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3 years ago

A college with a graduating class of 4000 students in the year 2010 predicts that its graduating class will grow 5% per year.

Mathematics

1 answer:

anastassius [24]3 years ago

7 0

Hello,

$u_0=4000\\u_1=4000*1.05 (for\ year\ 2011)\\\\u_n=4000*1.05^n\\So:\\year\ 2017: u_7=4000*1.05^7=5628,401690625\ \approx{5628}$

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Mathematical symbols are critical to the discipline of statistics. A symbol can help identify which distribution and what type o

Shtirlitz [24]

Answer: sigma is used for measuring Population Standard Deviation.

Step-by-step explanation:

The lower case Greek letter 'sigma' is denoted by the symbol ( $\sigma$ ).

This symbol indicates the Population Standard Deviation of the data. Standard deviation means how much variation or dispersion is there in our data. Squaring of standard deviation gives us Variance which is denoted by the symbol $\sigma ^{2}$ .

Formula for Population Standard deviation ( $\sigma$ ) is = $\sqrt{\frac{\sum (x_i-\mu )^{2}}{N}}$ ,

where $x_i$ = each value from our list of data

$\mu$ = Population mean of data

N = Number of observations in our data

Standard deviation can never be negative and it is very much sensitive to outliers in our data.

8 0

3 years ago

Solve the right triangle, ΔABC, for the missing sides and angle to the nearest tenth given angle B = 27° and side c = 15.

nignag [31]

Answer:

Part 1) $C=90\°$

Part 2) $A=63\°$

Part 3) $b=6.8\ units$

Part 4) $a=13.4\ units$

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The triangle ABC is a right triangle

Angle C is a right angle

therefore

$C=90\°$

step 2

Fin the measure of angle A

we know that

In the right triangle ABC

∠B+∠A=90° -----> by complementary angles

we have

$B=27\°$

substitute

$27\°+A=90\°$

$A=63\°$

step 3

Find the length side b

we know that

In the right triangle ABC

$sin(B)=b/c$

$b=(c)sin(B)$

substitute the given values

$b=(15)sin(27\°)=6.8\ units$

step 4

Find the length side a

we know that

In the right triangle ABC

$sin(A)=a/c$

$a=(c)sin(A)$

substitute the given values

$a=(15)sin(63\°)=13.4\ units$

6 0

3 years ago

Question 15 of 46

kifflom [539]

The given polynomial function has 1 relative minimum and 1 relative maximum.

<h3>What are the relative minimum and relative maximum?</h3>

The relative minimum is the point on the graph where the y-coordinate has the minimum value.
The relative maximum is the point on the graph where the y-coordinate has the maximum value.
To determine the maximum and the minimum values of a function, the given function is derivated(since the maximum or minimum is obtained at slope = 0)

<h3>Calculation:</h3>

The given function is

f(x) = 2x³ - 2x² + 1

derivating the above function,

f'(x) = 6x² - 4x

At slope = 0, f'(x) = 0 (for maximum and minimum values)

⇒ 6x² - 4x = 0

⇒ 2x(3x - 2) = 0

2x = 0 or 3x - 2 = 0

∴ x = 0 or x = 2/3

Then the y-coordinates are calculated by substituting these x values in the given function,

when x = 0;

f(0) = 2(0)³ - 2(0)² + 1 = 1

So, the point is (0, 1)

when x = 2/3;

f(2/3) = 2(2/3)³ - 2(2/3)² + 1 = 19/27

So, the point is (2/3, 19/27)

Since y = 1 is the largest value, the point (0, 1) is the relative maximum for the given function.

So, y = 19/27 is the smallest value, the point (2/3, 19/27) is the relative minimum for the given function.

Thus, option A is correct.

Learn more about the relative minimum and maximum here:

brainly.com/question/9839310

#SPJ1

3 0

2 years ago

A recipe uses 1 1/4 cups of milk to make 10 servings if the same amount of milk is used for each serving how many servings can b

aev [14]

Answer:

128 servings

Step-by-step explanation:

5/4 cups of milk for 10 servings is equal to 1/8 cup per 1 serving

there are 16 cups in a gallon

let 'n' = # servings in a gallon

so 1/8 : 1 is 16 : n

1/8n = 16

n = 16(8)

n = 128

3 0

3 years ago

Help!!!<br> If AB=4 feet & AD=10 feet & m What is DC?<br> What is BD?

LuckyWell [14K]

DC= 4
BD= 10

Hope it’s right
Best luck with your studying

8 0

3 years ago

Read 2 more answers