The archway to the entrance of an art gallery can be
modeled by y = -}(x - 5)(x + 5), where x and y
are measured in feet. The x-axis represents the floor.
Find the width of the arch at floor level.

Answer:

  -3

Step-by-step explanation:

Put 4 where x is, and do the arithmetic.

  (4^2 -4)/(4 -8) = (16 -4)/(-4) = 12/-4 = -3

The value of the expression is -3 for x=4.

[tex] {x}^{2} + 2x + 26 = ( {x}^{2} + 2x + 26- 25) + 25 = \\ = (x + 1) ^{2} + 25[/tex]

The function f(x) = x² + 2x = 26 can be written as f(x) = (x + 1)² = 27.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as it's degree is two.

Given, f(x) = x² + 2x = 26.

f(x) = (x)² + 2(x)(1) + 1² = 26 + 1.

f(x) = (x + 1)² = 27.

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Answer:

0.8 or .8

Step-by-step explanation:

multiply the top and bottom by 10

so 8/10=80/100

to get the decimal form, just divide 8 by 10 and it should give you 0.8

Answer:

Dale says the ratios 3:5 and 2:10 are equivalent.

He is wrong.

Let's compare the two ratios by converting them into the new forms which have the same denominator.

3/5 = 6/10

2/10 = 2/10

6/10 > 2/10 => 3/5 > 2/10

Hope this helps!

:)

Answer:

888

Step-by-step explanation:

Im pretty sure this is the answer, if helpful please mark me as brainiest :>

Answer: B

Step-by-step explanation:

Firstly, we identify the number of people that can use the slide per minute, which is 6. Using this, we find that for 1 minute it's 6 people, for 2 minutes it's 12 people and for 4 minutes it's 24 people.

The question provides us that 18 people can go down the water slide in 3 minutes. This suggests that every minute, 18 ÷ 3 = 6 people can go down the slide. So, for the double number line, we would show:

This 'per minute' basis helps in understanding and calculating the number of people going down the slide at different time intervals.

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Clarissa's grade-point average for the semester is 1.

We have,

To calculate Clarissa's grade point average (GPA) for the semester, we need to assign points to each grade and calculate the weighted average.

Given the grade scale: A = 4 points, B = 3 points, C = 2 points, D = 1 point, and F = 0 points.

Clarissa earned the following grades:

Linear Algebra (4 hours): Upper D (D) = 1 point

Sociology (5 hours): Upper D (D) = 1 point

Engineering (2 hours): Upper D (D) = 1 point

Philosophy (3 hours): Upper D (D) = 1 point

To calculate the weighted average, we need to multiply each grade by the number of credit hours for the course and sum them up.

Then, we divide the total by the sum of the credit hours.

Total points = (1 * 4) + (1 * 5) + (1 * 2) + (1 * 3) = 4 + 5 + 2 + 3 = 14

Total credit hours = 4 + 5 + 2 + 3 = 14

GPA = Total points / Total credit hours = 14 / 14 = 1

Therefore,

Clarissa's grade-point average for the semester is 1.

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revenge! hope that helps! thank you for my points back!

Precalc/Trig is easy. SO please mark me as BRAINLIEST

Answer:15/13

Step-by-step explanation:

Answer:

Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 1,100 square feet

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 1,100 square feet

Step-by-step explanation:

We are given that the mean area of several thousand apartments in a new development is advertised to be 1,100 square feet.

A consumer advocate has received numerous complaints that the apartments are smaller than advertised.

Let [tex]\mu[/tex] = mean area of several apartments.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 1,100 square feet

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 1,100 square feet

Here, null hypothesis states that the mean area of apartments are same as advertised.

On the other hand, alternate hypothesis states that the mean area of apartments are smaller than advertised.

So, this would be the appropriate null and the alternative hypothesis to test this claim.

Answer:

First, our answer is 18 yards long.

Step-by-step explanation:

It is 18 yards long because first, we have 9, the length of Jamie's car.  Joey's car length is 27 feet. Then, since 1 foot converted is 0.333333...., it is very hard to convert so i turn it in to 9 foot converted into 3 yards. Then, both sides multiply by 3 so 27 foot equals to 9 yards. 9 yards+9 yards equals 18 yards.

Hope it helps Hailey!

Pls mark it brainliest.

Thx!

Answer:

do you know what x or dx =

Step-by-step explanation:

You first calculate the sample mean, or μ_bar, of the data. Given it's a Poisson distribution, the mean is equal to the variance, giving your standard deviation. Finally, for a 95% CI, you apply the Z score to the formula μ_bar ± Z*(sqrt(μ_bar/n)) to obtain your confidence interval.

The subject is related to Poisson distribution and the calculation of a confidence interval (CI) for the population mean (µ).

Firstly, we calculate the sample mean that is the total number of instances divided by the number of days:

This gives us the sample mean, µ_bar.

Given the data follows a Poisson distribution, the mean and the variance are equal (µ = variance). For a Poisson distribution, the variance is equal to µ divided by n, hence we get the standard deviation as sqrt(µ/n).

