A miniature yorkshire terrier one of the smallest dogs may weigh only 700 g. but a st. bernard the heaviest dog could easily weigh 76 kg. Find the difference in the weight of the two dogs in kilograms. what is tge difference in the dogs weights

Answer:

Apple Pie = 66.67%

Cherry Pie = 16.67%

Peach Pie = 16.67%

A possible distribution of pie percentages could be 66.67% apple, 16.67% cherry, and 16.67% peach.

Step-by-step explanation:

Let's assume that the bakery has 1 peach pie. Then, according to the problem statement, the bakery has 4 apple pies.

So, the total number of pies is 1 + 4 + 1 = 6.

To find the percentage of each type of pie, we need to divide the number of each type of pie by the total number of pies and multiply by 100%.

Percentage of apple pies: (4/6) x 100% = 66.67%

Percentage of cherry pies: (1/6) x 100% = 16.67%

Percentage of peach pies: (1/6) x 100% = 16.67%

Therefore, a possible distribution of pie percentages could be 66.67% apple, 16.67% cherry, and 16.67% peach.

It is important to note that this is just one possible distribution based on the information given in the problem. If we were given different information, such as the total number of pies, the percentages could be different.

To test the CEO's claim about the mean wait time we need to conduct a hypothesis test.

The null hypothesis is that the mean wait time is no more than 7 minutes, which we can represent as H0: μ ≤ 7. The alternative hypothesis is that the mean wait time is greater than 7 minutes, which we can represent as Ha: μ > 7. We can use a one-tailed t-test for this situation, with a significance level of alpha = 0.05.

To perform the t-test, we need to calculate the sample mean, sample standard deviation, and the t-statistic. The sample mean is the sum of the wait times divided by the sample size, which is 36 in this case. The sample standard deviation is a measure of the dispersion of the data. The t-statistic is calculated using the sample mean, sample standard deviation, and the hypothesized mean wait time of 7 minutes.

Once we have calculated the t-statistic, we can compare it to the critical value from the t-distribution table to determine the p-value. If the p-value is less than alpha, we can reject the null hypothesis and conclude that the mean wait time is indeed greater than 7 minutes. If the p-value is greater than alpha, we cannot reject the null hypothesis and must conclude that the mean wait time is no more than 7 minutes.

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Option A : The lines that best approximate the directrices of the ellipse are x= -4.6 and x = 4.6, which are the closest to x = -5 and x = 5.

The directrices of an ellipse are lines that are equidistant from the two foci. In this case, the foci of the ellipse are located at (-5,0) and (5,0). The distance between the foci is 2c, where c is the distance from the center to a focus, and can be found using the equation \(c^2 = a^2 - b^2\), where a and b are the lengths of the major and minor axes, respectively.

From the given diagram, we can see that the length of the major axis is 10 and the length of the minor axis is 8. Therefore, a = 5 and b = 4. The value of c can be found as follows:

\(c^2 = a^2 - b^2\)

\(c^2 = 5^2 - 4^2\)

\(c^2 = 9\)

c = 3

Therefore, the directrices are the vertical lines that pass through (-5,-3) and (5,-3) and are equidistant from the foci. These lines are given by x = -5 and x = 5.

Therefore, the lines that best approximate the directrices of the ellipse are A. x= -4.6 and x = 4.6, which are the closest to x = -5 and x = 5.

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Which lines best approximate the directrices of the ellipse? Round to the nearest tenth.

A. x= -4.6 and x = 4.6

B. x = -3.5 and x = 3.5

C. y=-4.6 and y = 4.6

D. y = -3.5 and y = 3.5

Answer:

B. 13 units

Step-by-step explanation:

let

(x1 , y1) = (-4 , -6)

(x2 , y2) = (1 , 6)

distance between CD = root (x2 - x1)^3 + (y2 - y1)

= root {1 - ( -4)}^2 + {6 - ( -6)}^2

= root {1 +4}^2 + {6+6}^2

= root 5^2 + 12^2

= root 25 + 144

= root 169

= 13 units ans

Answer: No it is not

Answer:

look at the picture i have attached and tell me what you think???

Step-by-step explanation:

parallel is two lines that go like this \\ or like this =

perpendicular is two lines that go like this +

which is it?

Answer:

they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2

Given statement solution is :- The actual length of the part is 3751/64 inches.

