Select the equation that best represents the scenario above

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

To find how many picture are in the yearbook, multiply the number of pages of the yearbook by the number of pictures on one page. This is 32 times 8:

There are 256 picture in the yearbook.

Answer:

2

Step-by-step explanation:

T test is used to compute the confidence interval, when the mean and standard deviation is given.

What is Standard Deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test

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Answer:

the answer is option B and option C

Step-by-step explanation:

Answer:

is there something that goes with it or?

Step-by-step explanation:

Answer:

168cm

Step-by-step explanation:

Length: 8cm

Width: 3cm

Height: 7cm

I divided 8 and 7 first and got 56.

Next I multiplied 56 and 3 and got 168.

So the length is 168cm

(Hope this helped! <3)

(sorrry if its wrong I feel stupid today)

To answer the questions related to the probability of droplet sizes, we'll use the normal distribution with the given mean and variance. Let's solve each part of the question:

a. Probability that the size of a single droplet is less than 1500 μm:

To find this probability, we need to calculate the cumulative distribution function (CDF) of the normal distribution up to 1500 μm. We'll use the z-score formula:

z = (x - μ) / σ

Where:

x = droplet size (1500 μm)

μ = mean (1050 μm)

σ = standard deviation (square root of the variance, which is sqrt(22500 μm))

Calculating the z-score:

z = (1500 - 1050) / sqrt(22500)

= 450 / 150

= 3

Using the z-score table or a calculator, we can find that the cumulative probability corresponding to z = 3 is approximately 0.9987.

Therefore, the probability that the size of a single droplet is less than 1500 μm is approximately 0.9987.

b. Probability that the size of a single droplet is between 1000 and 1500 μm:

Similar to part (a), we need to calculate the cumulative probability for two values: 1000 μm and 1500 μm. Let's calculate the z-scores for both values:

For 1000 μm:

z_1000 = (1000 - 1050) / sqrt(22500)

For 1500 μm:

z_1500 = (1500 - 1050) / sqrt(22500)

Once we have the z-scores, we can find the corresponding cumulative probabilities using the z-score table or a calculator. Then, we subtract the probability for 1000 μm from the probability for 1500 μm to find the probability between the two values.

c. Characterizing the smallest 2% of all droplets:

To characterize the smallest 2% of droplets, we need to find the droplet size that corresponds to the 2nd percentile of the normal distribution. In other words, we need to find the value x such that the cumulative probability up to x is 0.02. We can use the z-score formula to solve for x:

z = (x - μ) / σ

We'll find the z-score corresponding to the cumulative probability 0.02 using the z-score table or a calculator. Then, we can rearrange the formula to solve for x:

x = z * σ + μ

d. Probability that at least one of five independently selected droplets exceeds 1500 μm:

To find this probability, we'll use the complement rule. The probability that none of the five droplets exceed 1500 μm is the complement of the probability that at least one of them exceeds 1500 μm. We can calculate this probability by subtracting the probability of none from 1. We'll use the probability obtained in part (a) for a single droplet.

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Answer:

When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is 1:6. This is an example of theorectical probability.

Step-by-step explanation:

The probability of rolling a 2 on a 6-sided dice is  

1

6

The probability of rolling two 2s on two 6-sided die is, by the multiplication principle,  

1

6

×

1

6

=

1

36

Subjective is something that is based on personal opinion, so I think the answer is actually theoretical probability! Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Hope this helps, have a good day :)

(brainliest would be appreciated?)

To solve for f(x), we need to integrate both sides of the given differential equation:

dy/dx = 34yx^-16

∫dy/y = ∫34x^-16 dx

ln|y| = -34x^-15/15 + C

where C is the constant of integration.

To find C, we use the fact that the y-intercept of the curve y = f(x) is 2. This means that when x = 0, y = 2. Substituting these values into the equation above, we get:

ln|2| = C

C = ln|2|

So the equation for the curve y = f(x) is:

ln|y| = -34x^-15/15 + ln|2|

Simplifying and exponentiating both sides, we get:

y = e^(ln|2|) * e^(-34x^-15/15)

y = 2 * e^(-34x^-15/15)

Therefore, f(x) = 2 * e^(-34x^-15/15), and the y-intercept of the curve y = f(x) is 2. The curve is a decreasing exponential curve that approaches the x-axis but never touches it.

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Answer:

3

Step-by-step explanation:

company g is charging 10 per  hour and in the graph when it is zero hours it shows the base charge which is 25 but in addition when you add an hour if you subtract that amount minus the flat amount 25 you will get 7 and will continue to do so as you continue across the graph 10-7 equals 3

I can create the schedule 181440 ways for the week.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, As a television executive, you have been given 9 shows to choose from and you have 7-time slots.

Therefore, The first slot can be filled by 9 different shows, And the next can be done is 8 different shows.

Continuing this way we can fill 7 slots with 9 different shows as,

9×8×7×6×5×4×3 ways.

= 181440 ways.

It is a permutation so we can also have calculated as, \(^9P_7 = \frac{9!}{(9-2)!}\) ways.

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Solution

For this case we can do the following:

Then if we simplify we got:

The quotient from the given division is 265.

Given that, 60 divided by 12/53.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 60 ÷ 12/53

= 60 × 53/12

= 5 × 53

= 265

Therefore, the quotient from the given division is 265.

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The area of the circle with a diameter of 20 inches is 100π square inches, and the circumference of the circle is 20π inches.

To determine the area and circumference of a circle with a diameter of 20 inches, you need to use the formulas for these measures.

A circle is a set of points that are equidistant from the center point, and the diameter of a circle is the longest line that can be drawn from one point on the circle to another while passing through the center point. The formulas for the area and circumference of a circle are as follows:

A = πr²C = πd

where A is the area of the circle, C is the circumference of the circle, r is the radius of the circle, d is the diameter of the circle, and π (pi) is a mathematical constant that approximates to 3.14.

To find the area of a circle with a diameter of 20 inches, you need to find the radius of the circle first. The radius is half of the diameter, so r = d/2 = 20/2 = 10 inches. Therefore, the area of the circle is:A = πr² = π(10)² = 100π square inches (rounded to two decimal places).

To find the circumference of a circle with a diameter of 20 inches, you can either use the formula C = πd or you can use the formula C = 2πr. Since you already know the diameter, let's use the first formula. C = πd = π(20) = 20π inches (rounded to two decimal places).

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If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.

To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;

C² = a² + b²

where;

a= 80

b= 100

c= ?

That is;

c²= 80²+100²

= 6400+10000

= 16,400

c = √16400

= 128.1m

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Conducting multiple t-tests can be time-consuming and requires a larger sample size to ensure sufficient power to detect differences between the groups. This may increase the cost and resources required for the study.

What is analysis in mathematics?

The analysis is a branch of mathematics that deals with the study of functions, sequences, and limits. It is concerned with understanding how functions behave, how they change and grow, and how they can be approximated and analyzed.

There are several difficulties in conducting a multiple two-sample t-test analysis to compare four diets pairwise in the described study.

One difficulty is that the multiple t-tests increase the risk of Type I errors, which are false positive findings. When multiple tests are conducted, the overall probability of making at least one Type I error increases. This can lead to the conclusion that a difference exists between two groups when in fact there is no real difference. To control for this risk, the researchers would need to use a stricter significance level or adjust the p-values using a method such as the Bonferroni correction.

Another difficulty is that the multiple t-tests do not take into account the relationships between the different groups being compared. For example, if the low-carb diet group has significantly different outcomes from the control group, this may also affect the results of the comparison between the low-carb diet and the other diet groups. A more comprehensive analysis method, such as a one-way ANOVA or a multivariate analysis, would be needed to account for these relationships.

Hence, conducting multiple t-tests can be time-consuming and requires a larger sample size to ensure sufficient power to detect differences between the groups. This may increase the cost and resources required for the study.

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Answer:

29.4

Step-by-step explanation:

42*0.7

Answer:

C) 29.4

Step-by-step explanation:

Plug in 42 for t in the equation:

f(t) = 0.7t

t = 42

f(42) = 0.7 * (42)

Multiply:

f(42) = 0.7 * 42

f(42) = 29.4

C) 29.4 is your answer.

~

Answer:

6 + 10x < -23

Step-by-step explanation:

6 increased by (+) 10x (the product of a number and 10) < (is less than) -23

The derivative operator distributes over sums, so

\((a f(x) + b g(x))' = a f'(x) + b g'(x)\)

Then

\(h(x) = 5f(x) - 4g(x) \implies h'(x) = 5 f'(x) - 4 g'(x) \\\\ \implies h'(2) = 5(-2) - 4(7) = \boxed{-38}\)

Use the product rule,

\((f(x)g(x))' = f'(x) g(x) + f(x) g'(x)\)

Then

\(h(x) = f(x) g(x) \implies h'(x) = f'(x) g(x) + f(x) g'(x) \\\\ \implies h'(2) = (-2) (4) + (-3) (7) = \boxed{-29}\)

Use the quotient rule,

\(\left(\dfrac{f(x)}{g(x)}\right)' = \dfrac{f'(x) g(x) - f(x) g'(x)}{g(x)^2}\)

Then

\(h(x) = \dfrac{f(x)}{g(x)} \implies h'(x) = \dfrac{f'(x) g(x) - f(x) g'(x)}{g(x)^2} \\\\ \implies h'(2) = \dfrac{(-2)(4) - (-3)(7)}{4^2} = \boxed{\dfrac{13}{16}}\)

Use the quotient rule again.

\(h(x) = \dfrac{g(x)}{1 + f(x)} \implies h'(x) = \dfrac{g'(x) (1+f(x)) - g(x) f'(x)}{(1+f(x))^2} \\\\ \implies h'(2) = \dfrac{7(1 - 3) - 4 (-2)}{(1 - 3)^2} = -\dfrac64 = \boxed{-\dfrac32}\)

Answer:

c

Step-by-step explanation:

Answer:

A counterclockwise rotation of 270º about the origin is equivalent to a clockwise rotation of 90º about the origin. Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

Hope it helped u if yes mark me BRAINLIEST... Plz. Plz plz!

