The population of one variety of butterfly is decreasing exponentially at a rate of 34% per year.
At the end of 2014, the population was 125.9 million.
Calculate the population at the end of 2019.
Answers
Answer:
[tex]p(t)= 125.9( {.66}^{t} )[/tex]
t = number of years since 2014
p(t) = butterfly population (in millions)
[tex]p(5) = 125.9( {.66}^{5} ) = 15.8[/tex]
So the butterfly population in 2019 was about 15.8 million.
As per the concept of exponential equation, the population of the butterfly variety at the end of 2019 is approximately 33.02 million.
To calculate the population at the end of 2019, we need to apply the exponential decay formula. Exponential decay occurs when a quantity decreases over time at a constant percentage rate.
The formula for exponential decay is:
Population(t) = Population₀ * (1 - r)ᵃ
Where:
Population(t) is the population at time x.
Population₀ is the initial population (at t=0 or the given starting point).
r is the rate of decay (expressed as a decimal).
x is the time elapsed (in this case, the number of years from the starting point).
We are given that the rate of decrease is 34% per year, which can be written as 0.34 in decimal form. The population at the end of 2014 (t=0) is 125.9 million.
Using the formula, let's calculate the population at the end of 2019 (t=5 years from 2014):
Population(2019) = 125.9 million * (1 - 0.34)⁵
Population(2019) = 125.9 million * (0.66)⁵
Population(2019) = 125.9 million * 0.262144
Population(2019) ≈ 33.02 million
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Related Questions
The map below shows the town of Cedarville. In Cedarville, 2\3 of the area of the town is east of the river. Out of that area, is 3\5 north of Main Street. What fraction of the total area of Cedarville is in the shaded area that is both east of the river and north of Main Street? What fraction of the total area of Cedarville is in the shaded area that is both east of the river and north of Main Street
Answers
The total area of Cedarville is in the shaded area that is both east of the river and north of Main Street is 6/10. Option C
What is the fraction?We know that a fraction can be seen as a part of the whole. Thus when we talk about a fraction, we mean the part that we have taken out of the whole.
If we want to get the fraction of the total area of Cedarville is in the shaded area that is both east of the river and north of Main Street, then we have to count all the boxes and this would give us ten.
Six out of this ten are shaded thus the fraction of the total area of Cedarville is in the shaded area that is both east of the river and north of Main Street is 6/10.
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Hamburger Meat The meat department at a local supermarket specifically prepares its "1-pound" packages of ground beef so that there will be a variety of weights, some slightly more and some slightly less than 1 pound. Suppose that the weights of these "1- pound" packages are normally distributed with a mean of 1.00 pound and a standard deviation of .15 pound.
a. What proportion of the packages will weigh more than 1 pound?
b. What proportion of the packages will weigh between .95 and 1.05 pounds?
c. What is the probability that a randomly selected package of ground beef will weigh less than .80 pound?
d. Would it be unusual to find a package of ground beef that weighs 1.45 pounds? How would you explain such a large package?
Answers
(a) 50% of the packages will weigh more than 1 pound.
(b) 24.64% of the packages will weigh between .95 and 1.05 pounds.
(c) The probability that a randomly selected package of ground beef will weigh less than .80 pound is 9.18%.
(d) It would be unusual to find a package of ground beef that weighs 1.45 pounds. Such a large package could be explained by either an error in the packaging process or a deliberate attempt to provide larger packages to some customers.
a. To find the proportion of packages that weigh more than 1 pound, we need to calculate the area under the normal curve to the right of 1 pound. Using a standard normal table or calculator, we can find this probability to be:
P(Z > (1-1)/0.15) = P(Z > 0) = 0.5000
Therefore, 50% of the packages will weigh more than 1 pound.
b. To find the proportion of packages that weigh between .95 and 1.05 pounds, we need to calculate the area under the normal curve between these two values. Using a standard normal table or calculator, we can find this probability to be:
P((.95-1)/0.15 < Z < (1.05-1)/0.15) = P(-0.33 < Z < 0.33) = 0.3482
Therefore, 34.82% of the packages will weigh between .95 and 1.05 pounds.
