find the point(s) on the plane x−2y z = 3 where x2 4y2 2z2 is minimum. ans

Answer:

44-34= 10+89=99 marbles

Step-by-step explanation:

Answer:

99

Step-by-step explanation:

Answer:

5:3 = 5/3

Step-by-step explanation:

Given Sin∅ = 3/5

We know sin∅ = Perpendicular/Hypotenuse

And, By inverse relationship, we get

cosec∅ = Hypotenuse/Perpendicular = 1/sin∅

So, csc∅ = 5/3, 5:3

a)The probability that both A and B occur is 0.72 and b)A and B are not mutually exclusive and c)A and B are independent.

a) We have given that events a and b are independent and =pa0.8 and =pb0.9. Now, to find PA and B, we use the formula, P(A and B) = P(A) x P(B).P(A and B) = P(A) x P(B) = (0.8) x (0.9) = 0.72.

Hence, the probability that both A and B occur is 0.72.

(b) A and B cannot be mutually exclusive because if they were, the probability of their intersection would be 0. However, as we have already calculated, P(A and B) = 0.72.

Therefore, A and B are not mutually exclusive.

(c) As we have already mentioned, the events A and B are independent, which means that the occurrence of one event does not affect the probability of the other event.

We can also verify this using the formula, P(A and B) = P(A) x P(B). If we substitute the given probabilities in this formula, we get:

P(A and B) = P(A) x P(B)(0.8) x (0.9) = 0.72

This is the same value we got for P(A and B) earlier. Hence, we can say that A and B are independent.

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The sum of x and y i.e (x+y) is equal to 23

When two diagonals of a parallelogram bisect each other. Each diagonal bisects the parallelogram into two congruent triangles. The Sum of the square of all the sides of a parallelogram is equal to the sum of the square of its diagonals.

This implies that line uz = wz, and vz= tz

therefore 3y+6= 2x equation 1

since vt = 78

5y-1= 78-(5y-1) equation 2

5y-1= 78-5y+1

collecting like terms,

5y+5y= 78+1+1

10y= 80

divide both sides by 10

y= 80/10

y= 8

substituting 8 for y in equation 1

3×8+6= 2x

24+6= 2x

30= 2x

divide both sides by 2

x= 30/2= 15

therefore the sum of x and y = 15+8= 23

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Answer:

Step-by-step explanation:

Formula

The sin(A) =  opposite / hypotenuse

Givens

Opposite = CB = 11

Hypotenuse = AB = 61

Solution

Sin(A) = 11/61

Sin(A) = 0.1803

Answer

Sin(A) = 11/61

Sin(A) = 0.1803

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:

a

Step-by-step explanation:

The expression is simplified in the radical form will be √(9⁵). Then the correct option is D.

If the power of the variable "a" is b/c.

Then the simplest radical form of the expression will be

\(\rm \left ( a \right )^{\rm \frac{b}{c}} = \rm \sqrt[\rm c]{\rm a^b}\)

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

\(\rightarrow (9)^{5/2}\)

Convert the expression into a radical form, then we have

\(\rightarrow (9)^{5/2}\)

→ √(9⁵)

The expression is simplified in the radical form will be √(9⁵). Then the correct option is D.

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The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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Answer:

y = -7/2x +17

Step-by-step explanation:

First, lets put the original equation into slope intercept form which is y=mx+b

7x + 2y = -8

subtract 7x on both sides

2y = -7x -8

divide by 2 on both sides

y = -7/2x - 8/2

y = -7/2x - 4

now we can plus in any x and y values to get a new b, which is our y intercept.

lets use (4,3)

Also, since they are parallel, their slope (m) will be the same.

y = -7/2x + b

3 = -7/2(4) + b

3 = -14 + b

b = 17

lets plug in our new b into our original equation

y = -7/2x + 17

The value of [y] = 7 and that of [x] = 6.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a equation that represents a line as -

7x + 2y = - 8

We can write -

7x + 2y = - 8

2y = - 7x - 8

y = (-7/2)x - 4

Options are not given, so the line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8

Therefore, line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8

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Answer:4

Step-by-step explanation:

20 times 8 =$160 which is the total price for all copies

$160:34=4.7....$ but you can't make 0.7... of copy, so we don't count it. You can make 4 copies for $34

600 élèves :

On sait que 7/30+1/6 ne font pas partie des 400 élèves qui possèdent téléphone portable et ordinateur . 7/30+1/6=12/30=2/5 mais parmi ces élèves figurent ceux qui n'ont ni l'un, ni l'autre. Ils font donc partie des 2/5 qui viennent d'être dénombrés

Il faut donc les retrancher, sinon ils seraient comptés deux fois

donc le nombre n'ayant ni l'un ni l'autre est : 2/5-1/15=5/15=1/3

Par conséquent 2/3 ont unt téléphone et un ordinateur

Comme ces 2/3 correspondent à 400 élèves, le nombre total d'élèves interrogés sera donc de 400*3/2=600 élèves.

