Answer:
b
Step-by-step explanation:
Minimum sample size for estimating the population proportion of pine trees over 90 years old in a forest near where you live with <em>margin of error</em> no more than 2% can be calculated using the equation:
n≥ p×(1-p) ×
where
- p is the proportion of pine trees over 90 years old in a forest near where you live
- z is the corresponding z-score for the confidence level
- ME is the margin of error in the estimation (2% or 0.02)
Answer:
m∠HMO=102°
Step-by-step explanation:
we know that
In a Rhombus the diagonals bisect the angles and opposite angles are equal
In this problem
Angles HMO and HTO are opposite angles
m∠HMO=m∠HTO
m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent
substitute the values

solve for x

<em>Find the measure of angle HMO</em>
m∠HMO=(12x-6)°
substitute the value of x
m∠HMO=(12(9)-6)=102°
see the attached figure to better understand the problem
Answer:
Step-by-step explanation:
Hello, the vertex is (1,2), right?
You remember that when the parabola equation is in standard form like below

The vertex is for , and we apply with this example where a = 1, b = -2, c=3

So this is the first graph.
Thank you
A cause and effect relationship exist between two variables, when one
variable event is made to happen by the other variable.
The situation which best shows causation is option <u>B) The amount of time a </u>
<u>cell phone is used affects the charge of the battery</u>.
Reasons:
Causation is the condition in which the occurrence of an event is caused by
or contributed to by another event. Such that the incident or observation
identified as the cause is responsible for the event, while the the
occurrence of the event depends on the cause being put in place.
- Option A) A rectangle of a given width can have different dimensions of length
- Option C) Milkshakes and ice cream bars can have different customer base, such that the number of milkshake and ice cream bars sold can be equal
- Option D) The balls used in a soccer match are provided by the officials of the game
Therefore;
- The situation which shows causation is B) <u>The amount of time a cell phone is used affects the charge of the battery</u>.
The option is correct because, a cell phone is powered by battery, and
therefore, the more the cell phone is used, the battery power is used up
and therefore, the charge on the battery is reduced.
Learn more here:
brainly.com/question/18404964
Product means multiplication so 45 x 23 = 1035