A survey found that 81% of adults need correction for their eyesight. if 10 adults are randomly selected, what is the standard deviation of adults who will need their eyesight corrected.

Answer:

3.5

Step-by-step explanation:

3/2(5) - 4

= 1.5(5) - 4

= 7.5 - 4

= 3.5

Hope this helped!

Answer:

25 sin 42 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite/ hypotenuse

sin 42 = x / 25

Multiply each side by 25

25 sin 42 = x/25 *25

25 sin 42 =x

Answer:

A

Step-by-step explanation:

45/3 can be classified as a division expression.

45/3=15

hope it helps!

By using substitution method, x = 0, and y = -3 are the solutions of the given system of equations.

What is substitution method?

In order to solve a system of equations, the substitution approach is typically utilized in mathematics. The first equation involving the variable must be solved using this method before the variable's value is substituted in the second equation.

Consider the given system of equations

-5x - 3y = 9       ..(1)

4x - 18y = 54       ..(2)

From equation (1),

-5x = 9 + 3y

\(x =- \frac{9+3y}{5}\)              ..(3)

Plug the value of x in equation (2),

\(4(-\frac{9+3y}{5})- 18y = 54\\-36-12y-90y = 270\\ -36 - 102y=270\\102y = -36-270\\102y=-306\\y = -3\)

Plug y = -3 in equation (3)

\(x = -\frac{9+3(-3)}{5} =-\frac{9-9}{5} =0\)

x = 0

Hence, by substitution method x = 0 and y = -3.

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Nooooooooooooooooooooooooooopppppppppppppppppeeeeeeeeeeeeee

Answer:

70 dollars

Step-by-step explanation:

he has only 70%left of his initial savings so that make 70%*100=7*10=70usd

Answer:

$5.23 per burger

Step-by-step explanation:

You need to divide $20.92/4=5.23

Answer:

5,23

Step-by-step explanation:

$20.92 divided by 4 = 5,23

because the total cost divided by how many you bought equals to the price ever each one IF they were of equal cost.

In this case they most likely were.

Answer:

x = 14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

B

Step-by-step explanation:

Start at zero.

Go 2 units left to -2.

Then go another 7 units left to add -7.

Answer: B

For our example, let us consider the reflection on the x axis and then a translation of 1 unit to the right and 3 units up.Consider the line y=x. We will see what happens if we first apply the translation and then the reflection and then we will see what happens if we do it the other way around.

Recall that given the reflection on the x axis, we simply multiply the y coordinate by -1.

So, let us see what happens in each case.

First apply reflection and then translation.

We are given the line y=x. If we want to reflect this line on the x axis, we multiply the y coordinate by -1, so we get

Now, if we apply a translation of 1 unit to the right and 3 units up, we add 1 to the x and 3 to the -y. So we get

If we subtract 3 on btoh sides we get

Finally, we multiply both sides by -1, so we get

First apply the translation and then the reflection.

We are given the line y=x. We apply the translation first, so we add 1 to the x and 3 to the y. So we get

Now, we apply the reflection, so we multiply by -1 the whole left side. So we get

Now we add 3 on both sides, so we get

Now we multiply by -1 both sides, so we get

As we can see, both equations are different

Here is a sketch of the results

The radius of convergence of the given series is infinity.

To find the radius of convergence, we use the ratio test, which involves computing the limit of the ratio of successive terms. Applying the ratio test to the given series, we get:

limit as n approaches infinity of [((n+1)!)^k/(k(n+1))!][k!/(n!)^k][x^(n+1)][(kn)!/k!][n!/(kn)!]*[x^n]

Simplifying the expression, we get:

limit as n approaches infinity of [(n+1)/(kx)]*|x|

Since the limit is infinity, the radius of convergence is infinity. This means that the series converges for all values of x.

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Answer:

yes by aa similarity.

angle sxn=nyd [given]

angle snx= ynd [by vertically opposite angle]

Answer:

48.83

Step-by-step explanation

If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.

In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.

Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.

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No, a proportion of 0.68 or more occurred 7 times out of 100 simulated proportions; therefore, there is insufficient evidence that the true proportion of heads is greater than 0.5.

Option D is the correct answer.

We have,

In statistical hypothesis testing, we often compare observed data to a null hypothesis, which represents a specific value or condition that we want to test against.

In this case, the null hypothesis is that the true proportion of times a spun dime lands on heads is 0.5.

To evaluate whether there is evidence to suggest that the true proportion is greater than 0.5, the student simulated 100 proportions of heads based on the assumption of the null hypothesis.

These simulated proportions represent what we would expect if the true proportion were indeed 0.5.

The dot plot displays the 100 simulated proportions.

It shows the frequency of each simulated proportion on the number line.

Looking at the dot plot, we see that a proportion of 0.68 occurred 7 times out of the 100 simulated proportions.

This indicates that the observed proportion of 0.68 is not a rare or extreme occurrence under the assumption of the null hypothesis.

Therefore, we do not have sufficient evidence to reject the null hypothesis and conclude that the true proportion of heads is greater than 0.5.

