The sum of three consecutive numbers is 18. Find the smallest number :-​

27 but 27 isn't there so do 26

Answer: A

Step-by-step explanation: because when dividing 58 into 1614 it equals 27.23 but the answer choice isn't there so i would choose 26

Answer:

Step 1:

The proportion of people who were caught after being on the 10 Most Wanted list can be estimated as:

(number of people caught) / (total number of suspected criminals)

Substituting the given values, we get:

169 / 434 ≈ 0.389 (rounded to three decimal places)

So the estimated proportion of people caught after being on the 10 Most Wanted list is 0.389.

Step 2:

To construct an 80% confidence interval for the population proportion of people caught, we can use the following formula:

p ± z* sqrt(p*(1-p)/n)

where p is the sample proportion, z* is the z-score corresponding to the desired confidence level (80% in this case), and n is the sample size.

Substituting the given values, we get:

0.389 ± 1.282 * sqrt(0.389*(1-0.389)/434)

Simplifying this expression, we get:

0.389 ± 0.049

Therefore, the 80% confidence interval for the population proportion of people caught is:

(0.340, 0.438)

Rounded to three decimal places, this becomes:

(0.340, 0.438)

Step-by-step explanation:

Answer: do you still need help

Step-by-step explanation:

The expression that can be used to find the volume of this rectangular prism is: (3 × 6) × 15 = 270 in.3

What is volume of prism?

The volume of a prism is the amount of space enclosed by the prism in three-dimensional space. A prism is a polyhedron with two parallel and congruent faces called bases. The volume of a prism can be calculated by multiplying the area of the base by the height of the prism.

The expression that can be used to find the volume of a rectangular prism is:

Volume = Length × Width × Height

In this problem, we are not given the dimensions of the rectangular prism, so we cannot directly calculate the volume. However, we are given some expressions that may help us calculate the volume if we can identify which one represents the correct dimensions.

The options are:

A. (6 × 3) + 15 = 33 in.3

B. (3 × 15) + 6 = 51 in.3

C. (3 × 6) + (3 × 15) = 81 in.3

D. (3 × 6) × 15 = 270 in.3

We can see that options A, B, and C do not represent the correct formula for finding the volume of a rectangular prism. Option D, on the other hand, correctly multiplies the length, width, and height to find the volume of the rectangular prism. Therefore, the expression that can be used to find the volume of this rectangular prism is:

(3 × 6) × 15 = 270 in.3

So, the correct answer is option D.

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Answer:

333

Step-by-step explanation:

Answer:

The length of the table in centimeters is;

Explanation:

Given the length of the table as;

2 feet 6 inches.

Let us convert completely to inches.

The length of the table is 30 inches.

Given;

For 30 inches we have;

Therefore, the length of the table in centimeters is;

Example 1: m < n Matrix A: 3x4

Example 2: m > n Matrix B: 4x3

For non-square matrices, the determinant is not defined, so det = 0 in Example 2.

consider two matrices, one with m < n and the other with m > n.

Example 1: m < n

Suppose we have a matrix A with dimensions 3x4:

A = [[1, 2, 3, 4],

    [5, 6, 7, 8],

    [9, 10, 11, 12]]

In this case, m = 3 and n = 4. The matrix A has more columns than rows.

Example 2: m > n

Now let's consider a matrix B with dimensions 4x3:

B = [[1, 2, 3],

    [4, 5, 6],

    [7, 8, 9],

    [10, 11, 12]]

Here, m = 4 and n = 3. The matrix B has more rows than columns.

Regarding your second question, the determinant (det) of a matrix is defined only for square matrices, i.e., matrices with the same number of rows and columns (m = n). If the matrix is not square, the determinant is not defined, and we say det = 0.

In the second example, matrix B is not square (m > n), so its determinant is automatically 0. This is a general property of non-square matrices.

