Answer:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1- P(t_{16} <2.583)[/tex]
And if we use the t- table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
Step-by-step explanation:
For this case we know that the degrees of freedom are given:
[tex] df = n-1= 16[/tex]
And we want to find the following probability:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1-P(t_{16} <2.583)[/tex]
And if we use the t-table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
Answer with steps by step please
Answer:
a is 1
Step-by-step explanation:
[tex]a+\dfrac{1}{a}=2[/tex]
Multiply both sides by a:
[tex]a^2+1=2a[/tex]
Move everything to one side:
[tex]a^2-2a+1=0[/tex]
Factor:
[tex](a-1)^2=0[/tex]
By the zero product rule, a is 1.
Therefore, the expression is true, because:
[tex](1)^2+\dfrac{1}{a^2}=a^4+\dfrac{1}{a^4}=1+1=2[/tex]
Hope this helps!
Graph the equation to solve the system y=x-5 y=x+6
Answer:
the equations have no solutions
(i.e the graphs are parallel and does not intersect each other)
Step-by-step explanation:
if we graph the 2 equations, we can see that they are parallel and do not intersect, hence there is no solution to the given system of equations.
the __________ set is the set of elements under consideration
Answer:
SYNTAX PROPERTY
Step-by-step explanation:
For f(x) = 2x+ 1 and g(x) = x^2 - 7, find (f+ g)(x).
Answer:
x^2 + 2x -6
Step-by-step explanation:
f(x) = 2x+ 1
g(x) = x^2 - 7
(f+ g)(x)= 2x+ 1 + x^2 - 7
Combine like terms
= x^2 + 2x -6
At the city museum, child admission is $5.20 and adult admission is $9.10 . On Wednesday, twice as many adult tickets as child tickets were sold, for a total sales of $631.80. How many child tickets were sold that day?
Answer:
54 adult tickets and 27 child ticket
54×9.10+5.20×27=631.80
419.4+104.4=631.80
631.80=631.80 ( so it's the answer)
A cubical block of side 14 cm is surmounted by a hemisphere . what is the greatest radius that the hemisphere can have?
Answer:
9.9cmStep-by-step explanation:
The hemisphere will have its greatest radius along the diagonal of the cube it was surmounted on. The base of the cubical block will be square in nature. Since a cube has all its sides equal, we can find the length of its diagonal using pythagoras theorem as shown.
[tex]hyp^{2} = adj^{2} +opp^{2}[/tex]
Note that the diagonal will be the hypotenuse of the square face which is the longest sides.
Given adjacent = 14cm and opposite = 14cm
[tex]hyp^{2} = 14^{2} +14^{2}\\hyp = \sqrt{196+196} \\hyp = \sqrt{392} \\hyp = 19.8cm[/tex]
The diagonal of the base of the cube is 19.8cm which is equivalent to the greatest diameter of the sphere.
The greatest radius that the hemisphere can have = 19.8/2 = 9.9cm
Drawing diagrams
Circles
Radius rDiameter dRelationship between r and d:Cubes
Length lWidth wHeight hApplication:Let's draw a figure to supplement a visual image to further understand what we need to find. Please refer to the attached image for reference. Please excuse the poor handwriting/drawing. It is also not to scale.
We know that there is a cubical block w/ side measurements of 14 cm. "Surrmounted" means on top. So a hemisphere (half of a sphere) is on top of our block.
If we take a look at our geometrical shape from the top-down angle, we can see that the top would just look like a circle within a square, as depicted in blue.
Labeling our measurements, we can see that the length, width, and height of our cubical block are equal to 14 cm due to the definition of a cube. This extends to the definition of a square as well, so the length and width of our square are also equal to 14 cm.
With the side of the square equal to 14 cm, we know that this is equal to the circle's diameter. So d = 14 cm. We can solve for the radius of the circle/hemisphere by substituting it into the radius formula:
[tex]\begin{aligned}r & = \frac{d}{2} \\& = \frac{14 \ \text{cm}}{2} \\& = \boxed{ 7 \ \text{cm}} \\\end{aligned}[/tex]
Answer:∴ the greatest radius that the hemisphere can have is equal to 7 cm. Any r > 7 cm would result in the hemisphere being over the edge of the cube.
