A bank account balance decreases $735
in 3 weeks. What is the average daily
change in the balance?

The insufficient evidence to suggest that a higher proportion of Seniors are attending Prom than Juniors.

1. STATE:Parameter: proportion of Juniors attending Prom, proportion of Seniors attending PromStatistic: the sample proportions of Juniors and Seniors who are planning on attending PromHypotheses:H0: pJ = pS (the proportion of Juniors attending Prom is equal to the proportion of Seniors attending Prom)Ha: pJ < pS (the proportion of Juniors attending Prom is less than the proportion of Seniors attending Prom)Significance level: α = 0.05 (5%)2. PLAN:Procedure: two-sample z-test for proportionsConditions:Randomization: The students were randomly selected from each grade level.Independence: The samples are independent as they come from different grade levels.Large Sample: npJ ≥ 10, n(1 − pJ) ≥ 10, npS ≥ 10, n(1 − pS) ≥ 103. DO:Mean:pJ − pSPicture:Standard deviation:Formula:General formula: Z = (pJ − pS) / SEpJ = number of Juniors who are planning to attend Prom / sample size of JuniorsnJ = sample size of JuniorspS = number of Seniors who are planning to attend Prom / sample size of SeniorsnS = sample size of SeniorsSE = sqrt[(pJ(1 - pJ))/nJ + (pS(1 - pS))/nS]Specific formula: Z = (0.56 - 0.64) / 0.092 = -0.87Test statistic: Z = -0.87P-value:P(Z < -0.87) = 0.1935Because the p-value (0.1935) is greater than the significance level (0.05), we fail to reject the null hypothesis. There is insufficient evidence to suggest that a higher proportion of Seniors are attending Prom than Juniors.

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Answer:

4

Step-by-step explanation:

For different problems or situations, the unit might be different (dollars, miles, crocodiles, etc). However, a unit rate can be used to compare two rates and is always equal to any other rate you can write for the same problem. (since 4 is clearly false, I assume 1 is correct, even though it seems to have been cut off).

a) The determinant of the matrix 1/2A is 1/2,

b) The determinant of the matrix B⁻¹Aˣ is 2/3.

a. det(1/2 A):

To determine the determinant of the matrix 1/2A, we can use the property that the determinant of a scalar multiple of a matrix is equal to the scalar multiplied by the determinant of the original matrix. In this case, we have 1/2A, so we need to find det(1/2A).

Applying the property mentioned above, we get:

det(1/2A) = (1/2)³ * det(A)

Since A is a 3 x 3 matrix with det A = 4, we substitute the given value into the equation:

det(1/2A) = (1/2)³ * 4

Simplifying the expression:

det(1/2A) = 1/8 * 4

det(1/2A) = 1/2

Therefore, the determinant of the matrix 1/2A is 1/2.

b. det(B⁻¹Aˣ):

To determine the determinant of the matrix B⁻¹Aˣ, we can use two important properties of determinants:

The determinant of the product of two matrices is equal to the product of their determinants. In mathematical notation, det(AB) = det(A) * det(B).

The determinant of the transpose of a matrix is equal to the determinant of the original matrix, i.e., det(Aˣ) = det(A).

Using these properties, we can express the determinant of B⁻¹Aˣ as:

det(B⁻¹Aˣ) = det(B⁻¹) * det(Aˣ)

The determinant of B⁻¹ can be found using the property of the inverse of a matrix:

det(B⁻¹) = 1/det(B)

Substituting the given value det B = 6 into the equation:

det(B⁻¹) = 1/6

The determinant of Aˣ is the same as the determinant of A, so:

det(Aˣ) = det(A)

Now we can rewrite the expression for det(B⁻¹Aˣ):

det(B⁻¹Aˣ) = (1/6) * det(A)

Substituting the given value det A = 4 into the equation:

det(B⁻¹Aˣ) = (1/6) * 4

Simplifying the expression:

det(B⁻¹Aˣ) = 4/6

det(B⁻¹Aˣ) = 2/3

Therefore, the determinant of the matrix B⁻¹Aˣ is 2/3.

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At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

We can use the chain rule to find the derivative of y = sin(f(x^2)) with respect to x:

dy/dx = cos(f(x^2)) * d/dx[f(x^2)]

To find d/dx[f(x^2)], we can use the chain rule again:

d/dx[f(x^2)] = f'(x^2) * d/dx[x^2] = 2xf'(x^2)

So, putting it all together:

dy/dx = cos(f(x^2)) * 2xf'(x^2)

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

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To find the exact value of the expression 2log₂⁸ - log₂⁹, we can use the properties of logarithms.

First, let's simplify each logarithm separately:

log₂⁸ can be rewritten as log₂(2³), using the property that logₐ(b^c) = clogₐ(b).

So, log₂⁸ = 3log₂(2).

Similarly, log₂⁹ can be rewritten as log₂(3²), since 9 can be expressed as 3².

So, log₂⁹ = 2log₂(3).

Now, substituting these simplified forms back into the original expression:

2log₂⁸ - log₂⁹ = 2(3log₂(2)) - (2log₂(3))

Using the property that alogₐ(b) = logₐ(b^a), we can further simplify:

= log₂(2³) - log₂(3²)

= log₂(8) - log₂(9)

Applying the property that logₐ(b) - logₐ(c) = logₐ(b/c), we have:

= log₂(8/9)

Therefore, the exact value of the expression 2log₂⁸ - log₂⁹ is log₂(8/9).

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Answer:

I believe the answer is $455

Answer:

the answer from IXL is $455

Step-by-step explanation:

The correct probability distribution to use is the Poisson distribution with lambda=0.34, which corresponds to option E. Poisson (lambda=0.34).

The Poisson distribution is appropriate here because it models the number of events (errors) in a fixed interval (number of words typed). In this case, the clerk makes 6 errors per hour, and types at a rate of 75 words per minute.
First, you need to find the average number of errors per word:
Errors per minute = 6 errors/hour * (1 hour/60 minutes) = 0.1 errors/minute
Errors per word = 0.1 errors/minute * (1 minute/75 words) = 0.001333 errors/word
Now, you can calculate the lambda (average number of errors) for the 255-word bond transaction:
Lambda = 0.001333 errors/word * 255 words = 0.34 errors
So, the correct probability distribution to use is the Poisson distribution with lambda=0.34, which corresponds to option E. Poisson (lambda=0.34).

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Answer:

b

Step-by-step explanation:

11+11+10+10=42cm

Answer:

96%

Step-by-step explanation:

4800÷5000

Answer:lol

Step-by-step explanation:lol

Answer:

51.2

Step-by-step explanation:

We do 80 times 0.64 (as 0.64 is the percent). This is the same thing as asking for 80% of 60.

Answer: 51.2

Step-by-step explanation:

If you want to find a part out of a number, you use the equation:

Part = Percent x whole

For this equation, you can do 64/100 x 80, because 64% is equal to 64/100

64/100 x 80 = 51.2

In conclusion, 64% of 80 is 51.2.

Hope this helps!

There are a total of 212 pounds of berries, and the number of friends sharing the berries is equal to 4.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

The total amount of berries = 212 pounds

The number of berries received by each one = 54 pounds

Then, the number of friends sharing the berries is:

212/54 = 3.92 ≈ 4 friends.

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Differentiate the functions

a) y' = 5*2⁵ˣ*ln(2) + (3/(3x-5))*(1/ln(2))

b) f'(x) = (8x-1+10)/(4x²-x+10)

c) g'(t) = 1

d) h'(x) = (1/(1+x) + 1/(1-x)) / 2.

a) y = 2⁵ˣ + log₂(3x - 5)
Differentiate using the chain rule and properties of logarithms:
y' = 5*2⁵ˣ*ln(2) + (3/(3x-5))*(1/ln(2))

b) f(x) = log(4x² - x + 10ˣ)
Apply the chain rule and properties of logarithms:
f'(x) = (8x-1+10)/(4x²-x+10)

c) g(t) = ln(\(e^t^+^1\) / (1+6t+t²))
Using properties of logarithms, we can simplify this to:
g(t) = (t+1) - ln(1+6t+t²)
Differentiate using the chain rule:
g'(t) = 1

d) h(x) = ln(4√(1+x) / (1-x))
Using properties of logarithms, we can simplify this to:
h(x) = (1/2) * ln((1+x)/(1-x))
Differentiate using the chain rule:
h'(x) = (1/(1+x) + 1/(1-x)) / 2.

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Answer:

B) 5%

Step-by-step explanation:

Answer: 6x^5

Step-by-step explanation:

=3x^4* 2x

=6x^5

The value of the cos(A - B) in simplest form would be 273/100.

What are the trigonometric angles?

Trigonometry angles are the angles given by the ratios of the trigonometric functions. Trigonometry deals with the study of the relationship between angles and the sides of a triangle. The angle value ranges from 0-360 degrees. The important angles in trigonometry are 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°.

sin B = 3/5

tan A = 5/12

We have find cos(A - B)

first, let’s hope these are both all-integer triangles:

In a 3-4-5 Right triangle,

sinB = 3/5, cos B = 4/5

For tanA = 5/12 the hypotenuse turned out to be 13.

sin A = 5/12

cos A = 12/13

So now we just use the identity for cos ( A +  B )

cos(A - B) = cosAcosB + sinAsinB

                = (12/13)(4/5) + (5/12)(3/5)

                = (60 + 52/65) + (25 + 36/60)

                = (112/65) + (61/60)

                = 273/100

Hence, the value of the cos(A - B) in simplest form would be 273/100.

