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
notsponge [240]
3 years ago
7

Can someone explain the steps for how do solve this?! I can’t get it right

Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0

Answer:

x = 50

m∠D = 150°

m∠F = 30°

Step-by-step explanation:

  • supplementary angles are two angles whose sum is 180°

∠D + ∠F = 180°

3x + x - 20 = 180

3x + x = 180 + 20

4x = 200

x = 200/4

x = 50

D = 3*50 = 150

∠D = 150°

F = 50 - 20 = 30

∠F = 30°

You might be interested in
Determine the values of c so that the following functions represent joint probability distributions of the random variables X an
Anna11 [10]

Answer:

The joint probility density will be c = 1/36

The joint probability distribution will be c = 1/15

Step-by-step explanation:

For step by step explanation see the pucture attached

7 0
3 years ago
Read 2 more answers
If there are 10 billion transistors (each of a square shape) uniformly (without space) distributed on a silicon chip with the sq
Karo-lina-s [1.5K]

Answer:

the transistors have L=1 mm of linear size

Step-by-step explanation:

For the silicon chip the area is A=1 cm² and for the transistors the area is At=L² (L=linear size) . Then since N= 10 billion transistors of area At should fit in the area A

A=N*At

A=N*L²

solving for L

L= √(A/N)

Assuming that 1 billion=10⁹ (short scale version of billion), then

L= √(A/N) = √(1 cm²/10⁹) = 1 cm / 10³ = 1 mm

then the transistors have L=1 mm of linear size

4 0
3 years ago
Find the radius of the button.<br><br> radius: __ in.
Marat540 [252]

Answer:

1 3/4 in

Step-by-step explanation:

8 0
3 years ago
Does the 4 in 4,567 have the same value as the 4 in 34,811
Strike441 [17]

Hey there!

Yes! The 4 in 4,567 has a value of 4,000 & the 4 in 34,811 has a value of 4,000

4,000 = 4,000

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

5 0
3 years ago
Read 2 more answers
A company surveyed 2500 men where 1225 of the men identified themselves as the primary grocery shopper in their household. ​a) E
professor190 [17]

Answer:

a) The 98% confidence interval for the population proportion of males who identify themselves as the primary grocery shopper is (0.457, 0.503).

b) The null hypothesis that the proportion is equal or less than 44% will be rejected at this level of significance.

c) The level of significance is 2%.

This is the expected probability that the sample proportion fall outside the acceptance region due to pure chance, if the null hypothesis is true.

Step-by-step explanation:

a) The conditions are:

- randomization: it is assumed to be a random sample.

- independence: the sample responses are independent of each other.

- 10% condition: we don't know the size of the population, but the sample is assumed to be less than 10% of the population.

- sample size: the sample size is bigger than 30, so it is satisfied.

We have to calculate a 98% confidence interval for the proportion.

The sample proportion is p=0.48.

p=X/n=1225/2550=0.48

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.48*0.52}{2550}}\\\\\\ \sigma_p=\sqrt{0.0001}=0.0099

The critical z-value for a 98% confidence interval is z=2.326.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=2.326 \cdot 0.0099=0.023

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.48-0.023=0.457\\\\UL=p+z \cdot \sigma_p = 0.48+0.023=0.503

The 98% confidence interval for the population proportion of males who identify themselves as the primary grocery shopper is (0.457, 0.503).

b) Our confidence interval tells us that there is 98% confidence that the true proportion o males who identify themselves as the primary grocery shopper is within 0.457 and 0.503.

The propotion 0.44 is outside of this interval, so if the claim is that the proportion is higher than 44%, the null hypothesis will state that the true proprotion is equal or less than 0.44.

With the information we have, at this level of significance (2%), the null hypothesis will be rejected.

c) The level of significance that corresponds to the 98% confidence interval is α=2%.

This is the expected probability that the sample proportion fall outside the acceptance region (which matches with the confidence interval) due to pure chance, if the null hypothesis is true.

5 0
3 years ago
Other questions:
  • Two numbers total 10, and there difference is 12. Find a smaller of the two numbers.
    8·1 answer
  • A certain field is a rectangle with a perimeter of 862 feet. The length is 179 feet more than the width. Find the width and leng
    12·1 answer
  • What is 10x10?<br><br> A.90<br><br> B 80. <br><br> C. 100<br><br> D. 500.
    13·2 answers
  • 5 - 3(6 - 2y)
    15·2 answers
  • How do you plot y=3x+2
    8·1 answer
  • I need help! please!
    13·1 answer
  • Suppose that data collected from police reports of motor vehicle crashes show a moderate positive correlation between the speed
    8·1 answer
  • If p varies jointly as q and the cube of r, when
    8·1 answer
  • double the number plus three times another number is 54. the difference between these two numbers is three. what are the two num
    9·1 answer
  • Help pls :( I’ll mark you brainlist no links<br> Links= report
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!