Answer:
2TRN
Let me know if this is wrong!
233115555532224444432
The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. Answer the following. For each question draw an appropriate distribution function (graph) to represent the data, shade the desired area, and show all work, including what you input into your calculator to attain your results.
(A) The 14th percentile for incubation times is __ days.
(B) The incubation times that make up the middle 97% of fertilized eggs are __ to __ days.
Answer:
a)17.92
b) 16.83 .... 21.17
Step-by-step explanation:
ρ→ z
0.14 = -1.080319341
-1.080 = (x - 19)/1 = 17.92
~~~~~~~~~~~~~~~~~~
3% / 2 = 1.5%
1.5% - 98.5%
ρ→ z
0.015 = -2.170090378 .... -2.17 = (x-19) =16.83
0.985 = 2.170090378 .... 2.17 = (x-19) =21.17
The area of a rectangle is (4x2 − 49y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely.
Answer:
8x
Step-by-step explanation:
[tex](4x^{2} - 49y^{2} ) = (2x+7y)(2x-7y)[/tex]
Using a weight of 12 for the most recent observation, 13 for the second most recent observation, and 16 for third most recent observation, compute a three-week weighted moving average for the time series. (Round your answers to two decimal places.)
Answer: Hi some data is missing attached below is the missing data
answer:
WMA = 174.53
Step-by-step explanation:
Determine the three-week weighted moving average with weights
( 1/2, 1/3, 1/6 )
Weighted moving average ( WMA ) = 174.53
MSE = ∑ (xi - WMA)^2 / n
= 9.71
attached below is the detailed solution/table
75. In the figure below, what is the slope of
the diagonal AC of the rectangle ABCD?
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Answer:
A. 3/2
Step-by-step explanation:
Point C is 3 units higher and 2 units right of point A. The slope is ...
slope = rise/run = 3/2
=
The solution set is
1/2(10x+16)-13=-3/5(15x-35)
Answer: 13/7 or as a decimal 1.857142857
How did i get the answer:
Step 1: Simplify both sides of the equation.
so 1/2 of 10 is 5, 1/2 of 16 is 8
-3/5 of 15 is -9 and -3/5 of -35 is POSITIVE 21
all together should look like 5x+8+−13=−9x+21
(now we have to combine like terms)
8+ -13= -5
5x -5 = -9x+21
Step 2: Add 9x to both sides
5x + 9x= 14x
14x -5 = 21
Step 3: Add 5 to both sides.
21+5= 26
14x=26
Step 4: Divide both sides by 14.
26/14= 1.85714286 or 13/7
The width of a rectangular slab of concrete is 7 m less than the length. The area is 98 m squared. Find the dimensions
Answer:
Length = 14 m, Width = 7 m
Step-by-step explanation:
Let the length is l and width is b.
Width, b = l-7
Area of the rectangle, A = 98 m²
We know that, the area of a rectangle is as follow :
[tex]A=lb[/tex]
So,
[tex]98=l(l-7)\\\\98=l^2-7l\\\\l^2-7l-98=0\\\\l^2+7l-14l-98=0\\\\l(l+7)-14(l+7)=0\\\\l=14,-7[/tex]
Length can't be negative. So,
Width, b = 14-7 = 7 m
So, the dimensions of the rectangle are 14 m and 7 m respectively.
The sum of 4 consecutive integers is 122. What is the third number in this sequence?
Answer:
31
Step-by-step explanation:
Let the smallest integer be x.
Since the 4 integers are consecutive (they come right after the other),
2nd integer= x +1
3rd integer= x +1 +1= x +2
4th integer= x +2 +1= x +3
Sum of the integers= 122
x +x +1 +x +2 +x +3= 122
4x +6= 122
4x= 122 -6
4x= 116
x= 116 ÷4
x= 29
3rd number
= 29 +2
= 31
it is known that the population proton of utha residnet that are members of the church of jesus christ 0l6 suppose a random sample of 46 selceted and prioon of the sample that belongs to the churh is calcutated what is the problaity of obtaining a sample priton less than 0;50 g
Answer:
0.0838 = 8.38% probability of obtaining a sample proportion less than 0.5.
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 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.
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]
Proportion of 0.6
This means that [tex]p = 0.6[/tex]
Sample of 46
This means that [tex]n = 46[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.6[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.6*0.4}{46}} = 0.0722[/tex]
Probability of obtaining a sample proportion less than 0.5.
p-value of Z when X = 0.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.5 - 0.6}{0.0722}[/tex]
[tex]Z = -1.38[/tex]
[tex]Z = -1.38[/tex] has a p-value of 0.0838
0.0838 = 8.38% probability of obtaining a sample proportion less than 0.5.