To find the length of the actual part, you can use the scale factor and the length of the part on the drawing. The formula for finding the actual length is:

Actual Length = Length on Drawing × Scale Factor

In this case, the length on the drawing is given as 3 7/8 inches, and the scale factor is given as 15 ¹/8. Let's calculate the actual length:

Length on Drawing = 3 7/8 inches = (3 × 8 + 7) / 8 = 31/8 inches

Scale Factor = 15 ¹/8

Now we can substitute the values into the formula:

Actual Length = (31/8 inches) × (15 ¹/8)

To perform the multiplication, we can convert the mixed fraction into an improper fraction:

15 ¹/8 = (15 × 8 + 1) / 8 = 121/8

Now we can multiply the fractions:

Actual Length = (31/8) × (121/8)

To multiply fractions, we multiply the numerators together and the denominators together:

Actual Length = (31 × 121) / (8 × 8)

Actual Length = 3751 / 64

Therefore, the actual length of the part is 3751/64 inches.

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Answer:

[ -10,4]

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Cant be C because one of them is undefined.

Cant be A because 2 is greater than -4

can't be B because -1/3 is closer to 0 than -1/6

can't be E because -8 is closer to 0 than -34

D is all in order.

Answer:

d

Step-by-step explanation:

because I'm tired and tried trying to dosn hem

Answer:

25% were knives

Step-by-step explanation:

Answer:

(5*85)/4-(7-4)

425/4-(7-4)

425/4-3

106.25-3

103.25

It is not 47.

Answer:

(3, 8)

Step-by-step explanation:

x² - 6x - y + 17 = 0

x² - 6x = y - 17

x² - 6x + 9 = y - 17 + 9

(x - 3)² = y - 8

The vertex is (3, 8)

The vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).

To complete the square and find the vertex of the parabola given by the equation x² - 6x - y + 17 = 0, we can follow these steps:

1. Rearrange the equation: Move the constant term (17) to the other side of the equation by subtracting it from both sides. This gives us x² - 6x - y = -17.

2. Group the x-terms together: Rearrange the equation so that the x-terms are next to each other. This gives us x² - 6x = y - 17.

3. Complete the square: Take half of the coefficient of x (-6) and square it. Add this value to both sides of the equation. Half of -6 is -3, and (-3)² is 9. So we add 9 to both sides: x² - 6x + 9 = y - 17 + 9.

4. Simplify the equation: On the left side, the expression x² - 6x + 9 can be factored as (x - 3)². On the right side, -17 + 9 simplifies to -8. So the equation becomes (x - 3)² = y - 8.

5. Rewrite the equation in vertex form: The vertex form of a parabola is (x - h)² = 4p(y - k), where (h, k) represents the vertex of the parabola. Comparing this with our equation, we have (x - 3)² = y - 8, which matches the vertex form.

6. Identify the vertex: By comparing the equations, we can see that the vertex of the parabola is at the point (h, k) = (3, 8).

Therefore, by completing the square, we have found that the vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).

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If a parallelogram is (x + 5) cm long and (x-8) cm wide. The perimeter is: 4x - 6 cm.

The length of all four sides of a square constitutes its perimeter whereas the circumference of a circle which is also known as the perimeter is the distance around it.

One pair of opposite sides lengths are determined by (x + 5) cm and the other pair's length is determined by (x - 8) cm.

Let x represent the  perimeter P of the parallelogram:

P = 2(x + 5) + 2(x - 8)

Simplify

P = 2x + 10 + 2x - 16

P = 4x - 6

Therefore  we can conclude  that the perimeter  of x is 4x - 6 cm.

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The complete question is:

A parallelogram is (x+5)cm long and (x-8)cm wide. Find the perimeter of the parallelogram.

The measure of angle 1 is given as follows:

m < 1 = 42º.

To obtain the measure of angle 1 in the kite, we must consider that the consecutive angles are complementary, that is, the sum of their measures is of 90º.

Relative to angle 1, we have that:

m < 4 + m < 1 = 90º.

For the bottom left triangle, the internal angle measures are given as follows:

Considering that the sum of the measures of the internal angles of a triangle is of 180º, the measure of angle 4 is obtained as follows:

m < 4 + 42 + 90 = 180

m < 4 = 58º.

Then the measure of angle 1 is obtained as follows:

m < 1 = 90 - 58

m < 1 = 42º.

