Using statistical concepts, it is found that as the degrees of freedom increase, the t distribution approaches the z-distribution.
When should the t-distribution and the z-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.For large sample sizes, that is, a large number of degrees of freedom in the t-distribution, the t distribution approaches the z-distribution.
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pls help me classify each of this?!
First image -Right triangle(One angle is 90 degrees)
Second image-Isosceles triangle(Two equal sides and two equal angles).
here it is could you help me.
Answer:
7. D.58
Because 90-32=58 (that cube on the edge means 90degree)
8. A.45
Because 180-135=45
9. C. Because angles are equal
10. C. 95
180-85=95
Help with this volume problem? (please include how you got the answer) will give brainlyest
Answer:
35.28 m
Step-by-step explanation:
Formula for volume of pyramid:
[tex]V=b^2\frac{h}{3}[/tex]
Therefore since,
base - 4.2 m
height - 6 m
Then,
[tex]V=4.2^2\frac{6}{3}[/tex]
[tex]V=35.28m[/tex]
Kavinsky
Eric surveys students at his school and finds that 80% have a pet. He wants to estimate the probability that, if he randomly selected 4 students, more than 2 would have a pet.
To estimate this probability, he lets the numbers 1, 2, 3, and 4 represent a student who has a pet and 5 represent a student who does not have a pet. He then has a computer randomly select 4 numbers and repeats this 20 times.
The results of these trials are shown in this list.
5533, 2245, 1555, 3341, 4252,5335, 5321, 4155, 2131, 3414,1532, 4251, 2523, 3311, 2352,2332, 5451, 3344, 1121, 5243
Based on this simulation, what is the estimated probability that more than 2 of 4 randomly selected students would have a pet?
Enter your answer, as a decimal, in the box.
==========================================================
Explanation:
You'll look at each four digit group separately.
Since we want more than 2 people having a pet, this means the group of four must have 3 pet owners or all 4 are pet owners.
The digit 5 represents "no pet". If we see it show up twice or more, then we must cross the group off the list. Something like 5533 has the first two people that don't own pets, while the last two people do own pets. In this case, we don't have a "more than 2 pet owners" situation happening. So we must cross it off the list.
Here is the list of groups to cross off
55331555533541555451There are five such groups we have eliminated. That leaves 20-5 = 15 groups where there are more than 2 pet owners.
We have 15 groups we want out of 20 total. It leads to the probability of 15/20 = 0.75
Answer:
0.75
Step-by-step explanation:
I took the quiz :)
Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.
Result of spin
Result of coin toss Red Green Yellow Blue
Heads Red, heads Green, heads Yellow, heads Blue, heads
Tails Red, tails Green, tails Yellow, tails Blue tails
What is the probability that the result of the spin is blue and the coin lands heads up?
two over eight
three over eight
one over eight
four over eight
Answer:
[tex]\sf \dfrac{1}{8}[/tex]
Step-by-step explanation:
Spinner choices: Red, Green, Yellow, Blue
Coin choices: Heads, Tails
[tex]\large\begin{array}{| c | c | c | c | c |}\cline{1-5} & \sf Red & \sf Green & \sf Yellow & \sf Blue\\\cline{1-5} \sf Heads & RH & GH &YH & BH \\\cline{1-5} \sf Tails &RT & GT& YT& BT\\\cline{1-5}\end{array}[/tex]
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(blue)=\dfrac{1}{4}[/tex]
[tex]\implies \sf P(heads)=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(blue)\:and\:P(heads)=\dfrac{1}{4} \times \dfrac{1}{2}=\dfrac{1}{8}[/tex]
A point of sale transaction occurs when a debit card is used to purchase items at a grocery store. please select the best answer from the choices provided. t f
It is a true statement that; "A point of sale transaction occurs when a debit card is used to purchase items at a grocery store."
What is a debit card?
A debit card is a small card that contains a chip which a bank issues to its customers to enable them to perform cashless transactions outside the banking hall.
It is a true statement that; "A point of sale transaction occurs when a debit card is used to purchase items at a grocery store."
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Answer: It is a true statement.
A transaction is an agreement between a buyer and a seller to exchange goods, services or financial instruments.
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Have a great day and God bless! :)
Three less than the quotient of a number and 4 is 18. What is the number? Let n be the unknown number.
