1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dovator [93]
3 years ago
12

What is the value of x

Mathematics
1 answer:
Natali [406]3 years ago
5 0

Answer:

x = 12

Step-by-step explanation:

The two angles are complementary since they form a 90 degree angle.

35+ 4x+7 = 90

Combine like terms

42 +4x = 90

Subtract 42 from each side

42-42 +4x =90-42

4x = 48

Divide each side by 4

4x/4 = 48/4

x = 12

You might be interested in
2.10 Guessing on an exam: In a multiple choice exam, there are 6 questions and 4 choices for each question (a, b, c, d). Nancy h
ololo11 [35]

Answer:

a) p = (3/4)^5 *(1/4) =0.0593

b) P(X=6) = (6C6) (0.25)^6 (1-0.25)^{6-6}= 0.000244

c) P(X \geq 1)

And we can use the complement rule like this:

P(X \geq 1) = 1-P(X

P(X=0) = (6C0) (0.25)^0 (1-0.25)^{6-0}= 0.17798

And replacing we have:

P(X \geq 1) = 1-P(X

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

We can model the number of correct questions answered with a binomial distribution X \sim Binom(n = 6, p = 1/4=0.25)

Solution to the problem

Assuming the following questions:

a) the first question she gets right is the 6th question?  

For this case we want the first 5 questions incorrect and the last one correct, assuming independence we have:

p = (3/4)^5 *(1/4) =0.0593

(b) she gets all of the questions right?

For this case we want all the questions right so then we want this:

P(X=6) = (6C6) (0.25)^6 (1-0.25)^{6-6}= 0.000244

(c) she gets at least one question right?

For this case we want this probability:

P(X \geq 1)

And we can use the complement rule like this:

P(X \geq 1) = 1-P(X

P(X=0) = (6C0) (0.25)^0 (1-0.25)^{6-0}= 0.17798

And replacing we have:

P(X \geq 1) = 1-P(X

7 0
2 years ago
Exercice1
Yuliya22 [10]

Step-by-step explanation:

step by step step by step step by step by step by step step by step 352 Part 8 International natural + 11 exercise to fork out

7 0
3 years ago
the school stage is 8 3/4 feet wide and each chair is 1 5/12 feet wide. how many chairs will fit across the stage?
Sedaia [141]

Answer:

6 whole chairs

Step-by-step explanation:

(8 + (3/4)) / (1 + (5/12))

8.75 / 1.42

6.18 chairs

6 0
3 years ago
PLEASE HELP ASAP NO TROLLING PLEASE. HELP FIND MISSING TERM
snow_tiger [21]

Answer:

-3x is the answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
ANYONE????
Marat540 [252]
Your denominator is going to be 4 digits. "18,18,18,18".
3 0
3 years ago
Other questions:
  • Explain two different waysto find the difference for 12-3
    9·2 answers
  • Sharon is paving a rectangular concrete driveway on the side of her house. The area of the driveway is 5x^2 + 43x - 18, and the
    15·2 answers
  • The area of a circle of radius 5cm is numerically what percent of its circumference
    12·1 answer
  • On Saturday Emma made a basket in 36 out of 80 attempts with a basketball. On Sunday she made a basket in 11 out of 20 attempts.
    13·2 answers
  • Write in least to greatest order 0.56, 4.56, 0.65
    13·2 answers
  • After working for a few years, the instructor has $3,500 saved for rent. He rents an apartment that costs $275 a month. Which gr
    9·2 answers
  • What does it mean when i see | | in math? here is an example |-5|?
    14·1 answer
  • Matthew has saved a total of $14,800, of which $3700 is invested in the stock market. What percent of his total savings is inves
    8·1 answer
  • SOMEONE PLEASE PLEASE HELP ME
    6·2 answers
  • Tell which set or sets the number below belongs​ to: natural​ numbers, whole​ numbers, integers, rational​ numbers, irrational​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!