Answer:
The measure of angle RST = 120°
Step-by-step explanation:
Answer:
The measure of angle RST = 120°
hope this helps
There are 12 inches in 1 foot and 5280 feet in 1 mi Elena ran 2.5 miles how many inches is that
Answer:
there are 63360 inches in 1 mile. if you divide 2 into 63360 and add that with it, that should give you the accurate answer
Course Activity: Relationships Betwee
5 of 16
Question
Mark says that the number 2 is a rational number
because he can write it as the fraction ?
Is Mark correct? Why or why not?
Answer:
yes
Step-by-step explanation:
A rational number is in the form p/q where p and q are both integers and the denominator q is not equal to zero. This means that the set of all real numbers are rational numbers.
Since q can be any integer apart from zero, it means that all integers are rational numbers i.e for q = 1.
Hence 2 which can be written as fraction as 2/1 is a rational number since the denominator (q = 1) is a non zero number
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample.
Answer: 1/5, 1/2, 0.
Step-by-step explanation:
given data:
no of cameras = 6
no of cameras defective = 3
no of cameras selected = 2
Let p(t):=P(X=t)
p(2)=m/n,
m=binomial(3,2)=3!/2!= 3
n=binomial(6,2)=6!/2!/4! = 15
p(3)= 3/15
= 1/5.
p(1)=m/n,
m=binomial(6,1)*binomial(2,2)=6!/1!/4!*2!/2!/0!= 7.5
n=binomial(6,2)= 15
p(2)= 7.5/15
= 1/2
p(0)=m/n,
m=0
p(0)=0
Answer:
a.
The probability of X
k P(X=k)
0 0.25
1 0.5
2 0.25
b. The expected variable value of X; E(X) = 1
Step-by-step explanation:
Given that:
number of cameras = 6
numbers of defective = 3
the probability of defective camera p = 3/6 = 0.5
sample size n = 2
Then X = {0,1,2}
Suppose X is the given variable that represents the number of defective cameras in the sample.
∴
X [tex]\sim[/tex] Bin (n =2, p = 0.5)
The probability mass function of binomial distribution can be computed as :
[tex]P(X =x) = (^n_x) p^x (1-p)^{n-x}[/tex]
For ;
x = 0
The probability P(X=0) [tex]= (^2_0) 0.5^0 (1-0.5)^{2-0}[/tex]
[tex]P(X=0) = \dfrac{2!}{0!(2-0)!} \times 1 \times 0.5^2[/tex]
[tex]P(X=0) =1\times 1 \times 0.25[/tex]
[tex]P(X=0) = 0.25[/tex]
For :
x = 1
The probability P(X=1) [tex]= (^2_1) 0.5^1 (1-0.5)^{2-1}[/tex]
[tex]P(X=1) = \dfrac{2!}{1!(2-1)!} \times 0.5^1 \times 0.5^1[/tex]
[tex]P(X=1) =2 \times 0.5 \times 0.5[/tex]
[tex]P(X=1) =0.5[/tex]
For :
x = 2
The probability P(X=2) [tex]= (^2_2) 0.5^2 (1-0.5)^{2-2}[/tex]
[tex]P(X=2) = \dfrac{2!}{2!(2-2)!} \times 0.5^2 \times 0.5^0[/tex]
[tex]P(X=2) =1 \times 0.5^2 \times 1[/tex]
[tex]P(X=2) =0.25[/tex]
The probability of X
k P(X=k)
0 0.25
1 0.5
2 0.25
The expected variable value of X can be computed as:
E(X) = np
E(X) = 2 × 0.5
E(X) = 1
About Integral-Volume of a Sphere. Could you help me,please?
Answer:
check the answer
Step-by-step explanation:
find the answer in the attached file
For what values of x is each function increasing? For what values of x is it decreasing? a. f(x) = x2 - 4x
Answer:
to the right of x = 2 the function is increasing
{ x | x > 2}
Step-by-step explanation:
Recall that this is a quadratic function, and therefore responds to the shape of a parabola. In this case is also a parabola with branches opening up since the coefficient of the square term is positive. So, we just need to find where the vertex is located, and we know that to the left of the x-value of the vertex the function is decreasing, and to the right of it the function is increasing.
