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
FromTheMoon [43]
1 year ago
6

if a, b, and c are prime numbers, do (a b) and c have a common factor that is greater than 1? (1) a, b, and c are all different

prime numbers. (2) c ≠ 2\
Mathematics
1 answer:
klio [65]1 year ago
8 0

If a,b, and c are prime numbers, do (a*b) and c have a common factor that is greater than 1

(1) a,b, and c are all different prime numbers

(2) c≠2

1. Let's assume values of 1,3 and 5 to a, b, and c respectively

a b = 1*3 = 3

3 and 5 do not have any common factor aside 1

Let's assume values of 1,3 and 2 to a,b and c respectively

a *b = 1*3 = 3

3 and 2 does not have a common factor aside 1

2. c \neq 2

Let's assume values of 2,7 and 3 to a b and c response

a * b = 2 *7 = 14

14 and 3 does not have a common factor aside 1

learn more about of prime number here

brainly.com/question/14410795

#SPJ4

You might be interested in
The circumference of a circle is 50 inches. What is the radius?
GalinKa [24]

Answer:

The answer is 7.96 inches.

Step-by-step explanation:

radius= Circumference/ 2 Pi  = 50/2 3.14 = 7.96

7 0
3 years ago
What is a desirable characteristic when choosing a line of credit?
erik [133]

annual fee is your awnser hope it helped

4 0
3 years ago
Find the equation for -5,3 and 1,-5
Olegator [25]

Answer:

The image shows a stationary train indicated by letter A and a moving train, indicated by letter B. If the person standing at the train station hears sounds coming from both trains, which explanation best predicts tThe image shows a stationary train indicated by letter A and a moving train, indicated by letter B. If the person standing at the train station hears sounds coming from both trains, which explanation best predicts t

Step-by-step explanation:

4 0
3 years ago
When people make estimates, they are influenced by anchors to their estimates. A study was conducted in which students were aske
12345 [234]

Answer:

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0

where μ1: mean calorie estimation for the cheesecake group and μ2: mean calorie estimation for the organic salad group.

There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first (P-value=0.0000002).

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Suppose that the study was based on a sample of 20 people who thought about the cheesecake first and 20 people who thought about the organic fruit salad first, and the standard deviation of the number of calories in the cheeseburger was 128 for the people who thought about the cheesecake first and 140 for the people who thought about the organic fruit salad first.</em>

<em>At the 0.01 level of significance, is there evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first?"</em>

<em />

This is a hypothesis test for the difference between populations means.

The claim is that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0

The significance level is 0.01.

The sample 1 (cheese cake), of size n1=20 has a mean of 780 and a standard deviation of 128.

The sample 2 (organic salad), of size n2=20 has a mean of 1041 and a standard deviation of 140.

The difference between sample means is Md=-261.

M_d=M_1-M_2=780-1041=-261

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{128^2}{20}+\dfrac{140^2}{20}}\\\\\\s_{M_d}=\sqrt{819.2+980}=\sqrt{1799.2}=42.417

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-261-0}{42.417}=\dfrac{-261}{42.417}=-6.153

The degrees of freedom for this test are:

df=n_1+n_2-1=20+20-2=38

This test is a left-tailed test, with 38 degrees of freedom and t=-6.153, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0.0000002) is smaller than the significance level (0.01), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.

3 0
3 years ago
Ten increased by 6 times a number plus 3times the number is the same as 9more than 12 times the number
nirvana33 [79]
It is 14 and divide by 4 is 36
8 0
3 years ago
Other questions:
  • PLEASE HELP ME I NEED TO PASS THIS!!!!!!!!!!!!!!!!!!!
    5·2 answers
  • Simplify 14 to the 15th power over 14 to the 5th power
    12·1 answer
  • For every $5 tent saved, his his dad will contribute $2 to his saving account. How much will Trent have to put into the account
    12·1 answer
  • 2. How many real number solutions are there to the equation 0 =-3x2 + x - 4?
    6·1 answer
  • I need help on all 3 of these questions
    13·1 answer
  • How many square units are in the area of the triangle whose vertices are the x and y intercepts of the curve y = (x-3)^2 (x+2)?
    5·1 answer
  • It has been proved that the double-shaft clubs re- sult in longer drives. So if our drives are longer, then you are using these
    12·1 answer
  • a ladder is placed against a wall the bottom of the ladder is 4 feet away from the wall and the top of the ladder touches the wa
    15·2 answers
  • . True or False: The function y = (x2 – 4)/(x2 – 4) is continuous for all values of x
    11·1 answer
  • Graph any third-degree polynomial (a cubic graph) that has exactly one x-intercept, a relative/global minimum at (-2.1), and a r
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!