Work out the equation of the line which has a gradient of 1/2 and passes through the point (4 -2).

Answer:

f(x) = -x -11

    = -9-11 = -20

f(x) = -x-11

    = -6-11= -17

Step-by-step explanation:

Answer:

y = .75x + 1 or y= 3/4x +1

Step-by-step explanation:

The probability of rolling a number greater than 2 is 2/3, or approximately 0.67.

When a fair six-sided die is rolled, there are six equally likely outcomes: 1, 2, 3, 4, 5, and 6.

To find the probability of rolling a number greater than 2, we need to determine the favorable outcomes (numbers greater than 2) and divide it by the total number of possible outcomes.

The favorable outcomes are 3, 4, 5, and 6, which means there are four favorable outcomes.

The total number of possible outcomes is six, as mentioned earlier.

Therefore, the probability of rolling a number greater than 2 is:

P(greater than 2) = Favorable outcomes / Total outcomes

                = 4 / 6

                = 2/3

So, the probability of rolling a number greater than 2 is 2/3, or approximately 0.67.

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Answer:10^-20

Step-by-step explanation:

The value of the constant C is 3/4.

Probability is a branch of mathematics that deals with the likelihood or chance of an event occurring. It is a measure of the likelihood that a specific event will occur, expressed as a value between 0 and 1

The sum of the probabilities for all possible values of X should equal 1

P(1) + P(2) + P(3) + P(4) = 1

Substituting the given values, we get:

C/4 + 1/2 + 1/8 + C/4 = 1

Simplifying the equation, we get:

C/2 + 5/8 = 1

Move 5/8 to right hand side of the equation

C/2 = 3/8

C = (3/8) x 2

C = 3/4

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===================================

Work Shown:

A = P*(1+r/n)^(n*t)

A = 500*(1+0.05/4)^(4*3)

A = 580.3772588615

A = 580.38

Answer:10.2$

Step-by-step explanation:4.25 times 2.40=10.2

Answer:

4.25 * 2.40 = 10.2 pretty simple

Step-by-step explanation:

Step-by-step explanation:

I want to say Marisella. Here's my argument.

5 seats in the front row, so 5/20. Before the first person enters, 5 seats are open making it 5/20.

Once the first person sits.. now there are 4 spots in the front and only 19 total seats left, making it 4/19

It is FALSE to state that if a researcher is interested determining if there is a relationship betweenethnicity and job type, then a Chi- Square Goodness of Fit test can be   used.

A Chi-Square Goodness of Fit test is not   appropriate for determining the relationship between ethnicity and job type.

This test is used to assess thedistribution of categorical variables within a single population or sample,   comparing observed frequencies with expected frequencies.

To examine the relationship between ethnicity and job type, a Chi-Square test of independence   or another suitable statistical test, such as logistic regression,would be more appropriate.

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The false interpretation is that exactly 95% of the population has a caloric intake between 1875 and 2128 calories.

The 95% confidence interval means that if the student were to take multiple samples and calculate multiple confidence intervals, about 95% of those intervals would contain the true population mean caloric intake.
You provided a 95% confidence interval for the population mean 1-day caloric intake as (1875, 2128). The false interpretation of this confidence interval is:
"95% of the sampled individuals have a caloric intake between 1875 and 2128."
This statement is incorrect because a 95% confidence interval estimates the range within which the true population mean 1-day caloric intake is likely to fall, with 95% confidence. It does not describe the caloric intake range for individual people within the sample.

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There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Step-by-step explanation:

the answer is 2.50+1.50+733=737

The two triangles are not similar by HL theorem.

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

each small square on the graph is 2 units,

from ΔABC BC = 8 - 4 which is 4

                    AB = 0 -- 8 which is 8

by Pythagoras

AC^2 = AB^2 +BC^2

AC^2 = (8)^2 + (4)^2

AC^2 = 64 + 16

AC^2 = 80

AC = \(\sqrt{80}\) which is 4\(\sqrt{5}\)

In ΔDEF,

DE = 2 --8  which is 10

EF = 6 - 2 which is 4

By Pythagoras

DF^2 = DE^2 + EF^2

DF^2 =(10)^2 + (4)^2

DF^2 = 100 + 16

DF^2 = 116

DF = \(\sqrt{116}\)

The hypotenuse AC is not equal to the hypotenuse DF. Therefore the two triangles are not similar by HL theorem.

In conclusion the two triangles are not similar by HL theorem

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Answer:

\({ \tt{2 {x}^{2} + 10x + 8 }} \\ { \tt{ = (x + 1)(x + 4)}}\)

Answer:

A. 2 ( x + 4 )( x + 1 )

Step-by-step explanation:

2x² + 10x + 8

factor out 2 from the equation

2 ( x² + 5 x + 4 )

write 5x as a sum and rewrite the expression

2 ( x² + 4x + x + 4 )

factor out x from the equation

2 ( x ( x + 4 ) + x + 4 )

factor out x + 4 from the equation

2 ( x + 4 ) ( x + 1 )

The joint probability that a randomly selected customer chose Movie A and did not enjoy it is 0.2262 or approximately 0.23.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

To solve this problem, we can use a probability tree to visualize the information given:

We can see that the joint probability of a customer choosing Movie A and not enjoying it is the product of the probabilities along the "Did not enjoy" branch of the Movie A path:

```

P(Choose Movie A and Did Not Enjoy) = P(Movie A) x P(Did not enjoy | Movie A)

                                   = 0.58 x 0.39

                                   = 0.2262

```

Therefore, the joint probability that a randomly selected customer chose Movie A and did not enjoy it is 0.2262 or approximately 0.23.

