Answer:
a) This is the p-value of Z when X = A subtracted by the p-value of Z when X = B.
b) P-value of Z when X = 76 subtracted by the p-value of X = 68.
c) Because the underlying distribution(pulse rates of females) is normal.
Step-by-step explanation:
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes 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.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].
standard deviation of beats per minute.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between A beats per minute and B beats per minute.
This is the p-value of Z when X = A subtracted by the p-value of Z when X = B.
b. If 4 adult females are selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76 beats per minute.
Sample of 4 means that we have [tex]n = 4, s = \frac{\sigma}{\sqrt{4}} = 0.5\sigma[/tex]
The formula for the z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - \mu}{0.5\sigma}[/tex]
[tex]Z = 2\frac{X - \mu}{\sigma}[/tex]
This probability is the p-value of Z when X = 76 subtracted by the p-value of X = 68.
c. Why can the normal distribution be used in heartbeat even the sample side does not exceed 30?
Because the underlying distribution(pulse rates of females) is normal.
Anna has 80 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many pennies as dimes, how many pennies are in her piggy bank?
Answer:she has 20 pennies because
Step-by-step explanation:80 divide by 4 = 20
Sydney says that altogether they have placed 2/3 of the eggs into Tanks A and B. Is Sydney correct?
-1/6 of the eggs into Tank A
-4/9 of the eggs into Tank B
Answer:
Sydney is incorrect
Step-by-step explanation:
We cannot start adding Tanks A and B because they have a different denominator.
So we have to find the Least Common Denominator (LCD)
The LCD is 18 so...
[tex]\frac{2}{3} =\frac{12}{18}[/tex]
I'm sorry I gtg to class...
Solve for the variable then find the missing angle.
Answer:
Step-by-step explanation:
40+40=3x+20(sum of two interior opposite angle is opposite to the exterior angle formed)
=80=3x+20
=80-20=3x
=60/3=x
=20=x
substitute the value of x
=3x+20
=3*20+20
=60+20
=80
v+71=107 degree(sum of two interior opposite angle is equal to the external angle formed)
=v=107-71
=v=36 degree
A sociologist studying fertility in France and Switzerland wanted to test if there was a difference in the average number of babies women in each country have. The sociologist obtained a random sample of women from each country. Here are the results of their test:
Country Sample Size n Mean SD France 100 1.85 1.3 Switzerland 100 1.65 1.2
At the alfa-.05 level of significance, is there sufficient evidence to conclude that there is a difference in the average number of babies women in each country have?
a. Yes, test statistics z- 1.13 and p-vaue is.125
b. No, Test statistics z= 1.13 and p-value is .258
c. Yes, the test statistic Z- 1.13 and p-valve is 258
d. Yes, test statistics T 1.13 and p-value is .258
Answer:
b.
Step-by-step explanation:
From the given information:
Null and alternative hypothesis is:
[tex]H_o : \mu _{france} = \mu_{switzerland} \\ \\ H_a : \mu _{france}\neq \mu_{switzerland}[/tex]
Given:
Number of babies France Switzerland
Sample size (n) 100 100
Mean 1.85 1.65
SD 1.3 1.2
The test statistics can be computed as:
[tex]Z = \dfrac{\bar x_{france} - \bar x_{switzerland}}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}}[/tex]
[tex]Z = \dfrac{1.85- 1.65}{\sqrt{\dfrac{1.3^2}{100}+\dfrac{1.2^2}{100}}}[/tex]
[tex]Z = \dfrac{0.2}{\sqrt{0.0313}}[/tex]
[tex]Z = 1.130[/tex]
degree of freedom = [tex]n_1 + n_2 -2[/tex]
= 100 + 100 -2
= 200 -2
=198
At 0.05, using the [tex]t_{dist}[/tex] table;
P-value = [tex]t_{dist} (1.130,198,2)[/tex]
P-value = 0.258
Since P-value is greater than ∝ = 0.05, We fail to reject [tex]H_o[/tex]
We conclude that there is No statistical difference at the 0.05 level. Hence [tex]\mu_{france} \neq \mu_{switzerland}[/tex]
The significance level shows that there is no sufficient evidence to conclude that there is a difference in the average number of babies as B. Test statistics z= 1.13 and p-value is 0.258
What is a significance level?It should be noted that a significance level simply means the probability that an event could have taken place by chance.
In this case, the test statistic will be:
= (1.85 - 1.65)/(✓1.3²/100 + 1.2²/100)
= 1.13
This is a two tailed test. Therefore, the p value will be:
= 2(1 - 0.87076)
= 0.258
Therefore, the p value is more than 0.05 and there's no sufficient evidence to reject the null hypothesis.
Learn more about significance level on:
https://brainly.com/question/4599596
Need help! Algebra 2. Sorry for the weird pattern on the pic
Answer: D
How to: Find the asymptotes.
Vertical Asymptotes: x = − 1
Horizontal Asymptotes: y = 0
No Oblique Asymptotes
Have a great day and stay safe !
Four times the difference of a number and 16.
Answer:
4(n-16)
Step-by-step explanation:
4 Four
( ) Times
n number
16 16
- difference
Pleaseee answer thisss!!
76+2x=180
180-76=2x
104=2x
X=52
Answer:
x=52
Step-by-step explanation:
360=76+90+90+2x
2x=360-256
x=104/2
x=52
Hurry which one
A.144
B.204
C.408
D.1200
Answer:
B) 204
Step-by-step explanation:
Rectangle 12 * 12 = 144
+
(2) Triangle A=h (b/2) = 12*(5/2) = 30 each
Which expression represents 1/64
a. 2(6)
b. 8 1/2
c. -4(3)
d. 2 (-6)
Answer:
The answer is B
Hope this helps
Brainliest??
Q11. A car uses 25 litres of petrol to travel 176 miles. How far can the car travel using 44 litres
?
[2]
Duration and how far can the car travel using
of petrol? O!!
Step-by-step explanation:
you would do 25 / 25 and 176 / 25 and you would get 1 petrol and 7.04 miles
then 1 times 44 and 7.04 times 44 and that would be 44 petrol and 309.76 miles
Quesion is in picture
Answer:
answe is option 3 is currect ans
Answer:
(x + 1)(x + 2
________
2
Step-by-step explanation:
Good luck.
Find all solutions
for cotx=-1
Answer:
[tex]\cot(x) = -1[/tex] whenever [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] radians, where [tex]k[/tex] could be any integer ([tex]k \in \mathbb{Z}[/tex], which includes positive whole numbers, negative whole numbers, and zero.)
Step-by-step explanation:
[tex]x = 45^\circ[/tex] (as in isoscele right triangles) would ensure that [tex]\displaystyle \cot(x) = 1[/tex]. Since cotangent is an odd function, [tex]\cot(-45^\circ) = -1[/tex].
Equivalently, when the angles are expressed in radians, [tex]\cot(-\pi / 4) = -1[/tex].
The cycle of cotangent is [tex]\pi[/tex] (or equivalently, [tex]180^\circ[/tex].) Therefore, if [tex]k[/tex] represents an integer, adding [tex]k\, \pi[/tex] to the input to cotangent would not change the output. In other words:
[tex]\displaystyle \cot\left(k\, \pi - \frac{\pi}{4}\right) = \cot(-\pi / 4) = -1[/tex].
Hence, [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] would be a solution to [tex]\cot(x) = -1[/tex] whenever [tex]k[/tex] is an integer.
Since [tex](-\pi / 4)[/tex] is the only solution to this equation in the period [tex](0,\, \pi)[/tex], all real solutions to this equation would be in the form [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] (where [tex]k[/tex] is an integer.)
Please help due tomorrow
Answer:
Here's What you do:
Draw a line that comes straight through the middleIt has to create 4 - 90° angles (use a protractor to measure)There's a picture attached on how a perpendicular lines should look like.
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
Multiply 0.06 by 0.021
Answer:
Just multiply:
= 0.06×0.021
= 1.26
is this the right answer I don't even know my answer
Answer:
0.00126
Step-by-step explanation:
If you just ignore the decimals for a second, and focus on the numbers, then when you multiply 6 by 21, you get 126.0. Then move the decimal over 5 spaces, because there are 5 decimal spaces in total. Sorry if my explanation is a little confusing.
Hope that this helps!
If f(x)=2x+17, then f(12)=
Answer:
41
Step-by-step explanation:
Simply substitute 12 to the x:
f(12)=2(12)+17
f(12)=24+17
f(12)=41
An ice cream company did a survey among high school students. It was found that 75 students liked vanilla ice cream and 42 of those students liked chocolate ice cream also. There were 18 students who did not like vanilla ice cream but liked chocolate ice cream. There were 7 students who did not like either vanilla ice cream or chocolate ice cream.
Using a two-way table, predict the number of students who would like chocolate ice cream when 200 high school students participate in the survey. (5 points)
100
40
120
60
Answer:
Step-by-step explanation:
75 42
vanilla choco
A survey shows that in one year, the average number of bilingual employees in an office was 12. Assume that the standard deviation is 3 and the number of bilingual employees is Normally distributed. Include an appropriately labeled and shaded Normal curve for each part.
Required:
a. What percentage of offices have more than 12 bilingual employees?
b. What percentage of offices have less than 10 bilingual employees?
c. What percentage of offices have between 8 and 14 bilingual employees?
Answer:
b
Step-by-step explanation:
Find the value of x that will make A||B
5x +.20
A-
7
B
3x + 60
x = [?]
Enter
Answer:
x=20
Step-by-step explanation:
Both Angles have the same value, as they are opposite angels.
Set your formula up as
5x+20=3x+60
5x=3x+60-20
2x=40
x=40/2
x=20
What is the inverse of the function f(x)= -1/2 (x+3)
Answer:
-2x-3
Step-by-step explanation:
See the image below:) you can use the app photo math, you just take a picture of the problem and it gives you the answer and explains the steps.
I WILL MARK BRAINLIEST (PICTURE INCLUDED)A right triangle ABC is shown below: А 3 units B 5 units The area of the triangle above will equal one half of a rectangle that is 5 units long and units wide. (Input only whole numbers, such as 8.)
The number of residents in a city is 57,000 people. The population is increasing each
year by 1.2%. Write an equation to model this situation.
A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost as a function of the hours x?
A. Y=3x+8
B. Y=2x+12
C. Y=2x for x of 4 or less / y=2x+3x for x of 5 or more
D. Y=2x for x of 4 or less / y=8x+3(x-4) for x of 5 or more
Answer:
A.
Step-by-step explanation:
2/hour
2×4 hours =8 dollars ;
Then 3x(because we dk the time taken, so replaced by x and then times 3)
Equation =8+3x
A car company invests $200,000 in developing auto-car software. Each software costs $150 to produce and
sells for $400. How many software must the company sell break-even? Determine the break-even point.
Refer to the Cost and Revenue equation.
Answer:
Break even unit = 800
Break even point = $320,000
Step-by-step explanation:
Given:
Amount invested (Fixed cost) = $200,000
Each software cost (variable cost) = $150
Selling price = $400
Find:
Break even unit
Computation:
Assume;
Break even unit = a
Total Cost = Amount invested (Fixed cost) + [Each software cost][Break even unit]
Total cost = 200,000 + 150a
Total revenue = Selling price[Break even unit]
Total revenue = 400a
So,
400a = 200,000 + 150a
250a = 200,000
Break even unit = 800
Break even point = 400a
Break even point = 400(800)
Break even point = $320,000
A local college is forming a seven-member research committee having one administrator, three faculty members, and three students. There are five administrators, 14 faculty members, and 18 students in contention for the committee. How many seven-member committees are possible
Answer:
1485120
Step-by-step explanation:
Since the order of arrangement does not matter, we use combination :
Recall :
nCr = n! ÷ (n-r)!r!
For administrator : 1 out of 5 :
5C1 = 5! ÷ (5-1)!1!
For faculty members : 3 out of 14 :
14C3 = 14! ÷ (14 - 3)!3!
For students : 3 out of 18 :
18C3 = 18! ÷ (18 - 3)!3!
5C1 * 14C3 * 18C3 = 1485120
Which pair of expressions below are equivalent (the same)?
1. 2x + 2y and 4xy
2. 3(x + 4) and 3x + 12
3. 7x + 6x and 42x
4. 5x + x + x and 6x
Please help it’s a test !
Answer:
2.
Step-by-step explanation:
2. because 3(x+4) if we distribute 3 in parenthesis we have 3x+12
21-14d factor the expression using gcf
Answer:
7(3 - 2d)
Step-by-step explanation:
21 - 14d
7 is the lagerst common factor
7(3 - 2d)
A is a finite non-empty set. The domain for relation R is the power set of A.(Recall that the power set of A is the set of all subsets of A.) For X⊆ A and Y ⊆A, X is related to Y if X is a proper subsets of Y (i.e., X ⊆Y). Choose the description that accurately describes relation R.
a. Symmetric and Reflexive
b. Anti-symmetric and Reflexive
c. Symmetric and Anti-reflexive
d. Anti-symmetric and Anti-reflexive
Answer:
The answer is "Choice D"
Step-by-step explanation:
Determining the information:
For "[tex]X \subseteq A[/tex] " and "[tex]Y \subseteq A[/tex]", [tex]X[/tex] relates to [tex]Y[/tex] when [tex]X[/tex] and [tex]Y[/tex] has the same cardinality. therefore, R does not have reflective:
For every "[tex]X \subseteq A[/tex]", "[tex]X= X[/tex]" So, X not proper subset of[tex]X[/tex]. So, R does not havereflexive.
R does not have symmetry:
For every "[tex]X \subseteq Y[/tex]" ,then, "[tex]Y \subset X[/tex]" is not true because [tex]X[/tex] not relate to [tex]Y[/tex]. So, R is not symmetric.
R does not have antisymmetric:
When [tex]X[/tex] relates to [tex]Y[/tex] and [tex]Y[/tex] is relate to [tex]X[/tex], then "[tex]X \subset Y[/tex]" and "[tex]Y \subset X[/tex]"[tex]\to X=Y[/tex]
Therefore, R is anti-symmetric.
Choose the correct expression for each Written in word form.8 less than the product of 3 and j
Answer:
3j - 8
Step-by-step explanation:
7 pts
You are making hamburgers for a barbeque with your family and bought 10 2/3 pounds of ground beef. If you want to make 1/3 pound hamburgers, how many burgers can you make from the pounds of ground beef?
What is the unit of temperature to be used when answering gas law problems?
Answer:
Kelvin is used when answering gas law problems.