300g of bananas cost £1.80. how much does 1kg cost?

The volume of the cone is approximately700π/3 inches³.

What exactly is a cone?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat, circular base to a point called the apex or vertex. The base can be any shape, but a circular base is the most common. A cone has a curved surface that extends from the base to the apex, and the distance from the apex to the base along a straight line passing through the center of the base is called the height of the cone.

Now,

As the Volume of cone is given by:

V = (1/3)πr²h

where r is the radius of the base, h is the height, and π is the mathematical constant pi.

In this case, we know that the diameter of the base is 20 inches, which means that the radius is 10 inches. We also know that the height is 21 inches. Therefore, we can plug in these values into the formula to find the volume:

V = (1/3)π(10²)(21) = (1/3)π(100)(21) = 700π/3 inches

Therefore, the volume of the cone is approximately700π/3 inches³, expressed in terms of pi and rounded to the nearest cubic inch.

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The correct option is A, The error of rejecting a true null hypothesis is known as a Type I error in hypothesis testing.

A hypothesis is an educated guess or a tentative explanation for a phenomenon that can be tested through empirical research. It is a statement that provides a proposed explanation for a phenomenon based on limited evidence or observations. The goal of a hypothesis is to provide a framework for empirical testing, and to determine whether the data collected supports or disproves the hypothesis.

In science, a hypothesis is a crucial part of the scientific method. It helps scientists to define and clarify their research questions, to design experiments or studies, and to make predictions about the outcomes. A hypothesis should be testable, falsifiable, and based on previous research or observations.

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Solution:

From the first and last statement, "S was to the left of the LG" and "iP was to the left of the LG", it shows that the samsung and iphone were to the left of the samsung and thus, the samsung is the last phone on the right.

Also, the third statement, "the black phone was to the left of the iP" shows that the iphone is not black and thus there is a phone (samsung) to the left of the iphone.

Thus, the arrangement of the phone from left to right is:

Samsung, Iphone, LG or Black, White, Blue

a. The data provided enough evidence at a = 0.05 level that the true mean pH of water from this source differs from 7

b. A 95% confidence interval for the true mean pH level of the water is (6.21, 6.59) means  about 95% of those intervals would contain the true mean pH level.

c. The estimated mean pH level of seven is not included in the interval in section (b). This is consistent with the result of the test in part (a), which also rejects the null hypothesis that the true mean pH level is 7.

(a) To test whether the true mean pH of water from this source differs from 7, we can perform a one-sample t-test. The null hypothesis is that the true mean pH is equal to 7, and the alternative hypothesis is that the true mean pH is not equal to 7.

The test statistic can be calculated as follows:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

t = (6.4 - 7) / (0.5 / sqrt(30))

t = -3.07

Using a t-table with 29 degrees of freedom at a significance level of 0.05 (two-tailed test), the critical t-value is ±2.045. Since the calculated t-value (-3.07) is outside of the critical t-value range, we can reject the null hypothesis and conclude that there is enough evidence at a = 0.05 level to suggest that the true mean pH of water from this source differs from 7.

(b) A 95% confidence interval for the true mean pH level of the water is (6.21, 6.59). This means that if we were to take many random samples of size 30 from this water source, and construct a 95% confidence interval for each sample mean pH level, then about 95% of those intervals would contain the true mean pH level.

(c) The interval in part (b) does not include the hypothesized mean pH level of 7. This is consistent with the result of the test in part (a), which also rejects the null hypothesis that the true mean pH level is 7.

The confidence interval provides additional information by giving a range of plausible values for the true mean pH level, and we can see that all of the values in this range are below 7, indicating that the water is indeed slightly acidic.

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1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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The result of 6.4 x 10^5 + 36,000 is 6.76 x 10^5.

When performing addition with numbers written in scientific notation, we have to make sure that the powers of 10 are the same in both numbers.

In the given problem, we have;

6.4 x 10^5 + 36,000

We need to write the second number in scientific notation.

36,000 = 3.6 x 10^4

Now we can add the two numbers.

However, the powers of 10 are not equal. We have to adjust them so that they are equal.

Let's write 3.6 x 10^4 in scientific notation with the same power of 10 as the first number

.6.4 x 10^5 + 3.6 x 10^4 can be written as:6.4 x 10^5 + 0.36 x 10^5

Now that the powers of 10 are equal, we can add the two numbers by adding the coefficients.

