Answer:
a) 15.52mm
b) 25.8275mm
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left side of the curve. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, that is, the area to the right side of the curve.
A) What wing-span has an area of 0.1005 on it left side under the standard normal curve?
This is X when Z has a pvalue of 0.1005. So it is X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 20}{3.5}[/tex]
[tex]X - 20 = -1.28*3.5[/tex]
[tex]X = 15.52[/tex]
This wing-span is 15.52mm.
B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?
This is X when Z has a pvalue of 1 - 0.0480 = 0.9520. So this is X when Z = 1.665.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.665 = \frac{X - 20}{3.5}[/tex]
[tex]X - 20 = 1.665*3.5[/tex]
[tex]X = 25.8275[/tex]
This wing-span is 25.8275mm.
Subtract -5/8 -(-1/4)
plzz answer now!
Answer: -5/18 - (-1/4) = -1/36
Step by step:
To subtract, find the LCD and then combine
So this is your answer,
-1/36
A person places $72300 in an investment account earning an annual rate of 7.1%, compounded continuously. Using the formula V = Pe^rt, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 19 years.
Answer:
Step-by-step explanation:
Our P is 72300; our r is .071, e is Euler's number (a constant) and t is 19 years. Filling in:
[tex]V=72300e^{(.071)(19)}[/tex] and
[tex]V=72300e^{1.349[/tex] and
V = 72300(3.853570033) so
V = $278,613.11
What is the perimeter of the triangle?
Answer:
P = 36 units
Step-by-step explanation:
Pythagoras
ip = √(12² + 9²)
= √(144 + 81)
= √225
= √15²
= 15 units
P = 9units + 12units + 15units = 36 units
The function g has an inverse. The function g − 1 determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g − 1 .
Answer:
[tex]\mathbf{g^{-1} (t) = log _2 \ 20 \ t}[/tex]
Step-by-step explanation:
Here is the full question
A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times. We'll assume we can make "perfect folds," where each fold makes the folded paper exactly twice as thick as before - and we can make as many folds as we want.
Write a function g that determines the thickness of the folded paper (in mm) in terms of the number folds made, n. (Notice that g(0) 0.05,)
[tex]g(n )= (05)2^n[/tex]
The function g has an inverse. The function g⁻¹ determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g⁻¹).
SOLUTION:
If we represent g(n) with t;
Then
[tex]\mathbf{t = (0.05)2^n} \\ \\ \mathbf{\dfrac{t}{0.05} = 2^n} \\ \\ \mathbf{\dfrac {100 \ t }{ 5} = 2^n} \\ \\ \mathbf{20 t = 2^n}[/tex]
Taking logarithm of both sides; we have :
[tex]\mathbf{log (20 t) = n log 2} \ \ \ \mathbf{(since \ , log \ a^b = b \ log \ a) } \\ \\ \mathbf{n = \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) = \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) = log _2 \ 20 \ t}[/tex]
Select the correct answer. In 2010, there were 400 frogs in the lake at a local nature preserve. Each year, the population of frogs grows by 10%. Which equation accurately describes the population of frogs, f(x), x years after 2010?
a) f(x) = 0.1(400)^x
b) f(x) = 10(400)^x
c) f(x) = 400(1.1)^x
d) f(x) = 400(0.1)^x
Answer:
400
Step-by-step explanation:
5=4=78+400
Answer: f(x)=400(1.1)^x
Step-by-step explanation:
Work out the value of (√2)4
Answer:
5.657
Step-by-step explanation:
Root 2=1.41421
1.41421 x 4 = 5.657
Consider this quadratic equation.
x2 + 2x + 7 = 21
The number of positive solutions to this equation is
_____.
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is
_____.
Step-by-step explanation:
work is shown and pictured
what is the value of the expression why y=2
Answer:
Where’s the problem
Step-by-step explanation:
The area of a circle is pi(9x^2 + 42x +49). What is the circumference of the circle? Plz help will mark brainliest!
Answer:
2pi(3x + 7)
Step-by-step explanation:
In order to solve for the circumference, consider the area and circumference formulas. What is common among them? The radius. Take a look at their formulas below;
[tex]Circumference = 2\pi r,\\Area = \pi r^2,\\\\Where, r = radius[/tex]
Now if the area of this circle is given to be π ( 9x^2 + 42x + 49 ) we can plug it into the area formula as " Area " and solve for r ( radius );
[tex]\pi * ( 9x^2 + 42x + 49 ) = \pi r^2,\\( 9x^2 + 42x + 49 ) = r^2[/tex]
As you can see, π was eliminated on either side of the equation, leaving us with the simplified equation ( 9x^2 + 42x + 49 ). This expression is a perfect square. How so? Well you can rewrite the expression as ( 3x )^2 + 2 * ( 3x ) * ( 7 ) + ( 7 )^2, or ( 3x + 7 )^2;
[tex]( 3x + 7 )^2 = r^2,\\r = | 3x + 7 |,\\r = 3x + 7, r = - 3x - 7\\\\Solution, r = 3x + 7[/tex]
If r = 3x + 7, let us plug it into the circumference formula as to solve for the circumference;
[tex]Circumference = 2\pi r,\\Circumference = 2\pi * ( 3x + 7 )[/tex]
Solution = 2pi(3x + 7)
A student gets 9 out of 15 problems correct on a homework assignment. What percent of the assignment did the student get incorrect? Enter your answer in the box.
