Z = 0.65 for a height of 66 inches.
What is Normal Probability Distribution?The most common continuous probability distribution is the Normal (or Gaussian) distribution. As the curve approaches zero on either side of the mean, the function calculates the likelihood that an event will fall between any two real number limits. The area beneath the normal curve is always one.To find Normal Probability Distribution:
The z-score formula can be used to solve normal distribution problems.The z-score of a measure X in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:[tex]Z=\frac{X-\mu}{\sigma}[/tex]The Z-score indicates how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the probability that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the probability that the measure's value is greater than X.The average height was approximately 64.3 inches, with a standard deviation of approximately 2.6 inches.It means: [tex]\mu=64.3, \sigma=2.6[/tex]66 inches :
The z-score for a 66-inch height is:[tex]\begin{aligned}&Z=\frac{X-\mu}{\sigma} \\&Z=\frac{66-64.3}{2.6} \\&Z=0.65\end{aligned}[/tex]Therefore, Z = 0.65 for a height of 66 inches.
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The complete question is given below:
For the women aged 18-24 in HANES2, the average height was about 64.3 inches; the SD was about 2.6 inches. Express each height in standard units. (Decimal form; two places after decimal.) 66 inches:
I need help finding the m with m
The value of x in the angles is 17
How to determine the value of x?The angles are given as
3x + 10 and 2x - 5
These angles are complementary angles
So, we have
3x + 10 + 2x - 5 = 90
Collect the like terms
So, we have
3x + 2x + 10 - 5 = 90
Evaluate the like terms
So, we have
5x = 85
Divide both sides by 5
x = 17
Hence, the value of x in the angles is 17
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Helpppppppppppppppppppppppppppp
2. Which of the following shows 3 less than an unknown value?
a. n-3
b. n + 3
C. 3- n
d. 3 + n
Answer:
a
Step-by-step explanation:
the unknown value is n then 3 less than this value is
n - 3
Answer:
answer is C
because other equations normally n>3 but C equation normally is n<3
so answer is C
ok, help me out with this one
Absolute value equations : solve for all values of y in the simplest form.
21=|7y|
All values of y in the simplest form are 3 and -3
How to solve for all values of y in the simplest form?The equation is given as
21 = |7y|
The above equation is an absolute value equation
When the above equation is expanded, we have the following equations
So, we have
-21 = 7y and 21 = 7y
Divide both sides of the equations by 7
So, we have
-3 = y and 3 = y
Rewrite as
So, we have
y = -3 and y = 3
Hence, all values of y in the simplest form are 3 and -3
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If I spend 35 every week for a year how much do I spend?
Answer:
$1,820
Step-by-step explanation:
The math problem is $35 times 52 weeks
A Principal of #5,600 was deposited for 3 years at compound interest If the interest earned was #1,250, find correct to 3 Significant figures, the interest rate Per annum
The annual interest rate is 6.69% for 3 years at compound interest.
What does the term "compound interest" mean?
The interest you earn on interest is known as compound interest. Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You will wind up with $110.25 at the conclusion of the second year.[tex]A = P.( 1 + \frac{r}{n} )^{n.t}[/tex]
p = 5600
t = 3
I = 1200
n = 1
The interest earned I is
I = [tex]P. ( 1 + \frac{r}{n} )^{n.t} - P[/tex]
1200 = [tex]5600 . ( 1 + \frac{r}{1} )^{1.3} - 5600[/tex]
[tex]1200 = 5600 .( 1 + r )^{3} - 5600[/tex]
[tex]\frac{1200}{5600} = ( 1 + r)^{3} - 1[/tex]
[tex]\frac{3}{14} = ( 1 + r )^{3} - 1\\[/tex]
[tex]\frac{17}{14} = ( 1 + r)^{3}[/tex]
Take the log base 10 of both sides
log17 - log14 = 3.log( 1 + r)
1.23045 - 1.14613 = 3.log( 1 + r)
3.log( 1 + r) = 0.084322
log( 1 + r) = 0.028107
1 + r = [tex]10^{0.28107}[/tex]
1 + r = 1.06686
r = 0.06686
The annual interest rate is 6.69%.