For a 95% CI, Z = 1.96 (from the standard normal table). Our CI will therefore be µ_bar ± Z*(sqrt(µ_bar/n)).

Since n is large, the distribution can be assumed to be approximately normal and the CI can be treated as reliable.

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To calculate a 95% confidence interval for a Poisson distributed data set, first calculate the sample mean. Consider the variance of Poisson equals to its mean, the standard error would be square-root of (mean divided by sample size). Using z-score of ±1.96 for 95% confidence level, solve for mean in both inequalities will give the interval.

The question pertains to deriving a 95% confidence interval for the mean (µ) of a Poisson distributed data set. In this case, the data set provided represents the number of teacher absences in a school district over 50 days.

Firstly, you will need to calculate the sample mean by multiplying each absence by its frequency, sum those up, then divide the sum by the total number of observations. This serves as an estimator for the Poisson mean µ.

Considering that the variance of a Poisson variable equals to its mean µ. The standard error would then be √(µ/n), where n is the number of observations. For a 95% interval, Z should be approximately ±1.96.

The confidence interval can be calculated using the standard formula for a large sample size:

Z = ±1.96 = (X - µ)/√(µ/n)

Solving for µ in both inequalities will give you the confidence interval.

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Answer:

(3) 82%

Step-by-step explanation:

.62/.76=.8157894737 which when rounded is 82%.

If 76 percent of freshmen take Statistics, the percentage of freshmen who take English is 82 percent. Option B is correct.

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The percent of freshmen taking Statistics are taking English if 76% of freshmen are taking Statistics is found as;

The percent of freshmen taking Statistics are taking English if 76% of freshmen are taking Statistics is found as;

[tex]\rm \% S=\frac{.62}{.76} \times 100 \\\\ \% S=82\%[/tex][tex]% STATICS = \frac{.62}{.76} \times 100 \\\\ % STATICS = 81.5 \%[/tex]

Sixty-two percent of all freshmen at a nearby community college take both Statistics and English. If 76 percent of freshmen take Statistics,

Hence, the percentage of freshmen who take English is 82 percent.

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Answer:

its c 20% on e2020

Step-by-step explanation:

The predicted percentage of games won for a team with these statistics is approximately 60.025%.

To address the given questions, we'll use the provided estimated regression equation:

[tex]\[ \hat{y} = 60.5 + 0.319x_1 - 0.241x_2 \][/tex]

where:

- [tex]\( \hat{y} \)[/tex] is the predicted percentage of games won,

- [tex]\( x_1 \)[/tex] is the average number of passing yards obtained per game on offense,

- [tex]\( x_2 \)[/tex] is the average number of yards given up per game on defense.

a. To predict the percentage of games won for a team that averages 225 passing yards per game on offense [tex](\( x_1 = 225 \))[/tex] and gives up an average of 300 yards per game on defense [tex](\( x_2 = 300 \))[/tex], we'll substitute these values into the regression equation:

[tex]\[ \hat{y} = 60.5 + 0.319(225) - 0.241(300) \][/tex]

[tex]\[ \hat{y} = 60.5 + 71.775 - 72.3 \][/tex]

[tex]\[ \hat{y} = 60.5 - 0.525 \][/tex]

[tex]\[ \hat{y} = 60.025 \][/tex]

Therefore, the predicted percentage of games won for a team with these statistics is approximately 60.025%.

Complete question:

In exercise 24, an estimated regression equation was developed relating the percentage of games won by a team in the National Football League for the 2011 season (y) given the average number of passing yards obtained per game on offense (x1) and the average number of yards given up per game on defense (x2). The estimated regression equation was y = 60.5 + 0.319x1 - 0.241x2.

Predict the percentage of games won for a particular team that averages 225 passing yards per game on offense and gives up an average of 300 yards per game on defense.

Answer:

1

Step-by-step explanation:

All the numbers provided can have a factor of 1.

eg.)

1*24=24

1*14=14

1*21=21

This is because there is only one factor they all commonly share, 1.

Answer:

The answer is 1.

Step-by-step explanation:

Nothing else divides into the numbers other than 1.

Hope this helped!!

Answer:

Length l = 15 - 2x = 15 - 2(1.5) = 12.00 in

Breadth b = 7 - 2x = 7 - 2(1.5) = 4.00 in

Height h = x = 1.50 in

Step-by-step explanation:

The volume of a box can be written as;

V = l×b×h

Where;

Length = l

Breadth = b

Height = h

Let x represent the length of the cube cut out of the four edges.

