Answer:
x = 8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Cancel the log from both sides and you'll get:
[tex]3x + 2 \: = 4x - 6 \: \\ 6 + 2 = 4x - 3x \: \\ x = 8[/tex]
A psychiatrist is interested in finding a 90% confidence interval for the tics per hour exhibited by children with Tourette syndrome. The data below show the tics in an observed hour for 13 randomly selected children with Tourette syndrome. The population standard deviation is σ=4.08.
Required:
a. To compute the confidence interval use a, z or t distribution?
b. With 90% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ______ and _______ .
Answer:
a) z-distribution is used, as we have the standard deviation for the population.
b) Between [tex]\overline{x} - 1.86[/tex] and [tex]\overline{x} + 1.86[/tex], in which [tex]\overline{x}[/tex] is the sample mean of tics per hour.
Step-by-step explanation:
a. To compute the confidence interval use a, z or t distribution?
We have the standard deviation for the population, and thus, the z-distribution is used.
b. With 90% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ______ and _______ .
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{4.08}{\sqrt{13}} = 1.86[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is [tex]\overline{x} - 1.86[/tex]
The upper end of the interval is the sample mean added to M. So it is [tex]\overline{x} + 1.86[/tex]
Between [tex]\overline{x} - 1.86[/tex] and [tex]\overline{x} + 1.86[/tex], in which [tex]\overline{x}[/tex] is the sample mean of tics per hour.
8 divided by two -thirds of x. PLS SOLVE THIS FOR ME ASAP
Answer:
12 [tex]x[/tex]
Step-by-step explanation:
8 divided by two-thirds of x is
⇒ 8/2/3 × [tex]x[/tex]
⇒ 8 × (3/2) [tex]x[/tex]
⇒ 8×3 [tex]x[/tex] / 2
⇒ 24 [tex]x[/tex]/ 2
∴ 12 [tex]x[/tex]
Find the zeros of f(x)=x(x−2)(x+5)
four plus negative two divided by negative three plus three
Answer:
23/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify and set up
4 + -2 ÷ -3 + 3
Step 2: Evaluate
Divide: 4 + 2/3 + 3Add: 14/3 + 3 23/3After a recent trip to the zoo, students were asked to write a statement about the big cats at the zoo.Which of the statements uses categorical data?
the answer is I don't know
Which of the following represents the range of the graph of F(x) below?
Tamika works in a shoe store and is paid a 12%
commission on her sales. In January her sales total
was $3740. To the nearest dollar, how much did
Tamika earn in commission for January?
Explain correctly. No nonsense, please.
Thank you
Line DE is a_______
Answer:
Tangent
Step-by-step explanation:
Tangent - A line that intersects the circle at exactly one place
A baker used 5 7/10 bags of flour one week. The same baker used 7 3?10 bags the next week. How many more bags of flour did the baker use the second week than the first week?
Answer:
B. 1 6/10
Step-by-step explanation:
”How many more” means find the difference.
So first you convert the fractions:
5 7/10= 57/10
7 3/10=73/10
Subtract the two converted fractions and you get a difference of 16/10 then you will simply 16/10, which becomes 1 6/10.
The initial condition for a one-dimensional transient conduction problem is the specification of:_______.
A. the time at which the solution to the problem starts.
B. the properties at the start of the solution.
C. the temperature at the initial time throughout the domain.
D. None of the above
Answer:
C
Step-by-step explanation:
help please for my math!!!!!!!!!!!
Answer:
perimeter for rectangle: (x-2+x+2)×2=4x
perimeter for triangle : 2x-8+2x-8+x+6
=5x-10
The question said both geometry has same perimeter,so we have equation :
4x=5x-10
=>x= 10
put x in triangle's perimeter: 2×10-8+2×10-8+10+6
= 40
Step-by-step explanation:
the answer is C, hope you understand it
Find the missing probability.
Answer: d
Step-by-step explanation:
Select the correct answer. describe the zeros of the graphed function
Answer:
The zeroes are at (-2, 0), (0, 0) and (2, 0).
The (0, 0) is a double root as the graph just touches the x axis at (0, 0).
The zero at (0, 0) is sometimes referred as x = 0 (multiplicity 2).
I think the duplicate roots are counted as 2 distinct roots but im not sure.
