The probability that the next telephone call will arrive within 7 minutes is 0.9999 rounded to four decimal places.
Telephone calls arrive at an information desk at a rate of $\lambda$ per minute. Round to four decimal places as needed.The number of events in a Poisson distribution, $X$ , is dependent on the time interval or the area under consideration. When the mean number of events in the area is $\mu$, the probability of a specific number of events, $x$, is given by the Poisson distribution as$P(X=x)=\frac{\mu^xe^{-\mu}}{x!}$where x is a non-negative integer.Let's consider the given scenario for this particular question.
$\lambda$ is the rate of telephone calls arriving at an information desk. This rate can be utilized to find the mean of a Poisson distribution by multiplying it by the time interval. Let $\mu$ denote the mean number of calls arriving in 7 minutes. Then$\mu = \lambda \times 7$ $\mu$ = $7\lambda$When this mean value is substituted in the Poisson probability formula, the probability that a telephone call arrives within 7 minutes is obtained.$P(X \leq 1)$ =$P(X=0)+P(X=1)$ =$\frac{(7\lambda)^0 e^{-7\lambda}}{0!}+\frac{(7\lambda)^1 e^{-7\lambda}}{1!}$ =$e^{-7\lambda}+\frac{7\lambda}{e^{7\lambda}}$ = $0.9999$ (rounded to four decimal places).
Learn more about Decimal places
brainly.com/question/50455
#SPJ11
What is 2 to power of 5 over 2 to the power of 2 times 5?
Answer:
2⁵ / ( 2²)⁵
2⁵ / (2×2)⁵
2⁵ / ( 4 )⁵
2⁵ / 4⁵
32 / 1024
4 / 128
1 / 32
0.03125
Find the outer perimeter.
10 ft
20 ft
15ift
Remember: Co = 2πr
P = [?] ft
Round to the nearest
hundredth.
Use 3.14 for T.
The outer perimeter of the composite figure is calculated to the nearest hundredth as: 55.70 feet.
How to Find the Outer Perimeter of a Composite Figure?The outer perimeter of the composite figure that is shown below which consist of a semicircle and a triangle, can be calculated using the formula below:
Perimeter = 1/2(2πr) + 2(s), where:
s = slant height of the triangle = 20 ft
r = radius of the semicircle = 10/2 = 5 ft
Substitute the values:
Perimeter = 1/2 * (2 * 3.14 * 5) + 2(20)
Perimeter = 55.70 feet
Thus, rounding to the nearest hundredth, the perimeter is calculated as: 55.70 feet.
Learn more about the perimeter on:
https://brainly.com/question/25092270
#SPJ1
Physics The function f(x) = 50.000(0.975)", where x represents the underwater
depth in meters, models the intensity of light below the water's surface in lumens per
square meter. What is the intensity of light 200 meters below the surface? Round
answer to the nearest whole number
We assume the intensity function is
[tex]f(x) = 50,000(0.975^x) . . . . x[/tex]
Use 200 for x and do the arithmetic.
[tex]f(200) = 50,000(0.975^{200}) \thickapprox \bold{316 . . . . lumens/m}^2[/tex]The point (1,6) is on the graph of y=f(x). What would the new co-ordinates be for the function g(x)=2f(1/3(x-1)) +5?
The new coordinates for the function g(x) at the point (1,6) are (1,5).
What is coordinates ?
Coordinates are a set of values that specify the position of a point or an object in space. They are used to locate points in a plane or in three-dimensional space. In the plane, a point can be located using two coordinates, called the x-coordinate and the y-coordinate. In three-dimensional space, a point can be located using three coordinates, called the x-coordinate, y-coordinate, and z-coordinate.
The coordinates of a point are typically written as an ordered pair (x, y) in the plane, or as an ordered triplet (x, y, z) in three-dimensional space. The x-coordinate represents the position of the point along the horizontal axis, the y-coordinate represents the position of the point along the vertical axis, and the z-coordinate represents the position of the point along the third axis, which is usually perpendicular to the x- and y-axes.
To find the new coordinates for the function g(x) given that the point (1,6) is on the graph of y = f(x), we can substitute x = 1 and y = 6 into the equation for g(x) and simplify:
g(x) = 2f(1/3(x-1)) + 5
g(1) = 2f(1/3(1-1)) + 5
g(1) = 2f(0) + 5
g(1) = 2f(0) + 5(1)
g(1) = 2f(0) + 5
Since the point (1,6) is on the graph of y = f(x), we know that f(1) = 6. To find f(0), we can use the fact that the function passes through the origin (0,0) because:
g(1) = 2f(0) + 5
g(0) = 2f(-1/3) + 5
Since the point (1,6) is on the graph of y = f(x), we can use it to find the value of f(1/3) as follows:
(1,6) is on the graph of y = f(x)
so f(1) = 6
and 1/3(1-1) = 0
This means that the point (1/3, f(1/3)) is on the graph of y = f(x). Therefore, we can use the transformation in g(x) to find the new y-coordinate for g(1) as follows:
g(1) = 2f(1/3(1-1)) + 5
g(1) = 2f(0) + 5
g(1) = 2(0) + 5
g(1) = 5
Therefore, the new coordinates for the function g(x) at the point (1,6) are (1,5).
To know more about Coordinate visit :-
https://brainly.com/question/17206319
#SPJ1
The length of a rectangle is 2 in longer than its width. If the perimeter of the rectangle is 36 in, find its area. (please hurry)
Answer:
length = 10 in
width = 8 in
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Then:
36 = 2(h + w) Eq. 1
h = 2 + w Eq. 2
h = length
w = width
From Eq. 1
36/2 = h + w
18 = h + w Eq. 3
Replacing Eq. 2 in Eq. 3
18 = (2+w) + w
18 = 2 + 2w
18 - 2 = 2w
16 = 2w
16/2 = w
w = 8
From Eq. 2
h = 2 + w
h = 2 + 8
h = 10
Check:
from Eq. 1:
36 = 2(h + w)
36 = 2(10 + 8)
36 = 2*18
Which numbers on the list are proportional?
The diagram shows two squares constructed on the sides of a rectangle. What is the area of Square C? please i really need help i have a big test tomorrow
Answer: C
Step-by-step explanation:
Area of Square = [tex]l^2[/tex]
Area of Rectangle = [tex]lw[/tex]
Square A = [tex]l^2[/tex]
6 = [tex]l^2[/tex]
[tex]l[/tex] = 2.449
Rectangle B = [tex]lw[/tex]
5 = 2.449 x [tex]w[/tex]
[tex]w[/tex] = 2.0008
For Square C, [tex]l[/tex] = [tex]w[/tex]
Square C = [tex]l^2[/tex]
Square C = 2.0008²
Square C = [tex]\frac{25}{6}[/tex] OR 4.166
Select all true equations.
The true equations from the given trig. expressions can expressed as;|
Cos 37 = Sin 53 ( true)Sin (90 – θ) = Cos θHow can the true equation be determined?From trigonometery tabel the value of the given angles are:
Cos 37 = 0.7986
Sin 53 = 0.7986
Tan 37 = -0.840
Tan 53 = -0.431
sin 37=-0.644
cos 53 = -0.918
sin37 = -0.644
Sin (90 – θ) = Cos θ
Then we can now be testing the options one after the other by equatiing the terms in right hand side to the one in the left hand sides after doind this we can see that the foirst and the last options are true statement
Learn more about equations at:
https://brainly.com/question/2972832
#SPJ1
mari bought 6 packets of tomato seeds . each packet contained 24 seeds . she planted 1 packet of the seeds , and 15 seeds sprouted . which statement about the seeds in the remaining packets is best supported by this information?
A statement about the seeds in the remaining packets is best supported by this information include the following: B. Between 50 and 100 seeds will sprout.
How to determine the true statement?Based on the information provided about the packets of tomato seeds, we can logically deduce the following parameters;
Number of packets of tomato seeds = 6 packets.
Number of seeds in each packet = 24 seeds.
Next, we would determine the total number of seeds in six (6) packet by multiplying the number of packets of tomato seeds by the number of seeds in each packet as follows;
Total number of seeds = 6 × 24
Total number of seeds = 144 seeds.
Since 15 seeds sprouted in one packet of 24 seeds, the ratio can be calculated as follows;
Ratio = 15 : 24
Sprouted seeds = 144 × 15/24
Sprouted seeds = 90 seeds.
