The percentage of the group that is between 62 and 65 inches tall is 47.725%
How to determine the probability?The given parameters are:
Mean, μ = 62Standard deviation, σ = 1.5Calculate the z-scores for x = 62 and x = 65 using:
z = (x - μ)/σ
So, we have:
z = (62 - 62)/1.5 = 0
z = (65 - 62)/1.5 = 2
The percentage is then represented as:
P(62 < x < 65) = P(0 < z < 2)
Rewrite as:
P(62 < x < 65) = P(z < 2) - P(z < 0)
Evaluate
P(62 < x < 65) = 0.47725
Express as percentage
P(62 < x < 65) = 47.725%
Hence, the percentage of the group that is between 62 and 65 inches tall is 47.725%
Read more about probability at:
https://brainly.com/question/25870256
#SPJ4
10 to the negative fourth power
Answer:
[tex]10^{-4} = 0.0001[/tex]
Step-by-step explanation:
Negative exponents make the base a reciprocal:
[tex]x^{-1} = \frac{1}{x}\\x^2 = \frac{1}{x^2}\\[/tex]
Therefore, we can rewrite [tex]10^{-4}[/tex] as:
[tex]10^{-4} = \frac{1}{10^4} = \frac{1}{10000} = 0.0001[/tex]
10^-4 = 0.0001
1 x 10^-4 = 10^-4
It's a negative power - so you divide the 1 by 10000 - to get 0.0001.
Same as 1/10000
Hope this helps!
Use fundamental identities to find the values of the trigonometric functions for the given conditions. tan = − 15/8 and sin > 0
sin =
cos =
tan =
csc =
sec =
cot =
Step-by-step explanation:
sin = 15/17
cos = -8/17
tan = -15/8
csc = 17/15
sec = -17/8
cot = -8/15
Please help I’ve been stuck in this for 5 minutes
Answer:
C.A 140° angle
please mark me brainliest
Question provided in image:
Answer:
the slope of parallel lines are - the same
i.e,m1=m2
the slope of perpendicular lines are- negative reciprocals
i.e,m1*m2= -1
where, m1 and m2 slopes of two lines
A. The slope of parallel lines are: the same/equal
B. The slope of perpendicular lines are negative reciprocals.
What are the Slopes of Parallel and Perpendicular Lines?If two lines are parallel to each other, they will have the same slope. If the slope of one is 4, the slope of the other line that is parallel to it would also be 4.
On the other hand, the slope of perpendicular lines are negative reciprocal of each other. That is, if the slope of one is, -1, the slope of the other line would be 1.
Therefore, parallel lines have the same slope, while perpendicular lines have slope values that are negative reciprocal to each other.
Learn more about the slopes of parallel and perpendicular lines on:
https://brainly.com/question/10703469
#SPJ2
PLEASE HELP!! need this test done. the solution set of |R-3|=10 is
Answer:
[tex]\{-7,13\}[/tex]
Step-by-step explanation:
[tex]~~~~~~|R-3| = 10\\\\\implies R -3 = 10~~~~~~ \text{or}~~~~~~~R -3 = -10\\\\\implies R = 10+3~~~~~~\text{or}~~~~~~~R = -10+3\\\\\implies R = 13~~~~~~~~~~~ \text{or}~~~~~~~R = -7\\\\\text{Solution set:} ~\{-7,13\}[/tex]
Answer: Heyaa! ~
Your Answer is... (-7, 13) Which is C.
Step-by-step explanation:
Factor then solve to find the complex solutions.
Remove the absolute value term. This creates a ±
on the right side of the equation because |x|=±x.
R−3=±10
The complete solution is the result of both the positive and negative portions of the solution.
R= -7, 13
Hopefully this helps you! ~
Michael is investing $2500 at his bank. The savings account he chooses earns interest at a rate of 6%
annually. How much is in the account after four years?
So
P=2500R=6%T=4yearsInterest
I=PRT/100I=2500(6)(4)/100I=25(24)=$600Amount
2500+600$3100Which is the correct quotient with a letter as the remainder?
Answer:
A) 913 / 29 = 31 r 14Step-by-step explanation:
31 × 29 + 14 = 913
Then
913 / 29 = 31 r 14
In trapezoid PQRS, if segment XY is the midsegment, which could be the lengths PQ and SR? Select all that apply.
17 cm and 31 cm
18 m and 30 m
4 cm and 8 cm
9 cm and 15 cm
12 cm and 36 cm
18 cm and 30 cm
please explain how you get the answer :)
Answer:
17 cm and 31 cm
12 cm and 36 cm
18 cm and 30 cm
Step-by-step explanation:
The midsegment of a trapezoid is equal to the average of the two bases. When taking an average of two numbers, you add them and divide by 2. So the equation will be as follows:
[tex]\frac{PQ + SR}{2} = XY[/tex]
XY is given to be 24, so:
[tex]\frac{PQ + SR}{2} = 24[/tex]
Multiplying on both sides gets us:
[tex]PQ + SR = 48[/tex]
So any values of PQ and SR that add to 48 work. Therefore, we will sum the given options:
17 cm + 31 cm = 48 cm
18 m + 30 m = 48m (Did you mean meters?)
