The diameters of cherry tomatoes produced by a large farm have an approximately Normal distribution, with a

mean diameter of 22 mm and a standard deviation of 2. 5 mm. After they are picked and washed, tomatoes with a

diameter of at most 15 mm or at least 30 mm are rejected and not sold. What proportion of such tomatoes are

rejected?

Find the z-table here.

O 0. 0033

O 0. 0201

O 0. 9799

O 0. 9967

Answer: 1

Step-by-step explanation: Fractions are the same as division, so what this is really saying is 8 ➗ 8 which is 1.

Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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Answer:

To be honest with you it would more likely be more easier to divide first

The reason to that is because dividing is harder then subtracting and if your subtract second it would just be easier

Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

\(\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0\)

On subtracting the given equations we have,

\(\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3 \)

Put this value in any equation , we have ,

\(\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5 \)

Hence the lines will Intersect at ,

\(\implies\underline{\underline{ Point=(-1.5, 3)}}\)

for the first one x = 1/2 y-3" and y = 2 x + 6 and for the other one is x =  − 3 /2  y+ 3  and y= − 2 /3  x + 2

how i did this Step 1: Add -3y to both sides.

Step 2: Add 6 to both sides.

Step 3: Divide both sides by 2.

Maureen should have added 60 to both sides.

is the answer ^^

Answer:

She had$46

Step-by-step explanation:

b+(-60)=-14

add 60 on both sides

b=46

Somehow my answer got deleted so I had to answer this again.

The correct statement is c. The Adjusted R-squared is a measure used in multiple regression analysis that is between 0 and 1. It is different from the R-squared value in simple linear regression.

The Adjusted R-squared can decrease if the addition of another X regressor does not sufficiently lower the sum of squared residuals (SSR) relative to the impact of increasing the number of predictors (k). It measures the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size, rather than the ratio of the sum of squared residuals to the total sum of squares. It provides a measure of how well the regression model fits the data, and it ranges between 0 and 1. A value closer to 1 indicates that a higher proportion of the variance in the dependent variable is explained by the predictors.

Adding another X regressor to the multiple regression model can impact the Adjusted R-squared. If the additional regressor does not significantly contribute to reducing the sum of squared residuals (SSR) relative to the increase in the number of predictors (k), the Adjusted R-squared can decrease. This means that the added regressor does not improve the model's ability to explain the variance in the dependent variable adequately.

However, the Adjusted R-squared does not directly measure the ratio of the sum of squared residuals to the total sum of squares. Instead, it represents the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size. It penalizes models with a large number of predictors that may overfit the data, thereby providing a more reliable measure of the model's goodness of fit.

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Answer:

(1) P (z > 1.38) = 0.08379

(2) P (z < - 0.42) = 0.33724

(3) P (z < 3.04) = 0.99882

(4) P (z > -2.43) = 0.00755

Step-by-step explanation:

(1)

Compute the value of P (z > 1.38) as follows:

\(P(z>1.38)=1-P(z<1.38)\\=1-0.91621\\=0.08379\)

(2)

Compute the value of P (z < -0.42) as follows:

\(P(z<-0.42)=1-P(z<0.42)\\=1-0.66276\\=0.33724\)

(3)

Compute the value of P (z < 3.04) as follows:

\(P(z<3.04)=0.99882\)

(4)

Compute the value of P (z > -2.43) as follows:

\(P(z>-2.43)=1-P(z<2.43)\\=1-0.99245\\=0.00755\)

The Direct Comparison Test is used to determine the convergence or divergence of a series by comparing it with another series whose convergence behavior is known.

First, let's consider the absolute value of the terms in the series: |8sin(n)|. Since the maximum value of sin(n) is 1, the maximum value of |8sin(n)| is 8. Therefore, we have:

0 ≤ |8sin(n)| ≤ 8

Now, let's compare our series with the series ∑(8), which is a constant series. The constant series ∑(8) diverges because it's the sum of an infinite number of nonzero terms (8 + 8 + 8 + ...). Since 0 ≤ |8sin(n)| ≤ 8, if the larger series (∑(8)) diverges, then our given series ∑(8sin(n)) must also diverge according to the Direct Comparison Test.

