Which choices correctly describe reflections in the diagram? Check all that apply.
1)The red triangle A is reflected across the x-axis onto triangle B.
2)The red triangle A is reflected across the y-axis onto triangle D.
3)The blue triangle D is reflected across the x-axis onto triangle C.
4)The blue triangle D is reflected across the line y = x onto triangle B.
5)The green triangle C is reflected across the line y = –x onto triangle A.

Answer:

case 1) Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down

Step-by-step explanation:

Verify the 4 Options

case 1) Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down

The equation of the circle is

[tex](x+2)^{2}+(y-6)^{2}=4[/tex]

The center of the circle is the point [tex](-2,6)[/tex]

The rule of the translation is

[tex](x,y)-------> (x+2,y-6)[/tex]

Applying the rule to the center

[tex](-2,6)-------> (-2+2,6-6)[/tex]

[tex](-2,6)-------> (0,0)[/tex]

Therefore

The translation results in a circle whose center is at the origin

case 2) Circle open parentheses x minus 1 close parentheses squared plus open parentheses y plus 2 close parentheses squared equals 4 translated 1 unit left and 2 units down

The equation of the circle is

[tex](x-1)^{2}+(y+2)^{2}=4[/tex]

The center of the circle is the point [tex](1,-2)[/tex]

The rule of the translation is

[tex](x,y)-------> (x-1,y-2)[/tex]

Applying the rule to the center

[tex](1,-2)-------> (1-1,-2-2)[/tex]

[tex](1,-2)-------> (0,-4)[/tex]

Therefore

The translation results in a circle whose center is not at the origin

case 3) Circle open parentheses x minus 2 close parentheses squared plus open parentheses y plus 3 close parentheses squared equals 4 translated 2 units right and 3 units up

The equation of the circle is

[tex](x-2)^{2}+(y+3)^{2}=4[/tex]

The center of the circle is the point [tex](2,-3)[/tex]

The rule of the translation is

[tex](x,y)-------> (x+2,y+3)[/tex]

Applying the rule to the center

[tex](2,-3)-------> (2+2,-3+3)[/tex]

[tex](2,-3)-------> (4,0)[/tex]

Therefore

The translation results in a circle whose center is not at the origin

case 4) Circle open parentheses x minus 3 close parentheses squared plus open parentheses y minus 5 close parentheses squared equals 4 translated 3 units left and 5 units up

The equation of the circle is

[tex](x-3)^{2}+(y-5)^{2}=4[/tex]

The center of the circle is the point [tex](3,5)[/tex]

The rule of the translation is

[tex](x,y)-------> (x-3,y+5)[/tex]

Applying the rule to the center

[tex](3,5)-------> (3-3,5+5)[/tex]

[tex](3,5)-------> (0,10)[/tex]

Therefore

The translation results in a circle whose center is not at the origin

Answer:

a) 0.7486; b) 0.6518; c) No

Step-by-step explanation:

We use z scores to answer these questions.  The formula for a z score is

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

Our mean, μ, is 44; our standard deviation, σ, is 1.5.

For part a,

We want P(X > 43):

z = (43-44)/1.5 = -1/1.5 = -0.67

Using a z table, we see that the area under the curve to the left of this is 0.2514.  However, we want the area to the right; this means we subtract from 1:

1 - 0.2514 = 0.7486

For part b,

We want P(42 ≤ X ≤ 45):

z = (42-44)/1.5 = -2/1.5 = -1.3

z = (45-44)/1.5 = 1/1.5 = 0.67

Using a z table, the area under the curve to the left of z = -1.3 is 0.0968.  The area under the curve to the left of z = 0.67 is 0.7486.

The area between them is 0.7486 - 0.0968 = 0.6518.

For part c,

A response of 35 has a z score of

z = (35-44)/1.5 = -9/1.5 = -6

This is 6 standard deviations below the mean.  This is more than the amount required to make this an outlier, or an unlikely response.

Answer:

There are no outliers

Step-by-step explanation:

An outlier is a number thats far different than the numbers selected. All of these numbers are close to each  other.

Answer:

Option D. there are no outliers.

Step-by-step explanation:

The given prices of five used cars in the data set we have to find the outlier number.

Outlier number in a data set is very different from the data set values. It may be more greater or more lower numbers from the other numbers.

In the given data set all the numbers are close to each other.

Therefore, Option D. there are no outliers.

Answer with Step-by-step explanation:

We are given an expression:

28 + x - 2n + 7 - n - 5x + 4

We have to find its equivalent expression

On combining the like terms of the above expression

28+4+7+x-5x-2n-n

= 39-4x-3n

= -3n-4x+39

According to Tyrone the equivalent expression was:

-3n - 5x + 39 + x

The error Tyrone made was:

A. Tyrone neglected to combine the x terms

Answer:

The answer is A

Step-by-step explanation:

Answer:

P (red) = 1/2

Step-by-step explanation:

It is given that a card is drawn from a well-shuffled deck of 52 cards and we are to find the probability of getting a red card.

We know that there are total 26 red cards in a deck (13 hearts and 13 diamonds).

Therefore, the probability of getting a red card P (red) = [tex] \frac { 2 6 } { 5 2 } [/tex] = 1/2

The probability of drawing a red card from a well-shuffled 52-card deck is 1/2 since half of the cards in the deck are red (26 out of 52)

This question pertains to the topic of probability in Mathematics. There are 52 cards in a standard deck, half of which are red (26 red cards: 13 hearts and 13 diamonds). Hence, the probability of drawing a red card is the number of red cards over the total number of cards in the deck.

So, the probability of drawing a red card from a well-shuffled 52-card deck is 26/52, simplified to 1/2. Hence the correct answer from the given choices is 1/2.

https://brainly.com/question/32117953

#SPJ3

Answer:

x = -1, 3

Step-by-step explanation:

so what you need to do is graph each one because that's what the questions ask. One way for you to check your answer is to set the two equations equal to each other.

-x + 5 = x^2 - 3x + 2

you want to end up with one equation and having the equation equal 0. So add x to both sides to cancel out the x on the left side and then subtract 5 from both sides to cancel out the 5 on the left side.

0 = x^2 - 2x - 3

now you factor

0 = (x - 3) (x + 1)

x = -1, 3

Answer:

2

Step-by-step explanation:

The probabilities are;

a) 0.03

b) 0.691

c) 0.2.

How to calculate probability.

Given information

A company surveyed 1000 people on their age and the number of jeans purchased annually. The results of the poll are shown in the above table.

a) The person is over 25 and purchases 3

or more pairs of jeans annually

P(25 and 3 or Jeans)

[tex] = \frac{30}{1000} [/tex]

= 0.03

b) The person is older than 18 or purchases

1 pair of jeans annually.

[tex] = \frac{560 + 274 - 143}{100} [/tex]

[tex] = \frac{691}{1000} [/tex]

= 0.691

c) The person is 12 - 18 in the age group

and purchases at most 2 pairs of jeans annually

[tex] = \frac{17 + 61 + 122}{1000} [/tex]

[tex] = \frac{200}{1000} [/tex]

= 0.2

Complete question

A company surveyed 1000 people on their age and the number of jeans purchased annually. The results of the poll are shown in the table. A person is selected at random. Compute the probability of the following. The person is over 25 and purchases 3 or more pairs of jeans annually. The person is older than 18 or purchases 1 pair of jeans annually. The person is in the age group 12-18 and purchases at most 2 pairs of jeans annually.

Answer:

2,760

Step-by-step explanation:

PLATO.

Answer:

[tex]5^{2}[/tex] = 25 :) hope this helps

Step-by-step explanation:

Answer:

Yes, twice

Step-by-step explanation:

The equation will intersect the x-axis when y = 0, so we have

x² - 4x = -3    now solve this quadratic for x...

  x² - 4x + 3 = 0    

factor...

