Answer:
a = 72° b = 88°
Step-by-step explanation:
We know in the cyclic quadrilateral opposite angles are supplementary so
a + 108° = 180° { being opposite angles of cyclic quadrilateral }
a = 180° - 108°
a = 72°
b + 92° = 180° { being opposite angles of cyclic quadrilateral }
b = 180° - 92°
b = 88°
Answer:
<em>Examples below</em>
Step-by-step explanation:
We have the fraction
It's required to multiply it by any fraction less than 1. Let's select the following fractions. All of them are less than 1 because the numerator is less than the denominator:
The required products are:
Answer:
150
Step-by-step explanation:
because acute angle is less than 90 degree
Answer:
A one-tailed hypothesis will be used to perform the test.
Step-by-step explanation:
The purpose of the marketing research consultant hired by Coca-Cola is to determine whether the the proportion of customers who prefer Coke to other brands is over 50%.
The marketing research consultant selected a random sample of <em>n</em> = 200 customers. The sample proportion of people who favored Coca-Cola over other brands was 55%.
The marketing research consultant can perform a single proportion hypothesis test to determine whether greater than 50% of customers prefer Coca-Cola to other brands.
Since we need to determine whether the population percentage is greater than a null value, the hypothesis is not two-tailed.
The hypothesis can be defined as:
<em>H₀</em>: The proportion of people who favor Coca-Cola over other brands was 55%, i.e. <em>p</em> = 0.50.
<em>Hₐ</em>: The proportion of people who favor Coca-Cola over other brands was more than 55%, i.e. <em>p</em> > 0.50.
Thus, a one-tailed hypothesis will be used to perform the test.