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Answer:

-8 × 3 = - 3 × ( 8)

or -21 = -21

Answer:

-21

Step-by-step explanation:

The​ chi-squared statistic measures which of the "goods of fit". Therefore option B is correct.

The chi-squared statistic is a statistical measure that is used to test the goodness of fit between an observed frequency distribution and an expected frequency distribution. It measures how well the observed values fit the expected values and quantifies the differences between them.

The calculation of the chi-squared statistic involves comparing the observed and expected frequencies for each category and computing a sum of squared differences between them, divided by the expected frequency. The resulting value indicates the degree to which the observed frequencies differ from the expected frequencies.

In summary, it can be sais that the chi-squared statistic is used to assess whether the observed frequencies are consistent with the expected frequencies or not , and it is commonly used in hypothesis testing, particularly in testing for independence in contingency tables or testing the fit of a model to observed data.

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Answer:

mmmmmvmbabdjfbfjbsjbfjbsfjbf

Step-by-step explanation:

The matrix of the relation r={(1,2),(2,3),(3,4),(4,5)} on the set x={1, 2, 3, 4, 5}; ordering of x:1,2,3,4,5 is as follows.

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

A relation is a set of ordered pairs.

The matrix of a relation is constructed by using its ordered pairs with their respective values as its entries, and its rows and columns by its domain and range, respectively.

So, the relation r is given as{(1,2),(2,3),(3,4),(4,5)}

The elements in the rows of the matrix correspond to the elements of x, while the elements in the columns of the matrix correspond to the elements of x as well, in that order.

So, the matrix of r on x can be written as:

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

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Answer:0

Step-by-step explanation:anything divided or multiplied by zero is zero for example how many times does 6 go into 0? ....zero!

Answer:

i will go look

Step-by-step explanation:

Answer:

162 pups are on the beach

Step-by-step explanation:

9/20 of 360

The key word "of" tells us to multiply

Variable x = number of pups

9/20 × x/360

Cross multiply

9 × 360 = 20 × x

3,240 = 20x

Divide both sides by 20

162 = x

Check our work:

9/20 = 162/360

Cross multiply

9 × 360 = 20 × 162

3,240 = 3,240

Correct

Answer: See Explanation

Step-by-step explanation:

You didn't really say what you want to calculate but based on the information, I'll assume that you want to calculate the total cost.

Since he expression 4(a+12)+5(8) represents the total cost of the tickets. Therefore, the total cost will be:

= 4(a+12)+5(8)

= 4a + 48 + 40

= 4a + 88

The missing side length for the two similar triangle is (x = 7/3).

In the given question, two triangle are given.

As, both triangles are similar. Then, the ratio of their corresponding sides are equal.

Thus,

7/12 = x/4

x = 3/7

Therefore, the missing side length x for the two similar triangles is 7/3.

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In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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2.5 oz of the given food contains 237.5 calories.

To solve the given problem, first we need to know the unitary method of solving the problem involving ratio and proportion.

Unitary method is the method of solving the problems in which we find the value of one unit first and then multiply it to find the required value. It is used to find the value of a unit, when the value of another unit is given.

So, to solve the given problem, we need to first find the value of 1 oz.

Let x be the number of calories in 1 oz of the given food.

Then we can say that,2 oz of the food has = 2x calories. (According to given data, 2 oz is 190 calories)

To find the calories in 2.5 oz of the food, we can use the unitary method;

Number of calories in 1 oz = x

Number of calories in 2 oz = 2x

Number of calories in 2.5 oz = 2.5x calories

We can use the proportionality concept of unitary method;

So, 2 oz of the food has = 2x calories.

1 oz of the food has = x calories.

Thus, 2 oz of the food has = 2 times the calories in 1 oz of the food.

Hence, the number of calories in 1 oz of the food is 190/2 = 95 calories.

So, Number of calories in 2.5 oz of the food = 2.5 times the calories in 1 oz of the food

= 2.5 × 95 calories

= 237.5 calories.

Therefore, 2.5 oz of the given food contains 237.5 calories.

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Answer:

F=ma

F=1250*40

F=50000N

The association on the line is a negative linear assosciation and other solutions are shown below

To find the slope of the line passing through the given points, we use the slope formula

slope = (change in y) / (change in x)

Let's use the points (0, 90) and (8, 40) to find the slope:

slope = (40 - 90) / (8 - 0) = -50 / 8 = -6.25

The y-intercept is 90 i,e, when x = 0

The equation is represented as

y = mx + c

Where

m = slope and c = y when x = 0

So, we have

y = -6.25x + 90

The association on the line is a negative linear assosciation

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The private spilled 0.35 litres of fuel

The first step is to convert 6.5 hectolitres to litres

= 6.5 × 100

= 650 litres

Next is to convert millilitres to litres

= 350/1000

= 0.35 litres

Hence the number of litres spilled is 0.35 litres

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