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
aleksandr82 [10.1K]
3 years ago
6

Determine whether each equation has one solution, no solution, or infinite solutions.

Mathematics
1 answer:
Sati [7]3 years ago
6 0

Answer:

a. has one solution

b. infinite solution

Step-by-step explanation:

a.

2(x - 1) + 6 = 4x - 22

2x - 2 + 6 = 4x - 22

2x - 4x = 2 - 6 - 22

-2x = -26

x = 26/2

x = 13

b.

6(2x + 1) – 2 = 12x + 4

12x + 6 - 2 = 12x + 4

12x - 12x = 4 + 2 - 6

0 = 0

You might be interested in
What is the probability of obtaining 3 heads and 1 tail (order irrelevant) on four flips of a fair coin?
dem82 [27]

1/2 probability of 1 flip

1/2 x 1/2 x 1/2 x 1/2 = 1/16 probability

8 0
3 years ago
What is the surface area of a 3 inch cube
alisha [4.7K]
9 sq. in because each side is 3 inch and area is length x width. each side is e inch so 3x3=9 sq in.
6 0
3 years ago
Read 2 more answers
Will give brainliestt
Natasha_Volkova [10]

Answer: (-5, -3)

Step-by-step explanation:

(-10, -6)

-10/2 = -5

-6/2 = -3

7 0
3 years ago
at noon joice drove to the lake at 30 mi. per hour, but she made a long walk back at 4 mi. per hour. how long did she walk ifshe
Kryger [21]
Distance = 30 mph * time
distance = 4 mph * time

distance = 30 mph * t
distance = 4 mph * (17-t)

Since distance is equal then
30 mph * t = 4 mph * (17-t)
 
30t = -4t + 68

34t = 68

t = 2 hours

We see the return trip time is (17 -t ) which is 15 hours.
The beginning trip time is 2 hours.

Double Check
Beginning trip = 30 miles * 2 = 60 miles
Return trip = 4 miles * 15 = 60 miles.


3 0
3 years ago
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1
svet-max [94.6K]

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that \mu = 8, \sigma = 1.1

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

n = 5 means that s = \frac{1.1}{\sqrt{5}} = 0.4919

This probability is the pvalue of Z when X = 9.3. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{9.3 - 8}{0.4919}

Z = 2.64

Z = 2.64 has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

n = 6 means that s = \frac{1.1}{\sqrt{6}} = 0.4491

This probability is 1 subtracted by the pvalue of Z when X = 9. So

Z = \frac{X - \mu}{s}

Z = \frac{9 - 8}{0.4491}

Z = 2.23

Z = 2.23 has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

8 0
3 years ago
Other questions:
  • Tep 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________
    8·1 answer
  • Correct answer will get brainliest!
    11·1 answer
  • PLEASE HELP ME!! I WILL GIVE YOU BRAINLIEST AND 50 POINTS!! AND DON'T JUST PUT YES, NO AND THEN NUMBERS, *USE COMPLETE SENTENCES
    15·1 answer
  • Hillary babysits for $6 per hour. She also works as a math tutor for $8 per hour. Her parents only allow her to work 14 hours pe
    7·1 answer
  • Line of symmetry shape of right arrow​
    8·1 answer
  • Can someone solve this?
    14·1 answer
  • Help me pls I need help right now
    12·1 answer
  • The hypotenuse of a right triangle measures 20cm. The sum of the lengths of the other two sides is 28cm. Find the lengths of tho
    11·1 answer
  • Please solve it
    15·1 answer
  • PLEASE HELPP !!<br> :C please <br> I'll give brainly to whoever gets it correct
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!