Answer: a) Unimodal and symmetric
b) 0.26
c) 0.038
Step-by-step explanation:
Given: Sample size of investors (n)= 131
True proportion of smartphone users(p) =26%
a) Since sampling distribution for the sample proportion is approximately normal when n is larger.
Normal distribution is Unimodal and symmetric.
So correct option : Unimodal and symmetric
b) mean of this sampling distribution = p = 0.26
c) standard deviation of the samplingdistribution = [tex]\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26\times (1-0.26)}{131}}=\sqrt{0.00146870229008}[/tex]
[tex]=0.0383236518364\approx0.038[/tex]
Find the area of the semicircle please .
Answer:
39.25
Step-by-step explanation:
the formula is a = (3.14 × [tex]r^{2}[/tex]) / 2
the equation is a = (3.14 ×[tex]5^{2}[/tex]) / 2
5 is the radius
1. [tex]5^{2}[/tex] = 25
2. 3.14 × 25 = 78.5
3. 78.5 / 2 = 39.25
I hope this helped! :)
Answer:
12.5π or 39.25
Step-by-step explanation:
10 is diameter, we first find the radius which is 10/2 = 5 and so we know the area formula of the circle is πr^2 so 5^2 is 25 and then there's a π at the end so 25π, but it's a semicircle so 25π/2 which is 12.5π, if it's in base 10 (decimal form) then simply do 12.5 x 3.14 = 39.25
2.
Which polynomial function gets larger and larger in the negative direction as x gets
larger and larger in the negative direction?
a. f(x) = 5x2 – 2x + 1
b. f(x) = 6x3 + 4x2 – 15x + 32
c. f(x) = 7x4 – 2x3 + 3x2 + 8x – 10
d. f(x) = 8x6 + 1
Given:
x gets larger and larger in the negative direction.
To find:
The polynomial function which gets larger and larger in the negative direction.
Solution:
In options a, c and d, degree of polynomials are even and leading coefficient is positive. So,
[tex]f(x)\to \infty\text{ as }x\to -\infty[/tex]
In option b, degree of polynomial is odd and leading coefficient is positive. So,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
Therefore, the function in option b, [tex]f(x)=6x^3+4x^2-15x+32[/tex] gets larger and larger in the negative direction as x gets larger and larger in the negative direction.
Hence, the correct option is b.
We want to see which polynomial function gets larger and larger as the variable increases in the negative direction. We will see that the correct option is d: f(x) = 8x^6 + 1
Here you need to remember two things.
As the larger the exponent is, the faster the polynomial grows.
When we evaluate a negative number in an even exponent, the outcome is always positive.
Then the polynomials that get larger and larger as x increases in the negative direction are all the polynomials with a even leading exponent, particularly, the one that increases faster is the one with the largest leading exponent, which is:
d. f(x) = 8x^6 + 1
If you want to learn more, you can read:
https://brainly.com/question/23792383
Tell whether each number is divisible by 2, 3, 5, 6, 9, and/or 10.
a. 8,435
b. 981
Step-by-step explanation:
a. 8,435 is divisible by 5
b. 981 is divisible by 3 and 9
Find the midpoint (-4,6) (5,-9)
The midpoint would be (1/2, -3/2). Hope this helps! Please mark brainliest:)
–8 ÷ 2 =
answer now and free r
Answer:
-4
Step-by-step explanation:
Question 4 fast please
Answer:
X=-10
Step-by-step explanation:
Collinear points are points on the same line.
Use the equation of gradient to find the gradient. Then use the gradient to find X
[tex]\frac{Y2-Y1}{X2-X1}=Gradient of a slope[/tex]
[tex]\frac{2-(-4)}{3-0}=\frac{2+4}{3}=\frac{6}{3}=2[/tex]
[tex]\frac{x+4}{-3-0}=2[/tex]
Multiply both sides of the equation to get rid of the fraction.
[tex]\frac{x+4}{-3}*-3 =2*-3[/tex]
x+4=-6
x=-6-4
x=-10
The temperature dropped 6°C every hour for 9 hours. What was the total number of degrees the
temperature changed in the 9 hours?
Answer:
What is the starting temp?
Step-by-step explanation:
Robert believes the lines graphed at right are perpendicular, but Mario is not convinced. What is the slope of each line? Explain how you know whether or not the lines are perpendicular.
Answer/Step-by-step explanation:
An easy way to be sure two lines are perpendicular is if the product of both slopes equals -1.
