"Four times the difference of a number and seven is at least -52."​

Answer:66.7%

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

The values of a triangle have to equal 180. Subtract 180 by the two angles.

180-52=128

128-78=50

So M is 80 degrees.

-hope it helps

Answer:

Hi, there my name is 1frogaroni and I will be helping you out today!

Step-by-step explanation:

The answer to your question is 10.02.

2.8+7.22

=2.8+7.22

=10.02

You must simplify. if this helped I would be happy to get brainliest in order for me to rank up.

Have a great day!

Answer:

im sorry i dont know it

Step-by-step explanation:

hope u have a good day

Answer:

D

Step-by-step explanation:

trust me :D

Answer:

B. (20 . 3/5)6

Step-by-step explanation:

Answer:

2x^2 + 3x+ 6

Step-by-step explanation: if u simplify the equation that should be the correct answer

There are several rationales for avoiding the pooled two-sampled t procedures for inferences. Here are a few:In certain cases, the assumption of equal population variances may be wrong, causing the pooled t procedures to yield unreliable results.

In case the assumption of equal population variances is violated, Welch's t-test is more powerful than the pooled t-test.If the sample sizes of the two groups being compared are significantly unequal, the pooled t-test can produce misleading results, and Welch's t-test should be used instead.Therefore, the rationale for avoiding the pooled two-sampled t procedures for inferences is that the assumption of equal population variances might be inaccurate, causing unreliable and less efficient results.When comparing two population means, a two-sample t-test is commonly used. The pooled two-sample t-test is one of the most widely utilized methods for comparing means. It assumes that the two populations have equal variance, and it has been shown to be quite reliable when this assumption is valid.However, if the populations have unequal variances, this assumption can be incorrect, and the pooled t-test can yield unreliable results. If the population variances are not equal, the Welch's t-test is often used. It does not assume equal variances and is more powerful when this assumption is not met. When comparing two groups with different sample sizes, the t-test may produce misleading results if the variances are unequal. In this situation, Welch's t-test is used because it is more accurate and effective in these circumstances.

Thus, if we don't know if the variances of the populations are equal, we should avoid using the pooled t-test and instead use Welch's t-test, which is more powerful and does not require the equal variance assumption.

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B. The data shows a positive, linear association.

To determine the association between height and weight of the ten boys, we will first observe the data points provided. We can compare the increase or decrease in height with the corresponding increase or decrease in weight to identify a pattern.

Here's a list of height and weight pairs:
(60, 125), (63, 139), (65, 155), (61, 136), (70, 170), (55, 108), (58, 116), (61, 139), (64, 129), (57, 121)

Upon observing these pairs, we can see that as height increases, weight generally increases as well. For example, when height increases from 55 inches to 70 inches, weight increases from 108 pounds to 170 pounds. This pattern can also be seen in other data pairs.

This means that there is a direct relationship between the height and weight of the boys, where taller boys tend to weigh more, and shorter boys tend to weigh less.

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Answer:

no

Step-by-step explanation:

Answer:

Sas

Step-by-step explanation:

Because it’s side angle side

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The given triangles are congruent by :

because two of their sides are equal and the angle between the is equal too (by vertical opposite angle pair).

Answer:

A,C and D are the correct options.

Answer:

More fish were caught per person on Day 2

Step-by-step explanation:

Day 1:

3 people caught 1 fish = 3 fish

6 people caught 2 fish = 12

6 caught 3 = 18

6 caught 4 = 24

6 caught 5 = 30

3 caught 6 = 18

Total fish caught =  105

That's 105/30 = 3.5 fish per person

Day 2:

3 people caught 1 fish = 3 fish

3 caught 2 = 6

4 caught 3 = 12

6 caught 4 = 24

7 caught 5 = 35

7 caught 6 = 42

Total fish caught = 122

122/30 = 4 fish per person

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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X and Y are not independent

In order to answer this question, we need to refer back to Exercise 5.1.1, which defines the joint distribution of two random variables X and Y as:

P(X = 1, Y = 1) = 0.1
P(X = 1, Y = 2) = 0.2
P(X = 1.5, Y = 1) = 0.3
P(X = 1.5, Y = 2) = 0.4

a. To determine the conditional probability distribution of Y given that X = 1.5, we need to use the formula:

P(Y = y | X = 1.5) = P(X = 1.5, Y = y) / P(X = 1.5)

Using the joint distribution from Exercise 5.1.1, we can calculate the probabilities as follows:

P(Y = 1 | X = 1.5) = 0.3 / (0.3 + 0.4) = 0.4286
P(Y = 2 | X = 1.5) = 0.4 / (0.3 + 0.4) = 0.5714

Therefore, the conditional probability distribution of Y given that X = 1.5 is:

P(Y = 1 | X = 1.5) = 0.4286
P(Y = 2 | X = 1.5) = 0.5714

b. To determine the conditional probability distribution of X given that Y = 2, we use the same formula as above:

P(X = x | Y = 2) = P(X = x, Y = 2) / P(Y = 2)

Using the joint distribution from Exercise 5.1.1, we can calculate the probabilities as follows:

P(X = 1 | Y = 2) = 0.2 / (0.2 + 0.4) = 0.3333
P(X = 1.5 | Y = 2) = 0.4 / (0.2 + 0.4) = 0.6667

Therefore, the conditional probability distribution of X given that Y = 2 is:

P(X = 1 | Y = 2) = 0.3333
P(X = 1.5 | Y = 2) = 0.6667

c. To calculate E(Y | X = 1.5), we use the formula:

E(Y | X = 1.5) = ∑ y * P(Y = y | X = 1.5)

Using the conditional probability distribution of Y given that X = 1.5 from part a, we can calculate the expected value as follows:

E(Y | X = 1.5) = 1 * 0.4286 + 2 * 0.5714 = 1.714

Therefore, E(Y | X = 1.5) = 1.714.

d. To determine whether X and Y are independent, we need to check whether the joint distribution factors into the product of the marginal distributions:

P(X = x, Y = y) = P(X = x) * P(Y = y)

Using the joint distribution from Exercise 5.1.1, we can see that this condition does not hold, since for example:

P(X = 1.5, Y = 1) = 0.3
P(X = 1.5) * P(Y = 1) = 0.5 * 0.4 = 0.2

Therefore, X and Y are not independent.

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Answer:

Step-by-step explanation:

4b - 16b + 12 = 48

-12b + 12 = 48

-12b = 36

b = -3

Answer:

Domain of the given function is all real numbers i.e. R.

Step-by-step explanation:

It is given that the given graph is a V shaped graph.

It is crossing x - axis at \((-2,0)\)

then y-axis at \((0,-2)\) and

then again x - axis at \((2,0)\).

If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at \((-2,0)\), then intersects y axis at \((0,-2)\)  and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at \((2,0)\).

Please find attached graph for the same.

This graph denotes the following function:

\(y=f(x)=|x|-2\)

Domain of a function \(y =f(x)\) is the values of \(x\) that can be provided to the function.

Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.

Modulus function has R as its domain.

So, the answer is:

Domain of given function is all Real Numbers, R

Answer:

A on edg. all real numbers

Step-by-step explanation:

The speed of the train is 1 m/s.

A train travelled along a track for 70 s at a constant speed. What was its speed in metres per second (m/s)?The speed of the train in metres per second is the distance covered by the train in one second. Therefore, to determine the speed of the train, we must first determine the distance it covered during 70 seconds along the track.

The speed of the train can be calculated by dividing the distance covered by the train in meters by the time taken in seconds.  Therefore,Speed = Distance/TimeThe formula for distance is;Distance = Speed x TimeThe time taken by the train is 70s.The distance travelled by the train is not given, but we can calculate it using the speed of the train and time taken.

Therefore;Distance = Speed x Time Substituting the values;Distance = Speed x 70To find the speed of the train, we rearrange the formula as shown below;Speed = Distance/TimeNow we can substitute the value of distance to get the speed;Speed = (Speed x 70)/70Simplifying the expression,Speed = Speed

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The probability of rolling 1,2,3, or 4 and heads with the coin is 1 / 3.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that roll a fair 6-sided die and then flip a fair coin, you roll a 1, 2, 3, or 4 and get heads with the coin.

The probability will be calculated as,

P = ( ( 4 / 6 ) x ( 1 / 2 )

P = ( 2 / 3 ) x ( 1 / 2 )

P = 1 / 3

Therefore, the probability of rolling 1,2,3, or 4 and heads with the coin is 1 / 3.

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Answer:

\(5 * 85 = 425\)

Step-by-step explanation:

⭐ What is the product of 2+ numbers?

To get the product of 5 and 85, multiply them!

You can multiply them using a calculator, or manually multiply them just like how I showed in the image attached:

Answer:

16

Step-by-step explanation:

mp is 18, do 4/9 of that and you get 8. add it to m and get mn which is 16

For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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The amount of milk used per minute in a commercial kitchen that uses 3/4 of a cup of milk every 4/6 of a minute is 1/2 cup of milk.

In a recipe or cooking, fractions are frequently used. We can use them to measure ingredients such as sugar, butter, milk, and other items. The numerator of the fraction refers to the number of parts that are utilized. The denominator, on the other hand, refers to the whole.

The fraction 3/4 can be defined in the following ways: 3 parts out of 4 parts,75 parts out of 100 parts,15 parts out of 20 parts,The fraction 4/6 can be reduced as:4/6 = (4 ÷ 2)/(6 ÷ 2) = 2/3Thus, the fraction 4/6 represents 2/3 or two parts out of three parts.

