The gpa at the super university has a normal distribution with a mean 2.29 and standard deviation 1.29 to be an honors student at this university your GPA has to be in the top 20% what is the smallest gpa you need to have to be an honors student?

The next three terms of the given sequence are 38, 49, and 60. The correct option is A.38, 49, 60

From the question, we are to determine the next three terms in the given sequence

The given sequence is

-6,5,16,27, ...

From the given sequence, we can observe that the common difference of the sequence is 11

That is,

5 - -6 = 5 + 6 = 11

16 - 5 = 11

27 - 16 = 11

Thus, the next term after 27 will be

27 + 11 = 38

The next one will be

38 + 11 = 49

The next one will be

49 + 11 = 60

Hence, the next three terms of the given sequence are 38, 49, and 60. The correct option is A.38, 49, 60

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Answer: −9.1

Step-by-step explanation:

8.5−10.2−7.4

=−1.7−7.4

=−9.1

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Answer: $103.67

Step-by-step explanation:

Based on the given conditions, formulate: 147 x (8.5% + 1) x (1 - 35%)

Calculate the sum or difference: 147 x 1.085 x (1 - 0.35)

Calculate the sum or difference: 147 x 1.085 x 0.65

Calculate the product or quotient: 159.495 x 0.65

Calculate the product or quotient: 103.67175

Round: 103.67

Answer: $103.67

Answer:

4) 0.37

Step-by-step explanation:

If the principal randomly selects a student in grade 10 from this survey, the probability that the student is opposed to extending the school day is a division of the number of students that opposed from 10 Grade by the total number of students of the 10 Grade.

The table of the question is as:

Grade   In favor  Opposed  Undecided

9             6               4               8

10             10              11               9

11            12              15              11

12             15               6              14

So, there are 10 students in 10 grade that are in favor of the extended school day, 11 students that are Opposed and 9 students that are undecided about the extended school day. then, there are 30 student in 10 Grade

Then, the probability is:

[tex]\frac{11}{10+11+9} =\frac{11}{30}=0.37[/tex]

Hello There!

To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.

Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.

Finally, you want to find the greatest common factor but only if the fraction can be simplified.

That Is How To Multiply Fractions

Answer: The answer is: 6

Step-by-step explanation: I have my ways ;>

Have a nice day!

-Sunny

Answer:

0.835 mg of a 2.000-mg sample remains after 6.55 years.

Step-by-step explanation:

We are given that The half-life of cobalt-60 is 5.20 yr.

Formula of half life : [tex]N(t) = N(0)e^{\frac{-0.693t}{t\frac{1}{2}}}[/tex]

Where N(0) = Initial amount

N(t) = Quantity remaining after time

t = time

[tex]\frac{t}{2} =\text{half life}[/tex]

So, N(0) = Initial amount = 2 mg

t = time = 6.55 years

[tex]\frac{t}{2} =\text{half life} = 5.20 yr [/tex]

Substitute the values in the formula

Therefore,

[tex]N(t) = 2 e^{\frac{-0.693 \times 6.55}{5.20}}[/tex]

[tex]N(t) =0.835[/tex]

Hence 0.835 mg of a 2.000-mg sample remains after 6.55 years.

To find out how much sand is in each dump truck when they are the same weight, we can set up an equation based on the given information. Let's assume that the amount of sand in the first truck is x tons. We can then find the value of t that makes the weight of both trucks the same and substitute it into the equation to find x.

To find out how much sand is in each dump truck when they are the same weight, we can set up an equation based on the given information.

Let's assume that the amount of sand in the first truck is x tons. Since the conveyor belt pours sand into the truck at a constant rate of 1/4 ton per minute, the weight of the sand will increase by (1/4) * t tons, where t is the time in minutes.

Similarly, the second truck is being emptied at a rate of 1/8 ton per minute. So, the weight of sand in the second truck will decrease by (1/8) * t tons.

We know that the dump truck weighs 11.25 tons initially and 18 tons when filled. Therefore, we can set up the equation:

11.25 + (1/4) * t - (1/8) * t = 18 - x

Simplifying the equation:

(1/4) * t - (1/8) * t = 18 - 11.25 - x

(1/8) * t = 6.75 - x

t = 6.75 * 8 - 8x

Now, we need to find the value of t that makes the weight of both trucks the same. Let's substitute that value into the equation to find x.

The introduction paragraph should start with an opening statement introducing your chosen topic and providing some context, followed by your thesis statement that clearly states your argument. The given example shows how to create an introduction paragraph for an argument on 'Climate Change'.

In order to write the introduction paragraph for your argument, first remember your chosen topic from lesson 6.02. Your opening statement must introduce the topic and provide some general context about it. For instance, if your topic is 'Climate Change', then your introductory paragraph might start like this:

'In today's rapidly changing world, one issue that stands in prominence is climate change. During the last century, human activities have accelerated this process unnaturally, leading to unpredictable weather and extreme disasters.'

Then present your thesis statement that clearly expresses your stance on the issue. It could be something like:

'This essay aims to argue that proactive international cooperation is crucial in mitigating the detrimental effects of climate change.'

Make sure this paragraph is captivating and clear as it sets the tone for the rest of your essay.

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