Use the information below to determine the new coordinates of the image under the given translation.
Triangle ABC with vertices
A(0, 7), B(7, 3),
and C(1, 4): (x, y) → (x − 3, y - 4)

Answer:

D. A discrete data set because there are a finite number of possible values.

Step-by-step explanation:

Assuming in a test of a method of gender selection, 725 couples used the XSORT method and 368 of them had baby girls. The value given is from a discrete data set because there are a finite number of possible values.

In Mathematics, a discrete data is a data set in which the number of possible values are either finite or countable.

On the other hand, a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable.

Hence, if 725 couples used the XSORT method and 368 of them had baby girls; this is a discrete data because the values (725 and 368) are finite and can be counted.

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

Here is the desmos graph

Step-by-step explanation:

For the given figure,   x = 23°  and      y = 129°

Parallel lines:

                        Parallel lines are lines that always stay the same distance apart and never meet.

Transversal line :

                             A transversal is a line that crosses two or more other lines.

given,

     ∠TLN = (3x - 18)°

    ∠MZQ = (5x + 14)°

    ∠NLM = y°

Now,

         ∠MZP + ∠MZQ = 180°  (Linear Pair)

        ∠MZP  = 180° - ∠MZQ  ...........(I)

again,

          ∠NLM + ∠TLN  =180°  ...........(II)      (Linear Pair)

  As,         ∠TLN = ∠MZP  (Corresponding Angle)

             (3x - 18)° =  180° - ∠MZQ  

           (3x - 18)° = 180° - (5x + 14)°

         3x + 5x  = 180° - 14° + 18°

           8x = 184°

           x = 184 / 8

          x = 23°

      From (II),

      ∠NLM + ∠TLN  =180°

    y° + 3x - 18° = 180°

 y = 180 - 3x + 18

     = 180 - 3* 23 + 18

      = 180 - 69 +18

     y = 129°

For the given figure,

                                     x = 23°  and      y = 129°

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Step-by-step explanation:

The prime numbers 5 and 3 are both factors that are common to 30 and 75. The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.

Answer:

the Greatest common factor of 30 and 75 is 15

Step-by-step explanation:

The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.

Answer:

\(C = 2\pi r\\\)

Step-by-step explanation:

\(Circumference = 2\times \pi \times r\)

9514 1404 393

Answer:

Step-by-step explanation:

As is usually the case, the figure is not drawn to scale.

Angles 3, 4, and 5 together form a linear angle.

  (x +18) +(x +15) +(4x +3) = 180

  6x +36 = 180

  x +6 = 30

  x = 24

Angle 1 is a vertical angle with respect to angle 3, so has the same measure. That measure is ...

  ∠1 = ∠3 = x +18 = 24 +18 = 42 . . . . degrees

In order for congruent angles to be complementary, they would both have to be 45°. Neither of angles 1 and 3 have this measure.

Angles 1 and 3 are not complementary.

Answer:

(1) The correct option is (B).

(2) The mean of the distribution of sample means is 19 fl. oz.

(3) The standard deviation of the distribution of sample means is 0.283 fl. oz.

(4) The correct option is (C).

Step-by-step explanation:

According to the Central Limit Theorem if we have a normal population with mean μ and standard deviation σ and a number of random samples are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

The mean of the sampling distribution of sample mean will be:

\(\mu_{\bar x}=\mu\)

And the standard deviation of the sampling distribution of sample mean will be:

\(\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}\)

The information provided is:

μ = 129

σ = 0.80

n = 8

(1)

The shape of the sampling distribution of sample mean will be Normal.

This is because the population from which the sample is selected is normal.

The correct option is (B).

(2)

Compute the mean of the distribution of sample means as follows:

\(\mu_{\bar x}=\mu\)

    \(=129\)

Thus, the mean of the distribution of sample means is 19 fl. oz.

(3)

Compute the standard deviation of the distribution of sample means as follows:

\(\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}\)

    \(=\frac{0.80}{\sqrt{8}}\\\\=0.282843\\\\\approx 0.283\)

Thus, the standard deviation of the distribution of sample means is 0.283 fl. oz.

(4)

Any change in the sample size will have no effect on the mean of the distribution of sample means.

But, if the sample is increased or decreased than the standard deviation will be decreased or increased respectively.

This is because the standard deviation of the distribution of sample means is inversely proportional to the sample size.

So, for n = 100 the standard deviation is:

\(\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}\)

    \(=\frac{0.80}{\sqrt{10}}\\\\=0.282843\\\\\approx 0.08\)

Thus, the standard deviation was decreased.

The correct option is (C).

Using the Central Limit Theorem, it is found that:

1. B. Normal.

2. The mean is of 129 fl. oz.

3. The standard deviation is of 0.283.

4. C. The standard deviation would decrease.

Item a:

Item b:

Item c:

Then:

\(s = \frac{0.8}{\sqrt{8}} = 0.283\)

Item d:

The standard deviation is inversely proportional to the square root of the sample size, hence it would decrease, and option C is correct.

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Answer:

Current Ratio

Step-by-step explanation:

The current ratio is a liquidity ratio that measures how able a company is to pay short-term obligations, or current liabilities, with its current assets.

