Answers
Answer:
E
Step-by-step explanation:
The diagram below shows the correct use of diverging lens for correction of myopia.
Related Questions
Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test.
Answers
The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1. The hypothesis can not be concluded.
What is Standard normal distribution?The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.
For the given problems, the Hypothesis mean is 4.5. The sample mean was 4.75 hours with a normal standard deviation of 2.0.
Now, calculating the z-score,
[tex]z = \dfrac{\bar x - \mu_o}{\dfrac{\sigma}{\sqrt n}}\\\\\\z = \dfrac{4.75-4.5}{\dfrac{2}{\sqrt{15}}}\\\\\\z = 0.48[/tex]
Now, as per the standard normal table, the p-value is 0.6844. Since the p-value is greater than the significance level, the hypothesis can not be concluded.
Hence, The hypothesis can not be concluded.
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Saul correctly solved a math problem by first dividing 18 by 6, then adding 5 to the result.
Which equation could be solved to get the same answer?
6x−5= 18
6(x−5)=18
6x+5=18
6(x+5)=18
Answers
Answers.
[tex] \frac{23}{6} [/tex]x=8[tex] \frac{13}{6} [/tex]x=-2
If a dress costs $27.00 when it’s on sale for 10% off, what is its original cost?
Answers
27/.9
27/90*100=30
$30
What is the square root of 121 ?
Answers
Answer:
√121 = 11
Explanation:
11 × 11 = 121
Answer:
11
Step-by-step explanation:
The square root of 121 is 11.
= 11*11 = √(121)
= 121 = 11
done
Y=-2x²-4 solve for y when x=3
Answers
Y= 18-4
Y= 14
Answer:
Y=-58
Step-by-step explanation:
Y=-2(3)^(2)-4
Y=-2(3*3*3)-4
Y=-2(27)-4
Y=-54-4
Y=-58
What is the probability of picking a blue marble and flipping heads?
Answers
Answer:
7/11
Step-by-step explanation:
blue = 1 + 1 + 1 + 1 + 1 + 1 + 1 = 7 that will be blue.
green = 1 + 1 + 1 + 1 = 4 that will be green.
So it’s going to be 7 + 4 = 11 in total then do
7/11
Is it 7/22
What is the quotient and remainder, written as partial fractions, of StartFraction 15 x squared + 52 x + 43 Over 3 x squared + 5 x minus 8 EndFraction?
Answers
Answer:
B
Step-by-step explanation:
On edge
sin A tan A/ 1 - cos A = 1+ sec A
Answers
[tex]\text{L.H.S}\\\\=\dfrac{\sin A \tan A}{1- \cos A}\\\\\\=\dfrac{\sin A \cdot \tfrac{\sin A}{\cos A} }{ 1- \cos A}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\tan A = \dfrac{\sin A }{\cos A}\right]\\\\\\=\dfrac{\tfrac{\sin^2 A}{ \cos A}}{1- \cos A}\\\\\\=\dfrac{\sin^2 A}{\cos A(1-\cos A)}\\\\\\=\dfrac{1-\cos^2 A}{\cos A( 1- \cos A)}~~~~~~~~~~~~~~~~~~~~~~~~;[\sin^2 A + \cos^2 A = 1]\\\\\\[/tex]
[tex]=\dfrac{(1+ \cos A)(1 - \cos A)}{\cos A(1 - \cos A)}\\\\\\=\dfrac{1+ \cos A}{ \cos A}\\\\\\=\dfrac{1}{\cos A} + \dfrac{\cos A}{ \cos A}\\\\\\=\sec A + 1 \\\\\\=1+ \sec A\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
simplify (4x^3)^2 (3x)^5
Answers
Answer:
(4x³)² (3x)⁵ = 3888x¹¹Step-by-step explanation:
(4x³)² (3x)⁵ = 4²(x³)² (3)⁵(x)⁵
= 16x⁶ (243)x⁵
= (16 × 243) (x⁶ × x⁵) [commutative property]
= (3888) (x¹¹) [exponent property]
= 3888x¹¹
The table below shows how the age of a certain tree is related to the diameter
(width) of its trunk. How old (in years) is a tree whose trunk is 11 inches in
diameter?
