The z-score is approximately 96.51. None of the given options match the calculated z-score.
The z-score can be calculated using the formula z = (x - μ) / σ, where x is the observed value, μ is the population mean, and σ is the population standard deviation.
In this problem, we are given that in the population, 10% of people have blue eye color. This means that the population proportion of people with blue eyes is 0.10 (or 10%).
Lane observed a sample of 35 people and found that 5 of them had blue eyes. We want to calculate the z-score to determine how many standard deviations away Lane's observation is from the expected population proportion.
First, we need to calculate the population standard deviation (σ) using the population proportion (p) and the sample size (n). Since the population standard deviation is the square root of the population variance, we can use the formula:
σ = √(p * (1 - p) / n)
In this case, p = 0.10 and n = 35, so we can substitute these values into the formula:
σ = √(0.10 * (1 - 0.10) / 35)
≈ √(0.09 / 35)
≈ √0.00257
≈ 0.0507
Now, we can calculate the z-score using the observed value (x), which is 5, the population mean (μ), which is the same as the population proportion (p), and the population standard deviation (σ):
z = (x - μ) / σ
= (5 - 0.10) / 0.0507
= 4.90 / 0.0507
≈ 96.51
Therefore, the z-score is approximately 96.51.
It seems that the provided options for the z-score are not accurate. None of the given options match the calculated z-score.
To learn more about z-score, click here: brainly.com/question/22909687
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What is the value of x
Answer:
the answer will be 10 aka number 1
Step-by-step explanation:
If the left side is 18 and the number above it is half that aka 9 then the other side is 10
pls help w this math question
thx !
hi please help i will mark brain list giving all my points
Answer:
B
Step-by-step explanation:
It looks like addition to me.
Answer:
Its B. Addition Property of Equality
Step-by-step explanation:
Find the square root of the number. -4 square root -32 The square root is
Answer:
-32 + 2i.....
yan po Ang sagot ko jan
So I've noticed a lot of people have been struggling on equations like these : 8 + ( 2 * 7 )
and I'll be explaining an easy way on how to solve it.
So basically 2 * 7 = 14, now we just have to add 8 + 14 which equals 22.
The parenthesis is the equation you have to solve to get your answer and then you just have to either add, subtract, multiply or divide to find your answer.
I hope this helped!
Answer:
Yes, it did. Thank you very much.
Type the correct answer in the box. Round your answer to the nearest tenth.
B
R=?
F = 38 N
501
F = 40 N
Two forces. 5 and 5 are acting on a body, as shown in the figure. The resultant force, RIS
newtons
Please answer
hi hello! please help me.
Answer:
x= -4
Step-by-step explanation:
hope it's helpful to you
Answer:
A) x= -4
Step-by-step explanation:
To solve you must isolate the variable. Do this by using the properties of equality to subtract and divide numbers from both sides of the equation. First, subtract 8x to move all x terms to the right side.
-48=12x
Then, divide both sides by 12
-4=x
NEEDED ASAP WILL MARK AS BRAINLIEST
Here are two right-angled triangles.
Given that tan a = tan b
find the value of x.
You must show all your working.
Explanation:
This might not be how you are supposed to do it but,
We can see the two triangles are similar because AA similarity.
We know that the sides are proportional so we can make:
[tex]\frac{x+2}{x}=\frac{4}{3x-1}[/tex]
We get,
[tex]3x^2+5x-2=4x\\3x^2+x-2\\(3x-2)(x+1)=0\\x=2/3, x=-1[/tex]
Because sides can't be negative, x = 2/3
Answer:
x=2/3 = 0.7
Step-by-step explanation:
X+2/x = 4/3x-1
=(X+2)(3x-1)=4x
(x+2)(3x-1)-4x=0
3x²-x+6x-2-4x=0
3x²+x-2=0
3x²+3x-2x-2=0
3x(x+1)-2(x+1)
(x+1)(3x-2)=0
x+1=0
3x-2=0
x=-1 or 2/3
x=2/3 = 0.7
help :> explain how you did it * quick*
Answer:
answer AStep-by-step explanation:
Because this figure is dilated by the factor of 3 we can infer that the figure before dilation was 3 times bigger than the figure now.
