All categories

3 years ago

Geomtry plz help 15 points

Mathematics

2 answers:

Anton [14]3 years ago

7 0

Answer:

$DE=5x-12$

Step-by-step explanation:

From this we can see this is an equilateral triangle

So, both sides to make every angle equal have to be the same

That's why $DE=5x-12$

Brainliest please

gulaghasi [49]3 years ago

4 0

Answer:

DE = 5x-12 (base angles of isos triangle)

You might be interested in

A clock gains 4 minutes every hour. One day it is set to the correct time, 9:00 AM. What is the correct time when the clock show

Serhud [2]

First we have to figure out how many hours have passed. Since 1PM also means 1300 hours, we'll subtract 9 from 13. 13-9=4. therefore, 4 hours have passed. if it gains 4 minutes every hour, we'll multiply the amount of hours that have passed by the amount the clock gains every hour. 4x4=16. now we subtract 16 from 1300 because the clock is ahead of the real time, but remember and hour only has 60 minutes! 1300-16=1244. Therefore, the correct time is 12:44PM.

4 0

3 years ago

At NC State University, 16.4% of the undergraduate classes have more than 50 students. If a random sample of 200 undergraduate c

Lena [83]

Answer:

We need to check the conditions in order to use the normal approximation.

$np=200*0.164=32.8 \geq 10$

$n(1-p)=200*(1-0.164)=167.2 \geq 10$

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The mean is given by:

$p =0.164$

And the deviation is given by:

$\sigma_{p}= \sqrt{\frac{0.164*(1-0.164)}{200}}= 0.0262$

So then the correct options for this case are:

The sampling distribution will be approximately normal.

The mean of the sampling distribution will be 16.4%.

The standard deviation of the sampling distribution will be 0.0262.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=200, p=0.164)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=200*0.164=32.8 \geq 10$

$n(1-p)=200*(1-0.164)=167.2 \geq 10$

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The mean is given by:

$p =0.164$

And the deviation is given by:

$\sigma_{p}= \sqrt{\frac{0.164*(1-0.164)}{200}}= 0.0262$

So then the correct options for this case are:

The sampling distribution will be approximately normal.

The mean of the sampling distribution will be 16.4%.

The standard deviation of the sampling distribution will be 0.0262.

6 0

3 years ago

Marguerite is building a box from strips of wood. She needs 78 pieces of wood that are each 29 cantimeters long. The wood comes

Anarel [89]

She will need 3.77 pieces of wood because 1 piece is 6m which is 600 cm and she need 78 pieces of 29 cm so 78*29=2262 then you divide the by 600 and that gives you 3.77 so she realy need 4 sorry i f i got it wrong.

the answer either 3.77

or 4

7 0

4 years ago

Community Gym charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $170 membership fee and a $45 monthly fe

ale4655 [162]

Answer:

12 months

Step-by-step explanation:

55x + 50 = 45x + 170

10x = 120

x = 12

3 0

4 years ago

Michael orders pizzas from Pizza by Alfredo and from Alfredo’s Pizza Cafe. The pizzas from

FinnZ [79.3K]

Michael bought 7 pizzas from Pizza by Alfredo and 9 pizzas from Alfredo's Pizza Cafe.

Step-by-step explanation:

Cost of Pizza at Pizza by Alfredo = $3

Cost of pizza at Alfredo's pizza cafe = $5

Total amount spent = $66

Let,

Pizzas bought from Pizza by Alfredo = x

Pizzas bought from Alfredo's Pizza Cafe = y

According to given statement;

3x+5y=66 Eqn 1

5y = 3x+24 Eqn 2

Putting value of 5y from Eqn 2 in Eqn 1;

$3x+(3x+24)=66\\3x+3x+24=66\\6x=66-24\\6x=42$

Dividing both sides by 6

$\frac{6x}{6}=\frac{42}{6}\\x=7$

Putting x=7 in Eqn 2

$5y=3(7)+24\\5y=21+24\\5y=45$

Dividing both sides by 5

$\frac{5y}{5}=\frac{45}{5}\\y=9$

Michael bought 7 pizzas from Pizza by Alfredo and 9 pizzas from Alfredo's Pizza Cafe.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

6 0

3 years ago