Read more on ratios here: brainly.com/question/27817533
#SPJ1
Complete Question:
Mari bought 6 packets of tomato seeds. Each packet contained 24 seeds. She planted 1 packet of the seeds, and 15 seeds sprouted.
Which statement about the seeds in the remaining packets is best supported by this information?
No more than 50 seeds will sprout.
Between 50 and 100 seeds will sprout.
At least 100 but no more than 120 seeds will sprout.
All 120 seeds will sprout.
to determine whether an obtained f-value is statistically significant, it must be compared to a critical f-value. what two pieces of information are needed to determine the critical f-value?
The two pieces of information which are needed to determine the critical f-value are "degrees of freedom" and "alpha level".
The critical f-value is defined as the threshold or cutoff value used to determine whether an obtained F-value is statistically significant or not.
To determine the critical f-value, we need two pieces of information:
(i) The degrees-of-freedom for numerator and denominator of the F-distribution.
These are denoted as df₁ and df₂, respectively. The degrees of freedom depend on the sample sizes and the number of groups being compared.
(ii) The alpha-level : This is the probability of making a "Type I" error, or rejecting the null hypothesis when it is actually true.
Learn more about Critical Value here
https://brainly.com/question/30760755
#SPJ4
assuming this is a maximization problem, by how much can the coefficient of x in theobjective function be increased before the optimal solution changes?
If the coefficient of x in the objective function is less than the ratio of the coefficient of x in one of the constraint equations to the coefficient of the corresponding decision variable, then increasing the coefficient of x in the objective function will not change the optimal solution.
To determine the maximum amount that the coefficient of x in the objective function can be increased. Let's assume that this ratio is r.
If the current coefficient of x in the objective function is less than r, then the optimal solution will not change if the coefficient of x is increased by any amount.
If the current coefficient of x in the objective function is equal to r, then the optimal solution will not change if the coefficient of x is increased by any amount that does not violate the constraint equation with the smallest ratio.
If the current coefficient of x in the objective function is greater than r, then the optimal solution will change if the coefficient of x is increased by an amount that is greater than or equal to the difference between the current coefficient of x and r.
Therefore, the maximum amount that the coefficient of x in the objective function can be increased without changing the optimal solution depends on the ratio of the coefficient of x to the coefficient of the corresponding decision variable in the constraint equations.
To know more about optimal solution:
https://brainly.com/question/30657286
#SPJ4
What is the measure of angle onp? 50° 65° 80° 130°
Answer:
80
Step-by-step explanation:
edge 2023
Muhammad has $158 in his bank account and deposits $59 per month into his account. Connor has $74 and deposits $66 per month into his account. Muhammad has $158 in his bank account and deposits $59 per month into his account. Connor has $74 and deposits $66 per month into his account
it will take 12 months for Muhammad's account balance to surpass Connor's, assuming they continue to deposit amount at the same rate. After 12 months, Muhammad's balance will be $950 ($158 + $59x) and Connor's balance will be $896 ($74 + $66x).
To solve this problem, we can start by finding the monthly difference in their deposits:
Muhammad: $59/month
Connor: $66/month
Since Muhammad's monthly deposit is lower than Connor's, we need to find out how many months it will take for Muhammad's balance to catch up to and surpass Connor's. We can set up an equation to represent this situation:
$158 + $59x = $74 + $66x
where x is the number of months elapsed.
We can simplify and solve for x:
$158 + $59x - $74 - $66x = 0
$84 - $7x = 0
$7x = $84
x = 12
Therefore, it will take 12 months for Muhammad's account balance to surpass Connor's, assuming they continue to deposit money at the same rate. After 12 months, Muhammad's balance will be $950 ($158 + $59x) and Connor's balance will be $896 ($74 + $66x).
the complete question is :
Muhammad has $158 in his bank account and deposits $59 per month into his account. Connor has $74 in his bank account and deposits $66 per month into his account. If Muhammad and Connor continue to deposit money into their accounts at the same rate, how long will it take for Muhammad's account balance to surpass Connor's?
Learn more about amount here
https://brainly.com/question/8082054
#SPJ4
find the output, f, when the input, t, is 7
The value of the function f at t = 7, will be 11.
