A Health Psychologist Is Interested In The Effectiveness Of A New Exercise On Reducing The Rate Of Heart Attacks Because The Exercise Requires No Equipment And, Therefore, Can Be Done Without Cost. A. What Is The Research Hypothesis? B. What Is The Null Hypothesis? C. What Is The Comparison Distribution For This spesific example (we draw this out every time?)

The value of the expression -13x-7y is -8.

What is the system of equations?

Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.

Given system of equations are

-9x + y = 2   .....(i)

-4x - 8y = -10 ....(ii)

Solve the equation by using system of equations.

Multiply equation (i) by 8 and add with equation (ii)

-72x + 8y = 16

-4x - 8y = -10

___________

-76x = 6

x = 6/-76

x = - (3/38)

Putting x = - (3/38) in equation (i):

-9[- (3/38)] + y = 2

27/38 + y = 2

y = 2 - 27/38

y = 49/38

Putting x = - (3/38) and y = 49/38 in -13x-7y:

-13(-3/38)-7(49/38)

= 39/38 - 343/38

= -304/38

= -8

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Given that v0 = (2, 1, -2), v1 = (-2, 1, 1), and v2 = (1, 2, 2), we can find the orthonormal basis that should be parallel to v0, and w0 and w1 should span the same subspace as v0 and v1.To find the orthonormal basis that should be parallel to v0.

we need to follow these steps:

Let v0 be a vector in Rn with nonzero norm ||v0||, and let V be the subspace of Rn that is perpendicular to v0 (so if y is in V, then y·v0 = 0).

Then, we can construct an orthonormal basis {v1, . . . , vp} for V, and {v0/v0, v1, . . . , vp} will be an orthonormal basis for Rn.

To find {v1, . . . , vp}, we apply Gram-Schmidt to the basis {v0, v1, . . . , vp}.

Specifically, we compute vi' = vi - projv0vi for i = 1, . . . , p.

This ensures that {v1, . . . , vp} are all in V and that {v0/v0, v1, . . . , vp} is an orthonormal basis for Rn that is parallel to v0.

So, in this case, we can take v0 = (2, 1, -2), which has norm ||v0|| = sqrt(2^2 + 1^2 + (-2)^2) = sqrt(9) = 3.

Now, we need to find w0 and w1 that span the same subspace as v0 and v1. Since {v0, v1} is a basis for this subspace, any two linearly independent vectors in this subspace will span the same subspace. So, we can just pick any two such vectors. Let w0 = (2, 1, -2) and w1 = (-2, 5, 1).

We claim that {w0, w1} is linearly independent and spans the same subspace as {v0, v1}.To show that {w0, w1} is linearly independent, suppose that aw0 + bw1 = 0 for some scalars a and b. Then, we have(2a - 2b, a + 5b, -2a + b) = (0, 0, 0).This gives us two equations:2a - 2b = 0a + 5b = 0

Solving for a and b, we geta = 5/7 and b = -2/7.

Since a and b are not both zero, this shows that {w0, w1} is linearly independent.

To show that {w0, w1} spans the same subspace as {v0, v1}, we need to show that every vector in this subspace can be written as a linear combination of w0 and w1. Let (x, y, z) be any vector in this subspace.

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Answer:

y=(x-5)^2-4

Step-by-step explanation:

this is because the -4 drops it below the line and then x-5^2 stays where it is so mainly the minus in the domian and range and the -4 moves it over      

Answer:

Find the exact value using trigonometric identities.

Exact Form: x=34

Decimal Form: x=0.75

Step-by-step explanation:

The value of x is 3.

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

\(9^{-1/2} = 27^{1/4}\)÷\(3^{x +1}\)

\([3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}\) ÷\(3^{x +1}\)

\(3^{-1}\) = 3 ÷\(3^{x +1}\)

\(3^{-1}\)= \(\frac{3}{3^{x+1}}\)

\(3^{-1}= 3^{1-x+1}\)

\(3^{-1}= 3^{2-x}\)

On comparing we get,

-1=2-x

x= 3

Hence, the value of x is 3.

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Answer:

Step-by-step explanation:

The percentage increase in the cost of a gallon of gas according to the description given is; 80%.

It follows from the task content that the percentage increase in the cost of a gallon of gas is to be determined.