Trunk diameter
(inches)
Age
(years)
4
10
5
20
6
30
7
40
8
50
9
60
Answers
The age of a tree when the diameter is 11 inches is 80.
What is the age of the tree?The age of the tree increases by 10 with a 1 inch increase in the diameter of the trunk. This represents a linear increase.
The equation that can be used to represent the age of a tree given its diameter is :
age of the tree when the diameter is 4 inches + [(difference between 11 inches and 4 inches) x rate of change in age)
10 + (10 x 7) = 80
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hey do any of yall now what 65'6 x777
Answers
Answer:
If you mean 656, then the answer is 509,712.
Edit: If you're talking about measurements, then it would be 50,893 feet and 6 inches.
Which number produces an irrational number when added to 1/3 ?
A. -1/7
B. 2.4494897
C. 0.464646
D. Square root 9
Answers
A bag contains 2 red, 5 blue, and 3 green marbles. A marble is chosen at random. What is the probability of NOT choosing a red marble
Answers
Step-by-step explanation:
Number of red = 2Number of blue = 5Number of green = 3total number of marbles = 10probability of not choosing a red marble = 1--choosing a red marble.Because probability is always one(1).
Probability =
[tex]1 - \frac{2}{10} [/tex]
[tex] \frac{8}{10} [/tex]
[tex] \frac{4}{5} [/tex]
Is the probability of not choosing a red marble.
Write an equation that represents a relationship between the independent and dependent quantities from the table. Identify the relationship as additive or multiplicative and explain your reasoning.
x y
-4 8
2 -4
6 -12
9 -18
Answers
what is the vertex of y= -x^2+10x
Answers
[tex]y = -x^2+10x\implies y = -x^2+10x+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+10}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 10}{2(-1)}~~~~ ,~~~~ 0-\cfrac{ (10)^2}{4(-1)}\right)\implies \left( \cfrac{10}{2}~~,~~\cfrac{100}{4} \right)\implies (5~~,~~25)[/tex]
M
x-2
20
L
Find the value of x.
A.2
B.4
C.6
D.8
Answers
Answer:
X=4
Step-by-step explanation:
Eveything is explained in the pic. Hope that helps ;)
Which measure of central tendency is the most affected by outliers
Median
Mean
Midrange
Mode
(Is it the mean or midrange?)
Answers
Mean measure of central tendency is the most affected by outliers. Then the correct option is B.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
Mean measure of central tendency is the most affected by outliers.
Then the correct option is B.
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WHAT IS THE ANSWER OF y12+b16-8=
Answers
Answer:
[tex]y^{12} + b^{8} \\OR\\12y + 8b[/tex]
Step-by-step explanation:
If the statement is
[tex]y^{12} + b^{16-8} \\y^{12} + b^{8} \\[/tex]this can't be more simplified
If the statement is
[tex]y{12} + b{16-8} \\y{12} + b{8} \\\\rearrange\\12y + 8b[/tex]
The width of a rectangle is 32 inches shorter than twice its length. The area of the rectangle is 72 square inches. What is the length of the rectangle?
Answers
Answer:
18 inches
Step-by-step explanation:
Equation is (2x-32)(x)=72, where x represents length and (2x-32) represents the width. When you simplify the equation, it ends up as 2x^2-32x-72=0. After factoring, you get 2(x-18)(x+2). Since x cannot be negative, it would therefore be 18. If you plug it back into the equation, you can see that it is right :)
what is the transformation
(x,y) (x+5,y -3)
(x -5, y+3)
(x+3 y-5 )
x-3,y +5
Answers
Use SOHCAHTOA to find the side measure. Show work. Round to one decimal place.
