The number of bank robberies that occur in a large North American city is Poisson distributed with a mean of 1.8 per day. Find the probabilities of the following events. a. Three or more bank robberies in a day. Please give the answer to four decimal places. b. Between 10 and 15 (inclusive) robberies during a 5-day period. Please give the answer to four decimal places.

Answer:

62.29

Step-by-step explanation:

100 - 3(4.25) - 13 - 4(2.99)

= 100 - 12.75 - 13 - 11.96

= 62.29

explanation in the picture

the answer is

62,29

Answer:

literally 0

Step-by-step explanation:

9514 1404 393

Answer:

  $25

Step-by-step explanation:

If c is the 2011 cost, then we are told ...

  30 = c + 20%×c

  30 = 1.2c . . . . . . simplify

  30/1.2 = c = 25 . . . . . divide by the coefficient of c

The 2011 cost was $25.

The equation of the line y = 7x + 0.4 in standard form with integer coefficients is 70x - 10y = -4.

To write the equation of the line y = 7x + 0.4 in standard form with integer coefficients, we need to eliminate the decimal coefficient. Multiply both sides of the equation by 10 to remove the decimal, we obtain:

10y = 70x + 4

Now, rearrange the terms so that the equation is in the form Ax + By = C, where A, B, and C are integers:

-70x + 10y = 4

To ensure that the coefficients are integers, we can multiply the entire equation by -1:

70x - 10y = -4

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Answer:

Step-by-step explanation:

1)1100=50x22

2)315=15x21

3)2120=40x53

4)170=10x17

5)242=22x11

please rate and mask as brainlest.

Answer:

y(x)=2x^3-6x^2+ax+b, a and b are constants

Step-by-step explanation:

d2y/dx2=12x-12, integrating both sides we get

dy/dx=6x^2-12x+a, where a is the integration constant.

Again integrating both sides, we get

y(x)=2x^3-6x^2+ax+b, where b is the integration constant

Answer:

an = - 7n+35

Step-by-step explanation:

In an arithmetic sequence, the difference between consecutive terms is constant. To find this difference, we can subtract the first term from the second term and the second term from the third term, etc.

a2 - a1 = 21 - 28 = -7

a3 - a2 = 14 - 21 = -7

Since the difference between consecutive terms is the same, we can conclude that the difference is -7.

The nth term in an arithmetic sequence can be found using the formula: an = a1 + (n-1)d, where d is the common difference.

For this sequence, the nth term can be found as: an = 28 + (n-1)(-7) = 28 - 7(n-1) = 28 - 7n + 7 = 35 - 7n.

So, the formula for the nth term in this arithmetic sequence is an = - 7n+35

Alex will take 36 minutes to walk to his school, If the school is 2 1/4 miles away with a speed 3 1/4 mph.

Given, the distance Alex covers =  2 1/4 miles

Speed at which he walks = 3 1/4 mph

we know that it only deals with equations of distance and time.

We need to convert improper to proper fractions.

distance; d = 2 ¼ miles = 2.25 miles

Speed; v = 3 ¾ mph = 3.75 mph

Formula for time is;

time; t = d/v

Thus;

t = 2.25/3.75

t = 0.6 h

Converting to minutes gives;

t = 0.6 × 60

t = 36 minutes

hence he takes to 36 minutes to reach school with the given distance and time.

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The total amount spent was $11.40.

To find out how much was spent, we need to add up the cost of the first cup, the cost of the refills, and the cost of the bagel, and then subtract the discount. Here's how to do it step-by-step:

1. Start with the cost of the first cup: $4.25
2. Add the cost of the refills: $2.25 + $2.25 = $4.50
3. Add the cost of the bagel: $3.15
4. Add up the total cost so far: $4.25 + $4.50 + $3.15 = $11.90
5. Subtract the discount: $11.90 - $0.50 = $11.40

So the total amount spent was $11.40.

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Answer:

An equation that satisfies all three pairs of a and b values listed in the table include the following: C. 3a - b = 10

Step-by-step explanation:

How to determine an equation that satisfies all three pairs of a and b values listed in the table?

In order to determine an equation that satisfies all three pairs of a and b values listed in the table, we would substitute each of the numerical values corresponding to each variable into the given equations and then evaluate as follows;

a - 3b = 10

0 - 3(-10) = 30 (False).

3a + b = 10

3(0) - 10 = -10 (False).

3a - b = 10

3(0) - (-10)

0 + 10 = 10 (True).

3a - b = 10

3(1) - (-7)

3 + 7 = 10 (True).

3a - b = 10

3(2) - (-4)

6 + 4 = 10 (True)

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Complete Question:

Which equation satisfies all three pairs of a and b values listed in the table?

a b

0 -10

1 -7

2 -4

The equation is?

A.) a-3b=10

B.) 3a+b=10

C.) 3a-b=10

D.) a+3b=10

Answer:

9

Step-by-step explanation:

The interquartile range of the given list is 11 oz.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

To find the interquartile range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3) of the data.

