Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used.

Find the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40.

Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places.

Answer:

C = 101

Step-by-step explanation:

A triangle has 180 degrees, so just minus 28 and 51 by that and you get 101... it's pretty simple

Answer:

Answer:

124.84

Step-by-step explanation:

A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )

≈ 124.84313

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

f(x)=3x^2-6x-45/x^2-5x

= 3x^2-6x-45 / (x(x - 5))

The denominator is zero when x - 0 and x = 5.

So there will be a vertical asymptote  at x = 0 and a hole at x = 5.

If we do the division  we get f(x)  = 3  remainder 9x - 45

so there will also be a horizontal asymptote where x = 3.

Answer:

Hole at (3, 4.8)

Asymptotes at x = 0 and y = 3

Step-by-step explanation:

[tex]f(x)=\dfrac{3x^2-6x-45}{x^2-5x}[/tex]

Factor the numerator:

[tex]\implies 3x^2-6x-45[/tex]

[tex]\implies 3(x^2-2x-15)[/tex]

[tex]\implies 3(x^2+3x-5x-15)[/tex]

[tex]\implies 3(x(x+3)-5(x+3))[/tex]

[tex]\implies 3(x-5)(x+3)[/tex]

Factor the denominator:

[tex]\implies x^2-5x[/tex]

[tex]\implies x(x-5)[/tex]

Factored form of function:

[tex]\implies f(x)=\dfrac{3(x-5)(x+3)}{x(x-5)}[/tex]

Discontinuity: a point at which the function is not continuous.

Holes

After factoring the rational function, if there is a common factor in both the numerator and denominator, there will be a hole at that point (x-value):

[tex]\implies (x-5)=0 \implies x=5[/tex]

Factor out the common factor from the function and input the found value of x into the new function to find the y-value of the hole:

[tex]\implies f(x)=\dfrac{3(x+3)}{x}[/tex]

[tex]\implies f(5)=\dfrac{3(5+3)}{5}=4.8[/tex]

Therefore, there is a hole at (5, 4.8)

Asymptotes

To find the vertical asymptotes, set the denominator of the new (factored) function to zero and solve:

⇒ Vertical Asymptote at x = 0

As the degrees of the leading terms of the numerator and denominator are equal (both x²), the horizontal asymptote is equal to the ratio of the leading coefficients.

⇒ Horizontal Asymptote at y = 3

Answer:

1/3

Step-by-step explanation:

When two lines are perpendicular, it means the lines intersect at a right angle and have opposite reciprocal slopes.The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.

To figure out d we need to use the formula:

- 1 / m

Plug in:

- 1 / - 1/3

Solve:

1/3

[tex]~~~~~~m_c \times m_d = -1\\\\\implies -\dfrac 13 \times m_d=-1\\\\\implies m_d = 3\\\\\text{The slope of line d is 3.}[/tex]

The distance will remain constant. Then the time taken by Adam with an average speed of 60 miles per hour is 9 hours.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

[tex]\rm Speed = \dfrac{Distance}{Time}\\\\\\[/tex]

The formula can be written as

Distance = Speed × Time

The time it takes Adam to drive to Disney World varies inversely with his average rate of speed.

If it takes Adam 10.8 hours at an average speed of 50 miles per hour.

If the average speed is 60 miles per hour, then the time taken will be

The distance will remain constant.

S₂ × T₂ = S₁ × T₁

60 × T₂ = 50 × 10.8

        T₂ = 9 Hours

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The value of the 16 divided by one-eighth is 48 after simplification of the fraction.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.

We have:

16 divided by one-eighth.

Here the option is not given, but we can solve the above expression.

= 16 ÷ (1/8)

= 16×8  (after simplification)

= 48

Thus, the value of the 16 divided by one-eighth is 48 after simplification of the fraction.