Thus,

The dot plot does not provide strong evidence to support the claim that the proportion of times a spun dime lands on heads is greater than 0.5.

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The biased statistical measure among the given options is mean.

Statistical bias is anything that leads to a systematic difference between the true parameters of a population and the statistics used to estimate those parameters.

The mean of a sampling distribution is biased when the sample is drawn from a non-normal population or when the sample size is small. In such cases, the mean tends to be pulled towards the extremes of the distribution, resulting in a biased estimate of the population mean.

In contrast, the median is a robust measure that is less affected by extreme values, and is therefore less likely to be biased. The variance and proportion are also unbiased measures of the sampling distribution.

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Answer:

x = 6

Step-by-step explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

         = 36

=> x = 36/6 = 6

When the addition of a constraint to a linear programming problem does not change the solution, it is said to be redundant. The correct answer is D) redundant.

A constraint in a linear programming problem is said to be redundant if its addition to the problem does not change the solution. In other words, the constraint is already satisfied by the current solution and does not impose any additional restrictions on the feasible region.

In contrast, an unbounded constraint allows for an infinite range of solutions, a non-negative constraint requires that the variables be greater than or equal to zero, and an infeasible constraint cannot be satisfied by any solution.

Therefore, if the addition of a constraint does not change the solution of a linear programming problem, it is considered to be redundant. I.e, the correct answer is D) redundant.

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Answer:

option 1

Step-by-step explanation:

y = 3x + 3   ie       3x -y +3 =0     a1= 3  , b1=-1  ,  c1=3

y = -2x + 3   ie      -2x -y+3 = 0    a2=-2 , b2=-1 , c2=3

on comparing the ratios ,

a1/a2 = 3/2

b1/b2 = -1/-1= 1/1 =1/1= 1

a1/a2 ≠ b1/b2

therefore the pair of linear equations will have exactly one solution

mark me as the brainliest...

Answer:

A

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

Step-by-step explanation:

Ratio of adults to children= 7:3

Total no. Of people at the cricket match:150

To find the value of the ratios, 7x+3x=150 ; 10x=150 ; x=150/10:15

So, 7:3 is 7(15) adults to 3(15) children,

Total no. Of adults: 105

Total no. Of children: 45

So, as per the question, the no. Of children that attended the cricket match is 45

Answer:

maximum

vertex at (-1,1)

axis of symm:  x = -1

2 solutions

(-2,0) and (0,0)

Step-by-step explanation:

The required function is P(t)=50000 + 5000t.

In this problem we need to form the function of the population in a town.

Here it is given that the initial population of the town is 50000.

the rate at which the population increases is 5000 per year.

So, the increase for the first year will be 5000. And the population will be 55000.

Then again for the next year the growth will be 5000 and the population will be 50000 + (5000×2)

        = 60000

So we can see clearly that the population is varying with time and we can write the function as P(t)=50000 + 5000t where t is the time in years.

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The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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Solution

Given the function below

Where

Also recall that the contangent formula is

Thus;

From the above deduction,

sinθ is the denominator,

Hence, the domain of validity is defined for the set of real numbers except for sinθ = 0

Answer:

v = 27,000 mm³

Step-by-step explanation:

v = s³

v = 30³

v = 27,000 mm³

Answer:

Proof:

Draw circle C with center at point A and radius AD = CD = DE.

Draw point P outside the circle C.

Draw segment AP and extend it to intersect the circle at point B.

Draw segment BD.

Draw segment CP.

Note that triangle BCD is isosceles, since CD = BD. Therefore, angle BDC = angle CBD.

Since angle BDC is an inscribed angle that intercepts arc BC, and angle CBD is an angle that intercepts the same arc, then angle BDC = angle CBD = 1/2(arc BC).

Since CD = DE, then angle CED = angle CDE. Therefore, angle DCE = 1/2(arc BC).

Since angles BDC and DCE are equal, then angles BDC and CBD are also equal, and triangle BPC is isosceles. Therefore, segment BP = segment PC.

Since BP = PC, then segment CP is perpendicular to segment BD, by the Converse of the Perpendicular Bisector Theorem.

Therefore, segment CP is a tangent to circle C at point B.

Hence, the proof is complete.

Answer:

I got a good grade on it yw ;)

Answer:

I think the answer is D. (2,6,8) because if the ones on the right are y - coordinates in the Function then it should be correct. If not sorry

(Range is y - coordinate)

(Domain is x - coordinate)

Thus, the probability are Zero represents the impossibility.

1/2 equals probable and unlikely

1 = event happens.

Because we don't know how something will turn out, we might talk about the probability of one outcome or the potential for several outcomes.

Typically, the likelihood is stated as the proportion of favourable events to all other potential outcomes in the sample space.

The probability of an event is calculated using the formula P(E) = (Number of favourable outcomes) (Sample space).

Given that probability can only be a number between 0 and 1,

The zeroth value is the impossible.

so there is a 50% chance for both likely and unlikely.

If 1, the event must take place.

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