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Answer:

14

Step-by-step explanation:

27-13

Step-by-step explanation:

Let A be Alvin's age and E be Elga's age

A + E = 27

also A + 13 = E

Substitute for A in the first equation

E -13 + E = 27

2E = 40

E = 20, so Elga is 20 years old and Alvin is 7.

1.

2(2)^3 - 5(2)^2

2(8) - 5(4)

16 - 20

-4

2.

[ 4(5)^2 + 2 ] / [ 5 + 1 ]

(4(25) + 2) / 6

100 + 2 / 6

102 / 6

17

3.

15 - (-1)^5

15 - - 1

15 + 1

16

Hope this helps!! :)

Answer:

C

Step-by-step explanation:

Given

tanθ = \(\frac{1}{2}\) = \(\frac{opposite}{adjacent}\)

This is a right triangle with legs 1 and 2

Using Pythagoras' identity

hypotenuse² = 1² + 2² = 1 + 4 = 5 ( take square root of both sides )

hypotenuse = \(\sqrt{5}\)

θ is in the 3rd quadrant where sinθ < 0 , then

sinθ = \(\frac{opposite}{hypotenuse}\) = - \(\frac{1}{\sqrt{5} }\) ← rationalise the denominator

       = - \(\frac{1}{\sqrt{5} }\) × \(\frac{\sqrt{5} }{\sqrt{5} }\)

       = - \(\frac{\sqrt{5} }{5}\) → C

Adding the area of the base and the area of the triangular faces, we get the total surface area of the pyramid: 36 + 12sqrt(34) square cm.

The solid right pyramid has a height of 4 cm and a square base with sides of 6 cm. We need to find the volume and total surface area of the pyramid.

To calculate the volume of a pyramid, we can use the formula V = (1/3)Bh, where B is the area of the base and h is the height. In this case, the base is a square with sides of 6 cm, so the area of the base is B = 6^2 = 36 square cm. Plugging in the values, we have V = (1/3)(36)(4) = 48 cubic cm. Therefore, the volume of the pyramid is 48 cubic cm.

To calculate the total surface area of the pyramid, we need to find the area of the base and the area of the four triangular faces. The area of the base is 36 square cm. The area of each triangular face can be calculated using the formula A = (1/2)bh,

where b is the base of the triangle (the side of the square base) and h is the height of the triangle (the slant height of the pyramid). In this case, the base b is 6 cm and the height h can be found using the Pythagorean theorem: h = sqrt((6/2)^2 + 4^2) = sqrt(18 + 16) = sqrt(34) cm.

Therefore, the area of each triangular face is A = (1/2)(6)(sqrt(34)) = 3sqrt(34) square cm. Since there are four triangular faces, the total area of the triangular faces is 4 * 3sqrt(34) = 12sqrt(34) square cm.

Adding the area of the base and the area of the triangular faces, we get the total surface area of the pyramid: 36 + 12sqrt(34) square cm.

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Answer:

3x2 – 5x + 2 = ( 3x-2)( x-1)

Step-by-step explanation:

I hope this helps you!

Have a nice dayyy <3

Answer:

\((3x-2)(x-1)\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since this is a test/homework I'll give a hint.

For a linear equation, you have no idea what x and y is, but thats ok! The test itself has already given you 4 options, so you can just input the x/y coordinates, and if they fit, good for you! If they don't, you may need to try again. There are other more complex and faster ways, but they are (a) more complex.

Hope this helps!

answer: 1/2 bh

Step-by-step explanation

so this equation is in y = mx + b form or slope intercept form

you can see that the slope is 3x since mx is slope

remember! m is always slope!

Answer:

yintercept: (0,3) or 3

x intercept: (-4,0) or -4

Step-by-step explanation:

The y intercept is what you get when x=0

.75*0+3

3

The x intercept is what you get when y=0

0=.75x+3

-3=.75x

-4=x

Answer:

22% decrease

Step-by-step explanation:

(1100-900)/900 = .22

Answer:

It would it take 10 minutes

Step-by-step explanation:

the reason is because 2 people used 20mins so if you add 2 more it would be half of the work so it would be 10 minutes also it would take 25 minutes for 1 person to weed a plot of land so it means you subtract by 5.

