Sabrina works at the penguin exhibit in the Bronx Zoo. She has 90 fish that she wants to split evenly among 30 penguins. How many fish should she feed each penguin?

Answer:

1/5 is the answer eeeeeeeeeeeeee

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

  C.  The graph of g is the graph of f shifted 2 units down

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

represents a translation h units right and k units up.

You have h=0 and k=-2, so the graph is shifted 0 units right and 2 units the opposite of up.

The graph of g is the graph of f shifted 2 units down.

Answer:

C

Step-by-step explanation:

I just took the test on edmentum

Answer: 15268.1403 unit^3 (unit: cm,m,mm)

Step-by-step explanation:

volume of a cone= 1/2*pi*r^2*h

r= radius (unit: cm,m,mm)

h= perpendicular height (unit: cm,m,mm)

volume= 1/2*pi* (9)^2* 120 = 15268.1403 unit^3

Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3 from point D′ map quadrilateral ABCD onto EFGH.

The properties of quadrilaterals are;

From the information given, we can see that;

ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3

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Using trigonometric identities, the given expression, tan(x) × cos(x), simplified to a single trigonometry is sin(x)

From the question, we are to simplify the given trigonometric expression

From the given information

The given expression is

tan(x) × cos(x)

From trigonometric identities, we know that

tan(x) = sin(x) / cos(x)

Now,

Substituting this value in the given expression

tan(x) × cos(x)

We get

sin(x) / cos(x) × cos(x)

Simplifying further

sin(x) / cos(x) × cos(x) = sin(x)

Hence,

The simplified expression is sin(x)

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Answer:

Hi! The answer to your question is A. \(-5\)

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

The slope of the line represented by the equation y= -2/3 - 5x is -5.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have,

y= -2/3 - 5x

We know from slope intercept form

y= mx + b

Where m is the slope and b is the y intercept.

Now, Comparing with given equation we get

m = -5 and b= -2/3

Thus, the slope of line is -5.

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Answer:

2:3

Step-by-step explanation:

5 in total as you subtract the dudes

Note that \(\displaystyle \Big (\frac{9}{4} \Big )^{1/2}\) is the same as \(\sqrt{\frac{9}{4}}=\frac{\sqrt{9}}{\sqrt{4}}=\frac{3}{2}\).

Hope this helps.

Answer: Hello your question is poorly written attached below is the complete question

answer:

0.1515

Step-by-step explanation:

Number of bets = 200

mean number of losses  = $0.2

Standard deviation = $2.74

Determine P ( winning after 200 bets )

Average of 200 bets > 0.  i.e. P( X > 0 )

considering normal distribution : μ = -0.2 , б = 2.74 , n = 200

applying Z - distribution

z = 0 - ( - 0.2 ) / ( 2.74 / √200 ) ≈ 1.03

∴ P ( z > 1.03 ) = 1 - P ( z < 1.03 )

                       = 1 - 0.8485  ( value gotten from z-table )

                       = 0.1515

Answer:

No, the Normal/large sample condition is not met. A confidence interval assumes that the underlying population follows a normal distribution and that the sample size should be at least 30. Since the sample size in this case is only 10, the Normal/Large Sample condition is not met and the conditions for constructing a confidence interval are not met.

Answer:

The differential equation is  \(\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]\)

Step-by-step explanation:

From the question we are told that

     The number of students are \(n = 7000\)

      The number of student that have contracted the flu is  x(t)

The number of student that don't have the flu is mathematically represented as

      \(z = 7000 - x(t)\)

The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as

         \(\frac{dx(t)}{dt} \ \ \ \alpha\ \ \ x(t) [7000 - x(t)]\)

=>     \(\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]\)

x

Step-by-step explanation:

Answer:

yes because every time x changes y changes the same amount

Step-by-step explanation:

The measure of the supplementary angles are 34.3 and 145.7 degrees.

Supplementary angles are those angles that sum up to 180 degrees.

In other words, two angles are Supplementary when they add up to 180 degrees.

Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.

Hence,

let

x = measure of the other angle

x + x + 111.4 = 180

2x + 111.4 = 180

subtract 111.4 from both sides

2x + 111.4 - 111.4 = 180 - 111.4

2x = 68.6

divide both sides by 2

x = 68.6 / 2

x = 34.3

Other angle  = 34.3 + 111.4 = 145.7°

Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.