We can use proportions to figure out how many cups of milk are used per minute. To do that, we need to convert the given quantity of milk into a fraction that represents the amount of milk used per minute

The kitchen uses 3/4 of a cup of milk every 4/6 of a minute.=> The fraction that represents the amount of milk used per minute = [3/4 ÷ 4/6]=> Multiplying the numerator and denominator of the above fraction by 6, we get:[3/4 ÷ 4/6] = [3/4 × 6 ÷ 4/6 × 6] = [18/24 ÷ 24/24] = 18/24= 3/4 (Reduced Form)Therefore, 3/4 of a cup of milk is used per 4/6 of a minute, or 1/2 cup of milk per minute, if we simplify it further.

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As per the given proof it is showed that the equations of quadratic equation can be written in the form of perfect square trinomial.

Basically it is the polynomial having degree 2.

it is generally represented in the format f(x) =  ax²+ bx + c

The quadratic expression of the general form is given by :

f(x) =  ax²+ bx + c

(b) To complete the square:

Divide the equation through by a , the equation then becomes

f(x)= x² +b/a x  + c/a

At this point, you are require to

(i) Multiply the coefficient of x by 1/2

(ii) Square the obtained result

(iii) Add the result to both sides of equation , we get

f(x) =  x²+ bx/a  + (b/2a)² + c/a  + (b/2a)² by completing the square , we get

f(x) = (x + b/2a)² + c/a  - b²/ 4a² . We do this in order to make the expression balanced

(c) Using the order of operation to turn the expression back into standard form

i. Expanding the function in the bracket , we have

f(x) =  x²+bx /a  + (b/2a)²  + c/a - b² / 4a²

⇒ f(x) =  x²+bx /a  + (b/2a)²  + c/a - b² / 4a²  

⇒f(x) =   x²+ bx /a  + c/a

multiply through by the L.C.M , which is a , then we have

f(x) =  ax²- bx + c .

Since the aim of completing square is to make the expression in a  perfect square format , then it will always result in a perfect square trinomial.

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If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.

An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.

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Answer:

20) 7/16 = 0.4375

21) 1/6 = 1.6 repeating

22) 2 4/5 = 2.8

23) 98 2/3 = 98.6 repeating

24) 0.8 = 4/5

25) 26 1/5

26) 72.1 repeating = 72 1/9

27) 0.505 = 101/200

Explanation:

To convert fraction into decimal, divide the numerator by the denominator and that's your answer. For example:

7 ÷ 16 = 0.4375.

To convert a decimal into a fraction, place the number after the decimal point over the number place it's in. For example: If you look at 0.8 , 8 is in the tenths place, so you place it over 10 like this 8/10, and then you simplify. Half of 8 is 4 , and half of 10 is 5, so you'd have 4/5.

For #27, since 505 in 0.505 , is in the thousandths place, you'd put it over 1,000 like this 505/1000 and then you simplify. Look at image above to learn how to simplify 505/1000.⤴⤴⤴

Answer:

The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \(\frac{1}{5}\).

Step-by-step explanation:

We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one  as the treasurer of the remaining 8 members.

We want harry to be as either as secretary or as treasurer. so we will consider both the cases

Probability is given by = No of favorable outcomes/ Total no of outcomes

(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer

  As president = \(\frac{1}{10}\)

  Not as president = \(1 - \frac{1}{10}\) = \(\frac{9}{10}\)

Now he is selected for the secretary so he can't be selected as treasurer.

Not as treasurer = 1

Probability for chosen as secretary = \(\frac{9}{10}*\frac{1}{9}*1\)  = \(\frac{1}{10}\)  

(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.

Probability for not chosen as president = \(\frac{9}{10}\)

Probability for not chosen as secretary =  \(1-\frac{1}{9} = \frac{8}{9}\)

Probability to be chosen as treasurer = \(\frac{1}{8}\)

Probability to be chosen as Treasurer = \(\frac{9}{10}*\frac{8}{9}*\frac{1}{8}\) = \(\frac{1}{10}\)

Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)

           = \(\frac{1}{10} +\frac{1}{10} = \frac{1}{5}\)

Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \(\frac{1}{5}\).

Distance from the base of tower to the airplane = 706ft.

The term "angle of depression" called   angle created when an observer looks down at an item and the horizontal line intersects with the line of sight. It determines how our field of vision shifts as we glance down. Say you are standing in your kitchen and gazing straight, and suddenly you spy an insect crawling on the floor.

Given, Angle of Depression=12°

Height of tower=150ft

For AB parallel to CD

∠ACD=∠cAB=12°

Tan12°=BC/AB

AB=BC/Tan12°

AB=706ft

Hence, Distance from the base of tower to the airplane = 706ft.

Diagram is attached below;

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