The formula for the x of the vertex of a parabola of the form:
[tex]y=ax^2+bx+c[/tex]
is [tex]x_{vertex}=\frac{-b}{2\,a}[/tex]
which in our case gives:
[tex]x_{vertex}=\frac{-b}{2\,a} =\frac{4}{2} =2[/tex]
Therefore, to the left of x = 2 the function decreases , and to the right of x = 2 the function is increasing.
the difference of the product of 2 and x, and 9?
Answer:
2-x-9? If that's the question than it would be -x-7, but your question kinda confuses me.
Step-by-step explanation:
I have 30 ones 2 thousands,4 hundred thousands 60 tens, and 100 hundreds
Answer:
52630
Step-by-step explanation:
Simplify into numbers.
30 + 2000 + 40000 + 600 + 10000
Add.
52630
What is the range of the following numbers?
Answer:
19
Step-by-step explanation:
hey there,
< First, always start by putting all the numbers given in numerical order. Here, it would be: 6, 12, 18, 20, 25
The range is the largest number (25) minus the smallest number (6). So 25-6 = 19. >
Hope this helped! Feel free to ask anything else.
Please explain How you got the Answer
Answer:
The radius is [tex] 2\sqrt{15} [/tex]
The center is (3, 3)
Step-by-step explanation:
Equation of circle in standard form with center at (h, k) and radius r:
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
We need to complete the square in x and y.
[tex] x^2 + y^2 - 6x - 6y = 42 [/tex]
Separate x-terms and y-terms:
[tex] x^2 - 6x + ~~~~~y^2 - 6y + ~~~~~ = 42 + ~~~~~ + ~~~~~ [/tex]
To complete the square, you square half of the linear term's coefficient.
Linear term in x: -6x
Coefficient: -6
Half of the coefficient: -3
Square half of the coefficient: 9
We need to add 9 to both sides to complete the square in x.
The linear term in y is -6y, so we do the same and we also need to add 9 to both sides to complete the square in y.
[tex] x^2 - 6x + 9 + y^2 - 6y + 9 = 42 + 9 + 9 [/tex]
[tex] (x - 3)^2 + (y - 3)^2 = 60 [/tex]
Now that we have the equation in standard form, we can get the radius and center of the circle.
[tex] r^2 = 60 [/tex]
[tex] r = \sqrt{60} [/tex]
[tex] r = \sqrt{4 \times 15} [/tex]
[tex] r = 2\sqrt{15} [/tex]
The radius is [tex] 2\sqrt{15} [/tex]
The center is (3, 3)
Graph the following line using x and y intercepts: x-4y=4
Answer:
Step-by-step explanation:
first you would get it into y=mx+b and you would get -4y=-x+4 and simplify
y=[tex]\frac{1}{4}[/tex]x+1 and if you graph it it would look like this
A book sold 33,900 copies in its first month of release. Suppose this represents 9.1% of the number of copies sold to date. How many copies have been sold to date?
Answer:
Around 372,527 (rounding down)
Step-by-step explanation:
To solve this, divide the amount of the books sold in the month it was released (33,900) by the percentage of total copies this number represents (9.1% or .091):
33,900/.091 = 372,527.473 or 372,527 (if you round down) or 372,528 (if you round up)
I hope this helps!
-TheBusinessMan
Use the given diagram to answer the question.
Which line is the intersection of two of the planes shown?
V
X
Y
Z
Which Wine intersects one of the planes shown?
W
x
y
z
Which line has points on three of the planes shown?
V
X
Y
Z
Answer:
X Z Y
Step-by-step explanation:
The first Question is X
The second Question is Z
The third question is Y
Answer:
Q1: X
Q2: Z
Q3: Y
Step-by-step explanation:
Which is the closest estimate of the following sum? 4.038 + 5.5 + 2.17
Answer:
12
Step-by-step explanation:
Round 4.038 down to 4
Round 5.5 up to 6
Round 2.17 to 2
4+6+2 = 12
What is the scale factor & what are the x & y values?
Answer:
Scale Factor = 3
x=45
y=75
Step-by-step explanation:
Scale Factor = 60/20 = 3
x=15*3=45
Y=25*3=75
(Please show your work.)
