10^2 x 10^6 x 10 using single exponent

The probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.6

To find the probability that a customer who likes cake also likes pie, we need to look at the overlap between the cake and pie circles in the Venn diagram. The diagram shows that 10 customers like both cake and pie, out of a total of 25 customers surveyed.

So, the probability that a randomly chosen customer who likes cake also likes pie is:

P(pie | cake) = number of customers who like both cake and pie / number of customers who like cake

P(pie | cake) = 10/15

P(pie | cake) = 2/3

Therefore, the probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.67.

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Answer: 2/3

Step-by-step explanation:

For jewelry prices in a jewelry store, I would expect a histogram of the data to be skewed right.

In a jewelry store, the prices of jewelry items are likely to vary widely, with some items priced at lower values and others at higher values. Typically, there will be a larger number of jewelry items with lower prices compared to a smaller number of items with higher prices. This distribution of prices is likely to result in a skewed right histogram.

Skewness refers to the asymmetry of a distribution. When a distribution is skewed right, it means that the tail of the distribution extends towards the higher values, while the majority of the data is concentrated towards the lower values. In the context of jewelry prices, it is common to find a few high-end luxury pieces with significantly higher prices compared to the majority of the jewelry items, which are priced at lower to moderate values.

In a skewed right histogram of jewelry prices, the histogram bars on the left side (representing lower prices) will be taller and more densely packed, indicating a higher frequency of jewelry items with lower prices. As the prices increase towards the higher end, the frequency of items decreases, resulting in a longer tail on the right side of the histogram.

Overall, due to the nature of jewelry pricing, where lower-priced items are more common and a few high-priced items exist, a skewed right histogram is expected for jewelry prices in a jewelry store.

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The value of x in the given 45-45-90 triangle is 9.89.

The given triangle is a right-angled triangle which can be solved using the Pythagoras theorem. The Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the base and the square of the perpendicular. This theorem can be applied to all right-angled triangles.

In the given triangle, we have been told that the length of both legs is 7. Now, after applying the theorem -

= 7²+7² = H²

= 49 + 49 = H²

= 98 = H²

= √98 = H

= 9.89 = H

Hence, this is the value of x.

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To calculate the expected value E(X) of the given random variable X, we need to consider all the possible outcomes and their respective probabilities.

When two dice are rolled, there are 36 equally likely outcomes since each die has 6 possible outcomes (1, 2, 3, 4, 5, or 6).

There are 6 possible doubles outcomes: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6).

Each double outcome has a probability of 1/36 since there are 36 equally likely outcomes.

So the total probability of rolling doubles is (6/36) = 1/6.

There are 30 possible outcomes that are not doubles since we subtract the 6 doubles outcomes from the total 36 outcomes.

Each non-double outcome has a probability of 1/36 since there are 36 equally likely outcomes.

So the total probability of not rolling doubles is (30/36) = 5/6.

In this case, the lower number and the common number are the same.

The expected value in this case is the average of the possible outcomes, which is (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5.

The expected value in this case is the weighted average of the possible outcomes, taking into account their respective probabilities:

E(X) = (1 * 1/6) + (2 * 3/36) + (3 * 5/36) + (4 * 7/36) + (5 * 9/36) + (6 * 11/36)

= 1/6 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36

= (1 + 6 + 15 + 28 + 45 + 66) / 36

= 161/36            

≈ 4.47  

To summarize, the expected value E(X) of the random variable X, which represents the lower number when two dice are rolled or the common number if doubles are rolled, is approximately 4.47.

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Answer:

as below

Step-by-step explanation:

9/32=3/4 * y/x

becasue this is multiplication of fractions ,  its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32

y=3

x=8

so the answer is 3/8 mile

The length of the northern side of a rectangular plot is 3/8 mile.

Here,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot = 3/4 mile.

We have to find the length of the northern side.

What is Area of rectangle?

The area of a rectangle is product of length and width.

Now,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot ( width ) = 3/4 mile.

Let the length of the northern side ( length ) = x mile

So,

Area of rectangle = length x width

\(\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}\)

Hence, The length of the northern side of a rectangular plot is 3/8 mile.

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Answer: y = -2x -2

Step-by-step explanation:

First, we want to find the slope. We can see that every time x goes up by one, y goes down by two. Slope is y/x, so we can say that the slope is -2/1 or just -2. Now we have y = -2x + b. To find b, we need to plug in one of the points in the chart. We will use (1, -4). So:

-4 = -2(1) + b

-4 = -2 + b

-2 = b

Therefore our b is -2, making the linear function equate to: y = -2x -2.