Answer:
n = 84
Step-by-step explanation:
18 + 3 = 21, so that means the quotient of the number and 4 is 21.
21 * 4 = 84
CHECK:
84 / 4 = 21
21 - 3 = 18
Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph.What is the probability that one girl and two boys will be chosen
Answer:
18/125
Step-by-step explanation:
4 add 6 is 10
4/10 chance for a girl
6/10 chance for a boy
2 boys and a girl is 4/10, 6/10, 6/10
4/10 multiplied by 6/10 multiplied by 6/10 is:
144/1000
This can be simplified to 72/500
This can be simplified to 36/250
This can be simplified to 18/125
A quantity with an initial value of 620 grows continuously at a rate of 0.3% per second. What is the value of the quantity after 0.5 minutes, to the nearest hundredth?
Answer:
678.39
Step-by-step explanation:
For this we should probably use the formula A = Pe^rt. The question says that the value grow "continuously" which is our hint that we should use A = Pe^rt rather than A = P(1 +r/n)^nt. Our P = 620 as it is our initial value. e is a constant approx = 2.718. r is our rate, so 0.3% = 0.003, and our t will be in seconds. We need to figure out how many seconds are in .5 minutes, so 30, and that means our t will = 30. Let's plug these in. 620e^(0.003 * 30) = A. This will give us our answer which when rounded to the hundredths = 678.39.
Hope this is helpful.
A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 1010 gallons, and pool B held 2 x 108 gallons. How many times more gallons will the larger pool hold than the smaller pool?
4
20
100
200
Answer:
20
Step-by-step explanation:
Which angle in this quadrilateral is an obtuse angle?
Angle J
Angle K
Angle L
Angle M
Answer:
Angle L
Step-by-step explanation:
An obtuse angle has a measure between 90° and 180°.
Angles J and K are right angles, so their measures are equal and are 90°. Angle M has measure 64° and is acute.
Only angle L, which measures 116°, has a measure between 90° and 180° and is an obtuse angle.
Answer: Angle L
Find the range and interquartile range of the data.
2, 4, 8 , 3, 2
Answer:
IQR = 4
Step-by-step explanation:
Q3 = 6
Q1= 2
6-2=4
Write the equation of the circle in general form. Show all your work.
Answer:
(x + 3)^2 + (y - 2)^2 = 25
Step-by-step explanation:
Looking at the circle we can see the origin and the radius from the origin to the edge of the circle.
radius = 5
Origin of the circle (h,k) = (-3,2)
Equation of a circle: (x - h)^2 + (y - k)^2 =r^2
Plug in our (h,k) and radius into the equation.
(x - (-3))^2 + (y - (2))^2 = 5^2
(x + 3)^2 + (y - 2)^2 = 25
In the diagram, quadrilateral EFGH is similar to quadrilateral PQRS. Using the graph, determine the coordinates of H. DRAG & DROP THE ANSWER
Answer:
(12,15)
Step-by-step explanation:
This is assuming you haven't answered already... Mr Cooper helped me find it
The ice cream stand offers chocolate, vanilla, and strawberry ice cream. Find the approximate probability the next three customers order vanilla, chocolate, and then strawberry.
Answer: 1/3 im not sure tho
Step-by-step explanation:
Laura's yard is in the shape of a square and a half-circle. 12 m What is the approximate area of Laura's yard? A 57 m2 B 144 m2 C 201 m2 D 257 m2
Answer:
B 144
Step-by-step explanation:
The points P (22, 15), Q (−13, c) and R (k, 24) all lie on a circle, centre (2, 0). Find the radius of the circle and the possible values of the constants c and k.
Answer:
r = 25c = 20k = 9 or k = -5Step-by-step explanation:
Circle of center A(2, 0) and radius r.