Using the attached image;

Length l = 15 - 2x

Breadth b = 7 - 2x

Height h = x

Substituting the values to the volume equation;

V = (15-2x)(7-2x)(x)

V = 105x - 30x^2 - 14x^2 + 4x^3

V = 105x - 44x^2 + 4x^3

At Maximum volume, V' = dV/dx = 0

V' = 105 - 88x + 12x^2 = 0

Solving the quadratic equation, we have;

x = 5.83 or x = 1.50

x cannot be 5.83 since 2x > 7 (greater than the breadth of cardboard)

Therefore ;

Length l = 15 - 2x = 15 - 2(1.5) = 12.00 in

Breadth b = 7 - 2x = 7 - 2(1.5) = 4.00 in

Height h = x = 1.50 in

Answer:

Similie

Step-by-step explanation:

A similie is a comparison using like or as

An idiom however is a group of words established by usage as having a meaning not deducible from those of the individual words

reading this statement, its saying "Her eyes shone as bright as the sun"

the caparison is between her eyes and the bright sun

therefore making this a similie

Hope this helps

stay safe:))))

brainliest is appreciated :))

Based on the information given, the expression is a simile.

In this case, "Her eyes shone as bright as the sun" is an example of a simile. The eyes were compared to the sun.

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Answer:

(1) 240-8Q=0240−8Q=0  (2) 225 (3) it is very necessary that the direct elasticity of demand for a product at a price from several buyers be different significantly;  so that customers are easily known, that further goods resale by buyers is not possible

Step-by-step explanation:

Solution

Given that:

(1) TR=∫MR=250Q−4Q  

Pr=TR-TC=250Q-4Q² - 10Q=240Q−4Q²  

Thus,

Pr   =240−8Q

240-8Q=0240−8Q=0

(2) Q=30

Now,

p=250-4 * 30=130

p=100

so.

100=250−4Q

Q=37.5

Pr=240×37.5−4×37.5²

=3375

Hence,

ΔPr=3600−3375=225

(3) For the execution of price discrimination by a monopolist, it is very important that the direct elasticity of demand for a product at a price from different buyers be remarkably different; so that  customers are easily known, that further goods resale by buyers is not done.

The formula is (4*pi/3)*r^3, so 256*pi/3 cubic units = 268.08  cubic units. {whatever units r is in}

Answer:

(256/3)pi

Step-by-step explanation:

(4/3)(pi)(r^3) =

(4/3)(pi)(4^3) =

(4/3)(pi)(64) =

(256/3)pi

Answer:

f(x) + g(x)  =  -2x^2 - 2x + 8

Step-by-step explanation:

Given:  f(x) = 3x+5 and g(x) = -2x^2-5x+3

Find  f(x) + g(x)

f(x) + g(x)  = 3x + 5 + (-2x^2 - 5x + 3)

f(x) + g(x)  =  5 + -2x^2 - 2x + 3

f(x) + g(x)  =  -2x^2 - 2x + 8

Answer:

  (f+g)(x) = -2x^2 -2x +8

Step-by-step explanation:

(f+g)(x) = f(x) +g(x)

  = (3x +5) +(-2x^2 -5x +3)

(f+g)(x) = -2x^2 -2x +8

Answer:

2000*24%=680\

Step-by-step explanation:

Answer:

x intercept (3/7, 0) or (0.429, 0)

y intercept (0, -3)

Step-by-step explanation:

Answer:

We conclude that 50% of the accidents would be caused by drunk driving.

Step-by-step explanation:

We are given that the NSC claimed that 50% of the accidents would be caused by drunk driving.

A sample of 120 accidents showed that 67 were caused by drunk driving.

Let p = percentage of the accidents caused by drunk driving.

So, Null Hypothesis, [tex]H_0[/tex] : p = 50%      {means that 50% of the accidents would be caused by drunk driving}

Alternate Hypothesis, [tex]H_A[/tex] : p [tex]\neq[/tex] 50%      {means that % of the accidents that would be caused by drunk driving is different from 50%}

The test statistics that would be used here One-sample z proportion statistics;

                    T.S. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of accidents caused by drunk driving = [tex]\frac{67}{120}[/tex] = 0.56

           n = sample of accidents = 120

So, test statistics  =  [tex]\frac{0.56-0.50}{\sqrt{\frac{0.56(1-0.56)}{120} } }[/tex]  

                              =  1.324

The value of z test statistics is 1.324.

Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to our null hypothesis.

Therefore, we conclude that 50% of the accidents would be caused by drunk driving.

Answer:

  1353 ft

Step-by-step explanation:

The cliff height and the distance from its base to the boat form the legs of a right triangle. The cliff height is the leg opposite the elevation angle, and the distance to the boat is the leg adjacent. Given these two legs of the triangle, the tangent relation seems useful:

  Tan = Opposite/Adjacent

We want to find the cliff height (opposite), so we can multiply this equation by Adjacent:

  Opposite = Adjacent×Tan

  cliff height = (2994 ft)(tan(24°19')) ≈ 1353 ft

The cliff is about 1353 feet high.

Answer:

27 dollars

Step-by-step explanation:

On one side he had 175

One the other side he has 6 books and 13 dollars

175 = 6b+13

Subtract 13 from each side

175 -13 = 6b+13-13

162 = 6b

Divide each side by 6

162/6 = 6b/6

27 = b

Each book is 27 dollars