Answer:
If he got 9 out of 15 correct, he got 6 problems incorrect.
6/15 is incorrect
6/15 × 100
40 % is your answer
Answer:
40% are incorrect
Step-by-step explanation:
If 9 are correct then 15-9 = 6
6 are incorrect
6/15 = 2/5
Change to a percent
2/5 *20/20 = 40/100
Percent means out of 100
40% are incorrect
can someone help me please
To calculate mean you add up all the numbers you have, then divide it by the total pieces of data, for example: 2 4 3 1 = 2+4+3+1=10 10÷4=2.5
To calculate median, you find the middle number, it helps to put the numbers in order. If there are two middle numbers, add them up and divide by 2.
To calculate mode, you find the number that appears the most.
Comment if you want the answers.
Expand & simplify: (x + 1)(x + 3)
Answer:
368
Step-by-step explanation:
Answer:
x squared+ 4x + 4
Step-by-step explanation:
A drawing has a scale of 1:40.
On the drawing, a bedroom is a rectangle measuring 10cm by 18cm.
A kitchen has an actual area of 300,000cm^2.
Which has the bigger area? Show working out.
Answer:
area of the kitchen
Step-by-step explanation:
in real life the dimensions are 10*40=400 cm=4 m and 18*40=720 cm=7.2 m
Area of the bedroom is A=4*7.2=28.8 m^2
Area of the kitchen is 300.000 cm^2=30 m^2
30>28.8
The bigger area is area of the kitchen
The bigger area between bedroom and kitchen is kitchen which is 30 m^2
What is area?Area can be find of l length and b breadth sides is
Area = l b
How to find area?Here the scale of bedroom is given that is 1 : 40
If bedroom is rectangle and measuring 10 cm and 18 cm then dimensions are
l = 10x40 = 400 cm = 4 m
b = 18x40 = 720 cm = 7.2 m
Therefore the area will be
Area of bedroom = 4x7.2 = 28.8 m^2
And we have given
Area of the kitchen = 300,000 cm^2
Convert into m^2 we have
Area of the kitchen = 30 m^2
This shows the area of the kitchen is bigger than the area of the bedroom
This is the conclusion to the answer.
Learn more about area here-
https://brainly.com/question/24487155
#SPJ2
Faith borrowed $2250 for home repairs. She paid back 24 payments of $132 each. How much did she pay in interest on the loan?
Explained answer please!
Answer:
0.17%
Step-by-step explanation:
if she paid 24 payments of $132, then as a total she paid 132 x 24 = 3168.
formula for simple interest = p x r x t divided by 100
difference : 918
so, 22500 x r x 24 divided by 100 = 918
22500 x r 24 = 91800
24r = 4.08
r = 4.08 divided by 24 = 0.17%
Please mark brainiest.
The upper and lower quartiles are the _______________ of each half of the data.
A. mean
B. mode
C. median
D. none of the above
Answer:
A..... I guess the answer must be A
What are the coordinates of the image of the point (2, –6) under a dilation with a center of (0, 0) and a scale factor of 1/2 ? A. (0, 0) B. (1, –3) C. (2, –6) D. (4, –12)
Answer:
B. (1, -3)
Step-by-step explanation:
When you dilate from the origin (0, 0) by a scale factor of 1/2, multiple each coordinate point by 1/2.
(2, -6)
2 × 1/2 = 1
-6 × 1/2 = -3
(1, -3)
I hope this helps :))
Answer:
The answer is (1,-3)
Step-by-step explanation:
I took the test :)
yuhh get in too ittt
Answer:
A
Step-by-step explanation:
16x-16=4y
4(4x-4)=4y
y=4x-4
Therefore, the correct answer is choice A. Hope this helps!
Answer:
16x-16=4(4x-4)
Step-by-step explanation:
16x-16=4(4x-4)
4(4x)=16x
4(-4)=-16
Jun-seo notices that there are 13 right-handed players on his baseball team and 2 left-handed players. What is the ratio of right-handed players to left-handed players?
Answer:
The ratio of right handed to left handed players is 13 to 2
Step-by-step explanation:
Here in this question, we are asked to give the ratio of right handed to left handed players.
To give this ratio, we shall need to know the numbers of right handed players and left handed players.
From the question, we can see that there are 13 right handed and 2 left handed players.
Thus, the ratio of right handed to left handed players is 13:2
Which of the following phrases are inequalities?