(x - 3)(x - 1) = 0,

so at x = 1 and x = 3, the function crosses the x-axis

See the graph below

Yes, because the center is on the x-axis, the circle will intersect 2 times, at x=1 and at x=3

Answer:

option(D)

x= 30 , y = 10√3

Step-by-step explanation:

Given in the question, a right angle triangle whose

hypotenuse = 20√3

We will use pythagorus theorem and trigonometry identities to find the value of x and y

Formula to use

sin(30) = y /  20√3

y = sin(30) x 20√3

y = 10√3

(20√3)² =  (10√3)² + x²

(20√3)² - (10√3)² = x²

x² = 900

x = √900

x = 30

so, the value of x = 30 and y = 10√3

Answer:

[tex]x=30,y=10\sqrt{3}[/tex]

Step-by-step explanation:

Recall the mnemonics SOH CAH TOA.

We use the cosine ratio to find the value of [tex]x[/tex].

[tex]\cos(30\degree)=\frac{Adjacent}{Hypotenuse}[/tex]

This implies that;

[tex]\cos(30\degree)=\frac{x}{20\sqrt{3}}[/tex]

[tex]\frac{\sqrt{3}}{2} =\frac{x}{20\sqrt{3}}[/tex]

Cross multiply to get;

[tex]2x=20\sqrt{3}\times \sqrt{3}[/tex]

[tex]2x=60[/tex]

[tex]x=30[/tex]

Using the sine ratio

[tex]\sin(30\degree)=\frac{y}{20\sqrt{3} }[/tex]

[tex]\frac{1}{2}=\frac{y}{20\sqrt{3} }[/tex]

Tis implies that;

[tex]y=\frac{1}{2} \times 20\sqrt{3}[/tex]

[tex]y=10\sqrt{3}[/tex]

The correct choice is D.

42 flats per table is your answer

Answer:

option (B)

15 + 5√3

Step-by-step explanation:

In a 30-60-90 triangle, you can find the measure of any of the three sides, simply by knowing the measure of at least one side in the triangle.

Given in the question,

length of small leg = 5

As we know that

The hypotenuse is equal to twice the length of the shorter leg

The longer leg is equal to multiplying the shorter leg by the square root of 3

Perimeter of a triangle = sum of the length of three sides

                                     =  5√3 + 10 + 5

                                     = 15 + 5√3

Answer:

It is  D.

Step-by-step explanation:

10^ 6  = 1,000,000 = 1 million.

So it is 6.794 million meters.

Answer:

198

Step-by-step explanation:

If the ratio of adults to children is 6:11, then 6/17 of the people are adults and 11/17 of the people are children.

11/17 × 306 = 198

There are 198 children.

Final answer:

The probability of rolling a number less than 5 on a six-sided die is 2/3. When rolling the die 250 times, this probability suggests that a number less than 5 would be rolled approximately 167 times.

Explanation:

To predict the number of times you will roll a number less than 5 when rolling a standard six-sided die (with faces numbered 1 through 6), it's important to first understand the probability of rolling a number less than 5 for any single roll. Our numbers of interest here are 1, 2, 3, and 4.

The probability P of rolling any one of these four numbers on a six-sided die is 4 out of 6 (since there are 4 favorable outcomes and 6 possible outcomes in total), which simplifies to 2/3. This means that on any given roll, you have a 2/3 chance of rolling a number less than 5.

When rolling the die 250 times, we would expect this 2/3 probability to hold true on average. Therefore, we calculate the expected number of times a number less than 5 appears as follows:

Expected number of rolls less than 5 = Total number of rolls × Probability of rolling a number less than 5

Expected number of rolls less than 5 = 250 × 2/3

Expected number of rolls less than 5 = approximately 166.67

Since we cannot roll a die a fraction of a time, we would predict that you would roll a number less than 5 approximately 167 times out of 250 rolls.

Answer:

Max would save $126 if he quit smoking.

Step-by-step explanation:

It is given that the age of max is 33.

