If the number of containers, y, produced by a factory is proportional to the number of hours, x, the factory is open, which graph could represent the relationship?

We are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

The point estimate for the difference in proportions between France and the United States is:

p₁ - p₂ = (60/120) - (26/50) = 0.5 - 0.52 = -0.02

We can use the following formula to calculate the standard error of the difference in proportions:

SE = √(p₁ * (1 - p₁) / n₁ + p₂ * (1 - p₂) / n₂)

where n₁ and n₂ are the sample sizes.

SE = √((0.5 * 0.5 / 120) + (0.52 * 0.48 / 50))

SE = 0.0936

To construct a 90% confidence interval, we can use the formula:

(point estimate) ± (critical value) * (standard error)

The critical value for a two-sided 90% confidence interval with 169 degrees of freedom (calculated as df = (p₁ * n₁ + p₂ * n₂) / (p₁ + p₂)) can be found using a t-distribution table or calculator.

For a 90% confidence level, the critical value is approximately 1.656.

Using these values, the 90% confidence interval for the difference in proportions is:

-0.02 ± 1.656 * 0.0936

which simplifies to:

-0.1783 to 0.1383

Therefore, we are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

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Answer:

B and C i think

Step-by-step explanation:

The answer would be  a) With Replacement 16,807 points will be in the sample space if batteries are selected.

The sample space with replacement would be 7^5 = 16,807 points. This means that when selecting five batteries from a bag of seven with replacement, the total number of points would be 16,807. This is because each of the five batteries could potentially be from the same brand, so the sample space would include all 16,807 possibilities of the combination of 5 batteries from the 7 available.

B) Without Replacement: The sample space without replacement would be 7P5 = 21,053 points. This means that when selecting five batteries from a bag of seven without replacement, the total number of points would be 21,053. This is because each of the five batteries must be from a different brand, so the sample space would include all 21,053 possibilities of the combination of 5 batteries from the 7 available.

In conclusion, the sample space would have more points if the batteries are selected without replacement compared to when the batteries are selected with replacement. This is because when batteries are selected without replacement, each of the five batteries must be from a different brand, whereas when batteries are selected with replacement, the same brand could be chosen multiple times.

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Raj had 560 sheets of paper before printing his screenplay. Therefore, Raj had 560 sheets of paper before printing his screenplay.

Let's use the letter "x" to represent the number of sheets of paper Raj had before printing his screenplay.

Raj printed 22 copies of a 25-page screenplay, so he used:

22 copies x 25 pages per copy = 550 pages

Since each page uses one sheet of paper, he used 550 sheets of paper in total.

We also know that he had 10 sheets of paper left after printing, so:

x - 550 = 10

To solve for x, we add 550 to both sides of the equation:

x - 550 + 550 = 10 + 550

x = 560

Therefore, Raj had 560 sheets of paper before printing his screenplay.

Let's use the letter P to represent the unknown quantity, which is the number of sheets of paper Raj had before printing his screenplay.

Raj printed 22 copies of his 25-page screenplay, so he used 22 * 25 sheets of paper for printing. After printing, he had 10 sheets left. So, we can write the equation:

P - (22 * 25) = 10

Now let's solve the equation for P:

P - 550 = 10
P = 10 + 550
P = 560

So, Raj had 560 sheets of paper before printing his screenplay.

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Answer:

a). 0

Step-by-step explanation:

f(1) = 1 - 1

= 0

Answer:30%

Step-by-step explanation:

original amount-new amount/original amount

30-21/30

9/30

write as a percent

30% off

To solve such problems we need to know about the area of a rhombus.

\(\rm Area\ of\ rhombus &= \dfrac{(Diagonal_1 \times Diagonal_2)}{2}\)

As it is given that Each Rhombus will be 6 inches tall and 4 inches wide, therefore, the diagonals of the rhombus are 6 inches and 4 inches.

The paper needed for each rhombus =  Area of the rhombus

\(\begin{aligned}Area\ of\ rhombus &= \dfrac{(Diagonal_1 \times Diagonal_2)}{2}\\&=\dfrac{6 \times 4}{2}\\&= \dfrac{24}{2}\\&= 12\end{aligned}\)

Therefore, the paper needed for each rhombus is 12 square inches.