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A cylindrical tube 14.5 cm high and 4.5 cm in diameter is used to collect blood samples. how many cubic decimeters (dm3) of blood can it hold (v of a cylinder = r2h)?
The amount of blood that a cylindrical tube hold will be 0.23 cubic dm.
What is the volume of a right circular cylinder?Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be
V = π r²h cubic units
A cylindrical tube 14.5 cm high and 4.5 cm in diameter is used to collect blood samples. Then the radius of the cylinder will be
r = d / 2
r = 4.5 / 2
Then the volume of the cylinder will be
V = π r²h
V = 3.14 (4.5 / 2)² × 14.5
V = 3.14 × 20.25 × 14.5 / 4
V = 921.98 / 4
V = 230.5 cubic cm
V = 0.23 cubic dm
The amount of blood that a cylindrical tube hold will be 0.23 cubic dm.
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Define the concept of an angle and show how it should be indicated in Math (notation). Mention at least two ways.
An angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
An angle is denoted by the angle symbol ∠ which is then being followed by three letters that will represent the points that form an angle.
Lets say for example, the expression ∠ABC will mean that “the angle is formed by the points A, B and C”
where the vertex of the angle is at the point B as it is in the middle.
Angles can also be of different types like:
An Acute Angle which means an angle is less than 90 degrees.
A Right Angle which means an angle which is exactly 90 degrees.
An Obtuse Angle which is an angle more than 90 degrees and less than 180 degrees.
A Straight Angle which is an angle that is exactly 180 degrees.
And a Reflex Angle which is an angle greater than 180 degrees and less than 360 degrees.
Therefore, an angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
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a phrase that describes a set of real numbers is given. express the phrase as an inequality involving an absolute value. all real numbers x more than 2 units from 0
All real numbers x more than 2 units from 0 will be |x - 2| ≤ 0.
What does "real number" mean?
In mathematics, a real number is a quantity that may be represented by an endless number of decimal expansions. In contrast to the natural numbers 1, 2, 3,... that result from counting, real numbers are utilized in measurements of continuously altering quantities such as size and time.All real numbers x at most 2 units from 0
This means if x is centered at 2 then it can move at the max 2 units on either side (i.e. 4 units after 2 and 0 units before 2)
This will be |x - 2| ≤ 0
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Here is a list of fractions.
15
20
3344
3
One of these fractions is not equivalent to
4
Write down this fraction.
12
16
26
32
21
28
Answer:
So bassiccalyy the answer is 3344/3 because it is not equivalent to 4
Suppose that A and B are points on the number line.
If =AB11 and B lies at 9, where could A be located?
Answer: A=-2
Step-by-step explanation:
AB=11
B=9
B-11=A
9-11=A
A=-2
1/19 7/4 -4/7 in order from least to greatest
Answer:
-4/7, 1/19, 7/4
Step-by-step explanation:
-4/7 is less then zero, and the only negative number so it is first
1/19 is the second lowest
7/4 is the highest because it is the only one that is greater then 1. (simplified, 7/4= 1 3/4)
Please Help!
Find the dimensions of an American football field. The length is 200ft. more than the width, and the perimeter is 1,040ft. Find the length and width. Use the perimeter formula P=2L+2W
The width and length of the field are 160ft and 200ft respectively
When both the given variables are related to each other, we are required to consider one variable as x and the other as a function of x to solve accordingly
Let the width of the football field be 'x' ft.
then according to given data,
length= 200 ft more than width= (x+200)ft
According to given,
Perimeter of the given field =2L+2W=1040
where L is length and W is the width
Now putting the values of length and width earlier derived, we get:
2(x)+2(x+200) =1040
2x+2x+400=1040
4x+400=1040
4x=1040-400
4x=640
x=160ft
Now, the width of the field= x=160ft
length of the field= x+200=160+200=360ft
Hence the length and the width of the field are 160ft and 360ft
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please help!
