Jennie was collecting bugs for a school science project. She measured
each one in inches and wrote their lengths below.
1 1 8 3 14
12 3 2 36
18 30
5
Which list shows the lengths in order from least to greatest?
5
A.
1
3
3
18
8
36
14
30
2.
B.
3
18
8
36
1
3
듬
12
30
2
C,
14
30
3
18
8
36
1
3
2
12
D.
8
36
14
30
2
18
12
Please help! W/ work pls due at 8 am! It’s 6:14

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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Answer:

7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

first you'd make 4y+12=32

get rid of 12           -12 =-12

                               4y=20

             divide        4 =4

                                y=5

to calculate calculate mean and standard deviation after transforming a random variable combining random variables, use the formulae for both the expected and standard deviation of such a linear combination with random variables.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.

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Answer:

(3x - 2) (x - 2)

Step-by-step explanation:

im smart

Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The order from least to greatest is −2.3, −0.2, 0.7, 2.2. The correct option is A.

When numbers are arranged in ascending order, they are done so from smallest to largest. We must first compare the numbers before we can arrange them in any order. Compare first, then order. Numbers are arranged in ascending order.

Given that the numbers are 0.7, −0.2, 2.2, and −2.3. The numbers in ascending order will be arranged as,

0.7, −0.2, 2.2, −2.3

-2.3 > -0.2 > 0.7 > 2.2

Hence, the ascending order of the given data is -2.3 > -0.2 > 0.7 > 2.2.

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\(( {n}^{2} - 6n) + 6 = - 2\)

\(( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1\)

\( \sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1\)

\(n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2\)

\( \large \boxed {n = 4,2}\)

Answer:

£0.90

Step-by-step explanation:

To calculate the change you received, you can subtract the amount you spent from the amount you gave to the shop assistant.

Amount received by the shop assistant = £7

Amount spent = £6.10

Change received = Amount received - Amount spent

Change received = £7 - £6.10

Change received = £0.90

Therefore, you received £0.90 in change.

In the given scenario, where there is one infinitely long track and overtaking is impossible, the initial situation consists of three equally spaced trains, each moving at a different speed. The trains have the capability to link up when one catches up to the other, resulting in a single train moving at the speed of the slower train.

As the trains move, they will eventually reach a configuration where the fastest train catches up to the middle train. At this point, the fastest train will link up with the middle train, forming a single train moving at the speed of the middle train. The remaining train, which was initially the slowest, continues to move independently at its original speed. Over time, the process continues as the new single train formed by the fastest and middle trains catches up to the remaining train. Once again, they link up, forming a single train moving at the speed of the remaining train. This process repeats until all the trains eventually merge into a single train moving at the speed of the initially slowest train. In summary, on this strange railway line, where trains can only link up and cannot overtake, the initial configuration of three equally spaced trains results in a sequence of mergers where the trains progressively combine to form a single train moving at the speed of the initially slowest train.

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Yet, there is no conclusive evidence that the true mean volume is any different from 12 ounces despite the fact that 12 ounces fall within the 95% confidence zone of 11.97 to 12.05.

The sample mean must be determined by the supervisor before the 95% confidence interval may be calculated. You may calculate this by adding up the contents of the 10 cans and dividing it by 10.Assume that there are 11.8, 11.9, 12.1, 12.0, 12.0, 12.2, 11.9, and 11.8 ounces of liquid in each of the 10 cans. Divide 120.0 ounces (the total weight of the contents of all the cans) by 10 to obtain the sample mean, which is 12.0 ounces. To accomplish this, subtract the sample mean from each measurement. Once the values have been squared, added, and divided by n-1, where n is the total number of measurements, you can proceed. For this example, subtract the sample mean (12.0) from each of the 10 observations, square the results, and then add the results to obtain the sample standard deviation, which comes out to be 0.36. Because there are 10 measurements, the sample standard deviation is then decreased by 9 (since n-1 = 10-1 = 9) to provide a result of 0.04The manager may finally establish the 95% confidence interval by subtracting (1.96 x 0.04) from the sample mean (12.0) and adding (1.96 x 0.04) to the sample mean (12.0).

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Answer:

220

Step-by-step explanation:

12 C 3 = 12! /( (12-3)1 * 3!)

= 12! / ( 9! * 3!)

= 12 * 11 * 10 / 3! = 220

Answer:

Each side is 5 cm

Step-by-step explanation:

What you are being told is that the figure is a rhombus. The two sides of a right triangle are 1/2 the size of the diagonals.

a = 3

b = 4

c = the side length of the rhombus.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

Take the square root of 25

sqrt(c)^2 = sqrt(25)

c = 5

Answer:

x = 4 units

Step-by-step explanation:

2/z = z/6

z² = 12

z = 2√3

using the Pythagorean theorem:

x² = 12 + 2²

x² = 16

x = 4

Based on the definition of an equilateral triangle, the value of x is: B. 4 units.

If triangle MRN is created when an equilateral triangle is folded in half, therefore:

x = 1/2 of (NM)

x = 1/2(6 + 2)

x = 1/2(8)

x = 4 units

Therefore, based on the definition of an equilateral triangle, the value of x is: B. 4 units.