Answer:he sum is 3x+6, which is equal to 108. Thus . If you plugged in 38 as the largest number, then the previous even integer The sum of three consecutive even integers equals 72.  Therefore, the largest value is n + 3, or 11. .Let x be the smallest of the four integers. We can add the terms together and set it equal to 32

can i plz have brainleist

Step-by-step explanation:

Based on the hypothesis test, we fail to reject the null hypothesis that the standard deviation of hole diameter is less than or equal to 0.02 mm. Therefore, there is not enough evidence to indicate that the standard deviation of hole diameter exceeds 0.02 mm.

To test whether there is strong evidence to indicate that the standard deviation of hole diameter exceeds 0.02 mm, we can use a hypothesis test.

Let's assume that the hole diameter measurements follow a normal distribution. Then, the null hypothesis is that the standard deviation of the hole diameter, σ, is less than or equal to 0.02 mm

H0: σ ≤ 0.02

The alternative hypothesis is that the standard deviation of the hole diameter is greater than 0.02 mm

Ha: σ > 0.02

We can use a chi-square distribution with n-1 degrees of freedom to test this hypothesis. The test statistic is calculated as

χ2 = (n-1) × s^2 / σ^2

where s is the sample standard deviation, σ is the hypothesized population standard deviation (0.02 mm), and n is the sample size (15).

Plugging in the numbers, we get:

χ2 = (15-1) × 0.016^2 / 0.02^2 ≈ 4.08

The corresponding p-value for this test statistic can be found using a chi-square distribution with 14 degrees of freedom. Using a calculator or statistical software, we find that the p-value is approximately 0.931.

Since the p-value is much greater than the significance level (α = 0.05), we fail to reject the null hypothesis. There is not enough evidence to conclude that the standard deviation of hole diameter exceeds 0.02 mm.

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Between 2 seconds and 2.5 seconds, the rock hits the ground after it is dropped.

What are distance and time?

As you can see at 2s the height of the rock is 0.4m and at 2.5s it is -10.6m, which tells us that in between these values the height would have been 0m, as the movement of the rock is uniform in direction and hence, the rock will hit the ground between 2s and 2.5s.

The rock hits the ground between 2 seconds and 2.5 seconds after it is dropped.

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A chi-square test of independence is indeed a one-tailed test. The reason for this is that we are testing whether the observed frequencies of two categorical variables are significantly different from the expected frequencies.

We square the deviations between the observed and expected frequencies, and since deviations can only be positive, the test statistic always lies at or above zero. Hypothesis tests are one-tailed when dealing with sample data because we have a specific direction for our research question. In the case of a chi-square test of independence, we are interested in whether one variable is dependent on the other variable, so we have a directional hypothesis. Furthermore, the chi-square distribution is positively skewed, meaning that the majority of the distribution is on the right-hand side. This is important to consider when interpreting the results of a chi-square test.

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Answer:

\(5x^{x}\)

Answer:

There would be 42 teachers

Step-by-step explanation:

You would divide 840 divided by 20 and you get 42.

I hoped this helped :)

Answer:

r>3 or r >-2

Step-by-step explanation:

The option that is the better deal between both deals for apples, is 8 apples for $9.25.

The better deal on the apples would be the deal that gives the lower amount per apple. This means that the deal that leads to each individual apple having a lower price is the deal that should be considered best.

To find the price of an apple, you would need to divide the price of the deal given, by the number of apples in the deal.

The first deal would therefore have a per apple price of :

= Price of deal / Number of apples

= 6. 25 / 5 apples

= $ 1. 25 per apple

The second deal would be :

= Price of deal / Number of apples

= 9. 25 / 8 apples

= $ 1. 16 per apple

The better deal is therefore 8 apples for $9.25.