Choose 3 answers:
Answer:
option b,c,d
Step-by-step explanation:
Given choices are
A: x^2-5x+6
B: 11> (w-4)^2
C: y< 3^4
D: 5+9<5\cdot 95
E: \dfrac{z+11}{2z-1}
Inequality is the phrase that contains variables or numbers and inequality symbols like < or > or <= or >=
option A goes not have inequality symbol , so it is not an inequality
Option B has > symbol. It is an inequality
Option C has < symbol. It is an inequality
Option D has < symbol. It is an inequality
Option E has only fraction. So it is not an inequality
If f(x) = 49- x and g(x) = 7-, which is the rule of the function (8-3)(x)?
a
-x2 - X+ 56
b. x? - 7x2 - 49x + 343
7+X
d. x2 + x +42
C.
Please select the best answer from the choices provided
A. B. C. D.
Answer:
B ) x³ -7 x² -49 x +343
(f .g) (x) = x³ -7 x² -49 x +343
Step-by-step explanation:
Explanation:-
Given f(x) = 49 - x² and g(x) = 7-x
(f .g) (x) = f(x) .g(x)
(f .g) (x) = ( 49 - x² ) (7-x)
= 49 ((7-x))- x²(7-x)
= 343 -49 x -7 x² + x³
(f .g) (x) = x³ -7 x² -49 x +343
Conclusion:-
(f .g) (x) = x³ -7 x² -49 x +343
Help me out with this question
Hi! I'm here to help. So what you're gonna wanna do is do 6 divided by 2.
6 / 2 = 3
Have a good day/night!
Answer:
[tex]2/6=1/3[/tex]
The sum of interior angles of a triangle are: 78°,39° and a°. Find the value of a° a. 117° b. 102° c. 93° d. 63° e. Other:
Answer:
d. 63
Step-by-step explanation:
sum of 3 interior angles= 180°
78°+39°+a=180°
a= 180°- 117°
a= 63°
Answer:
D. 63°
Step-by-step explanation:
The Triangle Sum Theorem says that all of the angles in a triangle add up to 180°.
78° + 39° = 117°. Think of it like algebra. 180° - 117° = 63°. I hope this helps :)
Can someone help me please
Answer:
AA similarity
Step-by-step explanation:
Respective angles of both triangles are 40°, 50° and 90°
AA similarity is the case:
If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.Solve 3^x - 5. What are the exact and approximate solutions?
Answer:
x = log(5) / log(3)
x=1.46497
Step-by-step explanation:
3^x - 5 =0
Add 5 to each side
3^x = 5
Take the log of each side
log 3^x = log 5
We know log a^b = b log (a)
x log (3) = log (5)
Divide side by log (3)
x = log(5) / log(3)
x=1.46497
which 3 sticks should he use (there’s a picture of the problem)
Answer:
The answer is number three
Step-by-step explanation:
I know this because the formula for pythageon theorm is. (A)squared + (B)squared = (C)squared so if you substitude the value of number three into the therom it would be equal to this 6x6+8x8=10x10
then if you simplify it would equal 36 + 64 = 100 and so this would satisfy the therom.
What effect will 4 have on the graph of y = sin(x)?
Answer:
The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.
The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.
Step-by-step explanation:
The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]
The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.
The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.
The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.
Please help me answer these two questions!! Brainliest to be given!!
Answer:
a=2
b=93
I hope this helps you
Step-by-step explanation:
Answer:
1. 2
2. 93
Step-by-step explanation:
First we have to put the values of x and y into the equation
4(3)-2(5)
(4×3)-(2×5)
12-10=2
Now the second one
2(3)²+3(5)²
18+75=93
What is the unit price for an ounce of coffee if a 120-ounce package costs $9.60?
answers
_______________________________
Hey!!
Solution,
cost of 120 ounce of coffee= $9.60
cost of an ounce of coffee= 9.60/120
=$ 0.08
Hope it helps
Good luck on your assignment
_____________________________
Answer:
So for an estimation my answer would be 0.08
Step-by-step explanation:
Do 9.60 divided by 120.
Hope this helps, have a good day! :)
(Picture of formula and work below)
(-11/2 x + 3) -2(-11/4 x - 5/2) writen in the simplest form, I'm doing summer school
Answer: 8
Step-by-step explanation:
(-11/2x + 3) -2(-11/4x - 5/2)
Distribute
-11/2x + 3 + 22/4x + 10/2
Simplify 22/4x and 10/2
-11/2x + 3 + 11/2x + 5
Cancel out 11/2x and -11/2x
3 + 5
Add 3 and 5
8
Answer:
8
Step-by-step explanation:
(-11/2 x + 3) -2(-11/4 x - 5/2)
Distribute
-11/2 x + 3 +11/2 x + 5
Combine like terms
-11/2 x +11/2 x + 5+3
8
I really need to get this rain I will give you Brainlyest or whatever that thing is called if you get this right
Answer: A. SSS
Step-by-step explanation:
The two triangles are congruent through SSS which means Side-Side-Side. This is because each side of the triangle correlates between the two of them. They both have a 8, 6, and 3 side.
Answer:
SSS
Step-by-step explanation:
The given triangles have 3 equal sides: 3, 6 and 8
So the answer is SSS (side-side-side)