___
Learn more about Geometry: https://brainly.com/question/27732359
___
Topic: Geometry
Unit: Composition of Geometrical Shapes
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the distance from point P to point R. 4.9 4.7 2.5 2.3
Answer:
5.1
Step-by-step explanation:
Before we calculate the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points
D = √(x2-x1)²+(y2-y1)²
Given P(−2, 7), and R(1, 0)
RP = √(1-(-2))²+(0-7)²
RP = √3²+(-7)²
RP = √9+49
RP =√58
To get the y value for point Q that is located two thirds the distance from point P to point R, this will give
PQ = y = 2/3 of √58
= 5.1
Answer: I Believe its 2.3
Step-by-step explanation:
P is located at (-2,7)
R is located at (1,0)
Look at the y coordinates
P(-2,7) R(1,0)
7 to 0= distance of 7
multiply 2/3 by 7 = 4.7 (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)
Now plug in the info we know:
.y axis = 7 - 4.7 = 2.3
Hope this helped! Im taking the test and ill be back if this is wrong
1) Simplify 16x – 7y - 19x - 4y
Answer:
-3x-11y is the answer.
Answer: -3x-11y
Add them in groups
The table represents a linear function.The rate change between the points (-5,10) and (-4,5) is -5 what is the rate of change between points (-3,0) and (-2,-5)
Answer:
The rate of change is "5"
which agrees with the last answer option
Step-by-step explanation:
Use the expression for the rate of change between two points on the plane:
[tex]rate\,of\,change=\frac{y_2-y_1}{x_2-x_1} \\rate\,of\,change=\frac{-5-0}{-2-(-3)}\\rate\,of\,change=\frac{-5}{1}\\rate\,of\,change=5[/tex]
Answer: is 5 I just took the test
Step-by-step explanation:
10 pts!
How can you determine if two triangles have a scale factor?
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5. hope that helps love!
Answer:
i dont know but here is some help
Step-by-step explanation:
Scale Factor. Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 .
If 2x + y = 32 and 3x + 4y =68 find the value of x/y
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...
If f(x) = x^2 - 2x and g(x) = 6x + 4, for what value of x does (f + g)(x) = 0?
Answer:
x = -2
Step-by-step explanation:
[tex]f(x) =x^2 -2x\:\: and \:\: g(x) = 6x + 4\\(f+g)(x) = f(x) + g(x) \\(f+g)(x) = x^2 -2x+ 6x + 4\\(f+g)(x) = x^2+4x + 4\\(f+g)(x) = (x+2)^2\\ 0 = (x+2)^2...[\because (f+g)(x) =0]\\0 = x+2\\\therefore x = -2[/tex]
Answer:
x = -3 + √5 and x = -3 - √5
Step-by-step explanation:
Combine f and g:
f = x^2 -2x
+g = 6x + 4
-------------------------
(f + g)(x) = x^2 + 6x + 4
Set this result = to 0 and solve for x:
By completing the square, we get:
y = x^2 + 6x + 9 - 9 + 4, or
y = (x + 3)^2 - 5 = 0
Thus, (x + 3)^2 = 5, and:
x + 3 = ±√5, or
x = -3 + √5 and x = -3 - √5
NOT TO SURE!! LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
12. ___________________ lines cross at a right angle.
A) Parallel
B) Slanted
C) Intersecting
Answer:
C) Intersecting
Step-by-step explanation:
happy to help ya:)
Answer:
Is thier an answer that you can put as Perpindicular because that should be the right answer
Step-by-step explanation:
Perpendicular lines are two lines that intersect and form right angles
Determine the smallest integer that makes -3x + 7 - 5x < 15 true.
State the smallest possible value for x in the solution set below as a number only.
Answer:
-1
Step-by-step explanation:
write it in the following manner:
-3x + 7 - 5x = 15
-8x + 7 = 15
-8x = 8
x = -1
Thus, the number has to be smaller than -1.
The smallest integer that makes the given inequality true is 0.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given inequality,
-3x + 7 - 5x < 15
We have to find the value of x.
(-3x - 5x) + 7 < 15
-8x < 8
Dividing whole sides by -1, the inequality sign changes.
x > -1
Smallest possible value is 0.