So, the series ∑(8sin(n)) diverges.

To use the Direct Comparison Test, we need to find another series that is either greater than or less than the given series and whose convergence or divergence is known.

Since the absolute value of sin(n) is always less than or equal to 1, we can say that |8sin(n)| ≤ 8 for all n. Therefore, we can use the comparison series 8/n^2 since it is also a convergent series.

Now, we can use the Direct Comparison Test:

8/n^2 ≥ |8sin(n)| for all n

Since the series 8/n^2 converges, we can conclude that the series 8 sin(n) also converges by comparison.

Therefore, the series 8 sin(n) converges.

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Answer:

The circumcenter of a triangle is a point that is equidistant from all three vertices. The circumscribed circle is a circle whose center is the circumcenter and whose circumference passes through all three vertices.

Step-by-step explanation:

We can conclude that the circumcenter of a triangle is equidistant from the three vertices of the triangle.

The circumcenter of a triangle can be said to be a point where all three perpendicular bisectors of the sides of the triangle intersect. At this point, all three vertices of the triangle are equidistant.

This means that, each vertices are far from the circumcenter at equal distance.

Therefore, we can conclude that the circumcenter of a triangle is equidistant from the three vertices of the triangle.

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Answer:

50 percent

Step-by-step explanation:

because sally was tried yesterday and went 25 percent faster today.

Answer:

a. subtract 5x to both sides

Step-by-step explanation:

In order to solve for a variable, you have to isolate it. Since, we are solving for y, the first thing we need to do is put 3y alone on one side of the equation.

Because 5x is being added to 3y, we can undo this by subtracting 5x from both sides.

Answer:

5671.30

Step-by-step explanation:

periods = 5 years quarterly = 20 periods

 interest per period  .0335/4     (4 periods per year)

   initially 4800

FV = future Value = 4800 ( 1 + .0335/4)^20 = 5671.30

Answer:

(c) -4+i is conjugate of complex number i^3 – 4 is

Step-by-step explanation:

-4+i^3

=-4+(i^2)i

=-4+(-1)i

=-4-i

Conjugate of x+iy= x-iy

So, conjugate of -4-i= -4+i

Hope it helps :-)

The conjugate of a complex number is a complex number with the same real part, but a negated imaginary part. The conjugate of \(i^3 - 4\) is \(-4 + i\)

Let the complex number be N. So:

\(N = i^3 - 4\)

In complex numbers,

\(i = \sqrt{-1}\)

Take cube of both sides

\(i^3 = (\sqrt{-1})^3\)

Split

\(i^3 = (\sqrt{-1}) \times (\sqrt{-1}) \times (\sqrt{-1})\)

\(i^3 = -1 \times (\sqrt{-1})\)

Substitute \(i = \sqrt{-1}\)

\(i^3 = -1 \times i\)

\(i^3 = -i\)

So, we have:

\(N = i^3 - 4\)

\(N = -i - 4\)

Rewrite as:

\(N = -4 - i\)

A complex number a + bi has a- bi as its conjugate.

So, the conjugate of N is:

\(N' = -4 + i\)

Hence, (c) is correct

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The distance from home plate to second base is 180 feet, which is double the distance from home plate to first base.

A baseball diamond is a square with four bases, with home plate in the middle. 90 feet separate first base from home plate, and 90 more feet separate first base from second base. Therefore, the total distance from home plate to second base is twice that distance, or 180 feet. The same applies to all of the bases; the distance between them is always 90 feet, so the total distance from home plate to any base is twice that of the distance from home plate to first base. This means that the distance from home plate to second base, third base, and home plate is all 180 feet.

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It will take 2.32 years for Michael to reach USD 25000.

The interest one earns on interest is known as compound interest. In other words, the process of adding interest to a loan's or deposit's principal is known as compound interest.

The formula for compound interest calculation is given as,

\(A=P\left(1+\frac{r}{n}\right)^{nt}\)

Where,

Here, the compound interest (A) is USD 25000, r is 9.6%, n is 12 months (1 year), and P is USD 20000. Using these we have to find t,

\(\begin{aligned}20000\left(1+\frac{0.096}{12}\right)^{12t}&=25000\\20000(1.008)^{12t}&=25000\\1.008^{12t}&=1.25\\12t \ln{(1.008)} &=\ln{(1.25)}\\12t\times0.008&=0.223\\t&=\mathrm{2.32\;years}\end{aligned}\)

Therefore, the answer is 2.32 years.

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Answer:

5.82.384.8+9×8=8×99+8×6×8+9×

Answer: They are equivalent

Step-by-step explanation:

2.2x+3.8x=6x

5.5-4.1=1.4

The z-score is a measure of how many standard deviations a data point is from the mean. It can be calculated using the formula
z = (x - μ) / σ,
where x is the data point, μ is the mean, and σ is the standard deviation.

a. The z-score for a backyard structure costing $2300 can be calculated as follows:

z = (2300 - 3100) / 1200 = -800 / 1200 = -0.67

b. The z-score for a backyard structure costing $4900 can be calculated as follows:

z = (4900 - 3100) / 1200 = 1800 / 1200 = 1.

c. The z-score in part (a) is -0.67, which means that the backyard structure costing $2300 is 0.67 standard deviations below the mean. The z-score in part (b) is 1.5, which means that the backyard structure costing $4900 is 1.5 standard deviations above the mean. Neither of these z-scores are extreme enough to be considered outliers, as they are both within 2 standard deviations of the mean.

d. The z-score for the backyard shed-office combination costing $13,000 can be calculated as follows:

z = (13000 - 3100) / 1200 = 9900 / 1200 = 8.25

This z-score is much larger than 2, which means that the structure costing $13,000 is more than 8 standard deviations above the mean. This is an extreme value and should be considered an outlier.

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Answer:

-1.5

Step-by-step explanation:

Answer:

-1.5

Step-by-step explanation:

sorry if I'm wrong

Answer:

Nico has 25 and his mother has 0

Step-by-step explanation:

The opposite of -25 is 25 because -(-25)=25     (the negatives cancle out)

Thats why Nico has 25

The opposite of 0 is 0 because 0 is nothing, you cant have an opposite of negative 0 because that would still be 0

Thats why Nico's mother has 0

Answer:

it is option A hope it helps

The derivative of k(x) at x = 5 is equal to the sum of the products of each individual function's derivative with the remaining functions, and is equal to 195.

The derivative of a product of two or more functions is equal to the sum of the products of each individual function's derivative with the remaining functions.

Therefore, k'(5) = f'(5)g(5)h(5) + f(5)g'(5)h(5) + f(5)g(5)h'(5).

Substituting the given values of f(5), f'(5), g(5), g'(5), h(5), and h'(5) into the equation, we get:

k'(5) = (−4)(−6)(−5) + (3)(−9)(−5) + (3)(−6)(−3) = 6 + 135 + 54 = 195.

Thus, the derivative of k(x) at x = 5 is 195.

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To determine the area of this figure, we first need to identify its shape. From the given measurements, it appears to be a rectangle with two right-angled triangles on opposite corners.

Here are the steps to calculate the area:

1. Identify the base and height of the rectangle: The base is 5 km, and the height is 3 km.
2. Calculate the area of the rectangle: Area = base × height = 5 km × 3 km = 15 square kilometers.
3. Identify the base and height of the two right-angled triangles: Both triangles have a base of 1 km and a height of 1 km.
4. Calculate the area of one right-angled triangle: Area = 0.5 × base × height = 0.5 × 1 km × 1 km = 0.5 square kilometers.
5. Calculate the combined area of both right-angled triangles: 2 × 0.5 square kilometers = 1 square kilometer.
6. Add the area of the rectangle and the combined area of the triangles to get the total area: 15 square kilometers + 1 square kilometer = 16 square kilometers.

