3. Your test scores in science are 83 and 87. What
possible scores can you earn on your next test to have
a test average between 85 and 90, inclusive?

To solve the exponential equation 23^x = 6, take the logarithm base 23 of both sides to get x = log base 23 of 6.

Angie, to solve the exponential equation 23^x = 6, you need to find the value of x such that when you raise 23 to the power of x, you get 6. To do this, you can use logarithms.

In particular, you can use the logarithmic function log_23. The log_23 of a number y is the exponent x such that 23^x = y. So, to solve the equation 23^x = 6, you can take the log_23 of both sides:

log_23(23^x) = log_23(6)

x = log_23(6)

The right side of this equation can be evaluated using a calculator or logarithmic tables. Once you have the value of x, you will have solved the exponential equation.

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The longest poster that can fit in the box must have dimensions of 10 inches (height) by 20 inches (length) by 12 inches (width).

To find the longest poster that can fit in the box, we need to determine the longest dimension of the box itself. Since the box is 10 inches high, the longest poster that can fit in the box must have a height of no more than 10 inches.

Now, we need to consider the other two dimensions of the box. The box is 20 inches long and 12 inches wide, so the longest poster that can fit in the box must have a length of no more than 20 inches and a width of no more than 12 inches.

As for why we can only fit one maximum-length poster in the box but we can fit multiple 22-inch posters in the same box, it's because the length and width of the box are larger than the length and width of the 22-inch poster.

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Answer:

no no yes yes

Step-by-step explanation:

Triangles may or may not be congruent.

The truth values of the claims are:

(a and b) Corresponding sides and angle must be equal

This is true, because the corresponding sides and angles of the triangles must be equal for both triangles to be congruent

Hence, the truth value of (a) and (b) is Yes

(c) Sequence translation of the triangles

Translation simply means moving a shape across the coordinate grid.

Translating one triangle onto the other may not be enough to prove that both triangles are congruent.

Hence, the truth value of (c) is No

(d) Sequence rigid motion of the triangles

Rigid motion simply means transformations that do not alter the size of the triangles.

This must be true, because the triangles may be reflected, rotated or translated onto one another

Hence, the truth value of (d) is Yes

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The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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Answer:

Hope this helps :D

Step-by-step explanation:

Explanation on picture

a. Z-score formula

where,

• x: observed value

• μ: mean

• σ: standard deviation

Substituting with x = $275, μ = $280, and σ = $20, we get:

In terms of the z-score, we need to find

From the table:

Then, the percentage of customers that has daily balances of more than $275 is:

b. Substituting with x = $243, μ = $280, and σ = $20 into the z-score formula, we get:

In terms of the z-score, we need to find:

From the table, the percentage of customers that has daily balances of less than $243 is:

c. Substituting with x₁ = $241 and x₂ = $301.60, μ = $280, and σ = $20 into the z-score formula, we get:

In terms of the z-score, we need to find:

From the first table:

From the second table:

Therefore, the percentage of its customers' balances between $241 and $301.60 is:

P(exactly 20 out of 25 users) ≈ 0.00806

Generally, In mathematics and statistics, probability is a measure of the likelihood that an event will occur. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.

The probability of an event can be calculated by dividing the number of ways that event can occur by the total number of possible outcomes. For example, if a fair coin is flipped, the probability of it landing heads up is 1/2 because there is only one way for it to land heads up out of two possible outcomes (heads or tails).

Probabilities can be expressed in different forms, including fractions, decimals, and percentages. They can also be combined using mathematical operations such as addition, multiplication, and conditional probabilities to calculate more complex probabilities.

Probability theory has applications in many fields, including science, engineering, economics, and social sciences. It is used to make predictions, design experiments, and analyze data.

P(exactly 20 out of 25 users) = (25C20)(0.56^20)(0.44^5)

P(exactly 20 out of 25 users) ≈ 0.00806

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CQ

Excel assume that when adults with smartphones are randomly selected, 56% use them in meetings or in classes. if 25 adult smartphone users are randomly selected, find the probability that exactly 20 of them use their phones in meetings or in classes

The function y = 10.25 + (2/9)x that gives the total cost for any number of samples x.

What is the linear function?

A linear function is when a variable y varies directly with a variable x. That is, when y increases, x also increases and the opposite is also true.

Let's call the cost of the admission "y₁" and the cost of the samples "y₂". Then, we know the following two points from the information given:

(0, y₁) = (0, 10.25)

(9, y₁ + 9y₂) = (9, 12.25)

We can use these two points to write the linear function:

y = y1 + y2x

Now we can substitute in the first point to find y₁:

10.25 = y₁ + 0 * y₂

y₁ = 10.25

So the function becomes y = 10.25 + y₂x

And we can substitute in the second point to find y₂:

12.25 = 10.25 + 9y₂

2 = 9y₂

y₂ = 2/9

So the final linear function that models the cost is:

y = 10.25 + (2/9)x

Hence, The function y = 10.25 + (2/9)x that gives the total cost for any number of samples x.

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Amelia will need 3.6 cups of Cheerios to make 18 cups of her snack mix recipe.

