Kevin, Luke and mat share £200 in the ratio 1:4:3 how much more money does Luke receive than Kevin

Answer:

4

Step-by-step explanation:

Since we are testing if Chicago's average price is higher than Denver's average price, this is a one-tailed test with a right-tailed rejection region.

What is null hypothesis?

In statistics, the null hypothesis (H0) is a statement that assumes that there is no significant difference between two or more groups, samples, or populations.

The null hypothesis would be that there is no significant difference between the average price of 3-bedroom, 2-bath homes in Chicago and Denver.

The alternate hypothesis would be that the average price of 3-bedroom, 2-bath homes in Chicago is higher than the average price in Denver.

Symbolically:

Null hypothesis: H0: μc - μd = 0

Alternate hypothesis: Ha: μc - μd > 0

where μc represents the population mean of the average price of 3-bedroom, 2-bath homes in Chicago, and μd represents the population mean of the average price in Denver.

Note that since we are testing if Chicago's average price is higher than Denver's average price, this is a one-tailed test with a right-tailed rejection region.

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Answer:

Option C is correct option.

Step-by-step explanation:

We need to select the statement that does not correctly use probability to describe an  event.

Probability

Whenever we need to find probability of something it lies between 0 and 1.

So, if any item has probability greater than 1 then it is incorrectly described.

Now, looking at the options:

A. The probability of a storm tomorrow is 60%.

Here probability is 0.6 (60/100 = 0.6) so it is used correctly

B. The probability of finding a matching pair of socks is 1/3

 Here probability is 0.33 (1/3 = 0.33) so it is used correctly

C. The probability of taking a good class picture is 1.3.

 Here probability is 1.3 but probability can be between 0 and 1. So here it is not used correctly.

D. The probability that the dog will catch the ball is 0.99.​

Here probability is 0.99 so it is used correctly

Therefore Option C is correct option.

Answer:

C. The probability of taking a good class picture is 1.3

Step-by-step explanation:

Hope it helps! :D

Answer:

Four thousand six hundred fifty one point nine three

Answer:

x^3-2x^2+10x-4

Step-by-step explanation:

   2x^3-4x^2+7x+1

+   -x^3+2x^2+3x-5

     x^3-2x^2+10x-4

I hope this helped and please mark me as brainliest!

Answer:\(x^3-2x^2+10x-4\)

Step-by-step explanation:

When adding polynomials simply just add the like terms together. For example if two of the numbers you must add have x^3 in them add them together.

\(( 2x^3-4x^2+7x+1) + (-x^3+2x^2+3x-5)\\(2x^3-x^3)+(-4x^2+2x^2)+(7x+3x)+(1-5)\\x^3-2x^2+10x-4\)

The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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Answer:

10,000

Step-by-step explanation:

10 to the power of 4 is equal to 10x10x10x10 which is 10,000! I hope this helps

Answer:

the answer will be 10000!

Step-by-step explanation:

10 x 10 x 10 x 10 = 10000

or...

10 x 10 = 100

100 x 100 = 10000

or...

jusr simply add 4 zero to 1!

Answer:

\( {4}^{3} {y}^{2} \\ {7}^{3} \\ {3}^{3} {x}^{3} \)

1 ꜰᴏᴏᴛ ᴘᴇʀ ᴍɪɴᴜᴛᴇ: ꜰᴇᴇᴛ ᴘᴇʀ ᴍɪɴᴜᴛᴇꜱ. ɪɴ ꜱɪ ᴜɴɪᴛꜱ 5.08 x 10-3 ᴍᴇᴛᴇʀꜱ ᴘᴇʀ ꜱᴇᴄᴏɴᴅ.

Answer:

technical units conversion tool for speed and velocity measures

Answer: The top 25.

Step-by-step explanation:

Answer:

\(x=-25\)

Step-by-step explanation:

\(-\frac{2}{5}x=10\)

Multiply both sides by 5:-

\(5\left(-\frac{2}{5}x\right)=10\times \:5\)

\(-2x=50\)

Divide both sides by -2:-

\(\frac{-2x}{-2}=\frac{50}{-2}\)

\(x=-25\)

OAmalOHopeO

Answer:

x = -2

Step-by-step explanation:

-8x = 16

x = 16/-8

x = -2

Comprobación:

-8*-2 = +16 = 16

The solution to the equation -8x = 16 is x = -2.

