Answer:
29
Step-by-step explanation:
4 - 25i^2
4 - 25x(-1)
4 + 25 = 29
the ^2 means exponent 2
Sales volume last weekend for four samples, each consisting of five car dealerships, were as follows: Data Point 1 2 3 4 5 Sample 1 21 10 19 35 23 Sample 2 34 44 29 15 30 Sample 3 38 22 29 31 15 Sample 4 47 39 20 16 36 What is the mean of the distribution of sample means
Answer:
Mean of sample means = 22.12
Step-by-step explanation:
Data points 1 2 3 4 5 Sample mean
Sample 1 21 10 19 35 23 21.6
Sample 2 34 44 29 15 30 30.4
Sample 3 38 22 29 31 15 27
Sample 4 47 39 20 16 36 31.6
[tex]Mean of means = \frac{Sum of sample means}{No. of samples}[/tex]
[tex]=\frac{21.6 + 30.4 + 27 + 31.6 }{5} \\= 22.12[/tex]
Answer:
22.12
Step-by-step explanation:
Hope this helps
One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known facts about the population. About 12% of American adults identify themselves as black. Suppose we take an SRS of 1500 American adults and let X be the number of blacks in the sample. Use a Normal distribution to estimate the probability that the sample will contain between 165 and 195 blacks.
Solution :
Given :
p = 12% = 0.12
n = 15..
Mean is defined as the product of a sample size n and the probability p such that :
[tex]$\mu_X = np = 1500 \times 0.12$[/tex]
= 180
Standard deviation may be defined as the square of a product of the sample size n, the probability p and the probability 1-p :
[tex]$\sigma_X = \sqrt{np(1-p)}$[/tex]
[tex]$\sigma_X = \sqrt{1500 \times 0.12 \times (1-0.12)}$[/tex]
≈ 12.5857
The z-score is given by :
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac {165-180} {12.5857 }$[/tex]
≈ -1.19
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac{195-180} {12.5857 }$[/tex]
≈ 1.19
Now determining the corresponding probability using table :
P (165 ≤ X ≤ 195 ) = P (-1.19 ≤ Z ≤ 1.19 )
= 1-2 x P(Z < -1.19)
= 1-2 x 0.1170
= 1-0.2340
= 0.7660
= 76.60%
Given values,
p = 12%= 0.12
n = 1500The mean will be
→ [tex]\mu x = np[/tex]
By putting the values,
[tex]= 1500\times 0.12[/tex]
[tex]= 180[/tex]
The standard deviation will be:
→ [tex]\sigma x = \sqrt{np(1-p)}[/tex]
[tex]= \sqrt{1500\times 0.12\times (1-0.12)}[/tex]
[tex]= 12.5857[/tex]
The z-score will be:
→ [tex]z = \frac{x- \mu}{\sigma}[/tex]
[tex]= \frac{165-180}{12.5857}[/tex]
[tex]= -1.19[/tex]
and,
→ [tex]z = \frac{195-180}{12.5857}[/tex]
[tex]= 1.19[/tex]
hence,
The probability will be:
→ [tex]P(165 \leq X \leq 195) = P(-1.19 \leq Z \leq 1.19)[/tex]
[tex]= 1-2\times P(Z < -1.19)[/tex]
[tex]= 1-2\times 0.1170[/tex]
[tex]= 1-0.2340[/tex]
[tex]= 0.7660[/tex]
[tex]= 76.60[/tex] (%)
Thus the answer above is right.
Learn more about probability here:
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Find the mean,median,mode.and range of the data set:12,15,17,16,10
Answer:
Mean: 14
Median: 15
Mode: All values appear just once
Range: 7
how to graph an inequality y<1-2x
Answer:
Step-by-step explanation:
Q: Find six rational numbers between 3 and 4 .
Answer:
Six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6.
Answer:
six rational numbers between 3 and 4 are 227 , 237 , 247 , 257 , 267 , 277
Please help please please
Answer:
1078m²
Step-by-step explanation:
Formulas:
Total Surface Area = 2B + Ph
Area = 1/2bh
Solve:
19 × 17 = 323
19 + 19 + 17 + 17 = 72
h = 6m
B = 323m
P = 72m
Total Surface Area = 2(323m) + (72m × 6m) = 1078m²
Bob mixed 5/8 cup of water and 1/8 cup of lemon juice in a cup. The rest of the mixture was lime juice. How much lime juice did Bob add if the cup was full?
