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2 years ago

Find each missing length, will giv brainliest + 50 pts

Mathematics

2 answers:

kipiarov [429]2 years ago

4 0

Step-by-step explanation:

1. 18^2 - 10^2 = 324 - 100 = 224

Sqt(224)=14.9666

Approximate = 14.97

2. 100 - 16 = 84

Sqrt 84 = 9.1652

Approximate = 9.17

3. 225 - 49 = 176

Sqrt 176 = 13.2665

Approximate = 13.27

4. 361 - 144 = 217

Sqrt 217 = 14.7309

Approximate = 14.73

Nina [5.8K]2 years ago

3 0

B²=18²-10²
B²=324-100
B²=224
B=14.967(exact)
B=14.97(approx)

H²=10²-4²
H²=100-16
H²=84
H=9.165(exact)
H=9.16(approx)

H²=15²+7²
H²=225+49
H²=274
H=16.553(exact)
H=16.56(approx)

B²=19²-12²
B²=361-144
B²=217
B=15.731(exact)
B=15.74(approx)

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An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the

sdas [7]

Answer:

$n= 75, 582$

$n= 2300$

$n = 253$

Step-by-step explanation:

Generally the size of the sample sample space is mathematically represented as

$n = \left N } \atop {}} \right. C_r$

Where N is the total number of objects available and r is the number of objects to be selected

So for a, where N = 19 and r = 8

$n = \left 19 } \atop {}} \right. C_8 = \frac{19 !}{(19 - 8 )! 8!}$

$= \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}$

$n= 75, 582$

For b Where N = 25 and r = 3

$n = \left 25 } \atop {}} \right. C_3 = \frac{25 !}{(19 - 3 )! 3!}$

$= \frac{25 *24 *23 *22 ! }{22 ! \ 3!}$

$n= 2300$

For c Where N = 23 and r = 2

$n = \left 23 } \atop {}} \right. C_2 = \frac{23 !}{(23 - 2 )! 2!}$

$= \frac{23 *22 *21! }{21 ! \ 3!}$

$n = 253$

4 0

3 years ago

What is the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively

ki77a [65]

The profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

<h3>Profitability index</h3>

First step is to find the Net present value (NPV) of the given cash flow using discount rate PVF 16% and PV of cash flow which in turn will give us net present value of 49.7.

Second step is to calculate the profitability index

Profitability index = 49.7/340

Profitability index = .15×100

Profitability index=15%

Therefore the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

Learn more about Profitability index here:brainly.com/question/3805108

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1 year ago

What is the factor of x³ 5x² 2x 24?

Delvig [45]

The factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)

<h3>What is a factor?</h3>

A factor is a number that completely divides another number.

In other words, since the result may be divided by the two whole numbers we are multiplying, they are factors of the result if multiplying two whole numbers produces a result.

The numbers that can divide a number exactly are called factors.

There is none left over after division as a result.

The numbers you multiply together to produce another number are called factors.

A factor is hence the division of another number.

So, we have the expression: x³-5x²-2x+24

Now, calculate the factors as follows:

x³-5x²-2x+24

We already know that: P(-2) = 0

Hence, x+2 is a factor.

Now, other factors are: x² - 7x + 12

x² + 4x + 3x + 12

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Therefore, the factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)

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Correct question:
What is the factor of x³-5x²-2x+24?

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1 year ago

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alisha [4.7K]

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Degger [83]

Answer:

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