If the smith children are served randomly how likely is it that the two oldest smith children are served before the others ?

Answer:

y=130°

Step-by-step explanation:

180-(90+40)

180-130

50°

y=180°-50°

=130°

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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Answer:

5: All triangles that share those three properties must be congruent.

6: All triangles that share those three properties must be congruent.

Hope this helps, have a great day :)

Answer:

Option (A)

Step-by-step explanation:

By the property of a parallelogram,

Opposite sides of a parallelogram are equal and parallel to each other.

AD = BC and DC = AB

9x - 40 = 8x - 34

9x - 8x = 40 - 34

x = 6

4y + 20 = 6x - 4

4y - 6x = -24

2y - 3x = -12

Now we will substitute the value of x,

2y = 3x - 12

2y = 3(6) - 12

2y = 6

y = 3

Therefore, Option (A) will be the correct option.

The value of x is 6 and y is 3.

Given that,

ABCD is a parallelogram in which sides of parallelogram are,

AB = 8x- 34, BC = 6x- 4

CD = 9x-40, AD = 4y+20

We have to find,

The value of x and y in a quadrilateral ABCD ?

According to the question,

By the property of a parallelogram,

The opposite sides of a parallelogram are equal and parallel to each other.

AD = BC

CD = AB

Substitute the values of AD and BC and solve for the value of x and y,

\(\rm 4y +20 = 6x -4 \\\\4y - 6x = -4 -20\\\\4y -6x = -24\\\\ Divide \ by \ 2 \ on \ both \ the \ sides\\\\ 2y - 3x = -12\)

And

\(CD = AB \\\\9x-40=8x-34\\\\9x-8x = 40-34\\\\x = 6\)

Substitute the value of x in equation 1,

\(2y-3x = -12\\\\2y - 3(6) = -12\\\\2y = -18=-12\\\\2y = -12+18\\\\2y = 6\\\\y = \dfrac{6}{2}\\\\y = 3\)

Hence, The value of x is 6 and y is 3.

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The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Solution

For this case we know that:

And we want to find h(8) -2f(3) so we can do this:

And:

and finally:

And the final solution would be -23

Answer:

Because -7 will be imaginary number .

Cross-multiplying, we have:1 x = 20 × 25x = 500Therefore, the actual width of the park is 500 feet, which is option C.

The newly proposed city park is rectangle shaped. Blake drew a scale drawing of the park and used a scale of 1 cm: 20 ft.

If the width on the scale drawing of the city park is 25 centimeters, what is the actual width of the park?

If the scale used is 1 cm: 20 ft, it means that 1 cm on the scale drawing represents 20 feet in the actual park.

Using proportions, the width of the park can be calculated as follows:1 cm : 20 ft = 25 cm : x f

twhere x is the actual width of the park.

because it includes an explanation of how to calculate the actual width of the park using proportions and cross-multiplication.

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The term that best describes the investment is $1,250 invested at 4% compounded interest. The Option A is correct.

We will use compound interest: A = P(1 + r/n)^(nt) formula to get the annual total investment. In this case, P = $1,250, r = 0.04, n = 1 and t = 1.

Plugging the values, we get:

A = 1250(1 + 0.04/1)^(1*1)

A = 1250(1.04)

A = $1,300

Therefore, term that best describes the investment is $1,250 invested at 4% compounded interest.

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Answer:

y = -3x + 5

First plot the y-intercept on the graph, then you go down/up based on the slope, in this case the slope is -3, so you go down three units and to the right 1 unit and then you will get your next point.