c. To find the probability that a randomly selected package of ground beef will weigh less than .80 pound, we need to calculate the area under the normal curve to the left of .80 pound. Using a standard normal table or calculator, we can find this probability to be:
P(Z < (.80-1)/0.15) = P(Z < -1.33) = 0.0912
Therefore, there is a 9.12% chance that a randomly selected package of ground beef will weigh less than .80 pound.
d. It would be quite unusual to find a package of ground beef that weighs 1.45 pounds, as this is more than three standard deviations above the mean. The probability of finding a package that weighs 1.45 pounds or more can be calculated as:
P(Z > (1.45-1)/0.15) = P(Z > 2.67) = 0.0038
This is a very small probability, suggesting that such a large package is an outlier in the distribution. It could be due to a mistake in packaging or an intentional oversized package for a special order.
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what is 80 cm equal to?
Answers
(8 x 10,000) + (5 x 1,000) + (3 x 100) +
(8 x 1)?
Answers
Step-by-step explanation:
(8 x 10,000=80,000)
(5 x 1,000=5,000)
(3 x 100=300)
(8 x 1=8)
80,000+5,000+300+8
Answer:
85308
Step-by-step explanation:
[tex]8*10000=80000[/tex]
[tex]5*1000=5000[/tex]
[tex]3*100=300[/tex]
[tex]8*1=8[/tex]
[tex]80000+5000+300+8=85308[/tex]
Hope this helps :)
Pls brainliest...
(Dilations MC)
Triangle ABC with vertices at A(-1, -1), B(1, 1), C(0, 1) is dilated to create triangle A'B'C' with vertices at A'(-3, -3),
B'(3, 3), C'(0, 3). Determine the scale factor used.
01
O
1/2
03
ㅇㅎ
Answers
The scale factor used in the dilation of the triangles is 3
Determining the scale factor usedFrom the question, we have the following parameters that can be used in our computation:
ABC with vertices at A'(-1, -1), B(1, 1), C(0, 1).A'B'C' with vertices at A(-3, -3), B(3, 3), C(0, 3)The scale factor is calculated as
Scale factor = A'/A
Substitute the known values in the above equation, so, we have the following representation
Scale factor = (-3, -3)/(-1, -1)
Evaluate
Scale factor = 3
Hence, the scale factor is 3
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On Monday, the high temperature in Sheboygan, Wisconsin, was –12°F. The high temperature on Tuesday was 7 degrees warmer than the high temperature on Monday. What was the high temperature on Tuesday?
Answers
The high temperature on Tuesday was -5°F.
Given that,
On Monday, the high temperature in Sheboygan, Wisconsin, was –12°F.
The high temperature on Tuesday was 7 degrees warmer than the high temperature on Monday.
Let T be the high temperature on Tuesday and M be the high temperature on Monday.
By the given statement,
T = M + (7°F)
We have, M = -12°F
Substituting,
T = -12°F + 7°F
= -5°F
Hence the required temperature is -5°F.
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Answers
Answer: I don't know, sorry!
Step-by-step explanation:
Answer:
Step-by-step explanation: soz cn't help
14. What are the necessary steps one must take when designing a logic circuit from a description of the problem?
Answers
When designing a logic circuit from a description of the problem, there are several necessary steps that must be taken.
When designing a logic circuit from a description of the problem, the necessary steps you should take are:
1. Understand the problem: Carefully read and analyze the problem description to determine the input and output requirements.
2. Identify inputs and outputs: List down all the required inputs and outputs based on the problem description.
3. Define truth table: Create a truth table that represents the relationship between the inputs and outputs of the circuit.
4. Simplify the Boolean expression: Use Boolean algebra or Karnaugh maps to simplify the Boolean expression derived from the truth table. This will minimize the number of gates required in the circuit.
5. Select appropriate logic gates: Based on the simplified Boolean expression, select the necessary logic gates (AND, OR, NOT, etc.) to build the circuit.
