All categories

2 years ago

Helllllllllllppppppppp

Mathematics

2 answers:

Verdich [7]2 years ago

6 0

-1/2 because slope is rise over run

andrew11 [14]2 years ago

3 0

-1/2 because slope is the rise over the run. If you count on the grid from one point on the line to another you go up one and 2 to the left meaning the slope is 1/2, buttttt when the line decreases going to the right, it has a negative slope so you just add a - sign in front

You might be interested in

What is the value of S4 for

zzz [600]

Answer:

Step-by-step explanation:

To find s4 we find sum of values when n=1,n=2,n=3,n=4

given expression is $6(2)^{n-1}$

n=1 , plug in 1 for n

$6(2)^{1-1}=6$

n=2

$6(2)^{2-1}=12$

n=3

$6(2)^{3-1}=24$

n=4

$6(2)^{4-1}=48$

Sum of all 4 terms = 6+12+24+48=90

4 0

2 years ago

It is estimated that the average amount owed for student loans in 2010 was $25,250 per student. If the interest rate for studen

Nostrana [21]

Given:
loan amount: 25,250
original interest rate: 3.4%
new interest rate: 6.8%
term: 10 years.

Assuming that simple interest formula is used.
I = P * r * t
I = interest
P = principal
r = interest rate
t = term/time

I = 25,250 * 3.4% * 10 years
I = 8,585

I = 25,250 * 6.8% * 10 years
I = 17,170

17,170 - 8,585 = 8,585 Additional interest paid using the new interest rate.

Using an online loan repayment calculator: Here are the following data:
Loan Balance:$25,250.00
Adjusted Loan Balance:$25,250.00Loan
Interest Rate:6.80%
Loan Fees:0.00%
Loan Term:10 years
Minimum Payment:$0.00
Monthly Loan Payment:$290.58
Number of Payments:120
Cumulative Payments:$34,869.23
Total Interest Paid:$9,619.23

Loan Balance:$25,250.00
Adjusted Loan Balance:$25,250.00
Loan Interest Rate:3.40%
Loan Fees:0.00%
Loan Term:10 years
Minimum Payment:$0.00
Monthly Loan Payment:$248.51
Number of Payments:120
Cumulative Payments:$29,820.59
Total Interest Paid:$4,570.59

6 0

3 years ago

Through: (-3,0), perp. to y = 3x - 1

Marrrta [24]

Answer:

$y=-\dfrac{1}{3}x-1$

Step-by-step explanation:

Given:

line y=3x-1

point (-3,0)

Write: equation of the line that is perpendicular to the given and passes through the point (-3,0)

Solution:

The slope of the given line is $m=3$

If $m_1$ is the slope of perpendicular line, then

$m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}$

So, the equation of the needed line is $y=-\dfrac{1}{3}x+b.$

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

$0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1$

7 0

2 years ago

How do u simplify these radicals???

AlladinOne [14]

1. √48 → √16 * √3  =  4√3

3. √12 → √4 * √3 = 2√3

7. √125  → √25 * √5 = 5√5

8. √20  →  √4 *  √5 = 2√5

9.  √18  →  √9 *  √2 = 3√2

10. √32  →  √16 *  √2 = 4√2

11.  √50  →  √25 *  √2 = 5√2

12.  √27  →  √9 * √3 = 3√3

4 0

3 years ago

A sample size 25 is picked up at random from a population which is normally

Margarita [4]

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .