Helppppp
A. 8/15
B. 8/17
C. 15/8
D. 15/17
Answer:
D
Step-by-step explanation:
sin theta is equal to perpendicular by hypotenuse
here perpendicular is equal to 15 and base is equal to 8 therefore hypotenuse will be equal to 17
on putting on putting the value of perpendicular by hypotenuse we get 15 by 17 as sin theta
Answer:
Step-by-step explanation:
hypotenuse = √(15²+8²) = √289 = 17
sinθ = (leg opposite θ)/hypotenuse = 15/17
Re-write the following expression using ADDITION ONLY:
12- 3+16 - 37 - (-20)
Answer:
12- 3+16 - 37 -( 20)
=8
Step-by-step explanation:
Two negatives are a positive , this really helps
A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.
Answer:
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
Step-by-step explanation:
For each coil, there are only two possible outcomes. Either it is good, or it is not. Since the coil taken is replaced, the probability of choosing a good coil on a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
88 out of 100 are good:
This means that [tex]\pi = \frac{88}{100} = 0.88[/tex]
Find the probability of getting two good coils when two coils are randomly selected.
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.88)^{2}.(0.12)^{0} = 0.7744[/tex]
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
Someone help me please
Answer:
(x + 10)(2x + 5)
Step-by-step explanation:
Given
2x² + 25x + 50
Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)
ac = 2 × 50 = 100 and b = 25
The factors are + 20 and + 5
Use these factors to split the x- term
2x² + 20x + 5x + 50 ( factor the first/second and third/fourth terms )
= 2x(x + 10) + 5(x + 10) ← factor out (x + 10) from each term
= (x + 10)(2x + 5)
calculate the exact value of 1 1/3- 3 5/6+ 5 1/9
[tex]\displaystyle\bf 1\frac{1}{3} -3\frac{5}{6} +5\frac{1}{9} =5+1-3+\frac{1^{/6}}{3} +\frac{1^{/2}}{9} -\frac{5^{/3}}{6}\\\\\\\ =3+\frac{6+2-15}{18} =3-\frac{7}{18}=\boxed{2\frac{11}{18} }[/tex]
The graph of quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the functions equation
Hello,
Answer D
-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k
(-2,18) is a point of the curve:
18=k*(-2)²-8k-32k
-36k=18
k= - 1/2
Answer:
Have a great rest of ur day :)
Step-by-step explanation:
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Answer:
Step-by-step explanation:
If the product of 2 integers is -12, then that equation looks like this:
xy = -12
If the sum of those same 2 integers in 1, then that equation looks like this:
x + y = 1
Let's solve the second equation for x and plug it into the first equation. Solving the second equation for x gives us
x = 1 - y and plug that into the first equation in place of x to get:
(1 - y)y = -12 and
[tex]y-y^2=-12[/tex] Now move everything over to one side and factor to find y:
[tex]-y^2+y+12=0[/tex] and the 2 values for y are
y = -3 and y = 4. Let's see what happens when we solve for x.
If xy = -12 and y is -3:
x(-3) = -12 so
x = 4
If xy = -12 and y is4:
x(4) = -12 so
x = -3
So it looks like the 2 integers are -3 and 4
what is the slope of the line perpendicular to the line through the points (-1,6) and (3,-4)
Answer:
The slope of the perpendicular line is 2/5.
Step-by-step explanation:
We want to find the slope of the line that is perpendicular to the line that passes through the points (-1, 6) and (3, -4).
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
Find the slope of the original line:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-4)-(6)}{(3)-(-1)}=\frac{-10}{4}=-\frac{5}{2}[/tex]
The slope of the perpendicular line will be its negative reciprocal.
Thus, the slope of the perpendicular line is 2/5.
The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.
Step-by-step explanation:We have to find the slope of the line perpendicular to the line through the points (-1,6) and (3,-4).
using the formula;-
m = (y²-y¹) / (x²-x¹)
Where,
m = slope ( y² - y¹) = ( -4 -6 )( x² - x¹) = ( 3 - 1)plug the value and simplify.
m = ( (-4 ) - 6)/(3 - (- 1)
m = - 10 / 4
m = - 5/2
Hence, The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.
