Answer:
18,000 Cubic meters
Step-by-step explanation:
Since volume is lwh and the area of the ground is lw and it gives you the height, You just multiply The area of the ground, 2,000 m, and the height, 9, to find the volume. 9 x 2,000= 18,000.
Find the first , fourth , and eighth terms of the sequence A(n) = -3 •2 ^x - 1
Answer:
A(1) = -7
A(4) = -48
A(8) = -769
Step-by-step explanation:
[tex]A(n) = -3.2 ^n - 1.....(1)\\\\Plug \: n= 1\: in \: (1)\\A(1) = -3.2 ^1 - 1 =-3.2-1= -6 -1 \\\huge\red{\boxed{A(1) = -7}}\\\\Plug \: n= 4\: in \: (1)\\A(4) = -3.2 ^4 - 1 =-3.16-1= -48 -1 \\\huge\purple{\boxed{A(4) = -49}}\\\\Plug \: n= 8\: in \: (1)\\A(8) = -3.2 ^8 - 1 =-3.256-1= -768 -1 \\\huge\orange{\boxed{A(8) = -769}}[/tex]
What is the solution to |10x|greater than -2
Answer:
The solution is: [tex](-\infty, \infty)[/tex], that is, all real values of x.
Step-by-step explanation:
The modulus of a value x(|x|) is the distance of x to the origin.
A distance is a positive measure, or zero, so |x| is never a negative value.
In this problem:
|10x| > -2
Remembering that the modulus is never negative, which means that for every value of x in the real set, |10x| > -2.
So the solution is: [tex](-\infty, \infty)[/tex], that is, all real values of x.
factor completely x^3-8x^2-2x+16=
Answer:
(x-8)(x^2-2)
Step-by-step explanation:
take x common from the first 2 terms and take -2 common from the last two terms. Then, take (x-8) common.
x^2(x-8)-2(x-8) = (x-8)(x^2-2)
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
p ≥ -14
Step-by-step explanation:
Subtract 4 from both sides:
p + 4 ≥ -10
- 4 - 4
________
p ≥ -14
10. Sally wants to buy a bicycle that costs $285. The bicycle is on sale for 15% off. How much
will she buy the bicycle for?
$285×15/100
= $42.75 and this is the discount
$285-42.75 = $242.25
Sally will buy the bicycle at $ 242.25
Estimating π. Using random numbers can accomplish many tasks. For example, it is possible to estimate π using Monte Carlo methods. To get an estimate, you place random points in the square [0, 1] × [0, 1] and estimate π/4 as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4). Here is what a few test runs and the corresponding estimates for π might look like with the number of points equal to 100, 1000, and 10,000 respectively?
Answer:
Estimations of π/4:
100 points: 0.75
1,000 points: 0.768
10,000 points: 0.7819
Step-by-step explanation:
To get an estimate of π/4 you can place random points in the square [0, 1] × [0, 1] and estimate it as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4).
We do it for 100 xy points and we get:
Point inside the circle area = 75
Estimation of π/4 = 0.75
[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{75}{100}=0.75[/tex]
We do it for 1,000 xy points and we get:
Point inside the circle area = 768
Estimation of π/4 = 0.768
[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{768}{1000}=0.768[/tex]
If we do it fo 10,000 xy points, we get
Point inside the circle area = 768
Estimation of π/4 = 0.768
[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{7819}{10000}=0.7819[/tex]
The value of π/4 (4 decimals) is 0.7854.
The simulation gets more precise with the increase in the number of points.
The spreadsheet and the graphs are attached.
Let f(x) = V6x and g(x) = x + 4. What's
the smallest number that is in the domain of
Enter the correct answer.
A circle is inscribed with quadrilateral A B C D.