Please help meeee pleaseeee
Explanation:
Refer to the diagram below. There are n = 9 sides
S = 180(n-2)
S = 180(9-2)
S = 180(7)
S = 1260
This nonagon (9 sided polygon) has its interior angles add up to 1260 degrees.
salve by gauss jueabis method if iteration mothere aitration
4X+0.024x2-0.08x3=8
0.09x1+3x2-0.15x3=9
0.04x1+-0.08x2+4x3=20
Write an expression for the sequence of operations described below.
double t, subtract v from the result, then subtract u from what you have
Do not simplify any part of the expression.
Step-by-step explanation:
Double t
t+t=2t
Subtract v
2t-v
Subtract u
2t-v-u
Christian and Tanae both leave Disneyland at the same time. Christian travels north at 65 mph. Tanae travels south at 55 mph. How long will it take them to be 540 miles apart? Which of the following equations would you use to solve this word problem?
65t + 55(t − 1) = 540.
65t + 55t = 540.
65t + 55(t + 1) = 540.
None of these choices are correct.
Answer:
Step-by-step explanation:
B looks like it would work.
You add speeds * time when you are travelling in opposite directions.
I don't know why you would add or subtract 1 as in A and C
120 * t = 540
t = 540/120
t = 4.5 hours.
So after 4.5 hours they are 540 miles apart.
Answer:
b
Step-by-step explanation:
Which describes the transformations applied in the figure above?
1. A clockwise rotation of 180 degrees about the origin.
2. A counterclockwise rotation of 270 degrees about the origin.
3. A counterclockwise rotation of 90 degrees about the origin.
4. A clockwise rotation of 270 degrees about the origin.
Answer:
2. A counterclockwise rotation of 270 degrees about the origin.
Step-by-step explanation:
Point A before the transformation:
Before the transformation, point A was at (-2,2).
After the transformation, point A' is (2,2).
Point B:
Before the transformation, point B was at (-6,-3)
After the transformation, point B' is (-3,6).
Transformation rule:
From the transformations of points A and B, we get that the transformation rule is (x,y) -> (y,-x), which is a counterclockwise rotation of 270 degrees about the origin., and the correct answer is given by option 2.
GIVING OUT BRAINLIEST IF GIVEN AN ANSWER WITH THOUROUGH EXPLANATION AND NOT JUST AN ANSWER! THANKS!
During the first part of a 6-hour trip, you travel 240 miles at an average speed of r miles per hour. For the next 72 miles of the trip, you
increase your speed by 10 miles per hour. What were
your two average speeds?
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Answer:
50 mph for 4.8 hours60 mph for 1.2 hoursStep-by-step explanation:
One way to write the relationship between time, speed, and distance is ...
time = distance/speed
For the first part of the trip, the time is ...
t1 = 240/r
For the second part of the trip, the time is ...
t2 = 72/(r+10)
The total time is 6 hours, so we have ...
t1 +t2 = 6
240/r +72/(r+10) = 6
We can simplify this a bit by multiplying by (r)(r+10)/6 to get ...
40(r+10) +12(r) = r(r+10)
r² -42r -400 = 0 . . . . . . . . subtract the left side and collect terms
(r -50)(r +8) = 0 . . . . . . . . factor
r = 50 . . . . . the positive solution of interest.
The two average speeds were 50 mph and 60 mph.
Suppose 44% of the children in a school are girls. If a sample of 727 children is selected, what is the probability that the sample proportion of girls will be greater than 41%
Answer:
0.9484 = 94.84% probability that the sample proportion of girls will be greater than 41%
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 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.
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]
Suppose 44% of the children in a school are girls.
This means that [tex]p = 0.44[/tex]
Sample of 727 children
This means that [tex]n = 727[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.44[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.44*0.56}{727}} = 0.0184[/tex]
What is the probability that the sample proportion of girls will be greater than 41%?
This is 1 subtracted by the p-value of Z when X = 0.41. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.41 - 0.44}{0.0184}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a p-value of 0.0516
1 - 0.0516 = 0.9884
0.9484 = 94.84% probability that the sample proportion of girls will be greater than 41%
Compute ????×????, where ????=????−2????+5????, ????=2????+????+3????. (Write your solution using the standard basis vectors ????, ????, and ????. Use symbolic notation and fractions where needed.)
Given: ????=????−2????+5????
and ????=2????+????+3????
To find: We need to find the value of ????×????
Solution: Here given,
????=????−2????+5????
and ????=2????+????+3????
Therefore, solving these two we have, ????=0
So,????×????=0
1. Mary got the following scores: 83, 88, 78, 80, and 90 in her examination in English. What is the mean score of Mary?
A. 83.08
B. 83.8
C. 88.38
D. 88.83
2. A list of 5 pulse rates: 70, 64, 80, 74, and 92. Which of the following is the median for this list? *
A. 80
B. 77
C. 76
D. 74
3. After checking the summative test of her 50 students, Teacher Rose found out that most of her students got 38 correct answers out of 50-item test. Which measure of central tendency do 38 represent?
A. frequency
B. median
C. mode
D. range
4. Mary found out that the difference between her highest score and lowest score in the first periodic test is 27. What measure of variability did she use?
A. range
B. mean
C. class size
D. class interval
5. What is the average deviation of the scores 5, 4, 3, 6, and 2?
A. 3.5
B. 3
C. 2.5
D. 1.2
6. If the range of the grouped data is 30 and the lower class boundary is 64.5, which of the following is the upper class boundary of the distribution?
A. 84.5
B. 85.5
C. 90.5
D. 94.5
If you have the variance, how do you get the standard deviation?
A. Square it
B. Take the square root
C. Take the reciprocal
D. Divide it by the sample size
7. If the standard deviation is 14.3, which of the following is the variance?
A. 204.49
B. 104.5
C. 28.6
D. 24.94
please answer this guys, i really need your help.
Answer:
1=83.08
Step-by-step explanation:
mean=summation of number divided by number
At noon, ship A is 150 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM?
Answer:
At 4:00 PM the distance between the two ships is 104.40 kilometers.
Step-by-step explanation:
Given that at noon, ship A is 150 km west of ship B, and ship A is sailing east at 30 km / h and ship B is sailing north at 25 km / h, to determine how fast is the distance between the ships changing at 4:00 PM the following calculation must be performed:
150 - (30 x 4) = 150 - 120 = 30
0 + (25 x 4) = 0 + 100 = 100
30 ^ 2 + 100 ^ 2 = X ^ 2
√ (900 + 10,000) = X
√10,900 = X
104.40 = X
Therefore, at 4:00 PM the distance between the two ships is 104.40 kilometers.
Need an answer quick!!
Lines A and B are parallel
A
1
2
3125°
B
5 6
78
m26 = [? ]°
Answer:
<6 = 55°Step-by-step explanation:
Here,
<6 + 125° = 180° [Co-interior angles]
=> <6 = 180 - 125
=> <6 = 55° (Ans)
I need help on this question someone please help
Answer:
x > -2
Step-by-step explanation:
the graph stops at x = -2 and doesn't move further down
PLEASE I NEED SO MUCH HELP HERE!!!!!!
Suppose the composition of the 107th Senate is 45 Republicans, 50 Democrats, and 5 Independents. A new committee is being formed to study ways to benefit the arts in education. If 3 senators are selected at random to head the committee, find the probability of the following:
Part 1. The group of 3 consists of all Republicans.
Part 2. The group of 3 consists of all Democrats.
Part 3. The group of 3 consists of 1 from each party, including the Independent.
Answer:
1 : 0.088
2 : 0.12
3 : 0.07
Step-by-step explanation:
45 Rebullicans
50 Democrats
5 independents
Total = 100
Selection = 3
Part 1:
(45 C 3) / (100 C 3) = 0.088
Part 2:
(50 C 3) / (100 C 3) = 0.12
Part 3:
(45 C 1) x (50 C 1) x (5 C 1) / (100 C 3) = 0.07
Now actually compute 2 - 8
Answer:
the answer is -6. you just subtract 2 with 8
For this problem what I did was add all the measurements and I got 48 m. However, it is wrong. How do I go about solving the perimeter then?
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Answer:
66 m
Step-by-step explanation:
The perimeter is the sum of the measures of all of the sides. There are two side measures that are missing from the diagram.
The missing horizontal measure is ...
17 m - 8 m = 9 m
The missing vertical measure is ...
16m -7 m = 9 m.