Choose the correct answer from the given four options: In an AP, if d = –4, n = 7, an = 4, then a is *
6
20
7
28
[tex]a = 28.[/tex]
Step-by-step explanation:
[tex] {a}n = a + (n - 1)d[/tex]
[tex]4 = a + (7 - 1)( - 4)[/tex]
[tex]4 = a + 6( - 4)[/tex]
[tex]4 = a + ( - 24)[/tex]
[tex]4 = a - 24[/tex]
[tex]4 + 24 = a[/tex]
[tex]28 = a[/tex]
(OR)
[tex]a = 28.[/tex]
The surface area of the cube shown
A microwave oven has a capacity of 1.75 ft³. The interior of the microwave is 18in wide and 14in deep. What is the height of the interior of the microwave, to the nearest tenth of a foot?
Answer:
Step-by-step explanation:
This is a volume problem as indicated by the exponent on the unit feet. Cubed is a volume thing, whereas squared is an area thing, etc.
The volume for a box-shaped microwave is
V = l x w x h and we are given the length and the width, but those are in inches and they need to be in feet. That's the tricky part here...catching the inconsistency in the units!
18 inches = 1.5 ft and
14 inches = 7/6 feet
Filling in:
1.75 = 1.5 x 7/6 x h and
1.75 = 1.75h so
h = 1 foot
Why did U.S. leaders decide to create the Federal Reserve?
A. Economic panics showed that the banking system was not stable.
B. The United States needed to have a single type of currency.
C. Small banks requested additional government oversight.
D. State banks needed the power to create their own currencies.
Answer:
A
Step-by-step explanation:
A central bank was needed to oversee monetary policy
Answer:A
Step-by-step explanation:
I did the test
pls help w this
√2x+1 = 4
In the equation above, what is the value of 2x +1?
A) 3/2
B) 2
C) 4
D) 16
Answer:
[tex]\boxed {\boxed {\sf D. \ 16}}[/tex]
Step-by-step explanation:
We are given the following equation and asked to solve for 2x+1.
[tex]\sqrt {2x+1}=4[/tex]
We want to isolate the entire expression of 2x+1. Notice that it is under the square root. If we want to isolate it, we have to perform the inverse operation. The inverse of a square root is a square, so we square both sides of the equation.
[tex](\sqrt{2x+1} )^2= (4)^2[/tex]
[tex]2x+1=(4)^2[/tex]
[tex]2x+1=16[/tex]
We could continue solving for x, then plug the answer back into the expression 2x+1. However, hopefully you notice that we already found the answer!
We only had to do one step to find the answer, but you could complete many other steps to get the same answer:
[tex]2x+1-1=16-1\\2x=15\\2x/2=15/2\\x= 7.5[/tex] (Solve for x)
[tex]2x+1\\2(7.5)+1\\15+1\\16[/tex] (Plug the answer in for x)
The value of 2x+1 is 16 and the correct answer is 16.
Length of a rope is 5 metre. What does it mean?
Step-by-step explanation:
Length of a rope is 5 meter. it means the rope is 5 meter long..
hope it helps.stay safe healthy and happy...this is so ez guys cmon
Answer:
there are 6 units
hope this help
What is the slope of the line? What is the y-intercept of the line? y = 1/2x + 7
Answer:
slope= 1/2
y-intercept= 0,7
Answer:
slope = 1/2 or 0.5, the y-intercept is (0,7)
Step-by-step explanation:
What is the scale factor from ABC to DEF?
Within similar triangles, the angles are the same. So, we need to look at the side lengths then.
72 to 12
66 to 11
42 to 7
In each pair of corresponding side lengths, the original side length from triangle ABC is divided by 6 (or multiplied by 1/6) to get the smaller side length on triangle DEF.
The scale factor from ABC to DEF is 1/6.
Hope this helps!
In - ABC shown below, side AC is extended to point D with mZ DAB = (180 – 3x) °,
mZ B = (6x – 40) °, and m2 C = (x + 20).