Hence the smallest posible value is 0.
Learn more about Inequalities here :
https://brainly.com/question/26855203
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A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the redius of the bubbles is about 0.7 mm. According to the formula below, what would be the volume of one of these bubbles?
Answer:
0.267[tex]mm^3[/tex]
Step-by-step explanation:
Radius of the Bubble = 0.7 mm
Volume of the bubble is given by the formula :
[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]
Taking cube on both sides
[tex]V=\frac{4\pi\times r^3 }{3}\\\\ V=\frac{4\times3.14\times(0.7)^3}{3}\\\\V=\frac{12.56\times 0.064}{3}\\\\ V=\frac{0.804}{3}\\\\V=0.267mm^3[/tex]
i think of a number, take away 1 and multiply it by 3
Answer:
X-3, not sure. Try that.
Answer:
[tex]3(x - 1)[/tex]
Step-by-step explanation:
Thinked number = x
take away = -1
[tex]x - 1[/tex]
multiply it by 3
[tex]3(x - 1)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Write a coordinate proof to prove that the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base is perpendicular to the base .
Answer:
Given: An Isosceles Triangle ABC with a vertex at B.
Midpoint M of the base AC.
To Prove: BM is perpendicular to AC.
Proof:
Let the coordinates of the points of the isosceles triangle be given as:
A = (-k, 0)
Vertex, B = (0,a)
C = (k, 0)
Midpoint, M = (0,0)
Slope of the base segment, AC:
[tex]=\dfrac{dy}{dx} = \dfrac{0 - 0}{k - (-k)} = \dfrac{0}{2\cdot k}[/tex]
Slope of the base segment, AC= [tex]\dfrac{0}{2\cdot k}=0[/tex]
Slope of the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base, BM.
[tex]\text{Slope of BM =} \dfrac{0 - a}{0 - 0} = \dfrac{-a}{0}\\[/tex]
[tex]\text{Slope of BM = } \dfrac{-a}{0}[/tex] = Undefined
Two lines are perpendicular if the gradient of one is a negative reciprocal of the other.
Since [tex]-\dfrac{a}{0}[/tex] is a negative reciprocal of 0 for arbitrary values of a, BM and AC are perpendicular.
This concludes the proof.
This is probably very easy but I totally forgot (look at picture)
Answer:
I hope ive done this correctly
Fixed, i see where i went wrong, i done it backwards
Step-by-step explanation:
Please help me simplify these expressions
Answer:
6p^5 q^3
Step-by-step explanation:
download the app cymath for these types of questions
this (^) means exponents
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Number 5:
2p^2qx3p^3q^2
Take out the constants (2x3)p^2p^3qq^2
Simplify 2x3 to 6, 6p^2p^3qq^2
6p^2+^3q^1+^2
simplify 2+3 to 5, 6p^5q^1+^2
simplify 1+2 to 3
6p^5 q^3
What is this problem
Answer:
[tex]m=A-\frac{2n}{Z}[/tex]
Step-by-step explanation:
Multiply by 2:
2n = Z(A - m)
Divide by Z:
[tex]\frac{2n}{Z} =A-m[/tex]
Subtract A:
[tex]-m=\frac{2n}{Z}-A[/tex]
Multiply by -1:
[tex]m=A-\frac{2n}{Z}[/tex]
I really need help in this one I’m stuck if someone could help me I would REALLY appreciate it ☹️ it’s geometry
Attachment Mathswatchhhh!!!!!!!!! answer only no explanation
Answer:
y= -7/-4/-1/2/5/8
Step-by-step explanation:
Answer:
-7, -1, 8
Step-by-step explanation:
substitute the numbers in the equation given:
1) y=3x-1
y=3(-2) -1
y=-6 -1
y=-7
2)y=3x-1
y=3(0) -1
y=0-1
y=-1
3) y=3x-1
y=3(3) -1
y=9-1
y=8
Complete the missing parts of the table for the following function.
y=(1/6)^x
36,6,36
and btw what episode u on on naruto yah weeb
NEED HELP ASAP!!
Will give BRAINILESS!!