there’s a picture, to see the question
Answer:
it's x+3
Step-by-step explanation:
it seems to go up by one so if you go down by you the input of 1 would be the output of 4 also known as (1,4)
and go again down by 1 and get (0,3)
so we know we have to add 3 each time so it is x+3
Draw the graph of y = x² – 4x + 3. Identify the intercepts (x and y), the vertex, and the axis of symmetry.
Answer:
y-intercept : 3
x-intercepts are 1 and 2
Vertex is at (2,-1)
Axis of symmetry is at x = 2
Step-by-step explanation:
See attached graph.
The equation y = x² – 4x + 3 represents a parabola
y-intercept at is at B(0,3); y-intercept is 3
x-intercept points at C(1,0) and D(3,0) so x-intercepts are 1 and 3
The vertex is the lowest point on this parabola (2-1)
Axis of symmetry is a line passing through the vertex and dividing the parabola into two equal halves. This is the vertical line x = 2
Work out the area of the shaded shape.
3cm
4cm
Of the students at Milton Middle School, 143 are girls. If 55% of the students are girls, how many total students are there at Milton Middle school?
A.
260
B.
325
C.
195
D.
130
What is the slope of a line perpendicular to the line whose equation is 4x+5y=354x+5y=35. Fully simplify your answer.
The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4
evaulate 5m+7 if m=5
Answer:
32
Step-by-step explanation:
[tex]5\cdot \:5+7[/tex]
4 less than a number n is −15 in eqation form
Answer:
n - 4 = - 15
Step-by-step explanation:
Hope this helps :)
Find the equation of the line shown.
The equation of the line shown in the diagram is y = 0.5x+0.5.
What is a line?A line is a mark connecting two points.
To calculate the equation of the line, we use the formula below
Formula:
y = mx+c.............. Equation 1Where:
m = Slope of the graphc = Intercept on the vertical axis.From the diagram,
Given:
m = 1/2 = 0.5c = 0.5Substitute these values into equation 1
y = 0.5x+0.5Hence, the equation of the line shown in the diagram is y = 0.5x+0.5.
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pls pls pls helppp!!! will give brainliest!!!!
Answer:
x = 64
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees, so the missing angle in the triangle on the right has an angle measurement of 180 - 47 - 81 = 52 degrees.
Since the angle and the rightmost angle in the triangle on the right are vertical angles. They are congruent.
Finally, since the triangle on the left is an isosceles triangle and the base angles, the angles on the top left and bottom left, are congruent and therefore their angle measures are both x degrees. So, 2x + 52 = 180 and x = 64.
PLS Help.............................
Answer:
Top to bottom
1
30
9
45
Step-by-step explanation:
find both area and perimeter of square its length is 16 cm
Answer:
Perimeter=16cm
Area=16cm
Step-by-step explanation:
we know that all 4 sides of square are equal. So,
Length of 4 sides of square= 16cm
Length of 1 side of square= 16/4cm=4cm
Now that we have found the length of single side of square, by using the formula of area and perimeter we can get of square like this:
Perimeter= 4 times the length of square
or,Perimeter= 4*4
Therefore,Perimeter=16 cm
Now,
Area=square of length of side
or,Area=4^2
Therefore, Area=16 cm
“ – 9(11 – 18) – 5.5”
please help with question 20! thank you. it’s similar to a previous question i asked but i’m still not too sure how to approach it. thank you.
Answer:
118
Step-by-step explanation:
The key piece of information to focus on is that there are around 120 fruits. 15 is the biggest of the given divisors, and the gaps between multiples of 15 is the greatest (compared to 4 and 6) which will narrow down our options. Therefore we can first try approaching the problem by finding multiples of 15 that are close to 120.
