A rhombus, PQRS, has vertices at the points P(6, 2), Q(7,4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down. The image of PQRS is P'Q'R'S'. Work out the coordinates of the vertices of P'Q'R'S'.​

Using the normal distribution, it is found that the desired measures are given by:

a. Z = -0.67.

b. X = 2.2.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In item a, we have that [tex]X = 36, \mu = 40, \sigma = 6[/tex], and want to find Z, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{36 - 40}{6}[/tex]

Z = -0.67.

In item b, we have that [tex]\mu = 1.3, \sigma = 0.6, Z = 1.5[/tex], and want to find X, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.5 = \frac{X - 1.3}{0.6}[/tex]

X - 1.3 = 0.6 x 1.5

X = 2.2.

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Answer:

48 weeks to save $108

Step-by-step explanation:

$13.50 = 6 weeks so dividing both sides by 6 would find out how much each week

$13.50 / 6 = 6 / 6 weeks

$2.25 = per week

so $2.25 times _____ = $108

2.25x = 108 divided both side by 2.25 to get x alone

x is defined by the number of weeks

2.25x / 2.25 = 108 / 2.25

x = 48            $2.25 times   48   = $108

Answer:

See below

Step-by-step explanation:

If you take a whole sheet of paper and fold it in half, for instance, you will have 2 rectangles. If you fold it in half again, you will get 4 rectangles, and so on. Each time you fold by one-half, you keep doubling the amount of rectangles.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.

The two triangles can be made as shown below, the bigger triangle will be an equilateral triangle with each side measuring 10 units, while the smaller triangle will be an isosceles triangle and the measure of the same length side will be equal to the radius of the circle.

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Answer:

The radius of the circle r=12.

The area of a circle is 144π.

Step-by-step explanation:

The radius of the circle is r where 2πr=24π, r=12.

The area of a circle with radius 12 is

A=πr², A=π12², A=144π.

Answer:

26 m

Step-by-step explanation:

Use pythag theorem

24^2 + 10^2  = d^2

d= 26 m

The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft

The equation is given as:

(6 + x) * (9 + x) = 88

Express 88 as a product of two factors

(6 + x) * (9 + x) = 8 * 11

Express 8 and 11 as a sum

(6 + x) * (9 + x) = (6 + 2) * (9 + 2)

By comparison, we have:

6 + x = 6 + 2

9 + x = 9 + 2

This means that

x = 2

So, we have:

The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft

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Answer: D) two possible amounts by which the dimensions were changed

Step-by-step explanation:

Edg 2022

Answer:

x^-2 = 1/36

x^-1 = 1/6

x^0 = 1

x^1 = -6

x^2 = 36

#1

#2

#3

#4

#5

Answer:

c: 275

Step-by-step explanation:

Based on the graph given, the two points that need to be plotted are (9, 4) and (7, 3).

The points that are already plotted on the graph represent the results of the hours of television watched by children.

For instance, children of 6 years watched 2 hours of television. For that reason, the point where 6 (x axis) and 2 (y axis) meet on the graph is marked with an x.

The last two points would therefore be (9, 4) and (7, 3) to show that 9 year olds watch 4 hours of television and 7 year olds watch 3 hours of television.

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Answer:

x = 42

Step-by-step explanation:

a striaght line = 180°

z + y + x = 180

103 + 135 + x = 180

138 + x = 180

subtract 138 from both sides

138 - 138 + x = 180 - 138

x = 42

Answer:

what shape it is

Step-by-step explanation:

wat is the shape

The measure of the angle is 205°. Then the correct option is A.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

There are 4 quadrants and each quadrant has a measure of 90° angle.

The fact that the orientation is positive indicates that the arm is moving from the first to the second quadrant.

90° + 90° = 180°

The arm has been in the third quadrant due to the additional 25° rotation.

180° + 25° = 205°

The measure of the angle is 205°.