That is: [tex] (m_1)(m_2) = -1 [/tex]. Where, m1 and m2 are slopes of both lines respectively.
Let's find the slope of the both lines.
Slope of the line that slants upward from left to right using coordinates (0, 0) and (2, 2) of two points on the line:
[tex] m_1 = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{2 - 0} = \frac{2}{2} [/tex]
[tex] m_1 = 1 [/tex]
Slope of the line that slants downwards from left to right using coordinates (2, 2) and (0, 4) of two points on the line:
[tex] m_2 = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{0 - 2} = \frac{2}{-2} [/tex]
[tex] m_2 = -1 [/tex]
Find the product of both slopes
[tex] (m_1)(m_2) = (1)(-1) = -1 [/tex]
Therefore, we know the lines are perpendicular because [tex] (m_1)(m_2) = -1 [/tex].
If the measure of angle 1=4x-3 and the measure of angle 2=3x+8, find the value of x so that the measure of angle 1 is supplementary to the measure of angle 2.
Answer:
hujikmnjhu
Step-by-step explanation:
egyiru9epojgtur9iokejrue
10. Points D, E, and F are non-collinear. How many lines can be drawn that pass through F and are perpendicular
to DE ? Use a diagram to illustrate your answer.
Given:
Points D, E, and F are non-collinear.
To find:
Number of lines that pass through F and are perpendicular to DE.
Solution:
Points D, E, and F are non-collinear. It means points D, E and F are not lie on a single straight line.
We know that, the number of perpendicular lines on a line from a particular point is 1.
So, number of lines that pass through F and are perpendicular to DE is 1 as shown in the below figure.
What is an equation of the line that passes through the point (-6, -7) and is
perpendicular to the line 6x + 5y = 30?
Answer:
Step-by-step explanation:
Product of slope of perpendicular lines = -1
6x + 5y = 30
Write this equation in y = mx + b form
5y = -6x + 30
y = [tex]\frac{-6}{5}x+\frac{30}{5}[/tex]
[tex]y=\frac{-6}{5}x + 6[/tex]
Slope of this line m₁ = -6/5
m₁ * m₂ = -1
m₂ = -1÷m₁ = -1 * [tex]\frac{5}{-6}[/tex]
[tex]m_{2}=\frac{5}{6}[/tex] & (-6 , -7)
Equation of the required line: y - y₁ = m (x - x₁)
[tex]y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2[/tex]
Identify the domain and range of each relation
whether the relation is a function.
1. {(3, 6), (5,7), (7.7) (8. 9)}
A farm processes 6,000 gallons of milk every hour. Which equation represents the amount of milk, y, that the farm processes in x hours?
A. y=6,000+x
B. y=x6,000
C. y=6,000x
D. y=6,000x
Please help! Will be marking brainliest!
Answer:
integer and rational
Step-by-step explanation:
What is the equation of the line that is perpendicular to y = -2/3x + 4 and that passes through (–2,–2)?
y = 3/2x - 3/10
y = 3/2x - 5
y = 3/2x + 1
y = 3/2x - 2/3
Answer: y = 3/2x + 1
Step-by-step explanation: For a perpendicular line, take the reciprocal of "m" and reverse the sign.
- 2/3 becomes +3/2
Then substitute the y and x values of the given coordinate into the equation and solve for "b"
y = mx + b
-2 = 3/2(-2) + b
-2 = -3 + b
-2 +3 = b
+1 = b Substitute for b in y = (3/2)x + 1
Write as a single exponent.
1. ( 1/10 x 1/10 x 1/10 x 1/10 )^2
2. ( 1/10 x 1/10 x 1/10 )^3
3. ( 10 x 10 x 10 )^-2
Step-by-step explanation:
1. (1/10 × 1/10 × 1/10 × 1/10)^2
(10^-4)^2
10^-8
2. (1/10 × 1/10 × 1/10)^3
(10^-3)^3
10^-6
3. (10 × 10 × 10)^-2
(10^3)^-2
10^-6
Question
Write as a single exponent.
1. ( 1/10 x 1/10 x 1/10 x 1/10 )^2
2. ( 1/10 x 1/10 x 1/10 )^3
3. ( 10 x 10 x 10 )^-2
What is an equation of the line that passes through the points (3,3) and (-2,6)
F.y=-3/5x + 24/5
G.y=-3/5x - 24/5
H.y=3/5x + 24/5
J.y=3/5x - 24/5
Answer:
F
Step-by-step explanation:
x - x1/ x2-x1= y - y1/ y2 -y1
x - 3 / -2 -3= y -3/6-3
x-3/-5=y-3/3
3(x-3)= -5(y-3)
3x-9= -5y +15
5y = -3x +24
y= -3x/5 +24/5
can someone help me figure this out ?
