X + 14 = 56 What would I do to both sides to answer this equation? O Multiply both sides by 14 © Subtract both sides by 14 Subtract both sides by 14 Add both sides by 14​

If the sample size was increased, the 95% confidence interval would decrease. A larger sample size would provide more precise and accurate data, resulting in a narrower confidence interval.

A confidence interval is a range of values within which a population parameter is estimated to lie with a certain level of confidence. It is commonly used in statistical inference to estimate the true value of a population parameter based on a sample from that population.

If the sample size was increased, the 95% confidence interval would likely decrease. This is because a larger sample size typically leads to more precise estimates and less variability in the data, resulting in a narrower confidence interval. However, the exact size of the decrease would depend on various factors such as the amount of variability in the data and the level of statistical significance chosen for the study.

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Answer:

B.

Step-by-step explanation:

After looking at the graph you see the coordinates in the table are equal to the coordinates on the graph

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

The 90% confidence interval is   \(15.66< \mu < 15.94 \)

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  \(\sigma = 2.2\)

  The  sample mean is  \(\= x = 15.8 \ gallon\)

   The sample size is  n  =  669

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 90 ) \%\)

=>   \(\alpha = 0.10\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.645\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>  \(E = 1.645  *  \frac{ 2.2}{\sqrt{669} }\)

=>  \(E = 0.1399\)

Generally 90% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

=>    \(15.8  - 0.1399 <\mu<  15.8  + 0.1399 \)

=>    \(15.66< \mu < 15.94 \)

Answer:

\((1, -1)\) and \((-\frac{1}{5}, \frac{7}{5})\)

In decimal form this would be (1, -1) and (-0.2, 1.4)

Step-by-step explanation:

Basically here we are trying to solve a system of 2 equations. The first one is a straight line and the second is a circle. This can be done graphically and graph is attached. There will be two points where the line cuts the circle so two solution sets

The equations are

Line Equation \(y = 1 - 2x\)    (1) and

Circle Equation \(x^2+ y^2 = 2\)   (2)

\(y=1-2x\)

Plug this value of y into the second equation for the circle
\(x^2 + (1-2x)^2= 2\)

Apply the perfect squares formula \(\left(a-b\right)^2=a^2-2ab+b^2\)

\((1-2x)^2 = 1^2-2\cdot \:1\cdot \:2x+\left(2x\right)^2\\= 1-4x+4x^2\\\\\)

So equation (2) becomes
\(1-4x+4x^2 +x^2 = 2 \\\\\\5x^2 -4x - 1 = 0\)

Solve using the quadratic formula
\(x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)

Here a is the coefficient of x ², b is the coefficient of x and  c is the constant

So
\(x_{1,\:2}=\frac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:5\left(-1\right)}}{2\cdot \:5}\)

Now,

\(\sqrt{\left(-4\right)^2-4\cdot \:5\left(-1\right)} = \sqrt{\left(-4\right)^2+4\cdot \:5\cdot \:1}\)

= \(\sqrt{16+20} = \sqrt{36} = 6\)

Therefore
\(x_{1,\:2}=\frac{-\left(-4\right)\pm \:6}{2\cdot \:5}\)

\(x_1=\frac{-\left(-4\right)+6}{2\cdot \:5}\) = \(\frac{-\left(-4\right)+6}{2\cdot \:5} =\)  \(\frac{10}{2\cdot \:5}\) \(= 1\)

\(x_2 = \frac{-\left(-4\right)-6}{2\cdot \:5}\) \(= \frac{4-6}{2\cdot \:5}\) = \(-\frac{1}{5}\)

To find corresponding values for \(y_1 y_2\) plug these values of \(x_1, x_2\) into the line equation

\(y_1 = 1- 2(1) = -1\)
\(y_2 = 1 - 2(-\frac{1}{5}) = 1 + \frac{2}{5} = \frac{7}{5}\)

So the two points of intersection are

\((1, -1)\) and (\((-\frac{1}{5}, \frac{7}{5})\).

In decimal form this would be (1, -1) and (-0.2, 1.4)

See attached graph

Answer:

The probability would be 1/8.

Step-by-step explanation:

The probability of the spinner landing on an odd number is 1/2, and the probability of the spinner landing on a number greater than 8 is 1/4. So we multiply those two probabilites to get our answer 1/8.

