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
DochEvi [55]
2 years ago
6

Solve for x in the problem below

Mathematics
1 answer:
Leokris [45]2 years ago
8 0

Answer:

x = 9

Step-by-step explanation:

This problem involves knowing the sum of angles in a triangle as well as the sum of supplementary angles. In any triangle, the sum of all the angles will always add up to 180°.  Supplementary angles add up to 180° and form a straight line.  In order to solve for 'x', we must set up an equation where the sum of the angles is equal to 180°.  Since the last angle of the triangle is not given, but we know that the value will be equal to 180 - (14x + 1), we can simplify this to 180 - 14x -1 or 179 - 14x.  We also know that this angle plus the other two angles of the triangle will add up to 180:

89 + 179 - 14x + 5x  - 7 = 180

Combine like terms:  261 - 9x = 180

Inverse operations: 261 - 261 - 9x = 180 - 261 or -9x = -81

Solve for x:  x = 9

You might be interested in
Company A makes a large shipment to Company B. Company B can reject the shipment if they can conclude that the proportion of def
boyakko [2]

Answer:

z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17  

The p value for this case would be given by:

p_v =P(z>3.17)=0.00076  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment

Step-by-step explanation:

Information provided

n=400 represent the random sample taken

X=59 represent number of defectives from the company B

\hat p=\frac{59}{400}=0.1475 estimated proportion of defectives from the company B  

p_o=0.1 is the value to verify

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:  

Null hypothesis:p \leq 0.1  

Alternative hypothesis:p > 0.1  

The statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17  

The p value for this case would be given by:

p_v =P(z>3.17)=0.00076  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment

8 0
3 years ago
A purse contains $1.15 in nickles and dimes and has 20 coins. How many nickles are in the purse?
lisov135 [29]
There are 23 nickles in her purse
4 0
2 years ago
What the answer? 8x-(2x-3)=12
nevsk [136]

Answer:

x= 3/2 or 1.5

Step-by-step explanation:

First of all, you can take out the parenthesis because 8x is subtracting 2x-3.

8x-2x-3=12

6x-3=12

  +3  +3

6x= 15

6x/6= 15/6

x= 3/2 or 1.5

Hope this helps!

8 0
2 years ago
Purchasing A regional survey found that 70% of all families who indicated an intention to buy a new car bought a new car within
zheka24 [161]

Answer:

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B) = 0.3362

Step-by-step explanation:

Let the event that a family that intends to buy a car be I

Let the event that a family does not intend to buy a car be I'

Let the event that a family buys a car in those 3 months be B

Let the event that a family does not buy a car in those 3 months be B'

Given,

P(B|I) = 0.70

P(B|I') = 0.10

P(I) = 0.22

P(I') = 1 - P(I) = 1 - 0.22 = 0.78

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B)

The conditional probability P(A|B), is given as

P(A|B) = P(A n B) ÷ P(B)

So,

P(B|I) = P(B n I) ÷ P(I)

P(B n I) = P(B|I) × P(I) = 0.70 × 0.22 = 0.154

P(B|I') = P(B n I') ÷ P(I')

P(B n I') = P(B|I') × P(I') = 0.10 × 0.78 = 0.078

P(B) = P(B n I) + P(B n I') = 0.154 + 0.078 = 0.232

P(B') = 1 - 0.232 = 0.768

P(I'|B) = P(B n I') ÷ P(B)

= 0.078 ÷ 0.232 = 0.3362

Hope this Helps!!!

8 0
2 years ago
Can someone do these questions 1-3 please i have an F in math now :/
ruslelena [56]

Answer:

There is no picture.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Jessica bought 1/2 pounds of roast beef and 5/6 pound of ham. Which pairs of fractions are equivalent to the amount's Jessica bo
    13·1 answer
  • Which supreme court case was the first to address the second amendment​
    10·1 answer
  • Zoe's Fish tank holds 27 L of water she uses a 3L container to fill the tank how many times does she have to fill the three litt
    7·1 answer
  • The temperature rose by 30°F today write a signed number to represent the temperature change
    15·1 answer
  • Questions 4 and 5 refer to the following:
    14·1 answer
  • At Franklin High School, 15% of students play basketball and 4% play baseball and basketball. What is the probablity that a stud
    5·2 answers
  • Jennifer earns $17.35 per hour at her job. She works 6 hours per day, 5 days per week. What is Jennifer’s gross income for a 2 w
    13·1 answer
  • Select the answer choices that show two fractions that are equal. (Select two)..
    12·1 answer
  • An online company is hoping to sell a new product by placing a pop-up advertisement on their website. There are two different de
    7·1 answer
  • Plz plz answer this 10pts:)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!