If you add these to the sum you already calculated, you will get the correct answer:
48 m + 9 m + 9 m = 66 m . . . perimeter of the figure
_____
If you're paying attention, you see that the sum of the measures of the two shorter horizontal segments is the same as the measure of the longer horizontal segment. Likewise, the sum of the measurements of the two shorter vertical segments is the same as that of the longer vertical segment.
In other words, the perimeter of this (and any) L-shaped figure is the same as the perimeter of a rectangle having the same horizontal and vertical dimensions as the long sides of the figure.
P = 2(17 m +16 m) = 2(33 m) = 66 m
If u get a negative answer for exponents is it correct?
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Answer:
maybe
Step-by-step explanation:
It can be. It depends on the problem.
__
The rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
Clearly, for division problems if the denominator exponent is larger, the difference 'b-c' will be negative.
__
You recall that an exponent is the way we show repeated multiplication.
x·x·x = x³
In division, like factors cancel, so ...
[tex]\dfrac{x\cdot x\cdot x}{x\cdot x}=\dfrac{x^3}{x^2}=\dfrac{x}{1}\cdot\dfrac{x\cdot x}{x\cdot x}=x^{3-2}=x^1=x[/tex]
Now, consider the same problem "upside down."
[tex]\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{x^2}{x^3}=\dfrac{1}{x}\cdot\dfrac{x\cdot x}{x\cdot x}=x^{2-3}=x^{-1}=\dfrac{1}{x}[/tex]
Question 1 of 10
Estimate the difference of the decimals below by rounding to the nearest
whole number. Enter your answer in the space provided.
46.327
-4.801
Answer:
Step-by-step explanation:
46.327=46 ( neaarest whole number)
-4.801=-5 (nearest whole number)
46-(-5)=46+5=51
A copy machine makes 44 copies per minute. How many copies does it make in 3 minutes and 45 seconds?
Answer:
in 3 minutes ;
44 × 3 = 132 copies
and 45 soconds;
[tex]45 \: seonds \: = \frac{3}{4} \: mınutes[/tex]
44 × ¾ = 33 copies
132 + 33 copies = 165 copiesHAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ツ
Find the length of an arc that subtends a central angle of 224° in a circle of radius 20 m
Answer:
78.2m
Step-by-step explanation:
Lenght of the arc= ( circumference) × ( fraction of the circle)
Circumference=2πr = 2×20×π
Radius=20 m
fraction of the circle can be calculated as 224°/360°= 0.662
Then substitute the values we have
Lenght of the arc=
(2×20×π) ×0.662
= 78.2,
Lenght of the arc is 78.2m
If Joanne can paint a room in 3 hours and her sister Angela can paint the same room in 4 hours, how long (in h) would it take Joanne and Angela to paint the room working together? Round to the nearest tenth.
Answer:
Step-by-step explanation:
If J can paint a room in 3 hours, in 1 hour she gets [tex]\frac{1}{3}[/tex] of the job done.
If A can paint a room in 4 hours, in 1 hour she gets [tex]\frac{1}{4}[/tex] of the job done. We need to find out how long it takes them if they paint together. The equation for this is:
[tex]\frac{1}{3}+\frac{1}{4}=\frac{1}{x}[/tex] where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get
4x + 3x = 12 so
7x = 12 and
x = 1.7 hours to get the room painted together.
What is the probability a person admitted to the hospital is paid a malpractice claim (to decimals)
Full question:
Astudy of 31,000 hospital admissions in New York State found that 4% of the admissions
led to treatment-caused injuries. One-seventh of these treatment-caused injuries resulted in
death, and one-fourth were caused by negligence. Malpractice claims were filed in one out
of 7.5 cases involving negligence, and payments were made in one out of every two claims
What is the probability a person admitted to the hospital is paid a malpractice claim (to decimals)
Answer:
Explanation:
Since 4% of admissions lead to treatment-caused injuries, we have 4/100×31000= 1240 treatment caused injuries for every 31000 people admitted
1/7 resulted in death = 1/7×1240= 177 people die for every 1240 treatment caused injuries
1/4 from negligence= 1/4×1240= 310 people get treatment caused injuries from negligence for every 1240 people
Malpractice claims in one of out of 7.5 cases of negligence= 13.3% of negligence cases= 0.1333×310= 41 claims for every 1240 people with treatment caused injuries
Payments were made in one out of every two claims, therefore payments for claims =50% of 41 cases of negligence= 21 payments(approximately) for every 1240 people with treatment caused injuries
Probability= number of favorable outcomes /total number of outcomes
Probability that a person admitted into the hospital will be paid a claim= 21/31000= 0.000677