Answer:
0.1070 = 10.70% probability that between 40% and 45% will say that math is the most important subject
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
37% of Americans say that math is the most important subject in school.
This means that [tex]p = 0.37[/tex]
Sample of 400 Americans
This means that [tex]n = 400[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.37[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.37*0.63}{400}} = 0.0241[/tex]
What is the probability that between 40% and 45% will say that math is the most important subject?
This is the pvalue of Z when X = 0.45 subtracted by the pvalue of Z when X = 0.4. So
X = 0.45
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.45 - 0.37}{0.0241}[/tex]
[tex]Z = 3.31[/tex]
[tex]Z = 3.31[/tex] has a pvalue of 0.9995
X = 0.4
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.4 - 0.37}{0.0241}[/tex]
[tex]Z = 1.24[/tex]
[tex]Z = 1.24[/tex] has a pvalue of 0.8925
0.9995 - 0.8925 = 0.1070
0.1070 = 10.70% probability that between 40% and 45% will say that math is the most important subject
What is the solution to -418-3x) 2 6x - 8?
O X2
O xs-1/
O X 24
O x 34
Answer:
O X 24
Step-by-step explanation:
i think this is the right answer
Can i please get some help please?
I need help with B
Answer:
it b7857575757575757575757575775757575757577575757575757575757756886868686979708
Step-by-step explanation:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
What is is one plussssssssss one
Answer:
2.
Step-by-step explanation:
1+1=2
Answer:
1+1=2
Step-by-step explanation:
Hope this helps :D
Juan Carlos has been asked to find the distance between two points ( -3, 2) and (12, 10)on a coordinate grid. How many units are the legs of the right triangle?
Answer:
The legs of right triangle are of 17 units
Step-by-step explanation:
The two points are as follows -
Point A ( -3, 2)
Point B (12, 10)
The distance between the two points is as follows -
[tex]\sqrt{(12-(-3))^2 + (10-2)^2} \\\sqrt{225 + 64} \\17[/tex]
The legs of right triangle are of 17 units
Your drawer contains 6 black socks and 8 white socks you randomly choose 2 socks without putting any back. What is the probability that both socks are black
Answer:
Step-by-step explanation:
First, you have to find the total number of socks. The total is 14. Now, since you choose 2 socks out of 14 in total, the probability is 2/14 or about 14%. To find the percent, just divide the numerator by the denominator. The answer you get is in decimal form. Multiply the decimal by 100. Then, there is your percent.
In ΔQRS, q = 1.3 cm, r = 7.6 cm and s=7 cm. Find the measure of ∠Q to the nearest 10th of a degree.
Answer:
9.1
Step-by-step explanation:
If...=50,what is the value of x ?
the answer is A plus or minus square root of 50
you have 1,000,000 number cubes, each measuring one inch on a side. if you arranged the cubes on the floor to make a square what would it's dimension be
Answer: 1000 in.
Step-by-step explanation:
Given
The dimension of the small cube is [tex]1\ in.[/tex]
No of the cubes is [tex]10^6[/tex]
If the small cubes are arranged on the floor
The area of the cubes is
[tex]\Rightarrow 10^6\times 1^2\ in.^2[/tex]
Suppose the side length of a large cube is a
[tex]\therefore a^2=10^6\times 1^2\\\\\Rightarrow a=1000\ in.[/tex]
please help this is do tommorow
Answer:
[tex]x \alpha y[/tex]
that is the variation
x=ky
In Triangle QRS, X is the midpoint of QR, Y is the midpoint of RS, and Z is the midpoint of QS.
Also, XR = 5, YS = 7, and QS = 20.
What is the perimeter of the Triangle XYZ?
Answer:
Step-by-step explanation:
I just answered this for someone else... here is the same answer I gave them
QR + RS +SQ = perimeter
2(XR) + 2(YS) + QS = perimeter ( b/c multiplication is communicative SQ=QS)
2*5 + 2 * 7 + 20 = perimeter
10 + 14 + 20 = p
44 = p
9.5 inches
sreball tournament and were awarded this trophy
4.0 inches
9.5 inches
What is the volume of the trophy? Let I 3.14. Round the answer to the nearest hundredth.
O A 543.15 in
OB. 172.97 in
O c. 733 32 in
OD 206.63 in
Right now, it's colder than 80ºF outside. Which inequality represents t, the temperature outside?n have?
Answer:
t<80°
Step-by-step explanation:
if the value is less than, use <
me box plots below compare the heights or the gins and the boys the seventh grade at Helzor
Middle School
Boys' Heights
Gifs Heights
HEHEHE
30 40
70
Heights (inches)
which statement is true based on the information in the box plots above?
F. The boys' heights have a center height about 10 inches larger than the gets heights.
The boys' heights have a larger spread than the girls heights.
The whiskers on the box plot of the inte heights are more varied in length than the whiskers on
the box plot of the boys heights.
At least one boy and one gitare 72 inches tall
Step-by-step explanation:
Wait, what are you trying to ask?
It’s question 2
Help
Answer:
The answer to this one could be 8.2 for x
Step-by-step explanation:
Hope this Helped
The cost to ship goods varies directly with the mass. Paul paid $20.40 to ship a package with mass 24kg. Write an equation for this relationship. HELP
Answer:
$10.01
Sana maka tulong po pa like hehdhdhdhdhdhdehehehehehehehe
Please help me with the math problem!!!!
