A triangle has vertices T(-2,4), E(6,2), and D(1,-1). Is ATED a right triangle?
No, this is not a right triangle.
Yes, because ED is perpendicular to DT which makes a right angle.
Yes, because TE is perpendicular to DT which makes a right angle.
Yes, because TE is perpendicular to ED which makes a right angle.

Answer:

3

one

will represent

the student

Answer:

a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.

The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

Question b:

90% confidence interval means that [tex]Z = 1.645[/tex]

The margin of error is:

[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]

43.78 - 1.701 = 41.079%

43.78 + 1.701 = 45.481%

The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Answer:

120 students are predicted to like chocolate chip ice cream best.

Step-by-step explanation:

40% = 0.4

Multiply 300 by 0.4 to get 40% of 300.

300 × 0.4 = 120

Answer:

u= -210

Step-by-step explanation:

Hope this is helpful(please make me the brainliest!)

Answer:

x = 4

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

Answer:It would be the first class

Step-by-step explanation:

Because you are paying $70 per month and get a the class you want. and also i had the sames question also

just because the second class has smaller fees it also says that  you have to pay more for every class.

Answer:

6

Step-by-step explanation:

Answer:

74.13

6×10=60

A=pi r^2

3.14×3^2=28.26

28.26/2 =14.13 (because it is half a circle)

14.13+60=74.13

not sure if that is correct but that is what i got

Answer:

(x-6)(x+6)

Step-by-step explanation:

Answer: y = 89

Step-by-step explanation:

[tex]x=\frac{y-z}{2} \\\\31=\frac{y-27}{2}\\\\62=y-27\\\\89=y[/tex]

Answer:

Kylie drank more water than Valentina

Step-by-step explanation:

I know that Kylie drank more water than Valentina.

I know this because I took 3 pints and found how many fluid ounces that would equal. 1 pint is equivalent to 16 fluid ounces. So, three pints would be equal to 48 fluid ounces. 16x3=48

Valentina drank 24 fluid ounces.

48 is greater than 24, so Kylie drank more water than Valentina.

Answer:

Nathan is 36.3910059 ft from the base of the lighthouse.

Step-by-step explanation:

So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj

The opposite is 112, and we have to find the adjacent.

tan(72) = 112/adj

3.07768354 = 112/adj

adj = 112/3.07768354

adj = 36.3910059

so first you wanna break down the 85 minutes so 1 hour is 60 minues now its 7:45 but we still have 25 minutes left sow now we add the minutes it will be 8:05

8:05 is the answer

Answer:

Step-by-step explanation:

Answer:

the First One By Adding Four

The Second One Add Five And Two

The Third Add Two And Substract Four

Answer:

Gddghdhdhdhy heifer here early enough h her y

Answer:

Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.

Answer:

Step-by-step explanation:

Hello!

This is a question relating trigonometric ratios and a missing angle.

Here, since we are given all three sides of the triangle, we can use any of the three trigonometric ratios, sine, cosine, or tangent to solve this problem.

I'll be using the sine ratio for this problem.

The sine of an angle is the ratio between the triangle's opposite side and its hypotenuse.

Meaning the following equation could be set up.

[tex]sin(\theta)=\frac{45}{75}[/tex]

Now, we can just solve for theta.

[tex]\theta=sin^{-1}(\frac{45}{75})[/tex]

Make sure you're in degrees when you're solving this problem.

[tex]\theta=36.870[/tex]

Hope this helps!

Answer:

{a,b,c,d,f,3,4,5,7}

Step-by-step explanation:

If X={a,b,c,3,4,5}

Y={b,d,f,3,5,7}

THEREFORE {XUY}= {a,b,c,d,f,3,4,5,7}

XUY represents the union of sets X and Yas {a, b, c, d, f, 3, 4, 5, 7}.

A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.

The sets are given in the question, as follows:

X = {a,b,c,3,4,5}

Y = {b,d,f,3,5,7}

We have to determine the members of the set XUY, using set braces.

As per the question, the required solution would be as:

XUY = {a, b, c, d, f, 3, 4, 5, 7}

XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.

Learn more about set theory here:

brainly.com/question/23454979

#SPJ2

Answer: 6625 sqaure yards

Step-by-step explanation:

Area for a trapezoid formula is A=(base 1 + base 2)·height÷2

So base one is 120 and base two is 10+120+15=145

and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625

Answer:

C. 27

Step-by-step explanation:

If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the sane with the cats

9*3=27 therefore the answer is 27.

Answer:

C. 27

Step-by-step explanation:

If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the same with the cats

9*3=27 therefore the answer is 27.

Answer:

this is easy. all you have to do is subtract 102 from 86 (which makes -16) and then divide by -8 (making m equal to 2).

Step-by-step explanation:

102 - 8m = 86

86 - 102 = -16

-16/-8 = 2

Answer:

Its 2 bby :)

Step-by-step explanation:

When a number (in this case it's a variable) is put next to another number we are multiplying. So 8×2=16 Lets test it out. 102-16=86

Answer:

$2750 worth of simple interest

Step-by-step explanation:

The equation for simple interest is to multiply the amount by the time by the rate:

22000 * 5 * 0.025 = 2750

Answer:

the expresion its equal at the d9feremce between you and the excercise so its 7

Answer:

7.7 and 7.3 are the parameters

8.3 and 5.7 are statistics

Step-by-step explanation:

In the given question,

7.7 and 7.3 represents the mean and standard deviation for all of the used cars for sale.

So,

It represents the population mean and standard deviation

So,

7.7 and 7.3 are the parameters .

Now,

8.3 and 5.7 is mean and standard deviation for sample , not for population.

∴ 8.3 and 5.7 are statistics.