so is AC is 5 now then AC before must have been 15
5*3=15
If the angle of A is 37 now then it must have been 111
37*3=111
I'm not 100% sure about this but I hope it helped :)
Answer:
Hey you once commented on the question if you knew horsleyjaydyn and you said something about her being fake could tell me what you said she was old something don't remember
Step-by-step explanation:
can you help me please
This question is much easier than the last one. As we can see the yellow are is the same as the bottom area with the same shape. And the area of the 2 hemispheres adds together to a full circle area: 3^2*pi=9pi
Area of yellow region=(36-9pi)/2=18-9/2pi=3.862 and round this to the nearest tenth getting 3.9.
Please help me please with math!
Answer: Slope = -32
Explanation:
The given equation is in y = mx+b form
m = -32 is the slope
b = -9/38 is the y intercept
Answer:
slope: -32
Step-by-step explanation:
Use the slope-intercept form to find the slope and y-intercept.
Slope: − 32
y-intercept: ( 0 , − 9/ 38 )
Yuki went on a walk around her school. The school was mapped onto a grid where each unit represented one foot in real life. She started at the entrance, which was located at (50, 25). She walked to the library at (50, 100). Then she went to her math class which was located at (200, 100). She went to her locker at (200, 25) before she went back to where she started. How far did she walk in all?
Answer:
750
Step-by-step explanation:
50+25+50+100+200+100+200+25
NOTE: Angles not necessarily drawn to scale.
Answer:
x = 40°
Step-by-step explanation:
angle A is a vertical angle with 60 so it's 60
60+80 = 140
180-140 = 40
Answer:
[tex]\boxed{\tt x=40^{\circ}}[/tex]
Step-by-step explanation:
∠x, ∠BAC, and ∠CAF form a straight line.
*Sum of angles that are formed on a straight line is equal to 180°.*
[tex]\tt \angle x+\angle BAC+\angle CAF=180^{\circ}[/tex]
[tex]\tt x+\angle BAC+\angle CAF=180^{\circ}[/tex]
[tex]\tt x+80^{\circ}+\angle 60^{\circ}=180^{\circ}[/tex]
Add, 80°+60°=140°
[tex]\tt x+140^{\circ}=180^{\circ}[/tex]
Subtract 140 from both sides:
[tex]\tt x+140^{\circ}-140^{\circ}=180^{\circ}-140^{\circ}[/tex]
[tex]\tt x=40^{\circ}[/tex]
_____________________________
Can Someone Answer this question??
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
460, 451,442
Find the 37th term.
Answer:
37th term = -136
Step-by-step explanation:
Given:
Series;
460, 451 ,442
First term a = 460
Common difference D = 451 - 460 = -9
Find:
37th term
Computation:
37th term = a + 36D
37th term = 460 + 36(-9)
37th term = -136
Answer:
136
Step-by-step explanation:
Arithmetic Sequence.
Common Difference:
451−460=−9
442−451=−9
d=−9
Explicit Formula:
a{n}=a{1}+(n-1)d
a{37}=460+(36)(-9)
a{37}=136
=136
(Got it right on DeltaMath
what is 696969 time 1
Anything times 1 = the same number so 696969x1=696969
Answer:
696969
Step-by-step explanation:
sum of 500 consecutive integers is 250 . what is the product same 500 numbers
Answer:
250 and 2 because i think 250 multiply by 2 is 500
The product of the 500 numbers is 0.
What are integers?Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.
Consecutive integers are whole numbers that follow each other on the number line. For example, 1, 2, 3, 4 .... are consecutive integers.