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Answer:

C. QR = 2 • PR

Step-by-step explanation:

According to given information we can draw a right triangle with angle measures as follows :

30-60-90 and for this special right triangle the side length would follow as:

The side length that sees angle measure 30 = a

The side length that sees angle measure 60 = a\(\sqrt{3}\)

The side length that sees angle measure 90 = 2a

following this information the:

PR(sees 30 degrees) = a (can be represented as PR in this case)

and so

QR(sees 90 degrees) = 2a (2*PR  in this case)

PQ(sees 60 degrees) = a\(\sqrt{3}\) (\(\sqrt{3}\) *PQ in this case)

The correct option is C. QR = 2 • PR

Step-by-step explanation:

\(72 - 4x = 48 \\ 72 = 48 + 4x \ \\ 72 - 48 = 4x \\ 24 = 4x \\ 24 \div 4 = x \\ 6 = x \)

The Dividend per Shareholder in 2017 is $20.

As, Dividend per Shareholder = Profit / Number of Shareholders

Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.

Based on the given table, the profit for 2017 is $7,000.

Dividend per Shareholder in 2017

7000/x = 15500 / 44.29

7000/x = 349.966

x = 7000/349.966

x= 20.01

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Answer:

F

needed points

Answer: -7 is the y intercept

Step-by-step explanation:

Trigonometry deals with the application of some functions so as to determine the value of a quantity. The height of the tree is 5.96 m.

The given question can be solved by the application of some trigonometric functions. Let distance from the tip of the shadow of the tree to where Aria stands be represented by s, so that;

s = 16.35 - 12.1

  = 4.25 m

s = 4.25 m

Also, let the angle formed by the line from the tip of the tree with the tip of the shadow be θ, so that;

Tan θ = \(\frac{opposite}{adjacent}\)

          = \(\frac{1.55}{4.25}\)

          = 0.3647

θ = \(Tan^{-1}\) 0.3647

  = 20.037

θ = \(20.04^{o}\)

The height, h, of the tree can be determined by;

Tan \(20.04^{o}\) = \(\frac{h}{16.35}\)

h = Tan \(20.04^{o}\) x 16.35

  = 5.9638

h = 5.96 m

Thus, the height of the tree is 5.96 m.

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Answer:

The area of the rhombus is

Step-by-step explanation:

=1/2×product of diagonal

OR,

=1/2×d1×d2

Answer:

THE AREA OF RHOMBUS IS

Step-by-step explanation:

=1/2×d1×d2

=1/2× product of diagonal.

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Only the first statement is false. The rest are true statements about the Central Limit Theorem.

The Central Limit Theorem (CLT) is a fundamental theorem in probability and statistics which states that, given a sufficiently large sample size from a population with a given mean and standard deviation, the sampling distribution of the mean will be nearly normal, regardless of the shape of the original population distribution.

It is important to note that the first statement presented is false. Taking more samples from the population will not necessarily result in a more normal sampling distribution. The CLT does not guarantee that the sampling distribution will be normally distributed, only that it is more likely to be so as the sample size increases.

The second statement is true. If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. The third statement is also true. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.

Finally, the fourth statement is also true. The CLT states that the sampling distribution will be centered at the true population parameter. This means that the mean of the sampling distribution will be equal to the mean of the population.

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Answer:

z-1/-3

Step-by-step explanation:

z-1=-3a

z-1/-3=a

Answer: n=

−z2−5

z

Step-by-step explanation:

Let's solve for n.

(−n)(z)−z2−2=3

Step 1: Add z^2 to both sides.

−nz−z2−2+z2=3+z2

−nz−2=z2+3

Step 2: Add 2 to both sides.

−nz−2+2=z2+3+2

−nz=z2+5

Step 3: Divide both sides by -z.

−nz

−z

=

z2+5

−z

Answer:

-z^2-5z

Step-by-step explanation:

To evaluate a polynomial at a given value, we substitute the given value for the variable and then simplify using order of operations. We are given n=3, so we substitute 3 for n in the polynomial −nz−z2−2z and simplify as follows.

−nz−z2−2z

−(3)z−z2−2z

−3z−z2−2z

−z2−5z

Answer:

\(m=-\frac{1}{2}\)

Step-by-step explanation:

\(\Delta y=-1,\,\Delta x=2\\\rightarrow \frac{\Delta y}{\Delta x}=\frac{-1}{2}=-\frac{1}{2}\)

\(\Delta\) represents change in both variables, so we calculate the slope this way.

Answer:

m=-1/2

Step-by-step explanation:

Use slope formula: \(m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\)

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

9514 1404 393

Answer:

  711 square millimeters

Step-by-step explanation:

Assuming your B and H are the base and height of the relevant triangle, the numbers can be put into the area formula to find ...

  A = 1/2BH

  A = (1/2)(90 mm)(15.8 mm) = 711 square millimeters