Answer:
n = 23
x = 17
p = 0.50
Step-by-step explanation:
For a binomial experiment we have the following variables:
<u>1) Number of trials or Sample size:</u>
The number of trials is represented by n. In the given scenario 23 adults were asked about their favorite pizza, so the number of trials in this will be 23. Thus
n = 23
<u>2) Number of success</u>
The number of success is denoted by x. Number of success indicates that how many trials resulted in the favorable outcome. In the given case, choosing a sausage pizza is a success. Since 17 adults chose the sausage, so
x = 17
<u>3) Probability of success on single trial</u>
This is represented by p. It is stated that 50% adults say sausage is their favorite pizza. So,
p = 50% = 0.50
From the given information, we can note that angle1 and angle2 are corresponding angles with respect to line u. Angle2 and angle9 are alternate exterior angles with respect to the right vertical line and angle5 and angle7 are alternate interior angles with respect to line v.
Therefore, the theorems which justify the answer are, respectively: Corresponding angles theorem, Alternater exterior angles theorem and Alternate Interior angles theorem.
Answer:
Step-by-step explanation:
Let x be the smaller number.
The next even number will be (x + 2).
Subtract 2 from both sides:
Divide both sides by 2:
The smaller number is 32.
Larger number 
There is usually calculator that will solve it for you look for them just plug the question in and it can show the steps too
Answer:
68°
Step-by-step explanation:
Here,
- Two supplementary angles are (2x – 8)° and (3x - 2)°.
As we know that the sum of two supplementary angles are 180°. So,
→ (2x – 8)° + (3x – 2)° = 180°
→ 2x° – 8° + 3x° – 2° = 180°
→ 5x° – 10° = 180°
→ 5x° = 180° + 10°
→ 5x° = 190°
→ x = 190° ÷ 5°
→ <u>x</u><u> </u><u>=</u><u> </u><u>3</u><u>8</u><u>°</u>
Supplementary angles are,
→ 2(38°) – 8
→ (76 – 8)°
→ 68°
→ 3(38°) – 2
→ (114 – 2)°
→ 112°
Therefore, the measure of the smaller angle is 68°.