As it is we have got the area of the rhombus in. We need to change the wall length to the wall to inches.

1 foot = 12 inches

so,

11 feet = 11 x 12 = 132 in

As per the information given each rhombus is 4 inches wide, and we need to cover 132 in. to make the border of the wall. therefore,

\(\rm{Number\ of\ rhombus\ needed = \dfrac{Length\ of\ the\ wall}{Width\ of\ the\ rhombus}\)

                                             \(=\dfrac{132}{4}\\\\=33\)

Thus, a total of 33 rhombus are needed to cover the wall.

\(\rm{Total\ paper\ needed = Number\ of\ rhombus\ needed\ \times Area\ of\ rhombus\)

                              \(= 12 in.^2 \times 33\\= 396 in.^2\)

Therefore, the paper used by Juan is 396 square inches.

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Answer:12 396

Step-by-step explanation:

Answer:

4.4

Step-by-step explanation:

x / 4 = 11 / 10

x = ( 4 x 11 ) / 10

= 44 / 10

x = 4.4

Answer:

5

Step-by-step explanation:

To measure scale factors, you have to measure how much units apart each triangle is, and apply the same length to x on figure A.

Here is the equation I used:

10-4=6

11-6=5

Both triangles are 6 units in difference.

Answer:270,000

Step-by-step explanation:

i think

If an account has $32,000 and earns 11% interest compounded yearly, it will be worth $81,384.95 after 10 years.

This is calculated using the formula A = P(1 + r/n)^(nt),

where A is the final amount,

P is the initial amount,

r is the interest rate,

n is the number of times the interest is compounded per year, and t is the number of years.

In this case, P = $32,000, r = 0.11, n = 1 (compounded yearly), and t = 10.

Plugging these values into the formula,

we get A = $32,000(1 + 0.11/1)^(1*10) = $81,384.95.

Therefore, after 10 years, the account will be worth $81,384.95 with 2 decimal places due to the given information. It is important to note that compounded yearly typically results in higher returns compared to other compounding periods.

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Answer:

1/5 mile per hour

Step-by-step explanation:

Hope that helps!

Answer:

1/5

Step-by-step explanation:

Answer:

\(80\)° and \(10\)°

Step-by-step explanation:

Complementary angles are a pair of angles whose measures have a sum of \(90\)°. Therefore, if we let the measure of the bigger angle be \(x\), then the measure of the smaller angle will be \(x-70\) because we are given that the difference of the measures of the two angles is \(70\)°. We can write the following equation to solve for \(x\):

\(x+x-70=90\)

Solving for \(x\), we get:

\(x+x-70=90\)

\(2x-70=90\) (Simplify LHS)

\(2x-70+70=90+70\) (Add \(70\) to both sides of the equation to isolate \(x\))

\(2x=160\) (Simplify)

\(\frac{2x}{2}=\frac{160}{2}\) (Divide both sides of the equation by \(2\) to get rid of \(x\)'s coefficient)

\(x=80\) (Simplify)

Therefore, the measure of one angle is \(80\)° and the measure of the other angle is \(x-70=80-70=10\)°. Hope this helps!

We know, sum of complementary angles = 90°

Let, one of the angle = x°

∴ Another angle = (90 - x)°

As per condition,

(x°) - (90 - x)° = 70°

⇒ x° - 90° + x° = 70°

⇒ 2x° = 70° + 90° = 160°

⇒ x° = 80°.

So, angles are:-

Answer:

If there are 324 paving stones, it will cost $1539

Step-by-step explanation:

324 x 4.75 = 1539

Answer:

\(2a^2+14a\)

Step-by-step explanation:

\(2a*a = 2a^2\)

\(2a*7=14a\)

Add them up and thats your answer

Answer:

Total distance covered: 60x8 = 480

Speed needed to cover distance of 480 km in 6 hrs = 480/6 = 80 km/hr.

initial velocity : 60 km/hr.

