1/18
In decimal equivalent rationam number

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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Answer:

Nobody ever said having faith would be easy, but it will be worth it and here is why.

He knows better than we do. God knows everything we are going through at this very moment and everything we will go through in the future. ...

All Things Are Possible With God.

He Is Worthy Of Our Trust.

He Knows What He Is Doing.

He is the creator of the universe

he exited before the heavens and earth

He is our father and the father of our ancestors

He has performed many miracles

He is the God who answers all prayers if you believe.

He is the one who stands by you in any situation, in good times and bad

He is a merciful, understandable and dependable God

What he says he'll do, that is what he'll do

Answer:

Step-by-step explanation:

a 2m+5=13

2m=8

m=4

b 3m/5=-6

3m=-30

m=-10

c 4-5x=19

-5x=15

x=-3

d x/4-10=2

x=48

e -24=8(h+3)

-24=8h+24

-48=8h

h=-6

f -3+d/2=9

-3+d=18

d=21

hope this helps!

(attached image in the file below)

The calculated correlation coefficient (r) is approximately -0.291.

To calculate the correlation coefficient between telomere length and chronicity, we can utilize the given summary data. The correlation coefficient, often denoted as r, measures the strength and direction of the linear relationship between two variables.

Let's denote the sum of products as Σxy, the sum of squares for chronicity as Σx², the sum of squares for telomere length as Σy², and the total sample size as n.

From the given data, we have the following values:

Σxy = -8.822

Σx² = 318.817

Σy² = 2.868

n = 38

The correlation coefficient (r) can be calculated using the following formula:

r = Σxy / √(Σx² * Σy²)

Substituting the given values into the formula:

r = -8.822 / √(318.817 * 2.868)

Now, let's solve this equation step by step:

First, multiply the values inside the square root:

r = -8.822 / √(913.350956)

Next, calculate the square root:

r = -8.822 / 30.219307

Finally, divide Σxy by the square root of the product of Σx² and Σy²:

r ≈ -0.291

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Answer:

y = (-1/4)x + 2.5

Step-by-step explanation:

-2,3

2,2

The variance V[aX+b] of a random variable X with real numbers a and b simplifies to a^2 * V[X].

Here's a step-by-step explanation:

1. Recall the definition of variance: V[Y] = E[(Y - E[Y])^2], where Y is a random variable and E[Y] represents its expected value.
2. Substitute Y with aX+b: V[aX+b] = E[((aX+b) - E[aX+b])^2].
3. Apply the linearity of expectation: E[aX+b] = aE[X] + b.
4. Substitute this back into the variance equation: V[aX+b] = E[((aX+b) - (aE[X] + b))^2].
5. Simplify the expression inside the expectation: (aX+b) - (aE[X] + b) = a(X-E[X]).
6. Square the simplified expression: (a(X-E[X]))^2 = a^2 * (X-E[X])^2.
7. Use the fact that E[aZ] = a * E[Z], where Z is a random variable: E[a^2 * (X-E[X])^2] = a^2 * E[(X-E[X])^2].
8. Recall that E[(X-E[X])^2] = V[X], so the final answer is: V[aX+b] = a^2 * V[X].

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Answer:

x=8

x=-2

Step-by-step explanation:

The sample that could constitute a discrete random variable is the number of near collisions of aircraft in a year.

This is because it is a countable, finite number and not a continuous measurement like the height of the ocean's tide. The total number of points scored in a football game could also be considered a discrete random variable because it is a countable, finite number. However, the height of the ocean's tide is a continuous measurement and cannot be counted as a discrete random variable.
The sample that could constitute a discrete random variable is: i. total number of points scored in a football game.
A discrete random variable represents a countable number of distinct values or outcomes. In this case, the total number of points scored in a football game can be counted and listed, making it a discrete random variable.
On the other hand, the height of the ocean's tide at a given location (ii) is a continuous random variable, as it can take any value within a given range, and the number of near collisions of aircraft in a year (iii) could also be considered as a discrete random variable, but it's not one of the options in your question.

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Answer:

3rd option

Step-by-step explanation:

Substitute x = 0 into f(x) and check if the result is - 6

f(0) = (0 + 1)(0 + 2)(0 + 3) = 1 × 2 × 3 = 6 ≠ - 6

f(0) = (0 + 1)(0 - 2)(0 - 3) = 1 × - 2 × - 3 = 1 × 6 = 6 ≠ - 6

f(0) = (0 - 1)(0 + 2)(0 + 3) = - 1 × 2 × 3 = - 1 × 6 = - 6 ✔

Thus the 3rd option crosses the y- axis at (0, - 6 )

Answer:

No solution

Step-by-step explanation:

if you distribute the right side of the equation, we get

\(5x + 15 = 5x + 25\)

which is a problem, because this means that

\(5x - 5x = 25 - 15\\0 = 10\\\)

which is a false statement, meaning that no matter what you put into x, the equation will not hold.

hence, there is no solution

The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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Missing part of question

(a) If all matching cards will increase her score by 18, what are the matching cards

(b) If all matching cards will decrease her score by 12, what are the matching cards

See attachment for cards

Answer:

(a) 9 card number 2 or 6 card number 3

(b) 6 card number -6

Step-by-step explanation:

Given

The number on the cards are: 2, 3, -6 and 4

Solving (a): An increment of 18

From the card numbers attached, there are 3 positive numbers and 1 negative number

If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.

Next, for a card number to give an increment of 18; the card number must be a factor of 18.

So, we have:

\(\frac{18}{2} = 9\)

\(\frac{18}{3} = 6\)

\(\frac{18}{4} = 4.5\)

Only 2 and 3 are factors of 18.

So, Natalie cards are: 9 card number 2 or 6 card number 3

Solving (b): A decrement of 12

If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.

Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)

So, we have:

\(\frac{-12}{-6} = 2\)

So, Natalie cards are: 6 card number -6

the probability that one bill for veterinary services costs between $55 and $103 is approximately 0.7699, which corresponds to option (d).

The probability that one bill for veterinary services costs between $55 and $103 can be calculated by finding the area under the Normal distribution curve within this range.

To solve this, we need to standardize the values using the z-score formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

For $55:

z1 = (55 - 79) / 20 = -1.2

For $103:

z2 = (103 - 79) / 20 = 1.2

We then look up the corresponding probabilities associated with these z-scores in the standard Normal distribution table.

Using the table, we find that the probability for z1 is 0.1151, and the probability for z2 is 0.8849.

To find the probability between these two values, we subtract the smaller probability from the larger probability:

P(55 < x < 103) = 0.8849 - 0.1151 = 0.7699

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On the basis of birthday problem or scenario, the number of people should be selected to guarantee that at least 4 were born on the same day, not considering the year is equals to the 1096.

The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. The number of people who ensure that at least 7 people have a birthday on a single day of a non-leap year (365 days) can be determined by ensuring that in the number of people selected in each trial, two people do not have a birthday on a day. the same day. There are 365 days in a year.

Assuming everyone was born on a different day, then you could have 365 people where no one was born on the same day, but those 366 people would have to be born on the same day as someone else in the group. So the minimum number of people in a group would have to be 366 to guarantee that at least 2 people were born on the same day. But we wanted to guarantee that at least 4 people were born on the same day.

So, assuming we had 3 × 365 people together, with every 3 of them being born on the same day. Then would have a total of 365× 3 = 1095 people, with no more than 3 people being born on the same day. Now as we select one more person, the number of people born on a day for one of the days in the year will increase to 4. Hence the number of people that should be selected to guarantee that at least 4 were born on the same day are 1095 +1 = 1096. Hence, required value is 1096.

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Answer:

202

Step-by-step explanation:

So it has to end in 2 because 20t+22 will always be a 2.

day1:

17x1+49=66

no 2

day2:

17x2+49=83

odd

day3:

D=100

no 2

day4:

odd

day5:

D=134

no 2

etc

keep adding 17 to D until you get one that ends in 2

D=202

A=202

Answer:

n = - \(\frac{4}{3}\)

Step-by-step explanation:

Given

- 5(n - 1) = 7(n + 3) ← distribute parenthesis on both sides

- 5n + 5 = 7n + 21 ( subtract 7n from both sides )

- 12n + 5 = 21 ( subtract 5 from both sides )

- 12n = 16 ( divide both sides by - 12 )

n = \(\frac{16}{-12}\) = - \(\frac{4}{3}\)

Answer:

Step-by-step explanation:

To solve this you have to use the distributive property.

