Name the marked angle in 2 different ways.

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

FinnZ [79.3K]

Slope of the line = (0- -5) / 6-3) = 5/3

in point slope form the equation is

y - 0 = 5/3( x - 6)

y = 5/3x - 10

multiply through by 3:-
3y = 5x - 30
In Standard form this is

5x - 3y = 30 Answer

6 0

3 years ago

The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll

mihalych1998 [28]

Given Information:

Mean SAT score = μ = 1500

Standard deviation of SAT score = σ = 3 00

Required Information:

Minimum score in the top 10% of this test that qualifies for the scholarship = ?

Answer:

$\bar{x} = 1884\\$

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.

$P(X > \bar{x} )= P(Z > \bar{x}) = 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 1 - 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 0.90\\$

The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)

$\bar{x} = \mu + z(\sigma) \\\bar{x} = 1500 + 1.28(300)\\\bar{x} = 1500 + 384\\\bar{x} = 1884\\$

Therefore, you need to score 1884 in order to qualify for the scholarship.

How to use z-table?

Step 1:

In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2

Step 2:

Then look up at the top of z-table and note down the value of the that column which is 0.08

Step 3:

Finally, note down the intersection of step 1 and step 2 which is 1.28

4 0

2 years ago

A kitchen makes 2,944 ounces of soup each week. There are 128 ounces in 1 gallon. How many gallons of soup does the kitchen make

Rashid [163]

I calculated its 14 gallons is in two week
1 gall=128
128 x 1st week= 896
128 x 2nd week=1792divid it by 128=14
mark me as brainlest

8 0

3 years ago

If a+b+c=0 for a,b,c then prove a²/bc+b²/ca+c²/ab=3.

Ierofanga [76]

According to the identity if a+b+c=0
then a3+b3+c3=3abc
a3+b3+c3/abc=3
a2*a/bc*a+b2*b/ca*b+c2*c/ab*c=3
cancel a,b,c in all the fraction then you get
<span>a²/bc+b²/ca+c²/ab=3.
</span>hence proved

5 0

3 years ago

Michael's father bought him a 16 foot board to cut into shelves for his bedroom. Michael plans to cut the board into 11 equal pi

andrew-mc [135]

This may not be correct sorry , 16÷11 = 1.454545454545454545454545

6 0

3 years ago