6.4 x 10^5 + 0.36 x 10^5 = 6.76 x 10^5

So the result of 6.4 x 10^5 + 36,000 is 6.76 x 10^5.

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The volume of the silo is approximately 49,931 ft³.

A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 40 feet, the height of the roof is 10 feet, and the height of the entire silo is 75 feet?

We are supposed to calculate the volume of a silo which is a composite of a cylindrical tower with a cone for a roof.

The total height of the silo = 75 ft

Height of the roof = 10 ft

Height of the cylinder = (75 - 10) ft = 65 ft

Radius of the base = 40 ft

Volume of the cylinder: πr²h = π(40)² × 65 ft³ ≈ 33,176 ft³

Volume of the cone: 1/3πr²h = 1/3π(40)² × 10 ft³ ≈ 16,755 ft³

The volume of the silo = Volume of cylinder + Volume of the cone= 33,176 ft³ + 16,755 ft³ = 49,931 ft³

Therefore, the volume of the silo is approximately 49,931 ft³.

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Answer:

x=1, y=-1. (1, -1)

Step-by-step explanation:

2x-3y=5

x+2y=-1

---------------

2x-3y=5

-2(x+2y)=-2(-1)

-----------------------

2x-3y=5

-2x-4y=2

-------------

-7y=7

y=7/-7

y=-1

x+2(-1)=-1

x-2=-1

x=-1+2

x=1

Answer: Linear

Step-by-step explanation:

It increases by a linear amount, 3 everytime. If you were to keep going on and on, it would still conform to the rules it follows, 3x+9.

5 * 3 + 9 is 24. 24 is 21 +3

Answer: true

Step-by-step explanation:

Answer: True

Step-by-step explanation: Has to be true if a b and c are all numbers

Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars

Step-by-step explanation:

Not a right triangle.

To determine if a triangle is a right triangle, we can apply the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate:

The given side lengths are:

Side A: 11 feet

Side B: 9 feet

Side C: 14 feet (hypotenuse)

According to the Pythagorean theorem, if the triangle is a right triangle, then:

Side A^2 + Side B^2 = Side C^2

Substituting the values:

11^2 + 9^2 = 14^2

121 + 81 = 196

202 ≠ 196

Since 202 is not equal to 196, we can conclude that the triangle with side lengths 11 feet, 9 feet, and 14 feet is not a right triangle.

Answer:

A) 4.3

Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

It is a right angled triangle so you can use the SOH-CAH-TOA rules of trigonometry:

We have the hypotenuse and need to find the length adjacent to the angle so use CAH

cos 70 = x / 12

x = 12cos70 = 4.104...

D

Answer:

b

Step-by-step explanation:

edg 2020

The smallest measure of angle is angle ∠ V due to opposite angle of smallest side which is correct option(B).

A triangle is defined as simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol of Δ and consists of three connected vertices. Triangles can be categorized into a number of different varieties according on their sides and angles.

A triangle has three sides, three vertices, and three interior angles.

The angle sum property of a triangle states that the sum of the three interior angles of a triangle is always 180°

In ΔTUV,

Length of Side TU = 5 units

Length of Side UV = 8 units

Length of Side TV = 11 units

Side TU is opposite of angle ∠ V

Side UV is opposite of angle ∠ T

Side TV is opposite of angle ∠ U

The sides in order from longest to shortest :  Side TV > Side UV = Side TU

The longest side is always opposite of the largest angle, and the smallest side is always opposite of the smallest angle.

Hence, the angle in order from longest to shortest :  angle ∠ U > angle ∠ T > angle ∠ V

Thus, the smallest measure of angle is angle ∠ V.

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Answer: The thousands place

Step-by-step explanation: the two is the tenths place, all the 0 are one, tens, and hundreds place

Answer:dddddddddddd

yy

Step-by-step explanation:

bb

Answer:

65 degrees

Step-by-step explanation:

The figure is a parallelogram.

The property of a parallelogram states that the opposite angles are always equal In measure.

So, x=65 degrees.

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Answer:

65

Step-by-step explanation:

If you didnt notice, 115 and 115 are parallel angles and the same applies for 65, making its opposing angle, x, 65 degrees. However if it was not a case of parallel angles, you would sum up the three angles you have, 65+115+115, which would get you the answer of 295. Then, because the angles of a quadilerateral add up to 360 degree, you need to do 360 - 295 = x. That will give you your answer of x, which is 65.

360 - 295 = 65.

