) = P(Z
-1.07) = 1 - P(Z < 1.07)
= 1 - 0.8577 = <u>0.1423</u>
The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.
<em>The </em><em>value</em><em> </em><em>of</em><em> </em><em>u</em><em> </em><em>is</em><em> </em><em>-</em><em>3</em><em>4</em><em>3</em>
<em>pl</em><em>ease</em><em> see</em><em> the</em><em> attached</em><em> picture</em><em> for</em><em> full</em><em> solution</em>
<em>Hope</em><em> </em><em>it</em><em> helps</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>