Graph the function.
y=4x2 - 3
Choose the correct graph on the right

Ans12 is 1 13 is 5 3 is 6

Step-by-step explanation:

The figures below are similar.  By using this, the perimeter of the smaller rectangle P₂ = 3 cm.

When applying a scale factor, similar shapes are enlarged versions of one another. All of the corresponding angles and lengths in related shapes are equal and in the same ratio.

We divide the length of the enlarged shape by the length of the original shape to calculate the length scale factor.

The ratio of perimeter of both shapes is same as the ratio their corresponding side.

Given that one side of shape 1 is 4 cm and its perimeter P₁ is 12 cm.

and the corresponding side of shape 2 is 1 cm.

comparing the sides and perimeter of both shapes we get

4cm/1cm = 12cm/P₂

by cross multiplication we get,

4 * P₂ = 12cm * 1

P₂ = 12cm/4

P₂ = 3cm

So the perimeter of the smaller rectangle P₂ = 3 cm.

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The range for the rod will be  11.218  - 11.812 feet

Given,

A factory has a machine that makes steel rods. The length of the rods that the machine makes feet.

Mean, μ = 11.5 feet

Standard deviation, σ = 0.3

The factory manager does not want to use the rods from the bottom 20% and the top 15%.

We have to find the length of the rods that the machine makes follows a normal distribution curve.

Here,

The factory manager doesn't want percentile 0-20 and percentile 85-100.

Here,

We have to know the z score of percentile 20 and 85.  

Z-score of percentile 20 is -0.94, then the calculation will be :  

x=  11.5 feet+ 0.3 feet × z-score  

x=  11.5 feet+ 0.3 feet × (-0.94)

x=  11.5 feet-  0.282 feet

x=  11.218 feet  

Z-score of percentile 85 is +1.04 then the calculation will be :  

x=  11.5 feet+ 0.3 feet × z-score  

x=  11.5 feet+ 0.3 feet × 1.04

x=  11.5 feet+ 0.312 feet  

x=  11.812 feet

Therefore,

The range for the rod will be  11.218  - 11.812 feet

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The 95% confidence interval for the population mean is between 16.696 hours and 20.504 hours.

To find the 95% confidence interval for the population mean, you'll need to use the following formula:

Confidence Interval = Mean ± (Critical Value × Standard Deviation / √Sample Size)

In this case, the mean is 18.6, the population standard deviation is 6.8, and the sample size is 49 eighth graders. For a 95% confidence interval, the critical value is 1.96 (which is the Z-score for a 95% confidence interval).

Now, plug the values into the formula:

Confidence Interval = 18.6 ± (1.96 × 6.8 / √49)

Calculating the values:

Confidence Interval = 18.6 ± (1.96 × 6.8 / 7)

Confidence Interval = 18.6 ± (1.96 × 0.9714)

Confidence Interval = 18.6 ± 1.904

Now, find the lower and upper limits of the confidence interval:

Lower Limit = 18.6 - 1.904 = 16.696
Upper Limit = 18.6 + 1.904 = 20.504

So, the 95% confidence interval for the population mean is between 16.696 hours and 20.504 hours.

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Step-by-step explanation:

you do know that the sum of all angles in a triangle is always 180° ?

so,

3u + 6u - 18 + u + 18 = 180

10u = 180

u = 18

Following this algorithm will generate random variables X1, X2, and X3 with the given multivariate distribution and covariance matrix.

1. Define the mean vector and covariance matrix:
  - Mean vector (µ): [E[X1]=1, E[X2]=2, E[X3]=3]
  - Covariance matrix (Σ): Provided in the question (not given in this case, so you would need to plug in the matrix values)

2. Perform a Cholesky decomposition of the covariance matrix:
  - Find a lower triangular matrix L such that Σ = LL^T, where L^T is the transpose of L.

3. Generate three independent standard normal random variables:
  - Let Z1, Z2, and Z3 be standard normal random variables (mean=0, variance=1).