So the answer is either a or c.
Step-by-step explanation:
The zeroes are the points where the graph cuts the x axis.
Answer:
a
Step-by-step explanation:
convert 0.5kg to ounces
Answer:
17.6369809748oz
Step-by-step explanation:
hope this helps
Answer:
17.637
Step-by-step explanation:
Help me PLEASEEEEEEEEEEEEE
Answer: d
Step-by-step explanation:
its d
pls help.. person with correct answer will be marked brainliest
Answer:
x = 43.4°
Step-by-step explanation:
when two straight line intersects, angles directly opposite of each other has the same value.
helppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
draw the net
there are 3 squares, each with a L = 5m and W = 1.5 +1.5m
2 triangles with a base of 1.5 + 1.5 and a height of 2.6m
Area of a rectangle = L x W
" " Triangle = 0.5 x b x h
so youd write and solve 3 rectangles x ( 5 m x 1.5 + 1.5) + 2 triangles x (0.5 x (1.5 +1.5) x 2.6m)
also look up the equation for surface area for this shape. Should give you the same thing. This method makes it more intuitive
Reba kicks a soccer ball off the ground and in the air, with an initial velocity of 25 feet per second. Using formula H(t) = - 1612 + vt + s, what is the maximum height the soccer ball reaches?. Using the formula HC -1662 + vt +s, what is the maximum height the soccer ball reaches?
Answer:
The maximum height the soccer ball reaches is 9.77 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Reba kicks a soccer ball off the ground and in the air, with an initial velocity of 25 feet per second.
The formula for the height is:
[tex]h(t) = -16t^2 + v(0)t + h(0)[/tex]
In which v(0) is the initial velocity and s(0) is the initial height.
Initial velocity of 25 feet per second means that [tex]v(0) = 25[/tex]
Kicked off the ground means that [tex]h(0) = 0[/tex]. So
[tex]h(t) = -16t^2 + 25t[/tex]
Which is a quadratic equation with [tex]a = -16, b = 25, c = 0[/tex].
The maximum value is:
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
In which
[tex]\Delta = b^2-4ac = 25^2 - 4(-16)(0) = 625[/tex]
[tex]y_{v} = -\frac{\Delta}{4a} = \frac{625}{4(16)} = 9.77[/tex]
The maximum height the soccer ball reaches is 9.77 feet.
A theater has sold 70% of the tickets
for an upcoming show. If it has sold
63 tickets so far, how many tickets
are left?
The table and boxplots below shows summary statistics for
two distributions of calories in 10 brands of beef hot dogs
and 10 brands of turkey hot dogs.
Answer:
Step-by-step explanation:
help me plz and thanks 74%of 41
Answer:
30.34
Step-by-step explanation:
easy math pppppppppp
Can someone answer this?
I need help asap. Math Writing Expressions.
Answer:
1:
6y-3+y
D =7y-3
2.
50C
3.
6÷K
4.
7-x
5.
8p-4p
6.
2g-3
7.
1-7/p
D.(p-7)/p
WILL GIVE U BRAINLIEST
What is the incenter of a triangle and what is a special property of it?
A. The point within a triangle where all three angle bisectors intersect. This is equidistant from the sides of a triangle
B. The point where all three medians of a triangle intersect. Each median will be divided and in a 1/3 and 2/3 proportionality
C. The point within a triangle where all three perpendicular bisectors of the sides intersect. This is equidistant from the angles of a triangle.
D. The point where all three altitudes of the triangle intersect
Answer:
A. The three angle bisectors of the angles of a triangle meet in a single point, called the incenter .
B. All triangles have three medians, which, when drawn, will intersect at one point in the interior of the triangle called the centroid
C. A point where three or more lines intersect is called a point of concurrency.
D. The three altitudes of a triangle intersect at the orthocenter,
Joe swims 3 m North and then 5 m South. What is his distance? What is his displacement?
Swim
a) Distance: 8 m, Displacement: 2 m North.
b) Distance: 8 m, Displacement: 2 m South
c) Distance: 2 m, Displacement: 8 m North
d) Distance: 2 m, Displacement: 8 m South.
Answer:
Option "B" is the correct answer to the following question.
