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
neonofarm [45]
3 years ago
10

Find the value of x in the diagram

Mathematics
1 answer:
IRISSAK [1]3 years ago
7 0

Answer:

x = 21

Step-by-step explanation:

Inscribed angle = (3x - 3)°

Intercepted arc measure = 120°

Thus:

(3x - 3)° = ½(120°) => an inscribed angle of any circle = ½ the measure of its intercepted arc.

Multiply both sides by 2

2(3x - 3) = 120

6x - 6 = 120

6x - 6 + 6 = 120 + 6

6x = 126

6x/6 = 126/6

x = 21

You might be interested in
In which figure is DE BC
stepan [7]

Answer:

Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.

DB

AD

=

AC

AE

[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.

7.2

AD

=

5.4

1.8

AD=

5.4

7.2×1.8

AD=

10

24

⟹AD=2.4cm

4 0
3 years ago
A billing company that collects bills for​ doctors' offices in the area is concerned that the percentage of bills being paid by
omeli [17]

Answer:

1) A. H0: p = 0.30

HA: p not equal to 0.30

2) A. The Independence Assumption is met.

C. The Randomization Condition is met.

D. The Success/Failure Condition is met.

3) Test statistic z = 2.089

P-value = 0.0367

4) C. Reject H0. There is sufficient evidence to suggest that the percentage of bills paid by medical insurance has changed.

Step-by-step explanation:

1) This is a hypothesis test for a proportion.

The claim is that there is a significant change in the percent of bills being paid by medical​ insurance.

As we are looking for evidence of a difference, no matter if it is higher or lower than the null hypothesis proportion, the alternative hypothesis is defined by a unequal sign.

Then, the null and alternative hypothesis are:

H_0: \pi=0.3\\\\H_a:\pi\neq 0.3

2) Cheking the conditions:

The independence assumption and the randomization condition are met as the bills were selected randomly from the population.

The 10% condition can not be checked, as we do not know the size of the population.

The success/failure condition is met as the products np and n(1-p) are bigger than 10 (the number of successes and failures are both bigger than 10).

3) The significance level is assumed to be 0.05.

The sample has a size n=9260.

The sample proportion is p=0.31.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.3*0.7}{9260}}\\\\\\ \sigma_p=\sqrt{0.000023}=0.005

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.31-0.3-0.5/9260}{0.005}=\dfrac{0.01}{0.005}=2.089

This test is a two-tailed test, so the P-value for this test is calculated as:

\text{P-value}=2\cdot P(z>2.089)=0.0367

As the P-value (0.0184) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there is a significant change in the percent of bills being paid by medical​ insurance.

5 0
3 years ago
The spinner shown below is used to play a game.
Westkost [7]
The probability is 3/8
3 0
3 years ago
Solve the literal equation for y 5x-2=8+5y
Pavel [41]
I’m pretty sure the answer is y = x - 2. If not then sorry..
5 0
1 year ago
Read 2 more answers
In its Fuel Economy Guide for 2014 model vehicles, the Environmental Protection Agency gives data on 1160 vehicles. There are a
MrRissso [65]

Step-by-step explanation:

wait can you show a picture of your work so I can see what percent of all vehicles have better gas or mileage than the Beetle

8 0
3 years ago
Other questions:
  • Given that f(x) = 5x2 − 100, find x.
    8·2 answers
  • What is the answer for this algebra question 4(2n-5)=3n+10
    10·2 answers
  • There are five Oklahoma State Officials: Governor (G), Lieutenant Governer (L), Secretary of State (S), Attorney General (A), an
    8·1 answer
  • A DVD priced $17.50 cost $18.81 after tax. What was the percent of sales tax?
    8·1 answer
  • You have a shuffled deck of three cards: 2, 3, 4. You draw one card. Let C_i denote the event that the card i is picked. Let E d
    7·1 answer
  • The expression 3(1.5)^t models the number of bacteria in a culture as a function of the number of hours since the cultures was c
    8·2 answers
  • What is the volume of the right cone shown below? 10 O A. 7577 units3 B. 100n units3 C. 1507 units3 375 units3​
    10·1 answer
  • What is the awnser to y=-1
    9·2 answers
  • Find the third side in simplest radical form.
    13·2 answers
  • What is the area of the right trapezoid?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!