Answer:
It should be S+14. :)
Step-by-step explanation:
It is because it says it rained 2 more inches each day, so you simply count by 2, 7 times to reach your answer of 14. HOPE THIS HELPS U! :}
I will fail if I don’t get this done and it is so confusing. Math is just ending me right now. :(
What question do you need to get or is it all?
Which of the following are solutions to the equation below?
Check all that apply.
3x^2 + 10x-30 = x
Answer:
x1= -5
x2= 2
Step-by-step explanation:
Help extra points please !
Answer:
C. -1 is less than x
Step-by-step explanation:
-3 < 4x + 1
-3-1 < 4x +(1 -1)
-4 < 4x
-4/4 < 4x/4
-1 < x
Ryan and his children went into a bakery and will buy cupcakes and donuts each cupcake cost $4.50 and each donut cost $1.75 Ryan has a total of $40 to spend on cook cupcakes and donuts right in any quality that would represent the possible values for the number of cupcakes purchased C and the number of donuts purchased d
Answer:
Step-by-step explanation:$4.50+1.75/40=6.4
The radius of a frisbee is 5 inches. What is the circumference of the frisbee in terms of (pi)?
Answer:
10π inches
Step-by-step explanation:
C = 2πr
C = 2π(5)
C = 10π ≈ 31.42
Two people are standing in a field. One person is flying a kite with a string that is
300 ft long. When the kite is directly above the second person, the cosine value of
the angle made by the string and the ground is :
How far apart are the two people?
The distance between two people or the distance of the adjacent is 150 ft.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjacent/hypotenuse and
tan = opposite/adjacent.
The distance of the string can be thought of as a hypotenuse which is 300 ft long.
The angle it is making with the hypotenuse is cosine 60° and the distance they are apart can be thought of as an adjacent.
Therefore, cos = adjacent/hypotenuse.
cos60° = adjacent/300.
1/2 = adjacent/300.
adjacent = 300/2.
adjacent = 150 ft.
Q. Two people are standing in a field. One person is flying a kite with a string that is 300 ft long. When the kite is directly above the second person, the cosine value of the angle made by the string and the ground is
60°, How far apart are the two people?
learn more about trig ratios here :
https://brainly.com/question/14977354
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There is space for 120 students to go on a field trip. Currently, 74 students have signed up. Write and solve an inequality to find how many more students can sign up for the field trip.
Please help
Answer:
46
Step-by-step explanation:
[tex]120 - 74 = 46[/tex]
8.
The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula P = 2ℓ + 2w to find the length of the frame if the width is 19 inches.
A. 15 in.
B. 17 in.
C. 20 in.
D. 19 in.
Answer:
B. 17 in.
Step-by-step explanation:
2l + 2w = 72
2l + 2(19) = 72
2l + 38 = 72
2l = 34
l = 17
Hope this helps!
For Tyler's lemonade recipe, 2 lemons are required to make 10 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?
Answer: 1 lemon per 5 cups of lemonade
Step-by-step explanation: We know that 2 lemons can make 10 cups of lemonade. We can write this as the ratio 2:10. To find how many cups of lemonade are made per lemon used, we have to simplify the ratio to 1:5.
Guys, I need help:
Nolan is buying a season pass to a performing arts center.
One performing art center charges $100 for the pass, plus $15.00 to park each visit.
Another performing arts center charges $75 for the pass, plus $20.00 to park each visit.
How many times would Nolan need to visit the two performing arts centers for the cost to be the same?
Answer:
5 times is the answer
What is JL? (I need the work)
Answer:
A:4.5
Step-by-step explanation:
hdjdjdhruehrbfjfjenrnrjdnd
Answer:
1, 3, and 4 which means 2 is the answer.
Step-by-step explanation:
Answer:
the first option (3 units to the right of 0)
Step-by-step explanation:
-3 on a number line is 3 units behind 0, which is to the left
The yearly salaries for each of four employees at Mattress city are shown.
Which statement is NOT supported by the data?
F. The average distance between each salary and the mean salary is $8,250.
G. The salary of the employee that has been with the company the longest is the largest.
H. The mean salary for an employee of Mattress City $39,250.
J. The salaries for employees at Mattress city show a variation from the mean that is greater than $6,000.
Answer:
i have the same problem :(
Step-by-step explanation:
have you gotten an answer yet?
Option J is not supported by the data
What is mean value ?The mean of a data set is actually the average value which is found by adding all numbers in the data set and then dividing by the number of values in the set.
How to find which options is not supported?The mean values of the salaries= $(50000+45000+32000+30000)/4
=$39250
Clearly we can see option H is correct.
Distance between first salary and the mean is $|50000 - 39250| =$10750Distance between second salary and the mean= $|45000-39250|=$5750Distance between third salary and the mean is $|32000-39250|=$7250Distance between fourth salary and the mean is $|30000-39250|=$9250So, average distance between each salary and mean salary is
$(10750+5750+7250+9250)/4 =$8250
Clearly, option F is correct also.
Option J is not correct because the variation of second salary with the mean is $5750 which is less than $6000.
So, option J is not supported.
Find out more about 'Mean value (Average)' here: https://brainly.com/question/20118982
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What is 1,000,000 x 1,000,000
Will give brainliest.
Answer: 1e+12
Step-by-step explanation:
Answer:
[tex]1000000 \times 1000000 \\ = 1000000000000[/tex]
It's 1 Million *1 Million
=1 Trillion (According to USA)