Answer:
For the first city, the 95% confidence interval would be:
28,900 +/- 2300 x 3 = 28,900 +/-6900$
For the second city, the 95% confidence interval would be:
30,300 +/- 2100 x 3 = 30,300 +/- 6300$
The lengths of pregnancies are normally distributed with a mean of 250 days and a standard deviation of 15 days.
a. Find the probability of a pregnancy lasting 308 days or longer?
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
Answer:
a) 0.005% probability of a pregnancy lasting 308 days or longer
b) The pregnancy length that separates premature babies from those who are not premature is 229 days.
Step-by-step explanation:
Problems of normally distributed samples 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.
In this question, we have that:
[tex]\mu = 250, \sigma = 15[/tex]
a. Find the probability of a pregnancy lasting 308 days or longer?
This is 1 subtracted by the pvalue of Z when X = 308. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{308 - 250}{15}[/tex]
[tex]Z = 3.87[/tex]
[tex]Z = 3.87[/tex] has a pvalue of 0.99995
1 - 0.99995 - 0.00005
0.005% probability of a pregnancy lasting 308 days or longer
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
The 8th percentile is X when Z has a pvalue of 0.08. So it is X when Z = -1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.405 = \frac{X - 250}{15}[/tex]
[tex]X - 250 = -1.405*15[/tex]
[tex]X = -1.405*15 + 250[/tex]
[tex]X = 229[/tex]
The pregnancy length that separates premature babies from those who are not premature is 229 days.
If h = 85 cm and 1 = 36 cm, what is the length of g?
A. 77 cm
B.
92 cm
C
49 cm
D
75 cm
Answer:A
Step-by-step explanation:
h=85 f=36
Since it is a right angled triangle we can apply Pythagoras principle to get g
g=√(h^2 - f^2)
g=√(85^2 - 36^2)
g=√(85x85 - 36x36)
g=√(7225 - 1296)
g=√(5929)
g=77
Find the area of the shape plssss help
ok so find the area of thesquare then triangles and then add them tiriange area is 1/2 times base times heightso 1/2 times 2 times 2 which is 4 divided by 2 which is 2 same with the other traingle so your total area for the traingles is 4. The area for the square is 2 times 2 which is 4. add them up yiouget the whole shape is 8 units squared Answer: 8 units squared
Step-by-step explanation:
What is the area of this parallelogram?
6 cm
2 cm
Answer:
12
Step-by-step explanation:
Area= base*height
Area= 6*2
Answer:
12cm
Step-by-step explanation:
hight & Base=6 cm & 2 cm
Formula for area: hight×base=6 cm×2 cm
12cm
Charles’s law states that if the pressure of a dry gas is held constant, then the volume V of the gas and its temperature T, measured in degrees Kelvin, satisfy the relationship V=cT, where c is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the volume and the rate of change, with respect to time t, of the temperature?
a) dV/dt = T dc/dt
b) dV/dt = c * dT/dt
c) dV/dT = c
d) 1 = c * dT/dV
Answer:
b) dV/dt = c * dT/dt
Step-by-step explanation:
Differentiating the equation with respect to time, you have ...
V = cT
dV/dt = c·dT/dt . . . . matches choice B
A wall in Marcus’s bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 of the wall blue, how many square feet will be blue?
77 feet^2
Explanation:
Area of the wall is
8 2/5 × 18 1/3
42/5 × 55/3
14/5 × 55/1
14/1 × 11/1 = 154 feet^2
The area we want is half of this
77 feet^2
Hope this helps and answer you question
23. A popular brand of AAA batteries has an effective use time of 12.3 hours, on average. A startup company claims that their AAA batteries last longer. The startup company tested 24,000 of their new batteries and computed a mean effective use time of 12.32 hours. Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).
It is appropriate to conclude which of the following?
A) The startup company has strong evidence that their AAA batteries last longer, on average.
B) The startup company has moderate evidence that their AAA batteries last longer, on average.
C) The startup company has proved that their AAA batteries last longer, on average.
D) None of the answer choices are correct. With such a large sample size, statistically significant results may not be of any practical importance.
Answer:
Option B
Step-by-step explanation:
Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).
Since the P-value was less than 0.0001, the null hypothesis in this case can be rejected (H₀: ∪=12.3), concluding that the startup company has moderate/enough evidence that their AAA batteries last longer, on average.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 12.3
For the alternative hypothesis,
µ > 12.3
This is a right tailed test.
The decision rule is to accept the null hypothesis if the significance level is lesser than the p value and reject the null hypothesis if the significance level is greater than the p value.
Let us assume a significance level of 0.05.
Since alpha, 0.05 > than the p 0.0001, then we would reject the null hypothesis.
The correct option would be
A) The startup company has strong evidence that their AAA batteries last longer, on average.
Collete mapped her vegetable garden on the graph below. Each unit represents 1 foot.
Collete plants an 8-foot row of lettuce in the garden. Which points could tell where the row of
lettuce starts and ends?
(-4,-1) and (-4,7)
| (-1, –4) a (
74)
(-1,-6) and (8,-6)
(-6, -1) and (-6,8)
Answer:
(-4,-1) and (-4,7)Step-by-step explanation:
If Collete planted a row of lettuce, that means their coordinates must have the same vertical coordinate, or the same horizontal coordinate. Another important characteristic is that between those points, there must have 8 units of separation, because it's an 8-foot row.
Only the first choice offers these characteristic to properly represent the row of plants with 8 feet distance between the first and the last plant.
Therefore, the answer is (-4,-1) and (-4,7)
Answer:
(-4, -1) and (-4, 7)
Step-by-step explanation:
I did the quiz
Determine the range of the following function {(-1,4)(0,6)(7,8)(2,-5)}
A) {-1,4,0,6}
B) {-1,0,7,8}
C) {4,6,8,-5}
D) {7,8,2,-5}
Answer:
C
Step-by-step explanation:
The range of a function is all of the y values of every point. In this case, that is 4, 6, 8, -5 (C). Hope that helps!
Answer:
The answer is C
Step-by-step explanation: 4 and 6 are the medium numbers. -5 and 8 and the lowest and highest nuumbers.
where is the point (0, –4) located
4 points below the origin
The diameter of a cylindrical water tank is 8 ft, and its height is 9 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
The volume of the tank is [tex]452\ \text{feet}^3[/tex].
Step-by-step explanation:
We have,
Diameter of a cylindrical water tank is 8 ft
Height of the water tank is 9 ft.
It is required to find the volume of the tank. The volume of a cylindrical shaped object is given by :
[tex]V=\pi r^2h[/tex]
r is radius of cylindrical tank, r = 4 ft
Plugging all the values in above formula,
[tex]V=3.14\times (4)^2\times 9\\\\V=452.16\ \text{feet}^3[/tex]
or
[tex]V=452\ \text{feet}^3[/tex]
So, the volume of the tank is [tex]452\ \text{feet}^3[/tex].
Need help please no dumb answers I gotta turn it in in five min help a girl out please
Answer:
boo just search the formula dud
its A though
what is the equation of the line?
Answer:
y=a
Step-by-step explanation:
Solve: 3(x - 6) = -12
Answer:
x=2
Step-by-step explanation:
3*2=6
6-6=0
-12
Solve the problem 5x+(x+6)+3x
what how am I solving do I simplify
What do scientist mean by flattening the curve and why is it important?
Answer:
MRCORRECT has answered the question
Step-by-step explanation:
Inhibiting new infections to reduce the number of cases at any given time—known as "flattening the curve"—allows healthcare services to better manage the same volume of patients.
Answer:
I believe it means to slow down the virus spreading to other people and to stay safe, avoid contact, and wash your hands to stop too many people from going into the hospital.
Step-by-step explanation:
Compute: 10:00 - 2:30
Answer:
4 hr and 30 minutes?
Step-by-step explanation:
You didnt really specify soo. 11 12 1 2 2:30
1hr 2hr 3hr 4hr 30 min
Answer:7:30
Step-by-step explanation:
Prob-4 Pressurized air are being used in a manufacturing company in its daily operation. There are three compressors in service; two-screw type compressors, (S1 ,S2) and one-reciprocal type compressor,(R). Each compressor, at any given time, is either off (0), or on (1) . Assume that event A is denoted to reciprocal compressor (R) that is always off . Event B is denoted that at least one of the screw type of compressor is always on. Assume that all outcomes in event B are equally likely. If P(A∩B)=45% and P(A∪B)=93%. Compute the probability that all compressors are off
Answer:
The probability that all compressors are off = P(A ∩ B') = 0.18
Step-by-step explanation:
Event A is denoted to reciprocal compressor (R) that is always off.
Event B is denoted that at least one of the screw type of compressor is always on.
P(A) = Probability that the reciprocal compressor is off.
P(A') = Probability that the reciprocal compressor is on.
P(B) = Probability that at least one of the screw type of compressor is on.
P(B') = Probability that at least one of the screw type of compressor is off.
P(A ∩ B) = 45% = 0.45
P(A ∪ B) = 93% = 0.93
P(U) = P(A ∪ B) + P(A' ∩ B')
1 = 0.93 + P(A' ∩ B')
P(A' ∩ B') = 1 - 0.93 = 0.07
The probability that all compressors are off is given as P(A ∩ B')
P(A) = P(A n B') + P(A n B)
P(B) = P(A n B) + P(A' n B)
The question asks us to assume that all outcomes in event B are equally likely.
The possible outcomes in event B include
- The two compressors are on
- First compressor is on, second compressor is off
- Second compressor is on, first compressor is off
- both compressors are off
Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)
P(B) = P(A n B) + P(A' n B)
0.75 = 0.45 + P(A' n B)
P(A' n B) = 0.75 - 0.45 = 0.30
P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)
0.93 = P(A ∩ B') + 0.30 + 0.45
P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18
Hope this Helps!!!
Write a recursive formula for the sequence
-1,-2,-3,-4...
Answer:
f(1) = -1
f(n) = f(n-1) -1
Step-by-step explanation:
The first term is -1. Each term is 1 less than the previous. These equations say that.
f(1) = -1
f(n) = f(n-1) -1
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer:
A. x - 4
D. x + 8
Step-by-step explanation:
To find the two binomial that are factors of the trinomial, you split the middle term into two:
[tex]x^2[/tex] + 4x - 32
[tex]x^2[/tex] - 4x + 8x - 32
Group:
([tex]x^2[/tex] - 4x) (8x - 32)
Take out GCF (Greatest Common Factor):
x(x - 4) 8(x - 4)
(x + 8) (x - 4)
8 cm
Answer:
cm
Part B
Find circumference of the circle. Use
= 3.14.
A 25. 12 cm
B 50.24 cm
C 73.06 cm
D
200.96 cm
Answer:
D.200.96 cm
Step-by-step explanation:
Given radius (R) = 8
Diameter = 2R = 16
Circumference = 2πR
= 16π
= 50.265482457437
Area = πR2
= 64π
= 201.06192982975
i will rate you
brainliest PLZ HELP
You will get 25 points
Answer:
i can not see the picture can you describe it
Step-by-step explanation:
8 x
105 is how many times as great as 8 x 10-l?
10 4
10 6
10 -4
10 -6
Answer:
10 6
................
A vendor at a street fair sells popcorn in cones, all of height 9 inches. The
sharing-size cone has 3 times the radius of the skinny-size cone. About how
many times more popcorn does the sharing cone hold than the skinny cone?
Answer:
The sharing cone holds about 9 times more popcorn than the skinny cone.
Step-by-step explanation:
The volume of a cone is given by the following formula:
[tex]V = \frac{\pi r^{2}h}{3}[/tex]
In which r is the radius and h is the height.
Two cones:
Both have the same height.
The sharing-size cone has 3 times the radius of the skinny-size cone.
Skinny:
radius r, height h. So
[tex]V_{sk} = \frac{\pi r^{2}h}{3}[/tex]
Sharing size:
radius 3r, height h. So
[tex]V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h[/tex]
About how many times more popcorn does the sharing cone hold than the skinny cone?
[tex]r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9[/tex]
The sharing cone holds about 9 times more popcorn than the skinny cone.
Which equation represents a nonlinear function?
A) y=2(x-1)+5
B)y=5x(x-2)
C) y=5x-2
D)y=2x(5-1)
Answer:
B.)
Step-by-step explanation:
A linear equation, remember, is y = mx + b.
Identify.
A.) y = 2x + 3
B.) y = 5x^2 - 10x
C.) y = 5x - 2
D.) y = 8x
Eliminate.
Obviously, B.) is not correct because it doesn't follow the y = mx + b format because 5x is squared.
Hope that helped.
Which expression is equivalent to (1/16)^-4?
Answer:
Answer: Option B. 16^4 is the correct answer.
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
What is the median for the given set of data?
[40, 54, 22, 30, 55, 13, 33}
A)
32
B)
33
C)
40
D)
42
GIVING BRANLIEST Which prism has a greater surface area?
2 prisms. A rectangular prism has a length of 12 inches, height of 8 inches, and width of 6 inches. A triangular prism has a rectangular base with a length of 6 inches and height of 12 inches. 2 rectangular sides are 12 inches by 10 inches. The triangular sides have a base of 6 inches an height of 8 inches.
The rectangular prism has a greater surface area by 72 square inches.
The rectangular prism has a greater surface area by 88 square inches.
The triangular prism has a greater surface area by 72 square inches.
The triangular prism has a greater surface area by 88 square inches.
Answer:
Rectangular prism
Step-by-step explanation:
Identify the graph of the equation... Then find q to the nearest degree.
16x^2+2xy+y^2-16=0
Answer:
ellipse ; 4 degrees
Step-by-step explanation:
edge’s possible answer 2020
My ice maker created the perfect cube today. Each side was 22 mm.
What is the volume of the ice cube?
