5. Drew had $48 in his savings account. Each
week he added $8 to his account. Stacie had
$87 in her account. Each week she took $5
out. After how many weeks will they have the
same amount of money in their savings
accounts?

There's a lack of info regarding the question, however if you are looking for the answer in scientific notation and expanded form, here you go.

Scientific Notation:

\(95\) × \(10^4\)

Expanded Form:

\(950,000\)

Not what you're looking for? Feel free to comment on the matter and we'll see what else we can do to assist you further.

Here, we want to know the percentage that is 1 standard deviation above the mean and 1 standard deviation below the mean

The numbers in each group can be ranked from smallest to largest as follows:

Group 1: 70000 < 5.06 Times 10^6 < 2.5 Times 10^8

Group 2: 8.6 Times 10^-6 < 2.5 Times 10^-4 < .063

The numbers in each group can be ranked from smallest to largest by comparing their values. The smallest number will have the lowest value and the largest number will have the highest value.

Group 1: 2.5 Times 10^8, 70000, 5.06 Times 10^6

In this group, the smallest number is 70000, followed by 5.06 Times 10^6, and the largest number is 2.5 Times 10^8. Therefore, the numbers in this group can be ranked as follows:

70000 < 5.06 Times 10^6 < 2.5 Times 10^8

Group 2: 2.5 Times 10^-4, .063, 8.6 Times 10^-6

In this group, the smallest number is 8.6 Times 10^-6, followed by 2.5 Times 10^-4, and the largest number is .063. Therefore, the numbers in this group can be ranked as follows:

8.6 Times 10^-6 < 2.5 Times 10^-4 < .063

Overall, the numbers in each group can be ranked from smallest to largest as follows:

Group 1: 70000 < 5.06 Times 10^6 < 2.5 Times 10^8

Group 2: 8.6 Times 10^-6 < 2.5 Times 10^-4 < .063

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No , as we fail to reject the null hypothesis Mr. Goodman claim that his evaluations are significantly different than the history department's.

What is null hypothesis?

Test statistic  X2 =1.9196

p value =0.5893

No , as we fail to reject the null hypothesis Mr.Goodman claim that his evaluations are significantly different than the history department.

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The area of the region is  rectangles

The given curves are y = x2 and y = 2 − x2. They intersect at x = 1, y = 1. See the graph below. The shaded region enclosed by the curves is the region whose area we wish to find.To find the area of the shaded region,

The left part of the region is the part bounded by the x-axis, the curve y = x2, and the line x = 1. This region is shown below. To find the area of this region, we integrate with respect to y from y = 0 to y = 1. Along the curve y = x2, the values of x are ± y1/2. So we have to integrate from x = −y1/2 to x = 1.

Thus the area of the right part of the region isThus the total area of the shaded region is Approximating rectangle The area of each approximating rectangle is given by height times width. Since we are dividing the region into two parts we

A typical rectangle is shown below. The value of x corresponding to the lower end of the rectangle is x = −y1/2 and the value of x corresponding to the upper end of the rectangle is x = 1. So the height of the rectangle is x2 and the width is Δy = 1/n. Therefore, the area of the rectangle isSince the rectangle is located below the curve, this approximation underestimates the true area of the region.

 Therefore, the area of the rectangle is Since the rectangle is located above the curve, this approximation overestimates the true area of the region. By computing the sum of the areas of all the approximating rectangles and taking the limit as n approaches infinity, we can find the exact area of the region.

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The inequality that represents the graph is: y < 3x - 4.

The first thing to do is to find the slope of the graph, m, which is the rise over the run of the line. Next is to determine the value of b, which is where the line intercepts the y-axis, and it is referred to as the y-intercept of the graph. Determine the inequality sign to use then substitute the inequality sign for "=", and the values of b and m into y = mx + b.

The slope of the line (m) = rise/run = 3/1

Slope (m) = 3

The y-intercept, b = -4.

The shaded region is below the boundary line which is also a dashed or dotted line. Therefore, the inequality sign to use would be "<".

Substitute m = 3 and b = -4 into y < mx + b to write the inequality:

y < 3x - 4

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The 98% confidence interval for the difference in means between the two populations is (-159.7, -76.3).

To find the 98% confidence interval for the difference in means between two populations, we can use the formula:

Confidence Interval = (x1 - x2) ± t(α/2, v) * sqrt[(s1^2/n1) + (s2^2/n2)]

Where:

x1 is the sample mean of the first population

x2 is the sample mean of the second population

s1 is the standard deviation of the first population

s2 is the standard deviation of the second population

n1 is the size of the first sample

n2 is the size of the second sample

v is the degrees of freedom

t(α/2, v) is the t-score with a significance level of α/2 and degrees of freedom v.

Plugging in the given values, we get:

x1 = 1044

x2 = 1162

s1 = 45

s2 = 59

n1 = 8

n2 = 12

First, let's calculate the degrees of freedom:

v = [(s1^2/n1 + s2^2/n2)^2] / [((s1^2/n1)^2 / (n1 - 1)) + ((s2^2/n2)^2 / (n2 - 1))]

v = [(45^2/8 + 59^2/12)^2] / [((45^2/8)^2 / 7) + ((59^2/12)^2 / 11)]

v ≈ 16.83

We round down to the nearest integer to be conservative, so v = 16.

Next, we need to find the t-score with a significance level of α/2 = 0.01 and degrees of freedom v = 16:

t(0.01/2, 16) = 2.921

Now we can plug in all the values to get the confidence interval:

Confidence Interval = (1044 - 1162) ± 2.921 * sqrt[(45^2/8) + (59^2/12)]

Confidence Interval = -118 ± 41.7

Therefore, the 98% confidence interval for the difference in means between the two populations is (-159.7, -76.3).

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Answer:

If the coin is fair, then the odds of getting heads or tails should be equal, 12. Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.

Answer:

1/8 or 12.5%

Step-by-step explanation:

The odds of getting heads is 50% (1/2) each time.

So putting the odds to the power of three will provide the odds of getting heads 3 times.

1/2 * 1/2 * 1/2 = 1/8 or 12.5%

To develop an estimated regression equation to account for seasonal effects in the data, we can use dummy variables.

We need three dummy variables to represent the quarters: Q1, Q2, and Q3. For each quarter, the dummy variable will take a value of 1 if it corresponds to that quarter, and 0 otherwise. Let's denote the dependent variable as Y and the independent variable as X. To account for seasonal effects, we can introduce three dummy variables: Q1, Q2, and Q3.

For Q1, the dummy variable can be represented as follows: Q1 = 1 if the observation belongs to Q1 . Q1 = 0 if the observation does not belong to Q1 (Q2 or Q3) Similarly, for Q2 and Q3, the dummy variables can be defined as follows: Q2 = 1 if the observation belongs to Q2 . Q2 = 0 if the observation does not belong to Q2 (Q1 or Q3).Q3 = 1 if the observation belongs to Q3. Q3 = 0 if the observation does not belong to Q3 (Q1 or Q2). Now, we can include these dummy variables in the regression equation to capture the seasonal effects: Y = β₀ + β₁X + β₂Q1 + β₃Q2 + β₄Q3 + ε Here, β₀ represents the intercept, β₁ represents the coefficient of the independent variable X, β₂ represents the coefficient of Q1, β₃ represents the coefficient of Q2, and β₄ represents the coefficient of Q3. ε is the error term that accounts for any unexplained variation in the model.

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The value of x from the given expression is 5 and the property used are addition and division property

Given the equation below

2x - 30 = -20

Add 30 to both sides (Addition property)

2x - 30 + 30 = -20 + 30

2x = -20 + 30

2x = 10

Divide both sides by 2

2x/2 = 10/2

x = 5

Hence the value of x from the given expression is 5 and the property used are addition and division property

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f(n) = 8.3 + 2.1(n−1) function models the nth term of the sequence 8.3, 10.4, 12.5, 14.6.

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given,

The sequence below shows a certain company's expected net worth in millions of dollars after 1, 2, 3, 4 years, etc....

8.3, 10.4, 12.5, 14.6,...

The given sequence is a arithmetic sequence.

The first term is 8.3

The common difference is 2.1

The nth term of arithmetic sequence aₙ=a+(n-1)d

the nth term of this sequence=8.3+(n-1)2.1

f(n)=8.3+(n-1)2.1

Hence, f(n) = 8.3 + 2.1(n−1) function models the nth term of the sequence 8.3, 10.4, 12.5, 14.6.

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Suppose a juice box contains 30% juice with the remaining portion of the drink composed of water alcohol is the solute in this type of juice box.

Ethanol; Ethanol, a drab liquid with a pleasing scent this is produced evidently from fermentation through yeasts and different microorganisms. It is utilized in alcoholic beverages, as a solvent, and withinside the manufacture of different chemicals. Ethanol is a fairly poisonous and colorless compound.

Alcohol is the solute in this type of juice box is the solvent as alcohol is easily soluble as the solvent and has best property of a solute and csn pass through the semipermeable permeability and others solvent also. The alcohol is actually acting as the solute here to dissolve the solvent.

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Answer: Thats what the graph would look like hope this helps :)

Step-by-step explanation:

Answer:

see graph.

\(\leq\) and \(\geq\) are solid lines

< and > are dotted lines

graph inequalities same as regular equations

< shade below

> shade above

The number of regular sodas served is 12.

Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign that is used to represent percentage is %. Percentage is a measure of frequency.

Number of regular sodas served = percentage of regular sodas served x number of sodas served

= 25% x 48

= 25/100 x 48 = 12

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Answer:

62

Step-by-step explanation:

16 x 1/2 = 32

4 x 8 = 32

32 + 32 - 2

64 - 2

62

Answer:D

Step-by-step explanation:

Answer:

  75.36 in²

Step-by-step explanation:

The surface area of a cylinder can be found from the formula ...

  A = 2πr(r +h) . . . . . where r is the radius and h is the height

__

Using the given dimensions, we find the area to be ...

  A = 2(3.14)(2 in)(2 in + 4 in) = 75.36 in²

The surface area of the cylinder is about 75.36 square inches.