So first you would distribute the -5 to n and -1.

So the new equation will be -5n + 1 = 7 (n + 3)

Next, distribute the 7 to n and 3.

The new equation will be -5n + 1 = 7n + 21

Next you simplify by adding 5n to both sides which will give you 1 = 12n + 21

Then you subtract 21 from both sides and get -20 = 12n

So then you divide both sides by 12 to get n by itself and you are left with  -5/3 = n

Answer:

The area of this circle is \(176.74cm^2\)

Step-by-step explanation:

The formula for the area of a circle is : \(\pi *radius^2\)

The radius is the length from one side of the circle to the centre.

To work this out you would simply multiply pi by the radius of 7.5. squared. This gives you 176.74.

1) Multiply pi by 7.5 squared.

\(\pi *7.5^2=176.74cm^2\)

In this question pi is to be 3.142

Answer:

the answer is a

Answer:

Step-by-step explanation:

Multiply each then divide by the first number you started off with.

Answer:

$(80.5x + 69)

Step-by-step Explanation:

Recall, distributive property of multiplication can simply be expressed as follows, x(y + z) = xy + xz or x(y - z). Where x, y, and z could be any number.

Now, let's use the distributive property to show the total costs of plants Gloria decides to buy as an expression and also simplify it.

Thus, Gloria buys:

4 ferns = 4(0.5x - 3) = 4(0.5x) - 4(3) = $(2x - 12)

2 palms = 2(10x - 2.50) = 2(10x) - 2(2.50) = $(20x - 5.00)

10 lilies = 10(5 + 0.25x) = 10(5) + 10(0.25x) = $(50 + 2.5x)

8 shrubs = 8(4.50 + 7x) = 8(4.50) + 8(7x) = $(36 + 56x)

Total cost of the plants = (2x - 12) + (20x - 5) + (50 + 2.5x) + (36+ 56x)

Open the parentheses and then simplify:

Total cost = 2x - 12 + 20x - 5 + 50 + 2.5x + 36 + 56x

= 2x + 20x + 2.5x + 56x - 12 - 5 + 50 + 36

Total cost = $(80.5x + 69)

The volume of a square pyramid is

Where a is the length of each base side.

First, we have to find a using the perimeter.

Then, we find h using Pythagorean's Theorem,

Where c = 25in, b = 7in, and a represents the height h

Now, we find the volume

Answer:

1 + 1 = 2

Step-by-step explanation:

:)

Answer:

1 + 1 = 2

Hope it Helps

The perimeter of the rectangle is: 2⅙ yd

The area of the rectangle is: 1/4 yd².

Given the following:

Length of rectangle = 3/4 yd

Width of rectangle = 1/3 yd

The perimeter of rectangle = 2(3/4 + 1/3) = 2(13/12)

Perimeter = 2⅙ yd

The area of the rectangle = (3/4)(1/3)

Area = 3/12

Area = 1/4 yd²

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Answer:

Step-by-step explanation:

since they say that there are the 3 parallelograms, and that the two small ones are also part of the bigger one.. then HJ and FG are parallel lines and there fore  ∠2 ≈ ∠3

:)

Answer:

Thomas (t) = Andrew (x) * 2 + 12

Step-by-step explanation:

The expression represents the number of marble Thomas has is 2x + 12.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given,

The number of marbles Andrew has is x.

Thomas has 12 more than twice,

2x + 12

Hence "The expression represents the number of marble Thomas has is 2x + 12".

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As per the given values, the area of the hemisphere is 45065.41 m³

Volume = 450000 m³

Calculating the volume of the hemisphere -

Volume = 2/3 πr³

Substituting the values -

450,000 =2/3 x 3.14 x r³

Solving for r³

r³ = 450000 x 3/(2 x 3.14)

r³ = 214968.1

r = √214968.1

r = 59.9

Calculating the area of the hemisphere -

Area = 4πr²

Substituting the values -

Area = 4 x 3.14 x (59.9)²

= 12.56 x (59.9)²

= 45065.41

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Answer:

Your Perimiter is 42

Step-by-step explanation:

Distance from 7,5 to -7,5 is 14

Distance from -7,5 to -7,-2 is 7

Then we double both those numbers as it is a rectangle

2l + 2w = Per...

28 + 14 = 42

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