From the given table it is clear that the monthly premium for every $25000 of coverage for age group 31-40 non smoker male is 5.50 and smoker male is $9.00.

Total yearly premium for $75000 for non smoker male of 33 age is

[tex]P_1=5.50\times 3\times 12=198[/tex]

Total yearly premium for $75000 for smoker male of 33 age is

[tex]P_2=9.00\times 3\times 12=324[/tex]

If he quit smoking then he save

[tex]Saving=P_2-P_1[/tex]

[tex]Saving=324-198[/tex]

[tex]Saving=126[/tex]

Therefore max would save $126 if he quit smoking.

Answer:

x > -8

Step-by-step explanation:

First you distribute the -5 and get

-5x-35 < 10

Then you add 35 to both sides and get

-5x<45

Then dived by NEGATIVE 5 (since it is negative you flip the less than signs to greater than) and get

x> -8

Answer:

1.8 miles

Step-by-step explanation:

3/5 * 3 for the extra mile that he walks

Answer:

1 4/5 miles to school. 3 3/5 miles if you wanted to know to school AND back.

Step-by-step explanation: You would take the 3/5 of a mile that Slaura walks every day and multiply it by 3. Your equation would be 3/5 x 3/1. Your answer for how many miles Isaiah walk to school everyday is 9/5 or 1 4/5 miles. If you wanted to know how many miles Isaiah walked to school AND back, then you would double 1 4/5 miles.

Answer:

Area of parallelogram divided by 2 is the triangles are.

Area of parallelogram = B x H and triangle area = 1/2 x B x H

Step-by-step explanation:

Answer:

A ) The area of Δ ABC is 2 units greater than area of parallelogram GHJK.

Step-by-step explanation:

Answer:

[tex]\large\boxed{P=(3\pi+4)\ ft}[/tex]

Step-by-step explanation:

We have 3/4 of a circle and the square.

The perimeter is equal to the sum of a 3/4 of a circumference of a circle and two sides of a square.

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

r - radius

We have r = 2 ft. Substitute:

[tex]C=2\pi(2)=4\pi\ ft[/tex]

3/4 of a circumference:

[tex]\dfrac{3}{4}\cdot4\pi=3\pi\ ft[/tex]

The length of a side of a square is a = 2ft.

Calculate the perimeter:

[tex]P=3\pi+(2)(2)=(3\pi+4)\ ft[/tex]

Found this on a website! Hope this is helpful!

Answer:

The area of a circular wrestling region with a 42 fr diameter is

A≈1385.44ft²

Answer:

The correct answer option is P(Both Work) =  435 / 703

Step-by-step explanation:

We are given that in a box of total 38 bulbs, 8 are the defective ones while the rest are good.

If Ken selects two bulbs at random from the box, we are to find the probability that they both work.

1st bulb: P (bulb works) =  [tex]\frac{30}{38} [/tex]

2nd bulb: P (bulb works) = [tex]\frac{29}{37} [/tex]

P (Both Work) = [tex]\frac{30}{38} \times \frac{29}{37}[/tex] = 435 / 703

Answer:

The correct answer is first option.   P(Both Work) =  435/703

Step-by-step explanation:

It is given that,

There are 8 burned bulbs and 30 good bulbs.

Therefore total number of bulbs = 8 + 30 = 38

To find the probability

We have to take two working bulbs from total bulbs.

Total bulbs = 38

The probability of taking two working bulbs = P(Both Work)

P(Both Work) = 30C₂/38C₂

  = (30 * 29)/(38 * 37) = 435/703

Therefore the correct answer is first option

Answer:

Step-by-step explanation:

You’re answer is 1/12

Answer:

1/12

Step-by-step explanation:

Answer: option b.