Answer:445.05 commission is for the first question

Step-by-step explanation:7.5% to the sending question. I will only give half ok hope I helped

SORRY MY ANSWER WAS WRONG I HAD TO DELETE AND WRITE THIS INSTEAD PLEASE REMOVE MY POINTS

Answer:

Step-by-step explanation:

A triangle adds up to 180 degrees. Thus the answer to this question is

90°, 45°, and 45°.

90°+45°+45° = 180°

Answer:

90°, 45°, and 45°

Step-by-step explanation:

pls tell me if wrong have a good day/night<3

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

Specificity and memory are two crucial properties that determine adaptive immunity. Both specificity and memory pertain to the adaptive immune system's capacity to recognize and attack certain diseases, as well as to promptly react to pathogens to which it has already been exposed.

Adaptive immunity can offer an enduring defense, perhaps for the duration of a person's lifespan. In certain circumstances, such as with chickenpox, it does not confer permanent protection; for instance, a person who recovers from measles is now protected against measles for the rest of their life.

Specificity, diversity, specialization, memory, and self/non-self identification are the immunologic characteristics that define adaptive immunity, and these cells both create and show antigen-binding cell surface receptors.

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

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Distance travelled by tip of the minute hand of a clock as per the given length of minute hand and time 12 to 8 o'clock  is equal to ( 40/3)π.

As given in the question,

Length of the minute hand of a clock 'r' is equal to 10 inches

Minute hand of a clock moves from 12 to 8 o'clock

Central angle made by minute hand of a clock from 12 to 8 o'clock

= (8 /12) × 360°

= 240°

Distance travelled by tip of the minute hand of a clock is same as the arc length of a clock

= (central angle / 360°) × circumference

= (240° /360°) × 2π (10)

= 40π/3 inches.

Therefore, distance travelled by tip of the minute hand of a clock as per the given length of minute hand and time 12 to 8 o'clock  is equal to

(40/3)π.

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The sets that are equal are A = {1, 2, 3} and B = {2, 1, 3}

The order of elements does not matter when determining the equality of sets. Both sets A and B contain the same elements, namely 1, 2, and 3, even though their order is different. Therefore, we can say that A and B are equal sets.

The other sets mentioned, A = {1, 2} and B = {1}, A = {1, 2, 4} and B = {1, 2, 3}, and A = {1, 2} and B = {1, 2, 3}, are not equal because they have different elements. In the first case, set A has two elements, while set B has only one element.

In the second case, set A contains the element 4, which is not present in set B.

In the third case, set A has two elements, while set B has three elements, including the element 3, which is not present in set A.

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Answer:

3.142 and 22/7

Step-by-step explanation:

thats its

The domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

The graph represents the given parameters

On the graph, we have the following endpoints

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

The domain

The definition of the domain implies that the domain of a function is the set of x values of the graph.

Recall that

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the maximum

Closed circle at (-2, -1)

Open circle at (-5, -2)

Remove the y coordinates

So, we have

Closed circle at (-2)

Open circle at (-5)

Combine the x values

-2 ≤ x < -5

The range

The definition of the range implies that the range of a function is the set of y values of the graph.

Recall that

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the smaller larger y value of the endpoints)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the x coordinates

So, we have

Open circle at (-2)

Maximum = (1)

Combine the y values

-2 < y < 1

Hence, the domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1

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The expanded form of 500,000 is (5*100,000) + (0*10,000) + (0*1,000) + (0*100) + (0*10) + (0*1), which on simplifying can be written as (5*100,000).

In math, the expanded form enables us to comprehend a number more clearly. Take the number 875294831 as an example. This amount is impossible to comprehend. Here, an expanded form enables us to comprehend each numeral according to its place value. Let's try to determine the extended form of the straightforward number 423. The expanded form of 423 is (4*100) + (2*10) + (3*1). It denotes that there are 4 hundred, 2 tens, and 3 ones in this number. Through its expanded form, a number's meaning for each digit is clearly understood.

In the question, we are asked to write the expanded form of 500,000.

Similar to our example, we can write the expanded form of 500,000 as

(5*100,000) + (0*10,000) + (0*1,000) + (0*100) + (0*10) + (0*1),

which when simplified can be shown as (5*100,000).

Thus, the expanded form of 500,000 is (5*100,000) + (0*10,000) + (0*1,000) + (0*100) + (0*10) + (0*1), which on simplifying can be written as (5*100,000).

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Answer:

4). \( x^{3} +5x+18 \)

Step-by-step explanation:

The binomial (x+2) is a factor of \( x^{3} +5x+18. \)

Since, (x + 2) is a factor.

So, x = - 2 is a root

Plug x = - 2 in \( x^{3} +5x+18 \)

We find:

\( x^{3} +5x+18 \)

\( =(-2)^{3} +5(-2)+18 \)

\( =-8 - 10+18 \)

\( = - 18+18 \)

\( = 0 \)

Since, at x = - 2 the value of the expression \( x^{3} +5x+18 \) becomes zero.

Therefore, (x + 2) is a factor of \( x^{3} +5x+18 \)