P (22, 15), Q(−13, c) and R (k, 24) all lie on a circle,
[tex]r=AP=\sqrt{\left( 22-2\right)^{2} +\left( 15-0\right)^{2} }[/tex]
[tex]=25[/tex]
Q(−13, c) lies on the circle then ,
[tex]AQ=r\Longrightarrow AQ^{2}=r^{2}\Longrightarrow (-13-2)^{2}+(c-0)^2=25^2=625[/tex]
[tex]\Longrightarrow 225+c^{2}=625[/tex]
[tex]\Longrightarrow c=20[/tex]
R (k, 24) lies on the circle then ,
[tex]AR=r\Longrightarrow AR^{2}=r^{2}\Longrightarrow (k-2)^{2}+(24-0)^2=25^2=625[/tex]
[tex]\Longrightarrow (k-2)^{2}+576=625[/tex]
[tex]\Longrightarrow (k-2)^{2}=49[/tex]
[tex]\Longrightarrow k-2=7\ \ or \ \ k-2=-7[/tex]
[tex]\Longrightarrow k=9\ \ or \ \ k=-5[/tex]
Solve the system of equations.
[tex]\left \{ {{y=220x-160} \atop {y=20x-400}} \right. \\[/tex]
[tex]\begin{cases} y=220x-160\\ y=20x^2-400 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\textit{\Large y}}{220x-160}~~ = ~~20x^2-400} \\\\\\ -160=20x^2-220x-400\implies 0=20x^2-220x-240 \\\\\\ 0=20(x^2-11x-12)\implies 0=x^2-11x-12 \\\\\\ 0=(x-12)(x+1)\implies x= \begin{cases} 12\\ -1 \end{cases}[/tex]
[tex]\dotfill\\\\ x=12\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(12)-160}\implies y=2480 \\\\\\ x=-1\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(-1)-160}\implies y=-380 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12~~,~~2480)\qquad (-1~~,~~-380)~\hfill[/tex]
HELPPP PLEASEEEEE
Tyrion creates a set of nesting shapes as a toy set for his baby nephew. The outer figure is a
cube with an edge length of 20 centimeters. The middle figure is a square pyramid with an
identical square base and the same height as the cube. The innermost figure is a cone with a
diameter and height equal to the edge of the cube. Calculate the difference of volumes
between cube and cone. Round your answers to the nearest whole cubic centimeter.
Answer:
5906
Step-by-step explanation:
The difference in volumes between cube and cone is 5190.52 cubic units.
How to find the volume of a cube?Suppose that:
The side length of the considered cube is L units.
Then, we get:
The volume of that cube = L³ cubic units.
The outer figure is a cube with an edge length of 20 centimeters.
The volume of that cube = L³ cubic units.
= 8000 cubic units.
The volume of that cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
The height is 20 cm and the radius will be
[tex]D = 20\sqrt{2} \\ = 28.2\\\\r = D/2\\ = 14.1[/tex]
volume of that cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
= [tex]V = \dfrac{1}{3} (3.14) (14.1)^3 (20) \: \rm unit^3[/tex]
= 59190.52 cubic units
Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.
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______ is the cost for the use of money.
Answer:
do you have a pic?
Step-by-step explanation:
Simplify the expression. Write your answer as a power.
Answer:
2/3 to the power 8
Step-by-step explanation:
Power : 2 + 6 = 8
Use the function f(x) to answer the questions:
f(x) = 4x2 + 8x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Step-by-step explanation:
let's start with B :
the best way to find the vertex is by transforming the function into the vertex form :
y = a(x - h)² + k
with (h, k) being the vertex.
when doing all the multiplications, we get
y = a(x²-2hx+h²) + k = ax² - 2ahx + ah² + k
let's compare with the irreducible function
ax² = 4x²
a = 4
-2ahx = 8x
-2×4hx = 8x
-8hx = 8x
-8h = 8
-h = 1
h = -1
ah² + k = -5
4×(-1)² + k = -5
4 + k = -5
k = -9
so, the vertex form is
y = 4(x + 1)² - 9
the vertex is (-1, -9)
if the factor of the (x-h)² term is greater than 0, then the parabola opens upward, and if it is less than zero, the parabola opens downward.
out factor is +4, so it opens upward, and the vertex is a minimum.
A
now we know
y = 4(x + 1)² - 9
for the x-intercepts we need to find the x-values that lead to 0 y values.
so,
0 = 4(x + 1)² - 9
9 = 4(x + 1)²
3 = ± 2(x + 1) = ± (2x + 2)
for +(2x + 2) is then
3 = 2x + 2
2x = 1
x = 1/2
for -(2x + 2) is then
3 = -2x - 2
5 = -2x
x = -5/2
so, the x-intercepts are
(-5/2, 0) and (1/2, 0).