The required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8

Given the following functions

f(x) = 2x² + 4x - 5

g(x) = 6x³ – 2x² + 3

In order to get the required function (f-g)(x), we will have to take the difference of the function as shown:

(f – g)(x) = f(x) - g(x)

Substitute the given parameters into the expression

(f – g)(x) = 2x² + 4x - 5 - (6x³ – 2x² + 3)

Expand

(f – g)(x) = 2x² + 4x - 5 - 6x³ + 2x² - 3

Collect the like terms

(f – g)(x) = 2x²+2x²- 6x³ + 4x -5 -3

(f – g)(x) = - 6x³+ 4x² + 4x -5 -3

(f – g)(x) =  - 6x³+ 4x² + 4x - 8

Hence the required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8

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A polar graph that is a limacon has a formula similar to \(r=a+bcos\theta\)

Option B is correct.

A  limacon has a formula similar to \(r=a+bcos\theta\)

Case 1 .  If  a < b  or  \(\frac{b}{a}>1\)

Then the curve is limacon with an inner loop.

Case 2.  If  a>b   or   \(\frac{b}{a}<1\)

Then the limacon does not have an inner loop.

Here, given that,  \(r=3+4cos\theta\)

It is observed that,  a < b  or \(\frac{b}{a}>1\)

Therefore, the curve is limacon with an inner loop.

Hence, option B is correct.

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The maximum amount of time that the draining can continue is 40/6 = 6.67 minutes (rounded to two decimal places).

To write a formula for the amount of water left in the tub, we need to understand how the water is being drained. Since we are given the rate of draining,

we can use that information to come up with the formula.The rate of draining is 6 gallons per minute, so we can represent the amount of water left in the tub as:

40 - 6tWhere t is the time in minutes. The amount of water in the tub decreases as time goes on, so we need to subtract the amount that is drained (6t) from the initial amount (40) to get the amount of water left.

In order to calculate the amount of water left after a certain amount of time, we can plug that time into the formula.

For example, if we want to know how much water is left after 10 minutes of draining, we can substitute t = 10 into the formula:40 - 6(10) = 40 - 60 = -20

This result doesn't make sense because we can't have a negative amount of water in the tub. This means that the formula is only valid for times when there is still water left in the tub. After that time, all the water will be drained.

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There are 20 people will be surveyed.

We have to given that;

Students want to investigate the popularity of some new movies. They decide to survey moviegoers at their local movie theater on which movie they are seeing and why.

Here, 200 people enter the theater and the students survey every tenth person.

Hence, Number of people will be surveyed are,

⇒ 200 / 10

⇒ 20

Thus, There are 20 people will be surveyed.

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Answer:

168 ways

Step-by-step explanation:

Given

\(Junior = 7\)

\(Senior = 3\)

Required

Number of ways 3 project can be assigned

Starting with the second project.

This can be assigned to only senior coders

So:

\(n_1 = 3\)

Then, the third project.

This can be assigned to only junior coders

So:

\(n_2 = 7\)

At this point, we are left with 2 senior coders and 6 junior coders

Since the first can be assigned to anybody.

\(n_3 =2+ 6\)

\(n_3 =8\)

The number of selection is then calculated as:

\(n = n_1 * n_2 * n_3\)

\(n = 3 * 7 * 8\)

\(n = 168\)

The slope intercept form of the given equation is,

y = 5x - 1/4

Given an equation of a line as,

5x - y = 1/4

We have to write the equation of the line in slope intercept form.

Equation of the line in slope intercept form is,

y = mx + c

Here m is the slope and c is the y intercept.

Rearranging the given equation,

5x = y + 1/4

5x - 1/4 = y

or,

y = 5x - 1/4

Hence the slope intercept form is y = 5x - 1/4.

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a is adjacent, b is opposite, and c is the hypotenuse that correctly describes the locations of the sides in relation to Y.Option D is correct,

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The complete question is

"Given right triangle XYZ, which correctly describes the locations of the sides in relation to Y?

a is opposite, b is adjacent, c is the hypotenuse

a is the hypotenuse, b is opposite, c is adjacent

a is adjacent, b is the hypotenuse, c is opposite

a is adjacent, bis opposite, c is the hypotenuse"

Refer to the attached file for a clear understanding.

The positions of the sides in regard to Y are described by the terms and are adjacent, b is opposite, and c is the hypotenuse.

Hence the correct answer is D.

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Answer:

I don't know your language

Answer:

se llena con 18.925 litros

Step-by-step explanation:

5x 3.785

\(GraceRosalia\)

x is the Variable!

I hope it helps you! Good luck with your studies!!

\(*********************************\\Is \\Brainliest\\possible? Thanks! :)\)

Answer:

I believe that u are right with the answer A: 302 in.²

\(\cfrac{8}{13}\cdot \cfrac{7}{55}\cdot \cfrac{11}{2}\implies \cfrac{8\cdot 7\cdot 11}{13\cdot 55\cdot 2}\implies \cfrac{616}{1430}\implies \cfrac{(22)(28)}{(22)(65)}\implies \cfrac{28}{65}\)

Answer:

28/65

Step-by-step explanation:

8/13×7/55×11/2

8/13×7/55=56/715

56/715×11/2=56/130=28/65

According to the given information, the approximate temperature of the Sun's core is \(1.485*10^{7}\)degrees Celsius.