Amelia's snack mix recipe is, so it's impossible to determine the exact amount of Cheerios she'll need without more information.

Assuming that Cheerios are a main ingredient in the snack mix, it's possible to estimate the amount based on some assumptions and calculations.

Let's assume that the snack mix recipe includes five different ingredients, including Cheerios, nuts, pretzels, raisins, and chocolate chips, and each ingredient is present in equal amounts. In other words, each ingredient makes up 20% of the total mix.

Amelia is making 18 cups of snack mix, she'll need 3.6 cups of each ingredient.

Let's assume that Cheerios are the only dry ingredient in the recipe, while the other ingredients are wet and won't affect the amount of Cheerios needed.

Amelia will need 3.6 cups of Cheerios to make 18 cups of snack mix.

If the recipe calls for more or less Cheerios, or if there are other dry ingredients involved, the amount of Cheerios needed could be different.

It's important to have the exact recipe in order to determine the precise amount of Cheerios needed.

The actual amount may vary depending on the recipe.

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Check the picture below.

\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=8\\ b=12\\ h=7 \end{cases}\implies A=\cfrac{7(8+12)}{2}\implies A=70\)

Answer:

x = -1

y = -7

Step-by-step explanation:

y=9x+2`

-2x+7y=-47  ==> isolate y

Equation 1: 7y = 2x - 47  ==> add 2x on both sides

Equation 2: y = 9x + 2

7 * (y = 9x + 2)

Equation 3: 7y = 63x + 14

Equation 1: 7y = 2x - 47

Subtract equation 1 from equation 3:

  7y = 63x + 14

- (7y = 2x - 47)

7y-7y = 63x-2x + 14-(-47)

0 = 61x + 14 + 47

0 = 61x + 61  ==> solve for x

-61 = 61x  ==> subtract 61 on both sides to isolate x

x = -1

Now solve for y

y = 9(-1) + 2  ==> plugin -1 for x in y=9x+2`

y = -9 + 2  ==> simplify

y = -7

`

Salmonella enterica serovar 4,[5],12:i:- has emerged as the most commonly recognized serovar from swine clinical samples. This is often found in pig farming environments and human salmonellosis cases.

The emergence of Salmonella enterica serovar 4,[5],12:i:- as the primary serovar identified from swine clinical samples has a great impact on swine industry.

This is because the outbreak of salmonellosis and other related diseases among swine can negatively impact the marketability of pork products.

Salmonella enterica serovar 4,[5],12:i:- is often linked to swine-associated infections and has been reported to cause a number of different types of illness in humans, including diarrhea and food poisoning.The development of a multiplex real-time PCR for improved Salmonella serovar-level identification has enabled an improvement in the detection of Salmonella.

Multiplex real-time PCR has become a critical tool in the detection of many types of infectious diseases. It allows researchers to accurately identify the specific serovar that is responsible for an outbreak of salmonellosis.

In summary, the emergence of Salmonella enterica serovar 4,[5],12:i:- has led to the development of a multiplex real-time PCR that has greatly improved Salmonella serovar-level identification.

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Answer: 1= ( 13 + 4g )

2= ( 4(10) + 13 )

3= ( 13 + 4(10) )

4= ( 53 )

5= ( 21 )

Step-by-step explanation:

The equivalent expression by cumulative property is,

                    \(4g+13=13+4g\)

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

                      \(a+b=b+a\)

Given expression is,  \(4g+13\)

The equivalent expression by cumulative property is,

                    \(4g+13=13+4g\)

For \(g=10\),    

                    \(4(10)+13=13+4(10)\\\\40+13=13+40\\\\53=53\)

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Answer:

y= - 4/6x+1.66

Step-by-step explanation:

To get the slope you subtract y2-y1 / x2-x1. This gives the slope. Then you need to get the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

a number can be written a "x".

"minus" is a key word for subtraction.

"is" is a key word for =.

So if we put that all together, we have

x-3=5

To solve it, we have to add 3, to cancel it out, and add 3 to 5.

x-3=5

+3 +3

x=8

---

hope it helps

The average waiting time in minutes is approximately 0.317 minutes.

To determine the average waiting time in minutes, we can use the queuing theory formula for average waiting time in an\($\mathrm{M} / \mathrm{M} / \mathrm{c}$\) queue:

\($$W_q=\frac{\rho^{c+1}}{c ! \cdot(1-\rho)} \cdot \frac{1}{\mu-\lambda}$$\)

Where:

\($W_q$\) is the average waiting time in the queue.

\($\rho$\) is the traffic intensity, given by $\frac{\lambda}{c \cdot \mu}$.

\($c$\) is the number of service channels (cashiers).

\($\mu$\) is the service rate (customers per hour).

\($\lambda$\)  is the arrival rate (customers per hour).

Given:

\($\lambda=85.5$\)customers per hour.

\($\mu=19$\) customers per hour.

\($c=5$\) cashiers.