Let the measure of Arc B C D = a°. Because Arc B C D and Arc B A D form a circle, and a circle measures 360°, the measure of Arc B A D is 360 – a°. Because of the ________ theorem, m∠A = StartFraction a Over 2 EndFraction degrees and m∠C = StartFraction 360 minus a Over 2 EndFraction degrees. The sum of the measures of angles A and C is (StartFraction a Over 2 EndFraction) + StartFraction 360 minus a Over 2 EndFraction degrees, which is equal to StartFraction 360 degrees Over 2 EndFraction, or 180°. Therefore, angles A and C are supplementary because their measures add up to 180°. Angles B and D are supplementary because the sum of the measures of the angles in a quadrilateral is 360°. m∠A + m∠C + m∠B + m∠D = 360°, and using substitution, 180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°.
What is the missing information in the paragraph proof?
inscribed angle
polygon interior angle sum
quadrilateral angle sum
angle bisector
Answer:
A. Inscribed Angle Theorem
Step-by-step explanation:
Because the angles are inscribed in the circle, the angle lie on arcs which mean that the angles have to add up to 360 degrees just like a circle is 360 degrees, making it a quadrilateral that is inscribed!
Hope this helps actually explain the answer,
Matthew Keister aka Mattsawesome 5000 YT
The missing information in the paragraph proof is inscribed angle theorem that if an angle is inscribed in a circle, the measure of the inscribed angle is half the measure of the intercepted arc.
What is inscribed angle ?Inscribed angle in a circle is formed by two chords that have a common end point on the circle. This common end point is the vertex of the angle.
We have,
Quadrilateral [tex]A B C D[/tex] inscribed in Circle.
Measure of Arc [tex]B C D = a^0[/tex].
Arc [tex]B C D[/tex] and Arc [tex]B A D[/tex] form a circle, and a circle measures [tex]360^0[/tex],
Measure of Arc [tex]B A D = 360 - a^0[/tex]
Because of the theorem that if an angle is inscribed in a circle, the measure of the inscribed angle is half the measure of the intercepted arc.
Therefore,
[tex]\angle A = \frac{a}{2}^0[/tex] and
[tex]\angle C = (\frac{360-a}{2}) ^0[/tex]
The sum of the measures of angles [tex]A[/tex] and [tex]C[/tex] is,
[tex]\angle A + \angle C = \frac{a}{2}^0 +(\frac{360-a}{2}) ^0=180^0[/tex]
Therefore, angles [tex]A[/tex] and [tex]C[/tex] are supplementary because their measures add up to [tex]180^0[/tex].
Angles [tex]B[/tex] and [tex]D[/tex] are supplementary because the sum of the measures of the angles in a quadrilateral is[tex]360^0[/tex].
[tex]\angle A + \angle C + \angle B + \angle D = 360^0[/tex]
and using substitution,
[tex]180^0 + \angle B + \angle D = 360^0[/tex]
So,
[tex]\angle B + \angle D = 180^0[/tex]
So, from the above provided proof we can say that the missing information in the proof was inscribed angle theorem.
Hence, we can say that the missing information in the paragraph proof is inscribed angle theorem that if an angle is inscribed in a circle, the measure of the inscribed angle is half the measure of the intercepted arc.
To know more about inscribed angle click here
https://brainly.com/question/15899344
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Which equation
true for the three pairs of x- and y-values in the table?
2
1
2
2
CLEAR
сно
-2 + 2x = y
2-2x = y
2 + 2x = y
-2+x=y
Answer:
-2+2x=y
Step-by-step explanation:
got it correct on imagine math
3 - ( - 2a - 4 ) + 3a
Answer:
7 + 5a
Step-by-step explanation:
3-(- 2a -4)+3a = 3+2a +4 +3a = 7 + 5a
The graph is shown for the equation y=-x+4.
Which equation, when graphed with the given
equation, will form a system that has an infinite number
of solutions?
Answer:
Option C is correct
Step-by-step explanation:
The equation, when graphed with the given equation (y = -x + 4), will form a system that has an infinite number of solutions MUST have same form as given equation.
y = (-1/2)(2x - 8) = (-1/2)*2x + (-1/2)*8 = -x + 4 (same form as given equation)
Hope this helps!