The area of the figure is 16 square kilometers.

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Answer:

D or A I think

Step-by-step explanation:

These are the best choices

Answer:

16 pounds

Step-by-step explanation:

you look at where x is 24 and y is equal to 16

hopes this helps please mark brainliest

The equation of the plane passing P (1,2,1) and orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is -3x-2y-z+8=0.

Equation of plane passing through (x1,y1,z1) is given by

A(x-x1)+B(y-y1)+C(z-z1)=0

where, A, B, and C are direction ratios

In the question, it is given that the plane passes through (1,2,1)

So, the equation of the plane will be in the form,

A(x-1)+B(y-2)+C(z-1)=0

It is also given that the plane is perpendicular to give 2 planes.

So, their normal to the plane would be perpendicular to the normal of both planes.

So, the required normal is a cross-product of the normals of planes

x-y-z-10=0 and x-2y+z-2=0

i.e,

-3i-2j-k=0

so, the direction ratios,

A=-3, B=-2, C=-1

putting the direction ratios in the previous equation of the plane,

-3(x-1)-2(y-2)-1(z-1)=0

-3x+3-2y+4-z+1=0

-3x-2y-z+8=0

is the required equation of the plane

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Answer:

(a) Slope of Line 1 = 3

    Slope of Line 2 = 3

    Slope of Line 3 = -1/3

(b)

Line 1 and Line 2 = Parallel

Line 1 and Line 3 = Perpendicular

Line 2 and Line 3 = Perpendicular

Step-by-step explanation:

Please mark as brainliest! Thanks! Hope this helps!

These descriptors can be classified as a geographic distribution, expressed mathematically as a percentage of the total population living within a certain radius or certain counties.

These descriptors can best be classified as a geographic distribution. Specifically, the 70% of season ticket holders within 30 miles of the stadium can be expressed mathematically as a percentage of the total population living within that radius. The equation for this would be:

P = (70/100) * T

Where P is the percentage of the total population living within 30 miles of the stadium, and T is the total population within that radius.

The 40% of season ticket holders living within three different counties can also be expressed mathematically as a percentage of the total population living within those counties. The equation for this would be:

P = (40/100) * T

Where P is the percentage of the total population living within the three counties, and T is the total population within those counties.

Therefore, these descriptors can be classified as a geographic distribution, expressed mathematically as a percentage of the total population living within a certain radius or certain counties.

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9514 1404 393

Answer:

Step-by-step explanation:

On a position-time graph, "does not move" means the position is a constant—a horizontal line.

"Positive velocity" means the position is increasing as time increases. The graph goes up to the right. The rate of change (slope) is the velocity.

"Negative velocity" means the position is decreasing as time increases. The graph goes down to the right. Again, the rate of change (slope) is the velocity.

The various sections of the graph are identified in the attachment.

the point (1,5), the curve is relatively flat with a small curvature of approximately 0.034. As x approaches 0, the curvature increases infinitely, indicating that the curve is becoming more and more sharply curved near the origin.

The curvature (k) of the function y =

\(5x^4\)

can be calculated using the formula k =

\(|f ″(x)| / [1 + (f ′(x))^2]^1.5\)

where f ′(x) and f ″(x) are the first and second derivatives of the function, respectively.

Taking the first derivative of y =

\(5x^4\)

yields f ′(x) =

\(20x^3\)

and taking the second derivative yields f ″(x) =

\(60x^2\)

Substituting these values into the curvature formula gives:

k =

\(|60x^2| / [1 + (20x^3)^2]^1.5\)

Simplifying this expression gives:

k =

\(|60x^2| / [400x^6 + 1]^1.5\)

The curvature at any point on the curve can be found by plugging in the value of x. For example, at x = 1, the curvature is: k =

\(|60(1)^2| / [400(1)^6 + 1]^1.5\)

k ≈ 0.034

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