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2 years ago

Solve the following by factoring 4x² + 12 =7x

Mathematics

1 answer:

LiRa [457]2 years ago

3 0

Answer:

4x² + 12 = 7x

4x² + 12 - 7x = 0

use the quadratic formula and get your answer!

Step-by-step explanation:

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Complete the series: 3760, 1880, 360, 180, 45,?

frosja888 [35]

The answer is 1 in the series

5 0

1 year ago

In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What

julia-pushkina [17]

Answer:

The 65th percentile is between 73 and 74

Step-by-step explanation:

Rearrange the ungrouped data in ascending order: 65,66,67,68,71,73,74,77,77,77

The 65th percentile is 65/100 of N ( N = 10) = 65/100 × 10 = 6.5

The 65th percentile is the 6.5th term. The 6th term is 73 and the 7th term is 74, the 6.5th term is between the 6th and 7th term

The 65th percentile is between 73 and 74

4 0

2 years ago

Read 2 more answers

30,45,x,100; The median is 51

Alex Ar [27]

To solve for x, you must first understand how the median was calculated out of the given set of numbers. Without looking at the given median value, we can see that we cannot get the median by process of elimination since there are an even amount of numbers in this particular set. Therefore, we must average the two closest values to what should be the median.

In this case, the values are "45" and "x". If we pretend that we know the value of the variable "x" (for example we will pretend that x is 55), then we should have an equation that looks like this: (45+55) ÷ 2 = [median]. What this equation is doing is adding the two closest values to the median (45 and 55) and dividing it by 2, the number of values we are averaging. Now we can solve this equation and simplify it to 100 ÷ 2 which is 50, our median.

So if they give us the median instead of the x value, then we can rewrite the equation to fit your request: (45+x) ÷ 2 = 51. Now we can solve for x:

1. Multiply by 2
(45+x) = 102

2. Subtract 45
x = 57

The x value for your question is 57.

3 0

2 years ago

Read 2 more answers

A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft, and it weighs 50 lbs. T

Lady_Fox [76]

Answer:

116 units of the first product

380 units of the second product

Step-by-step explanation:

Product 1 has a unit volume of 10 cu ft

Product 2 has a unit volume of 3 cu ft

The truck has 2300 cu ft of space

Product 1 weighs 50 lbs

Product 2 weighs 40 lbs

The truck can carry 21000 lbs

Let X be the units of product 1

Let Y be the units of product 2

The given information can be expressed as:

10X+3Y=2300...(1)

50X+40Y=21000...(2)

Solving the system of equations:

10X+3Y=2300...(1)

10X=2300-3Y

X=(2300-3Y)/10

Substituting X in (2) we have:

50X+40Y=21000

50[(2300-3Y)/10]+40Y=21000

50[(2300/10)-(3Y/10)]+40Y=21000

50[230-(3Y/10)+40Y=21000

11500-(150Y/10)+40Y=21000

11500-15Y+40Y=21000

11500+25Y=21000

25Y=21000-11500

25Y=9500

Y=380

Substituting Y in (1) we have:

10X+3Y=2300...(1)

10X+3(380)=2300

10X+1140=2300

10X=2300-1140

10X=1160

X=116

So 116 units of the first product and 380 units of the second product can be transported in a single shipment with one truck.

8 0

2 years ago

An executive for a large national restaurant chain with multiple locations in each of 513 counties wants to personally sample th

ohaa [14]

Answer:

D. Obtain a cluster sample by randomly selecting 20 counties and visiting every restaurant within those counties.

Step-by-step explanation:

Since this executive wants to minimize cost and expenses he should use a cluster sample of 20 counties and using the selected counties as a representative of the whole. Cluster sampling is a good and useful way of doing market research. It is more economical than other sampling methods and as the executive cannot get information on the whole population, he would be able to get information from the clusters.

4 0

1 year ago