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In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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Answer:

2826 ft²

Step-by-step explanation:

r= 30 ft

A= πr² = 3.14*30² ft²= 2826 ft²

Answer:

5 miles

Step-by-step explanation:

Answer:

17/25

Step-by-step explanation:

P(not red)=Number of Skittles Not Red/Total Number of Skittles

The probability that at least one of the six values appears is 1 - (5/6)^6, which is equal to 0.7752.

The probability that at least one of the six values appears when a fair die is rolled six times is 0.7752.

To calculate this, we can use the complement rule. The complement of the event that none of the six values appears is that at least one of the six values appears. This means that we can calculate the probability that at least one of the six values appears by subtracting the probability that none of the six values appears from 1.

Let's calculate the probability that none of the six values appears first. The probability that the first roll is not one of the six values is 5/6. The probability that the second roll is not one of the six values, given that the first roll was not one of the six values, is also 5/6. This pattern continues and the probability that none of the six values appears is (5/6)^6. Therefore, the probability that at least one of the six values appears is 1 - (5/6)^6, which is equal to 0.7752.

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Therefore, the probability that the lightbulb will last no more than 300 hours is approximately 0.15537.

To find the probability that the lightbulb will last no more than 300 hours, you need to integrate the given pdf f(x) from 0 to 300 hours. The pdf is f(x) = e^(-0.005x) for x > 0.

Step 1: Set up the integral
P(X ≤ 300) = ∫[0,300] e^(-0.005x) dx

Step 2: Integrate the function
P(X ≤ 300) = [-1/0.005 * e^(-0.005x)] evaluated from 0 to 300

Step 3: Evaluate the integral at the limits
P(X ≤ 300) = [-1/0.005 * e^(-0.005*300)] - [-1/0.005 * e^(-0.005*0)]

Step 4: Simplify the expression
P(X ≤ 300) = (-1/0.005) * [e^(-1.5) - e^(0)]

Step 5: Evaluate the exponential terms and complete the calculation
P(X ≤ 300) = (-1/0.005) * [0.22313 - 1]

P(X ≤ 300) = 200 * [-0.77687] = 0.15537

Therefore, the probability that the lightbulb will last no more than 300 hours is approximately 0.15537.

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i love robloox

               n n n nn

Answer:

4.3675 × 10^3

Step-by-step explanation:

Answer:

The velocity of the object is that has fallen through a height of 23 ft is 38.37 ft/s.

option B.

The velocity of an object can also be defined as the rate of change in the object's position corresponding to a frame of reference and time.

Mathematically, the formula for estimating the velocity of an object that has fallen through a height of h, is given as;

V = √64h

where;

When the height fallen by the object = 23 ft, the velocity of the object is calculated as;

V = √64h

V = √ (64 x 23 )

V = 38.37 ft/s

Thus, the velocity of the object is that has fallen through a height of 23 ft is 38.37 ft/s.

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Atticus asks Calpurnia to go with him to tell Helen Robinson about the death of her husband. Option B is the correct answer.

Helen Robinson was Tom Robinson's widow in To Ki-ll a Mockingbird, a novel by Harper Lee. Despite the fact that she is not a major character in the story, she plays a significant role in the novel's plot. When Bob Ewell accuses Tom Robinson of ra-pe, Atticus Finch is hired to defend him, and Helen Robinson appears in the story.

When Tom Robinson, a black man, was accused of rapi-ng a white woman, Mayella Ewell, he was arrested and imprisoned in the local jail. He was sentenced to death, but he attempted to flee and was subsequently sh-ot and kill-ed by a group of guards. When the news of his death reaches Atticus, he goes to tell Helen Robinson that her husband had died.  Atticus, recognizing that it will be difficult for her to receive such news, offers to accompany her and asks Calpurnia to come along with him.

Calpurnia was the Finch family's black housekeeper in the novel To K-ill a Mockingbird. She is one of the few African American characters in the book who has a speaking role, and she serves as a motherly figure to Scout and Jem. Throughout the novel, she serves as a bridge between the white and black communities, and she plays a crucial role in the story's resolution.

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Answer:

{TT, HH} and {TH}

Step-by-step explanation:

Mutually exclusive just means the three pairs of letters are all different and does not repeat. Only the last choice has three unique pairs of letters: TailTail, HeadHead, and TailHead.

Answer:

tip is $6

Step-by-step explanation:

multiply 40 by 0.15 so 6