4 cm + 8 cm = 12cm
9 cm + 15 cm = 24cm
12 cm + 36 cm = 48cm
18 cm + 30 cm = 48 cm
Convert the following equation
into standard form.
y = 2x
Answer: 2x-y=0
Step-by-step explanation:
y=2x
-2x -2x
-1(-2x+y=0)
2x-y=0
Helppppp fastttt !!! Pleaseeee and tyyyyy
Answer:
x ≤ -4
Step-by-step explanation:
-7x + 13 ≥ 41
Rearrange the terms
-7x ≥ 41 - 13
Calculate
-7x ≥ 28
Divide both sides
x ≤ -28/7
Simplify
x ≤ -4
HOPE THIS HELPS AND HAVE A NICE DAY <3
Can someone help quick?I don't fully get how to do this. Find the measure of the following arcs or angles. There are two images.
Answer:
AE is 77
AB is 65
CPD is 77
BPE is 142
ADC is 257
ACD is 180
Step-by-step explanation:
line CE and AD are splitting the circle in half
I WILL GIVE YOU BRANILEST!
This is a really important question that I need to know before 1! Please explain your answer! PLEASE EXPLAIN!
What is the length of the line segment?
Answer:
[tex]l(\overline {AB})\approx9.22\: units[/tex]
Step-by-step explanation:
A = (-2, -3), B = (-8, 4) (Given)[tex]\implies x_1= -2,\: y_1=-3,\: x_2=-8,\: y_2= 4[/tex]By distance formula length of segment AB can be given as:[tex]l(\overline {AB})=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex][tex]l(\overline {AB})=\sqrt{[-8-(-2)]^2 +[4-(-3)]^2}[/tex][tex]l(\overline {AB})=\sqrt{[-8+2]^2 +[4+3]^2}[/tex][tex]l(\overline {AB})=\sqrt{[-6]^2 +[7]^2}[/tex][tex]l(\overline {AB})=\sqrt{36 +49}[/tex][tex]l(\overline {AB})=\sqrt{85}[/tex][tex]l(\overline {AB})=9.21954446\: units[/tex][tex]l(\overline {AB})\approx9.22\: units[/tex]50 cm = _____ km
1000 g = _____ cg
Answer:
0.0005 and 100000
Step-by-step explanation:
solve them in the answer.
help with practice problem
Answer:
y = 2x - 6
Step-by-step explanation:
For parallel lines, the mx (the slope) stays the same but the y-int changes.
GUYS PLEASE HELP ME ASAP I REALLY NEED HELP FOR THIS QUESTION, THANKS!!!
THE QUESTION: When 30 is added to a number k and the resulting number is multiplied by k, a prime number is obtained. Find the prime number.
Answer:
30k + k²
Explanation:
First Step:
30 is added to k means : 30 + k
Second Step:
Resulting number multiplied by k means : (30 + k) × k
Results:
30k + k² ___prime number.
The Pythagorean Theorem can be used to find the missing side length of a triangle when two other side lengths are known.
Consider the following measurements.
A=20
B=?
C=29
Use the formula c=√a^2+b^2 a modified version of the Pythagorean Theorem, to find the missing side length, b.
What is the value of b?
(NOT C)
A. 21
B. 35.2
C. 441 XXX
D. 840.8
Answer:
The value of b is 21
Step-by-step explanation:
29=√20^2+b^2
or, 29=√400+b^2
or, 841=400+b^2
or, 841-400=b^2
or, √441=b
b=21
Find the value of x in the figure.
Answer:
120
Step-by-step explanation:
Because triangle is always 180.
180-30-30=120
Name each indicated part of the algebraic expression.
4x + y
3
- 2.2
Answer:
4 Coefficient-2.2 Constant1/3 Coefficienty/3 Termx VariableStep-by-step explanation:
Some qucik lil definitions of these words
Coefficient - A multiplicative factor in some term of a polynomial, a series, or any expression.
Constant - A value that is unchanging.
Term - A single mathematical expression.
Variable - A letter used to represent an unknown.
A rectangle measures 2
3
4
inches by 2
1
4
inches. What is its area?
Answer:
50,076 square inches
Step-by-step explanation:
can someone help me with " |-3|-10 " please.
Answer:
-7
Step-by-step explanation:
| anything inside these vertical lines becomes positive when the lines are removed. These lines are absolute value lines |
So |-2| becomes 2 when absolute bars are removed.
Using this logic, |-3| becomes 3 when bars removed. Thus 3 - 10 = -7
the address by ronald reagan is one of his most famous speeches. Taking into consideration the principles of effective public speaking you have studied so far, list at least 4 reasons why you feel this speech is still considered great?
ASAP 100 POINTS
Answer:
nation's leader
Step-by-step explanation:
As the nation's leader, President Reagan decided to address the country about the Challenger tragedy. Putting aside his scheduled State of the Union address before Congress, the President instead delivered an Oval Office address to comfort the people as the nation mourned.