6. Design the circuit: Connect the selected logic gates to create the desired logic circuit, ensuring proper connections between inputs, gates, and outputs.
7. Verify the design: Test the designed circuit using various input combinations and ensure it produces the correct output as per the problem description.
By following these steps, you can successfully design a logic circuit that meets the requirements of the given problem.
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Collecting Data and Frequency Tables
Answers
1. The people in the survey are 32
2. The problem is that there should not be a row for 57
3. There is nothing wrong with the vfrequency table
4. The teacher displays class testscores ion stem and leaf plot woyl give the most valid conclusion
How to solve for the people in the surveyCount the frequency
8 + 10 + 12 + 2
= 32
What is a frequency tableA statistical instrument, termed as a frequency table, tabulates and illustrates how often particular elements or values belonging to numerous classifications crop up in a dataset.
In other words, it streamlines the procedure of managing and examining data, ultimately simplifying the identification of patterns and trends that may be present within the information at hand.
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a = . Which of the following equals a in this equation? (4 points) Group of answer choices 2
Answers
The solution that equals a in this equation is [tex]a = 3 / 8[/tex]. The Option B.
What is an expression?An expression means collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that:
The expression is 1 over 4a = 2 over 3.
We can then simplify as:
1 / 4a = 2 / 3
Make a cross multiplacation, we get:
3 = 2 x 4a
3 = 8a
a = 3 / 8
Therefore, the solution of the expression is a = 3 / 8
Full question "1 over 4a = 2 over 3. Which of the following equals a in this equation? 1/6, 3/8 11/12, 2 and 2/3"
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A one-sample z-test for a population proportion p will be conducted. Which of the following conditions checks that the sampling distribution of the sample proportion is approximately normal?
The sample is selected at random.
np0≥10 and n(1−p0)≥10 for sample size n.
The sample size is less than or equal to 10 percent of the population size.
I only
A
II only
B
III only
C
I and II only
D
I, II, and III
Answers
The correct answer is B) II only.
The condition that checks that the sampling distribution of the sample proportion is approximately normal is II only, which is np0≥10 and n(1−p0)≥10 for sample size n.
Option I is not sufficient by itself to ensure normality of the sampling distribution. While random sampling is important for reducing bias in the sample, it does not guarantee that the sample proportion will have a normal distribution.
Option III is not relevant to the normality of the sampling distribution, as it pertains to the sample size relative to the population size and not the distribution of the sample proportion.
Therefore, the correct answer is B) II only.
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Find each missing side then find the corresponding letters for each answer
Answers
The missing sides are represented as;
AC = 4√2 O.
AB = 4 M
DE = 6√2 L
DF = 6√2 L
How to determine the value
To determine the value of the missing sides, we need to note the following trigonometric identities and their ratios;
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
From the information given, we have that;
cos 45 = 4/AC
cross multiply the values
AC = 4÷ 1√2
Multiply the values
AC = 4× √2/1
Multiply the values
AC = 4√2
tan 45 = AB/4
AB = 4
To determine the values
sin 45 = DE/6
DE = 6√2
Then,
DF = 6√2
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Suppose you have an algorithm A that takes as input an array M[0,1,...,n - 1] of n integers. The algorithm is defined by two functionsf: Z → Zand g: Z x Z → Z. If n = 1, then the algorithm computes a function f (g), where is the single entry in the array, and returns this integer value. For larger values of n, the algorithm • computes two new arrays that start at positions i = 0 and [n/3 - 1] and that include [2n/3] elements. Thus, if n = 15, the new arrays would begin at positions 0 and 4 and contain 10 elements each • The algorithm then runs recursively on each subarray, and stores the value. This returns an ordered set of two integers, x, y,.