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Answer:

4(9a-4)

Step-by-step explanation:

Answer:

4(9a-4)

Step-by-step explanation:

Answer: x>5

Step-by-step explanation: Hope this help :D

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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Most firms begin their involvement in overseas business by conducting market research, forming partnerships, exporting, or making direct investments. These strategies help firms understand foreign markets and establish a foothold in new territories.

Most firms begin their involvement in overseas business by engaging in market research and analysis. This involves studying potential foreign markets to identify opportunities and assess risks. Market research helps firms understand the demand for their products or services, as well as the competition they may face in the target country.

After conducting market research, firms typically establish partnerships or alliances with local companies. This allows them to leverage the local company's knowledge of the market, distribution channels, and customer preferences. Partnerships can take various forms, such as joint ventures or licensing agreements.

Another common approach is exporting, where firms sell their products or services to foreign customers. Exporting can be done directly or indirectly through intermediaries like distributors or agents. This approach allows firms to gradually enter new markets without committing extensive resources.

Some firms may also choose to establish a physical presence in the foreign market through direct investment. This can involve setting up subsidiaries or acquiring existing companies. Direct investment provides firms with greater control and the ability to adapt to local market conditions.In summary, most firms begin their involvement in overseas business by conducting market research, forming partnerships, exporting, or making direct investments. These strategies help firms understand foreign markets and establish a foothold in new territories.

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Answer:

Flase

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

For example, speed energy releases air to move in one direction

Answer:

0.011

Step-by-step explanation:

To convert a percentage into a decimal, simply divide by 100;

Some examples are:

1% = 0.01

5% = 0.05

10% = 0.1

50% = 0.5

N.B. finding a percentage of a number is multiplying by the decimal form, so, e.g. 1.1% of 1000 is:

1000 × 0.011 = 11

Answer:

0.011

Step-by-step explanation:

To convert a percentage to a decimal, you must divide the percentage by the number 100.

Therefore, 1.1% / 100 = 0.011.

(If the question was the other way around and you wanted to turn a decimal into a percentage. All you have to do is the opposite. When you have a decimal multiply it by 100 to get a percentage.)

Hope this helped you!

Answer:

3cm, is correct.

use the surface area formula

Answer:

11.9 au

Step-by-step explanation:

The orbital period of Jupiter around the sun is 11.9 years.

Here, we have,

To solve this question, we need to understand the concept of Kelper's Third Law and how to use it.

we know that,

Kelper's Third Law:

Kelper's Third Law posits that the ratio between the square of the orbital period (T) as well as the average distance cube of a planet away from the Sun is constant for all planets circling the Sun.

T²/r³ = constant

Suppose, we make a reference to Earth, we have:

T_e²/r_e³ = T_j²/r_j³

Making the orbital period (T_j) of Jupiter as the subject, we have:

T_j = √T_e² * r_j³ /r_e³

where;

r_e = avg. distance from earth to sun = 1 au

so, calculating we get,

T_j  = 11.9 years.

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Answer:

Kahirap naman nyan

Step-by-step explanation:

Sorry

Answer:

300-70-90=140

Step-by-step explanation:

The purpose of using prefix in the metric system is to properly sale the basis of the unit so large numeric values can be used effectively.

If the metric system is not properly prefixed it can lead to various inconsistencies in the the numeric values. for example if you go to a computer store and you do not know the scale like (kb, mb, gb, tb) you will get quite confused about what is the sales representative saying

Consider you went to a store to get sugar and you do not know the metric system say(gram, kg, mg) you would not know how much sugar you need directly by taking it in your hands.

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a) She make (before taxes) $95000 profit on the sale of her part of the team.

b) Sales tax is $63750.

In mathematics, the gain from any business operation is referred to as the profit. Every time a shopkeeper sells a product, his goal is to make a profit by getting something from the customer. A profit is the amount of money you make when you sell something for more money than it cost you to produce, acquire, or perform it.

Given,

They purchased the team in 2008 for $715,000.

ownership ratio respectively is 3:6:4.

Amanda ownership = 715000 × \(\frac{6}{13}\)

Amanda ownership = 330000

She sold for $425000

a) Profit = $425000 - 330000

Profit = $95000

She make (before taxes) $95000 profit on the sale of her part of the team.

b)  sales tax = Sales price x  tax rate

Tax rate = 15%

Sales tax =  425000 × 15%

Sales tax = 63750

Sales tax is $63750.

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