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3 years ago

In a large population, very close to 25% of the observations will fall below the

Mathematics

1 answer:

lana66690 [7]3 years ago

4 0

Answer:

1,417,000

Step-by-step explanation:

Given that:

Score = 1,475,623

96% of nationwide

96% of score gives the best estimate of the number of scores below 720

0.96 * 1475623

= 1416598.08

The best estimate is 1,417,000

You might be interested in

What is the geometric mean of 28 and 14?

topjm [15]

Answer:

gm =14sqrt(2)

or approximately 19.8

Step-by-step explanation:

to find the geometric mean, multiply the numbers together and then take the square root

gm = sqrt(28*14)

gm = sqrt(392)

gm = sqrt(196*2)

gm =14sqrt(2)

gm = 19.799

8 0

4 years ago

How do I write in standard form 700000 + 20000 + 4000 + 500 + 60 + 2

Inga [223]

All you have to do is just bring the numbers that are not zero from each digit.

so in this process, the answer you would get is 724,562.

I hope this helped

5 0

3 years ago

Read 2 more answers

A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 4x. The container must contain 12ft^3

zheka24 [161]

The height of the container should be equal to 2.57 cm, so as to minimize cost.

<h3>How to calculate the height?</h3>

First of all, we would determine the volume of the rectangular container by using this formula:

Volume = l × w × h

Where:

l represents the length.

w represents the width.

h represents the height.

Substituting the given parameters into the formula, we have;

Volume = x × 4x × h

Volume = 4x²h

At a volume of 12 ft³, we have:

12 = 4x²h

h = 12/4x²

h = 3/x²

For the total area of top and bottom, we have:

Area = (x × 4x) + (x × 4x)

Area = 4x² + 4x²

Area = 8x² sq. units.

Thus, the cost of top and bottom is given by:

Cost = 8x² × 1.50

Cost = $12x²

For the total area of all four sides, we have:

Area = (x × h) + (x × h) + (4x × h) + (4x × h)

Area = xh + xh + 4xh + 4xh

Area = 10xh sq. units.

Thus, the cost of all four sides is given by:

Cost = 10xh × 4.50

Cost = $45xh.

Also, the cost function would be given by:

C(x) = 12x² + 10xh

C(x) = 12x² + 10x(3/x²)

C(x) = 12x² + 30/x

Taking the first derivative, we have:

dC/dx = 24x - 30/x²

24x = 30/x²

24x³ = 30

x³ = 30/24

x = 1.08

Therefore, the height will be:

h = 3/x²

h = 3/1.08²

h = 3/1.1664

Height, h = 2.57 cm.

Read more on minimum height here: brainly.com/question/27308167

#SPJ1

5 0

2 years ago

Perimeter of a triangle is 27cm,if two sides measure 9cm and 7.8cm,find the measure of third side?

fredd [130]

Answer:

10.2cm

Step-by-step explanation:

Perimeter is the sum of the lengths of all sides.

1st side: 9cm

2nd side: 7.8cm

Perimeter: 27cm

Perimeter = 1st + 2nd +3rd side of a triangle

27cm = 9cm +7.8cm + 3rd side

3rd side = 27cm - 9cm -7.8cm

= 10.2cm

8 0

3 years ago

A study claims that the mean age of online dating service users is 40 years. Some researchers think this is not accurate and wan

Mademuasel [1]

Answer: $H_0:\mu=40$

$H_0:\neq40$

Step-by-step explanation:

A null hypothesis is a hypothesis where a researcher generally try to disprove, it says that there is no statistically significant relationship between the two variables .
An alternative hypothesis says that there is a statistical significance between two variables.

Claim 1. : Mean age of online dating service users is 40 years.

i.e. $\mu=40$ , since it has equals sign so we take this as null hypothesis.

Claim 2. : Mean age of online dating service users is not 40 years.

$\mu\neq40$

⇒ Null Hypothesis : $H_0:\mu=40$

Alternative hypothesis : $H_0:\neq40$

5 0

3 years ago