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2 years ago

3 n-5 An even ineger, what is the next larger consecutive even integer

Mathematics

1 answer:

Sliva [168]2 years ago

8 0

Answer:

B. n-3

Step-by-step explanation:

If x is an even integer, the next consecutive even integer = x + 2

Since (n-5) is even, the next consecutive even integer = (n-5) + 2 = n-3

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The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy sh

tamaranim1 [39]

Answer:

a) The population proportion is 0.625

b) The confidence interval is (0.578 , 0.672)

Step-by-step explanation:

* Lets explain how to solve the problem

- The Fox TV network is considering replacing one of its prime-time

crime investigation shows with a new family-oriented comedy show

- There are 400 viewers

∴ The sample size is 400

- 250 of them indicated they would watch the new show and

suggested it replace the crime investigation show

∴ The number of success is 250

∵ The population proportion P' = number of success/sample size

∴ P' = 250/400 = 0.625

a) The population proportion is 0.625

* Lets solve part b

- Develop a 95 percent confidence interval for the population

proportion

∵ The confidence interval (CI) = $P'(+/-)z*(\sqrt{\frac{P'(1-P')}{n}}$ ,

where P' is the sample proportion, n is the sample size, and z*

is the value from the standard normal distribution for the desired

confidence level

∵ 95% z is 1.96

∴ z* = 1.96

∵ P' = 0.625

∵ n = 400

∵ $\sqrt{\frac{P'(1-P')}{n}}=\sqrt{\frac{0.625(1-0.625)}{400}}=0.0242$

∴ CI = 0.625 ± (1.96)(0.0242)

∴ CI = (0.625 - 0.047 , 0.625 + 0.047)

∴ CI = (0.578 , 0.672)

b) The confidence interval is (0.578 , 0.672)

5 0

3 years ago

Write the set of real numbers x less than 6 in set builder notation

maksim [4K]

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

x is a real number
x is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

6 0

3 years ago

Match each problem to its solution 8,8.2,9,56.25

Mekhanik [1.2K]

The computation shows that the amount will be:

$56.25.
$9
8
8.2 pounds

<h3>How to compute the values?</h3>

Jonah earns $12.50 per hour

He works for 4.5 hours

Amount he earned will be:

= 12.50 × 4.5 = $55.25

Items worth is $41.23

Amount paid is $50.23

Extra amount paid will be:

= 50.23 - 41.23

= $9

Length of cloth available is 20 m

Length of one long-sleeved blouse is 2.5m

Number of blouses that can be made will be:

= 20/2.5 = 8

Potatoes weight is 3.2 pounds

Oranges weight is 2.3 pounds

Onions weight is 2.7 pounds

Total weight of the purchase will be:

= 3.2 + 2.3 + 2.7 = 8.2 pounds

Learn more about the computation of amount on:

brainly.com/question/20038451

#SPJ1

<u>Complete question:</u>

Match each problem to its solution. 8 8.2 9 56.25 Jonah earns $12.50 per hour as a marketing intern. If he works for 4.5 hours, how many dollars does he earn? arrowRight Jessica purchased items worth $41.23 at the local grocery store. The cashier made a mistake while ringing up her items, and Jessica ended up paying $50.23. How many extra dollars did she pay? arrowRight Josie has 20 meters of cloth. She needs to make long-sleeved blouses with that cloth. If one long-sleeved blouse requires 2.5 meters of cloth, how many blouses can she make with the material? arrowRight Jeremy bought 3.2 pounds of potatoes, 2.3 pounds of oranges, and 2.7 pounds of onions. How many pounds does his purchase weigh? arrowRight

3 0

2 years ago

DESPERATE WILL GIVE BRAINLIST AND THANKS

Illusion [34]

Answer: What you must do for this case is to graph each of the ordered pairs that you have in the table to obtain the dispersion chart. Note that in your table you have eight ordered pairs, therefore, your scatter chart must have eight pairs.

Step-by-step explanation:

7 0

3 years ago

Complete the solution of the equation. find the value of y when x equals -6. -4x + y = 29

Bingel [31]

Answer:

Step-by-step explanation:

x = -6

-4x + y = 29

substitute x = -6 in -4x + y =29

-4(-6) + y = 29

24 + y = 29

subtract 24 from both sides

24 - 24 + y = 29 - 24

y = 5

6 0

4 years ago