What is a function?a function is a relationship between two sets of numbers or values, where each input value from the domain produces exactly one output value from the range. This relationship can be represented by a graph, an equation, or a table.
For example, the equation f(x) = 2x is a function that takes an input value x, multiplies it by 2, and produces an output value in the range. If we input x = 3 into this function, we get f(3) = 2
The function is given as,
f = 2t – 3
At t = 7, the value of the function f will be.
f = 2 x 7 – 3
f = 14 – 3
f = 11
To know more about domain, visit:
https://brainly.com/question/13113489
#SPJ1
The complete question is;
Find the output, f, when the input, t, is 7. f = 2t - 3
a bacteria culture grows with a constant relative growth rate. after 2 hours there are 600 bacteria and after 8 hours the count is 75,000. (a) find the initial population.
The initial population of the bacteria culture is 200 bacteria.
The initial population of the bacteria culture can be determined using the equation for exponential growth: P(t)=P0(1+rt), where P(t) is the population after time t, P0 is the initial population, and r is the relative growth rate.
In this case, after 2 hours, the population is 600 and after 8 hours the population is 75,000. Plugging in the values, we get P0 = 600/(1+2*r), or P0 = 600/3. Thus, the initial population of the bacteria culture is 600/3 = 200 bacteria.
Exponential growth is a function of time and rate of growth. It is often used to model population growth or decay, such as in this case. The equation for exponential growth states that the population at any time is equal to the initial population multiplied by the rate of growth at each unit of time.
In this case, the rate of growth (r) is constant over the time period, so the population can be determined by putting in the values for P(t) and P0 and solving for r. Then, using the same equation, the initial population (P0) can be determined.
To know more about exponential growth click on below link:
https://brainly.com/question/1340582#
#SPJ11
What is the measure of 24? Enter your answer in the box.
m24=
1
2/3
60%
4 61°
S
P
9
58 degrees at m24 as angles are congruent since they are vertical angles visible in the diagram.
what is angles ?In geometric, an angle is a figure made up of two rays that share a vertex and are referred to as the side of the angle. An angle's measurement is the degree of rotation required to turn a single rays around the vertex till it crosses the other ray. Angles are commonly expressed as degrees or radians.
given
Angles 24 and 25, which are congruent since they are vertical angles, are visible in the diagram. We know that: since angle 25 is marked as 58 degrees
m24=m25=58 degrees
The measurement of 24 is thus:
58 degrees at m24 as angles are congruent since they are vertical angles visible in the diagram.
To know more about angles visit:
https://brainly.com/question/14569348
#SPJ1
What are the measurements for the ingredients in pepperoni dip? Use improper fractions when needed.
it's always a good idea to double-check the recipe before measuring out the ingredients. Additionally, it's important to use accurate measuring tools, such as measuring cups and spoons, to ensure that the dip turns out as intended.
How to calculate the problem?
Pepperoni dip is a popular party dip made with cream cheese, sour cream, mayonnaise, and chopped pepperoni. The exact measurements for the ingredients can vary depending on the recipe and the desired consistency and taste. However, a typical recipe might call for:
8 oz cream cheese, softened
1/2 cup sour cream
1/2 cup mayonnaise
1 cup chopped pepperoni
To convert these measurements to improper fractions, we can use the fact that 1 cup is equivalent to 8 fluid ounces. Therefore, the measurements in improper fractions are:
8/1 (or simply 8) ounces of cream cheese
1/2 cup = 4 fluid ounces of sour cream
1/2 cup = 4 fluid ounces of mayonnaise
1 cup = 8 fluid ounces of chopped pepperoni
It's worth noting that some recipes may use different measurements or units, such as teaspoons or tablespoons, so it's always a good idea to double-check the recipe before measuring out the ingredients. Additionally, it's important to use accurate measuring tools, such as measuring cups and spoons, to ensure that the dip turns out as intended.
To know more about fraction visit :-
https://brainly.com/question/78672
#SPJ1
Your complete question is :-What are the measurements for the ingredients in pepperoni dip? Use improper fractions when needed.
HELP
Is the following equation true or false?
three and one half x two and one half – (4 + 2) = 6 ÷ 3 + three fourths
True
False
Answer:
true
Step-by-step explanation:
3.5*2.5-6=2.75
2+0.75= 2.75
It is proven true.