Since the percent increase is given by the formula;

%increase = (∆price/initial price) × 100%

= (6.30 - 3.50)/3.50 × 100%

= 2.80/3.50 × 100%

= 80%.

Ultimately, thee required percentage increase in the cost per gallon of gas is; 80%.

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Answer:

pls make it clear

Step-by-step explanation:

The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

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SOLUTION

The formula for area of Parallelogram is given as:

A= Base x Height

The formula for area of a trapezoid is given as:

Notice that the area of of the trapezoid can be defined as

A=Average of Base x height.

This implies that the both figures have the formula as a product of base and height.

Answer:

0

Step-by-step explanation:

First you find what f(4) is equal to then you plug that into g(x), so in this situation f(4)=4 so we then look at g(4), which is equal to 0

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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The denominators of two or more fractions must have a common factor, and the calculation can be defined as follows:

              \(\to\) \(\frac{2}{3} - \frac{3}{5}\\\\\)

              \(\to\) \(\frac{10-9}{15}\\\\\)

              \(\to\) \(\frac{10}{15} - \frac{9}{15}\\\\\)

So, the common denominator value by using the 15 is equal to

 \(\to \frac{2}{3} : \frac{10}{15} : \frac{3}{5}: \frac{9}{15}\)

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Answer:

7) Right triangle

8) Acute

9) Right triangle

10) obtuse

Step-by-step explanation:

The required values of x, y and z are 58°, 29° and 60°

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Given are two triangles with unknown angles, we are asked to find, value of x, y and z.

Since, the lines are given parallel,

Therefore,

2y = 58° [alternate interior angles]

y = 29°

Now,

2y = x [alternate interior angles]

x = 58°

Since, we know that, the sum of interior angles of a triangle is 180°

Therefore,

x + z + 62° = 180°

58° + 62° + z = 180°

z = 180° - 120°

z = 60°

Hence, the required values of x, y and z are 58°, 29° and 60°

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Answer:

1. yes

2.yes

3.yes

4. no

Step-by-step explanation:

On all graphs but the last one, each x value has one y value

Answer:

yes

yes

yes

no

im not 100% sure but i know for a fact the last one is not a function. its been a while since ive done functions

Answer:

20

Step-by-step explanation:

Answer:

20 is the missing value

Step-by-step explanation:

\( \large \bf\dag \gray{\frak{Given}}\)

\( \\ \\ \)

\( \\ \\ \)

\( \large \bf\dag \gray{\frak{To~Find}}\)

\( \\ \\ \)

\( \\ \\ \)

\( \large \bf\dag \gray{\frak{Solution}}\)

\( \\ \\ \)

To find diameter first we have to find radius of the circle.

We can find find radius of Circle by using this formula:

\( \\ \\ \)

\( \bigstar \boxed{ \text{Circumference of circle = 2}\pi \times \text{radius}}\)

\( \\ \\ \)

Let radius be r here:

\( \\ \\ \)

\( \dashrightarrow \sf \: Circumference \: of \: circle = 2\pi r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \:66 = 2 \times \dfrac{22}{7} r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \dfrac{66}{2} =\dfrac{22}{7} r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \cancel\dfrac{66}{2} =\dfrac{22}{7} r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \:33 =\dfrac{22}{7} r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \:33 \times 7 =22r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \frac{33 \times 7 }{22} =r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \frac{ \cancel{33 }\times 7 }{ \cancel{22}} =r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \frac{ 3\times 7 }{2} =r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \frac{21}{2} =r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf r = \frac{21}{2} \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \boxed{ \bf \: r = 10.5m} \star\)

\( \\ \\ \)

Now let's find diameter of circle:

We know:

\( \\ \\ \)

\( \bigstar \boxed{ \rm \:Diameter \: of \: circle = 2 \times radius}\)

\( \\ \\ \)

So:

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = 2 \times radius \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = 2 \times 10.5 \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = 2 \times \dfrac{105}{10} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = \cancel2 \times \dfrac{105}{ \cancel{10}} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = 1 \times \dfrac{105}{5} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = \dfrac{105}{5} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = \cancel\dfrac{105}{5} \\ \)

\( \\ \\ \)

\( \dashrightarrow \boxed{\bf\:Diameter \: of \: circle = 21m} \star\\ \)

\( \\ \\ \)

\(\therefore \underline {\textsf{\textbf{Diameter of circle is equal to \red{21m}}}} \orange{\bf{\dag}}\\ \)

Answer:

Step-by-step explanation:

I'm going to leave my answer, but it is not correct. Ms. Clarke gave you the write interpretation. If you are still around, give her the Brainiest.