Step-by-step explanation:
Given:
Joe swim = 3 meter north
Jow swim = 5 meter south
Find:
Distance travel by Joe
Displacemnet by Joe
Computtaion:
The overall travel of an item without consideration to direction is called distance.
So,
Distance travel by Joe = 3 + 5
Distance travel by Joe = 8 meter
The term "displacement" refers to a shift in an object's location.
Displacemnet by Joe = 5 - 3
Displacemnet by Joe = 2 meter South
Consider the function f (x) = StartFraction x squared + 11 x minus 12 Over x minus 1 EndFraction.
Which statement describes the discontinuity at x = 1?
a jump discontinuity that cannot be removed by extending the function
an infinite discontinuity that cannot be removed by extending the function
a removable discontinuity that can be removed by extending the function to include f(1) = 13
a removable discontinuity that can be removed by extending the function to include f(1) = –11
IT'S C!
Answer:
"a removable discontinuity that can be removed by extending the function to include f(1) = 13"
Step-by-step explanation:
We have the function:
[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1}[/tex]
Here we have a problem when x = 1, because that makes the denominator to be equal to zero.
For now, let's see what happens to the numerator when x = 1
1^2 + 11*1 - 12 = 12 - 12 = 0
So x = 1 is a root of the numerator.
Let's find the other root of the numerator, here we can use Bhaskara's formula:
[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*1*(-12)} }{2*1} = \frac{-11 \pm 13}{2}[/tex]
Then the two roots are:
x = (-11 + 13)/2 = 1
x = (-11 - 13)/2 = -12
And remember that a quadratic equation:
y = a*x^2 + b*x + c
With roots p and k, can be written as:
y = a*(x - p)*(x - k)
Then we can rewrite our numerator as:
1*(x - 1)*(x - (-12)) = (x - 1)*(x + 12)
Replacing that in the equation for f(x), we get:
[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1} = \frac{(x - 1)*(x + 12)}{(x - 1)} = \frac{x - 1}{x -1} *(x + 12)[/tex]
f(x) = x + 12
And, when evaluated in x = 1, we get:
f(1) = 1 + 12 = 13
Then the correct option is:
"a removable discontinuity that can be removed by extending the function to include f(1) = 13"
Answer:
C
Step-by-step explanation:
I said so
Find the mid point of (7,-8) and (-1,6)
Answer:
(3, -1)
Step-by-step explanation:
(3,-1)
I think this is the answer hope it helps!!
Find the measures of angle 1 and 2.
110°
80°
Answer:
110 and 100
Step-by-step explanation:
Angle 2 will have the same messurement as the one across, so 110
Angle 1 will be the difference between 180 and 80, so 100
What scale factor was used to transform f(x) into g(x)?
Answer:
The scale factor is k = 4.
Step-by-step explanation:
In the graph, we can see that g(x) is a dilation from f(x)
And a general vertical dilation of scale factor k is written as:
g(x) = k*f(x)
So here we want to find the value of k.
In the graph, we can see that:
f(1) = 1.5
f(3) = 0.5
Now, the values of g(x) in those x-values are:
g(1) = 6
g(3) = 2
And we must have:
g(1) = k*f(1)
g(3) = k*f(3)
we should get the same value of k in both equations, now let's replace the values of the functions:
For the ones evaluated in x = 1, we get:
6 = k*1.5
6/1.5 = k = 4
for the cases evaluated in x = 3, we get:
2 = k*0.5
2/0.5 = k = 4
In both cases we got the same value of k, so we can conclude that the scale factor from f(x) into g(x) is k = 4
Which function is not graph correctly? A. y=cos x. B. y=cot x. C. y=sin x. D.y=tan x. (GRAPHS in photo)
Answer:
We will begin with the graph of the tangent function, plotting points as we did for the sine and cosine functions. Recall that
tan
x
=
sin
x
cos
x
The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on
−
π
2
to
π
2
, we can see the behavior of the graph on one complete cycle. If we look at any larger interval, we will see that the characteristics of the graph repeat.
We can determine whether tangent is an odd or even function by using the definition of tangent.
tan
(
−
x
)
=
sin
(
−
x
)
Step-by-step explanation:
Answer:
it is y=sin x
Step-by-step explanation:
i got it right on the test