Answer: The value of z is -1.75.
Step-by-step explanation:
Given: P(Z<z)=0.04
To find the value of z such that 0.04 of the area lies to the left of z.
We will use z-score table to get the value of z here.
IN z-score table, we have
For P(Z<-1.7507)=0.04
Hence, the value of z is -1.7507.
Its approximate value is -1.75
So the final answer is z=-1.75.
find area of shaded region by using formula a^2-b^2.
Answer:
216 cm^2
Step-by-step explanation:
15^2 -3^2 = 225 -9
= 216
The blue dot is at what value on the number line?
Answer:
[tex]8[/tex]
Step-by-step explanation:
Hope it helps you:D
*copied*
Answer:
"8"
4,6,8
Step-by-step explanation:
The formula for the circumference of a circle is C = 21
r, where r is the radius and C is the circumference. The
equation solved for r is raza
Find the radius of a circle that has a circumference of
16.
r= 4
r= 8
r = 12
r= 16
Answer:
r=8
Step-by-step explanation:
Which of the integers shown is the greatest?
Answer:
-3
Step-by-step explanation:
because as you vo more to the negative side the less.it gets and more to the positive side it gets moe
Part B
Question
Type the correct answer in the box.
The y-intercept of the parent function, f(x), is
I
The y-intercept of the child function, g(x), is
Answer:
The y-intercept of the parent function, f(x), is 0
The y-intercept of the child function, g(x), is 7
Step-by-step explanation:
Since the parent function passes through the origin, its y-intercept is 0. Once the function is translated 7 units up, its y-intercept is 7.
The solution is :
Vertex is (-2, 0)
y-intercept is 4.
What is vertex?In geometry, a vertex is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.
here, we have,
to find the function translated 2 units left, we just need to substitute the 'x' in the equation by 'x+2':
f(x) = (x+2)^2 = x2 + 4x + 4
Then, to find the vertex, we can use the formula:
x_v = -b / 2a
x_v = -4 / 2 = -2
Now, finding the y_vertex, we have:
f(x_v) = (-2)^2 + 4*(-2) + 4 = 0
So the vertex is (-2, 0)
To find the y-intercept, we make x = 0 and then find f(x):
f(0) = 0 + 0 + 4 = 4
So the y-intercept is 4.
To learn more on vertex click:
brainly.com/question/12563262
#SPJ2
complete question:
Identify the vertex and y-intercept of the graph of the function translated 2 units left from the parent function f(x) = x².
vertex: ( ? , ? )
y-intercept: ?
how do i find upper and lower quartile
please help will give brainliest
Answer:
Step-by-step explanation:
Arrange the data set in ascending order. then find the median.
Data in ascending order:
2, 5 , 6 , 7 , 8 , 11 , 15
Median = 7
Lower quartile:
Then again find the median of the numbers from the first to the number before the median. This is the lower quartile.
2 , 5, 6
Median = 5 ----> this is the lower quartile.
Upper quartile:
Then again find the median of the numbers that comes after the median to the end of the data set. This is the upper quartile.
8 , 11 , 15
Median = 11 ------> is the upper quatile
Choose the correct simplification of the expression b5 ⋅ b4.
b
b9
b20
b−1
Answer:
b20
Step-by-step explanation:
Please help!! Thank you!
Answer:
[tex]\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty[/tex]
Step-by-step explanation:
This question is asking for the function's end behavior. An even degree power function with a negative leading coefficient forms a parabola concave down. This means, its vertex represents the maximum and the parabola opens downward (towards negative infinity).
Thus,
[tex]\lim_{x\rightarrow \infty}f(x)=-\infty,\\\lim_{x\rightarrow-\infty}f(x)=-\infty[/tex]
This corresponds with the first answer choice listed:
[tex]\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty[/tex]
You and a friend decide to take a road trip. You drive an average speed of 70 mph and your friend drives an average of 75 mph. You want to drive at least 500 miles per day. You also plan to spend no more than 10 hours driving each day. Which of the following is a system of linear inequalities that represents this situation? Let x = number of hours you drive and let y represent the number of hours your friend will drive.
Given:
your speed = 70 mph
Your friend's speed = 75 mph
You want to drive at least 500 miles per day.
You also plan to spend no more than 10 hours driving each day.
To find:
The system of linear inequalities that represents this situation.
Solution:
Let x be the number of hours you drive and let y represents the number of hours your friend will drive.
You also plan to spend no more than 10 hours driving each day.
[tex]x+y\leq 10[/tex]
Your speed is 70 mph and your friend's speed is 75 mph. So, the distance covered in x and y hours are 70x miles and 75y miles respectively.
You want to drive at least 500 miles per day. So, the total distance must be greater than or equal to 500.
[tex]70x+75y\geq 500[/tex]
[tex]5(14x+15y)\geq 500[/tex]
Divide both sides by 5.
[tex]14x+15y\geq 100[/tex]
Therefore, the required system of inequalities has two inequalities [tex]x+y\leq 10[/tex] and [tex]14x+15y\geq 100[/tex].