Train needs to run faster with speed of 20km per hour to achieve same distance in 6 hrs.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the boundary of the critical region, given the type I error probability and sample size, we need to calculate the critical value using the standard normal distribution table and the formula for the sample mean.

The critical region is defined by the range of sample means that reject the null hypothesis, based on the given level of significance and the alternative hypothesis.

The critical region is the range of values of the test statistic that leads to rejection of the null hypothesis, based on a predetermined level of significance and the alternative hypothesis. To find the boundary of the critical region, we need to calculate the critical value using the standard normal distribution table and the formula for the sample mean. For a one-tailed test with alpha = 0.01 and n = 10, the critical value is 2.33, and the critical region is defined by the sample mean greater than 181.18. For a one-tailed test with alpha = 0.05 and n = 10, the critical value is 1.645, and the critical region is defined by the sample mean greater than 177.21. For a one-tailed test with alpha = 0.01 and n = 16, the critical value is 2.33, and the critical region is defined by the sample mean greater than 178.82. For a one-tailed test with alpha = 0.05 and n = 16, the critical value is 1.645, and the critical region is defined by the sample mean greater than 177.27. Therefore, the larger the sample size and the smaller the level of significance, the narrower the critical region and the higher the power of t

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Answer:

See Below

Step-by-step explanation:

You want to find AB.

They give the equation for AB, BC, and AC

AC - BC = AB

substitute the equations

(30) - (8x + 3) = 6x + 8

30 - 8x - 3 = 6x + 8

27 - 8x = 6x + 8

     +8x  +8x

27 = 14x + 8

-8            -8

19 = 14x

19/14 = 14x/14

1.3571428 = x

0.1 = tenth

1.4 = x

Substitute x into the equation for AB

6(1.4) + 8

16.4

 \(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)

______________________________

 \(\bold{Solution~Steps:}\)

\(1.)~First~you~need~to~make~an~equation:\)

\(2.)~Add~30~and~3~to~get~33:\)

\(3.)~Subtract~6x~from~both~sides:\)

\(4.)~Combine -8x~and~-6x:\)

\(5.)~Subtract~33~from~both~sides:\)

\(5.)~Divide~both~sides~by~-14:\)

\(6.)~Simplify:\)

\((To~Round~look~at~that~number~in~the~tenth~place:~7,\\~now~look~to~the~number~to~the~right:~8.~\\\\So~if~that~number~is~greater~than~or~equal~to~5,~then~you~round~up.\\If~that~number~is~less~than~or~equal~to~5,~then~you~round~down.)\)

______________________________

\(\bold{Answer:}\)

______________________________

\(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}\)

Answer:

3

Step-by-step explanation:

Here's the rundown of values:

12=9

9=6

6=3

3rd value=3

*The values are created through going through the numerical process.

\( \huge \boxed{Answer \hookleftarrow}\)

=》1² + 3²

=》1 + 9

=》10

Answer:

Below

Step-by-step explanation:

Value = 33000 ( .88)^t        each year, t , the value is only 88% ( or in decimal:  .88) of the prior year  ( 12 % decrease leaves 88% )

The dimensions of the vertical cross section of the prism is D = 5 in x 4 in

Given data ,

Let the prism be represented as A

Now , the value of A is

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Now , the length of the cross section of prism is L = 5 inches

And , the height of the cross section = height of the prism

where the height of the prism H = 4 inches

Hence , the dimension of the cross section is D = 5 in x 4 in

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Answer:

\(\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }\)

Step-by-step explanation:

hello,

\(2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2\)

hope this helps

Answer:

7.2

Step-by-step explanation:

a good method towards percentages in multiplying both numbers in this case 48 and 15 and then lowering the product by 2 decimal places

Therefore, all possible values of aa that satisfy the conditions are aa such that a<34a<43​.

To find all possible values of aa such that the quadratic equation ax2+(2a+2)x+a+3=0ax2+(2a+2)x+a+3=0 has two roots with a distance greater than 1 on the number line, we can use the discriminant.

