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makvit [3.9K]
3 years ago
5

PLS HELP ME solve the system of equations all I need is to find x,y and z

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

(x,y,z)=(-4,-2,-5)

I added some images for explanation

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How many units the function y = |x - 8| is translated from the parent function?
PtichkaEL [24]

Answer:

8 Units, let me know if you didn't understand anything.  

Step-by-step explanation:

Translation is the simple movement of just left, right, up or down.  when dealing with the absolute value function here are the transformations.

A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D.  B is the horizontal shrink, so you divide all x  values by B except for where x=C.  C is the horizontal shift, which is a translation.  C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left.  it could also look like |x + C|.  keep in mind, +C is actually -C because - -C = C.  D shifts up and down, so it is also a translation.  if D is positive it moves up and if D is negative it moves down.

Nowthe only transformation in your problem is -8, which is a horizontal shift to the right.  so the graph moves 8 to the right.  There is your answer, 8 units.

6 0
3 years ago
In a survey of some tourists, 80% of the tourists have been to India and 35% of the tourists have been to china.If all the touri
Leto [7]

Answer:

  585

Step-by-step explanation:

This sort of problem can be solved using a 2-way table that categorizes tourists by combination of destinations. Of the four possible combinations, one is ruled out (China, but not India). We can determine percentages and numbers for the combinations of interest using the given data.

__

80% have been to India, so 20% have not. All of those have also not been to China. Since tourists in that category number 260, there must be ...

  260/20% = 1300 . . . tourists surveyed

Of the 80% who have been to India, 35% have been to China. That leaves 45% who have been to India, but not China. This number is ...

  45% × 1300 = 585

The number of tourists who have been to India, but not China, is 585.

7 0
2 years ago
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s
Margaret [11]

Answer:

QR = 6.0033

QS = 8.22

RS = 6.0033

QRS is isosceles

Step-by-step explanation:

Given

See attachment for complete question

From the attachment, we have the following parametersQR = \sqrt{(-3-0)^2+(-5.2-0)^2}

QR = \sqrt{9+27.04}

QS = \sqrt{(-3-5)^2+(-5.2-(-3.322))^2}

QS = \sqrt{64+3.53} = \sqrt{67.53

RS = \sqrt{(0-5)^2 + (0 - (-3.322))^2}

RS = \sqrt{(25 + 11.04}

Solving further, we have:

QR = \sqrt{9+27.04}

QR = \sqrt{36.04}

QR = 6.0033

QS = \sqrt{64+3.53} = \sqrt{67.53}

QS = 8.22

RS = \sqrt{25 + 11.04}

RS = \sqrt{36.04}

RS = 6.0033

From the calculations;

RS = QR = 6.0033

<em>This means that: QRS is isosceles</em>

8 0
3 years ago
Please help! see attached
nikdorinn [45]

Answer:

  1. The lowest value of the confidence interval is 0.5262 or 52.62%
  2. The highest value of the confidence interval is 0.5538 or 55.38%

Step-by-step explanation:

Here you estimate the proportion of people in the population that said did not have children under 18 living at home.It can also be given as a percentage.

The general expression to apply here is;

C.I=p+-z*\sqrt{\frac{p(1-p)}{n} }

where ;

p=sample proportion

n=sample size

z*=value of z* from the standard normal distribution for 95% confidence level

Given;

n=5000

<u>Find p</u>

From the question 54% of people chosen said they did not have children under 18 living at home

\frac{54}{100} *5000 = 2700\\\\p=\frac{2700}{5000} =0.54

<u>To calculate the 95% confidence interval, follow the steps below;</u>

  • Find the value of z* from the z*-value table

The value of z* from the table is 1.96

  • calculate the sample proportion p

The value of p=0.54 as calculated above

  • Find p(1-p)

0.54(1-0.54)=0.2484

  • Find p(1-p)/n

Divide the value of p(1-p) with the sample size, n

\frac{0.2448}{5000} =0.00004968

  • Find the square-root of p(1-p)/n

=\sqrt{0.00004968} =0.007048

  • Find the margin of error

Here multiply the square-root of p(1-p)/n by the z*

=0.007048*1.96=0.0138

The 95% confidence interval for the lower end value is p-margin of error

=0.54-0.0138=0.5262

The 95% confidence interval for the upper end value is p+margin of error

0.54+0.0138=0.5538

7 0
3 years ago
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If Nayja has 50 apples and gives Jack 20 how many will she have in all?
MatroZZZ [7]

she will then have 30 apples:)

7 0
3 years ago
Read 2 more answers
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