Nerys checks her tax bill from last year
the tax rates were as follows:
•No tax on the first £11,000 of earnings
•Earnings in excess of £11,000 and up to £43,000 taxed at a rate of 20%
•Earnings in excess of £43,000 and up to £ 150,000 taxed at a rate of 40%
•Earnings over £150,000 taxed at a rate of 45%
Last year Nerys earned £162,700 before tax.
how much tax did she pay in total?
Answer:
£54,915
Step-by-step explanation:
The tax table is applied as follows:
first 11,000 -- no tax
11,000 to 43,000 -- tax is 0.20 × (43,000 -11,000) = 6,400
43,000 to 150,000 -- tax is 0.40 × (150,000 -43,000) = 42,800
150,000 to 162,700 -- tax is 0.45 × (162,700 -150,000) = 5,715
Then the total tax on earnings of £162,700 is ...
£6,400 +42,800 +5,715 = £54,915
Nerys paid a tax of £54,915.
_____
Additional comment
The tax computation could be simplified to ...
f(x) = max(0, 0.2x -2200, 0.4x -10800, 0.45x -18300)
In this instance, the value 0.45x -18300 is the highest, at £54,915. Not all the computations are required if you realize the lines cross at x = 11,000, 43,000, and 150,000.
A spinner is divided into four sections, not equally sized, of four colors. Ra
below.
Color Frequency
Red 46
Blue 64
Yellow 52
Green 38
What is the experimental probability of the spinner stopping on green?
The table displays the number and type of tickets bought for a play that was performed in both the afternoon and evening. Apply the addition rule to find “a child ticket is bought for a play” and “the play is performed in the afternoon.”
A) 48/363
B) 175/363
C) 163/363
D) 36/363
The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" is 36/363.
What is the probability?Probability is the likelihood that a stated event would occur. The probability that the event would happen lies between 0 and 1.
The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" = 36 / total number of tickets bought
36 / (36 + 12 + 127 + 188) = 36 / 363
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
It seems that every carton of eggs at the supermarket contains at
least one broken egg. If, in fact, it has been determined that
3 percent of the eggs supplied to a supermarket are cracked,
what is the probability that if you buy two dozen eggs none of
your eggs will be cracked?
The probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
3 percent of the eggs supplied to a supermarket are cracked.
The probability that no eggs are cracked = 1 - 0.03 = 0.97
The probability that if you buy two dozen eggs, none of your eggs will be cracked:
= 0.97×0.97
= 0.9409
= 94.09%
Thus, the probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
Darrell’s restaurant bill is $89.75. If Darrell leaves an 18% tip, how much tip does the server receive?
A:1.62 cents
B:16 dollars and 16 cents
C:73.59 dollars
D:109.51 dollars
Answer:
[B] 16 dollars and 16 cents
Step-by-step explanation:
Given:
Darrell’s restaurant bill is $89.75. If Darrell leaves an 18% tip, how much tip does the server receive?
A:1.62 cents
B:16 dollars and 16 cents
C:73.59 dollars
D:109.51 dollars
Solve:
$89.75 × 18% = 16.155 ≈ 16.16
Kavinsky
Answer: B. 16 dollars and 16 cents
Step-by-step explanation:
89.75 * .18 = $16.155
Convert the polar equation to rectangular coordinates. (use variables x and y as needed. )
The rectangular coordinates will be (x=7cot(θ), y=7).
What are polar coordinates?A pair of coordinates locating the position of a point in a plane, the first being the length of the straight line ( r ) connecting the point to the origin, and the second the angle ( θ ) made by this line with a fixed line.
We have the standard conversion toolbox:
[tex]x=rcos(\theta)\\\\y=rsin(\theta)[/tex]
Here it is given that
[tex]r=7cosec(\theta)[/tex]
so
[tex]x=7cosec(\theta)\times cos(\theta)=\dfrac{7cos(\theta)}{sin(\theta )}=7cot(\theta)\\\\\\y=7cosec(\theta)\times sin(\theta)=\dfrac{7sin(\theta)}{sin(\theta)} = 7[/tex]
therefore the rectangular coordinates are (7cot(θ), 7)
To know more about polar coordinates follow
https://brainly.com/question/14965899
#SPJ4
please help!!!!!!!!!!
Answer: which one ? ill edit this w/ the answer
Step-by-step explan
According to the rational root theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 9x3 – x2 12? f(x) = 3x5 – 2x4 – 9x3 x2 – 12 f(x) = 3x6 – 2x5 9x4 – x3 12x f(x) = 12x5 – 2x4 9x3 – x2 3 f(x) = 12x5 – 8x4 36x3 – 4x2 48
According to the rational root theorem, the function that has the same set of potential rational roots is f(x) = 3x^5 – 2x^4 – 9x^3 + x^2 – 12.
Calculations and Parameters:Given the function:
g(x) = 3x^5 – 2x^4 + 9x^3 – x^2 + 12
We would have to find the rational roots and this would be done by:
Identifying the factors of 12 and 3.
After this, there would have to be an analysis of the factors and we can see that the correct answer is f(x) = 3x^5 – 2x^4 – 9x^3 + x^2 – 12.
Read more about the rational root theorem here:
https://brainly.com/question/2072459
#SPJ4
Can someone help me with this question?
option B and option D
hope it helps...!!!