4. Transform the standard normal random variables:
  - Compute X = µ + LZ, where X = [X1, X2, X3], µ is the mean vector, L is the lower triangular matrix from step 2, and Z = [Z1, Z2, Z3].

5. Extract the random variables X1, X2, and X3 from the transformed vector X.

Following this algorithm will generate random variables X1, X2, and X3 with the given multivariate distribution and covariance matrix.

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Answer:

The answer is B

Step-by-step explanation:

No, the Y-intercept should not be zero. As we know pencil has two parts: the outer core and the writing core (inner core).

The real-word quantity which the y-intercept represents is C. The weight of the pencil once it has been sharpened all the way.

The outer core or painted part is made up of wood which we cut through sharper.

The inner core is made up of graphite through which we write.

So when the whole pencil will be cut we will have this writing core(lead). Y-intercept is the weight of the writing core when the whole pencil has been sharpened (The length and weight of the painted part outer core is 0).

So the 3rd option is correct.

Y-intercept represents the weight of the pencil when it has been sharpened all the way.

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Answer:

1)60

2)7

Step-by-step explanation:

1)The square root of 3600 is 60. It is the positive solution of the equation x2 = 3600. The number 3600 is a perfect square.

2)The cube root of 343 is the number which when multiplied by itself three times gives the product as 343. Since 343 can be expressed as 7 × 7 × 7. Therefore, the cube root of 343 = ∛(7 × 7 × 7) = 7.

Answer:

Step-by-step explanation:

Note that 3600 can be rewritten as (60)(60) and that the square root of (60)(60) is 60.  Thus, the square root of 3600 is 60.

Dividing 343 by 7 yields (7)(49), which factors further into (7)(7)(7).

The cube root of (7)(7)(7) is 7.

Answer:

Option C 20

GOOD LUCK FOR THE FUTURE! :)

The null hypothesis would be H0: p <= 0.25 and the alternative hypothesis would be Ha: p > 0.25

The null hypothesis represents the default assumption that there is no significant difference between the proportion of high school couples who believe they will marry their high school sweetheart and the researcher's claim that more than 25% of high school couples believe they will marry.

The alternative hypothesis represents the claim that the researcher wants to test, which is that the proportion of high school couples who believe they will marry their high school sweetheart is greater than 25%.

So, the null hypothesis would be:

H0: p <= 0.25 (where p is the proportion of high school couples who believe they will marry their high school sweetheart)

The alternative hypothesis would be:

Ha: p > 0.25 (where p is the proportion of high school couples who believe they will marry their high school sweetheart)

The researcher would then use statistical methods to test if the sample data provide enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

the one that looks like a paper clip

Step-by-step explanation:

Answer:  Alice

Step-by-step explanation:

See attached table. Divide Miles by the bnumber of days to yield miles/day.  Alice wins at 3.5 miles/day.

\(\\ \sf\longmapsto \dfrac{4x+2}{x-9}=\dfrac{3}{5}\)

\(\\ \sf\longmapsto 5(4x+2)=3(x-9)\)

\(\\ \sf\longmapsto 20x+10=3x-27\)

\(\\ \sf\longmapsto 20x-3x=-27-10\)

\(\\ \sf\longmapsto 17x=-37\)

\(\\ \sf\longmapsto x=\dfrac{-37}{17}\)

Answer:

\(\frac{4x+2}{x-9}\) = \(\frac{3}{5}\)

5( 4x+ 2 ) = 3 ( x-9 )

20x + 10 = 3x - 27

20x -3x = -27 -10

17x = -37

x = - 37/17

The next day they will drive for about 5.5 hours

In given question, Vijay's house is 544 miles from the resort.

after 3 hours of driving, they stop and spend the night at a hotel and  then complete the rest of the trip on the second day.

Let in 3 hours of driving, they completed the 'x' miles of distance from their home.

So, they complete the rest of the trip of 544 - x miles on the second day.

Let t be the time in hours they drive on the second day.

Their average speed is 64 miles per hour.