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Answer: 288pi in cubed

Step-by-step explanation: because area of a circle is pir^2 so 36*8=288

Answer:

38 inches

Step-by-step explanation:

just add them all together.

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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Answer:

24%

Step-by-step explanation:

Step one:

given data

The marked price of a watch is Rs.2700

The value of the watch after adding VAT is Rs.2376

let us find the discount

= 2700-2376

=324

then the percentage discount is

=324/2700*100

=0.12*100

=12%

The VAT is twice the discount, the VAT is 12*2= 24%

Your welcome :) hope it helps

Answer:

Step-by-step explanation:

what two numbers can you multiply that will equal to 30 when you multiply but 13 when you add them?

10+3=13     10*3=30  

so we can use 10 and 3

since the first symbol (x^2+13x) is positive than the bigger number you got earlier (10) will be positive

(x+10)

since the second symbol (13x+30) is positive than our next symbol will be positive as well

(x+3)

combine them so now they are (x+10)(x+3)

Answer:

25% of 48 = 12

Step-by-step explanation:

12 ÷ 25% = 12 ÷ 0.25 = 48

Answer: Divide each term by 25 % and simplify.

N = 48

Step-by-step explanation:

Solution

Given the graphs below

For the graph of figure A and B:

Figure A and figure B are congruent.

Hence, yes they are congruent.

The transformation that map figure A onto figure B is to rotate figure A clockwise 90° about the origin.

For the graph of C and D:

Figure C and figure D are congruent.

Hence, yes they are congruent.

The transformation that map figure C onto figure D is reflect figure C over the y-axis

16 is a perfect square

16 = 2 × 2 × 2 × 2

16 = (2 × 2) × (2 × 2)

16 = 4 × 4

Perfect squares numbers whose squares are whole numbers. Square root of 16 gives 4.

Hence, 16 is a perfect square

Answer:

BEANS

Step-by-step explanation:

BEANS BEANS BEANS BEANS BEANS BEANS

Answer:

x = 43°

Step-by-step explanation:

The chord- chord angle AED is half the sum of the arcs intercepted by the angle and its vertical angle, that is

x = \(\frac{1}{2}\) (54 + 32)°  = \(\frac{1}{2}\) × 86° = 43°

Answer:

37.5 minutes

Step-by-step explanation:

45+30=75

=75 =37.5

2

This might help you!!!!

The first two steps in solving the radical equation √x - 6 + 5 = 12 are:

C. Subtract 5 from both sides and then square both sides.

The first two steps in solving the radical equation √x - 6 + 5 = 12 are:

C. Subtract 5 from both sides and then square both sides.

The correct steps are as follows:

Subtract 5 from both sides:

√x - 6 = 12 - 5

√x - 6 = 7

Square both sides of the equation:

(√x - 6)² = 7²

(x - 6)² = 49

Therefore, the correct choice is option C. Subtract 5 from both sides and then square both sides.

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There are 100 integers 'a' satisfying the congruence relation $a(a-1)^{-1} \equiv 4a^{-1} \pmod{20}$, where $0 \leq a < 100$.

To determine the number of integers 'a' satisfying the congruence relation:

$a(a-1)^{-1} \equiv 4a^{-1} \pmod{20}$

First, we can rewrite the congruence as:

$a(a-1)^{-1} - 4a^{-1} \equiv 0 \pmod{20}$

Multiplying both sides by $(a-1)a^{-1}$ (which is the inverse of $(a-1)$ modulo 20) yields:

$a - 4(a-1) \equiv 0 \pmod{20}$

Simplifying further, we have:

$a - 4a + 4 \equiv 0 \pmod{20}$

$-3a + 4 \equiv 0 \pmod{20}$

To solve this congruence relation, we can consider the values of 'a' from 0 to 99 and check how many satisfy the congruence.

For $a = 0$:

$-3(0) + 4 \equiv 4 \pmod{20}$

For $a = 1$:

$-3(1) + 4 \equiv 1 \pmod{20}$

For $a = 2$:

$-3(2) + 4 \equiv -2 \pmod{20}$

Continuing this process for each value of 'a' from 0 to 99, we can determine how many satisfy the congruence relation. However, in this case, we can observe a pattern that repeats every 20 values.

For $a = 0, 20, 40, 60, 80$:

$-3a + 4 \equiv 4 \pmod{20}$

For $a = 1, 21, 41, 61, 81$:

$-3a + 4 \equiv 1 \pmod{20}$

For $a = 2, 22, 42, 62, 82$:

$-3a + 4 \equiv -2 \pmod{20}$

And so on...

Thus, the congruence relation is satisfied for the same number of integers in each set of 20 consecutive integers. Hence, there are 5 sets of 20 integers that satisfy the congruence relation. Therefore, the total number of integers 'a' satisfying the congruence is 5 * 20 = 100.

Therefore, there are 100 integers 'a' satisfying the congruence relation $a(a-1)^{-1} \equiv 4a^{-1} \pmod{20}$, where $0 \leq a < 100$.

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Answer:

47°

Step-by-step explanation:

The given angle and its complement sum to 90°, thus

complement = 90° - 43° = 47°

In quadrant IV, \(\cos(A)\) is positive. So

\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258\)

Then by the definition of tangent,

\(\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}\)