Answers
The value of the n is 64.04 after applying the tan ratio which is opposite to adjacent (TOA)
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a right angle triangle shown in the picture.
We can use SOHCAHTOA to find the unknown length.
Using the ratio of tan which is opposite to adjacent (TOA)
tan8 = 9/n
n = 64.038 ≈ 64.04
Thus, the value of the n is 64.04 after applying the tan ratio which is opposite to adjacent (TOA)
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Find the sum of the interior angles for the polygon that has twice the number of sides as an octagon.
Answers
Answer:
The sum of the interior and exterior angles = 8640+360 = 9000 deg. So, the regular polygon has 9000/180 = 50 sides. Its name is pentacontagon
Step-by-step explanation:
EASY POINTS Identify the type of function represented
Answers
Answer:
exponential growth
Step-by-step explanation:
f(x) = 4 * 2^x
This function is in the form
y = a * b^x where a is the initial value and b is the growth or decay rate
This is exponential form
if b > 1 then it is growth
0< b < 1 it is decay
b =2 so it is growth
How does the graph of y = a(x – h)^2 + k change if the value of h is doubled? The vertex of the graph moves to a point twice as far from the x-axis. The vertex of the graph moves to a point twice as far from the y-axis. The vertex of the graph moves to a point half as far from the x-axis. The vertex of the graph moves to a point half as far from the y-axis.
Answers
The vertex of the graph moves to a point twice as far from the y-axis.
Option B is the right answer.
What is the equation of Parabola ?The general equation of a parabola is
y = a(x-h)² + k
or
x = a(y-k)² +h
where (h,k) denotes the vertex.
It is given in the question that the value of h is doubled for the equation given
y = a(x-h)² + k
if the value of the h is doubled, the vertex of the graph shifts and shifts on the x axis away from the y axis , therefore
the vertex of the graph moves to a point twice as far from the y-axis.
Option B is the right answer.
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Answer:
its b
Step-by-step explanation:
answer quickly pls pls pls
Answers
divide the exponent by 2
(C)
Leah just moved and she's looking for a new dance studio. She gets to list the price from tip top toes charges $300 for 12 classes and groovin amd movin charges $264 11 classes which studio offers the better deal?
Answers
e) 35-12 + 6 x 36 /4
Answers
[tex]35 - 12 + \frac{6 - 36}{4 } \\ 35 - 12 + \frac{216}{4} [/tex]
2. Divide the number[tex] 35 - 12 + \frac{216}{4} \\ 35 - 12 + 54[/tex]
3. Add the numbers[tex]35 - 12 + 54 \\ 77[/tex]
Solution : 77Translate this phrase into an algebraic expression.
8 more than twice Jenny's age
Use the variable j to represent Jenny's age. Please help.. :(
Answers
Answer:
2j + 8
Step-by-step explanation:
Given: 8 more than twice Jenny's age
Let j = Jenny's age
"twice Jenny's age" means double (multiply by 2) Jenny's age = 2j
"more than" means to add, so "8 more than" = + 8
Therefore:
"8 more than twice Jenny's age" = 2j + 8
Solve the exponential equation: 7^3 – 2x = 7–x Question 13 options: A) 3 B) 2 C) 7 D) –2
Answers
The solution to the exponential equation 7^(3 – 2x) = 7^(-x) is 3
How to solve exponential equation?7^(3 – 2x) = 7^(-x)
Both equation has the same baseEliminate the base to remain the powers3 - 2x = - x
collect like terms
3 = - x + 2x
3 = x
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alen is buying a new car. He has the options below.
Model: compact, luxury, sport
Transmission: automatic, manual
Color: red, blue, black, yellow
Jalen decides that he wants a yellow car. What is the total number of choices he has?
5
6
12
24
Answers
Answer:
Step-by-step explanation:
To calculate combinations, we will use the formula nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time. To calculate a combination, you will need to calculate a factorial.