Chiamaka is 149 km from the university and drives 95 km closer every hour. Valente is 170 km from the university and drives 110 km closer every hour. Let t represent the time, in hours, since Chiamaka and Valente started driving toward the university. Complete the inequality to represent the times when Valente is closer than Chiamaka to the university

Answer:

Step-by-step explanation:

Just multiply what the equation equalds by the divosor

Answer:

1. 2587.3

2. 25873

3.25873000

4. 258730000

Step-by-step explanation:

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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The worst-case time complexity of finding an element in a sorted std::list if the restriction of O(1) additional memory is removed is O(n).

In the worst-case scenario, finding an element in a sorted std::list requires iterating through each element until the desired element is found. Therefore, the time complexity would be proportional to the size of the list, which is O(n). Removing the restriction of O(1) additional memory means that binary search, which has a time complexity of O(log n) but requires O(n) additional memory, cannot be used. Thus, linear search becomes the only option, which has a time complexity of O(n).

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Probit coefficients are typically estimated using:

A. the method of maximum likelihood.

The method of maximum likelihood is used to estimate the probit coefficients. This method aims to find the coefficients that maximize the likelihood of observing the given sample data. It involves an iterative process to identify the most likely parameter values for the model, making it suitable for nonlinear models like the probit model. Maximum likelihood estimation is a widely used method in econometric analysis due to its desirable properties, such as consistency and asymptotic efficiency.

In summary, probit coefficients are estimated using the method of maximum likelihood, which provides the most accurate and efficient estimates for this type of model.

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The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.

Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:

P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3

Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.

In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).

We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.

The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.

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Step-by-step explanation:

-5y=35

=35÷(-5)

= -7

=-5×-7

=35

Answer:20

Step-by-step explanation:

The solution to the system of equation y = x + 12 and y = (1/2)x is (-24,-12).

Given the system of equation in the question;

y = x + 12

y = (1/2)x

To solve the system of equation, first plug equation to into equation one and solve for x.

y = x + 12

Plug in y = (1/2)x

(1/2)x = x + 12

Multiply each term by 2

2(1/2)x = 2x + 2(12)

x = 2x + 24

x - 2x = 2x - 2x + 24

x - 2x = 24

-x = 24

x = -24

Now, plug x = -24 into equation two and solve for y.

y = (1/2)x

Plug in x = -24

y = (1/2)( -24 )

y = -24/2

y = -12

Therefore, the value of x is -24 and y is -12.

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Answer:

Step-by-step explanation:

Given that:

The population mean \(\mu\) = 30

The sample size n = 200

The sample-mean \(\overline x\) = 27.5

The sample standard deviation s = 18.9

The level of significance ∝ = 0.05

The null hypothesis and the alternative hypothesis can be written as:

\(H_o:\mu \ge 30 \\ \\ H_1: \mu < 30\)

Since the alternative hypothesis indicates < sign, then this test is left-tailed

The  t-test statistics is:

\(t =\dfrac{\overline x - \mu }{\dfrac{s}{\sqrt{n}}}\)

\(t =\dfrac{27.5 -30 }{\dfrac{18.9}{\sqrt{200}}}\)

\(t =\dfrac{-2.5}{\dfrac{18.9}{14.142}}\)

t = -1.871

The p-value = P(t< -1.871)

From the standard normal t tables

The p-value = 0.0314

Thus, since the p-value is less than the level of significance ∝ = 0.05, then we reject the null hypothesis.

Answer:

Yes, since there are no other values in the bracket, the squared is only targeting -2. (Brainiest?)

Step-by-step explanation:

:)

The total amount spent buying ham and cheese is $187.20

What is the total cost of each item?

The total cost of each item can be determined as the price multiplied by the quantity bought

quantity of ham bought=x+4

quantity of cheese bought=x-3

price per pound of ham=$6.24

price per pound of cheese=$4.80

total amount spent on ham=(x+4)*6.24

total amount spent on ham=6.24x+24.96

total amount spent on cheese=(x-3)*4.80

total amount spent on cheese=4.80x-14.40

If the individual spent twice on as much on ham than cheese, it means that amount on ham is equals twice of the one spent on cheese

6.24x+24.96=2(4.80x-14.40)

6.24x+24.96=9.60x-28.80

24.96+28.80=9.60x-6.24x

53.76=3.36x

x=53.76/3.36

x=16

total amount spent=6.24x+24.96+4.80x-14.40

total amount spent=6.24(16)+24.96+4.80(16)-14.40

total amount spent=$187.20

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Answer:

x = 21

Step-by-step explanation:

Answer:

1/3×-6=1

1/3x=1+6

1/3×=7

1/3.3×=7.3

x=21....X is solved

Given the coordinates above, the area of the trapezoid is approximately 41. See the explanation below.

A trapezoid is a quadrilateral with at least one set of parallel sides in American and Canadian English. A trapezoid is known as a trapezium in British and other varieties of English.

For the calculation showing the above solution:

Step 1 - Given:

A = (-3,2)

B = (1, 5)  = ⊥

C = (-7, -3)

D = (0.-2)

Step 2 - To get the distance between the points we need to use the formula for Distance between two points which is given as:

d=√((x2 – x1)² + (y2 – y1)²).

Distance of Line AB =

√((1 – (-3))² + (5 – 2)²).

= √[(4)² + (3)²]

= √( 16 + 9)
= √25

AB= 5

Repeat this for  BC, CD, DA and we'd get the following

BC =  11.313708498985
CD = 7.0710678118655

DA = 5

Step 3  - From the above structure, [see attached] we then apply the formula for the area of a Trapezoid (Trapezium) which is given as:

A = [(a+b)/2] h

Where a = 5

b = 11.313708498985

h = 5

=  [(5+11.313708498985)/2] 5

= 40.7842712475

\(\approx\) 41

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Answer:

Step-by-step explanation:

1.3

If the columns of matrix B are linearly dependent, then the columns of AB are also linearly dependent.