⇒ 64 = [x + (544 - x) ] / [3 + t]

⇒ 64 = 544 / 3 + t

⇒ 64(3 + t) = 544

⇒ 192 + 64t = 544

⇒ 64t = 352

⇒ t = 5.5 hours

Therefore, The next day they will drive for about 5.5 hours

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Answer:  x = 6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

4x + 5 = 6x - 7

     -5           -5

4x = 6x - 12

-6x   -6x

-2x = -12

/-2    /-2

x = 6

Answer:

a couple different obes

Step-by-step explanation:

there are five

Answer:

bbbbbbbbbbbb

...........

.........

Answer:  

T=78 feet (Tennis court)

360 feet (Football Filed)

Step-by-step explanation:

4T+48 = T+282

The length of the football field is 360 feet.

The length of the tennis court is 78 feet.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The length of a football field including the end zones is 48 feet longer than four times the length of a tennis court.

And,  It is also 282 feet longer than a tennis court.

Let the length of the tennis court = x

So, The length of the football field = 48 + 4x

Here, The length of the football field is 282 feet longer than a tennis court.

So, We get;

⇒ 48 + 4x = 282 + x

⇒ 4x - x = 282 - 48

⇒ 3x = 234

⇒ x = 78

Thus, The length of the football field = 48 + 4x

                                                         = 48 + 4×78

                                                         = 48 + 312

                                                          = 360 feet

The length of the tennis court = x

                                              = 78 feet

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Answer:

Step-by-step explanation:

If there is two  - signs you make it a positive

Answer:

Step-by-step explanation:

To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

x = 5/4   or   x = 15/4

Step-by-step explanation:

Answer:

4th option

Step-by-step explanation:

f(x) = x² + 8x + 1

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 8x

f(x) = x² + 2(4)x + 16 - 16 + 1

    = (x + 4)² - 15 ← in vertex form

Answer:

1) 2 × 2 × 5 × 7 + 9 -7×1 = 142

2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142

3) 2 × 9² - 7 - 7 - 5 - 1 = 142

4) 2 × 7² + 9 + 7 × 5 × 1 = 142

Step-by-step explanation:

1) 2 × 2 × 5 × 7 + 9 -7×1 = 142

Multiply 2 by 2 by 5 by 7 add to 9 then subtract 7 multiplied by 1

2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142

Multiply 9 by 7 by 2 by 7 add to 5 multiplied by 2 then add to 7 and subtract 1

3) 2 × 9² - 7 - 7 - 5 - 1 = 2 × 9² - (7 + 7 + 5 + 1) = 142

Multiply 2 by 9 raised to the power of 2 then subtract  the sum of 7, 7, 5 and 1

4) 2 × 7² + 9 + 7 × 5 × 1 = 142

Multiply 2 by 7 raised to the power of 2 then add 9 and add 7 multiplied by 5 multiplied by 1.

there are two solutions:

a) y = \(\frac{-6+2\sqrt{6} }{5}\)

b) \(y = \frac{-6-2\sqrt{6} }{5}\)

Answer:

it's A

Step-by-step explanation:

Trust me I got the question right on the quiz

Answer:

The function that represents the number of students, S, in the school district after n years is S=12000(0.95)^nS=12000(0.95)

n

Original population , P = 12000

Rate of decline, r = 5%

r = 5/100

r = 0.05

The number of years = n

The population of students after n years will be given by the formula:

S =P(1-r)^nS=P(1−r)

n

Substitute r = 0.05 and P = 12000 into the formula above

\begin{gathered}S=12000(1-0.05)^n\\\\S=12000(0.95)^n\end{gathered}

S=12000(1−0.05)

n

S=12000(0.95)

n

The function that represents the number of students, S, in the school district after n years is S=12000(0.95)^nS=12000(0.95)

n

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The statistical measurement that informs a CTRS about how well the assessment results compare to what is being measured is Construct validity.

Construct validity assesses how well the assessment measures the intended construct or trait, and compares the results to other tests or measures of the same construct to determine how accurate and reliable the assessment is.

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Answer:

Mean: 868.5

Median: 189

Step-by-step explanation:

Answer:

189 median

868.5 mean