First, let's calculate $\rho$ :

\($$\rho=\frac{\lambda}{c \mu}=\frac{85.5}{5 \cdot 19} \approx 0.9011$$\)

Now, let's calculate \($W_q$\) :

\($$W_q=\frac{\rho^{c+1}}{c ! \cdot(1-\rho)} \cdot \frac{1}{\mu-\lambda}\\=\frac{0.9011^{5+1}}{5 ! \cdot(1-0.9011)} \cdot \frac{1}{19-85.5} \\\approx 0.317 \text { (rounded to two decimal places) }$$\)

Therefore,the average waiting time in minutes is approximately 0.317 minutes.

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Answer:

y = 1

x = 3

Step-by-step explanation:

First, try to eliminate one of the variables.

Steps:

1)  3x - 2y = -5

 -

   2x - 4y = 2

2)  (3x - 2y = -5)*2

    -

     (2x + 4y = 2)*3

3)   6x - 4y = -10

     -

      6x + 12y = 6

#subtract and you will get -16y = -16

4)  -16y = -16

   = y = -16/-16

   = y = 1

5) substitute the value of y...

2x - 4y = 2

2x - 4*1 = 2

2x - 4 =2

2x = 2 + 4

2x = 6

x = 6/2

x = 3

Hope you find it helpful...

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Answer:

no 4 isnt. if it was that means it would be 12+8=4. its correct

the correct answer is 3(-4/3)+8=4

Step-by-step explanation:

Answer:

Answer:

just times the area by 6!

Step-by-step explanation:

if the surface area means area of all the faces of the cube, that means 6 areas of the same length and width! multiplying the area by 6 will result in your answer :)

Answer:

the time period is 38.28 years

Step-by-step explanation:

The computation of the time period is shown below:

Given that

RATE = 6.2%

PV = $500

PMT = $0

FV = $5,000

The formula is shown below:

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 38.28 years

Hence, in order to save $5,000 it would take 38.28 years

The volume of the cylinder is 1692.46dm³.

It should be noted that the volume of a cylinder is calculated as:

= πr²h

r = radius = 7dm

h = height = 11dm

Volume = πr²h

Volume = 3.14 × 7² × 11

Volume = 3.14 × 49 × 11

Volume = 1692.46dm³

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0.0166 correct to two significant figures is 0.016.

To write 0.0166 to two significant figures, we need to look at the first two significant digits of the number, which are 1 and 6.

Since the digit after 6 is less than 5, we round down the last significant digit (6) to get:

0.016

Therefore, 0.0166 correct to two significant figures is 0.016.

Significant figures (also known as the significant digits, precision or resolution) of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something.

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0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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Answer:120 plus 80 plus 17 equals 217

Step-by-step explanation:

Answer:

Step-by-step explanation:

217

The expression 12 + 4y is represented as "the sum of 12 and the product of 4 and y." This is because the term 12 represents a constant value that is being added to the product of 4 and y, which represents the variable value in the expression.

The expression can be written as 12 + 4y, where 12 and 4y are being added together. This can also be written as 4y + 12, which shows that the order of addition does not matter when adding constant and variable terms.

Student response: "I think that 12 + 4y is represented as "12 multiplied by 4 and added to y." This is because the product of 12 and 4 is 48, and that value is being added to the variable y."

Response: The student's response is incorrect. The expression 12 + 4y is not represented as "12 multiplied by 4 and added to y." This is because the term 12 is not being multiplied by 4, but rather is being added to the product of 4 and y. Therefore, the correct representation is "the sum of 12 and the product of 4 and y," as explained earlier.

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Answer:

\(x = 9\)

\(y = 17\)

Step-by-step explanation:

This is a cyclic quadralterial so opposite angles are supplementary.

The x variables add up to 180 so

\(11x + 8 + 8x + 1 = 180\)

\(19x + 9 = 180\)

\(19x = 171\)

\(x = 9\)

The y variables add up to 180.

\(6y - 4 + 5y - 3 = 180\)

\(11y - 7 = 180\)

\(11y = 187\)

\(y = 17\)

Answer:

1, 2, 5!

Step-by-step explanation:

1. Maria rode 75 miles in 2 hours and 45 minutes.

2. Travis rode 36 miles in 1 hour and 20 minutes.

5. Carl rode 22 miles in 1 hour.

hope this helps!!!!!!

plz mark brainliest!

Answer:

B

Step-by-step explanation:

The function that describes the one-sided limits at x = c.

\(\lim_{x \to c^-} g(x) = a\\\\ \lim_{x \to c^-} g(x) = a\)  ( for some value of a).

A discontinuity is removable if the limit of the function at the point of discontinuity exists and the value of the function exists but they aren't equal to each other.

We can remove that discontinuity by making the value of the function equate to the limiting value of the function at that point.

Function g(x) has a removable discontinuity at x = c,

where g(c) is undefined.

In this case, the statement that's is true for g(x) is that you can remove the discontinuity at x = c by defining g(c) = a.

The function that describes the one-sided limits at x = c.

\(\lim_{x \to c^-} g(x) = a\\\\ \lim_{x \to c^-} g(x) = a\)  ( for some value of a).

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