A hospital would like to determine the mean length of stay for its patients having abdominal surgery. A sample of 21 patients revealed a sample mean of 5. 7 days and a sample standard deviation of 1. 1 days. Assume that the lengths of stay are approximately normally distributed. Find a 90% confidence interval for the mean length of stay for patients with abdominal surgery. Round the endpoints to two decimal places, if necessary

Answer:

x=3

Step-by-step explanation:

5(2)^x=40

Divide each side by 5

5 /5 *(2)^x=40/5

2^x = 8

Rewriting 8 as 2^3

2^x = 2^3

The bases are the same so the exponents are the same

x=3

Answer:

x = log(40)

Step-by-step explanation:

\(5(2)^{x} =40\)

\(10^{x} =40\)

\(10^{x} =40\)

x = log(40)

Answer:

5/48

Step-by-step explanation:

the first thing you would do is change 6 into the reciprocal, which is 1/6. After, you multiply the fractions just like that.

hope this helps!! :3

The probability of waiting longer than one hour for a taxi is approximately 0.5488

Let X be the time between arrivals of taxis at the intersection. Then, X follows an exponential distribution with a mean of 10 minutes, i.e., E(X) = 10.

We want to find the probability of waiting longer than one hour (i.e., 60 minutes) for a taxi. Let Y be the waiting time for a taxi. Then, Y = kX, where k is a constant.

We can find k as follows

E(Y) = E(kX) = kE(X) = 10k

Since the mean waiting time is one hour (i.e., 60 minutes), we have

E(Y) = 60 minutes = 1 hour

Therefore, we get

10k = 1

k = 1/10

Now we can find the probability of waiting longer than one hour for a taxi as follows

P(Y > 60) = P(kX > 60) = P(X > 6) [since k = 1/10]

where the last step follows from the fact that X follows an exponential distribution with mean 10, so P(X > x) = e^(-x/10) for any x > 0.

Therefore, we get

P(Y > 60) = P(X > 6) = e^(-6/10) = e^(-0.6) ≈ 0.5488

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The given question is incomplete, the complete question is:

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi?

Answer: 146

Step-by-step explanation:

3.5

Step-by-step explanation:

let the number is x:

x(2)-3=4

2x-3=4

2x=4+3

2x/2=7/2

x=3.5

Answer:

Step-by-step explanation:

The linear equation where:

\(\large \boldsymbol {} \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}\)

Solution :

\(\displaystyle \sf \#13. \\\\ 6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3} \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept =-2\frac{1}{3} \\\\-------------\)      

 \(\sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5} \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept =-0,4 \\\\---------------\)  

    \(\dispalystye \sf \#15. \\\\ -6y+4x=8 \ |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3} \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3} \\\\ y-intersept = -\dfrac{4}{3 }\\\\ -----------------\)

\(\sf \#16 .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3} \\\\slope =1 \\\\y-intersept =3\)

Answer:

72

Step-by-step explanation:

Multiply 72 by .75 and you get 54

Answer:

The point E is located at (0, -7)

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

d.

Explanation:

Look at the title of the categories in the chart. 40 is categorized under “hours of training,” meaning 40 hours of training. 1700 is categorized under “monthly pay.” Put the information together and it means $1,700 for 40 hours that month.

Answer: 10 apple

Step-by-step explanation:

First term (a1) = -7

Second term (a2) = -2

Common difference: a2 - a1 = -2-(-7) = 5

Hence, Fifth term = a1 + 4d = -7 + 4(5) = 13

Answer:

Half;  twice

Step-by-step explanation:

In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".

Thus,

2r = d

r = d/2

For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

From the question, we have the following parameters that can be used in our computation:

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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Answer:

C

Step-by-step explanation:

x-intercepts , when y=0 are

(-1,0) and (5,0)

Answer:

C

Step-by-step explanation:

The zeros are also known as x-intercepts so it is the points on the x axis.

For x-intercepts the y is 0 so it is (-1,0) and (5,0)

hope this helped :)

Answer:

yes

Step-by-step explanation:

took test

Answer:

No

Step-by-step explanation:

1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799  participants were successful.

The successful  participants  can be calculate by solving a linear equation as follows

First, it's crucial to understand linear equations.

Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.

Linear equations are those with one degree.

In this case, a linear equation must be resolved.

1945 for the men's total

Women are present in 2849.

Participants in total: 1945 + 2849 = 4794

Let x be the proportion of participants that were successful.

Men who failed were 5 times as numerous.

Participants in total: 5x + x = 6x

Due to the issue,

The linear formula is

6x = 4794

x = 4794/6

x = 799

799 of the participants had success.