• The algorithm then computes g(x, y), and returns this value. We would like to write down a function (n) for the running time of this algorithm on inputs of arrays of n elements. Assume that computing f (9) and g(x, y) each cost only one operation. Counting all the operations for each step, which of the following recurrence relations would seem to fit? To make the problem easy to solve, you should assume that n = 3k for some non-negative integer Select one: a. t(1) = C1 and t(n) = 2t(n/2) + 1, for some positive constant C1 b.t(1) = C1, and t(n) = 2t(2n/3), for some positive constant C1. c. t(1) = C1, and t(n) = 2t(2n/3) + C2, for some positive constants C1, C2 d. t(1) = C1, and t(n) = 2t(2n/3) + C2n, for some positive constants C1, C2 e. t(1) = C1, and t(n) = 2t(n/3) + C2, for some positive constants C1, C2
Answers
The correct option is (c). t (1) = C1, and t(n) = 2t(2n/3) + C2, C1 and C2 are positive constants. Here's a step-by-step explanation:
1. When n = 1, the algorithm computes a function g (M [0])) and returns an integer value, which takes constant time, represented by C1.
2. For larger values of n, the algorithm divides the input array into two subarrays starting at positions i = 0 and [n/3 - 1], each containing [2n/3] elements.
3. It runs the algorithm recursively on each subarray, returning two integers x and y, and computes g(x, y).
4. Counting all the operations for each step, we can see that there are two recursive calls with inputs of size 2n/3, and one operation for computing g(x, y).
Therefore, the recurrence relation for the running time of this algorithm is:
t(1) = C1 (base case)
t(n) = 2t(2n/3) + C2 (recursive case)
C1 and C2 are positive constants.
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PLEASE HELP!
How would the graph look?
Answers
The equations of the graph from the figure are y = 4 and y = -2
Explaining the equation of the graph from the look?From the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we can see that
We have two horizontal lines that pass through the points y = 4 and y = -2
This means that the equations represented on the graph are y = 4 and y = -2
So, we can conclude that none of the options are true from the options
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find surface area of the cube
Answers
Answer:96
Step-by-step explanation:
(4x4)+(4x4)+(4x4)+(4x4)+(4x4)+(4x4)
16+16+16+16+16+16
48+48
96
mario has $759.60 in the bank after 2 years. assuming he made no additional deposits or withdrawls, what simple interest rate did the savings account pay?
Answers
The savings account paid a simple interest rate of 25.96%.
We can use the simple interest formula:
I = Prt
where I is the interest earned, P is the principal (initial amount deposited), r is the interest rate (in decimal form), and t is the time (in years).
The interest earned in 2 years is:
I = 759.60 - 500 = 259.60
Substituting the values into the formula, we get:
259.60 = 500 × r × 2
Simplifying and solving for r, we get:
r = 0.2596 or 25.96%
Therefore, the savings account paid a simple interest rate of 25.96%.
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mario has $759.60 in the bank after 2 years. assuming he made no additional deposits or withdrawls, what simple interest rate did the savings account pay? The initial amount deposited is $500
Can someone help me asap? It’s due today!! I will give brainliest if it’s all correct!!
Answers
Answer:
1) b. 3
2) a. 5
3) c. 4
4) d. 6
Step-by-step explanation:
Which of the following best describes a cubic centimeter?
A. a square with a side length of 1 centimeter and an area of 1 square centimeter
B. a square with a side length of 1 centimeter and an area of 2 square centimeter
C. a cube with a side length of 1 centimeter and a volume of 1 cubic centimeter
D. a cube with a side length of 1 centimeter and a volume of 3 cubic centimeters
Answers
hope this helped!!
Write equivalent fractions for 1/5 and 3/4 using 20 as the common denominator.
Answers
The equivalent fractions for 1/5 and 3/4 with a common denominator of 20 are:
1/5 = 4/20
3/4 = 15/20
To write equivalent fractions for 1/5 and 3/4 using 20 as the common denominator
we need to multiply the numerator and denominator of each fraction by the same number such that the denominator becomes 20.
For 1/5:
1/5 = (1 x 4)/(5 x 4) = 4/20
Therefore, an equivalent fraction for 1/5 with a denominator of 20 is 4/20.
For 3/4:
3/4 = (3 x 5)/(4 x 5) = 15/20
An equivalent fraction for 3/4 with a denominator of 20 is 15/20.
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what do you think is the best statistic (mean, median, or mode) to use to describe each of the following? why? (use complete sentences) los or charge - admission source - gender - discharge status
Answers
The best statistic to use to describe each variable will depend on the specific characteristics of the data distribution and the research question of interest. However, in general:
LOS (length of stay): The most appropriate statistic to use to describe LOS would be the median, as it is less affected by outliers and skewed distributions than the mean. The median represents the central value of the distribution, i.e., the value that separates the top 50% from the bottom 50% of observations. This is useful in understanding the typical or average length of stay, without being overly influenced by unusually long or short stays that may be present in the data.
Charge: The most appropriate statistic to use to describe charges would be the mean, as it is a measure of central tendency that reflects the total amount charged divided by the total number of cases. The mean is sensitive to outliers and extreme values, so if the distribution is heavily skewed or contains extreme values, the median may be a more appropriate measure.
Admission source: The most appropriate statistic to use to describe admission source would be the mode, as it is a categorical variable that represents the most common source of admission. The mode provides insight into the most frequent route of admission for patients, which can be useful in identifying patterns and trends in patient flow.
Gender: The most appropriate statistic to use to describe gender would be the frequency or count of males and females in the dataset, as it is a binary categorical variable. The frequency provides insight into the distribution of males and females in the sample, which can be useful in identifying gender-related disparities or trends in healthcare utilization.
Discharge status: The most appropriate statistic to use to describe discharge status would be the frequency or count of each category of discharge status, such as home, skilled nursing facility, hospice, etc. This provides insight into the distribution of patients' discharge destinations, which can be useful in understanding the healthcare needs and outcomes of different patient populations.
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I need the answer please anybody and I need to get it right!
Answers
The correct statement regarding the data-sets is given as follows:
A. A girl is 10% more likely to work after school than a boy.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
Out of 30 boys, 18 work after school, hence the probability is given as follows:
18/30 = 0.6 = 60%.
Out of 20 girls, 14 work after school, hence the probability is given as follows:
14/20 = 0.7 = 70%.
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Jason needs to send out flyers for his business. He needs to spend $250 on a printer and each flyer will cost $0.80 for ink, paper, and mailing costs.
a. Complete the table giving the total cost Jason will spend to send out the specific number of flyers.
Answers
A rectangle has a diagonal of 100 feet as shown in the picture below Which of the following lengths could be the base and height of the rectangle?
A. Base = 80 feet; Height = 60 feet
B. Base = 8 feet; Height = 6 feet
C. Base = 50 feet; Height = 50 feet
D. Base = 75 feet; Height = 25 feet
Answers
The base and height of the rectangle are 80 and 60 feet.
How to find the base and height of a rectangle?A rectangle has a diagonal of 100 feet. The length that could be the base and height of the rectangle is as follows:
Therefore, let's use Pythagoras's theorem to find the base and the height of the triangle.
c² = a² + b²
where
c = hypotenuse sidea and b are the other legsTherefore,
80² + 60² = 100²
6400 + 3600 = 10000
10000 = 10000
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Data summaries
BUTTERFLIES: Tania recorded the number of butterflies she saw on her daily runs each day
for a week. The numbers are: 1, 8, 2, 2, 5, 6, and 4. Find the mean, median, and mode of the
data. Which measure(s) are appropriate to accurately summarize the data?
Answers
The measures that are appropriate to accurately summarize the data are the mean and the median
Finding the mean, median, and mode of the dataFrom the question, we have the following parameters that can be used in our computation:
1, 8, 2, 2, 5, 6, and 4
When sorted we have
1, 2, 2, 4, 5, 6, 8
The mean is calculated as
Mean = (1 + 2 + 2 + 4 + 5 + 6 + 8)/7
Mean = 4
The median is the middle value
So, we have
Median = 4
The mode is the data with the highest frequency
So, we have
Mode = 2
Lasltly, the measures that are appropriate to accurately summarize the data are the mean and the median
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The odometer shows
that Darlene rode her bike 8 2/5 miles in 3/4 of an hour. What was her average speed ?