ATTACHED PICTURE
Answer
D= t^2 + 5.6
Step-by-step explanation:
D= t + 5.3 x t + 0.3
D= t^2 + 5.6
gasoline is stored in a cylindrical container that has a diameter of 13.8 meters and a height of 4.7 meters. which is closest to the amount of plastic needed to cover the entire container?
Answer:
V = 702.984763 m³
Step-by-step explanation:
radius r = 6.9 m
height h = 4.7 m
volume V = 702.984763 m³
lateral surface area L = 203.7637 m²
top surface area T = 149.571226 m²
base surface area B = 149.571226 m²
total surface area A = 502.906152 m²
In Terms of Pi π
volume V = 223.767 π m³
lateral surface area L = 64.86 π m²
top surface area T = 47.61 π m²
base surface area B = 47.61 π m²
total surface area A = 160.08 π m²
Agenda:
r = radius = diameter/2
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Formula: Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
A hemispherical bowl of internal diameter
36 cm
contains liquid. This liquid is to
be filled in cylindřical glasses of
diameter
6cm and
of
height
6cm. Find the
number of
glasses that can be filled
Answer: 72 bottles
Given,
internal diameter=36cm
internal radius=36/2=18cm
volume of bowl=2/3 πr³
=2/3(22/7)(18³)
=2×22×18³/7×3
=12219.4cm³
volume of bottle=πR²h
=22/7(3²)(6)
=22×9×6/7
=169.7cm³
no. of bottles required=12219.4/169.7
=72.23=72 bottles approx
Please help me do this
Answer:
Step-by-step explanation:
This is part of the Isosceles Triangle Theorem. If one theta is equal to the other theta (and they are or else they wouldn't both be theta; one would be theta and the other might be beta), that means that the sides across from those congruent angles are also congruent. That means that
6x + 6 = 9x - 9 and
15 = 3x so
x = 5
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answer: A. Triangle
Step-by-step explanation: Its A because its in order of number of sides starting from the left side. It goes 6 sides, 5 sides, 4 sides, then next should be 3 sides.
Answer:
A
I think A is the correct answer and this can only be true if we are following the sequence because the first shape has 6 sides followed by 5 and 4 so probably 3 should be the next.
Without actual division, prove that 2x^4 - 5x^3 + 2x^2 - x + 2 is divisible by x^2 + 3x + 2.
Answer:
Thinking Process
(i) Firstly, determine the factors of quadratic polynomial by splitting middle term.
(ii) The two different values of zeroes put in bioquadratic polynomial.
(iii) In both the case if remainder is zero, then bioquadratic polynomial is divisible by
quadratic polynomial.
Answer:
2x⁴ - 5x³ + 2x² - x + 2=
2x²(x²-3x+2) +x³-2x² -x +2=
2x²(x²-3x+2) + x(x²-3x+2) +x² -3x +2=
(x²-3x+2)(2x²+x+1)
since x²-3x+2 is the factor of the given polynomial, we can state the polynomial is divisible by x²-3x+2
-------------
note: x²+3x+2 is not the factor of the given polynomial
(PLZ NEED HELP) The doubling time of a bacterial population is 10 minutes. After 80 minutes, the bacterial population was 80000. _____
Using your rounded answer for the initial population above (do not round your growth rate), find the size of the bacterial population after 5 hours.____
Answer:
Initial population = 313
Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]
Step-by-step explanation:
Let initial population = [tex]x[/tex]
It is given that population gets doubled every 10 minutes.
Population after 10 minutes = [tex]2x[/tex]
Population after 20 minutes = [tex]2^{2} x[/tex]
:
:
Population after 80 minutes = [tex]2^{8} x[/tex] and it is given as 80000.
[tex]\Rightarrow 2^{8} x = 80000\\\Rightarrow x = \dfrac{80000}{256}\\\Rightarrow x = 313[/tex]
So, initial population is 312.5 = ~313
To find, population after 5 hours i.e. 5 [tex]\times[/tex] 60 = 300 minutes
Population after 300 minutes =
[tex]2^{30} x\\\Rightarrow 2^{30} \times 313\\\Rightarrow 3.36 \times 10^{11}[/tex]
So, the answers are:
Initial population = 313
Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]