On a snow day, Aaron created two snowmen in his backyard. Snowman A was built to
a height of 28 inches and Snowman B was built to a height of 46 inches. The next day,
the temperature increased and both snowmen began to melt. At sunrise, Snowman
A's height decrease by 4 inches per hour and Snowman B's height decreased by 7
inches per hour. Let A represent the height of Snowman A t hours after sunrise and
let B represent the height of Snowman B t hours after sunrise. Write an equation for
each situation, in terms of t, and determine the number of hours after sunrise when
both snowmen have an equal height.
A =
Answer:
Submit Answer
B =
inches
hours per inch
inches per hour
hours
attempt 1 out of 2
For Snowman A:
The initial height of Snowman A is 28 inches, and it decreases by 4 inches per hour. So, the equation for the height of Snowman A in terms of t hours after sunrise is:
A = 28 - 4t
For Snowman B:
The initial height of Snowman B is 46 inches, and it decreases by 7 inches per hour. So, the equation for the height of Snowman B in terms of t hours after sunrise is:
B = 46 - 7t
To find when both snowmen have an equal height, we need to set A and B equal to each other and solve for t:
28 - 4t = 46 - 7t
3t = 18
t = 6
Therefore, both snowmen will have an equal height of 16 inches after 6 hours.
A 9-meter roll of red ribbon costs $7.92. What is the unit price?
The unit price of the red ribbon is $0.88 per meter.
What is rate ?
A rate is a measure of the speed of something in relation to another quantity or measurement. It is a ratio that expresses how much of one quantity occurs in a given amount of another quantity. In other words, it is a comparison of two different measurements.
To find the unit price of the red ribbon, we need to divide the total cost by the number of units (in this case, meters) in the roll:
Unit price = cost / Number of units
In this case, the total cost is $7.92 and the number of units is 9 meters. So, we have:
Unit price = $7.92 / 9 meters
Using a calculator or by performing long division, we can simplify this expression to find the unit price:
Unit price = $0.88 per meter
Therefore, the unit price of the red ribbon is $0.88 per meter.
To learn more about rate , visit the link:
https://brainly.com/question/25793394
#SPJ1
What os 52,437 roundes ro the nearest thousand
52,437 rounded to the nearest thousand is 53,000.
When we round a number to the nearest thousand, we want to find the closest multiple of 1,000 to the given number. To do this, we need to look at the digit in the hundreds place, which is the third digit from the right in the number.
In the case of 52,437, the digit in the hundreds place is 4. If this digit were less than 5, we would round down to the nearest thousand, but since it is 5 or greater, we need to round up. When we round up, we increase the value of the digit in the thousands place by 1 and replace all the digits after that with zeros.
In this case, the digit in the thousands place is 2, so we need to increase it to 3. The digits after the thousands place are already zeros, so we don't need to change them. Therefore, when we round 52,437 to the nearest thousand, we get:
52,437 rounded to the nearest thousand = 53,000
So 52,437 rounded to the nearest thousand is 53,000.
To learn more about digits:
https://brainly.com/question/30142622
#SPJ4
need help and will give brainiest if its right
Answer:
its A) true
Step-by-step explanation:
they are adjacent because they are next to each other
The data given represents the number of gallons of coffee sold per hour at two different coffee shops.
Coffee Ground
1.5 20 3.5
12 2 5
11 7 2.5
9.5 3 5
Wide Awake
2.5 10 4
18 4 3
3 6.5 15
6 5 2.5
Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour. Explain.
Wide Awake, with a median value of 4.5 gallons
Wide Awake, with a mean value of about 4.5 gallons
Coffee Ground, with a mean value of about 5 gallons
Coffee Ground, with a median value of 5 gallons
Median is the appropriate measure of centre to identify which coffee shop normally sells the most coffee per hour, and the findings reveal that Wide Awake is the coffee shop that typically sells the most coffee per hour.
We must contrast the central tendency measures of the two datasets to identify which coffee shop normally sells the most coffee per hour. The mean and the median are our two available measurements of central tendency.
By adding up all the values and dividing by the total number of values, the mean—the average value of the data—is determined. When values are ordered in order, the median is the middle value in the dataset.
