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2 years ago

You start at the origin (0,0). Complete the following transformations and determine the final point.

Mathematics

1 answer:

zheka24 [161]2 years ago

4 0

Answer:

The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .

Step-by-step explanation:

hope it helps

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A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno

Reika [66]

Answer:

The 90th percentile of the distribution is 6.512 ml.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.

This means that $\mu = 6, \sigma = 0.4$

Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.

This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{X - 6}{0.4}$

$X - 6 = 1.28*0.4$

$X = 6.512$

The 90th percentile of the distribution is 6.512 ml.

3 0

3 years ago

A drop of oil makes a circular ring in a water puddle. The radius of the oil ring expands at 1.5 cm per second. If r(t)=1.5t and

Readme [11.4K]

Answer:

$a(t) =n(0.25t^2)$

Step-by-step explanation:

Given

$r(t) = 0.5t$

$a(r) = nr^2$

Required

Determine the area in terms of time

From the question, we have:

$r(t) = 0.5t$ -> radius per time

and

$a(r) = nr^2$ --> area from radius

The interpretation of the question is to find the composite function: a(t)

If $a(r) = nr^2$ , and $r(t) = 0.5t$ , the

Substitute 0.5t for r

$a(t) =n(0.5t)^2$

$a(t) =n*0.25t^2$

$a(t) =n(0.25t^2)$

5 0

2 years ago

A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^

Tomtit [17]

Answer:

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2% 2.2/100 =0.022

time t= 18years

by applying the expression

$V = Pe^{rt}$

We have

$V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90$

Hence after 18years the money in the account will be $430.90

8 0

2 years ago

Negative 11/14 times negative (1/17)

JulijaS [17]

Step-by-step explanation:

$- \frac{11}{14} \times - \frac{1}{17} \\ = \frac{11}{14 \times 17} \\ = \frac{11}{238}$

Hope it will help :)

7 0

2 years ago

Read 2 more answers

A system of linear equations has been graphed in the diagram. determine a reasonable solution for the system of equations.

Grace [21]

Answer:

(1,-1)

Step-by-step explanation:

The solution to a system of equation means the x and y values if we were to solve both equations (of lines) simultaneously.

That is also known as the intersecting points.

The top-right part is known as the 1st Quadrant in a coordinate system.

Top-left is 2nd Quadrant.

Bottom left is 3rd Quadrant.

Bottom right is 4th Quadrant.

The values of x and y (positive or negative) of each quadrant is shown below:

Quadrant 1: x +ve, y +ve
Quadrant 2: x -ve, y +ve
Quadrant 3: x -ve, y -ve
Quadrant 4: x +ve, y -ve

The intersection point (solution) of the 2 lines shown is in the 4th quadrant, which has x values positive and y values negative.

From the answer choices, we see that 3rd answer choice goes with this -- (1,-1), so this is the correct choice.

4 0

2 years ago