Tysm!

Answer:

Step-by-step explanation:

Top left

Top right

Bottom left

Bottom right

Answer:

AAS, HL, ASA, Not enough info

Step-by-step explanation:

Answer:

The satisfied table of the given function\(y = log_{b} (x)\)

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

Step-by-step explanation:

Explanation :-

Given logarithmic function \(y = log_{b} (x)\)   if b >1

Given first table

i)

put x = \(\frac{1}{8}\)     given b > 1 so we can choose b = 2

\(y = log_{2} (\frac{1}{8} )\)

\(y = log_{2} (2^{-3} )\)

we will apply logarithmic formula

log x ⁿ = n log (x)

\(y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3\)

y = -3

ii)

put x = \(\frac{1}{4}\)     given b > 1 so we can choose b = 2

\(y = log_{2} (\frac{1}{4} )\)

\(y = log_{2} (2^{-2} )\)

we will apply logarithmic formula

log x ⁿ = n log (x)

\(y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2\)

y = -2

iii)

put x = \(\frac{1}{2}\)     given b > 1 so we can choose b = 2

\(y = log_{2} (\frac{1}{2} )\)

\(y = log_{2} (2^{-1} )\)

we will apply logarithmic formula

log x ⁿ = n log (x)

\(y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1\)

y = -1

iv)

put x = 1     given b > 1 so we can choose b = 2

\(y = log_{2} (1 )\) = 0

y = 0

v)

put x = \(2\)     given b > 1 so we can choose b = 2

\(y = log_{2} (2 )\)

y = 1

Final answer:-

The satisfied table of the given function

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

The first option is correct because that table of values represents the graph of a logarithmic function in the form \(y=\log_b x,b>1\).

Given:

The lograrithmic function form is \(y=\log_b x,b>1\).

To find:

The table of values that represents the graph of a logarithmic function in the form \(y=\log_b x,b>1\).

Explanation:

It is given that \(b>1\). Let \(b=2\), then

\(y=\log_2 x\)          ...(i)

Substitute \(x=\dfrac{1}{8}\) in (i), we get

\(y=\log_2 \dfrac{1}{8}\)

\(y=\log_2 \dfrac{1}{2^3}\)

\(y=\log_2 2^{-3}\)

\(y=-3\)

Substitute \(x=\dfrac{1}{4}\) in (i), we get

\(y=\log_2 \dfrac{1}{4}\)

\(y=\log_2 \dfrac{1}{2^2}\)

\(y=\log_2 2^{-2}\)

\(y=-2\)

Substitute \(x=\dfrac{1}{2}\) in (i), we get

\(y=\log_2 \dfrac{1}{2}\)

\(y=\log_2 2^{-1}\)

\(y=-1\)

Substitute \(x=1\) in (i), we get

\(y=\log_2 1\)

\(y=0\)

Substitute \(x=2\) in (i), we get

\(y=\log_2 2\)

\(y=1\)

The table of values is:

\(x\)     \(y\)

\(\dfrac{1}{8}\)     \(-3\)

\(\dfrac{1}{4}\)     \(-2\)

\(\dfrac{1}{2}\)     \(-1\)

\(1\)     \(0\)

\(2\)     \(1\)

Therefore, the first option is correct.

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Answer:

Well it is 16

Step-by-step explanation:

the rectangle has 2 of the same sides for each side, so 3x2+5x2, a square has all sides equal to each other, so 4x4

So Now we do the easy part|
The rectangle that is grey:
3x2 = 6
5x2 = 10
6+10 =16

The orange square:
4x4 = 16
4+4=8
4+4=8
8+8=16

Therefore both are 16, meaning 16 must be the perimeter for both!

Answer:

288cm²

Step-by-step explanation:

The volume of a rectangular prism can be easily calculated by multiplying the height by the width by the length

Assuming that the lengths given ( 6cm, 4cm and 12cm )  are the width, height and length

If so then the volume is equal to 6 * 4 * 12

6 * 4 = 24

24 * 12 = 288

volume = 288cm²

Answer:

The answer is 288

Step-by-step explanation:

I don't want to go into detail because the first guy already did., but check your formulas and what you are given and find the answers

There are 3 cases to consider when determining horizontal asymptotes:

1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)

2) Case 2: if: degree of numerator = degree of denominator.

3) Case 3: if: degree of numerator > degree of denominator.

Answer:

It is 13 21/32 hope this helps

The solution to the expression when a = 0.25 and b = -1 is -31.5

From the question, we are to evaluate the given expression for the given values of a and b.

From the given information,

The given expression is

36a + 42b - 18a + 6

and

a = 0.25 and b = - 1

Substitute the values of a and b into the given expression

36a + 42b - 18a + 6

36(0.25) + 42(-1) -18(0.25) + 6

= 9 - 42 - 4.5 + 6

Simplifying

= -31.5

Hence, the solution is -31.5

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Answer:

-31.5

Step-by-step explanation:

I Got It Right On CK

Step-by-step explanation:

Probabibility = 1/6 * 1/6 = 1/36 = 2.77%.