When we compute the mean and median for both coffee shops, we obtain:
Mean = (1.5 + 20 + 3.5 + 12 + 2 + 5 + 11 + 7 + 2.5 + 9.5 + 3 + 5) / 12 = 6.125 gallons of coffee ground
Average: 5 gallons
Mean = (2.5 + 10 + 4 + 18 + 4 + 3 + 6.5 + 15 + 5 + 2.5) / 10 = 6.5 gallons while wide awake.
4.5 gallons is the median.
We can see from the figures above that the mean values for both coffee shops are nearly equal, with Coffee Ground's mean being slightly lower at approximately 5 gallons compared to Wide Awake's mean at about 6.5 gallons. Yet, the median value for Wide Awake is 4.5 gallons as opposed to 5 gallons for Coffee Ground.
When there are outliers in the data or when the distribution is skewed, the median is a better indicator of central tendency to utilize. Given that the datasets are tiny and contain outliers, the median is a more appropriate measurement in this situation. We can infer from the median numbers that Wide Awake normally sells the most coffee each hour.
Learn more about median here:
https://brainly.com/question/28060453
#SPJ1
A sales person had $240,00 in sales last year, which is 60% of the sales she has this year. Which equation could be used to determine X, the salespersons total amount of sales in dollars for this year
Answer: 240,000= .6x and/or 400,000
Step-by-step explanation:
If 240,000 is 60% of our answer, we can write the equation as...
240,000= .6x
In order to find the answer, (I am unsure if you need it) we would divide both sides by .6.
This would leave us with 400,000.
3-4x <0 or 2x - 4> -2
Answer:
x ∈ (0,75; +∞) and x∈ (1; +∞)
Step-by-step explanation:
1) 3 - 4x < 0
-4x < -3 / : (-4)
x > 0,75
x ∈ (0,75; +∞)
2) 2x - 4 > -2
2x > -2 + 4
2x > 2 / : 2
x > 1
x∈ (1; +∞)
use substitution to solve the system p=d+3, p+2d=10.50
We are given the system of equations:
p = d + 3 ----(1)
p + 2d = 10.50 ----(2)
We can use substitution to solve for the variables. From equation (1), we can see that p = d + 3. We can substitute this expression for p in equation (2) to get:
(d + 3) + 2d = 10.50
Simplifying this equation, we get:
3d + 3 = 10.50
Subtracting 3 from both sides, we get:
3d = 7.50
Dividing both sides by 3, we get:
d = 2.50
Now that we know the value of d, we can substitute this back into equation (1) to solve for p:
p = d + 3
p = 2.50 + 3
p = 5.50
Therefore, the solution to the system is p = 5.50 and d = 2.50.
use a 99 percent confidence interval to estimate the difference between the mean wait times for ambulance transported patients and self-transported patients at this emergency room. based only on this confidence interval, do you think the difference in the mean wait times is statistically significant? justify your answer.
A 99% confidence interval for the difference in mean wait times for ambulance and self-transported patients is (0.15, 3.33) minutes. Since the interval includes 0, we cannot conclude that the difference in mean wait times is statistically significant at a 99% level of confidence.
To estimate the difference between the mean wait times for ambulance-transported patients and self-transported patients, we can use the two-sample t-interval for the difference in means, assuming equal variances:
[tex]$\bar{x}_1 - \bar{x}2 \pm t{\alpha/2, n_1 + n_2 - 2} \times \sqrt{\frac{s_p^2}{n_1}+\frac{s_p^2}{n_2}}$[/tex]
[tex]$\bar{x}1$ and $\bar{x}2$[/tex]where are the sample means, [tex]$s_p$[/tex] is the pooled standard deviation, [tex]$n_1$[/tex] and [tex]$n_2$[/tex] are the sample sizes, and[tex]$t{\alpha/2, n_1 + n_2 - 2}$[/tex] is the critical value from the t-distribution with[tex]$n_1 + n_2 - 2$[/tex] degrees of freedom.
Substituting the given values, we get:
[tex]$\bar{x}_1 - \bar{x}_2 \pm 2.626 \times \sqrt{\frac{8.30^2}{77}+\frac{5.16^2}{73}}$$\implies 6.04 - 4.30 \pm 2.626 \times \sqrt{\frac{8.30^2}{77}+\frac{5.16^2}{73}}$[/tex]
[tex]$\implies 1.74 \pm 1.59$[/tex]
Thus, the 99% confidence interval for the difference between the mean wait times is (0.15, 3.33) minutes.
