4
7
11
13
A
B
с
D
Given this number line, DB = [?]

The amount of money more in the account of Charlotte after 19 years than the money in account of Alyssa is, $13035.13

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Charlotte invested $33,000 in an account paying an interest rate of 7 3/4% compounded continuously for 19 years. The rate of interest is,

\(r=7\dfrac{3}{4}\\r=\dfrac{31}{4}\\r=7.75\)

Thus, the final amount in his account after 19 years is,

\(A=33000\times\left(1+\dfrac{7.75}{360\times100}\right)^{360(19)}\\A=143861.22\)

Alyssa invested $33,000 in an account paying an interest rate of 7 1/4% compounded daily. The rate of interest is,

\(r=7\dfrac{1}{4}\\r=\dfrac{29}{4}\\r=7.25\)

Thus, the final amount in her account after 19 years is,

\(A=33000\times\left(1+\dfrac{7.75}{360\times100}\right)^{360(19)}\\A=130826.09\)

The more money would Charlotte have in her account than Alyssa is,

\(D=143861.22-130826.09\\D=13035.13\)

Thus, the amount of money more in the account of Charlotte after 19 years than the money in account of Alyssa is, $13035.13

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Answer:

x27 + y.

Step-by-step explanation:

Binomial means having 2 terms so binomial of degree 27 is x^27 + y type.

For example,

x^27+y+2

If there are 2 degree terms of x, degree of the one having highest degree is taken.

For example,

In x^27+x^10

As highest degree is 27, this is a binomial of degree 27.

Function is continuous everywhere expect x = 6 and  x = -6

What does a math interval mean?

In mathematics, an interval is quantified in terms of numbers. The range of numbers between any two specific numbers is known as the interval.

                         Every real number between those two values is included in this range. All kinds of numbers, including imaginary ones, are real numbers.

The function will not be continuous if the denominator becomes zero .

   f(x)  =  x+6/(x² - 36 )

to become denominator zero -

      x² - 36  = 0

    (x + 6) ( x - 6 ) =0

    x = 6  or   x = -6

so at x = 6 and x = -6 the function is not continuous .

  the interval for continuity is -

      = ( -∞ , - 6), ( -6 , 6) , ( 6, ∞ )

  In other words function is continuous everywhere expect x = 6 and

x = -6

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the compound comparison "2 > 3 or 3 < 4" is True.

The compound comparison "2 > 3 or 3 < 4" evaluates to True. The comparison "2 > 3" is False because 2 is not greater than 3. However, the comparison "3 < 4" is True because 3 is less than 4. In a compound comparison with the "or" operator, if at least one of the individual comparisons is True, then the whole compound comparison is considered True.

In this case, the second comparison "3 < 4" is True, which means that the compound comparison "2 > 3 or 3 < 4" is also True.

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The length of vector (a + b) is solved using the parallelogram method to be 9.9

The formula for the resultant using the parallelogram method is

(a + b) = √(a² + b² + 2ab cos Ф)

Plotting the vectors shows that

a = 5.8

b = 4.1

Ф = 163 degrees

plugging in the values

(a + b) = √(5.8² + 4.1² - 2 * 5.8 * 4.1 * cos 163)

(a + b) = √(50.45 - 47.56 * cos 163)

(a + b) = √(98.01)

(a + b) = 9.9

The magnitude of (a + b) = 9.9

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Answer:

B

Step-by-step explanation:

It has two or more terms.

Answer:

36h + 75 < 1200

solve:

36h + 75 = 1200

36h = 1125

h = 1125 divided by 36 = 31.25.

Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200

Answer:

Step-by-step explanation:

Scalene (no equal side): 4th triangle

Isosceles (two equal sides): 1st, 2nd, and 4th triangle

Equilateral (all equal sides): 3rd triangle

Hope this helps!

We want to solve the following inequality:

11.22x - 200 < 347.96

In order to solve these type of expressions, we just have to "leave alone" the x on one side of the inequality (left side in this case).

In order to do that, we must remember two simple rules:

We want to take to the right side the -200 and 11.22.

Step 1: taking -200 to the right side

11.22x - 200 < 347.96

↓ adding 200 both sides

11.22x - 200 + 200 < 347.96 + 200

↓ left: since 11.22x - 200 + 200 = 11.22x

11.22x < 347.96 + 200

↓ right: since 347.96 + 200 = 547.96

11.22x < 547.96

Step 2: taking 11.22 to the right side

11.22x < 547.96

↓ dividing 11.22 both sides

11.22x/11.22 < 547.96/11.22

↓ left: since 11.22x/11.22 = x

x < 547.96/11.22

↓ right: since 547.96/11.22 = 48.8377

x < 48.8377

We want to round it to the nearest hundredth (number with two digits after the decimal point).

