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3 years ago

6

If AABC = ADEC, ZB = 3x and ZE = 6x - 39

1 answer:

Tom [10]3 years ago

8 0

Answer:

x = 13

Step-by-step explanation:

3x = 6x - 39 solve for x

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What is the GCF of and 55 and 80 *

Zarrin [17]

The Greatest Common Factor of 55 and 80 is 5.

3 0

3 years ago

Bob,Cal,and Pete each made a stack of baseball cards.Bob's stack was 0.2 meter high.Cal's stack was 0.24 meter high.Pete's stack

AlekseyPX

Answer:

0.24 > 0.18

Step-by-step explanation:

Given that,

Bob's stack = 0.2m

Cal's stack = 0.24m

Pete's stack = 0.18m

To find?

A number sentence.

<em>A simple sentence is a string/collection of words that contain a subject and a verb whereas a number sentence is a sentence that consist of </em><em>mathematical operation</em><em> like +, -, /, * together with an equality such as =, <, >, and like a sentence it also tell a fact.</em>

<em> </em>So, the number sentence that compares cal's stack of cards to Pete's stack is

<h2>0.24 > 0.18</h2>

<em />

<em />

<em> </em>

6 0

3 years ago

Read 2 more answers

(x + y + 2)(y + 1)<br> Solve

RideAnS [48]

Hello there! We are given the following equation and want to simplify it:

$(x+y+2)(y+1)$

First, let's use the Distributive Property:

$(a+b)(c)=ac+bc$

For this step, we are going to let:

$a=y$

$b=1$

$c=(x+y+2)$

After applying this version of the Distributive Property, we are given the equation:

$(y)(x+y+2)+(1)(x+y+2)$

We're going to use the distributive party again, but a slightly different version that's almost the same as first:

$(a)(b+c+d)=ab+ac+ad$

Using this on both terms of the equation changes the equation to:

$(xy+y^2+2y)+(x+y+2)$

Now, we just remove the parenthesis and combine like terms

$y^2+3y+xy+x+2$

This should be your answer. Let me know if you need any clarifications, thanks!

~ Padoru

6 0

2 years ago

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

So

$P(X >300 ) = 0.97219$

8 0

3 years ago

Which expression can be used to change 75 kilometers per hour to meters per minute?

atroni [7]

$1h=60min\\1km=1000m\\\\\\75\ km/h=75\cdot\frac{1000}{60}\ m/min=1250\ m/min$

4 0

2 years ago