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2 years ago

Plsssssss helppp ;w;w;

Mathematics

2 answers:

drek231 [11]2 years ago

7 0

Answer:

Given below.

Explanation:

Coordinates given: W( -4, -3 ) , X( 1 , -2 ), Y(2, -7 ) , Z( -3, -8)

To find the distance we will use the formula: distance=√((x2-x1)²+(y2-y1)²)

WX = √((1--4)²+(-2--3)²)

= √26

YZ = √((-3-2)²+(-8--7)²)

= √26

XY = √((2-1)²+(-7--2)²)

= √26

WZ = √(-3--4)²+(-8--3)²

= √26

WY = √(2--4)²+(-7--3)²

= 2√13

XZ = √(-3-1)²+(-8--2)²

= 2√13

statuscvo [17]2 years ago

5 0

Answer:

WX = √26

YZ = √26

XY = √26

WZ = √26

WY = 2√13

XZ = 2√13

hope this helps! <3

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What percentage of tickets sold were to seniors?

Kay [80]

Given:

The number of tickets sold to children $=35+87+62=184.$

The number of tickets sold to adults $=56+177+205=438.$

The number of tickets sold to seniors $=32+14+54=100.$

To determine the percentage of tickets sold to seniors we need to determine the total number of tickets sold to each category.

To determine the percentage of tickets sold to seniors:

In order to determine the percentage of tickets sold to the seniors, we divide the tickets sold to seniors by the total number of tickets sold to children, adults, and seniors.

This value is multiplied with 100 to convert it into a percentage.

The number of tickets sold to seniors $=100.$

The total number of tickets sold to children, adults, and seniors $= 184+438+100=722.$

The percentage of tickets sold to seniors $= \frac{100}{722} (100) = 0.1385(100)=13.85\%.$

Rounding this off, we get the value as 13.9%

Hence, option 1 is the correct answer.

8 0

3 years ago

X+y+z=1

andrezito [222]

Answer: x = 0

y = 2

z = -1

Step-by-step explanation:

The system of equations are

x+y+z=1 - - - - - - - - - - 1

-2x+4y+6z=2 - - - - - - - - - 2

-x+3y-5z=11 - - - - - - - - - 3

Step 1

We would eliminate x by adding equation 1 to equation 3. It becomes

4y -4z = 12 - - - - - - - - - 4

Step 2

We would multiply equation 1 by 2. It becomes

2x + 2y + 2z = 2 - - - - - - - - - 5

We would add equation 2 and equation 5. It becomes

6y + 8z = 4 - - - - - - - - - 6

Step 3

We would multiply equation 4 by 6 and equation 6 by 4. It becomes

24y - 24z = 72 - - - - - - - - 7

24y + 32z = 16 - - - - - - - - 8

We would subtract equation 8 from equation 7. It becomes

-56z = 56

z = -56/56 = -1

Substituting z = -1 into 7, it becomes

24y - 24×-1 = 72

24y + 24 = 72

24y = 72 - 24 = 48

y = 48/24 = 2

Substituting y = 2 and z = -1 into equation 1, it becomes

x + 2 - 1 = 1

x = 1 - 1 = 0

4 0

3 years ago

If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000

zavuch27 [327]

Answer:

$P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)$

And we can find this probability using the complement rule and the normal standard table or excel:

$P(z>0.85)=1-P(z$

The firgure attached illustrate the problem

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:

$X \sim N(100000,20000)$