Answer:
B
Step-by-step explanation:
So we have:
[tex]g(x)=x^2+3x-1[/tex]
To find g(5), substitute 5 for x:
[tex]g(5)=(5)^2+3(5)-1[/tex]
Square and multiply:
[tex]g(5)=25+15-1[/tex]
Add:
[tex]g(5)=40-1[/tex]
Subtract:
[tex]g(5)=39[/tex]
So, our answer is B :)
Answer: OPTION 2. 39
Step-by-step explanation:
g(x)=x²+3x-1 ⇔ Given
g(5)=(5)²+3(5)-1 ⇔ Plug the value of x in (5)
g(5)=25+15-1 ⇔ do all the operation (square, multiplication, etc.)
g(5)=40-1 ⇔ combine like term (first do the first two)
g(5)=39 ⇔ combine like term
Hope this helps!! :)
Please let me know if you have any question
Match the input values on the left with the output values on the right. y = x/2 + 1
1)3 X
2)Y 2
3)2 4
4)4.5 7
5)5.5 9
Answer:
x, y
2, 2
4, 3
7, 4.5
9, 5.5
Step-by-step explanation:
matching input / output values.
insert each values into the equation.
1. x y = (x)/2 + 1
2. 2 y = (2)/2 + 1 y = 2
3. 4 y = (4)/2 + 1 y = 3
4. 7 y = (7)/2 + 1 y = 4.5
5. 9 y = (9)/2 + 1 y = 5.5
therefore,
x, y
2, 2
4, 3
7, 4.5
9, 5.5
i hope the above solution is what you are lookin'
Find the surface area of the building - (not including what is on the ground, as if we were going to paint it)
Answer:
204.4m
Step-by-step explanation:
formula for SA of a rectangle is 2lw+2lh+2hw
so it would be 2(6x5) +2(6x3)+2(5x3)=126m
formula for SA of a triangle is bh+2ls+lb
so it would be 5x2+2(6x3.2)+6x5=78.4m
then add 78.4+126=204.4m
- + 10.8 is: rational irrational
Answer:
i think it is rational but if u guess u have a 50/50 chance
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
I believe the answer is rational because it’s a decimal and goes with the rational category.
which of the following are properties of a trapezoid? Select all that apply
Answer: b, d, e
Trapezoids are quadrilaterals (a shape with four sides) and they have two pairs of sides; one pair are parallel, and the other pair are not.
Picture shown below.
The correct properties of a trapezoid are:
They are quadrilaterals.It has one pair of opposite sides that are parallel.It has one pair of opposite sides that are not parallel.A trapezoid is a quadrilateral, which means it has four sides. One defining property of a trapezoid is that it has one pair of opposite sides that are parallel. This means that these parallel sides never intersect.
Additionally, a trapezoid has another pair of opposite sides that are not parallel, which means they do intersect. Unlike a rectangle or square, a trapezoid does not have all sides congruent.
Lastly, the diagonals of a trapezoid do not necessarily intersect at right angles. The angle formed by the intersection of the diagonals can vary in size. These properties collectively distinguish a trapezoid from other quadrilaterals and make it a unique shape.
Learn more about trapezoids here:
https://brainly.com/question/7429314
#SPJ4
The mass of a box is 300kg and its base area is 15m^2. calculate the pressure exerted by the box on the ground( gravity=9.8m/s^2)
Answer:
Explanation:
Given;
Mass of a box (m) = 300kg
Area of box (a) = 15m²
Pressure exerted by the box (P) = ?
Acceleration due to gravity (g) = 9.8m/s²
Here,
Pressure = Force / Area
= mass × acceleration due to gravity / Area [Since, force=mass×acceleration due to gravity]
= 300 × 9.8 / 15
= 2940 / 15
= 196 N/m²
Name a point coplanar to point K.
Answer:
Point N
Step-by-step explanation:
According to Euclidean geometry, two points are coplanar when they are in the same line segment. By this approach, it is clear that points K and N are part of the same line segment and, consequently, point N is coplanar to point K.
What should be subtracted from thrice the rational number -5/3 to get 1/2?
Answer:
The number to be subtracted = -11/2
Step-by-step explanation:
(3*rational number)-x=1/2
The rational number given = -5/3
Then thrice the rational number
= 3*rational number
= 3*(-5/3)
= -5
(3*rational number)-x=1/2
-5-x= 1/2
-5- 1/2= x
-11/2= x
The number to be subtracted = -11/2
I can’t figure out the answer to 4X+14
Answer:
What is the =
Step-by-step explanation:
4x would be 4x4, 16. Then you add 14!