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

I believe that the answer is C

Step-by-step explanation:

4= -8z - 7 +8z

4+7=Z

11=Z

sorry if I'm wrong in any of them

Answer: angle A = 140 angle B = 40 so X=40

Step-by-step explanation: the two angles added up equal 180 so

60-180=120

120/3=40

x=40

2(40)+60+(40)=180

80+60+40=180

a) The central 95% of all copper contents would be bounded by the values of 26.02 and 35.58.

b) The distribution of the sample mean copper content follows an approximately normal distribution with a mean of 30.8 and a standard error of \($\frac{2.45}{\sqrt{16}}\) =0.6125.

c) If we were to randomly sample 16 brake pads from this distribution, the bounding values for the central 95% of possible means would be (29.6, 32)

a) Since the copper content in sintered brake pads follows an approximately normal distribution with a mean of 30.8 and a standard deviation of 2.45, we can use the standard normal distribution to find the values that bound the central 95% of all copper contents. The 95% confidence interval corresponds to z=1.96 in the standard normal distribution. Thus, the values that bound the central 95% of all copper contents are given by:

30.8−1.96×2.45=26.02,30.8+1.96×2.45=35.58

b) The sample mean of copper content for a sample of 16 pads is also normally distributed with a mean of 30.8 and a standard deviation of \($\frac{2.45}{\sqrt{16}}=0.6125$\), which is called the standard error. The distribution of the sample mean is given by:

c) The bounding values for the central 95% of possible means can be found by using the formula:

where \($\sigma$\) is the population standard deviation, n is the sample size and \($z^*$\)is the critical value of the standard normal distribution that corresponds to a 95% confidence interval. Substituting the values, we get:

Therefore, the bounding values for the central 95% of possible means are given by:

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

rectangular ward:

perimeter = 274 ft

width = lenght - 37ft

Step 02:

lenght of the ward:

perimeter = 2*w + 2*l

274 = 2*(l - 37) + 2*l

274 = 2l - 74 + 2l

274 + 74 = 4l

348 / 4 = l

87 = l

The answer is:

The lenght of the ward:

Answer: we need the table to solve this

Step-by-step explanation:

Answer:

7.0681, 7.618, 7.6801, 7.681

Step-by-step explanation:

from the least (smallest) to the greatest (largest)

7.0681, 7.618, 7.6801, 7.681

Since the point of rotation is (3, 2), a sequence of transformations that can be used to carry ABCD onto itself include the following:

A. Reflection across the line x = 3

B. Rotation of 180°.

In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.

In this scenario, a line of reflection that would map geometric figure ABCD onto itself is an equation of the line that passes through AC.

In this context, we can reasonably infer and logically deduce that a reflection across the line x = 3, a reflection across the line y = 2, and rotation of 180° are sequence of transformations that can only be used to carry or map quadrilateral ABCD onto itself because the point of rotation is (3, 2).

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Yes, the statement “Side length WX corresponds with angle WXZ” refers to a triangle.

In geometry, a triangle is a closed 2D shape made up of three sides and three angles. The correspondence of the side length with an angle in a triangle indicates that we are dealing with a triangle. A triangle can be named according to the length of its sides and the measures of its angles.
In this case, the side WX and the angle WXZ are in correspondence, which means they are paired in some way. We can say that WX is opposite the angle WXZ, which indicates that the triangle in question is a right-angled triangle. In a right-angled triangle, one of the angles is a right angle, which measures 90°.
To find out more about the triangle, we need more information about its sides and angles. However, we can conclude that the given information confirms that a triangle exists with a right angle at vertex W, and the side length WX corresponds to the angle WXZ.
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