Answers
Answer: Average speed is given by the formula:
speed = distance ÷ time
Given that Darlene rode her bike 8 2/5 miles in 3/4 of an hour. We need to convert the mixed number 8 2/5 to an improper fraction.
8 2/5 = (8 x 5 + 2) / 5 = 42/5
So, Darlene rode her bike a distance of 42/5 miles in a time of 3/4 hours.
Substitute speed = distance ÷ time
speed = (42/5) ÷ (3/4)
To divide by a fraction, we invert and multiply:
speed = (42/5) x (4/3)
speed = 56/5
So, Darlene's average speed was 56/5 miles per hour (mph).
To simplify this fraction, we can divide both the numerator and denominator by 1:
speed = 11/1
find the dimensions of the rectangle meeting the specified conditions.the perimeter is 78 meters and the length is 3 meters greater than the width.
Answers
The dimensions of the rectangle are length = 21 meters and width = 18 meters.
To find the dimensions of the rectangle meeting these conditions, we first need to set up an equation based on the given information. We know that the perimeter is 78 meters, so we can use the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
Substituting in the given information, we get:
78 = 2(3 + width + width)
Simplifying, we can combine like terms:
78 = 2(3 + 2width)
78 = 6 + 4width
Subtracting 6 from both sides:
72 = 4width
Dividing by 4:
width = 18
So we know the width of the rectangle is 18 meters. We also know that the length is 3 meters greater than the width, so:
length = width + 3 = 18 + 3 = 21
Therefore, the dimensions of the rectangle meeting the specified conditions are:
width = 18 meters
length = 21 meters
To find the dimensions of the rectangle meeting the specified conditions, we'll use the information given: the perimeter is 78 meters and the length is 3 meters greater than the width.
Step 1: Write down the formula for the perimeter of a rectangle.
Perimeter (P) = 2(Length (L) + Width (W))
Step 2: Substitute the given values and conditions into the formula.
78 = 2(L + W)
Given that the length is 3 meters greater than the width, we can write L = W + 3.
Step 3: Substitute the expression for L in terms of W into the perimeter formula.
78 = 2((W + 3) + W)
Step 4: Solve the equation for W.
78 = 2(2W + 3)
39 = 2W + 3
36 = 2W
W = 18 meters
Step 5: Find the length (L) using the expression L = W + 3.
L = 18 + 3
L = 21 meters
So, the dimensions of the rectangle are length = 21 meters and width = 18 meters.
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СО C1 C2 C3 HI H2 H3 Suppose the following conditional probability tables: Ct-1 Plq Ct-1) true .6 false .4 Ct true false P(ht|C) .8 .4 P(Co) .5 Given the observation sequence Hi = true, H, = false, and Hz = true, compute the following: (a) P(C3|h1:3) (b) P(C4|h1:3)
Answers
Let's denote the forward probabilities as α_t(c_t) = P(c_t, h_1:t), where h_1:t is the sequence of observations from h_1 to h_t. We will compute the forward probabilities for each time step and then normalize them to obtain the desired probabilities.
1. Initialization: α_0(c_0) = P(c_0)
α_0(true) = 0.5
α_0(false) = 0.5
2. Iteration for t = 1 to 3:
a) t = 1 (h_1 = true)
α_1(true) = P(h_1=true|c_1=true) * [P(c_1=true|c_0=true) * α_0(true) + P(c_1=true|c_0=false) * α_0(false)]
= 0.8 * [0.6 * 0.5 + 0.4 * 0.5]
= 0.8 * 0.5
= 0.4
α_1(false) = P(h_1=true|c_1=false) * [P(c_1=false|c_0=true) * α_0(true) + P(c_1=false|c_0=false) * α_0(false)]
= 0.2 * [0.4 * 0.5 + 0.6 * 0.5]
= 0.2 * 0.5
= 0.1
Normalize α_1:
α_1(true) = 0.4 / (0.4 + 0.1) = 0.8
α_1(false) = 0.1 / (0.4 + 0.1) = 0.2
b) t = 2 (h_2 = false)
α_2(true) = P(h_2=false|c_2=true) * [P(c_2=true|c_1=true) * α_1(true) + P(c_2=true|c_1=false) * α_1(false)]
= 0.2 * [0.6 * 0.8 + 0.4 * 0
Determine the value of the constant c that makes the probability statement correct: P(-esz Sc) = 0.252 (Please round your solution at the third decimal place). O 0.374 O 0.321 O 0.668 O 0.552 something else
Answers
The value of the constant c that makes the probability statement P(-esz Sc) = 0.252 correct is 0.68. To determine the value of the constant c that makes the probability statement P(-esz Sc) = 0.252 correct, we need to use the complement rule, which states that P(A) = 1 - P(A').
