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Dima020 [189]
3 years ago
11

The sum of three consecutive even numbers is 48. What is the smallest of these numbers?

Mathematics
2 answers:
Helga [31]3 years ago
7 0
The smallest number is 14
SVETLANKA909090 [29]3 years ago
4 0

Answer: The numbers are 14, 16 and 18.

Step-by-step explanation: First thing to note is that consecutive even numbers have a difference of 2 units between every two terms. That is, if the first number is a, the next would be a + 2, and the next would be a + 4, and so on.

Therefore the three consecutive even numbers shall be a, a + 2, and a + 4.

Our equation now becomes;

a + a + 2 + a + 4 = 48

3a + 6 = 48

Subtract 6 from both sides of the equation

3a = 42

Divide both sides of the equation by 3

a = 14

Therefore, the numbers are 14, 16 and 18.

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A rental car company claims the mean time to rent a car on their website is 60 seconds with a standard deviation of 22 seconds.
Gelneren [198K]

Answer:

Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds

Step-by-step explanation:

State the null hypothesis

H0: u = 60against the claim

Ha u≠   60   (this is a two tailed test)

Sample size n= 36

Sample mean=X`= 55

Population mean = u= 60

The significance level α = 0.05

Standard deviation= Sd = 22 seconds

Z= X`- u / Sd /√n

Z= 55- 60 / 22/√6

z= - 5/22/6

Z= -1.3635

The value of z from the table is Z∝/2= ±1.96

The critical region is less than - 1.96 and greater than 1.96.

Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds

4 0
3 years ago
20 points
Bezzdna [24]

Answer:

32%

Step-by-step explanation:

P(G/S) = P(G&S)/P(S)

= (0.32×0.5)/0.5

= 0.32

32%

5 0
3 years ago
Help!<br> It's a picutre
9966 [12]

Here is your answer

a) 5x-2y= 1

REASON:

6-2(x-y)=3x+5

6-2x+2y= 3x+5

3x+2x-2y= 6-5

5x-2y= 1

HOPE IT IS USEFUL

3 0
3 years ago
I need help with this math equation 3(2x + 6)
My name is Ann [436]

Answer:

6+18 pls give brainlest

Step-by-step explanation:

How to solve your problem

3(2+6)

Simplify

1

Distribute

3(2+6)

6+18

Solution

6+18

7 0
3 years ago
What is 4 1/3 divided by 10 1/5
vladimir2022 [97]
I got 65/153 since you actually multiply by the reciprocal of the second fraction.
6 0
3 years ago
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