Answer:
x=108
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠RQS≅m∠QLK -----> by corresponding angles
m∠KLM+m∠QLK=180° -----> by supplementary angles (consecutive interior angles)
we have that
m∠RQS=x° ----> given problem
so
m∠QLX=x°
m∠KLM=(x-36)° ----> given problem
substitute
Answer:
Answer:
Option B is correct.
Miguel should study for the Science quiz as he will do worse in that quiz by guessing.
Step-by-step explanation:
Miguel has to take two quizzes
1) 4 true or false questions on History with a 0.5 chance of acing the quiz
Expected number of correct questions = np
n = number of questions
p = probability of acing the test
Expected number of correct questions = 4 × 0.5 = 2
2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.
Expected number of correct questions = 0.2 × 3 = 0.6
It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.
Answer:
7/11 of the Pizza was left for Zachary.
Step-by-step explanation:
Zachary had 1 - 4/11
= 11/11 - 4 /11
= 7/11.
Answer:
Step-by-step explanation:
Given given that
- Lower confidence interval = 7.1
- Upper confidence interval = 7.5
- As such, We are 95% confident that it's somewhere between 7.1 and 7.5 hours per night
Average value = LCI + UCI /2 = 7.1 + 7.5 / 2
= 7.3hours per night, so we are 95% confident that it's somewhere between 7.1 and 7.5 hours per night which is eventually 7.3hrs per night.
Answer:
Step-by-step explanation:
we have a exponential function of the form
where
y is the population of San Francisco
x is the number of years
a is the initial population
b is the base
r is the rate of grown
b=(1+r)
In this problem we have
ordered pair (6, 870,887)
substitute in the exponential function
Solve for a
so
The exponential function is equal to
In 5 more years the number of years will be equal to
6+5=11 years
For x=11 years
substitute the value of x in the exponential function and solve for y
