If you know the answer your a genius at math^

Answer:

The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 31 - 1 = 30

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.457

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.457\frac{2.9}{\sqrt{31}} = 1.3[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 27.5 - 1.3 = 26.2 years

The upper end of the interval is the sample mean added to M. So it is 27.5 + 1.3 = 28.8 years

The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.

Answer:

here you go

Step-by-step explanation:

"Correlation is not causation" means that just because two things correlate does not necessarily mean that one causes the other. ... Correlations between two things can be caused by a third factor that affects both of them. This sneaky, hidden third wheel is called a confounder

Why does correlation not equal causation example?

It does not tell us why and how behind the relationship but it just says the relationship exists. Example: Correlation between Ice cream sales and sunglasses sold. As the sales of ice creams is increasing so do the sales of sunglasses. Causation takes a step further than correlation.

Answer:

i think its 28.27

Step-by-step explanation:

Step-by-step explanation:

[tex]v \: = \: pi \: \times \: r {}^{2} \: \times h[/tex]

Volume = 3.14×2.25×4 = 28.26 yd³

Answer:

It is 4/11

Step-by-step explanation:

Let x = 0.363636363636

Now as there are two digits repeating immediately after decimal point, we multiply above by 100 and get

100x = 36.363636363636

Now subtracting first equation from second we get

99x = 36

and hence

x = 36/ 99

= (9 × 4) / (9 × 11)

which then equals

= 4/11

Answer:

It is 4/11

Step-by-step explanation:

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1

mˆDG=151∘∘

An arc’s length means the same commonsense thing length always means — you know, like the length of a piece of string

The measure of angle ∠DHG of the circle is = 151°

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of angle ∠DG of the circle be A

Now , the value of A is

Let the measure of m∠DHG = ( 11x - 36 )°

The measure of m∠GHF = ( x + 12 )°

And , the angles m∠DHG = m∠EHF ( vertically opposite angles )

And , the angles m∠GHF = ∠DHE ( vertically opposite angles )

So , 2 ( ( 11x - 36 )° + ( x + 12 )° ) = 360°  ( total angle of a circle = 360° )

On simplifying , we get

2 ( 12x - 24 ) = 360

Divide by 2 on both sides , we get

12x - 24 = 180

Adding 24 on both sides , we get

12x = 204

Divide by 12 on both sides , we get

x = 17

Now , the measure of m∠DHG = ( 11x - 36 ) = 151°

Hence , the measure of m∠DHG  of circle is 151°

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Answer:

56/143 ([tex]\frac{56}{143}[/tex])

Answer:56/143

Step-by-step explanation:

Answer:

-9/4

Step-by-step explanation:

First you need to change the equation to slope-intercept form (y=mx+b). To start, you need to get y alone, so subtract 9x on both sides to give you 4y=-9x+7. Next, divide 4 from both sides giving you y=-9/4x +7/4. The slope is the coefficient of x.

Answer:

2 b + 9 m + 6 x + 10

Step-by-step explanation:

2 b + 4 + 6 x + 6 +9 m

2 b + 6 x + 10 + 9m

2 b + 6 x + 9 m + 10

= 2 b + 9 m + 6 x + 10

Answer:

Answer:

[tex] \frac{5}{8} \times \frac{5}{9} \\ = \frac{5 \times 5}{8 \times 9} \\ = \frac{25}{72} \\ = 0.3472[/tex]

Answer:

25 / 72

Step-by-step explanation:

5/8 x 5/9 =

5 x 5 / 8 x 9 =

25/72

Answer:

7.8333

Step-by-step explanation:

Answer:

8 kilometers

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

Step-by-step explanation:

The legs of the triangle have lengths 9 and 12.  The Pythagorean Theorem says [tex](\text{hypotenuse})^2=(\text{leg})^2+(\text{leg})^2[/tex].

[tex]x^2=9^2+12^2=81+144=225\\x=\sqrt{225}=15[/tex]

Yes, these values make a Pythagorean Triple (3 integers that fit the Pythagorean Theorem)

There are infinitely many of these triples:  3,4,5   5,12,13 are examples.  The triple in this problem is 3 times the 3,4,5 triple.

x= 15

No

H²= O²+A²

x²= 9²+12²

x²= 81+144

x²= 225

x= √225

x= 15

Answer and Step-by-step explanation:

To solve this, we have to find x.

To find x, we have to use the Pythagorean theorem.

The Pythagorean theorem is:

[tex]A^2 + B^2 = C^2[/tex]

Where A is a side, B is a side, and C is the hypotenuse.

Plug in the values accordingly.

[tex]6^2 + 8^2 = x^2\\\\\\\\36 + 64 = x^2\\\\\\\\\\100 = x^2\\\\\\\\10 = x[/tex]

The answer is 10 = x.

#teamtrees #PAW (Plant And Water)

Answer:

D. undefined

General Formulas and Concepts:

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Trig Derivative:                                                                                                       [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]

Derivatives of Parametrics:                                                                                   [tex]\displaystyle \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{dx}{dt} = 5[/tex]

[tex]\displaystyle \frac{dy}{dt} = sin(t^2)[/tex]

Step 2: Differentiate

Anything divided by 0 is undefined.