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

39 + 5d

Step-by-step explanation:

First multiply 5 by 9 and 5 by d then subtract 6 from 45 (which you get from multiplying 5 by 9) and you get 39 and multiply 5 by d so you get 39 + 5d

let's solve:-

\(⇒5(9 + d) - 6(given \: equation) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ ⇒by \: bodmas \: rule \: distribute \: 5 \: with \: 9 \: nd \: d \\ \\⇒ 45 + 5d - 6 (subtracting \: like \: terms) \: \: \: \: \: \: \: \: \\ \\⇒ 39 + 5d \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \)

The base is a square, so the area of the square is (10 cm)² = 100 cm²

To find the area of each triangle use the formula

base • height

10 cm • 9 cm = 90 cm²

now multiply by the number of triangles

90 cm • 4 = 360 cm²

Add the area of the square:

100 cm² + 360 cm² = 460 cm²

I hope it's correct

Answer:

SA = 280 cm²

Step-by-step explanation:

SA = area of base + area of 4 congruent triangles

     = 10² + (4 × \(\frac{1}{2}\) × 10 × 9 )

     = 100 + (2 × 10 × 9)

     = 100 + 180

     = 280 cm²

Answer:

The percentage decrease is -33.93%

Step-by-step explanation:

Firstly we check if there is an increase or decrease

Since we went from 5.5 million to 3.7 million, that is a decrease

Percentage decrease = (3.7 - 5.6)/5.6 * 100%

= -1.9/5.6 * 100% = -33.93%

The values of "s" that belongs to the solution set must be less than 28.5

The inequality that represents the statement 4 times "s" less than 112 is expressed as;

Divide both sides of the inequality expression by 4 as shown:

4s/4 < 114/4

s < 114/4

s < 28.5

Hence the values of "s" that belongs to the solution set must be less than 28.5

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Hey there!

2/5%

= 2/5

= 2 ÷ 5

= 0.40

= 0.40 × 100

= 40%

Therefore, your answer is: 40%

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Nolan stops reading at time 2:05 am.

To calculate this,  first, calculate the amount of time elapsed since he began reading. Since he started reading at a quarter to 11, then subtract 11:45 pm (a quarter to 12) from the time he began reading, which was 11:45 pm. This gave me an elapsed time of 0 hours and 15 minutes.  then added this elapsed time to the total time Nolan read, which was 3 hours and 5 minutes. This gave us a total elapsed time of 3 hours and 20 minutes. Finally, then added this total elapsed time to the start time of 11:45 pm. This gave me the result of 2:05 am as the time Nolan stopped reading.

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The double integral is used to calculate the area of a region enclosed by two curves.

The region is bounded by the curves x = 1, y = 0, x = 3 and y = \(3x2 - 9x2y2\). In this case, the double integral is given by the expression \(∫10∫312x3 - 9x2y2 dy dx.\)

In order to calculate the double integral, the iterated integral method is used. This involves integrating the inner integral with respect to y first, and then integrating the outer integral with respect to x.

The first step is to integrate the inner integral with respect to y. This gives us the expression \(∫0 3 (12x3 - 9x2y2) dy\). After integrating with respect to y, we then integrate the outer integral with respect to x. This gives us the expression \(∫10 ∫0 3 (12x3 - 9x2y2) dy dx.\)

The result of this double integral is the area of the region bounded by the two curves. The result of the double integral is therefore the area of the region bounded by the two curves. The result of the double integral is therefore the area of the region enclosed by the two curves. The result of this double integral is the area of the region bounded by the two curves.

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Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

Answer: These two lines are perpendicular.

Step-by-step explanation:

The slope of -2x+3y=11 is 2/3, and the slope of 6y=4-9x is -3/2. Since 2/3 and -3/2 are opposite reciprocals, their intersection of their lines is perpendicular, or 90 degrees.

Therefore , the solution of the given problem of ordered pair comes out to be the ordered pair (1, 1/2).

"Ordered pairs" are two separate variables that are arranged in a way that suggests a specific sequence. The coordinates for x and y in an order pair are represented, respectively, by the main and second components. The sample following uses close parentheses to indicate the ordered combination.

Here, The formulae are as follows:

=>y = -z + 2      ...(1)

=> y = -2x² + z + 1  ...(2)

Equation (1) can be substituted for equation (2) to find the value of z:

=> Z = x² + 1/2 - z + 2 = -2x² + z + 1

=> 2z = 2x² + 1

We can now enter this value of z into equation (1) and find the value of y:

=> y = -z + 2

=> y = -(x² + 1/2) + 2

=> y = -x² + 3/2

As a result, the equation system can be expressed as:

=> z = x² + 1/2

=> y = -x² + 3/2

When x=0:

=> z = 0² + 1/2 = 1/2

=> y = -0² + 3/2 = 3/2

Therefore, there is no answer for the ordered pair (0, 3/2).