:)
-6x-10=20
Show me the steps.
Answer:
-6x-10=20
Collect like terms
-6x=20+10
-6x=30
Divide both sides by -6
x=30/6
x=5
estimate 4.68×69.8÷4.98×72.8
Answer:
4,775.329156626506
Step-by-step explanation:
Help Marshmello i wasn't born yesterday.
Answer:
x = 2, y = 1
Step-by-step explanation:
2x+3y = 7
y = 6x -11
Substitute the second equation in for y in the first equation
2x +3( 6x - 11) = 7
Distribute
2x+18x - 33 = 7
Combine like terms
20x - 33 = 7
Add 33 to each side
20x -33+33= 7+33
20x = 40
Divide each side by 20
20x/20 = 40/20
x= 2
Now find y
y = 6x-11
y = 6*2-11
y = 12-11
y =1
Answer:
B (2,1)
Step-by-step explanation:
X = 2, y = 1
Solve the system of equations
c number answer is the correct answer
Line m passes through the points (3, 7) and (6, 12) while line n passes through the points (-5, 1) and (-2, 6). Which statement accurately describes the relationship between the two lines? A. Lines m and n have the same slope so they are parallel. B. Lines m and n have the same slope so they are perpendicular. C. Lines m and n have opposite reciprocal slopes so they are perpendicular. D. Lines m and n have opposite reciprocal slopes so they are parallel.
Hey there! I'm happy to help!
First, let's find the slope of the two lines. To find the slope, you divide the difference in the y-values by the difference in the x-values.
LINE M
7-12/3-6=-5/-3= 5/3
LINE N
1-6/-5+2=-5/-3=5/3
If lines have the same slopes, they are parallel because they are always moving at the same incline and therefore will never meet. This matches what answer A says.
Therefore, the correct answer is A) Lines m and n have the same slope so they are parallel.
I hope that this helps! Have a wonderful day!
find the measure of the smallest angle of the triangle whose sides have lengths 6,9, and 11
Answer:
The smallest angle of the triangle is 33.030°.
Step-by-step explanation:
The angles of triangle can be determined with the help of the Law of Cosine and the fact that sum of all angles equals to 180°:
[tex]\cos A = -\frac{6^{2}-9^{2}-11^{2}}{2\cdot (9)\cdot (11)}[/tex]
[tex]\cos A = 0.838[/tex]
[tex]A \approx 33.030^{\circ}[/tex]
[tex]\cos B = -\frac{9^{2}-6^{2}-11^{2}}{2\cdot (6)\cdot (11)}[/tex]
[tex]\cos B = 0.575[/tex]
[tex]B \approx 54.847^{\circ}[/tex]
[tex]C = 180^{\circ} - A - B[/tex]
[tex]C = 180^{\circ} - 33.030^{\circ} - 54.847^{\circ}[/tex]
[tex]C = 92.123^{\circ}[/tex]
The smallest angle of the triangle is 33.030°.
Barbara buys
3 boxes of eggs costing £1.20 each
1 jar of mayonnaise costing £1.80
2 loaves of bread
She pays with a £10 note and gets £1.60 change.
Barbara works out the cost of 1 loaf of bread as £1.40
Is she correct?
You must show your working.
Answer:
Actually, a loaf of bread costs 1.5. Barbara was wrong but only by 10 pence
Step-by-step explanation:
1 box of eggs = 1.2
3 boxes of eggs =3*1.2=3.6
1 jar of mayonnaise =1.8
2 loves of bread=2x
Total price of her purchases =10-1.6=8.4
Setting up the equation:
3.6+1.8+2x=8.4
Solving for x
2x=8.4-3.6-1.8
2x=3
x=3/2=1.5
The table shows the functions representing the height and the area of the base of a rectangular prism for different values of x.
The volume of the prism when x = 3 is 36. Which equation can be used to represent the volume of the prism, V(x)?
V(x) = (f ∙ g)(x)
V(x) = (g + f)(x)
V(x) = (f – g)(x)
V(x) = (g – f)(x)
Answer:
V(x) = (f ∙ g)(x)
Step-by-step explanation:
Note. There is no table attached.
However it can solved with remaining information given.
The volume of a prism is
V = bh, where b is the area of the base, and h is the heightIf we have a function for the volume V(x) it has to be equal to a product of functions for the area and the height
Therefore the function will be similar to:
V(x) = (f*g)(x) which is effectively V(x) = f(x)*g(x), where functions f and g represent the area and heightSo the correct option is the first one
A sector with an area of 26pie cm^2 has a radius of 6 cm. What is the central angle measure of the sector in radians?
Answer:
The central angle measure of the sector in radians is [tex]\theta=\frac{13}{9}[/tex].
Step-by-step explanation:
A sector of a circle is the portion of a circle enclosed by two radii and an arc. It resembles a "pizza" slice.
The area of a sector when the central angle is in radians is given by
[tex]A=(\frac{\theta}{2})\cdot r^2[/tex]
where
r = radius
θ = central angle in radians
We know that the area of the sector is [tex]26 \:cm^2[/tex] and the radius is 6 cm. Applying the above formula and solving for the central angle ([tex]\theta[/tex]) we get that
[tex]26=(\frac{\theta}{2})\cdot (6)^2\\\\\left(\frac{\theta}{2}\right)\left(6\right)^2=26\\\\\frac{\frac{\theta}{2}\cdot \:6^2}{36}=\frac{26}{36}\\\\\frac{\theta}{2}=\frac{13}{18}\\\\\theta=\frac{13}{9}[/tex]
Please add this up and respond with the correct answer for the attachment down below.
Answer:
976
Step-by-step explanation:
this is literally the exact same question
4.
Which situation best represents the following equation?
30 + 4x = 70 + 2x
There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $2 per person. Limo B charges $70 plus $4 per person. How many people can ride to make the two companies charge the same amount?
There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $70 per person. Limo B charges $4 plus $2 per person. How many people can ride to make the two companies charge the same amount?
There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $4 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?
There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?
Answer:
There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $4 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?
Step-by-step explanation:
The correct situation is the third one, this is because the expression we have is:
[tex]30+4x=70+2x[/tex]
let's take the left side as the charge of the company limo A, and the left side as the charge of limo B.
Since 'x' is the number of people, the left side tells us that limo A charges $4 per person (hence the 4x) and adds an additional $30 (hence the 30 added on the left side).
And the right side tells us that limo B charges $2 per person (hence the 2x) and adds an additional $70 (hence the 70 added on the right side).
And since we have an equal sign this means that the expression represents the number of people that can ride and will pay an equal amount in each company.
This is the situation that the third option describes:
There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $4 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?
Use the formula d = rt. Find t for r = 49.5 m/h and d = 504.9 m. 24,993 h 10.2 h 0.1 h 455.4 h
Answer:
[tex] t = \frac{504.9m}{49.5 m/h}= 10.2[/tex]
And the best option would be:
10.2 h
Step-by-step explanation:
We have the following formula for the distance:
[tex] d = rt[/tex]
