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Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

the answer is 3x^2 + 22x + 7

Step-by-step explanation:

Expand the polynomial using the FOIL method.

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Answer:

3x^2+22x+7

Step-by-step explanation:

Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.

This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).

In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.

Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

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Answer:

m = 4

Step-by-step explanation:

solve for m 3+5m = 8m-9

3+5m = 8m-9

  -5m   -5m

3 = 3m-9

+9       +9

12 = 3m

/3    /3

4 = m

m = 4

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

(a) Mean = 55.9

(b) Median = 59

(c) Mode = No mode

(d) Midrange = 93

Step-by-step explanation:

(a) Mean

The formula for finding mean of an ungrouped data = Σx/n

Where

Σ is the sum of all the data

n is the number of data in the set

Therefore,

Σx=615

n = 11

Mean = 615/11

=55.9

(b) Median

Median is the middle number after arranging the set of data in either ascending or descending order.

By arranging the numbers, the middle is 59 which is the Median

(c) mode

Mode is the number that occurs most in a set of data.

From the given set of numbers, all the numbers appear once. Therefore, there is no mode

(d) Midrange

This is the difference between the biggest and the smallest number in a set of data.

Therefore,

the midrange = 97-4

=93

The value of the number is x = 34.

Let's break down the problem and solve it step by step.

1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.

2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).

According to the problem statement, the two expressions are equal. We can set up the equation as follows:

2x - 5 = 3 * (x/2 + 4)

Now, let's solve the equation:

2x - 5 = 3 * (x/2 + 4)

Distribute the 3 to both terms inside the parentheses:

2x - 5 = (3/2)x + 12

Multiply through by 2 to eliminate the fraction:

2(2x - 5) = 2((3/2)x + 12)

4x - 10 = 3x + 24

Next, let's isolate the x term by moving the constant terms to the other side of the equation:

4x - 3x = 24 + 10

Simplify:

x = 34

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Answer:

-4 1/26

Step-by-step explanation:

The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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Answer:

8p+5w=569. And I would assume it would be p=85-w. Comment if you need an explanation.

Step-by-step explanation:

Regression analysis is mostly used when you want to predict a continuous dependent variable from a several number of independent variables. If the dependent variable is dichotomous, then logistic regression can be used.

If the break between the two levels of the dependent variable is nearly to 50-50%, then we can use both logistic and linear regression will end up giving you similar results.

If you have inserted the data (rather than using an established dataset), it is a nice idea to check the accuracy and the consistence of the data entry.

If you do not want to re-check all the data point, you should at least check the minimum and maximum value for all the variable to ensure that all values for each variable are "valid" or not.

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Path A-B-C-E represents the distance traveled, which is 18 meters.

Path A-G-C-E represents the displacement, which is 17 meters.

From the given figure, we can identify the paths and calculate the distance and displacement.

Path A-B-C-E represents the distance traveled, and path A-G-C-E represents the displacement.

Let's calculate the lengths of both paths:

Distance traveled (Path A-B-C-E):

Length of AB = 9m

Length of BC = 3m

Length of CE = 6m

Total distance traveled = Length of AB + Length of BC + Length of CE

= 9m + 3m + 6m

= 18m

Therefore, the distance traveled along path A-B-C-E is 18 meters.

Displacement (Path A-G-C-E):

Length of AG = 5m

Length of GC = 6m

Length of CE = 6m

Total displacement = Length of AG + Length of GC + Length of CE

= 5m + 6m + 6m

= 17m

Therefore, the displacement along path A-G-C-E is 17 meters.

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Step-by-step explanation:

divide them by using long polynomial division.

d

Answer:

I think it is D

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

When you have 2 negative together they will become a positive (5- (-2) = 7)

Answer:

True

Two neg. make a pos.

-24-(-6) would become -24+6=-18

Theoretical Probability of rolling a 2= 1/20

Experimental Probability of rolling a 2 =  1/20

Theoretical probability of rolling a 2:

The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:

Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20

Experimental probability of rolling a 2:

The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the  event is rolling a 2, which occurred 200 times out of 4000 rolls.    

Therefore, the experimental probability of rolling a 2 is:

Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20

Comparing theoretical and experimental probability:

If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.

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Answer:

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Step-by-step explanation:

The line in the question passes through origin and (4,-12).

The rate of change of the line is

\(m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3\)

The rate of change of the line or slope of the line is -3

Equation of the line is given by

\((y-0)=-3(x-0)\\\Rightarrow y=-3x\)

This means that the relationship is linear.

If we take any value of x then there will be only one value of y this means that the relationship is proportional.

So the following statements are true

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Answer:

Step-by-step explanation:

Proportional

Linear

Equation of line is y=-3x

Answer:

-59

Step-by-step explanation:

x+41=-18

x= -18-41

x = -59

Answer:

102

Step-by-step explanation:

If he read 17 pages in one hour and spent 6 hours reading then you have to do 17 times 6 which is 102.

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

The motorist's rate is:

rate = distance / time

where distance is measured in kilometers and time is measured in hours.

We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:

rate = distance / time = 228 km / 6 hours = 38 km/hour

To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:

time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours

Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.

Answer:

30 degrees

Step-by-step explanation:

53+97=150

180-150=30

Answer:

the answer is -4 because the Y values are going down 4 at a time.

Answer:

16

Step-by-step explanation:

Given the equation, \( 200 + 10x = 120 + 15x \), let's solve for x as follows,

Subtract 200 from both sides

\( 200 + 10x - 200 = 120 + 15x - 200 \)

\( 10x = - 80 + 15x \)

Subtract 15x from both sides

\( 10x - 15x = - 80 + 15x - 15x \)

\( -5x = - 80 \)

Divide both sides by -5

\( \frac{-5x}{-5} = \frac{-80}{5} \)

\( x = 16 \)

Answer:

a)\(-\frac{1}{12}\)

d)\(-\frac{1}{8}\)

Step-by-step explanation:

a) Find a common denominator. 12 (3 × 4 = 12)

Convert the fractions to have a denominator of 12.

\(\frac{2}{3}\) → \(\frac{8}{12}\)

\(\frac{3}{4}\) → \(\frac{9}{12}\)

\(\frac{8}{12}\)- \(\frac{9}{12}\) = \(-\frac{1}{12}\)

d) Find a common denominator. 8 (4 × 2 = 8; 8 × 1 = 8)

Convert the fractions to have a denominator of 8.

\(\frac{3}{4}\) → \(\frac{6}{8}\)

\(\frac{5}{8}\) → \(\frac{5}{8}\)

- \(\frac{6}{8}\) - (-\(\frac{5}{8}\))=?

Remember, 2 subtractions signs cancel each other out.

- \(\frac{6}{8}\) + \(\frac{5}{8}\) = \(-\frac{1}{8}\)