A bakery sells mocha cupcakes and vanilla cupcakes. It sold 200 cupcakes in a day, and 44% of them were vanilla. How many of the cupcakes sold that day were mocha?

There is a 0.06 probability percent chance that this section of road will have exactly 7 accidents in the future year. An average of 11 accidents occur on a particular stretch of road each year.

In real life, we frequently have to make predictions about how things will turn out. In these situations, we speak about the probability that the event will occur. The probability formula may be used to calculate the likelihood of an event by simply dividing the favorable number of possibilities by the total number of options.

given

mean=11

\(P(X=x)=e^-lamda*lamda^x/x!\\P(X=7)=e^-11*11^7/7!\\=0.0646\\=0.06\)

The likelihood of seeing precisely 7 accidents on this stretch of road in the upcoming year is 0.06 On a certain stretch of road, an average of 11 accidents happen each year.

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we have 41/4

so

therefore

Answer:

10 1/4

Step-by-step explanation:

41/4

40/4 + 1/4 = 10 + 1/4 = 10 1/4

Answer would be 10 1/4

The total amount to each person end up paying $20.54.

To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.

To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.

The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.

Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.

To split this evenly among the five people, we divide by 5:

$102.72 ÷ 5 = $20.54

So each person will end up paying $20.54.

20% of $85.60 is ($85.60 * 0.20) = $17.12

Add the tip to the total bill:

$85.60 + $17.12 = $102.72

Divide the total amount by the number of people (5): $102.72 / 5 = $20.54

Therefore, the answer is B. $20.54.

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The value of all the expression which have x = 5 asymptotes are,

⇒ g (x) = 3 log (x - 5)

⇒ g (x) = log₁₀ (- x + 5) -  4

⇒ f (x) = (3x + 20) / (x - 5)

We have to given that,

All the expressions are,

⇒ g (x) = 3 log (x - 5)

⇒ f (x) = √(x - 5) + 2

⇒ h (x)= eˣ⁻⁵

⇒ g (x) = log₁₀ (- x + 5) -  4

⇒ h (x) = - ∛(x - 5) + 1

⇒ f (x) = (3x + 20) / (x - 5)

Now, We can check all the expressions for which have x = 5 asymptotes.

Hence, We can substitute x = 5 in each expression and check all expression as which are not defined at x = 5,

⇒ g (x) = 3 log (x - 5)

Substitute x = 5;

⇒ g (x) = 3 log (5 - 5)

⇒ g (x) = 3 log (0)

Which is undefined.

⇒ f (x) = √(x - 5) + 2

Substitute x = 5;

⇒ f (x) = √(5 - 5) + 2

⇒ f (x) = 2

Which is defined.

⇒ h (x)= eˣ⁻⁵

Substitute x = 5;

⇒ h (x)= e⁻⁵

Which is defined.

⇒ g (x) = log₁₀ (- x + 5) -  4

Substitute x = 5;

⇒ g (x) = log₁₀ (- 5 + 5) -  4

⇒ g (x) = log₁₀ (0) -  4

Which is undefined.

⇒ h (x) = - ∛(x - 5) + 1

Substitute x = 5;

⇒ h (x) = - ∛(5 - 5) + 1

⇒ h (x) =  1

Which is defined.

⇒ f (x) = (3x + 20) / (x - 5)

Substitute x = 5;

⇒ f (x) = (3x + 20) / (5 - 5)

⇒ f (x) = (15 + 20) / (0)

Which is undefined.

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Answer:

2 books

Step-by-step explanation:

10/3.95 = 2.53

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

1/114 or 0.008772

Step-by-step explanation:

I am not very sure, my answer seems unlikely, but here's what I think:

There are 20 jerseys in the box to begin with, and 5 medium jerseys that you can have.

Therefore, the probability of you randomly grabbing a medium sized jersey is 5/20 or 1/4.

After taking out one medium sized jersey, there are 19 jerseys in the box and 4 medium jerseys you can pick from.

The probability of you randomly grabbing a medium sized jersey is 4/19.

After taking out another medium sized jersey, there are 18 jerseys left in the box and 3 medium jerseys you can pick from.

The probability of you randomly grabbing a medium sized jersey is 3/18.

To get the answer, you do 1/4 * 4/19 * 3/18, and get 1/114, or 0.00877192982.

If you round that to the nearest millionth, it's 0.008772

Don't judge me, it might not be correct.

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

Step-by-step explanation:

1. AC ≅ EC                      1.Given

2. ∠ACB ≅ ∠ECD            2. Vertically opposite angles are congruent.

3. BC ≅ DC                      3. Given

4.ΔACB ≅ Δ ECD             4. Side Angle Side Congruent

5. AB ≅ ED                   5. CPCT  {Corresponding part of congruent triangles}

Your solution seems fine. What does the rest of the error message say?