C
I know it is a parabola.
i know 3 points : the vertex and the 2 x-interceot points. i could then also calculate the points for x = 0, 1, -1, 2, -2.
and then draw the graph with a curve ruler connecting the points.
PLEASE HELP ME !!???! I DONT GET IT
Answer:
see explanation
Step-by-step explanation:
the perimeter (P) is the sum of the 3 sides of the triangle, then
P = 31 + 19.5 + 16.2 = 66.7 units
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 16.2 and h = 13 , then
A = [tex]\frac{1}{2}[/tex] × 16.2 × 13 = 8.1 × 13 = 105.3 units²
what’s the area and the perimeter and of the triangle?
Answer:
16.5
Step-by-step explanation:
7.5 x 2.2. formula of triangle = bh
Find the Volume of the Sphere if:
r=10 and pi= 3.1416
Answer:
4188.79
Step-by-step explanation:
formula- [tex]\frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]r^{3}[/tex]
r= radius
One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once. What is the sample space of outcomes
The total number of outcomes will be 6. Then the sample space will be {(3,R), (3,S), (3,T), (5,R), (5,S), (5,T)}
What are Sets?Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as a curly bracket {..}.
One spinner has three equally sized sectors labeled R, S, and T.
A second spinner has two equally sized sectors labeled 3 and 5.
Then the total number of the event will be
Total event = 3 × 2
Total event = 6
Then the sample space will be
[tex]\rm Sample = \left\{\begin{matrix}3,R & 3,S & 3,T \\\\5,R & 5,S & 5,T \\\end{matrix}\right.[/tex]
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Find the sum of the first 9 terms
of the geometric sequence: 0.5, 1, 2,-..
Answer:
S₉ = 255.5
Step-by-step explanation:
the sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 0.5 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1}{0.5}[/tex] = 2 , then
S₉ = [tex]\frac{0.5(2^{9}-1) }{2-1}[/tex]
= [tex]\frac{0.5(512-1)}{1}[/tex]
= 0.5(511)
= 255.5
Genevieve is in charge of creating a five-digit code to lock and unlock a secure cabinet. she can use any digit from 0 through 9, and she can use each digit as many times as she wants. she knows she wants to start the code with a prime number. how many possible codes that start with a prime number could genevieve create? 40,000 codes 50,000 codes 400,000 codes 500,000 codes
The number of digits is an illustration of combination, and there are 40,000 possible codes that start with a prime number that Genevieve could create
How to determine the number of digits?The given parameters are:
Length = 5
First digit = Prime number (2, 3, 5, and 7)
This means that the first digit can be any of the 4 prime numbers, while the other four digits can be any of the 10 digits 0 - 9
So, the number of codes is
Code = 4 * 10 * 10 * 10 * 10
Evaluate
Codes = 40,000
Hence, there are 40,000 possible codes that start with a prime number that Genevieve could create
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Answer:
40,000
Step-by-step explanation:
i did the k12 test ;)
A ladder reaches 2 m up a wall. the foot of the ladder is 0.4 m from the wall. for safety reasons, the slope should be between 6.3 and 9.5. is this ladder within the safe range?
Answer:
No, the ladder is not within the safe range because the slope is 5.
Step-by-step explanation:
To solve, find the slope of the ladder using the slope formula and check if the slope is between 6.3 and 9.5.
What is slope?
Slope is how steep a line is. In this case, the line is the ladder. If the ladder is too steep, them it is not safe.
How do we calculate slope?You can calculate slope using the following formula:
[tex]slope = \frac{rise}{run}[/tex]
Rise means how faraway vertically, or how high up the ladder is.
Run means the how faraway horizontally, or from the wall the ladder is.
Slope of the ladderLet's calculate slope using the formula.
[tex]\displaystyle {slope=\frac{rise}{run}}[/tex]
[tex]\displaystyle {slope=\frac{2\ m}{0.4\ m}}[/tex] Substitute the values, 2m for rise, 0.4m for run.
[tex]\displaystyle {slope=5}[/tex] Final answer
Is the ladder safe?The question tells us that a safe ladder has a slope of 6.3 to 9.5. The slope, 5, is not between that range. Therefore, the ladder is not safe.
what does x equal when 6600/80 = x
Answer: 82.5
Step-by-step explanation: 6600 divided by 80 is 82.5
Answer:
82.5
Step-by-step explanation:
