Answer:
The proportion of babies with birth weights of 6 pounds or less is 0.1056 = 10.56%.
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.
Average birth weight of babies was 7.5 pounds and the standard deviation was about 1.2 pounds.
This means that [tex]\mu = 7.5, \sigma = 1.2[/tex]
Find the proportion of babies with birth weights of 6 pounds or less.
This is the pvalue of Z when X = 6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{6 - 7.5}{1.2}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
The proportion of babies with birth weights of 6 pounds or less is 0.1056 = 10.56%.
A real estate agent working in a large city believes that, for three-bedroom houses, the selling price of the house decreases by approximately $2,000 for every mile increase in the distance of the house from the city center. To investigate the belief, the agent obtained a random sample of 20 three-bedroom houses that sold in the last year. The selling price, in thousands of dollars, and the distance from the city center, in miles, for each of the 20 houses are shown in the scatterplot. The table shows computer output from a regression analysis of the data.
a) Assume all conditions for inference are met. Construct and interpret a 95 percent confidence interval for the slope of the least-squares regression line.
b) Does the confidence interval contradict the agent’s belief about the relationship between the selling price and distance from the city center? Justify your answer.
Answer:
A) 146.6
B) yes it contradicts, the CI is less than 2000
Step-by-step explanation:
A) z-interval, Standard deviation 10, mean 2000, n 20, CI .95= 146.6
The graphs below have the same shape. What is the equation of the graph of g(x)? A. g(x) = x^2 + 4
B. g(x) = x^2- 4
C. g(x) = (x - 4)^2
D. g(x) = (x + 4)^2
The given graph of g(x) is translated 4 units to left, so the function is g(x)=(x+4)². Therefore, option D is the correct answer.
What is the parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.
From the graph, f(x)=x².
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (0,0)
Focus: (0,1/4)
Axis of Symmetry: x=0
Directrix: y= -1/4
In the graph we can graph of g(x) is translated 4 units to left, so the function is g(x)=(x+4)²
Therefore, option D is the correct answer.
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Draw a line through the origin with a slope of 3/2
Answer:
uhhhh
Step-by-step explanation:
the manager of a school radio station is conducting a survey she wants to find out which type of music introvert how would the manager most likely get a random sample that represents the school population
Answer:
type of music students prefer. How would the manager most likely get a random sample
that represents the school population?
Step-by-step explanation:
I may or may not have given my explanation in my answer 0.0
Write an equation for the polynornial graphed below
y(x) =
Answer:
ahh
Step-by-step explanation:
Taylor has 5 yards of gold ribbon to decorate
8 costumes for the school play. She plans to
use the same amount of ribbon for each
costume. How many yards of ribbon will she
use for each costume?
Consider the equation 13x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original equation by graphing the system of linear equations.
Answer:
x = 3
Step-by-step explanation:
13x - 2 = x + 2
12x = 4
x = 3
Jamal gets ready for a basketball game by shooting 101010 free-throws. Based on previous data, he has a 70% chance of making each free-throw. Assume that the results of each free-throw are independent.
Which of the following would find the probability of Jamal making exactly 8 of 10 free-throws?
A) (10
7) (0.70)^7(0.30)^3
B) (10
8) (0.70)^8(0.30)^2
C) (10
8) (0.70)^2(0.30)^8
D) (70
10) (0.70)^8(0.30)^2
E) (0.70)^8(0.30)^2
Answer: you’re welcome
Step-by-step explanation:
The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).
How to find probability using binomial distribution?The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.
In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.
Given that,
The probability of making free-throw is 70% = 70/100 = 0.7
Then, the probability of not making free-throw is 1 - 0.7 = 0.3.
The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.
So, this case belongs to the binomial distribution which can be written as,
ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.
Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,
P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²
Hence, the probability of getting exact 8 free-throws out of 10 is ¹⁰C₈(0.8)⁸(0.3)².
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A circular tabletop is to be cut from a rectangular piece of wood that measures 1.20m by 1.80m what is the radius of the largest tabletop that could be cut?
Answer:
0.6 m
Step-by-step explanation:
From the question,
The largest table top that could be cut from a rectangular piece of wood,
will have a diameter equal to the smallest dimension of the rectangular piece of wood. As shown in the diagram attached.
If it is cut along the biggest dimension of the rectangular piece of wood, the tabletop won't be circular, rather, it will form a sphere. So the only way the tabletop can be cut out of the rectangular piece of wood to make it circular is to cut it along the smaller dimension of the rectangular piece of wood.
Given, the dimensions of the rectangular piece of wood as 1.2 m by 1.8 m.
Then the diameter of the table top formed = 1.2 m.
but,
radius = diameter/2
radius = 1.2/2
radius = 0.6 m
Hence, the radius of the largest tabletop that could be cut out of the rectangular piece of wood is 0.6 m
In deenas class, 3/12 of the students voted for cats as their favorite pet, and 5/12 voted for dogs. What fraction of the class voted for cats or dogs as their favorite pet?
Answer:
8/12 or 2/3
Step-by-step explanation:
5/12+3/12=8/12
8/12 simplifies to 2/3
Find the distance, c, between (–2, 4)
and (3, –1)
on the coordinate plane. Round to the nearest tenth if necessary.
Answer:
d ≈ 7.07Steps:
d = √( (3-(-2))² + (-1-4)² )
d = √( (3+2)² + (-1-4)² )
d = √( 5² + (-5)² )
d = √( 25 + 25 )
d = √50
d ≈ 7.07Which would be a good estimate for the tax on $97.95 if the tax is 9.5%?
$12
$10.50
$10
$8.50
Answer please. Tysm!
Answer:
6a5 + 5b
Step-by-step explanation:
Which expression is not equivalent to the other three? A: 2x + 2 + 2x + 3x - 8 B: 4 + 7x - 2 C: -2 + 5x + 2x - 4 D: 8x - x - 6
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Let's look at A.
A simplified = 7x - 6
Let's look at B
B simplified = 2 + 7x
Let's look at C
C simplified = -6 + 7x OR 7x - 6
Let's look at D, lastly.
D simplified = 7x - 6
In conclusion, we can see that 7x - 6 is the answer we need to arrive at to have equivalent expressions. Only B does not have that answer, so B is the answer.
Hope that helps!
What is 4 x 1/3 I don’t understand because I was using an old method to do this and it isn’t working plz help
Answer:
4/3 hope this helps
Mr. Y gets paid $8.70 per hour. Yesterday he worked 6.5 hours. What will be his pay, assuming that he gets paid for exactly the time that he works.
Answer:
$56.55
Step-by-step explanation:
8.70*6.5=56.55
Given: c=58, b=15, angle B=15 degrees a= ?
a. 60
b. 52
c. 56
Answer:
c. 56
Step-by-step explanation:
To Find a= it would be opposite of angle A.
We could use trig ratios for this question.
Cos B= a/c
Cos 15= a/58
a = (cos15)(58)
a=56
At a carnival game, there is a 38% probability of winning a prize. What is the probability of not winning a prize?
A) 62%
B) 76%
C) 38%
D) 50%
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
its 62
62 plus 38= 100
70+95 Factor the expression using the GCF
giving brainly
Answer:
70 + 95 = 5(14 + 19)
70 + 95 = 5(14 + 19)
gcf = 5
Step-by-step explanation:
70+95
70=2*5*7
95=5*19
70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)
5*33=165 and 70+95=165 Hope this helps! Please give me brainly!
Help plakdjdhdjdbdgggggggggrhrhtj
Answer:
Expanded forms can be written like a sentence or stacked for readability
Step-by-step explanation:
Expanded Form:
5,000 + 300 + 20 + 5 = 5,325
(its like a sentence)
Answer: 5,000 + 300 + 20 + 5 = 5,325
Brainliest if you don't mind.
50 POINTS + BRAINLIEST
PLEASE DONT STEAL POINTS
Answer:
1/2 of
4/3 x
3 x
1 unit of
Step-by-step explanation:
have a nice day!