The Sun is a massive ball of gas that generates heat and light through nuclear fusion at its core. The temperature of the Sun's core is much hotter than its surface temperature, and this difference in temperature is responsible for the Sun's energy output.

The temperature of the Sun's surface is approximately \((5.5*10^{3})\) degrees Celsius, which is also known as the photosphere. However, the temperature at the Sun's core is estimated to be about \((2.7*10^{3})\) times hotter than the surface temperature. This is because the core is the site of intense nuclear fusion reactions that convert hydrogen into helium and release huge amounts of energy in the form of heat and light.

To find the approximate temperature of the Sun's core, we can start with the temperature of the Sun's surface, which is given as \((5.5*10^{3})\) degrees Celsius. We need to multiply this by the factor of  \((2.7*10^{3})\)  to get the temperature of the core.

The approximate temperature of the Sun's core

= \((5.5*10^{3}) * (2.7*10^{3})\)

=\(14.85*10^{6}\)degrees Celsius

= \(1.485*10^{7}\) degrees Celsius (in scientific notation)

Therefore, the approximate temperature of the Sun's core is \(1.485*10^{7}\)degrees Celsius.

This extremely high temperature is necessary to sustain the nuclear reactions that power the Sun's energy output. The high temperature and pressure in the core create the ideal conditions for nuclear fusion to occur, which releases energy that eventually makes its way to the surface of the Sun and out into space in the form of light and heat.

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Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

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

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

According to the information we can infer that the period of the graph is 8.

To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.

In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.

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Answer:

number one is the appropriate answer for this question

The correct probability is indeed 0.25 or 25%.

When heterozygous pink (Pp) and white (pp) flowers are crossed, the Punnett square can be used to determine the probability of offspring having white flowers:

     |   P     p

---------------

 P  |  PP   Pp

---------------

 p  |  Pp   pp

From the Punnett square, we can see that there are four possible combinations of alleles for the offspring: PP, Pp, Pp, and pp.

Out of these four possibilities, only one combination (pp) corresponds to the white flower trait.

Therefore, the probability of an offspring having white flowers is 1 out of 4.

In terms of probability, this can be expressed as:

Probability of white flowers = Number of favorable outcomes / Total number of possible outcomes.

= 1 / 4

= 0.25

So, the correct probability is indeed 0.25 or 25%.

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Sales of one store is $274762500 and sales of other store is $275237500.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

Given

In a recent year, the total sales at Restaurant A were $475,000 more than at Restaurant B. Total sales at the two stores were $550,000,000.

Let sales of one store be x

Equation,

475000 + x + x = 550,000,000

2x = 550,000,000 - 475000

2x = 549525000

x = 274762500

Sales of one store = $274762500

Sales of other store

= $274762500 + $475000

= $275237500

Sales of one store is $274762500 and Sales of other store is $275237500.

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hello

to solve this question, let's get the datas down

to write the system of inequalities, first let's know the number of hours on each model

standard model = 6 hours to assemble + 2 hours for finishing touches

artisan model = 4 hours to assemble + 8 hours to assemble

available hours for :

a) standard model = 96 hours

b) artisan model = 112 hours

x = standard model produced daily

y = artisan model produced daily

it takes 8 hours to make 1 standard model

in 96 hours, we'll have

next we find that of artisan model

Net income and Owner’s Ending Equity are respectively $19,100 and $21,900.

                              Ty Ringo Corporation

Income statement for the year ending.....

Particular                                    Amount  

Service from revenue                  $62,500

Less:

Salaries expense                         $29,000

Advertising expense                   $1,500

Rent expense                              $9,500

Utilities expense                          $3,400  

Net Income                                   $19,100

                              Ty Ringo Corporation  

Owner’s Equity statement for the year ending.....

Particular                                    Amount              

Owner capital                             $47,000

Add:

Net income                                 $19,100

Less:

Owner’s drawings                        $6,000    

Owner’s Ending Equity              $21,900

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Answer: I say 13

Step-by-step explanation:

The perimeter of the whole garden would be 66m.

Hope this helps! :)

The answer to the expression is  (x+3)/(x-1)

You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0

The given expressions are

(x² - 3x - 18) / (x²- 7x +6

(x²-6x +3x +19) / (x²-x -6x +6)

This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}

⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]

This means that [(x+3)(x-6)] / [(x-6)(x-1)]

Dividing by (x-6) to have

Therefore the value of the expression is (x+3)/(x-1)

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Answer:

the volume of the toy house is 66cm3