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Answer:

Step-by-step explanation:

Solve The equation 1/4t-6=-4

1/4t - 6 = -4

1/4t = 2

t = 2 * 4

t = 8

-------------------

check

1/4 * 8 - 6 = -4

2 - 6 = -4

-4 = -4

the answer is good

Answer:

17

Step-by-step explanation:

10=7-m

m=???

so if you do 10+7 which equal 17 and then do 17-7 you will get ten

m=17

have a good day

Answer:

the answer is -3

Step-by-step explanation:

10 = 7 -m

swap sides so that all the variable terms are on the left hand side

7 - m =10
subtract 7 from both sides

-m + 10 - 7

subtract 7 from 10 to get 3

multiply both sides by -1

m = -3

Step-by-step explanation:

first, draw a graph and subtract the nbers in brackets with the others. when done -6,-4 will help you solve the answer

The  distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units

The formula for calculating the distance between two points is expressed as:

D = √(y2-y1)²+(x2-x1)²

Given the coordinate points X(−4,3) and Y(2,−7)

Substitute

XY = √(-7-3)²+(2+4)²

XY = √(-10)²+(6)²

XY = √100+36
XY = √136

XY = 11.7 units

Hence the  distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units

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Answer:

-7.75

Step-by-step explanation:

[tex]\text{if}\ x = 8 \rightarrow y = 124\\y \propto x\\y = kx\\\\124 = k \times 8 = 8k\\\frac{124}{8} = \frac{8k}{8}\\15.5 = k\\\\\text{We've now found the formula}\\y \propto x\\y = kx = 15.5x\\\\x = -\frac{1}{2} \rightarrow y = ?\\y = 15.5x = 15.5 \times -\frac{1}{2} = -7.75[/tex]

Answer:

275

Step-by-step explanation:

20 x 9 = 180

180 + 95 = 275

Answer:

I hope this is the whole question

Step-by-step explanation:

Well I can only see one way and it is this...

[tex]\sqrt{27a}[/tex]  =  [tex]\sqrt{3.3.3.a}[/tex]

         =  [tex]3\sqrt{3a}[/tex]

I got rid of one perfect-square. I dont think you can do much more.

The value of angle 2 will be equal to 132°.

The distance between two intersecting lines or surfaces at or around the point where they meet (typically measured in degrees) is called an angle.

Given that:-

A line is intersecting two parallel lines and making angles one angle is 132 and another angle is need to be found.

We can see that the two angles are exterior opposite angles so the angle 2 will be 132

Hence the value of angle 2 will be equal to 132°.

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Answer:

-3k + 10

Step-by-step explanation:

you have to combine -8 and 2 because they are like terms, but since -8 is being subtracted from -3k the minus sign and the negative sign basically combine to make a positive sign so it would make it -3k + 8 + 2 which gives you -3k + 10

Answer: Heyaa! ~

Your Answer is... − 3k+10

Step-by-step explanation:

Hopefully this helps you! ~

Answer:

$17 ( 17 USD )

Step-by-step explanation:

C(x)=11.00+0.15x

40 copies:

C(40) = 11+0.15(40)

C(40) = 11+6

C(40) = $17

Therefore, the total cost for an order of 40 copies is $17.

Hope this helps!!!

Please mark as brainliest!!!

P.S. I guess you don't have to change schools now?

The time taken by the bacterias to reach 3,700 will be 2.81 days.

It is given in the question that:-The the number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:

[tex]B(d)=2425\ e^{0.15d[/tex]

[tex]3700= 2425\ e^{0.15d}\\\\\\e^{0.15d}=\dfrac{3700}{2425}\\\\\\0.15d=ln\dfrac{3700}{2425}\\\\\\[/tex]

d   =   2.81  days

Hence the time taken by the bacteria to reach 3,700 will be 2.81 days.

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Using it's concept, it is found that the desired probability is given as follows:

P(Head, Diamond AND Head, Heart) = 1/64.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, for each trial, there are 8 equally as likely outcomes, hence:

Hence the probability of both outcomes is given by:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

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reflection on x-axis

then translations right 3 units & down 2 units

The probability that the spinner is multiple of 4 or multiple of 7 is 1/3

Probability is the likelihood or chance that an event will occur, Mathematically;

Probability = expected/total

If a game has a spinner with 15 equal sectors labeled 1 through 15, the total outcome is 15

P(multiple of 4) = 3/15 =1/5

Pr(multiple of 7 )= 2/15

p(multiple of 4 or multiple of 7) = 1/5 + 2/15
p(multiple of 4 or multiple of 7) = 5/15 =1 /3

Hence the probability that the spinner is multiple of 4 or multiple of 7 is 1/3

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