Since 48.8377 is nearer to 48.8400 than to 48.8300

then

48.8377 ≅ 48.8400 = 48.84

Answer: A. 48.84

The occurrence of cancer was identified between april 1991 and july 2002 for 50,000 troops who served in the first gulf war (ended april 1991) and 50,000 troops who served elsewhere during the same period is observational study. subjects were children enrolled in a health maintenance organization is Randomized Controlled Trial.

In study A, two groups were identified based on their service during the Gulf War and elsewhere during the same period, and the occurrence of cancer was identified between April 1991 and July 2002. This study is an observational study, as the researchers did not assign any interventions or treatments to the participants, but rather just observed and collected data on the outcome of interest (cancer) in the two groups.

In study B, children enrolled in a health maintenance organization were randomly assigned to one of two types of a new vaccine against rotavirus infection. This study is a randomized controlled trial, as the researchers randomly assigned the intervention (vaccine type) to the participants and then observed the effect on the outcome of interest (rotavirus infection).

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Answer

Part A : 16

Part B

Daves Prism is 60 cubic inches in volume while olgas is 16

60-16= 44

The correct answer would be: 4.6 x 10^5

Answer:

Each friend would have 4 apples

Step-by-step explanation:

If there are 8 apples and two friends to split between them, then this example could be set up as an equation: 8/2=?

Im going to use # as place holders

here are our 8 apples:

# # # # # # # # --- 8

If we split them evenly into two groups:

# # # # --- 4

# # # # --- 4

Each group had 4 apples each, so our answer to our equation 8/2=? would be 4.

In this scenario, where we have a sample of 32 kids and we are interested in the mean time on the internet, the most appropriate distribution to use is the t-distribution.

The t-distribution is used when the population standard deviation is unknown and needs to be estimated from the sample.

Since we have a sample size of 32, which is larger than 30, we can assume that the sample distribution will closely approximate the normal distribution. However, due to the unknown population standard deviation, it is still recommended to use the t-distribution to account for any potential variability in the population.

Using the t-distribution allows us to calculate confidence intervals and perform hypothesis tests based on the sample mean and standard deviation.

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Answer:

THATS ONLY 35 points

Step-by-step explanation:

Answer:

its only 35 points but that's ok we all make mistakes

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation: the answer is always 7 dawg, YURRRRR

Answer:

name the two things they hoped to achieve when they moved into the interior

Answer:

\(x + \frac{5}{8} = \frac{7}{6} \)

\( x = \frac{7}{6} - \frac{5}{8} \)

\(x = \frac{13}{24} \)

Answer:

x=13/24

Step-by-step explanation:

First subtract 5/8 from both sides

5/8 - 5/8 = 0

7/6-5/8= 13/24

So x=13/24

Using mean and outlier concepts, it is found that:

--------------------------

--------------------------

Thus, the mean is:

\(M = \frac{80 + 92 + 91 + 75 + 89 + 84 + 0 + 85}{8} = 74.5\)

Brandee's mean was of 74.5, which doesn't really represent her abilities, as in 7 of the 8 tests she got higher grades than this, but her mean is really affected by the outlier grade of 0%, for the test she missed.

--------------------------

\(M = \frac{80 + 92 + 91 + 75 + 89 + 84 + 90 + 85}{8} = 85.75\)

Brandee's new mean will be of 85.75, which increases her final grade by 11.25 points, and is a more accurate representation of her abilities, as there is not an outlier grade.

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Answer:

If you multiply two negative integers... the product will be positive

For example: -4 * -5 = 20

Answer: positive

Step-by-step explanation: The reason why is because of the rule of multiplying integers.

Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.

In this scenario, there are four people in a room. Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.

The remaining person is a foreign agent who has chosen a pair randomly. Thus, if any two of the three people with the valid pairs collaborate, they can successfully uncover the secret, as per the properties of the Shamir secret sharing scheme.

The presence of the foreign agent does not affect the security of the scheme unless they collaborate with another person possessing a valid pair.

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Answer:

17/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard deviation of the number of red balls chosen, x, is 1.2.

In probability theory, the standard deviation is a measure of the amount of variation or dispersion in a set of values. It helps us understand how spread out the values are from the mean. In this scenario, we have an urn containing blue and red balls, and we are randomly selecting 6 balls without replacement. We want to determine the standard deviation of the number of red balls chosen, denoted by x.

To find the standard deviation of x, we need to calculate the variance first. The variance represents the average of the squared differences between each value and the mean. The standard deviation is then the square root of the variance.