Answer: thats a good question
Step-by-step explanation:
Answer: he will add 2/8 more so it can be full.
Step-by-step explanation: you divide 2/8 by 5/8 and you'll get 1/8.
please give me brainlest
What is the solution set for 4x+ 9 <17?
A- x>2
B- x<2
C-x>4
D-x<4
Answer:
The awnser is d i think
take your time please.
Step-by-step explanation:
6/5(4)=24/20
1/2(5)=5/10
3/9(7)=21/63
3/8(5)=15/40
4/3(9)=36/27
2/4(8)=16/32
9/6(2)=18/12
7/5(6)=42/30
4/7(3)=12/21
need answers 2 and 3
Answer:
2. 10^38, or 10 to the power of 38.
3. 10^15, or 10 to the power of 15.
Step-by-step explanation:
2. If you are multiplying two individual 10's with each having its own power, add the powers together to form an answer. DO NOT ADD THE 10'S TOGETHER!!! Since 10^32 is being multiplied by 10^6, you would write it as 10^38.
3. Because you have 10 cubed inside the bracket, with an exponent of 5 outside of the bracket, you multiply the brackets together. DO NOT MULTIPLY 10!!! So, 5 x 3 equals 15, You would get 10^15.
The function, f(x), is plotted below.
Evaluate the limits, if they exist. If not, write DNE.
Limit as x approaches negative 1 minusf(x) =
Limit as x approaches 3 plusf(x) =
Limit as x approaches 1 f(x) =
Answer:
1
2
DNE
Step-by-step explanation:
Select the correct an
Sally rents a life jacket for a one-time fee of $5. She then
rents a canoe for $15 per hour. Which expression
represents the total cost, in dollars, to rent the life jacket
and the canoe for h hours?
A. 5+15h
OB. 10h
C. 15+5h
OD. 20h
Answer: The answer for this question is "A": 5 + 15h
find the volume if the cylinder. round to the nearest tenth if nessesary.
A. 627.5m^3.
B. 843.4m^3.
C. 986.4^3.
D. 1017.9n^3
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.
a. Test, at the 5% significance level, if this sample provides evidence that the proportion of Americans who are dissatisfied with education in kindergarten through grade 12 differs significantly from 50%.
b. Is the Test Significant? Why or Why not.
Answer:
Yes, result is significant ; PVALUE < α
Step-by-step explanation:
Given :
x = 536
n = sample size = 1012
Phat = x / n = 536 / 1012 = 0.5296 = 0.53
H0 : P0 = 0.5
H1 : P0 > 0.5
Test statistic :
(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]
1-P0 = 1 - 0.5 = 0.5
(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]
0.03 ÷ 0.0157173
= 1.9087
Pvalue :
Using the Pvalue from test statistic :
Pvalue = 0.02815
To test if result is significant :
α = 0.05
0.02815 < 0.05
Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.
What probability statement would you add to P(blue) = 1 10 to make a complete probability model for the event choosing a foam ball at random from the box?
Answer:
The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth. This problem asked us to find some probabilities involving a spinner.
A package contains 6 cups of cereal. Each serving is 1/4 cup of cereal. How many serving are there in all?
Answer:
1 and 2/4 I think
Step-by-step explanation:
Answer: 24
Step-by-step explanation: 4•(1/4)=1
4•6=24
which of the following is the quotient of the rational expression shown below? x/3x-1 ÷ x-2/2x
Step-by-step explanation:
[tex] \frac{x}{3x - 1} \div \frac{x - 2}{2x} = \\ = \frac{x}{3x - 1} \times \frac{2x}{x - 2} = \\ = \frac{2 {x}^{2} }{3 {x}^{2} - 7x + 2} [/tex]
hey guys i got one more- 8 mi.=_yd. Thanks!!!(PLEASE ANWER FAST!!)
Answer:
if mi stands for miles then 8 miles = 14080 yards
Step-by-step explanation:
8 x 1760
Answer:
14080
Step-by-step explanation:
8 * 1760 = 14080
Jessa is playing a board game and rolls two dice. Let A = {the sum of the dice is even}, and let B = {the sum of the dice is divisible by 3}. List the outcomes in A ∩ B.
The Intersection of events A and B (A ∩ B) in this particular scenario has no outcomes, as there are no combinations that satisfy both the conditions of having an even sum and being divisible by 3.
The outcomes in the intersection of events A and B, we first need to identify the possible outcomes for each event.
Event A represents the sum of the dice being even. For a pair of dice, there are a total of 36 possible outcomes (6 sides on the first die multiplied by 6 sides on the second die). Out of these outcomes, half will result in an even sum. This is because if one die shows an odd number, the other die must show an even number to achieve an even sum. Therefore, Event A consists of 18 outcomes.
Event B represents the sum of the dice being divisible by 3. To determine the outcomes for Event B, we need to identify the combinations of numbers on the dice that add up to a multiple of 3. There are four such combinations: (1, 2), (2, 1), (2, 4), and (4, 2). These four combinations result in a sum that is divisible by 3. Hence, Event B consists of four outcome.
The outcomes in the intersection of A and B (A ∩ B), we need to identify the outcomes that satisfy both conditions, i.e., the outcomes that are both even and divisible by 3. From the information above, we know that Event A has 18 outcomes and Event B has four outcomes. However, none of the outcomes satisfy both conditions simultaneously. Therefore, the intersection of A and B (A ∩ B) has no outcomes.
It is important to maintain academic integrity by avoiding plagiarism. Plagiarism involves using someone else's work or ideas without proper attribution. To ensure originality, it is essential to express the information in your own words and provide accurate explanations based on the given data.
In conclusion, the intersection of events A and B (A ∩ B) in this particular scenario has no outcomes, as there are no combinations that satisfy both the conditions of having an even sum and being divisible by 3.
To know more about Intersection .
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What is the answer please help no links no links please help
Please Help! SCAMMERS WILL BE REPORTED! Use Cramer's Rule to solve the following system
-2x- 6y = -26
5x + 2y = 13
Answer:
x=1,y=4
Step-by-step explanation:
x=1,y=4
Help me please! Thank you!
Answer:
the answer is 12
Match the vocabulary to the proper definition.
1. a conclusion based on the results of evidence
2. a question that leads individuals towards a certain answer
the collection, organization, and analysis of numerical
3.
information
a sample in which every member of the population has an
4.
equal chance of being selected; unbiased sample
5. a sampling of a population used to make predictions
Answer:
I got an answer
Step-by-step explanation:
1 is inference
2 is biased question as individuals are lead towards an answer that aligns with what the one who made the question wants
3 is statistics
4 is random
5 is survey
(i will mark brainly)
Use the table to write a proportion.
Answer:
One proportion is 15 songs / 2.5 hours = 18 songs / h hours.
ok I'll try to answer
first the given 15/2.5=18/h
so the second hour is missing so we have to multiply cross then the result will be
15h=45
divide 15 for 15 and we got h
again divide 45 for 15
[h=3]
Find q. q/32=6 q=? Help
Answer:
q=0
Step-by-step explanation:
Hope this helped!!
the answer is 192
Step-by-step explanation:
q/32 = 6
q = 192
Draw a plane intersecting a cube to get the cross section indicated. rectangle
OA
OB
OC
OD
The relative growth rate for a certain type of bacteria population is 78% per hour. A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture. What is the initial number of bacteria in the culture? us this formula to solve it and show all work A(t) = Pe^(rt).
Step-by-step explanation:
A(t)=P(e^(rt))
Insert the values as follows:
The equation for "continual" growth (or decay) is A = Pe^(rt), where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).
34820=P(e^((.78)(5)))
34830=P(49.4024)
704.82335
Hope that helps :)
At a camp with 300 campers and 15 counselors, what is the camper-counselor ratio?
Answer:
300:15 = 100:5 = 20:1
Answer = 20:1
find the circumference and the area of a circle with the diameter of 8 m.
Answer:
circumference = 8 x 3.14 = 25.12 m
area = 3.14(4²) = 50.24 m²
Step-by-step explanation:
Answer:
C= about 25.13
A= about 50.27
Step-by-step explanation:
The formula for circumference is 2* pi* r
The formula for area is pi *r^2
what is the area of a circle
The area of a circle with a radius of r is [tex]pi r^2[/tex]