Topic: AP Calculus BC (Calculus I/II)

Unit: Differentiation with Parametrics

Book: College Calculus 10e

Answer: what's up?

Step-by-step explanation:

Answer:

Is C.$24 I use the I=Prt

Answer:

zy = 65

Step-by-step explanation:

a full circle is 360*

half of that is 180*

180 - 115 = 65

The TRUE statements about the study described above are :

• USE OF RANDOM SAMPLING

• USE OF A CONTROL GROUP

When selection from a population is performed such that all subjects in the population have equal chance of being selected, then we have a random process, the 30 selected athletes we're chosen without bias.

Also, when a certain group used in a research aren't subjected to the treatment process if the research, but are only used to compare the behavior of the TREATMENT group, then such group are called the CONTROL group. Hence, the 15 athletes who did not participate in any of the flexibility program are the control group.

The research doesn't exhibit any blinding or blocking procedure as it does not hide any information or contain an undesired variable.

Therefore, the TRUE statements are the study makes use of RANDOM SAMPLING AND A CONTROL GROUP.

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Answer:

This study uses random sampling.

Step-by-step explanation:

i got it wrong

9514 1404 393

Answer:

Step-by-step explanation:

These state exam questions are checking that you know certain things about linear equations and inequalities, and how to solve and graph them. It is also checking that you now the meanings of certain math terms and can translate those meanings to relationships between numbers.

__

1. The "slope-intercept form" of a linear equation is ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

Note that the left side is "y =", eliminating the last two answer choices.

The problem tells you the slope is m = 2, and the y-intercept is b = 5. Then the equation is ...

  y = 2x + 5 . . . . matches A

__

2. The picture is fuzzy, but we think it says y ≥ 1. The little bar in the comparison symbol means "or equal to", so you're looking for a graph that shows numbers greater than or equal to 1. The "or equal to" means the end dot on the graph will not be an open circle, but will be a solid dot. The "greater than" means the shaded part of the line is to the right of that dot.

  graph C is the appropriate representation

__

3. The picture is fuzzy, but we think it says 126 < -7x. For this sort of inequality, you are expected to know that multiplying or dividing by a negative number will reverse the inequality symbol.

  126 < -7x . . . . given

  126/-7 > x . . . . divide both sides by the coefficient of x, -7

  -18 > x . . . . . matches D

__

4. This is a vocabulary question. Angles are "complementary" when their sum is 90°. The sums of the given angle pairs are ...

  A: 90° . . . . the correct answer choice

  B: 100°

  C: 180°

  D: 185°

Angle A = 54 degree

Angle B = 72 degree

Angle C = 54 degree

It is a triangle, so the total of angle is 180 degree

Find X

8x + 6x + 6x = 180

20x = 180

x = 180/20

x = 9°

Value of x is 9°

Substitute a score of x for every angle =

Angle A

= 6x

= 6(9)

= 54°

Angle B

= 8x

= 8(9)

= 72°

Angle C

= 6x

= 6(9)

= 54°

#LearnWithBrainly

Answer:

26

Step-by-step explanation:

Answer:

y=(2/9)x-(4/3)

Step-by-step explanation:

12y=(8x-48)/3

multiply by 3 on both sides

36y=8x-48

divide by 36 on both sides

y=(8/36)x-(48/36)

simplify fractions

y=(2/9)x-(4/3)

Answer: Approximately 14.647147438893 meters

Round this value however you need.

===============================================================

Explanation:

Refer to the diagram below. The blue horizontal line is the water surface, and just below that are points A and B to represent diver 1 and diver 2 respectively. Point C is the shark's location. The diagram is not to scale. The assumption is that the two divers are at the same depth in the water.

Angle A (also known as angle BAC or CAB) is the angle formed at diver 1's location, which is the 47 degree angle mentioned earlier. Angle B is 40 degrees. This must mean angle C is 180-A-B = 180-47-40 = 93 degrees. Note how A+B+C = 47+40+93 = 180.

The goal is to find the distance from diver 2 to the shark. So we want the distance from point B to point C. In other words, we want the length of segment BC. Since this segment is opposite angle A, we'll refer to this side as lowercase 'a'. The lowercase letters represent side lengths and they are conventionally opposite the uppercase letter angles. So side b is opposite angle B, and side c is opposite angle C.

Here's what we have so far:

We can apply the law of sines to find side 'a'.

a/sin(A) = c/sin(C)

a/sin(47) = 20/sin(93)

a = sin(47)*( 20/sin(93) )

a = 14.647147438893

Make sure your calculator is in degree mode.

The distance from diver 2 to the shark is approximately 14.647147438893 meters. Round this value however you need.

Answer:

https://www.learncbse.in/ncert-solutions-for-class-7-maths/

Answer:

tons          pounds

7           14,000

8            16,000

so 8 tons

Step-by-step explanation:

Answer:

8 tons is larger than 14,000 pounds.

Step-by-step explanation:

Here is my explanation:

One ton (same thing as a short ton) is equivalent to 2,000 pounds.

So 8 tons is basically just 2,000 * 8 which is equal to 16,000.

Hope this helps!