The discriminant of a quadratic equation ax2+bx+c=0ax2+bx+c=0 is given by Δ=b2−4acΔ=b2−4ac. For the equation to have two distinct real roots, the discriminant must be greater than 0.

In our case, the discriminant is Δ=(2a+2)2−4a(a+3)=4a2+8a+4−4a2−12a=−4a+4Δ=(2a+2)2−4a(a+3)=4a2+8a+4−4a2−12a=−4a+4.

For the equation to have two distinct roots with a distance greater than 1, we want Δ>12Δ>12, which simplifies to −4a+4>1−4a+4>1.

Solving this inequality, we have −4a>−3−4a>−3, which leads to a<34a<43​.

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For a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at \(\frac{x+1}{2}\)

Given,

The conditions

We know,

Median is the middle number of ordered data set.

Consider the number of observations as x

Then the median is located at \(\frac{x+1}{2}\)

Hence, for a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at \(\frac{x+1}{2}\)

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Answer:

Tyler and llan scored 24 points.

Explanation:

Another way to state this problem is what is 48% of 50.

"Percent" or "%" means "out of 100" or "per 100", Therefore 48% can be written as

48

100

.

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

Finally, lets call the number we are looking for "n".

Putting this altogether we can write this equation and solve for n

while keeping the equation balanced:

n=48,100 × 50

n = 24,001,00

n= 24

Step-by-step explanation:

Answer:

The value of the line integral is 2(3√2 + 2).

Step-by-step explanation:

We can use Green's theorem for circulation to evaluate the line integral:

θ∫θ F · dr = ∬R ( ∂Q/∂x - ∂P/∂y ) dA

where F = (P, Q), R is the region bounded by the curve C, and the integral is over R.

First, we need to find the partial derivatives of P and Q:

∂P/∂y = 0

∂Q/∂x = y^2 + 2

Then, we can evaluate the double integral over the region R:

θ∫θ F · dr = ∫-2^(1/2)^(3/2) ∫y^2/2 -2x (y^2 + 2) dx dy

Evaluating the inner integral with respect to x, we get:

∫y^2/2 -2x (y^2 + 2) dx = (y^4/8 - y^2 - 2xy^2 - 4x)|y^2/2 -2x = (-9/8)y^2 - 8y^(5/2)/5

Then, evaluating the outer integral with respect to y, we get:

θ∫θ F · dr = ∫-2^(1/2)^(3/2) (-9/8)y^2 - 8y^(5/2)/5 dy

= (-9/24)(y^3)|-2^(1/2)^(3/2) - (8/7)(y^(7/2))|-2^(1/2)^(3/2)

= 2(3√2 + 2)

Therefore, the value of the line integral is 2(3√2 + 2).

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On average, 7th grade girls tend to be about 5 inches taller than 4th grade girls. The correct choice is the statement "On average, 7th grade girls tend to be about 5 inches taller than 4th grade girls" is true.

Explanation: Given the data for ten 4th grade girls and ten 7th grade girls with their heights recorded in inches, we need to determine whether the given statement is true or false. Here are the heights of 4th grade girls:57, 60, 53, 59, 54, 55, 59, 57, 56, 55.Here are the heights of 7th grade girls:63, 64, 65, 64, 69, 61, 65, 63, 67, 67.The average height of 4th grade girls is calculated as follows:

Total height of 4th grade girls = 57 + 60 + 53 + 59 + 54 + 55 + 59 + 57 + 56 + 55 = 565.

Average height of 4th grade girls = Total height of 4th grade girls / Number of 4th grade girls= 565 / 10 = 56.5.

So, the average height of 4th grade girls is 56.5 inches.

The average height of 7th grade girls is calculated as follows:

Total height of 7th grade girls = 63 + 64 + 65 + 64 + 69 + 61 + 65 + 63 + 67 + 67 = 658.

Average height of 7th grade girls = Total height of 7th grade girls / Number of 7th grade girls= 658 / 10 = 65.8.

So, the average height of 7th grade girls is 65.8 inches. On average, 7th grade girls tend to be about (65.8 - 56.5) = 9.3 inches taller than 4th grade girls.

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