\(\displaystyle y^{1/2}\frac{\mathrm dy}{\mathrm dx} + y^{3/2} = 1\)

Substitute

\(z(x)=y(x)^{3/2} \implies \dfrac{\mathrm dz}{\mathrm dx}=\dfrac32y(x)^{1/2}\dfrac{\mathrm dy}{\mathrm dx}\)

to transform the ODE to a linear one in z :

\(\displaystyle \frac23\frac{\mathrm dz}{\mathrm dx} + z = 1\)

Divide both sides by 2/3 :

\(\displaystyle \frac{\mathrm dz}{\mathrm dx} + \frac32z = \frac32\)

Multiply both sides by the integrating factor, \(e^{3x/2}\) :

\(\displaystyle e^{3x/2}\frac{\mathrm dz}{\mathrm dx} + \frac32 e^{3x/2}z = \frac32 e^{3x/2}\)

Condense the left side into the derivative of a product :

\(\displaystyle \frac{\mathrm d}{\mathrm dx}\left[e^{3x/2}z\right] = \frac32 e^{3x/2}\)

Integrate both sides and solve for z :

\(\displaystyle e^{3x/2}z = \frac32 \int e^{3x/2}\,\mathrm dx \\\\ e^{3x/2}z = e^{3x/2} + C \\\\ z = 1 + Ce^{-3x/2}\)

Solve in terms of y :

\(y^{3/2} = 1 + Ce^{-3x/2}\)

Given that y (0) = 16, we have

\(16^{3/2} = 1 + Ce^0 \implies C = 16^{3/2}-1 = 63\)

so that the particular solution is

\(\boxed{y^{3/2} = 1 + 63e^{-3x/2}}\)

14.87

Step-by-step explanation:

use the Pythagorean theorem

a^2+b^2=c^2

C being the longest side of the triangle

14^2+5^2=C^2

196+25=C^2

221=C^

find the square root of 221

C=14.866

rounded to nearest tenth

C=14.87

Answer:

15

Step-by-step explanation:

5^2 +14^2=C^2

25+196=C^2

221=C^2

√221=√C^2

14.86=C

appr 15 =C

Answer:

\( \bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})\)

We know that from the empirical rule we know that within two deviations from the mean we have 95% of the values and if we find the limits we got:

\( 35 -2 \frac{6}{\sqrt{36}}= 33\)

\( 35 +2 \frac{6}{\sqrt{36}}= 37\)

Step-by-step explanation:

For this case we have the following info given:

\( \bar X = 35\) the sample mean

\(s =6\) the sample deviation

\( n =36\) represent the sample mean

Since the sample size is higher than 30 we can use the normla approximation and we have this:

\( \bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})\)

We know that from the empirical rule we know that within two deviations from the mean we have 95% of the values and if we find the limits we got:

\( 35 -2 \frac{6}{\sqrt{36}}= 33\)

\( 35 +2 \frac{6}{\sqrt{36}}= 37\)

Answer:

The grocery bill before the coupons were used was 10 times as much as the bill after the coupons were used.

Step-by-step explanation:

The price after coupons were used is 20, and the price before was 200. 20x10 =200

A circumscribed angle is an angle that has its vertex on the circumference of a circle and whose sides are chords of the circle. The measure of a circumscribed angle is equal to half the measure of the intercepted arc. Circumscribed angles are important in geometry because they are used to prove theorems about angles, chords, and arcs in circles. The opposite angles of a cyclic quadrilateral are always supplementary, and the sum of the angles in a cyclic polygon is always equal to (n-2)180 degrees, where n is the number of sides of the polygon.

Answer:

It is the 3rd graph

Step-by-step explanation:

It is the only one that shows a porpotional relationship.

Answer:

sry mate.....

............

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

Check the solutions

(6,8)

(-4,-4)

(-7,0)

(3,1)

To check if the pair is a solution to teh system of equations you must replace x and y on both of the equations and see if the equation is fulfilled

(6,8) Is not a solution to the system of a solutions

(-4,-4) is not a solution to the system of equations

(-7,0) is not a solution to the system of equations

(3,1) is not a solution to the system of equations

Answer:

She sold 5.775 kilograms of pears at the farmer's market.

Step-by-step explanation:

Let's first determine the information that the question gives us, and what we need to find.

Given:

The farmer sold 7.7 kilograms of apples and pears

1/4 of the weight is apples

The rest of the weight is pears

Find:

Kilograms of pears that the farmer sold

Start by finding the fraction of the whole weight that was pears...

\(1-\frac{1}{4}=\frac{4}{4}-\frac{1}{4}=\frac{3}{4}\)

Now, find 3/4 of 7.7...

\(\frac{3}{4}(7.7)=\frac{23.1}{4}=5.775\ kg\)

She sold 5.775 kilograms of pears at the farmer's market.

Answer:

The answer is B.

hope this helps

have a good day :)

Step-by-step explanation:

v=pi*r^2h

Answer:

5626.9m³

Step-by-step explanation:

V = πr²h

radius = 8

height = 28

to make it easier first step is to get the multiply the radius and the height but first multiple the radius by itself

=> 8 x 8 = 64

=> 64 x 28 = 1792

then multiply 1792 by π (3.14)

=> 1792 x 3.14 = 5626.88

when you round the answer it will be 5626.9

hope this helps and is right :)

The teacher's question, the student can provide a List of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."

Let unscramble the jumbled word "gzeysktqix" and find the possible words that can be formed.

Upon unscrambling, we can find several possible words:

1. Sixty

2. Zesty

3. Skit

4. Site

5. Size

6. Exit

7. Yeti

8. Kits

9. Kite

10. Ties

These are some of the words that can be formed from the jumbled letters "gzeysktqix." There may be additional words that can be created, depending on the specific rules or restrictions given by the teacher.

Unscrambling words can be a fun and challenging exercise that helps improve vocabulary, word recognition, and problem-solving skills. It allows students to enhance their language abilities and discover new words they might not have known before.

Remember, the key is to rearrange the given letters systematically and try different combinations until meaningful words are formed.

So, in response to the teacher's question, the student can provide a list of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."

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Answer:

maybe it's 10.because c is 10,b is 10,and so as s.

hence s is 10 also.

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

$11,150

Step-by-step explanation:

$223,000 x .05 = 11,150

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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