And we want to find the value of t with r = 49.5 m/h and d = 504.9 m. If we solve from t we got:
[tex] t = \frac{d}{r}[/tex]
And replacing the info given we got:
[tex] t = \frac{504.9m}{49.5 m/h}= 10.2[/tex]
And the best option would be:
10.2 h
Answer:
[tex]\bold{METHOD\ 2:}\\\\\text{Substitute the values of}\ r=49.5\ \dfrac{m}{h}\ \text{and}\ d=504.9\ m\ \text{to the formula}\ d=rt:\\\\504.9\ m=49.5\ \dfrac{m}{h}\cdot t\\\\\text{solve for}\ t:\\\\49.5\ \dfrac{m}{h}\cdot t=504.9\ m\qquad\text{divide both sides by}\ 49.5\ \dfrac{m}{h}\\\\t=504.9\ m:\left(49.5\ \dfrac{m}{h}\right)\\\\t=\dfrac{504.9}{49.5}\ m\!\!\!\!\!\diagup\cdot\dfrac{h}{m\!\!\!\!\!\diagup}\\\\t=10.2\ h[/tex]
Step-by-step explanation:
[tex]\bold{METHOD\ 2:}\\\\\text{Substitute the values of}\ r=49.5\ \dfrac{m}{h}\ \text{and}\ d=504.9\ m\ \text{to the formula}\ d=rt:\\\\504.9\ m=49.5\ \dfrac{m}{h}\cdot t\\\\\text{solve for}\ t:\\\\49.5\ \dfrac{m}{h}\cdot t=504.9\ m\qquad\text{divide both sides by}\ 49.5\ \dfrac{m}{h}\\\\t=504.9\ m:\left(49.5\ \dfrac{m}{h}\right)\\\\t=\dfrac{504.9}{49.5}\ m\!\!\!\!\!\diagup\cdot\dfrac{h}{m\!\!\!\!\!\diagup}\\\\t=10.2\ h[/tex]
[tex] {2}^{5} [/tex]
Answer:
[tex]32[/tex]
Step-by-step explanation:
[tex] {2}^{5} \\ 2 \times 2 \times 2 \times 2 \times 2 \\ 4 \times 4 \times 2 \\ 16 \times 2 \\ = 32[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The right answer is 32.
Look at the attached picture
hope it will help you
good luck on your assignment
Multiply and write in standard form.
(3x − 2)(5x2 – 3x + 4)
Step-by-step explanation:
[tex](3x-2)(5x^2-3x+4)[/tex]
[tex]15x^3-9x^2+12x-10x^2+6x-8[/tex]
Now, combine like terms.
[tex]15x^3-19x^2+18x-8[/tex]
A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.69 hours, with a standard deviation of 2.42 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.32 hours, with a standard deviation of 1.83 hours.
Construct and interpret a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children (μ1 - μ2).
Answer:
95% confidence interval for the mean difference in leisure time between adults with no children and adults with children (μ1 - μ2).
(0.4144 , 2.3256)
Step-by-step explanation:
Given sample size 'n' =n₁ = n₂ = 40
The mean of the first sample (x₁⁻) = 5.69 hours
The standard deviation of the first sample (S₁)= 2.42 hours
The mean of the second sample( x₂⁻) = 4.32 hours
The standard deviation of the second sample (S₂)= 1.83 hours
95% of confidence intervals for (μ₁ - μ₂)are determined by
[tex](X^{-} _{1} - X^{-} _{2} - t_{\frac{\alpha }{2} } Se(X^{-} _{1} - X^{-} _{2} ) , X^{-} _{1} - X^{-} _{2} + t_{\frac{\alpha }{2} } se(X^{-} _{1} - X^{-} _{2} ))[/tex]
where
The standard error of the difference between two means
[tex]se(X^{-} _{1} - X^{-} _{2} ) = \sqrt{\frac{S^{2} _{1} }{n_{1} }+\frac{S^{2} _{2} }{n_{2} } }[/tex]
[tex]se(X^{-} _{1} - X^{-} _{2} ) = \sqrt{\frac{(2.42)^2 }{40 }+\frac{(1.83)^2 }{40 } }[/tex]
[tex]se(X^{-} _{1} - X^{-} _{2} ) = \sqrt{0.2301325} = 0.47972[/tex]
Degrees of freedom γ = n₁ +n₂ -2 = 40+40 -2 =78
[tex]t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } = t_{0.025}[/tex]
t₀.₀₂₅ = 1.992
95% of confidence intervals for (μ₁ - μ₂)are determined by
[tex](X^{-} _{1} - X^{-} _{2} - t_{\frac{\alpha }{2} } Se(X^{-} _{1} - X^{-} _{2} ) , X^{-} _{1} - X^{-} _{2} + t_{\frac{\alpha }{2} } se(X^{-} _{1} - X^{-} _{2} ))[/tex]
(5.69 -4.32)- 1.992(0.47972)), (5.69-4.32)+1.992(0.47972))
(1.37 -0.9556 , 1.37+0.9556)
(0.4144 , 2.3256)
Conclusion:-
95% confidence interval for the mean difference in leisure time between adults with no children and adults with children (μ1 - μ2).