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Answer: (6,0)

Coordinate points are always written in pairs of the x- and y-coordinate: (x, y). Knowing this, the point would need to have a y-value of 0 in order to lie on the x-axis (otherwise, it would be on a random spot on the grid). The only coordinate point with a y-value of 0 is (6, 0). Therefore, the coordinate point (6, 0) lies on the x-axis.

Please refer to the attached graph below to see all the coordinate points.

Answer:

1

Step-by-step explanation:

Answer:$72.81

Step-by-step explanation:470.21 yen/6.4651.

Also, logically, you will know for $1, you have about 6.4 yen, for $2 you have about 12.9 yen, etc... So you will always have much less US dollars than yen, so without even doing math you could have eliminated the first three.

Answer:

there are no values of x that make the equation true

no solution

Step-by-step explanation:

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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The function is an exponential growth function

The function is given as

y=2(1.06)^9

We can begin by rewriting the given equation as:

y = 2 * 1.06t

So, we have

y = 2 * (1 + 0.06)^t

Now we can see that the equation is in the form y = a*b^t,

where a = 2 and b = 1.06^9

This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.

We can re-write it in the form y = a(1+r)t,

we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.

so we have y = 2(1+0.06)^t

So, the equation represents exponential growth with a = 2 and r = 0.06

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The point - slope form of the equation of line is, \(y-1=\frac{2}{3}x-\frac{2}{3}\).

The slope - intercept form of the line is,\(y=\frac{2}{3} x+\frac{1}{3}\).

What is point - slope form and slope - intercept form of the line?

Point-slope form is represented as y -  y 1 = m (x - x 1), where (x 1, y 1) is the supplied point and m is the given slope. The variables "x" and "y" remain.

Y = mx + b, where m is the slope and b is the y-intercept, is the equation's slope-intercept form.

The given points are (-2, -1) and (1, 1).

First to find the slope m of the line by using the given points.

\(m = \frac{y_2-y_1}{x_2 -x_1} = \frac{1-(-1)}{1-(-2)} = \frac{2}{3}\)

Now to find the point slope form of the equation of line.

Consider, m = 2/3 and the point(1, 1)

So,

\(y-y_1=m(x-x_1)\\y-1 = \frac{2}{3}(x-1)\\ y-1=\frac{2}{3} x -\frac{2}{3} \\\)

This is the point slope form of the equation of line satisfying the given condition.

Next, to find slope - intercept form of the line.

Consider,

 \(y-1=\frac{2}{3}x-\frac{2}{3}\\ y=\frac{2}{3}x -\frac{2}{3} +1\\ y=\frac{2}{3}x+\frac{1}{3} \\\)

This is the slope - intercept form of the equation of line.

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Rational Function: any function that is found by a rational fraction.

Its form: \(\frac{1}{x}\)

Finding Zeros of  a Rational Function:

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

   2. Find restrictions by equating the denominator to 0

\(x-5=0\)                \(x-3=0\)      when x=-5 and 3, the function is undefined

\(x=-5\)                   \(x=3\)

  3. Set the numerator equal to zero

\(x-3=0\)              \(x+2=0\)  

\(x=3\)                    \(x=-2\)

Be careful - since we have x-3 on both the numerator and denominator the graph will not intersect the x-axis at that point. This is what is called a removable discontinuity.

Therefore, the only zero occurs at (-2,0)

Answer:

52.63% probability that thids intial repair was made by the first technican

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

\(P(B|A) = \frac{P(B)*P(A|B)}{P(A)}\)

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Incomplete repair

Event B: Made by the first technican.

The first technican, who services 40% of the breakdowns, has 5% chance of making incomplete repair.

This means that \(P(B) = 0.4, P(A|B) = 0.05\).

Probability of an incomplete repair:

5% of 40%(first technican) or 3% of 60%(second technican). So

\(P(A) = 0.05*0.4 + 0.03*0.6 = 0.038\)

Given that there is a problem with the production line due to an incomplete repair, what is the probability that thids intial repair was made by the first technican

\(P(B|A) = \frac{0.4*0.05}{0.038} = 0.5263\)

52.63% probability that thids intial repair was made by the first technican

Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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Answer:

0.14

Step-by-step explanation:

Answer: 1331

Step-by-step explanation:

11^3 = 121 * 11 = 1331

Answer:

106 million tons

Step-by-step explanation:

Plastic takes up 24%, metal 8%, and 'other trash' 21%. Add those up and you get that those three take up a total of 53%. Now multiply 200 by 53% and you have 106 million tons.