Answer:
1/2 of
4/3 x
3 x
1 unit of
half of, twice, greater than
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
An electrician charges a service fee of $60 to inspect a home. If he has to
work on something he charges $25 per hour. If he charges $172.50, how
many hours did he work?
Answer:
About 4.5 hours, you can say 5 hours
Step-by-step explanation
You can solve this by constructing a linear equation, which would turn out like this, 25x+60=172.50. How I got this is that it says his charge is 25 per hour, that is basically multiplication by an unknown number, so put that as a variable. Next it says he has a service fee of 60 dollars, this is what's called an initial fee. Now all we need to do is solve for x, which turns into 4.5. I don't know if they ask to round your answer or something, I hope this is right.
Plz can anyone help me with my homework
Answer:
GFIH
Step-by-step explanation:
You read coordinates X and then Y
(X,Y)
1. G
2. F
3. I
4. H
The following data represent the number of housing starts predicted for the 2nd quarter (April through June) of 2014 for a random sample of 40 economists.
984 1260 1009 992 975 993 1025 1164 1060
992 1100 942 1050 1047 1000 938 1035 1030
964 970 1061 1067 1100 1095 976 1012 1038
929 920 996 990 1095 1178 1017 980 1125
964 888 946 1004
Required:
a. Draw a histogram of the data.
b. Construct a 95 % confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014.
c. Construct a 90% confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014
Answer:
Kindly check attached picture ;
(999.494 ; 1046.056) ;
(1003.235 ; 1042.315)
Step-by-step explanation:
Given the data:
888, 920, 929, 938, 942, 946, 964, 964, 970, 975, 976, 980, 984, 990, 992, 992, 993, 996, 1000, 1004, 1009, 1012, 1017, 1025, 1030, 1035, 1038, 1047, 1050, 1060, 1061, 1067, 1095, 1095, 1100, 1100, 1125, 1164, 1178, 1260
Using calculator to obtain the mean and standard deviation :
Mean, x = 1022.775
Standard deviation, s = 75.124
Sample size, n = 40
Zcritical at 95% = 1.96
Zcritical at 90% = 1.645
Using the relation :
x ± E
E = error margin = Zcritical * s / sqrt(n)
At 95% ;
Error margin = 1.96 * 75.124/ sqrt(40) = 23.281
At 90% ;
Error margin = 1.645 * 75.124/ sqrt(40) = 19.540
Confidence interval at 95%:
(1022.775 - 23.281) ;(1022.775 + 23.281)
(999.494 ; 1046.056)
Confidence interval at 90%:
(1022.775 - 19.540) ;(1022.775 + 19.540)
(1003.235 ; 1042.315)
I need help. 18 = a/2
[tex]a = 36[/tex] ✔
Step-by-step explanation:
[tex]18 = \frac{a}{2} \\ ➡ \: a \: = 18 \times 2 \\ ➡ \: a = 36[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
Help fund BFF he try herh
Answer:
The correct answer is C: 1.8 Miles
Step-by-step explanation:
Please help fast this is due pretty soon and I have to go somewhere any explanation or answer would be great
Answer:
1.2
Step-by-step explanation:
all of mr harleys class equals 400 and Ms. samuets has 393
to find the mean you add all then divide by how much you added
to 400 divided by 6 is 66.66 and 393 divided by 6 is 65.5
and 66.66
-65.50
1.16 and 1.16 rounded to the nearest tenth is 1.2
CASE CLOSED
60 points 90 % of my grade
Answer:
5/6 x 4 = 20/6 as simplified as 10/3 in fraction form. 5/6 x 4 = 3.3333 in decimal form.
Step-by-step explanation:
Answer:
5/6 × 4 = ?
5/6 × 4
= 5/6 × 4/1
= 5×4/6×1
= 20/6
= 10/3
= 3.33
many 2/3 are in 9/8?"
Answer:
1.6875 2/3's are in 9/8.
Step-by-step explanation:
(9/8)/(2/3)=1.6875
help help help help help
Answer:
The maximum value is (2,9) I can't really see the question well btw