Step-by-step explanation:

You must keep on mind the following identities:

[tex]csc\theta=\frac{1}{sin\theta}\\\\cot\theta=\frac{1}{tan\theta}[/tex]

[tex]tan\theta=\frac{sin\theta}{cos\theta}[/tex]

Therefore, you can simplify the expression given in the problem as you can see below:

- Substitute identities:

[tex]\frac{csc\theta}{cot\theta}=\frac{\frac{1}{sin\theta}}{\frac{1}{tan\theta}}\\\\=\frac{tan\theta}{sin\theta}\\\\=\frac{\frac{sin\theta}{cos\theta}}{sin\theta}\\\\=\frac{sin\theta}{(cos\theta)(sin\theta)}\\\\=\frac{1}{cos\theta}[/tex]

By definition:

[tex]\frac{1}{cos\theta}=sec\theta[/tex]

The correct answer is B, or sec theta.

Just got it right on edge 2020, hope this helps!! :)

Answer:

0.7325 to 5.6675 ug/dl

Step-by-step explanation:

The middle 90% will be 45% above the mean and 45% below the mean.  This means

0.5-0.45 = 0.05 and

0.5+0.45 = 0.95

We use a z table.  Look in the cells; find the values as close to 0.05 and 0.95 as we can get.

For 0.05, we have 0.0505 and 0.0495; since these are equidistant from 0.05, we use the value between them.  0.0505 is z=-1.64 and 0.0495 is z=1.65; this gives us z=-1.645.

For 0.95, we have 0.9495 and 0.9505; since these are equidistant from 0.95, we use the value between them.  0.9495 is z = 1.64 and 0.9505 is z=1.65; this gives us z = 1.645.

Now we use our z score formula,

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

Our two z scores are 1.645 and -1.645; our mean, μ, is 3.2; and our standard deviation, σ, is 1.5:

[tex]1.645=\frac{X-3.2}{1.5}[/tex]

Multiply both sides by 1.5:

[tex]1.5(1.645)=\frac{X-3.2}{1.5}\times 1.5\\\\2.4675 = X-3.2[/tex]

Add 3.2 to each side:

2.4675+3.2 = X-3.2+3.2

5.6675 = X

[tex]-1.645=\frac{X-3.2}{1.5}[/tex]

Multiply both sides by 1.5:

[tex]1.5(-1.645)=\frac{X-3.2}{1.5}\times 1.5\\\\-2.4675=X-3.2[/tex]

Add 3.2 to each side:

-2.4675+3.2 = X-3.2+3.2

0.7325 = X

Our range is from 0.7325 to 5.6675.

Final answer:

The range of arsenic blood concentrations corresponding to the middle 90% of healthy adults is approximately 0.765 ug/dl to 4.035 ug/dl.

Explanation:

The middle 90% of a Normally distributed data set falls within approximately two standard deviations of the mean. In this case, the mean is 3.2 ug/dl and the standard deviation is 1.5. To find the range of arsenic blood concentrations corresponding to the middle 90% of healthy adults, we can calculate the upper and lower boundaries.

First, we need to find the Z-scores that correspond to the 5th and 95th percentiles. The Z-score formula is:

Z = (x - mu) / sigma

Applying the formula, we get:

Z_lower = (x_lower - 3.2) / 1.5 = -1.53

Z_upper = (x_upper - 3.2) / 1.5 = 1.53

Next, we need to find the corresponding x values. Rearranging the Z-score formula, we can solve for x:

x = Z * sigma + mu

Plugging in the Z scores, we have:

x_lower = -1.53 * 1.5 + 3.2 = 0.765

x_upper = 1.53 * 1.5 + 3.2 = 4.035

Therefore, the range of arsenic blood concentrations corresponding to the middle 90% of healthy adults is approximately 0.765 ug/dl to 4.035 ug/dl.

➷ 45 minutes is 3/4 of the total time

A simple way to do this is to find 1/4 of the time

To do this, divide by 3:

45/3 = 15

15 minutes is 1/4 of the time

To find the whole time, multiply this value by 4:

15 x 4 = 60

Subtract the time already passed from this:

60 - 45 = 15

It will take her 15 more minutes to finish building her wall.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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