The question says that when the number (let's call it A) is divided by 15, it leaves 13. Therefore we can express A as such:
A-13 = 15x OR 15x + 13 = A
Where 'x' represents a whole number showing that the number is divisible by 15.
The closest multiples of 15 to 120 are 105 (15*7), 120 (15*8), and 135 (15*9).
A is one of these numbers + 13, let's see which ones are closest:
105+13 = 118, 120+13 = 133, 135+13 = 148
118 is very close to 120, so let's check it with the other numbers:
118/4 = 29 r 2
118/6 = 19 r 4
The exact number of fruits is 118.
Hope this helped!
Answer:
118
Step-by-step explanation:
We are told that there are about 120 fruits.
Fruits divided equally among 4 students
Multiples of 4: 4, 8, 12, ... 112, 116, 120, 124, ...
Therefore, 116, 120 and 124 are closest to 120.
Add the given remainder of 2 to these numbers:
116 + 2 = 118120 + 2 = 122124 + 2 = 126Fruits divided equally among 6 students
Multiples of 6: 6, 12, 18, ... 108, 114, 120, 126 ...
Therefore, 114, 120 and 126 are closest to 120.
Add the given remainder of 4 to these numbers:
114 + 4 = 118120 + 4 = 124126 + 4 = 130Fruits divided equally among 15 students
Multiples of 15: 15, 30, 45, ... 105, 120, 135, ...
Therefore, 105, 120 and 135 are closest to 120.
Add the given remainder of 13 to these numbers:
105 + 13 = 118120 + 13 = 133135 + 13 = 148Therefore, as the total of 118 fruits is common to all three groups the exact number of fruits is 118.
Check
Divide 118 by each group of students:
118 ÷ 4 = 29 r 2118 ÷ 6 = 19 r 4118 ÷ 15 = 7 r 13As the remainders concur with the given amount of fruit left over for each group of students, this verifies that the exact number of fruits is 118.
(HELP) The town of Miami is mapped on a coordinate
grid with the origin being at City Hall. Jordan's house
is located at the point (-5, 7) and Ca'Miyah's house is
located at (-2, 3). To the nearest tenth, How far is it
from Jordan's house to Ca'Miyah's house?
(51)
Answer: 5.2
Step-by-step explanation:
If we put both points on a grid, Jordan's house would be 4 points above and 3 points to the left of Ca'Miyah's. We can plug these two amounts into the pythagorean theorem to find the distance between the houses: 4^2 + 3^2 = x^2. If we solve this equation, we get 5.196, which rounds to 5.2.
Hope this helps!
please help me with this i will mark as brainliest
Answer:
SHOWN BELOW!!!!
Step-by-step explanation:
KEEP IN MIND ----> *Square root of a number is a value, which on multiplication by itself gives the original number. The square root is an inverse method of squaring a number.*
Alright so the first equation C^2 - 49 = 0
Step 1 : Add 49 to both sides
C^2 - 49 + 49 = 0 + 49
C^2 = 49
Step 2 : Take the square root
(squ root) C^2 = (squ root)49
C = +/- (squ root) 49
Final answer ---> C = 7 OR C = -7
2.) 4S^2 - 100 = 0
Step 1 : Add 100 to both sides
4S^2 - 100 + 100 = 0 + 100
4S^2 = 100
Step 2 : Divide both sides by 4
4S^2/4 = 100/4
S^2 = 25
Step 3 : Take the square root
(squ root) S^2 = (squ root) 25
S = +/- (squ root) 25
Final answer ---> S = 5 OR S = -5
3.) 9x^2 = 324
Step 1: Divide both sides by 9.
9x^2/9 = 324/9
x^2 = 36
Step 2: Take the square root
squ root) x^2 = (squ root) 36
x = +/- (squ root) 36
Final answer ---> x = 6 OR x = -6
I don’t understand this so if anyone can help?
Answer:
0.84
4.48
5.32
Step-by-step explanation:
