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3 years ago

The sum of two numbers is 21.

Mathematics

1 answer:

Delvig [45]3 years ago

5 0

Answer:

3 and 18

Step-by-step explanation:

let x be the first number

let 6x be the second number

x + 6x = 21

7x=21

x=21/7

x=3

second number =6x

second number 6x3= 21

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Lady_Fox [76]

#3 answer: 42

3x7= 21
21x2=42

#4 answer:140

5x7=35
2x2=4
4x35=140

4 0

3 years ago

suppose the mean 40 yard dash time of a perfessional football player is 4.41 seconds with a standard deviation of 0.15 seconds.

I am Lyosha [343]

The percent of runners between these two times is 47.72.

We find the z-scores associated with each end of this interval using the formula
z=(X-μ)/σ

For the lower end,
z=(4.11-4.41)/0.15 = -0.3/0.15 = -2

Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this score is 0.0228.

For the upper end:
z=(4.41-4.41)/0.15 = 0/0.15 = 0

Using a z-table we see that the area to the left of, less than, this score is 0.5000.

We want the area between these times, so we subtract:
0.5000-0.0228 = 0.4772

This corresponds with 47.72%.

4 0

2 years ago

Taylor's computer randomly generate numbers between 0 and 4, as represented by the given uniform density curve.

MrRa [10]

12.5% is the percentage of numbers randomly generated by Taylor's computer that is less than 0.5.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

The percentage of numbers randomly generated by Taylor's computer are less than 0.5 is given by

P(0≤X≤0.5)

= $\int_{0}^{0.5}\frac{1}{4}dx$

$=\frac{1}{4}x|^{0.5}_{0}$

$=\frac{1}{4}(0.5-0)$

$=0.25(0.5)$

= 0.125

That is 12.5%

Learn more about density curves here-

brainly.com/question/18345488

#SPJ10

3 0

2 years ago

The product of two numbers is a ______ of both numbers

qwelly [4]

<h2>The product of two numbers is <em>a,</em> $\sqrt{a}$ of both numbers.</h2>

Step-by-step explanation:

Given,

The product of two numbers = a

To find, the both numbers = ?

Let the two numbers = x

∴ x × x = a

⇒ $x^{2}$ = a

⇒ $x^{2} =\sqrt{a}^2$

Comparing the powers, we get

⇒ x = $\sqrt{a}$

∴ First number = $\sqrt{a}$ and Second number = $\sqrt{a}$

Thus, the product of two numbers is <em>a,</em> $\sqrt{a}$ of both numbers.

5 0

2 years ago

The density of aluminum is 2.375 grams per cubic centimeter. Find the volume of a portion of a sheet of aluminum that has a mass

abruzzese [7]

This is the concept of density, volume and mass of different materials; To calculate for the volume of an aluminium material with density of 2.375 grams per cubic centimeter and a mass of 0.78 Kilogram we proceed as follows;

Density=mass/volume
making volume the subject we get;
volume=mass/density
thus;
mass=0.78 kg= 780 g
density=2.375 g/cm^3
Hence,
volume=780/2.375=328.421 cm^3

6 0

3 years ago

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