To do this, we first need to order the data set from smallest to largest:

8 oz, 8 oz, 12 oz, 16 oz, 16 oz, 18 oz, 20 oz, 20 oz

Next, we find the median of the data set. Since there are 8 data points, the median is the average of the two middle values:

Median = (16 oz + 16 oz)/2 = 16 oz

Now we can find Q1 and Q3. Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half of the data set.

Lower half: 8 oz, 8 oz, 12 oz, 16 oz

Upper half: 16 oz, 18 oz, 20 oz, 20 oz

Q1 = (8 oz + 8 oz)/2 = 8 oz

Q3 = (18 oz + 20 oz)/2 = 19 oz

Finally, we can calculate the IQR as the difference between Q3 and Q1:

IQR = Q3 - Q1 = 19 oz - 8 oz = 11 oz

Therefore,

The interquartile range of the given list is 11 oz.

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Answer:

455

Step-by-step explanation:

30%-100= -30*100= -3000/30%= -100

30%of 350 is 455

That's 30 percent off! For $30, you should have $21

Answer:

original price is $500

Explanation:

decreased price percentage: 100% - 30% = 70%

70% → $350

1% → $(350/70)

1% → $5

∵ original price will be always 100%

100% → $5 * 100

original price is $500

We cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.

justify your answer," we need to first understand what a k-to-1 correspondence is.

A k-to-1 correspondence is a function in which each element in the range has exactly k preimages. In other words, if the function f maps elements from set A to set B, then for each element b in set B, there are exactly k elements in set A that map to b.

In this case, we need to determine if the function f is a k-to-1 correspondence for some positive integer k.Now, let's justify our answer. Since we do not have the function f, we cannot determine whether it is a k-to-1 correspondence or not. Therefore, we cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.

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The effort required to complete this group task will be less than the effort required to complete the task as individual homework.

In social psychology, social influence is a topic of study. Social compliance, persuasion methods, brainwashing, and social obedience are a few examples of issues studied in this field.

Several phenomena show how having others around affects performance, one of which is social loafing.

When someone works less hard on a task when doing it in a group, this unique phenomena happens.

Your class is divided into groups of four and given the assignment by the teacher. This group assignment will require less effort from you than completing it as individual homework would have required. This exemplifies the social loafing principle.

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Answer:

jgh

side side side axioms

not sure

Answer:

\(\triangle CAB\cong \triangle ONP\)

Step-by-step explanation:

Triangles \(\triangle CAB\) and \(\triangle ONP\) share two corresponding angles and the inclusive side between them. This is known as ASA (angle-side-angle) and does prove congruence. Therefore, \(\triangle CAB\cong \triangle ONP\).

The four proofs of congruence include SSS (side-side-side), SAS(side-angle-side), ASA (angle-side-angle) and AAS (angle-angle-side). No other pair of triangles demonstrate any of these.

A) The corresponding unit rate for each package is,

For Cannie cakes;

⇒ $1.85

Bark bits;

⇒ $2.25

Woofy Waffles;

⇒ $1.9

B) The best buy by the units rates is, Cannie cakes.

We have to given that;

Jeremiah needed dog food for his new pippy.

Now, We get;

A) The corresponding unit rate for each package is,

For Cannie cakes;

⇒ 74/40

⇒ $1.85

Bark bits;

⇒ 27/12

⇒ $2.25

Woofy Waffles;

⇒ 76 / 40

⇒ $1.9

Hence, We get;

B) The best buy by the units rates is, Cannie cakes.

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The p-value for this test is given as follows:

0.0015.

We use the t-distribution as we have the standard deviation for the sample and not the population.

The equation for the test statistic is given as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{x} = 0.47, \mu = 0.5, s = 0.07, n = 53\)

Hence the test statistic is given as follows:

\(t = \frac{0.47 - 0.5}{\frac{0.07}{\sqrt{53}}}\)

t = -3.12.

Using a t-distribution calculator, with t = -3.12 and 53 - 1 = 52 df, with a left-tailed test, as we are testing if the mean is less than a value, the p-value of the test is given as follows:

0.0015.

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Answer:

u=233

Step-by-step explanation:

281-48=u

233 =u

sorry if i am wrong.

Step-by-step explanation:

281=48-u

281-48=48-u-48 ( substracting 48 on both sides )

233=-u

233×(-1)=-u(-1). (multiplying -1 on both sides)

-233=u.

hope this helps you.

