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3 years ago

What is the sum of the interior angles of a 15-gon?

Mathematics

1 answer:

klemol [59]3 years ago

6 0

Answer:

2340 degrees

Step-by-step explanation:

Each triangle has an angle sum of 180 degrees, therefore the sum of interior angles of 15-gon will be 13×180=2340

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How do I write 55555 in expanded form

marta [7]

Answer:

FIFTY - FIVE THOUSAND FIVE HUNDRED AND FIFTY-FIVE

Step-by-step explanation:

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2 years ago

Read 2 more answers

Estimate the line of best fit using two points on the line 100 90 80 70 (e, 80) 60 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x+10

nexus9112 [7]

Answer:

$y = 10x$

Step-by-step explanation:

Given

The attached plot

Required

The line of the best fit using $(8,80)$ and $(2,20)$

We have:

$(x_1,y_1) = (8,80)$

$(x_2,y_2) = (2,20)$

Calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{20 - 80}{2- 8}$

$m = \frac{-60}{-6}$

$m = 10$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

$y = 10(x - 8) + 80$

Expand

$y = 10x - 80 + 80$

$y = 10x$

5 0

3 years ago

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s

Umnica [9.8K]

Answer:

88.51 is the minimum score needed to receive a grade of A.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.0793.

$P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793$

$= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793$

$=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207$

Calculation the value from standard normal z table, we have,

$P(z \leq 1.410) = 0.9207$

$\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51$

Hence, 88.51 is the minimum score needed to receive a grade of A.

3 0

2 years ago

F(x)=[[2x]] picewise functions

Lena [83]

Answer:

zknj;zhb

Step-by-step explanation:

zJ NKml

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2 years ago

Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?

lorasvet [3.4K]

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point $(15,0)$ :

$15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0$

So, (15, 0) satisfies all the inequalities

For point $(7.5,7.5)$ :

$7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0$

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

$22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\$

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in $s\geq 15-t$

$7.5\geq 15-0=15$ which is false

So, $(s,t)\neq (7.5,0)$

7 0

2 years ago