The formula is \(Current\:Ratio=\frac{Current\:Assets}{Current\:Liabilities}\)

Answer:

100, 197, 13

Step-by-step explanation:

Total revenue from 1st movie

16×100 = 1600

Revenue from 2nd and 3rd movie = 4980 - 1600 = 3380

Total number of tickets sold = 310

Number of tickets sold for 2nd and 3rd movie combined = 310 - 100 = 210

Let x be number of 2nd movie tickets, y be number of 3rd movie tickets

x + y = 210, multiplying this by 13,

13x + 13y = 2730   (1)

13x + 18y = 3380   (2)

(2) - (1)

5y = 650

y = 13

x = 197

Answer:

I think its 19

Step-by-step explanation:

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   Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

\(\frac{(17)(3.141593)}{12}\)

= \(\frac{53.407075}{12}\)

= \(4.45059\)

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Also Have a great day/night!

❀*May*❀

I have an answer and explanation but I can't type so search up the question you asked and you should get an answer and explanation from s0cratic.

Answer:

c

Step-by-step explanation:

9-3=6 and the graph line starts at 0 so ya

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

3y + 4

Step-by-step explanation:

3(y-1) +7

3y -3 +7

3y +4

The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

Answer:

m<C = 180 - (90+32)

= 180 - 122

= 58°

4a)

Looking at the figure,

AD and BE are parallel lines

AE and BD are transversals

Thus,

angle DAE is congruent to angle BEA because they are alternate angles(They lie in similar positions but on alternate sides of the transversal

Also,

angle ADB is congruent to angle EBD because they are alternate angles(They lie in similar positions but on alternate sides of the transversal.

Angle ACD is congruent to angle BCE

Recall, 2 triangles are similar if at least, 2 of their corresponding angles are congruent. In this case, 3 corresponding triangles are congruent. Thus,

triangle ADC is similar to triangle EBC by AA(angle angle) postulate

4b) If 2 triangles are similar, it means that the ratio of their corresponding sides is equal. Thus,

AD/EB = DC/BC = AC/ CE

From the information given,

AD = 2

AC = 4

EB = 5

Thus,

2/5 = 4/CE

By cross multiplying,

2 * CE = 5 * 4

2CE = 20

CE = 20/2

CE = 10

The slope of a line parallel to 2y= 6x+8 is 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:

m₁ = m₂

By making y the subject of formula, we have:

2y = 6x + 8

y = 3x + 4

Therefore, the slope is 3.

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If three different orders are selected, the probability that they are all from restaurant A is 0.0280

Total order both accurate and not accurate = 1131

Total orders from restaurant A (both accurate and not accurate) = 344

Probability of first order from A = 344/1131

Probability of second order from A = 343/1130

Probability of third order from A = 342/1129

Probability of the first three orders from A = 344/1131 × 343/1130 × 342/1129

Probability of the first three orders from A = 0.0280

Therefore, if three different orders are selected, the probability that they are all from restaurant A is 0.0280

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Answer:

H0 : μ = 38

H 1 : μ < 38

Test statistic = - 1.11

Pvalue = 0.13

We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.

Step-by-step explanation:

H0 : μ = 38

H 1 : μ < 38

The test statistic :

(xbar - μ) ÷ (s / sqrt (n))

(36.1 - 38) ÷ (10.8 / sqrt(40))

-1.9 ÷ 1.7076299

= - 1.113

= - 1.11 ( 2 decimal places)

α = 0.10

Using the value calculator :

P(Z < - 1.113) = 0.13285

Pvalue = 0.13285

Pvalue = 0.13 ( 2 decimal places)

Reject the Null if Pvalue < α

Since; 0.13285 > 0.01 ; We fail to reject the Null

We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.

Answer:

\(A:E:M = 6:4:5\)

Step-by-step explanation:

Given

Abam =N3.00 when Emeka = N2.00

Emeka = N4.00 when Madu = N5.00

Required

Determine their ratios

Represent their ratios with the first letter of their names:

From the first statement

\(A:E = 3:2\) ---- (1)

From the second

\(E:M = 4:5\) ----- (2)

Multiply the ratio in (1) by 2

\(A:E = 3 * 2: 2 * 2\)

\(A:E = 6: 4\) ---- (3)

Notice that the value of E in both cases is the same i.e E = 4

(1) and (3) can be merged to give:

\(A:E:M = 6:4:5\)

Answer:

False.

Step-by-step explanation:

All of the signs for terms must be the opposites of their original signs.

Answer:

5x • (x + 3y) • (x - 2y)

Step-by-step explanation:

Answer:

\( \displaystyle 702\)

Step-by-step explanation:

we are given a exponential function

\( \displaystyle f(x) = {3}^{x + 1} - 22\)

where x represents the number and f(x) represents the amount

we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165

to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by

\( \displaystyle m = \frac{ f(x)_ {2} - f(x)_{1} }{ x_{2} - x_{1} } \)

substitute what we have:

\( \displaystyle m = \frac{ 2165 - 59 }{6 - 3 } \)

simplify substitution:

\( \displaystyle m = \frac{2106 }{3 } \)

simplify division:

\( \displaystyle m = 702\)

hence, the average rate of change between 3 and 6 is 702

Answer:

smallest whole number is 0 so product of 0 is 0

smallest natural number is 1 so product of 1 is 1

Answer:

24

Step-by-step explanation:

you 8times3=24

2.5 miles a hour ( 2.666666666666667 miles an hour) lemme know if im

right !

1) To find the slope let's apply the slope-intercept formula

2) So the slope of the line is m= 4/3 a positive slope for that function.