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Answer:

i think option 3

Step-by-step explanation:

im not sure but i think

Answer:

Option 3

Step-by-step explanation:

Hoped I helped like plss

Answer:

30 .24 m/hr

Step-by-step explanation:

2 hours and 5 minutes  = 2  + 5/60  hours = 2 5/60 hrs

63 miles / (2  5/60) = 30.24 m/hr

Step-by-step explanation:

To find the average speed, we must know this formula :

\( \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{Distance \: Travelled}{Total \: Time \: Taken}}} \\ \\ \)

Now, substituting the given values in the formula :

\( \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{63 \: miles}{2.083 \: hr}}} \\ \\ \)

\( \\ {\longrightarrow\sf \qquad{Average \: speed = 30.24 \: mph}} \\ \\\)

Therefore,

546 square meters is the area of a decagon having a side length of 8.4 metres and an apothem of 13 metres.

Regular polygons are those in which the inner angles and sides are all equal. Squares serve as instances of regular polygons.

You can use the following formula to determine the area of a regular polygon:

Area is equal to (Perimeter x Apothem) / 2.

Finding the decagon's perimeter is the first step (a polygon with 10 sides). To achieve it, multiply the number of sides by the sum of their lengths:

Radius = 10 * s = 10 * 8.4 = 84 meters

Next, add the perimeter and the apothem to the formula:

Area = (84 * 13) / 2 = (1092) / 2 =\(546 m^2\)

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Answer:

ill help

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

i just did the quiz, so just trust

The 2 actions that we can expect to result in a larger error bound is increase the confidence level and decrease the sample size.

When planning this study, the two actions that could be expected to result in a larger error bound are:

Increase the confidence level: Increasing the confidence level would result in a larger error bound because it would require a larger sample size to achieve the same level of precision. This means that there would be a wider margin of error around the estimate of the proportion of Americans who favour legalizing marijuana.

Decrease the sample size: Decreasing the sample size would also result in a larger error bound because it would reduce the precision of the estimate. A smaller sample size would result in a wider margin of error and a less accurate estimate of the proportion of Americans who favour legalizing marijuana.

Therefore, the correct answer is: Increase the confidence level and decrease the sample size.

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To order a calzone with 6 distinct topping from available list of 8 vegetarian toppings, number of choices of calzone available is 28.

Therefore, the answer is 28.

Total number of available toppings equals 8 and the number of toppings selecting is 6.

The number of ways calzone can be chosen with 6 distinct topping from 8 vegetarian toppings can be obtained by combination formula.

nCm = n!/ (m! × (n - m)!)

Therefore, the number of ways = nCm

= 8C6

= 8!/ (6! × (8 - 6)!)

= 8!/ (6! × 2!)

= (8 × 7)/ 2

= 28

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Answer:

4.

Hope that helps!

Step-by-step explanation:

Answer:

The first click beetle reaches a maximum height of 2.25 feet. From the graph, you can see that the second click beetle reaches a maxium height of between 1.5 and 1.6 feet. So, the first click beetle went higher.

A beetle reaches a maximum height of 2.25 meters after 2,25 seconds

The function is given as:

h(t)=-16t^2+12t

Differentiate

h'(t)= -32t + 12

Set to 0

-32t + 12 = 0

Add 32t to both sides

32t = 12

Divide both sides by 32

t = 0.375

Substitute t = 0.375 in h(t)

h(0.375) = -16 * 0.375^2 + 12 * 0.375

Evaluate

h(0.375) = 2.25

The above means that a beetle reaches a maximum height of 2.25 meters after 2,25 seconds

The other parts cannot be completed because the question is incomplete

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Answer:

3:4

3/4

3 to 4

The ratio 3:7 represents how many smiley faces there are compared to how many shapes there are in total.

11:28

Answer:

Faces to Blocks

3:4    3/4   3 to 4

Blocks to faces

4:3   4/3  4 to 3

Ratio 3:7 represents

a part to whole ratio

The math problem

28-17 = 11 so the answer is 11:28

Step-by-step explanation:

Given that cos(14° + 16°) - sin(14°) sin(169°) is to be expressed as a tronometric function of one number.Using the following identity of cosine of sum of angles

cos(A + B) = cos A cos B - sin A sin BSubstituting A = 14° and B = 16°,cos(14° + 16°) = cos 14° cos 16° - sin 14° sin 16°Substituting values of cos(14° + 16°) and sin 14° in the given expression,cos(14° + 16°) - sin(14°) sin(169°) = (cos 14° cos 16° - sin 14° sin 16°) - sin 14° sin 169°Now, we will apply the values of sin 16° and sin 169° to evaluate the expression.sin 16° = sin (180° - 164°) = sin 164°sin 164° = sin (180° - 16°) = sin 16°∴ sin 16° = sin 164°sin 169° = sin (180° + 11°) = -sin 11°Substituting sin 16° and sin 169° in the above expression,cos(14° + 16°) - sin(14°) sin(169°) = (cos 14° cos 16° - sin 14° sin 16°) - sin 14° (-sin 11°)= cos 14° cos 16° + sin 14° sin 16° + sin 11°Hence, the value of cos(14° + 16°) - sin(14°) sin(169°) = cos 14° cos 16° + sin 14° sin 16° + sin 11°

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