Answer:
<BAC = 36degrees
Step-by-step explanation:
Find the diagram attached
The sum of the interior angle is equal to the exterior. Hence;
<B + <C = <DAB
6x+40 + x+20 = 180 - 3x
7x+60 = 180 - 3x
7x+3x = 180 - 60
10x = 120
x = 120/10
x = 12
Get <BAC
<BAC = 180 - (180-3x)
<BAC = 180-180+3x
<BAC = 3x
<BAC = 3(12)
<BAC = 36degrees
Is (0,0) a solution of the graphed inequality?
Choose 1 answer:
Yes
No
Answer:
no..........................
A triangle is rotated 90 about the origin. Which rule describes the transformation?
Answer:
1st option
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- x, - y )
Answer:
your answer will be the first option
Step-by-step explanation:
edge 2021
The inverse of the relation y = 2x + 3 can be obtained graphically by:
The inverse of a function can be determined graphically by reflecting the graph over line y =x, the correct option is D.
What is an Inverse Function?An inverse of a function can be determined by interchanging variables in the function, y is interchanged by x in an f(x,y) function and then the equation is solved for y to determine the inverse of a function.
The equation is y = 2x+3
The inverse of a function is determined graphically the graph will be reflected in the line y =x.
The graph is attached with the answer.
Therefore, the correct option is D.
To know more about Inverse Function
https://brainly.com/question/2541698
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Factorise 2ab+2ac. Please
Answer:
2a(b+c)
Step-by-step explanation:
Find HCF (2a)
Then factorise
Answer:
2a(b+c)
.............
Mathematically verify the outlier(s) in the data set using the 1.5 rule.
7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19
1. 7 & 19 are outliers.
2. 7 & 8 are outliers.
3. 7, 8, & 19 are outliers.
4. There are no outliers.
Given:
The data values are:
7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19
To find:
The outliers of the given data set.
Solution:
We have,
7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19
Divide the data set in two equal parts.
(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)
Divide each parenthesis in two equal parts.
(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)
Now,
[tex]Q_1=\dfrac{11+13}{2}[/tex]
[tex]Q_1=\dfrac{24}{2}[/tex]
[tex]Q_1=12[/tex]
And
[tex]Q_3=\dfrac{16+16}{2}[/tex]
[tex]Q_3=\dfrac{32}{2}[/tex]
[tex]Q_3=16[/tex]
The interquartile range is:
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=16-12[/tex]
[tex]IQR=4[/tex]
The data values lies outside the interval [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex] are known as outliers.
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)][/tex]
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6][/tex]
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[6,22][/tex]
All the data values lie in the interval [6,22]. So, there are no outliers.
Hence, the correct option is 4.
find x
(4x - 3) – ( x + 5) = 3(10 - x)
please.....
Answer: 19/3
Step-by-step explanation:
[tex]4x+3-x-5=30-3x\\\\3x-8=30-3x\\\\6x-8=30\\\\6x=38\\\\x=\frac{19}{3}[/tex]
I NEED ANSWER ASAP WILL GIVE BRAINLIEST(WORTH 30 POINTS)
Which function is represented by the graph?
A. f(x) = -2|x|+ 1
B. f(x) = -1/2|x|+1 C. f(x) = -2|x + 1|
D. f(x) =-1/2|x-1|
Answer: b
Step-by-step explanation:
what expression is equivalent to 96+18
Answer:
114
Step-by-step explanation:
114
If f(n) = 4n + 7 and g(n) = 2n + 3, find (g - f)(n).
2(n-4)
4- 2n
-2n - 4
2n + 4
Step-by-step explanation:
=(g-f)(n)
=4n+7-2n-3
=2n+4
What is the product?
(7x^2y^3)(3x^5y^8)
10x^7+y^11
10X^10y^24
21x^7y^11
21x^10y^24
Answer:
21x^7y^11.
Step-by-step explanation:
:D
A rectangle's width is one-fifth it's length, and it's perimeter is 72m.Find the dimensions of the rectangle
Which equation is NOT true?
Answer:
[tex]{ \bf{15x + 30 = 180}}[/tex]