How to determine the product of the 500 consecutive integers
If the sum of the 500 consecutive integers is equal to 250, it means that the consecutive integers would include negative numbers, zero and positive numbers. If the consecutive integers include zero, the product of the consecutive integers would be equal to zero.
To learn more about products, please check: https://brainly.com/question/3385014
I need help with this math question
Answer:
16675514 Frog
Step-by-step explanation:
[tex]g(25)=14(1.75)^{25} =16675514[/tex]
Write an equation in slope-intercept form for the line that has a slope of 12 and passes through the point (3,20).
y=12x-16
that's the answer
Integer exponents
1. 2(9x - 2y) =
2. 2k3 (2k2 + 5k - 4) =
3. 7(6x2 + 9xy + 10y2) =
4. 8x (6x + 6) =
5. 8r2 (4r2 - 5r +7) =
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Can someone tell me what this is really quick
Answer:
There were no more than 15 fruit snacks in the bag
Step-by-step explanation:
I hope this helps!
Allan and Robert are viewing a kite in the air. The kite
has an altitude of 205 feet. The angles of elevation
from the ground are shown in the picture below.
What is the total distance between Allan (Point A)
and Robert (Point R)?
A. 292.9
B.166.0
C. 458.9
D. 24.5
[tex]tan \: a = \frac{opp}{adj} = \frac{205}{adj} [/tex]
[tex]adj = \frac{205}{ \tan(35) } [/tex]
[tex]adj = 292.7703414[/tex]
//
[tex]tan \: r = \frac{opp}{adj} = \frac{205}{adj} [/tex]
[tex]adj = \frac{205}{ \tan(51) } [/tex]
[tex]adj = 166.0057268[/tex]
//
[tex]292.7703414 + 166.0057268[/tex]
[tex] = 458.7760682 \: ft.[/tex]
round as you wish.
Noah works at a museum and monitors a fish tank. The tank currently has 140
gallons of water when Noah leaves to go home for the night. Overnight, the tank
starts to leak and water is draining at a constant rate of 2 gallons per hour. When
Noah returns to work the next day, he finds the tank after it had been leaking for 4
hours. Select all the statements that could represent the amount of water in the
tank when Noah return to work the next day.
a. 140 + -2
b. 140 + (-2)(4)
C. 140 + (2/4)
d. 140 + 8
e. 140 + -8
f. 138
g. 132
Answer:
B, E, G
Step-by-step explanation:
7x — 3х – 4 = -1 + 21
Answer:
x = 6
Step-by-step explanation:
7x - 3x - 4 = -1 + 21
4x - 4 = 20
4x - 4 + 4 = 20 + 4
4x = 24
4x/4 = 24/4
x = 6
0.734862.. irrational or rational
Answer:
Irrational
Step-by-step explanation:
please help me will mark brainleist (ik i spelled that wrong)
Answer:
its way to blurry nobody can see
Answer:
x power 2 +2x-8 = - 6x power of 3
POSSIBLE POINTS 10
Using the following set of data, find the upper quartile.
17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23
Answer:
Minimum: 8 Q1: 14 Median: 17.5 Q3: 30 Maximum: 32
Step-by-step explanation:
8, 9, 11, 14, 17, 23, 29,30, 32, 32
56 boys and 34 girls visit a zoo.
46 of these children have a voucher.
Three times as many boys as girls do not have a voucher.
Complete the frequency tree.
Answer:
the amount of boys that HAVE a voucher is 23
the amount of girls that HAVE a voucher is 23
Step-by-step explanation:
Answer: follow for more answers concerning maths, biology physics and chemistry
Step-by-step explanation:
Find the value of x.
Answer:
hi i dont know the ans but it have this app called photomath that will help u
que es la radicasion
Answer:
un lugar, típicamente uno que ha estado previamente deshabitado, donde la gente establece una comunidad.
5 times a number is at least 60.
Please help DUE TODAY
Answer:
5 times 12 = 60
Step-by-step explanation:
5 times 12 is at least 60