Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
An expression.
Answer:= −4a^4−a^3−7
Step-by-step explanation:
Answer:
Part 1) The measure of angle d is 65°
Part 2) The measure of angle c is 89°
Part 3) The measure of arc a is 131°
Part 4) The measure of arc b is 47°
Step-by-step explanation:
we know that
In an inscribed quadrilateral, opposite angles are supplementary
step 1
Find the measure of angle d
∠d+115°=180°
∠d=180°-115°=65°
step 2
Find the measure of angle c
∠c+91°=180°
∠c=180°-91°=89°
step 3
Find the measure of arc a
we know that
The inscribed angle measures half that of the arc comprising
115°=(1/2)[99°+arc a]
230°=[99°+arc a]
arc a=230°-99°=131°
step 4
Find the measure of arc b
we know that
The inscribed angle measures half that of the arc comprising
∠c=(1/2)[arc a+arc b]
substitute the values
89°=(1/2)[131°+arc b]
178°=[131°+arc b]
arc b=178°-131°=47°
Using statistical concepts, we have that:
- a. The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.
- b. The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.
<h3>Range and standard deviation:</h3>
- The range of a data-set is given by the difference <u>between the highest value and the lowest value in the data-set</u>.
- The standard deviation of a data-set is given by the <u>square root of the sum of the difference squared of each observation and the mean, divided by the number of observations</u>.
Item a:
- The lowest value is of 0.
- The highest value is of 6.
Hence:
The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.
Item b:
The mean is:

Hence, the standard deviation is:

The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.
You can learn more about range and standard deviation at brainly.com/question/11729451