To determine whether the difference in mean wait times is statistically significant based on the confidence interval, we need to check if the interval contains zero. Since the interval does not contain zero, we can conclude that the difference in mean wait times between ambulance-transported patients and self-transported patients is statistically significant at the 99% confidence level.
To know more about confidence interval:
https://brainly.com/question/29680703
#SPJ4
--The given question is incomplete, the complete question is given
"Patients with heart-attack symptoms arrive at an emergency room either by ambulance or self- transportation provided by themselves, family, or friends. When a patient arrives at the emergency room, the time of arrival is recorded. The time when the patient's diagnostic treatment begins is also recorded An administrator of a large hospital wanted to determine whether the mean wait time time between arrival and diagnostic treatment) for patients with heart-attack symptoms differs according to the mode of transportation. A random sample of 150 patients with heart-attack symptoms who had reported to the emergency room was selected. For each patient, the mode of transportation and wait time were recorded. Summary statistics for each mode of transportation are shown in the table below. Mode of Transportation Sample Size Mean Wait Time Standard Deviation (in minutes) of Wait Times (in minutes) 6.04 4.30 8.30 5.16 Ambulance Self 77 73 (a) Use a 99 percent confidence interval to estimate the difference between the mean wait times for ambulance-transported patients and self-transported patients at this emergency room. You may assume that conditions for inference are met. (b) Based only on this confidence interval, do you think the difference in mean wait times is statis- tically significant? Justify your answer."--
The questions on there
You are studying the lengths of time people spend reading books
each day. You randomly select 50 people and observe that, in average, they spend 25 minutes
reading books each day. Find the probability that the mean time they spend reading each day is
between 24.7 and 25.5 minutes? Assume that o=1.5 minutes and also you can use the Central
Limit Theorem.
The probability that the mean time people spend reading books each day is between 24.7 and 25.5 minutes, assuming a population standard deviation of 1.5 minutes and using the Central Limit Theorem, is approximately 0.881 or 88.1%.
How to find the probability?Since we have a sample size of 50, we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean. We know that the population standard deviation is 1.5 minutes. Therefore, the standard error of the mean is:
SE = σ/sqrt(n) = 1.5/sqrt(50) ≈ 0.212
To find the probability that the mean time spent reading is between 24.7 and 25.5 minutes, we need to standardize the sample mean using the formula:
z = (x - μ) / SE
where x is the sample mean, μ is the population mean (which is not given, but we can assume is equal to the sample mean of 25), and SE is the standard error of the mean calculated above.
So, for the lower bound of 24.7 minutes:
z = (24.7 - 25) / 0.212 ≈ -1.42
And for the upper bound of 25.5 minutes:
z = (25.5 - 25) / 0.212 ≈ 2.36
We can then use a standard normal distribution table or calculator to find the probability that z is between -1.42 and 2.36, which represents the probability that the sample mean is between 24.7 and 25.5 minutes:
P(-1.42 < z < 2.36) ≈ 0.881
Therefore, the probability is 0.881 or 88.1%.
Learn more about probability here:https://brainly.com/question/24756209
#SPJ1
What is the measure of angle p? enter your answer as a decimal in the box. round only your final answer to the nearest hundredth. m∠p= °
The measure of angle P = 67.38, calculated the trigonometric function value, we get the same answer.
We have all sides of the triangle, so we can calculate the trigonometric function value of angle P :
sin P = 12/13 ≈ 0.9231
Since △PQR is a right-angled triangle, we can use the cosine or sine or tan rule to find the ∠P
1) Sine
sin ∠P = opposite/ hypotenuse = 12/13
∠P = sin −1 (12/13) = 67.38
(2) Cosine
cos ∠P = adjacent/ hypotenuse = 5/13
∠P = cos−1 (5/13) = 67.38
(3) tan
tan ∠P = opposite/ adjacent = 12/5
∠P = tan−1 (12/5) = 67.38
Hence, as you can see that whichever rule is being used, the answer will always be the exact same.
To learn more about trigonometric function, click here:
brainly.com/question/6904750
#SPJ4