Answer: AAS
Step-by-step explanation:
Lets call the intersection point between AC and DE F.
I think he meant the two triangles AFE and DFC.
We know angle A is congruent to angle D.
We also know AE is congruent to DC.
There is also a hidden piece of evidence which is AFE is congruent to DFC due to vertical angles.
We know two angles and 1 side, so we can use AAS to figure out that the two smaller triangles are congruent.
If m ZAEB = 88°, find m2AED.
Step-by-step explanation:
Hey there!
Here;
Given is; angle AEB = 88°
angle AEB + angle AED = 180° { being linear pair}
88° + angle AED = 180°
angle AED = 180° - 88°
Therefore, angle AED = 92°
Therefore, answer is Option C.
Hope it helps...
1. Which graphs could represent a proportional relationship?
A. A
B. B
C. C
D. D
Answer:
a
Step-by-step explanation:
proportional relationship start from the origin (0,0)
they also have a line that goes upwards in an even relationship
they also can make points
follows the slope
Need help with this algebra problem 15 points will give brainiest if right
Answer:
b is the lowest and d is the highest y axis
Step-by-step explanation:
(4 ² +24) = |(3 - 7) - 16|=
3
5
1
2
Answer:
The equality is not true.
Step-by-step explanation:
[tex](4^2 +24) = |(3 - 7) - 16|[/tex]
[tex](16 +24) = |(3 - 7) - 16|[/tex]
[tex]40 = |(3 - 7) - 16|[/tex]
[tex]40 = |(- 4) - 16|[/tex]
[tex]40 = |-20|[/tex]
[tex]40 = 20[/tex]
But
[tex]40 \neq 20[/tex]
What is the value of x in the equation -6x-5x+22?
-22
-2
2
22
What is the answer
Answer:
theres no answer
Step-by-step explanation:
is there more?
Hugo began his science experiment with 22 grams of sugar crystals. During the experiment, the change in the mass of the sugar crystals was
–
6 grams.
What is the final mass of the sugar crystals?
Answer:
its actually 16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Easy 1 through 3 ! 17 points
1. (1.) -24, (2.) 6, (3.) -3
2. Positive
3. Difference = Subtraction
Product = Multiplication
Quotient = Division
I can’t.....help. I’m gay, I don’t understand math.
Answer:
i cant help i do not know answer
Answer:i-
Step-by-step explanation: good luck
What is the range of the following relation
(9,-2) (4,3) (8,10) (-4,8)
A- 2,3,8,10
B-(9, -2) (4,3)
C - -4,4,8,9
D- (8,10) (-4, 8)
Answer:
Step-by-step explanation:
i believe it would be A...
Which of the following is square root of 0.000081?
(A) 0.9
(B) 0.09
(C) 0.009
(D) 9
Find the value of square root of 64/225?
(A) 8/17
(B) 8/15
(C) 13/8
(D) 8/11
Which number is not a perfect square?
(A) 4
(B) 9
(C) 111
(D) 81
Which of the following is square root of 1/25?
(A) 1/2
(B) 1/3
(C) 1/4
(D) 1/5
What is square root of 36/49?
(A) 3/4
(B) 6/7
(C) 7/6
(D) 5/8
What is square root of 36/121?
(A) 6/11
(B) 3/5
(C) 2/3
(D) 6/121
Answer:
1. C) 0.009
2. B) 8/15
3. C) 111
4. D) 1/5
5. B) 6/7
6. A) 6/11
Hope this helps and have a nice day.
PLease help me(: !!!!!!!!!!!!!!!!!!!!
Answer:
should be 65
Step-by-step explanation:
if not then hmu
Josh but a total of 30 cans of cola and root beer. There were twice as many cans of cola is cans of root beer. How many cans of color did he buy?
Answer:
20
Step-by-step explanation:
start by using system of equations
x = cola
y = root beer
x + y = 30
x = 2y
now either use substitution or elimination. for me, substitution is easier.
the second equation already has one variable isolated ( x ) so, plug that into the first equation.
2y + y = 30
y = 10
now plug your answer into the original equation.
x + 10 = 30
x = 20
hope this helps :)