When x=1:

=> z = 1² + 1/2 = 3/2

=> y = -1² + 3/2 = 1/2

The answer is the ordered pair (1, 1/2).

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Use the limit definition to find the slope of the tangent line to the graph of f at the given point. f(x) = 14 − x2, (3, 5)

The slope of the tangent line to the graph of f at (3, 5) is -6.

The slope of the tangent line to the graph of f at (3, 5) can be found using the limit definition of the slope. The slope of the tangent line can be calculated as the limit of the average rate of change of the function f(x) between two points as the distance between the points approaches zero. The formula is given by: lim _(h → 0) [f(x + h) - f(x)] / h

where h is the change in x, which is the difference between the x-value of the point in question and the x-value of another point on the tangent line. The given function is f(x) = 14 - x². To find the slope of the tangent line at x = 3, we need to calculate the limit of the average rate of change of f(x) as x approaches 3.

Using the formula,

lim_(h → 0) [f(x + h) - f(x)] / h

= lim_(h → 0) [(14 - (x + h)²) - (14 - x²)] / h

= lim_(h → 0) [14 - x² - 2xh - h² - 14 + x²] / h

= lim_(h → 0) [-2xh - h²] / h

= lim_(h → 0) [-h(2x + h)] / h

= lim_(h → 0) [-2x - h] = -2x

When x = 3, the slope of the tangent line is -2(3) = -6.

Therefore, the slope of the tangent line to the graph of f at (3, 5) is -6.

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Answer:

Step-by-step explanation:

x= -90 degrees

Answer:

x = 10√2

Step-by-step explanation:

Taking the cosine value of the given angle :

Answer:

Answer is 19 trust me

Step-by-step explanation:

Therefore, the probability of rolling at least one 3 is11/ 36.

Probability is a branch of mathematics that deals with the study of arbitrary events and their liability of circumstance. It involves the dimension and analysis of the liability of various events being. The probability of an event is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

In other words, probability is the measure of the liability of an event being. It's calculated as the rate of the number of favorable issues to the total number of possible issues. Probability plays an important part in various fields analogous as wisdom, engineering, finance, and statistics, and is used to model and predict issues of uncertain events.

a) The sample space of rolling two six- sided bones can be listed as follows, where each ordered brace represents the outgrowth of the two rolls

\({(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),\)

\((2,1), (2,2), (2,3), (2,4), (2,5), (2,6),\)

\((3,1), (3,2), (3,3), (3,4), (3,5), (3,6),\)

\((4,1), (4,2), (4,3), (4,4), (4,5), (4,6),\)

\((5,1), (5,2), (5,3), (5,4), (5,5), (5,6),\)

\((6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}\)

b) There are 6 possible issues where Lydia rolls couple of the same number (,1), (,2), (,3), (,4), (,5), and (,6). Since there are 36 total possible issues, the probability of rolling a brace of the same number is6/36, which simplifies to1/6.

c) To calculate the probability that at least one number will be a 3, we need to count the number of issues in which at least one bones shows a 3, and peak by the total number of issues. There are 11 issues in which at least one bones shows a 3(,1), (,2), (,4), (,5), (,6), (,3), (,3), (,3), (,3), (,3), and(,3). therefore, the probability of rolling at least one 3 is11/36.

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Answer:

A=32+2x

Step-by-step explanation:

A= Adriana's height

x= years since Adriana was 3 years old

A= 32+ 2x

Answer:

a and b are similar triangles

Answer:

A and B are similar.

Step-by-step explanation:

All three angles of a triangle add up to 180°.

C isn't like the others because if you add up 30 and 25, and subtract that from 180, it equals 125, and the angle on the other triangles are 135°.