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Answer:

dy = -3

dx

equation of normal=

y=1/3x+1

Step-by-step explanation:

dy/dx=10x-3

=10(0)-3

= -3

equation of normal:

grad=1/3

y-1 =1/3

x-0

3y-3=x

y= 1/3x+1

[tex]\underline{\textbf{First part:}} \\\\\text{Given that,}\\\\~~~~~~y= 5x^2-3x+6\\\\\\\implies \dfrac{dy}{dx} = \dfrac{dy}{dx} (5x^2 -3x +6)\\ \\\\~~~~~~~~~~~=5\dfrac{d}{dx} x^2-3\dfrac{d}{dx} x + \dfrac{d}{dx} (6)\\\\\\~~~~~~~~~~~=5\cdot 2x-3+0\\\\\\~~~~~~~~~~~=10x-3\\\\\text{At (0,1)}\\\\\dfrac{dy}{dx} = 10(0) -3 \\\\~~~~~=0-3\\\\~~~~~=-3[/tex]

[tex]\underline{\textbf{Second part:}}\\\\[/tex]

[tex]\text{Equation of normal,}\\\\~~~~~~y-y_1 = -\dfrac{1}{\tfrac{dy}{dx}} (x-x_1)\\\\\\\implies y - 1 = -\dfrac 1{-3 }(x-0)\\\\\\\implies y-1 = \dfrac 13 x\\\\\\\implies y= \dfrac 13 x +1[/tex]

Answer:

V=20.17

Step-by-step explanation:

V=πr²h

=π1.3²×3.8

=20.17

Answer:

B. 1

Step-by-step explanation:

imagining where 10 would be on the graph you can see that the line will cross with 1 missed shot

Answer:

I think the total is 628.20$

Step-by-step explanation:

15*12=180

180*2.99=538.2

180*.5=90

90+538.2=628.2

Hope this helped :)

Answer:

I think c sorry if wrong

Step-by-step explanation:

have a good day

Answer:

do you got an answer key

Step-by-step explanation:

Answer:

y=3x+8

Step-by-step explanation:

Formula is L(x)=f(a)+f(a)(x-a)

This is for linearization

Answer:

$1.51 is in the account after 10 years.

Step-by-step explanation:

Step 1: Identify the Type of Problem

We can see that this is a compound interest problem due to the phrase "earns 1.15% interested compounded" in the problem.

The formula for compound interest is as follows:

[tex]A=P(1+\frac{r}{n})^{n*t}[/tex] where:

Step 2: Identify what we Know

Now that we have the formula we'll be working with, let's see what we know. From the problem, we can see:

Step 3: "Plug and Chug"

Now, all we have to do is substitute the above values into our formula. Doing so, we get:

[tex]A=1.35*(1+\frac{0.0115}{2})^{2*10} \\= \bf \$1.51[/tex]

(Note: Since the answer is an amount of money, I have rounded to the hundreths place.)

Hope this helps!

To learn more about compound interest, check out the following question:

Answer:

Side length of square (inches): 1 ,2, 4, 7

Perimeter of square (inches). : 4, 8, 16, 28

Step-by-step explanation:

Ratio is 1:4 (S:P).

So:

#:8, #=2. This is because 2/8 and 1/4 both = 0.25.

#:16, #=4. 4/16=0.25

7:#, #=28. 4x7=28, 7/28=0.25

Hope that helps

Answer:

= 15km/hour

Step-by-step explanation:

Distance = 225km
Time = 15 hours

We will divide distance over time and then we will get the average speed so the average speed will be = 15 km\hour.

Answer:

Below in bold.

Step-by-step explanation:

Speed = distance / time

= 225/15

= 15 km/hour.

Answer:

on the hypotenuse

Step-by-step explanation:

Circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle.

Answer:

C. 32%

Step-by-step explanation:

The percent 17 is of 25.

17 of 25 can be written as:

17/25

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

17/25 * 100/100

= (17 * 100/25) * 1/100 = 68/100

Therefore, the answer is 68%

If Sara made 68% of her free shows, that means she didn't make 32% of her free throws (100 - 68 = 32).