In mathematics, an expression is a combination of numbers, variables, and operators (such as +, -, ×, ÷, etc.) that are combined to represent a mathematical phrase or idea.

Expressions can be as simple as a single number or variable, or they can be more complex with multiple terms and operators. For example, "3 + 4" and "5x - 2" are both examples of expressions.

To solve the expression -8x = 16, we want to isolate the variable x on one side of the equation. We can do this by performing the same operation on both sides of the equation, in order to keep the equation balanced.

In this case, we want to get x by itself on one side of the equation, so we need to get rid of the -8 coefficient on the variable.

We can do this by dividing both sides of the equation by -8:

-8x / -8 = 16 / -8

Simplifying both sides gives:

x = -2

Therefore, the solution to the equation -8x = 16 is x = -2.

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Answer: 880 cm

Step-by-step explanation:

Given: Radius of the hula hoop = 35 cm

Hula hoop is  circular in shape

Then, Circumference = \(2\pi r\) , where r = radius

Now , Circumference of hula hoop = \(2\times \dfrac{22}{7}\times35=220\ cm\)

Now , the distance the hula hoop rolls in 4 full rotations = 4 × (Circumference of hula hoop)

\(= 4 \times 220=880\ cm\)

Hence, the required distance = 880 cm

Answer:

880

Step-by-step explanation:

Answer:

$160

Step-by-step explanation:

Diane sold some stuffs at a garage sale.

Let the total value of the money Diane made = x

She spent one-half of the money she made on a new bicycle.

Amount spent on a Bicycle = 1/2 × x = 1/2x

Next,

Amount left

= x - 1/2x = 1/2x

She spent one-half of what was left on a portable stereo.

Amount spent spent on Portable stereo

= 1/2 × 1/2x

= 1/4x

If Diane had $40.00 left,

Hence:

The fraction of what was left is calculated as:

= x - (1/2x + 1/4x)

= x - (3/4x)

= 1/4x

Hence:

1/4x = $40

We can find the value of x now.

1/4 × x = $40

x/4 = $40

x = $40 × 4

x = $160

Therefore, the amount she made from the garage sale is $160

Answer:

Hey hey guys, it is 160.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-6-7}{2-[-3]}=\dfrac{-6-7}{2+3}\\\\\\=\dfrac{-13}{5}\)

Answer:

\(y = - 2x + 5\)

Step-by-step explanation:

Simply simplify the equation from what it is to the slope intercept format:

\(y = mx + b\)

Step-by-step explanation:

Hey there!

We know;

The slope intercept form of equation is;

y = mx+c

So, let's try to take it in this form.

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

Multiply -2 and (x-2)

(y-1) = -2x + 4

Take '-1' to right side.

y = -2x+4+1

y = -2x+5

Therefore, the equation is y = -2x+5.

Hope it helps...

Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

Given data:

Total packs 3x3 sticky notes: 24 packs

Cost of 24 packs: 28.99

Number of sticky notes in a pack: 100

With the information above, we can proceed to find the answers to the questions

Part A: What is the price for each pack?

Since 24 packs cost 28.99

Then 1 pack will cost =

Hence, a pack will cost $1.21

Part B: How much is every single sticky note?

Since each pack cost 1.21, and each pack has 100 sticky notes, then

each sticky note will cost

=> every single sticky note will cost $0.012

Answer:

B.

Step-by-step explanation:

Both sides of equation are the same, making the amount of solutions infinite.

In a square, all sides are equal so,

6x - 1 = 4x + 6

6x - 4x - 1 = 6

2x - 1 = 6

2x = 6 + 1

2x = 7

x = 7 / 2

x = 3.5

Now substitute the x value to any of the sides (in this case, I'm using the "4x + 6" side),

4(3.5) + 6

14 + 6

= 20 cm

Side = 20 cm

false

because they have different variables, they are different terms. if they were both 4y and 4y or 4x and 4x then they would be like terms. but here, they are not.

i hope this helps!

Answer: B.False

Step-by-step explanation:This is because 4 x and 4 y have different terms.4 x has the term x while 4y has the term y.