Expand the following:
a) 2(x+3)
b) 512x-4)
C) 4(2x + 1)
d) 6 x - 4y
Answer:
A.2x+6
B.60x-20
C.8x+4
D.6x-24y
Answer the questions
Answer:
c) x= 15
d) x= 5
Step-by-step explanation:
c)4x + 5+ 7x +10=180
solve it like usually
for d) 3x + 15+12x=90
Answer:
15 and 3
Step-by-step explanation:
the first figure total sum of angles is 180 since it is a straight line
the second figure is a right ane(90) so sum of angles is 90
what is the solution to this equation?
5x-4+3x=36
A. x=16
B. x=5
C. x=20
D. x=4
B. x = 5
tip : if in a rush just plug in the number and see if its true
8x - 4 = 36
x = 5
i will brainliest
avoid spam
Express each of the following percentages as a fraction and simplify it.
(i) 25% (ii) 40% (iii) 16% (iv) 150%
(v) 120% (vi) 58% (vii) 32% (viii) 175%
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{25\%=\dfrac{25}{100}=\dfrac{1}{4} }[/tex] [tex]\sf{ 40\%=\dfrac{40}{100}=\dfrac{2}{5} }[/tex] [tex]\sf{16\%=\dfrac{16}{100}=\dfrac{4}{25} }[/tex][tex]\sf{150\%=\dfrac{150}{100}=\dfrac{3}{2} }[/tex][tex]\sf{120\%=\dfrac{120}{100}=\dfrac{6}{5} }[/tex][tex]\sf{58\%=\dfrac{58}{100}=\dfrac{29}{50} }[/tex][tex]\sf{32\%=\dfrac{32}{100}=\dfrac{8}{25} }[/tex][tex]\sf{175\%=\dfrac{175}{100}=\dfrac{7}{4} }[/tex][tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\hookrightarrow\sf{ 25\% =\dfrac{25}{100}=\boxed{\bf \dfrac{1}{4} }} \\\hookrightarrow\sf{ 40\% =\dfrac{40}{100}=\boxed{\bf \dfrac{2}{5} }} \\\hookrightarrow \sf{16\%=\dfrac{16}{100}=\boxed{\bf\dfrac{4}{25}} } \\ \hookrightarrow\sf{150\%=\dfrac{150}{100}=\boxed{\bf\dfrac{3}{2} }} \\ \hookrightarrow\sf{120\%=\dfrac{120}{100}=\boxed{\bf\dfrac{6}{5} }} \\\hookrightarrow \sf{58\%=\dfrac{58}{100}=\boxed{\bf\dfrac{29}{50}} } \\\hookrightarrow \sf{32\%=\dfrac{32}{100}=\boxed{\bf\dfrac{8}{25} }} \\ \hookrightarrow\sf{175\%=\dfrac{175}{100}=\boxed{\bf\dfrac{7}{4}} } \\ [/tex]
Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?
1/9
9
-9
-1/9
Pls answer
Answer:
[tex]\boxed{\sf a = 9 }[/tex]
Step-by-step explanation:
Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,
[tex]\sf\longrightarrow 3x - 2y +7=0 [/tex]
[tex]\sf\longrightarrow 6x +ay -18 = 0 [/tex]
Step 1 : Convert the equations in slope intercept form of the line .
[tex]\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}[/tex]
and ,
[tex]\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a} [/tex]
Step 2: Find the slope of the lines :-
Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,
[tex]\sf\longrightarrow Slope_1 = \dfrac{3}{2} [/tex]
And the slope of the second line is ,
[tex]\sf\longrightarrow Slope_2 =\dfrac{-6}{a} [/tex]
Step 3: Multiply the slopes :-
[tex]\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1 [/tex]
Multiply ,
[tex]\sf\longrightarrow \dfrac{-9}{a}= -1[/tex]
Multiply both sides by a ,
[tex]\sf\longrightarrow (-1)a = -9 [/tex]
Divide both sides by -1 ,
[tex]\sf\longrightarrow \boxed{\blue{\sf a = 9 }} [/tex]
Hence the value of a is 9 .
Whats his mistake and the correct awnser
Answer:
θ ≈ 35.7°
Step-by-step explanation:
His mistake was in using the wrong trig. ratio
Instead of using cosine he should have used the sine ratio
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{12}[/tex] , then
θ = [tex]sin^{-1}[/tex] ([tex]\frac{7}{12}[/tex] ) ≈ 35.7° ( to the nearest tenth )
use a double angle or half angle identity to find the exact value of each expression
θ is given to be in the fourth quadrant (270° < θ < 360°) for which sin(θ) < 0 and cos(θ) > 0. This means
cos²(θ) + sin²(θ) = 1 ==> sin(θ) = -√[1 - cos²(θ)] = -3/5
Now recall the double angle identity for sine:
sin(2θ) = 2 sin(θ) cos(θ)
==> sin(2θ) = 2 (-3/5) (4/5) = -24/25
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If x+2 is a factor of x^3-6x^2-11x+k then k=
Answer:
k=10
Step-by-step explanation:
Brainliest please~
Answer:
K=10
Step-by-step explanation:
Correct on Plato
Dan is on his way home in his car. He has driven 10 miles so far, which is one-half of the way home. What is the total length of his drive?
