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Lelechka [254]
2 years ago
11

I really need help with this one it's due today!!

Mathematics
1 answer:
baherus [9]2 years ago
4 0

Answer:

-2/3

3/2

Step-by-step explanation:

So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.

To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1

-2/3y = - 1

multiply both sides by 3/-2

y = 3/2

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Please help ASAP!!! <br><br> What is the sum of this series?
Katarina [22]

Answer:

45

Step-by-step explanation:

Since this is only three terms

Find the three terms and add

j=1   3(1)^2+1 = 3+1 =4

j=2   3(2)^2+1 = 3(4)+1 =13

j=3   3(9)^2+1 = 27+1 =28

The sum is 4+13+28 =45

6 0
3 years ago
Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

M = 2.528*0.0873 = 0.2207

Then

The lower end of the interval is the mean subtracted by M. So:

L = 3.27 - 0.2207 = 3.0493

The upper end of the interval is the mean added to M. So:

LCL = 3.27 + 0.2207 = 3.4907

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0
3 years ago
4. Simplify - 4b +(-9k) – 6 – 3b + 12.
diamong [38]

Answer:

−7b−9k+6

Step-by-step explanation:

−4b+(−3b)=−7b

+(−9k)=−9k

12−6=6

6 0
3 years ago
16. Carlos puts 0.3 of his monthly income into savings. What percent of his money
Minchanka [31]

Answer:

70%

Step-by-step explanation:

First, convert 0.3 into a percentage;

To do so, convert it 0.3 into a fraction then multiply by 100;

0.3 into a fraction = 3/10

3/10 into a percentage = \frac{3}{10} *100

The 10 at the bottom cancels out one zero at the top and you are left with 30.

Therefore percentage in Carlos' monthly savings is  = 30%

Next, calculate the percentage NOT put in savings

percentage NOT put in savings = 100% - percentage in savings;

That is ; 100% -30% =70%

Hence, 70% of his income is not put into savings.

3 0
3 years ago
THIS IS URGENT PLEASE
Naya [18.7K]

Answer:

5

Step-by-step explanation:

The side with 4 cubes has a length of 2, the side with 2 cubes has a length of 1, and the side with 5 cubes has a length of 2.5.

2 x 1 x 2.5 = 5

4 0
3 years ago
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