Using the normal distribution, it is found that 0.13% of American women CANNOT use the bicycles designed by this company.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 65, \sigma = 3.5[/tex]
The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{54.5 - 65}{3.5}[/tex]
Z = -3
Z = -3 has a p-value of 0.0013.
0.0013 = 0.13% of American women CANNOT use the bicycles designed by this company.
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Question 17
Consider the equation y = 15 - 4x.
Which of the following is a graph of this equation?
The graph of the given linear equation is the one that you can see below.
How to get the graph of the linear equation?
To graph lines, we need to get two points on the line. To get the points, we can evaluate the line in two different values of x. Here I will use x = 1 and x = 0.
For x = 0 we have:
y = 15 - 4*0 = 15
So we have the point (0, 15).
For x = 1 we have the point:
y = 15 - 4*1 = 11
So we have the point (1, 11).
Now we need to graph these two points and connect them with a line, you will get the graph that you can see below.
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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
hey do any of yall now what 65'6 x777
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.
EASY POINTS Identify the type of function represented
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
Help asap I DONT KNOW THIS QUESTION!!!
Answer:
a and b is ur answer
Step-by-step explanation:
Solve the exponential equation: 7^3 – 2x = 7–x Question 13 options: A) 3 B) 2 C) 7 D) –2
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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Translate this phrase into an algebraic expression.
8 more than twice Jenny's age
Use the variable j to represent Jenny's age. Please help.. :(
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
Tempest graphs a function that has a maximum located at (-4, 2). Which could be her graph?
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
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.
WHAT IS THE ANSWER OF y12+b16-8=
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]
answer quickly pls pls pls
e) 35-12 + 6 x 36 /4
[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 : 77What is the square root of 121 ?
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
Which measure of central tendency is the most affected by outliers
Median
Mean
Midrange
Mode
(Is it the mean or midrange?)
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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simplify (4x^3)^2 (3x)^5
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
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?
Please I need help ASAP
Answer: 50 mg
Step-by-step explanation:
Substituting into the half-life formula, we get that
[tex]N(t)=800\left(\frac{1}{2} \right)^{t/25}[/tex]
So, after 100 years,
[tex]N(100)=800\left(\frac{1}{2} \right)^{100/25}=\boxed{50 \text{ mg}}[/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?
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 :)
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.
[tex] \frac{23}{6} [/tex]x=8[tex] \frac{13}{6} [/tex]x=-2
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
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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what is the transformation
(x,y) (x+5,y -3)
(x -5, y+3)
(x+3 y-5 )
x-3,y +5
Dayshawn can choose two of his four t-shirts to take on a weekend trip.
If the t-shirts are labeled A, B, C, and D, which choice represents the sample space, S, for the event?
S = {ABCD}
S = {ABCD, DCBA}
S = {AB, AC, AD, BC, BD, CD}
S = {AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD, DC}
Answer:
it is C S = {AB, AC, AD, BC, BD, CD}
Step-by-step explanation:
i just took it edge 2022 good luck
The solution is: C is the right answer. Sample space of the given event is given by S= {AB, AC, AD, BC, BD, CD}
What is probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, we have,
Given :
Total T-shirts =4
He chose T-shirt to take on weekend trip = 2
In an random trial or experiment , the set of all possible outcomes or results of that experiment is called the sample space of it.
If the t-shirts are labeled A, B, C, and D,
then its sample space of the event is given by
S= {AB, AC, AD, BC, BD, CD}
Hence, The solution is: C is the right answer. Sample space of the given event is given by S= {AB, AC, AD, BC, BD, CD}
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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?
Answer:
B
Step-by-step explanation:
On edge
Find the sum of the interior angles for the polygon that has twice the number of sides as an octagon.
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:
If a dress costs $27.00 when it’s on sale for 10% off, what is its original cost?
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.
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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sin A tan A/ 1 - cos A = 1+ sec A
[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]
Which number produces an irrational number when added to 1/3 ?
A. -1/7
B. 2.4494897
C. 0.464646
D. Square root 9
What are the coordinates of the turning point of the parabola whose equation is
y = x² - 4x + 48
(1) (2.0) (2) (-2, 16)
(3) (2,-4)
(4) (-2,0)
What is the equation for the axis of symmetry for: y = -x² - 2x-1
(1) x= 1 (2) X=-1
(3) y = 1
(4) y = -1
If the roots of a quadratic equation are -2 and 3, the equation can be written as:
1) (x-2)(x+3) = 0
3) (x + 2)(x + 3) = 0
2) (x + 2)(x-3) = 0
4) (x-2)(x-3) = 0
The equation of the axis of symmetry of the graph of y=2x2-3x+7 is
3
3
3
3
(1) X
(2) y=-
(3) X=-
(4) y=-
4
2
2
Ex7: What are the vertex and axis of symmetry of the parabola shown in the graph below?
(1) Vertex (1. 6); axis of symmetry: y=1
(2) Vertex (1, 6); axis of symmetry: x = 1
(3) Vertex (6, 1); axis of symmetry: y = 1
(4) Vertex (6, 1); axis of symmetry: x = 1
i really hope this helps :))))
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
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.