Answer:

A. y=3/4x-1

Step-by-step explanation:

Answer:

x =127

Step-by-step explanation:

Since this is a 6 sided figure, the sum of the interior angles is 720

128+133+112+x+120+100 = 720

Combine like terms

x+593=720

Subtract 593 from each side

x+593-593 = 720-593

x =127

Hint :

Sum of angles of the 6 sided figure = \( {720}^{o} \)

Answer:

\( {x}^{o} = {127}^{o} \)

Step-by-step explanation:

\( {x}^{o} + {112}^{o} + {133}^{o} + {128}^{o} + {100}^{o} + {120}^{o} = {720}^{o} \\ {x}^{o} + {593}^{o} = {720}^{o} \\ {x}^{o} = {720}^{o} - {593}^{o} \\ {x}^{o} = { 127}^{o} \)

Answer:

We can rewrite this problem as:What is 38% of 288?

"Percent" or "%" means "out of 100" or "per 100", Therefore 38% can be written as  

38 /100

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number of pictures we are looking for "p".

Putting this altogether we can write this equation and solve for  p  while keeping the equation balanced:

p = 38 /100 × 288

p = 10944 /100  

p = 109

Step-by-step explanation:

Answer:

-1y + z

Step-by-step explanation:

2y + z - 3y [Given Expression]

-1y + z [Combine like-terms]

Answer:

-y + z

Step-by-step explanation:

2y + z −3y = 2y + z + −3y = ( 2y + −3y ) + ( z ) = −y + z

I hope this helps you :D

Answer: 8

Step-by-step explanation:

50.24 = 2r

50.24/3.14 = 2r/

16=2r

16/2=2r/2

8=r

The radius of the circle with given circumference is 8.

In mathematics, the circumference of any shape determines the path or boundary that surrounds it. In other words, the perimeter, also referred to as the circumference, helps determine how lengthy the outline of a shape is.

We are given that the circumference of a circle is 50.24 miles.

We know that circumference of a circle is given by \(\sf 2\pi r\).

So, using this we get

\(\rightarrow \sf C = 2\pi r\)

\(\sf \rightarrow 50.24 = 2 \times 3.14 \times r\)

\(\sf \rightarrow 50.24 = 6.28 \times r\)

\(\sf \rightarrow r=8\)

Hence, the radius of the circle with given circumference is 8.

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To find the number of integers less than 305 that are divisible by 3, we can divide 305 by 3 and round down to the nearest integer. This gives us 101. However, we need to subtract 1 to exclude the number 305 itself, so there are 100 numbers less than 305 that are divisible by 3.

A number is said to be divisible if it divides evenly (leaving no residue). 34, for instance, is divisible by 2 since 2 enters 34 equally. 34 is not divisible by 3 since it would result in a remainder.

According to the three-digit rule of division, a whole number is said to be divisible by three if the total of all its digits is precisely divided by three. A number's ability to be divided by three can be determined without executing division.

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We know that :

therefore , the correct option is B. 3/4

Using it's definition, the probabilities are given as follows:

The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.

The total number of bulbs in this problem is given as follows:

6 + 9 + 5 = 20.

Six of them are red, hence the probability of a red bulb is:

p = 6/20 = 0.3 = 30%.

Nine of them are blue, hence the probability of a blue bulb is:

p = 9/20 = 0.45 = 45%.

Five of them are green, hence the probability of a green bulb is:

p = 5/20 = 0.25 = 25%.

The probability of a red or blue bulb is:

p = 0.3 + 0.45 = 0.75.

The probability of a blue or green bulb is:

p = 0.45 + 0.25 = 0.6.

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Answer:

30 cents

Step-by-step explanation:

If you divide 1.50 by 5 you get .30 and if you divide 2.40 by 8 you also get .30 keep smiling, have a good day

The constant of proportionality that relates to the cost per can is $0.3.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, At a grocery store, Mary bought five cans of corn and paid $1.50.

Therefore, The cost of each can is,

= $(1.50/5).

= $0.3.

And,  Larry bought 8 cans of corn and paid $2.40.

Therefore, The cost of each can is,

= $(2.40/8).

= $0.3.

So, The constant of proportionality is $0.3.

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