Answer:

3(x+4)=36

You would multiply 3 times x and 4

3x+12=36

Subtract 12 from both sides

3x=24

x=8

Step-by-step explanation:

       [tex]\rule{289}{2}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

          how to solve [tex]\textsc{3(x+4)=36}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

First of all, multiply the number before the parentheses by the expression inside the parentheses:-

[tex]\bigstar\sc{3\times x\times4}[/tex]

Which equals

[tex]\bigstar\textsc{3x+12}[/tex]

So the equation is:-

[tex]\square[/tex] [tex]\textsc{3x+12=36}[/tex]              Subtract 12 on both sides:-

[tex]\textit{3x=24}[/tex]                     Next, divide by 3 on both sides:-

[tex]\textit{x=8}\Huge\checkmark[/tex]

[tex]\smile\rule{300}{2}\smile[/tex]

The sides of the shaded triangle do not form a Pythagorean triple, therefore, it is not a right triangle.

A triangle is a right triangle if the square of its longest side equals the sum of the square of the other two smaller sides, based on the Pythagorean Theorem.

Using the Pythagorean Theorem, find the lengths of the legs of the shaded triangle, and find out the sum of their squares equals the length of the longest side.

First leg of the shaded triangle = √(8² + 6²) = 10

Second leg of the shaded triangle = √(8² + 9²) = 12

The third side (longest side) of the shaded triangle is 9 + 6 = 15.

15² = 10² + 12²

225 = 244 (not true)

Therefore, the shaded triangle is not a right triangle.

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Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.

A central tendency is a central or typical value for a probability distribution. Colloquially, measures of central tendency are often called averages. The term central tendency dates from the late 1920s. The most common measures of central tendency are the arithmetic mean, the median, and the mode.

Here, Given data

   x                             f                     xf

  5                             1                       5

  6                             4                      24

  7                             3                       21

  8                             2                       16

  10                           2                        20

  13                            2                        26

   14                           1                         14

Mean = ∑xf/∑f

         = 126/15    

         = 8.4

Median = 7

Mode = 6

Thus, Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.

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Answer:

DD

Step-by-step explanation:

If you distribute the 2 you get 12.2x + 14 so D

Answer:

cot(t) = 56/33

Step-by-step explanation:

cot(t) = 56/33, because cot = adj/opp simple as that..

Answer:

It is vertically stretched by a factor of 200 and shifted 10 units up.

Step-by-step explanation:

cool like that

It is vertically stretched by a factor of 200 and shifted 10 units up.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

You write functions with the function name followed by the dependent variable.

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It should be greater not lesser

Answer:B.

Step-by-step explanation:

B.a translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin

Answer:

[tex]\cos(\theta - x)=\dfrac{33}{65}[/tex]

Step-by-step explanation:

Given:

[tex]\sin\theta=\dfrac{4}{5}\implies \cos \theta=\dfrac{3}{5}[/tex]

[tex]\cos x=-\dfrac{5}{13}\implies \sin x=\dfrac{12}{13}[/tex]

Using the trig identity:

[tex]\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B[/tex]

[tex]\begin{aligned}\implies \cos(\theta - x) &=\cos \theta \cos x + \sin \theta \sin x\\\\&=\dfrac{3}{5} \cdot -\dfrac{5}{13} + \dfrac{4}{5} \cdot \dfrac{12}{13}\\\\&=-\dfrac{15}{65} + \dfrac{48}{65}\\\\&=\dfrac{33}{65}\end{aligned}[/tex]

sinø=4/5

so

And

cosx=-5/13

so

cos(ø-x)

Answer: 'X' = 24 degrees

Step-by-step explanation:

5 times 'X' = 120 degrees (because the formula is base times height divided by 2).

120 divided by 5 = 'X'

                            = 24

'X' = 24 degrees