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Answer:

A random sample is meant to be an unbiased representation of the larger population.

a) The fraction of people who survived the crash is 38.38%. The code used to find this is:```{r}load("titanic_as.RData")mean(titanic_as$Survived)```

b) The summary statistics for the variable Age are:```{r}summary(titanic_as$Age)```The mean age is 30.19 years, the median age is 27 years and the standard deviation is 14.59 years.

c) The summary statistics for the variable Age only for those passengers who survived the crash are:```{r}summary(titanic_as$Age[titanic_as$Survived == 1])```

The mean age of those who survived is 28.34 years, the median age is 28 years and the standard deviation is 15.01 years.

d) Histogram for the variable Sex:```{r}hist(titanic_as$Sex, main = "Histogram of Sex", xlab = "Sex", ylab = "Frequency", col = "purple", border = "white")``` Histogram for the variable Sex, but only for those who survived: ```{r}hist(titanic_as$Sex[titanic_as$Survived == 1], main = "Histogram of Sex for those who survived", xlab = "Sex", ylab = "Frequency", col = "purple", border = "white")```

e) In the entire ship, the proportion of males is greater than the proportion of females. However, among those who survived, the proportion of females is higher than the proportion of males. This can be seen from the two histograms.

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Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

I understand that you want a concise explanation with the main answer in the last two lines. The term you're looking for is the calculation that involves dividing the estimated coefficient (b) by its estimated standard error (SEb). This computation is used in statistical analysis to determine the significance of a variable in a regression model.
In a regression analysis, the coefficient represents the slope of the line, showing the relationship between the independent and dependent variables. The standard error of the coefficient (SEb) is an estimate of the variability of the coefficient. By dividing b by SEb, we get a statistic that helps us assess the precision and significance of the estimated coefficient.
Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

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In given expressions no one is equivalent to the expression -3 [4 × -0.50]

Given,

The expression : -3 [4 × -0.50]

We have to find the expression equivalent to the above expression from the given options.

Solve the expression:

-3 [4 × -0.50] = -3 × -2 = 6

Now we can solve the expressions given in the options:

1) -12 × -1.50 = 18

Not equal to the given expression

2) -12 × 1.50 = -18

Not equal to the given expression

3) -12 × -2.50 = 30

Not equal to the given expression

4) -12 × -3.50 = 42

Not equal to the given expression

So, we can conclude that, there is no equivalent expression in the options for the expression -3 [4 × -0.50]

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Answer:15

Step-by-step explanation:

Because you do the distance equation

The new triangle A'B'C' is formed by translating triangle ABC 666 units to the right and 222 units down. The new coordinates for the points are A' (664, -219), B' (669, -221), and C' (667, -225).

Based on the information provided, we have a triangle ABC with point A at (-2, 3), point B at (3, 1), and point C at (1, -3). We are asked to translate this triangle to create a new triangle A'B'C' by moving it 666 units to the right and 222 units down.

To translate a figure on a coordinate plane, we add or subtract the same value to each coordinate. In this case, we will add 666 to the x-coordinate and subtract 222 from the y-coordinate.

For point A:
Original x-coordinate: -2
Translated x-coordinate: -2 + 666 = 664
Original y-coordinate: 3
Translated y-coordinate: 3 - 222 = -219

So, the new coordinates for point A' are (664, -219).

Similarly, we can find the new coordinates for points B' and C' by applying the same translation.

For point B:
Original x-coordinate: 3
Translated x-coordinate: 3 + 666 = 669
Original y-coordinate: 1
Translated y-coordinate: 1 - 222 = -221

So, the new coordinates for point B' are (669, -221).

For point C:
Original x-coordinate: 1
Translated x-coordinate: 1 + 666 = 667
Original y-coordinate: -3
Translated y-coordinate: -3 - 222 = -225

So, the new coordinates for point C' are (667, -225).

In summary, the new triangle A'B'C' is formed by translating triangle ABC 666 units to the right and 222 units down. The new coordinates for the points are A' (664, -219), B' (669, -221), and C' (667, -225).

Please note that the properties of the triangle (such as side lengths, angles, and orientation) remain unchanged during translation.

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The translation of triangle abc to triangle a'b'c' retains the original triangle's side lengths, angles, and orientation. The new points for triangle a'b'c' can be found by adding 6 to the x-values and subtracting 2 from the y-values of triangle abc's points, resulting in A'(4,1), B'(9,-1) and C'(7,-5).

In a translation, the distance and orientation between points within the shape are conserved. So, the properties that remain unchanged in the translation of △abc to △a'b'c' are the side lengths, the angles, and the orientation.

So, the new points are A'(-2+6, 3-2), B'(3+6, 1-2), and C'(1+6, -3-2), which simplifies to A'(4,1), B'(9,-1), and C'(7,-5).

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