The value of x for a given expression 4x + 3 = 9 is equal to -1.415.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 4x + 3 = 9. The value of x will be calculated as,

log(4)⁹= x + 3

log9 / log4 = x + 3

0.95424425 / 0.6020599 = x + 3

1.584962725 -3 = x + 3 - 3

x = -1.415037275

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Answer:

k = \(5\frac{1}{3} ,7\frac{1}{3}\)

Step-by-step explanation:

|19 - 3k| = 3

-3k = 3 - 19

-3k = -16

k = 16/3

k = 5 1/3

-19 + 3k = 3

3k = 3 + 19

3k = 22

k = 22/3

k = 7 1/3

When insulin is synthesized, it undergoes several modifications before it is considered fully mature and ready for release. These modifications include **removal of the C-peptide** and the formation of **disulfide bonds**. The removal of the C-peptide is necessary for the formation of the final active insulin molecule. The disulfide bonds help to stabilize the insulin structure and ensure its proper folding.

Insulin is initially synthesized as a larger precursor molecule called preproinsulin. This molecule contains three regions: the signal peptide, the B chain, and the A chain. The signal peptide directs the preproinsulin molecule to the endoplasmic reticulum, where it undergoes cleavage to form proinsulin. Proinsulin then enters the Golgi apparatus, where it undergoes further modifications.

In the Golgi apparatus, proinsulin undergoes cleavage to remove the C-peptide, resulting in the formation of the mature insulin molecule. At the same time, disulfide bonds form between specific cysteine residues in the insulin molecule. These disulfide bonds play a crucial role in maintaining the three-dimensional structure of insulin, which is necessary for its biological activity.

Once fully modified, the mature insulin molecules are packaged into secretory vesicles and transported to the cell membrane. When the appropriate stimulus, such as high blood glucose levels, is present, these vesicles fuse with the cell membrane, releasing the insulin into the bloodstream. From there, insulin can bind to its receptor on target cells and exert its effects on glucose metabolism.

In summary, when insulin is synthesized, it undergoes several modifications, including the removal of the C-peptide and the formation of disulfide bonds. These modifications are essential for the production of mature and active insulin molecules.

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Answer:

Never bwa hahaha JK try d

Step-by-step explanation:

Answer:

\(P_{x} = {n \choose x} p^{x} q^{n-x}\)

Step-by-step explanation:

P = binomial probability

x = number of times for a specific outcome within n trials

\({n \choose x}\) =  number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trials

Answer:

The answer would be c) 8-14m

Answer:

C: 8-14m

Step-by-step explanation:

2(4-7m) = 8 - 14m

find this by distributing the 2 into the parenthesis: 2 * 4 and 2* -7m to get 8 and -7m

Answer:

thx sa points

Step-by-step explanation:

Answer:

25.4 degrees

Step-by-step explanation:

Use the inverse sine function to calculate

Answer:

\(\frac{4}{8} = \frac{2}{4}\)

Answer:

The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)

Step-by-step explanation:

Given two points are:

(-2, 5) and (6, -9)

The mid-point is the point that divides a line segment in two equal parts.

Let M be the mid-point then

\(M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

Let

(x1,y1) = (-2, 5)

(x2,y2) = (6, -9)

Putting the values in the formula, we get

\(M(x,y) = (\frac{-2+6}{2}, \frac{5-9}{2})\\M(x,y) = (\frac{4}{2}, \frac{-4}{2})\\= (2,-2)\)

Hence,

The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)

The Five number summary for the given data:

Minimum: 24

Lower quartile: Q1 = 29

Median: 43

Upper quartile: Q3 = 50

Maximum: 56

Interquartile range: IQR = 21

The interquartile range is calculated by

IQR = Q3 - Q1

Where Q3 - upper quartile and Q1 - lower quartile

Q3 = 3/4(n + 1) th term

Q1 = 1/4(n + 1) th term

The given data points are

24, 27, 29, 29, 35, 39, 43, 45, 46, 49, 51, 51, 56

where n = 13

Maximum data value = 56

Minimum data value = 24

Calculating Median:

Median = (n+1)/2 th term

⇒ Median = (13 + 1)/2 = 7th term

∴ Median = 43

Calculating the quartiles:

Upper quartile Q3 = 3/4(n + 1)th term

⇒ Q3 = 3/4(13 + 1) = 10.5

⇒ Q3 = 10th term + 1/2(11th term - 10th term)

⇒ Q3 = 49 + 1/2(51 - 49)

⇒ Q3 = 49 + 1

∴ Q = 50

Lower quartile Q1 = 1/4(n + 1)th term

⇒ Q1 = 1/4(13 + 1) = 3.5

⇒ Q1 = 3rd term + 1/2(4th term - 3rd term)

⇒ Q1 = 29 + 1/2(29 - 29)

∴ Q1 = 29

Calculating the IQR:

IQR = Q3 - Q1

      = 50 - 29

      = 21

Thus, the interquartile range is 21.

Therefore, the five-number summary for the given data:

Minimum: 24

Lower quartile: Q1 = 29

Median: 43

Upper quartile: Q3 = 50

Maximum: 56

Interquartile range: IQR = 21

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Answer:

5ab

Step-by-step explanation:

To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.

Find the largest number of each element that can be divided by both.

Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)

Variable a: the GCF of a² and a is a

Variable b: the GCF of b and b² is b

Therefore, the GCF is 5ab.

750 gallon of fuel at 80% to mix with the 250 gallon at 40% in order to get a mixture at 70% liquid oxygen.

percentage, a relative value indicating hundredth parts of any quantity

We need to find how many gallons of 80%

8x, since we don't know how many gallons

mixed with 250 gall of 40%: 0.40(250)

and we want a mix at 70%. The mix will include the 0.8x and the 0.4(250) Like this:

8x+0.4(250)=0.7x+0.7*250

Multiply on both sides of the equation

0.8x+100= 0.7x+175 Subtract 100 on both sides

0.8x= 0.7x+75

Subtract 0.7 on both sides

0.1x= 75

Divide both sides by 0.1

x= 750

You need 750 gallon of fuel at 80% to mix with the 250 gallon at 40% in order to get a mixture at 70% liquid oxygen.

Hence,  750 gallon of fuel at 80% to mix with the 250 gallon at 40% in order to get a mixture at 70% liquid oxygen.

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The remaining chocolate slices is 1/12th and the remaining vanilla slices are 1/24th. so the remaining vanilla cake is double of the remaining chocolate cake. here the concept of fraction word problem is used.

There was 1/4th of the chocolate cake left over and there was 3/8th of the vanilla cake left over. Steven divided the remaining chocolate cake into 3 equal slices and the remaining vanilla cake into 9 equal slices.

For the chocolate cake,

Chocolate Cake Remaining 1/4 is divided by 3

            = (1 /4) / 3 = 1 / (4x3) = 1/12

For the Vanilla Cake, Remaining 3/8 is divided by 9

            = (3/8) / 9 = 3 /(8 x 9 ) = 3 / 72 = 1 /24

so from this we conclude that the remaining chocolate slices are twice the size of the remaining vanilla slices because 1/24th Vanilla is half of 1/12th Chocolate. Here the concept of Fraction word problem is used. In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

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Answer:

x = 4

y = 30

Step-by-step explanation:

I added a photo of my solution

Answer:

\(x = 12\)

Step-by-step explanation:

Criss-cross method:

4 cups of flour -> 3dozen cookies

16 cups of flour -> x

\( x = \frac{16 \times 3}{4} = \frac{48}{4} = 12\)

Hope this helps..

Answer:

SHOWN BELOW!!!!

Step-by-step explanation:

KEEP IN MIND ----> *Square root of a number is a value, which on multiplication by itself gives the original number. The square root is an inverse method of squaring a number.*

Alright so the first equation C^2 - 49 = 0

Step 1 : Add 49 to both sides

C^2 - 49 + 49 = 0 + 49

C^2 = 49

Step 2 : Take the square root

(squ root) C^2 = (squ root)49

C = +/- (squ root) 49

Final answer ---> C = 7 OR C = -7

2.) 4S^2 - 100 = 0

Step 1 : Add 100 to both sides

4S^2 - 100 + 100 = 0 + 100

4S^2 = 100

Step 2 : Divide both sides by 4

4S^2/4    =   100/4

S^2 = 25

Step 3 : Take the square root

(squ root) S^2 = (squ root) 25

S =  +/- (squ root) 25

Final answer ---> S = 5 OR S = -5

3.) 9x^2 = 324

Step 1: Divide both sides by 9.

9x^2/9 = 324/9

x^2 = 36

Step 2: Take the square root

squ root) x^2 = (squ root) 36

x = +/- (squ root) 36

Final answer ---> x = 6 OR x = -6

Answer:

b = 7

Step-by-step explanation:

6 b + 6 = 48

Subtract 6 from each side

6b+6-6 = 48 -6

6b = 42

Divide each side by 6

6b/6 = 42/6

b = 7

Answer:

Step-by-step explanation:

6b +6 = 48

collect terms that is ,

6b =48 - 6

6b = 42

divide both sides by 6

therefore, b = 42/6 =7

Hope this helps !

Answer:

Yes,it is right.

Answer:

Wassup wat u need

Step-by-step explanation:

Answer:

You look hot show me more

Step-by-step explanation:

Answer: Are you google? because you have everything im looking for

Step-by-step explanation:

There is something wrong with my cell phone. It doesn't have your number in it.

I must be a snowflake, because I've fallen for you.

I must be in a museum, because you truly are a work of art.

Do you believe in love at first sight—or should I walk by again?

I'm no photographer, but I can picture us together.

Are you a bank loan? Because you got my interest.

Are you a time traveler? Cause I see you in my future!

The number of sides of the polygon will be 6.

In any closed polygon, the number of sides is equal to the number of interior angles.

Let the number of sides is n in the given polygon.

Sum of angles = 90° + 126° × (n - 1)

The sum of angles is given as, 180(n - 2)

90° + 126° × (n - 1) = 180(n - 2)

90 + 126n - 126 = 180n - 360

180n - 126n = 90 - 126 + 360

54n = 324

n = 6

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