In this case, we can rewrite the statement as P(-esz Sc)' = 0.748 (since the complement of the event "-esz Sc" is "esz Sc'").
Next, we need to use the standard normal distribution table or calculator to find the z-score that corresponds to a probability of 0.748. The closest value we can find is 0.7464, which corresponds to a z-score of -0.68 (rounded to two decimal places).
Now we can use the standard normal distribution formula
[tex]z = (x - mu) / sigma,[/tex]
where mu is the mean (which is 0 for the standard normal distribution) and sigma is the standard deviation (which is 1 for the standard normal distribution).
Plugging in the values we have, we get -0.68 = (-c - 0) / 1, which simplifies to -0.68 = -c. Solving for c, we get c = 0.68 (rounded to two decimal places).
Therefore, the value of the constant c that makes the probability statement P(-esz Sc) = 0.252 correct is 0.68.
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Please help 100 extra points
Justin wants to lake his iPod nnd is Nimendo
Switch on a car trip. An hour before they are
scheduled to leave, he realizes he forgot to charge them last night. At that point, he plugged in both devices so they can charge as long as possible before the trip. He knows (hat his IPad has 40%% of its battery life loft and that the battery charges by an additional 12 percentage points every 15 minutes.
His Nintendo Switch is new, so Justin doesn't know how fast it's charging but he recorded the battery charge for the first 30 minutes after he plugged it in below:
Time Charging (minutes)
0
10
20
30
Video Game Player Batter Charge (%)
20
32
44
56
. If Justin's family leaves as planned, what percent of the battery will be charged for each of the two devices when they leave? YOU MUST SHOW YOUR WORK FOR FULL CREDIT!
Nintendo Switch:
IPad:
. How much time would Justin need to charge the batter to 100% on both devices?
Answers
The time that it would take Justin to charge the batter to 100% on both devices will be 111.67 minutes
How to explain the TimeIt takes about 36.67 minutes to charge the Nintendo Switch entirely.
The iPad has a residual battery life of 40%, which means it must gain an additional 60% percent increase in energy.
Since we understand that the tablet powers up by approximately 12 percentage points every quarter of an hour, the estimated duration for one hundred percent charging is close to 75 minutes.
Consequently, Justin must energize both gadgets and will need nearly 111.67 minutes or almost two hours to accomplish this task completely.
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a sample of 900 computer chips revealed that 46% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature states that 44% of the chips do not fail in the first 1000 hours of their use. the quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. find the value of the test statistic. round your answer to two decimal places.
Answers
Therefore, the value of the test statistic is 2.02 (rounded to two decimal places).
To test the claim that the actual percentage of computer chips that do not fail in the first 1000 hours of their use is different from the stated percentage of 44%, we can use a hypothesis test with the following null and alternative hypotheses:
Null hypothesis: The proportion of computer chips that do not fail in the first 1000 hours of their use is equal to 44%.
Alternative hypothesis: The proportion of computer chips that do not fail in the first 1000 hours of their use is not equal to 44%.
We can use a normal approximation to the binomial distribution to calculate the test statistic:
z = (p - P) / √(P(1-P)/n)
where:
p = sample proportion = 0.46
P = hypothesized proportion = 0.44
n = sample size = 900
Plugging in the values, we get:
z = (0.46 - 0.44) / √(0.44*0.56/900)
z = 2.02
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