Suppose the columns of matrix B are linearly dependent, which means there exist constants c₁, c₂, ..., cₙ (not all zero) such that c₁b₁ + c₂b₂ + ... + cₙbₙ = 0, where b₁, b₂, ..., bₙ are the columns of B.

Now, let's consider the product AB. Suppose A is an m × n matrix.

The jth column of AB is given by the product AB(:, j) = A(b₁j) + A(b₂j) + ... + A(bₙj), where b₁j, b₂j, ..., bₙj are the jth columns of B.

Substituting the linear dependence relation for the columns of B into the expression for AB(:, j), we get:

AB(:, j) = A(c₁b₁ + c₂b₂ + ... + cₙbₙ)

         = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

Since matrix multiplication distributes over column vectors, we have:

AB(:, j) = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

This shows that the jth column of AB can be expressed as a linear combination of the columns of A, multiplied by the corresponding coefficients c₁, c₂, ..., cₙ. Therefore, if the columns of B are linearly dependent, the columns of AB are also linearly dependent.

In conclusion, if the columns of matrix B are linearly dependent, then so are the columns of the product AB.

Complete Question:

Show that if the columns of B are linearly dependent, then so are the columns of AB.

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The angle m∠1 is derived as 55° using the angle between intersecting tangents.

The angle between two tangent lines which intersect at a point is 180 degrees minus the measure of the arc between the two points of tangency.

m∠1 = 180° - arc angle

m∠1 = 180° - 125°

m∠1 = 55°

Therefore, using the angle between the intersecting tangents, the angle m∠1 is equal to 55°.

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The interest paid if you purchase this car is $4,860.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

The interest rate used can be found using the formula: Interest rate = (monthly payment x number of payments) / principal.

Interest rate = (450 x 36) / 10000 = 16.2%

The interest rate used is 16.2%

The interest paid can be calculated using the formula: Interest = Principal x Interest rate x Number of payments / 12

Interest = 10000 x 0.162 x 36/12

Apply the multiplication operation, and we get

Interest = 4,860

Thus, the interest paid if you buy this car is $4,860

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Answer:

iniciações, tradições, história, valores e princípios, propósito, símbolos e limites.

Step-by-step explanation:

Brainliest PLSSS

Answer:

(4x-3)(x+2)

Step-by-step explanation:

i hope it will help you

Based on the left-tailed z test with a test statistic of z = -1.99 at a 5% level of significance, the correct decision would be to reject the null hypothesis.

In hypothesis testing, the level of significance (alpha) determines the threshold for rejecting the null hypothesis. A left-tailed test is used when the alternative hypothesis suggests a decrease or a difference in a specific direction.

At a 5% level of significance, the critical value for a left-tailed test is -1.645. Since the calculated test statistic, z = -1.99, is more extreme (i.e., smaller) than the critical value, we have sufficient evidence to reject the null hypothesis. The test statistic falls in the rejection region, indicating that the observed data is unlikely to occur under the assumption of the null hypothesis.

Therefore, based on the given information, the correct decision would be to reject the null hypothesis.

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Answer:

avarage will be=85

Step-by-step explanation:

The logarithmic equation 2log4 - log3 + 2logx - 4 = 0 can be solved by rewriting the equation using logarithmic properties and then solving for x. The exact value of x depends on the logarithmic base used.

To solve the logarithmic equation 2log4 - log3 + 2logx - 4 = 0, we can start by applying logarithmic properties. Using the properties

log(a) - log(b) = log(a/b) and log(a^b) = b log(a), we can rewrite the equation as log(4^2) - log(3) + log(x^2) - log(10,000) = 0.

Simplifying further, we have 2 log(16) - log(3) + 2 log(x) - 4 = 0.

Next, we can combine the logarithmic terms using the property

log(a) + log(b) = log(a * b). This gives us log(16^2 * x^2 / 3) - 4 = 0. Simplifying the logarithm, we have log(256x^2/3) - 4 = 0.

To isolate the logarithm, we can apply the property a = b implies 10^a = 10^b. In this case,

10^(log(256x^2/3) - 4) = 10^0. This simplifies to 256x^2/3 = 10^4.

Finally, we solve for x by rearranging the equation. Multiplying both sides by 3/256, we get x^2 = (3/256) * 10^4. Taking the square root of both sides, we have x = ±√(3/256) * 10^2. Thus, the exact value of x depends on the logarithmic base used, but this provides the general form of the solution.

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Answer:2, 1, (in place of x) and y2

Step-by-step explanation: Divide your base numbers, which are 18 and 9, so you get 2. Then because you're dividing with exponents you are just subtracting them. So x 2-2 (Imagine these as exponents) so you'd get x0. Next you'd do the same with y so you'd end up with y2. Because your exponent is 0 on x it equals one.

Answer:

x = 63/4  or 15 3/4

Step-by-step explanation:

4(x-11)=19

Distribute

4x -44 =  19

Add 44 to each side

4x-44+44 = 19+44

4x = 63

Divide by 4

4x/4 = 63/4

x =15 3/4

Answer:

\(\huge\boxed{Answer\hookleftarrow}\)

\(4(x - 11) = 19 \\ 4x - 44 = 19 \\ 4x = 19 + 44 \\ 4x = 63 \\ x = \frac{63}{4} \\ x = 15.75\)

✐ The value of x is 63/4 (in fraction form) OR 15.75 (in decimal form).

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