ILL GIVE YOU BRAINLIST !
The expression f - 26 represents the year Alabama entered the Union, where fis the year Florida entered. In which year did Alabama enter the Union?
F 1819
H 1837
G 1826
J 1871
Answer:
1819
Step-by-step explanation:
given right triangle ABC with right angle C and cos A= 1/3, which of the following expressions is also equal to 1/3?
a. sinB
b. sin(90°-A)
c. sin(90°-B)
d. Both A and B are correct
Answer:
D
Step-by-step explanation:
So we know that:
[tex]\cos(A)=1/3[/tex]
To co-function identities state that:
[tex]\cos(\theta)=\sin(90\textdegree-\theta)[/tex]
Therefore, this is the same as:
[tex]\cos(A)=\sin(90\textdegree-A)[/tex]
B is correct.
Additionally, recall that in a right triangle, the two other angles must add up to 90. In other words:
[tex]A+B=90[/tex]
Subtract A from both sides:
[tex]B=90-A[/tex]
So we can make the substitution:
[tex]\sin(90-A)=\sin(B)[/tex]
Thus, A is also correct.
The correct answer is D .
Answer:D
Step-by-step explanation:
So we know that:
To co-function identities state that:
Therefore, this is the same as:
B is correct.
Additionally, recall that in a right triangle, the two other angles must add up to 90. In other words:
Subtract A from both sides:
So we can make the substitution:
Thus, A is also correct.
The correct answer is D .
What is the value of I-25I
Answer:
25
Step-by-step explanation:
Answer:
25
Use a number line.
The distance between -25 and 0 is 25.
So, that is your answer. Hope it helps!
A square has an area of 121 square feet. What is the side length of the square
Answer:
11 feet
Step-by-step explanation:
The area of a square is simply the side of the square squared. This can be written as an equation as follows:
A = l^2
where A is the area of the square and l is the length of a side of the square.
Using this, we can find the length of the side.
121 = l^2
sqrt(121) = sqrt (l^2)
11 = l
Hence, the side length of the square is 11 feet.
Cheers.
Answer:
11
Step-by-step explanation:
[tex]Area = s^2[/tex]
s = side
[tex]A =121\\121 = s^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{121}=\sqrt{x^2} \\\\11 =x\\x=11[/tex]
The graph shows the solution to a system of equations. What is that solution?
Answer:
(-2,2)
Step-by-step explanation:
Usually in these types of questions, the solution is the intersection point between the two equations. These two lines intersect at what looks like the point (-2,2) so that is the solution.
Hope this helped!
Will mark brainliest
Worth 50 points I need help with this practice test.
Answer:
first question answer: [tex]\frac{1}{12}[/tex]
second question answer: commutative property of multiplication
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ \: 1. \: \: \: \: \: \frac{1}{12} }}}}[/tex]
[tex] \boxed{ \bold{ \boxed{ \sf{2. \: \: \: \: associative \: property \: of \: multiplication}}}}[/tex]
Step-by-step explanation:
1. [tex] \sf{ \sqrt{ \frac{1}{144} } }[/tex]
⇒[tex] \sf{ \sqrt{ \frac{ {1}^{2} }{ {12}^{2} } } }[/tex]
⇒[tex] \sf{ \sqrt{ { (\frac{1}{12}) }^{2} } }[/tex]
⇒[tex] \sf{ \frac{1}{12} }[/tex]
2. Associative property of multiplication
It states that the product of three or more integers remains unchanged even if they are grouped in different orders.
Hope i helped !
Best regards! :D
The coefficient of determination in a simple linear regression model is 64%. What is the correlation level between the dependent and independent variables, assuming a negative relationship between them
Answer: -0.64
Step-by-step explanation:
We know that the coefficient of determination in a simple linear regression model is denoted by [tex]r^2[/tex], which gives the proportion of the variance in the dependent variable that is predictable from the independent variable.
Given, the coefficient of determination in a simple linear regression model is 64%.
i.e.
[tex]r^2= 0.64\\\\\Rightarrow\ r=\sqrt{0.64}=\pm 0.64[/tex]
As there is negative relation between the dependent and independent variables.
Then, the correlation coefficient = -0.64