The length of leg AB and AC are 5 units and 8.7 units

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

AC = 10 units

Angle C = 30 degrees

Angle B = 60 degrees

The length of leg AB is then calculated as

sin(30) = AB/AC

Substitute the known values in the above equation, so, we have the following representation

sin(30) = AB/10

So, we have

AB = 10 * sin(30)

Evaluate

AB = 5

The length of leg BC is then calculated as

sin(60) = BC/AC

Substitute the known values in the above equation, so, we have the following representation

sin(60) = BC/10

So, we have

BC = 10 * sin(60)

Evaluate

BC = 8.7

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\(Answer:\ f^{-1}(x)=\boxed{6^{-x}}\)

Step-by-step explanation:

\(\displaystyle\\f(x)=6^x\\\\f^{-1}(x)=(6^x)^{-1}\\\\f^{-1}(x)=\frac{1}{6^x} \\\\f^{-1}(x)=6^{-x}\)

Answer:

f(3) = 6

Step-by-step explanation:

F(3)=-(3)2+4(3)

f(3) = -6 + 12

f(3) = 6

An equation for the ellipse that satisfies the given conditions is  \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

For given question,

We need to find an equation of ellipse having foci (0, 3), (0, 7), vertices (0, 0), (0, 10)

The x -coordinates of the vertices and foci are the same, so the major axis is parallel to the y -axis.

Thus, the equation of the ellipse will have the form

\(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)

First, we identify the center,  (h, k) . 

The center is halfway between the vertices, (0, 0), (0, 10)

 Applying the midpoint formula, we have:

\(\Rightarrow (h,k)=(\frac{0+0}{2} ,\frac{0+10}{2} )\\\\\Rightarrow (h,k)=(0,5)\)

Next, we find  a² . 

The length of the major axis,  2a , is bounded by the vertices.

We solve for  'a'  by finding the distance between the y-coordinates of the vertices.

⇒ 2a = 10 - 0

⇒ 2a = 10

⇒ a = 5

⇒ a² = 25

Now we find  c² . 

The foci are given by  (h, k ± c)

So,  (h, k - c) = (0, 3) and  (h, k + c) = (0, 7)

k - c = 3

k + c = 7

After solving above system of equations we have,

c = 2 and k = 5

So, c² = 4

Next, we solve for  b²  using the equation  c² = a² - b²

⇒ 4 = 25 - b²

⇒ b² = 25 - 4

⇒ b² = 21

Now, we substitute the values found for  h, k, a², and  b²  into the standard form equation for an ellipse:

\(\Rightarrow \frac{(x-0)^2}{25}+\frac{(y-5)^2}{21}=1\\\\\Rightarrow \frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

Therefore, an equation for the ellipse that satisfies the given conditions is  \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

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Answer:

0.00294973268304

Step-by-step explanation:

The given sequence is neither arithmetic nor geometric.

The provided sequence, 2, 4, 7, 11, 2, 4, 7, 11, does not follow a clear arithmetic or geometric pattern. In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio.

In this sequence, the differences between consecutive terms are not constant, and there is no constant ratio between consecutive terms. The pattern seems to alternate between adding 2 or 3 to the previous term, resulting in a repeating pattern of 2, 4, 7, 11. However, this repetition is not sufficient to classify it as an arithmetic or geometric sequence.

The concept of arithmetic and geometric sequences to understand the patterns commonly found in mathematical sequences. Understanding these patterns can help in solving problems related to series and progressions.

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The Roman numeral for the number 9 is IX.

Roman numerals are a numeral system that originated in ancient Rome and were used throughout the Roman Empire. Instead of using a base 10 system like the one we use today, Roman numerals use a combination of letters to represent numbers. The basic symbols in Roman numerals are I, V, X, L, C, D and M.

The numeral I represents the number 1, and the numeral X represents the number 10. To represent 9, we can represent 1 before 10 which is I before X.

It's important to note that Roman numerals have a strict set of rules for how to use the symbols correctly. For example, a numeral can only be repeated up to three times in a row, and numerals can only be subtracted from the next highest numeral that is at least 10 times larger.

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Step-by-step explanation:

1.)i always eat salad

2.)you ate rice

3.)She has a lot of children

4.)He drank tea

5.)i still drink wine

6.)you are students of the French language

(thanks, sorry and hope I helped)

Answer:  A rectangular prism with a height of two inches, length of seven inches, and a width of three inches.

Step-by-step explanation:

Multiply the dimensions given, then select the one that matches Jorge's required 42 in³

5×5×5 = 125

5×4×4 = 80

2×7×3 = 42

6×3×2 = 36

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

given the expression

\(x^22y^4(x^2 - 16) - 9y^4(x^4 - 16)\)

we proceed by opening the brackets

\(x^2y^4(x^2 - 16) - 9y^4(x^4 - 16) \\\\x^4y^4-16x^2y^4-9x^4y^4+144y^4\\\\\)

collet like terms we have

\(x^4y^4-16x^2y^4-9x^4y^4+144y^4 \\\\x^4y^4-9x^4y^4-16x^2y^4+144y^4 \\\\8x^4y^4-16x^2y^4+144y^4\)

factoring we have

\(8x^4y^4-16x^2y^4+144y^4\\\\8y^4(x^4-2x^2)+144y^4\)