Step 1: Finding the probability of selecting a red ball

In the given urn, there are a total of 6 blue balls and 4 red balls. To determine the probability of selecting a red ball, we divide the number of red balls by the total number of balls:

P(red) = 4 / (6 + 4)

          = 0.4

Step 2: Calculating the mean of x

The mean of x, denoted as μx, represents the expected value or average number of red balls chosen. Since the probability of selecting a red ball is 0.4, we can calculate the mean as follows:

μₓ = (Number of trials) × P(red)

   = 6 × 0.4

   = 2.4

Step 3: Determining the variance of x

The variance, denoted as Var(x), is calculated by finding the average of the squared differences between each value of x and the mean:

Var(x) = (Number of trials) × P(red) × P(blue)

          = 6 × 0.4 × 0.6

          = 1.44

Step 4: Finding the standard deviation of x

Finally, the standard deviation, denoted as σx, is the square root of the variance:

σₓ = √Var(x)

    = √1.44

    = 1.2

Therefore, the standard deviation of the number of red balls chosen, x, is 1.2.

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Answer:

32+160

Step-by-step explanation:

Answer:

Because it will take a lot of time to do

If the null hypothesis is not rejected, we cannot conclude that there is a significant difference between the two time periods.

Assuming that the question is "Has real gross domestic product per capita significantly increased between 1988 and 1990?" We can use a paired-sample t-test to answer this question.

Here are the steps to conduct the paired-sample t-test:

Null hypothesis: The mean difference between the real gross domestic product per capita in 1988 and 1990 is zero. In other words, there is no significant difference between the two time periods.

Alternative hypothesis: The mean difference between the real gross domestic product per capita in 1988 and 1990 is not zero. In other words, there is a significant difference between the two time periods.

Determine the level of significance, alpha (α). Let's assume α = 0.05.

Calculate the difference between the two time periods (1990 - 1988) for each observation.

Calculate the mean and standard deviation of the differences.

Calculate the standard error of the mean difference (SEd) by dividing the standard deviation of the differences by the square root of the sample size.

Calculate the t-statistic by dividing the mean difference by the SEd.

Calculate the degrees of freedom (df) using the formula: df = n - 1, where n is the sample size.

Determine the critical t-value from the t-distribution table with df = n - 1 and α = 0.05.

Compare the calculated t-value with the critical t-value. If the calculated t-value is greater than the critical t-value, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

Interpret the results. If we reject the null hypothesis, we can conclude that there is a significant difference between the two time periods, and the direction of the difference can be determined by the sign of the mean difference.

Note: In order to conduct the paired-sample t-test, we need to assume that the differences are normally distributed and the variances of the two populations are equal.

After conducting the test, we can conclude whether there is a significant difference in real gross domestic product per capita between 1988 and 1990. If the null hypothesis is rejected, we can conclude that there is a significant difference between the two time periods. If the null hypothesis is not rejected, we cannot conclude that there is a significant difference between the two time periods.

Complete question: Two of the variables in this file ( rgdpch and rgdp88) measure real Gross Domestic Product (GDP) per capita in 1990 and 1988. Please conduct the appropriate t-test to answer the following question:

Is there statistically significant evidence that per capita GDP in 1988 is different from that of 1990? Please show your results and reasoning to justify your answer.

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1.  If Henry sells 3 computers in a day, he will earn $140.

2. Henry's earnings for selling 10 computers in a day would be $315.

To find Henry's daily earnings for selling 3 computers, we need to substitute x = 3 in the given function:

p(3) = 65 + 25(3)

p(3) = 65 + 75

p(3) = 140

Therefore, if Henry sells 3 computers in a day, he will earn $140.

Similarly, we can find his earnings for selling 4, 5, 6, 7, 8, 9, and 10 computers per day by substituting the respective values of x in the given function.

Number of computers sold (x) Earnings (p(x))

3 140

4 165

5 190

6 215

7 240

8 265

9 290

10 315

Thus, Henry's earnings for selling 10 computers in a day would be $315.

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Answer:

it is 9

Step-by-step explanation:

The value of WZ will be equal to WZ= 9 inches so the correct option is B.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

We have: U is the midpoint of TR, V is the midpoint of TS and W is the midpoint of SR

This means that.Z is the centroid of the given triangle centroid point divides any median in the triangle in the ratio of 2:1 from the vertex

This means that:

TZ = 2ZW

3x = 2(2x-3)

3x = 4x - 6

x = 6

Now, we get WZ as follows:

WZ = 2x - 3 and x = 6

WZ = 2(6) - 3

WZ = 12 - 3

WZ = 9 in

Therefore the value of WZ will be equal to WZ= 9 inches so the correct option is B.

The complete image of the triangle is attached with the answer below.

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