(0.4144 , 2.3256)
Following are the calculation to the confidence interval:
Given:
[tex]\bar{x_1}= 5.69\\\\\bar{x_2}= 4.32\\\\s_1=2.42\\\\s_2=1.83\\\\n_1=40\\\\n_2=40\\\\[/tex]
To find:
confidence interval=?
Solution:
[tex]\to a=0.1\\\\ \to Z(0.05)=1.645[/tex] (from standard normal table)
Calculating the confidence interval when its value is [tex]95\%[/tex]:
[tex]\to (\bar{x_1}-\bar{x_2}) \pm Z \times \sqrt{(\frac{s^2_{1}}{n_1}+ \frac{s^2_{2}}{n_2})}[/tex]
[tex]\to (5.69-4.32)\pm 1.645 \times \sqrt{(\frac{2.42^2}{40}+\frac{1.83^2}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{(\frac{5.8564}{40}+\frac{3.3489}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{(\frac{5.8564+3.3489}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{(\frac{9.2053}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{0.2301325}\\\\\to (1.37)\pm 1.645 \times 0.4797212 \\\\\to (1.37)\pm 0.789\\\\\to (2.159, 0.581 )[/tex]
Therefore, the final answer is "(2.159 and 0.581)".
Learn more about the confidence interval:
brainly.com/question/24131141
Which expression fits the description?
-The expression is quotient of 2 quantities
-The numerator of the expression is 5 and the sum of x and y
-The denominator is the product of -8 and x
Answer:
[tex]\frac{5(x+y)}{-8x}[/tex]
Step-by-step explanation:
Given the description below;
-The expression is quotient of 2 quantities
-The numerator of the expression is 5 and the sum of x and y
-The denominator is the product of -8 and x
Let the given two quantities be a and b
The quotient of the expression will be expressed as [tex]\frac{a}{b}[/tex] where 'a' is the numerator and 'b' is the denominator
If the numerator of the expression is 5 and the sum of x and y , then;
[tex]a = 5(x+y)[/tex]
If the denominator is the product of -8 and x, then;
[tex]b =-8x[/tex]
The quotient of both expression will be [tex]\frac{a}{b} = \frac{5(x+y)}{-8x}[/tex]
The expression that fits the description is [tex]\frac{5(x+y)}{-8x}[/tex]
help asap !! will get branliest.
Answer:
d
Step-by-step explanation:
Hello my daughter needs help on her homework Thi is her question
Can you work out the diameter of these new planets using the clues below?
Vesta is 10 times bigger than Athena.
Athena has half the diameter of Vulcan.
Juno is 10 times bigger than Athena.
Ceres is 100 times bigger than Vulcan.
Vulcan is 20 530km in diameter.
Apollo is 100 times bigger than Athena
I hope you all can help my daughter as me and her father is confused as well
Answer:
Athena = 10,265 km
Vesta = 102,650 km
Juno = 102,650 km
Ceres = 2,053,000 km
Apollo = 1,026,500 km
Step-by-step explanation:
Athena = 20,530 / 2 = 10,256
From there, you can work out the rest by multiplying accordingly.
Hope this helps and made sense! :)
Consider a t distribution with 24 degrees of freedom. Compute P(-1.27˂t˂1.27) . Round your answer to at least three decimal places.
Answer:
Step-by-step explanation:
Use the calculator provided to solve the following problems. Consider a t distribution with 24 degrees of freedom. Compute P(-1.27˂t˂1.27) . Round your answer to at least three decimal places. Consider a t distribution with 5 degrees of freedom. Find the value of c such that P(t≤c)=0.05 . Round your answer to at least three decimal places.