Hope it helps . :)

Answer:

0.00694444444444444444444444444444

Rounded to the nearest thousandths: 0.007

Step-by-step explanation:

Use calculator.

Hope this helps!

If not, I am sorry.

Answer:

11/20

Step-by-step explanation:

To be able to find the fraction of the cake that Jake ate if you know that he ate 55% of it, you have to turn the 55% into a fraction. To do this, first you have to divide the percent by 100:

55/100

Then, you have to simplify the fraction. In this case, you can do it by dividing by 5:

11/20

According to this, the fraction of the cake that Jake ate is 11/20.

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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The next three terms in the given geometric sequence are 24, 48, and 96

To find the next terms in the geometric sequence 3, 6, 12, we need to find the common ratio (r) first.

r = 6/3 = 2

Now we can use the formula for the nth term of a geometric sequence:

an = a1 * r^(n-1)

where n+1 is the nth term, a1 is the first term, r is the common ratio, and n is the term number.

Using this formula, we can find:

a4 = 24 (3 * 2^3)
a5 = 48 (3 * 2^4)
a6 = 96 (3 * 2^5)

Therefore, the next three terms in the sequence are 24, 48, and 96.

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Answer:

$3.9K is the profit made from 100 TVs

Step-by-step explanation:

Step-by-step explanation:

the profit is defined by

Profit=Gain-cost

In this case (F-g)(100)= is the profit to sell 100 television and is calculated

F(x)-g(x)=4x+5000-(20x-500)=4x-20x+5000+500=-16x+5500=-16*(100)+5500=3900

3900=3.9k

Answer: 3,900 PROFIT MADE from 100 tv

Step-by-step explanation:

All the solutions are,

⇒ LSA = 80.4π yards²

⇒ LSA = 321.6π yards²

⇒ V = 2786.2 yards³

⇒ SA = 186.5 inhces²

Now, We can simplify as;

1) Slant Height = 13.4 yards

Diameter = 12 yards

Hence, Radius = 6 yards

Since, Lateral surface area of cone is,

⇒ LSA = πrl

⇒ LSA = π × 6 × 13.4

⇒ LSA = 80.4π yards²

2) Slant Height = 26.8 yards

Hence, Radius = 12 yards

Since, Lateral surface area of cone is,

⇒ LSA = πrl

⇒ LSA = π × 12 × 26.8

⇒ LSA = 321.6π yards²

3) Height = 22 yards

Diameter = 22 yards

Hence, Radius = 11 yards

Since, Volume of cone is,

⇒ V = πr²h/3

⇒ V = π × 11² × 22 / 3

⇒ V = 2786.2 yards³

4) Surface area of pyramid is,

SA = (8 x 7) + 1/2 x (2 x (8 + 7) x 8.7

SA = 56 + 15 x 8.7

SA = 186.5 inhces²

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complete question:

attached

Answer: 0.1714 miles / hour

Step-by-step explanation:

Given the following :

Distance to the store = 3 miles

Time taken to get to store = 12 hours

Time taken to return = 23 hours

The average rate of speed for the trip =?

Average Speed = total distance traveled / total time taken

Total distance traveled = 2 × 3 miles = 6 miles

Total time taken = 12 + 23 = 35 hours

Average speed = 6 miles / 35 hours

Average speed = 0.1714 miles / hour

Answer:

0.1714 mph

5.14 mph

Step-by-step explanation:

Jean is currently 24 years old, while Dean is 38 years old.

Let's assume Dean's current age is D. According to the given information, Jean's age is 2 less than half of Dean's age, which can be represented as (1/2)D - 2.

In two years, Jean will be half of Dean's age. So, in two years, Jean's age will be (1/2)(D + 2), and Dean's age will be D + 2.

Based on the given information, we can set up the equation:

Jean's age + Dean's age = 62

Substituting the expressions for their current ages, we get:

(1/2)D - 2 + D = 62

Multiplying the equation by 2 to eliminate the fraction, we have:

D - 4 + 2D = 124

Combining like terms, we get: 3D - 4 = 124

Adding 4 to both sides, we have: 3D = 128

Dividing both sides by 3, we find: D = 42.67

Since ages cannot be fractional, we can conclude that Dean's current age is 38 (the closest whole number), and Jean's age is (1/2)(38) - 2 = 24.

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