Answer:
20 miles
Step-by-step explanation:
10miles × 2 = 20miles
Algebra is hard for me
Answer: Third Choice. 9
Step-by-step explanation:
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given
4x + 2y -1
x = 3, y = -1
Substitute the value of x and y
4(3) + 2(-1) - 1
Simplify by multiplication
12 - 2 - 1
Simplify by subtraction
9
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
Hello!
4x= 4*3 = 12
2y = 2*-1 = -2
12-2 -1= 9
For a school project, 6 students are working on a skit that has 4 different roles. Each role can be played by anyone, and no student can play more than one role. How many different casts are possible?
Answer:
15
Step-by-step explanation:
[tex]=\frac{6!}{4!\left(6-4\right)!}[/tex]
Answer:
Maybe you can add roles, like managing, or narrating?
Step-by-step explanation:
What is the length of side s of the square shown below? 450 90" A. 4-3 B. 1 C. 4 D. 2 E F. 2.5
Answer:
E
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
s² + s² = 2²
2s² = 4 ( divide both sides by 2 )
s² = 2 ( take the square root of both sides )
s = [tex]\sqrt{2}[/tex]
Answer:
E.
Step-by-step explanation:
we know the diagonal of the square : 2
as you can see in the picture, there is a right-angled triangle with the baseline of Hypotenuse being the diagonal, and 2 times s being the 2 sides.
that means we can use Pythagoras to calculate s :
2² = s² + s²
4 = 2s²
2 = s²
s = sqrt(2)
Can someone please help, I'll give out 20 points !
Question - Where is the blue point on the number line?
Answer:
-6
Step-by-step explanation:
The number line is created by skip counting of 2.
So, -2 , then -4 and then -6.
So, blue dotted point is (-6)
find the value of x
4x - 7 = 3x + 9
x = 16
they're equal because they are opposites by the vertex.
hope it helps :)
In ΔFKR, which side is included between ∠F and ∠R?
Answer:
First choice
Step-by-step explanation:
It gives you the endpoints of the included side, F and R. Therefore, the side is FR or RF.
When a boy stands on the bank of a river and looks across to the other bank, the angle of depression is 12°. If he climbs to the top of a 10 ft tree and looks across to other bank, the angle of depression is 15°. What is the distance from the first position of the boy to the other bank of the river? How wide is the river? Give your answers to the nearest foot.
Please look at the scanned picture.
Fine FG , given that line HF is perpendicular bisector or EG
Answer:
FG = 7
Step-by-step explanation:
We'll begin by calculating HF. This can be obtained by using the pythagoras theory as illustrated below:
EF = 7
EH = 3
HF =?
EF² = EH² + HF²
7² = 3² + HF²
49 = 9 + HF²
Collect like terms
49 – 9 = HF²
40 = HF²
Take the square root of both side
HF = √40
Finally, we shall determine FG. This can be obtained as follow:
GH = 3
HF = √40
FG =.?
FG² = GH² + HF²
FG² = 3² + (√40)²
FG² = 9 + 40
FG² = 49
Take the square root of both side
FG = √49
FG = 7
No idea how to do
[tex]\frac{4r + 20}{r + 5}[/tex]
when r ≠ 5 ?
Factorize the numerator:
4r + 20 = 4r + 4×5 = 4 (r + 5)
I think you meant to say r ≠ -5, which means r + 5 ≠ 0, so that the denominator is never zero and so the expression is defined (no division by zero). This lets you cancel the factor of r + 5 in the numerator with the one in the denominator:
(4r + 20)/(r + 5) = 4 (r + 5)/(r + 5) = 4
If p =(3x+1) and q = ( 3x-1),show that : pq+1 =x2
Answer:
See explanation
Step-by-step explanation:
It should be 9x² not x²
p = (3x + 1) and q = (3x - 1)
pq + 1 = (3x + 1)(3x - 1) + 1
= (9x² - 3x + 3x - 1) + 1
= (9x² - 1) + 1
= 9x² - 1 + 1
= 9x²
Therefore,
pq + 1 = 9x²
pls answer fast i need help
Do it by your self ok ???
Given sin
=
=
V23 and tan o
find cos 0.
23
11 )
12
?
COS 0 =
TO
Answer: [tex]\frac{11}{12}[/tex]
Step-by-step explanation:
Use trigonometry (shown in image below) to find the 3 side-lengths:
The side opposite of θ = [tex]\sqrt{23}[/tex]The base side adjacent to θ = 11The hypotenuse = 12According to right triangle trigonometry:
cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Substitute in the values:
cos θ = [tex]\frac{11}{12}[/tex]